diff --git a/dsLightRag/Topic/JiHe/graph_chunk_entity_relation.graphml b/dsLightRag/Topic/JiHe/graph_chunk_entity_relation.graphml new file mode 100644 index 00000000..13475418 --- /dev/null +++ b/dsLightRag/Topic/JiHe/graph_chunk_entity_relation.graphml @@ -0,0 +1,393 @@ + + + + + + + + + + + + + + + + + Triangle ABC + category + Triangle ABC is the primary geometric figure used in the proof of the triangle inequality and angle relationships. + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + Point D + category + Point D is constructed by extending line AB and adding segment BD equal to BC, forming an isosceles triangle. + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + Point P + category + Point P is an arbitrary interior point of triangle ABC, used to demonstrate angle relationships. + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + Euclid's Fifth Postulate + category + Euclid's Fifth Postulate is referenced to justify angle comparisons in the geometric proof. + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + Proposition 19 of the Elements + category + Proposition 19 from Euclid's Elements is cited to establish the relationship between angles and opposite sides in the proof. + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + 三角形ABC + category + 三角形ABC是证明三角形三边关系的核心几何图形，用于展示边与角的几何性质。 + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + 三角不等式 + category + 三角不等式是几何学中描述三角形边长关系的基本定理，形式为|AB|+|BC|＞|AC|。 + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + 欧几里得第五公理 + category + 欧几里得第五公理是几何学基础公理之一，用于证明角的大小关系。 + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + 几何原本 + category + 《几何原本》是欧几里得的经典数学著作，包含命题19等核心几何定理。 + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + 命题19 + category + 命题19指出‘大角对大边’，是三角形边角关系的关键依据。 + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + 点D + category + 点D是通过延长AB并添加BD=BC构造的辅助点，形成等腰三角形BCD。 + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + 点P + category + 点P是三角形ABC内部的任意点，用于证明角∠BPC与角∠A的关系。 + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + BP + geo + BP is a geometric line segment intersecting AC at point D. + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + AC + geo + AC is a geometric line segment intersected by BP at point D. + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + D + geo + D is the intersection point of BP and AC. + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + ∠BPC + category + ∠BPC is an angle formed at point P, exterior to triangle PCD. + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + ∠PCD + category + ∠PCD is an angle within triangle PCD. + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + ∠PDC + category + ∠PDC is an angle within triangle PCD and exterior to triangle BAD. + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + ∠DBA + category + ∠DBA is an angle within triangle BAD. + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + ∠A + category + ∠A is an angle within triangle BAD. + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + △PCD + category + △PCD is a triangle formed by points P, C, and D, with ∠PCD and ∠PDC as its interior angles. + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + △BAD + category + △BAD is a triangle formed by points B, A, and D, with ∠DBA and ∠A as its interior angles. + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + P + geo + P is a geometric point where BP originates and ∠BPC is formed. + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + B + geo + B is a geometric point where BP originates and ∠DBA is formed. + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + C + geo + C is a geometric point where AC terminates and ∠PCD is formed. + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + A + geo + A is a geometric point where AC originates and ∠A is formed. + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + 8.0 + Point D is constructed from triangle ABC by extending AB and adding segment BD equal to BC. + geometric construction,triangle extension + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + 9.0 + Proposition 19 is applied to triangle ABC to justify the relationship between angles and sides. + angle-side relationship,geometric theorem + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + 8.0 + Point P is an interior point of triangle ABC, used to demonstrate angle relationships within the triangle. + angle proof,interior point + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + 7.0 + Euclid's Fifth Postulate is used to compare angles in triangle ACD, which includes point D. + angle comparison,geometric proof + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + 9.0 + 三角不等式直接应用于三角形ABC的三边关系证明。 + 几何定理,边角关系 + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + 8.0 + 第五公理用于比较三角形ACD中的角度，与三角形ABC的构造相关。 + 公理应用,角度推导 + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + 9.0 + 命题19被用于证明三角形ABC中边AD与边AC的关系。 + 几何推理,边角逻辑 + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + 7.0 + 点D是三角形ABC的延伸构造，用于辅助证明边角不等式。 + 几何扩展,辅助构造 + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + 8.0 + 点P的存在证明了三角形内部点的角与顶角的关系。 + 内部角度,几何性质 + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + 10.0 + 命题19源自《几何原本》，是证明边角关系的理论来源。 + 定理引用,数学经典 + chunk-75b23a7e22383153b011bd3d121184f0 + unknown_source + 1752211508 + + + 8.0 + BP intersects AC at point D, forming geometric relationships. + geometric construction,intersection + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + 7.0 + P is the endpoint of BP where ∠BPC is formed. + angle formation,point-line connection + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + 8.0 + B is the endpoint of BP where it originates. + line origin,point-line connection + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + 8.0 + C is the endpoint of AC where it terminates. + line termination,point-line connection + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + 8.0 + A is the endpoint of AC where it originates. + line origin,point-line connection + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + 9.0 + ∠BPC is the sum of ∠PCD and ∠PDC, showing an exterior angle relationship. + angle sum,exterior angle theorem + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + 7.0 + ∠BPC is greater than ∠A due to the sum of angles in the geometric proof. + angle comparison,inequality + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + 9.0 + ∠BPC is an exterior angle of △PCD, equal to the sum of its non-adjacent interior angles. + angle sum,exterior angle theorem + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + 9.0 + ∠PDC is the sum of ∠DBA and ∠A, demonstrating an exterior angle relationship. + angle sum,exterior angle theorem + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + 9.0 + ∠PDC is an exterior angle of △BAD, equal to the sum of its non-adjacent interior angles. + angle sum,exterior angle theorem + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + 7.0 + Both triangles share point D and are part of the geometric proof involving angle relationships. + geometric proof,shared vertex + chunk-e2c7bd24a26246e194d4d56ab2ed22f1 + unknown_source + 1752211508 + + + diff --git a/dsLightRag/Topic/JiHe/kv_store_doc_status.json b/dsLightRag/Topic/JiHe/kv_store_doc_status.json index c0dfc989..43beb607 100644 --- a/dsLightRag/Topic/JiHe/kv_store_doc_status.json +++ b/dsLightRag/Topic/JiHe/kv_store_doc_status.json @@ -1,12 +1,12 @@ { - "doc-8fa97201fba58acd19b922cb8b994666": { - "status": "processing", - "chunks_count": 1, - "content": "三角形三边关系的证明\n证明方法如下：\n作下图所示的三角形ABC。在三角形ABC中，[三角不等式](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E4%B8%89%E8%A7%92%E4%B8%8D%E7%AD%89%E5%BC%8F&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLkuInop5LkuI3nrYnlvI8iLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.rH6r8SvGmu-I9piEsmZfg2HjbXzUduYclZ2jfA3jZRs&zhida_source=entity)可以表示为|AB|+|BC|＞|AC|。\n![](./Images/778094016d3642f2bc43eeaf1074cc38/media/image1.png)\nheight=\"1.91044072615923in\"}\n①延长直线AB至点D，并使|BD|=|BC|，连接|DC|，那么三角形BCD为等腰三角形。所以∠BDC=∠BCD。\n②记它们均为α，根据[欧几里得第五公理](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97%E7%AC%AC%E4%BA%94%E5%85%AC%E7%90%86&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLmrKflh6Dph4zlvpfnrKzkupTlhaznkIYiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.ltcWsMYJv-ZzcuBaSjYN69JC8hnIyPMFsfhIlum4yqc&zhida_source=entity)，∠ACD大于角∠ADC(α)。\n③由于∠ACD的对边为AD，∠ADC(α)的对边为AC，所以根据大角对大边([几何原本](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E5%87%A0%E4%BD%95%E5%8E%9F%E6%9C%AC&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLlh6DkvZXljp_mnKwiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.Q1rCY0S2bj5Dwp3Fg7xb_VSFESz2_pCUETDybnHANvo&zhida_source=entity)中的命题19)就可以得到|AB|+|BC|=|AB|+|BD|=|AD|＞|AC|。", + "doc-744d2f4e81528499ae55a82849ed415b": { + "status": "processed", + "chunks_count": 2, + "content": "三角形三边关系的证明\n证明方法如下：\n作下图所示的三角形ABC。在三角形ABC中，[三角不等式](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E4%B8%89%E8%A7%92%E4%B8%8D%E7%AD%89%E5%BC%8F&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLkuInop5LkuI3nrYnlvI8iLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.rH6r8SvGmu-I9piEsmZfg2HjbXzUduYclZ2jfA3jZRs&zhida_source=entity)可以表示为|AB|+|BC|＞|AC|。\n![](./Images/868c80b8ff2547adb2d6b6c62c9b4c41/media/image1.png)\nheight=\"1.91044072615923in\"}\n①延长直线AB至点D，并使|BD|=|BC|，连接|DC|，那么三角形BCD为等腰三角形。所以∠BDC=∠BCD。\n②记它们均为α，根据[欧几里得第五公理](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97%E7%AC%AC%E4%BA%94%E5%85%AC%E7%90%86&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLmrKflh6Dph4zlvpfnrKzkupTlhaznkIYiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.ltcWsMYJv-ZzcuBaSjYN69JC8hnIyPMFsfhIlum4yqc&zhida_source=entity)，∠ACD大于角∠ADC(α)。\n③由于∠ACD的对边为AD，∠ADC(α)的对边为AC，所以根据大角对大边([几何原本](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E5%87%A0%E4%BD%95%E5%8E%9F%E6%9C%AC&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLlh6DkvZXljp_mnKwiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.Q1rCY0S2bj5Dwp3Fg7xb_VSFESz2_pCUETDybnHANvo&zhida_source=entity)中的命题19)就可以得到|AB|+|BC|=|AB|+|BD|=|AD|＞|AC|。\n求证：在三角形ABC中，P为其内部任意一点。请证明：∠BPC > ∠A。\n证明过程：\n![](./Images/868c80b8ff2547adb2d6b6c62c9b4c41/media/image2.png)\n延长BP交AC于D\n∵∠BPC是△PCD的一个外角，∠PDC是△BAD的一个外角\n∴∠BPC=∠PCD+∠PDC，∠PDC=∠DBA+∠A\n∴∠BPC=∠PCD+∠DBA+∠A\n∴∠BPC＞∠A", "content_summary": "三角形三边关系的证明\n证明方法如下：\n作下图所示的三角形ABC。在三角形ABC中，[三角不等式](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E4%B8%89%E8%A7%92%E4%B8%8D%E7%AD%89%E5%BC%8F&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9z...", - "content_length": 1770, - "created_at": "2025-07-11T05:18:03.554273+00:00", - "updated_at": "2025-07-11T05:18:03.557544+00:00", + "content_length": 1975, + "created_at": "2025-07-11T05:24:21.601678+00:00", + "updated_at": "2025-07-11T05:25:09.796687+00:00", "file_path": "unknown_source" } } \ No newline at end of file diff --git a/dsLightRag/Topic/JiHe/kv_store_full_docs.json b/dsLightRag/Topic/JiHe/kv_store_full_docs.json new file mode 100644 index 00000000..fde7064e --- /dev/null +++ b/dsLightRag/Topic/JiHe/kv_store_full_docs.json @@ -0,0 +1,5 @@ +{ + "doc-744d2f4e81528499ae55a82849ed415b": { + "content": "三角形三边关系的证明\n证明方法如下：\n作下图所示的三角形ABC。在三角形ABC中，[三角不等式](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E4%B8%89%E8%A7%92%E4%B8%8D%E7%AD%89%E5%BC%8F&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLkuInop5LkuI3nrYnlvI8iLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.rH6r8SvGmu-I9piEsmZfg2HjbXzUduYclZ2jfA3jZRs&zhida_source=entity)可以表示为|AB|+|BC|＞|AC|。\n![](./Images/868c80b8ff2547adb2d6b6c62c9b4c41/media/image1.png)\nheight=\"1.91044072615923in\"}\n①延长直线AB至点D，并使|BD|=|BC|，连接|DC|，那么三角形BCD为等腰三角形。所以∠BDC=∠BCD。\n②记它们均为α，根据[欧几里得第五公理](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97%E7%AC%AC%E4%BA%94%E5%85%AC%E7%90%86&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLmrKflh6Dph4zlvpfnrKzkupTlhaznkIYiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.ltcWsMYJv-ZzcuBaSjYN69JC8hnIyPMFsfhIlum4yqc&zhida_source=entity)，∠ACD大于角∠ADC(α)。\n③由于∠ACD的对边为AD，∠ADC(α)的对边为AC，所以根据大角对大边([几何原本](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E5%87%A0%E4%BD%95%E5%8E%9F%E6%9C%AC&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLlh6DkvZXljp_mnKwiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.Q1rCY0S2bj5Dwp3Fg7xb_VSFESz2_pCUETDybnHANvo&zhida_source=entity)中的命题19)就可以得到|AB|+|BC|=|AB|+|BD|=|AD|＞|AC|。\n求证：在三角形ABC中，P为其内部任意一点。请证明：∠BPC > ∠A。\n证明过程：\n![](./Images/868c80b8ff2547adb2d6b6c62c9b4c41/media/image2.png)\n延长BP交AC于D\n∵∠BPC是△PCD的一个外角，∠PDC是△BAD的一个外角\n∴∠BPC=∠PCD+∠PDC，∠PDC=∠DBA+∠A\n∴∠BPC=∠PCD+∠DBA+∠A\n∴∠BPC＞∠A" + } +} \ No newline at end of file diff --git a/dsLightRag/Topic/JiHe/kv_store_llm_response_cache.json b/dsLightRag/Topic/JiHe/kv_store_llm_response_cache.json index ac83202a..7c992bd2 100644 --- a/dsLightRag/Topic/JiHe/kv_store_llm_response_cache.json +++ b/dsLightRag/Topic/JiHe/kv_store_llm_response_cache.json @@ -59,6 +59,66 @@ "embedding_min": null, "embedding_max": null, "original_prompt": "[{\"role\": \"user\", \"content\": \"---Goal---\\nGiven a text document that is potentially relevant to this activity and a list of entity types, identify all entities of those types from the text and all relationships among the identified entities.\\nUse English as output language.\\n\\n---Steps---\\n1. Identify all entities. For each identified entity, extract the following information:\\n- entity_name: Name of the entity, use same language as input text. If English, capitalized the name.\\n- entity_type: One of the following types: [organization,person,geo,event,category]\\n- entity_description: Comprehensive description of the entity's attributes and activities\\nFormat each entity as (\\\"entity\\\"<|><|><|>)\\n\\n2. From the entities identified in step 1, identify all pairs of (source_entity, target_entity) that are *clearly related* to each other.\\nFor each pair of related entities, extract the following information:\\n- source_entity: name of the source entity, as identified in step 1\\n- target_entity: name of the target entity, as identified in step 1\\n- relationship_description: explanation as to why you think the source entity and the target entity are related to each other\\n- relationship_strength: a numeric score indicating strength of the relationship between the source entity and target entity\\n- relationship_keywords: one or more high-level key words that summarize the overarching nature of the relationship, focusing on concepts or themes rather than specific details\\nFormat each relationship as (\\\"relationship\\\"<|><|><|><|><|>)\\n\\n3. Identify high-level key words that summarize the main concepts, themes, or topics of the entire text. These should capture the overarching ideas present in the document.\\nFormat the content-level key words as (\\\"content_keywords\\\"<|>)\\n\\n4. Return output in English as a single list of all the entities and relationships identified in steps 1 and 2. Use **##** as the list delimiter.\\n\\n5. When finished, output <|COMPLETE|>\\n\\n######################\\n---Examples---\\n######################\\nExample 1:\\n\\nEntity_types: [person, technology, mission, organization, location]\\nText:\\n```\\nwhile Alex clenched his jaw, the buzz of frustration dull against the backdrop of Taylor's authoritarian certainty. It was this competitive undercurrent that kept him alert, the sense that his and Jordan's shared commitment to discovery was an unspoken rebellion against Cruz's narrowing vision of control and order.\\n\\nThen Taylor did something unexpected. They paused beside Jordan and, for a moment, observed the device with something akin to reverence. \\\"If this tech can be understood...\\\" Taylor said, their voice quieter, \\\"It could change the game for us. For all of us.\\\"\\n\\nThe underlying dismissal earlier seemed to falter, replaced by a glimpse of reluctant respect for the gravity of what lay in their hands. Jordan looked up, and for a fleeting heartbeat, their eyes locked with Taylor's, a wordless clash of wills softening into an uneasy truce.\\n\\nIt was a small transformation, barely perceptible, but one that Alex noted with an inward nod. They had all been brought here by different paths\\n```\\n\\nOutput:\\n(\\\"entity\\\"<|>\\\"Alex\\\"<|>\\\"person\\\"<|>\\\"Alex is a character who experiences frustration and is observant of the dynamics among other characters.\\\")##\\n(\\\"entity\\\"<|>\\\"Taylor\\\"<|>\\\"person\\\"<|>\\\"Taylor is portrayed with authoritarian certainty and shows a moment of reverence towards a device, indicating a change in perspective.\\\")##\\n(\\\"entity\\\"<|>\\\"Jordan\\\"<|>\\\"person\\\"<|>\\\"Jordan shares a commitment to discovery and has a significant interaction with Taylor regarding a device.\\\")##\\n(\\\"entity\\\"<|>\\\"Cruz\\\"<|>\\\"person\\\"<|>\\\"Cruz is associated with a vision of control and order, influencing the dynamics among other characters.\\\")##\\n(\\\"entity\\\"<|>\\\"The Device\\\"<|>\\\"technology\\\"<|>\\\"The Device is central to the story, with potential game-changing implications, and is revered by Taylor.\\\")##\\n(\\\"relationship\\\"<|>\\\"Alex\\\"<|>\\\"Taylor\\\"<|>\\\"Alex is affected by Taylor's authoritarian certainty and observes changes in Taylor's attitude towards the device.\\\"<|>\\\"power dynamics, perspective shift\\\"<|>7)##\\n(\\\"relationship\\\"<|>\\\"Alex\\\"<|>\\\"Jordan\\\"<|>\\\"Alex and Jordan share a commitment to discovery, which contrasts with Cruz's vision.\\\"<|>\\\"shared goals, rebellion\\\"<|>6)##\\n(\\\"relationship\\\"<|>\\\"Taylor\\\"<|>\\\"Jordan\\\"<|>\\\"Taylor and Jordan interact directly regarding the device, leading to a moment of mutual respect and an uneasy truce.\\\"<|>\\\"conflict resolution, mutual respect\\\"<|>8)##\\n(\\\"relationship\\\"<|>\\\"Jordan\\\"<|>\\\"Cruz\\\"<|>\\\"Jordan's commitment to discovery is in rebellion against Cruz's vision of control and order.\\\"<|>\\\"ideological conflict, rebellion\\\"<|>5)##\\n(\\\"relationship\\\"<|>\\\"Taylor\\\"<|>\\\"The Device\\\"<|>\\\"Taylor shows reverence towards the device, indicating its importance and potential impact.\\\"<|>\\\"reverence, technological significance\\\"<|>9)##\\n(\\\"content_keywords\\\"<|>\\\"power dynamics, ideological conflict, discovery, rebellion\\\")<|COMPLETE|>\\n#############################\\nExample 2:\\n\\nEntity_types: [company, index, commodity, market_trend, economic_policy, biological]\\nText:\\n```\\nStock markets faced a sharp downturn today as tech giants saw significant declines, with the Global Tech Index dropping by 3.4% in midday trading. Analysts attribute the selloff to investor concerns over rising interest rates and regulatory uncertainty.\\n\\nAmong the hardest hit, Nexon Technologies saw its stock plummet by 7.8% after reporting lower-than-expected quarterly earnings. In contrast, Omega Energy posted a modest 2.1% gain, driven by rising oil prices.\\n\\nMeanwhile, commodity markets reflected a mixed sentiment. Gold futures rose by 1.5%, reaching $2,080 per ounce, as investors sought safe-haven assets. Crude oil prices continued their rally, climbing to $87.60 per barrel, supported by supply constraints and strong demand.\\n\\nFinancial experts are closely watching the Federal Reserve's next move, as speculation grows over potential rate hikes. The upcoming policy announcement is expected to influence investor confidence and overall market stability.\\n```\\n\\nOutput:\\n(\\\"entity\\\"<|>\\\"Global Tech Index\\\"<|>\\\"index\\\"<|>\\\"The Global Tech Index tracks the performance of major technology stocks and experienced a 3.4% decline today.\\\")##\\n(\\\"entity\\\"<|>\\\"Nexon Technologies\\\"<|>\\\"company\\\"<|>\\\"Nexon Technologies is a tech company that saw its stock decline by 7.8% after disappointing earnings.\\\")##\\n(\\\"entity\\\"<|>\\\"Omega Energy\\\"<|>\\\"company\\\"<|>\\\"Omega Energy is an energy company that gained 2.1% in stock value due to rising oil prices.\\\")##\\n(\\\"entity\\\"<|>\\\"Gold Futures\\\"<|>\\\"commodity\\\"<|>\\\"Gold futures rose by 1.5%, indicating increased investor interest in safe-haven assets.\\\")##\\n(\\\"entity\\\"<|>\\\"Crude Oil\\\"<|>\\\"commodity\\\"<|>\\\"Crude oil prices rose to $87.60 per barrel due to supply constraints and strong demand.\\\")##\\n(\\\"entity\\\"<|>\\\"Market Selloff\\\"<|>\\\"market_trend\\\"<|>\\\"Market selloff refers to the significant decline in stock values due to investor concerns over interest rates and regulations.\\\")##\\n(\\\"entity\\\"<|>\\\"Federal Reserve Policy Announcement\\\"<|>\\\"economic_policy\\\"<|>\\\"The Federal Reserve's upcoming policy announcement is expected to impact investor confidence and market stability.\\\")##\\n(\\\"relationship\\\"<|>\\\"Global Tech Index\\\"<|>\\\"Market Selloff\\\"<|>\\\"The decline in the Global Tech Index is part of the broader market selloff driven by investor concerns.\\\"<|>\\\"market performance, investor sentiment\\\"<|>9)##\\n(\\\"relationship\\\"<|>\\\"Nexon Technologies\\\"<|>\\\"Global Tech Index\\\"<|>\\\"Nexon Technologies' stock decline contributed to the overall drop in the Global Tech Index.\\\"<|>\\\"company impact, index movement\\\"<|>8)##\\n(\\\"relationship\\\"<|>\\\"Gold Futures\\\"<|>\\\"Market Selloff\\\"<|>\\\"Gold prices rose as investors sought safe-haven assets during the market selloff.\\\"<|>\\\"market reaction, safe-haven investment\\\"<|>10)##\\n(\\\"relationship\\\"<|>\\\"Federal Reserve Policy Announcement\\\"<|>\\\"Market Selloff\\\"<|>\\\"Speculation over Federal Reserve policy changes contributed to market volatility and investor selloff.\\\"<|>\\\"interest rate impact, financial regulation\\\"<|>7)##\\n(\\\"content_keywords\\\"<|>\\\"market downturn, investor sentiment, commodities, Federal Reserve, stock performance\\\")<|COMPLETE|>\\n#############################\\nExample 3:\\n\\nEntity_types: [economic_policy, athlete, event, location, record, organization, equipment]\\nText:\\n```\\nAt the World Athletics Championship in Tokyo, Noah Carter broke the 100m sprint record using cutting-edge carbon-fiber spikes.\\n```\\n\\nOutput:\\n(\\\"entity\\\"<|>\\\"World Athletics Championship\\\"<|>\\\"event\\\"<|>\\\"The World Athletics Championship is a global sports competition featuring top athletes in track and field.\\\")##\\n(\\\"entity\\\"<|>\\\"Tokyo\\\"<|>\\\"location\\\"<|>\\\"Tokyo is the host city of the World Athletics Championship.\\\")##\\n(\\\"entity\\\"<|>\\\"Noah Carter\\\"<|>\\\"athlete\\\"<|>\\\"Noah Carter is a sprinter who set a new record in the 100m sprint at the World Athletics Championship.\\\")##\\n(\\\"entity\\\"<|>\\\"100m Sprint Record\\\"<|>\\\"record\\\"<|>\\\"The 100m sprint record is a benchmark in athletics, recently broken by Noah Carter.\\\")##\\n(\\\"entity\\\"<|>\\\"Carbon-Fiber Spikes\\\"<|>\\\"equipment\\\"<|>\\\"Carbon-fiber spikes are advanced sprinting shoes that provide enhanced speed and traction.\\\")##\\n(\\\"entity\\\"<|>\\\"World Athletics Federation\\\"<|>\\\"organization\\\"<|>\\\"The World Athletics Federation is the governing body overseeing the World Athletics Championship and record validations.\\\")##\\n(\\\"relationship\\\"<|>\\\"World Athletics Championship\\\"<|>\\\"Tokyo\\\"<|>\\\"The World Athletics Championship is being hosted in Tokyo.\\\"<|>\\\"event location, international competition\\\"<|>8)##\\n(\\\"relationship\\\"<|>\\\"Noah Carter\\\"<|>\\\"100m Sprint Record\\\"<|>\\\"Noah Carter set a new 100m sprint record at the championship.\\\"<|>\\\"athlete achievement, record-breaking\\\"<|>10)##\\n(\\\"relationship\\\"<|>\\\"Noah Carter\\\"<|>\\\"Carbon-Fiber Spikes\\\"<|>\\\"Noah Carter used carbon-fiber spikes to enhance performance during the race.\\\"<|>\\\"athletic equipment, performance boost\\\"<|>7)##\\n(\\\"relationship\\\"<|>\\\"World Athletics Federation\\\"<|>\\\"100m Sprint Record\\\"<|>\\\"The World Athletics Federation is responsible for validating and recognizing new sprint records.\\\"<|>\\\"sports regulation, record certification\\\"<|>9)##\\n(\\\"content_keywords\\\"<|>\\\"athletics, sprinting, record-breaking, sports technology, competition\\\")<|COMPLETE|>\\n#############################\\n\\n#############################\\n---Real Data---\\n######################\\nEntity_types: [organization,person,geo,event,category]\\nText:\\n三角形三边关系的证明\\n证明方法如下：\\n作下图所示的三角形ABC。在三角形ABC中，[三角不等式](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E4%B8%89%E8%A7%92%E4%B8%8D%E7%AD%89%E5%BC%8F&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLkuInop5LkuI3nrYnlvI8iLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.rH6r8SvGmu-I9piEsmZfg2HjbXzUduYclZ2jfA3jZRs&zhida_source=entity)可以表示为|AB|+|BC|＞|AC|。\\n![](./Images/d72b044f1c5c4eb4b8ae6d5bf3352436/media/image1.png)\\nheight=\\\"1.91044072615923in\\\"}\\n①延长直线AB至点D，并使|BD|=|BC|，连接|DC|，那么三角形BCD为等腰三角形。所以∠BDC=∠BCD。\\n②记它们均为α，根据[欧几里得第五公理](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97%E7%AC%AC%E4%BA%94%E5%85%AC%E7%90%86&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLmrKflh6Dph4zlvpfnrKzkupTlhaznkIYiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.ltcWsMYJv-ZzcuBaSjYN69JC8hnIyPMFsfhIlum4yqc&zhida_source=entity)，∠ACD大于角∠ADC(α)。\\n③由于∠ACD的对边为AD，∠ADC(α)的对边为AC，所以根据大角对大边([几何原本](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E5%87%A0%E4%BD%95%E5%8E%9F%E6%9C%AC&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLlh6DkvZXljp_mnKwiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.Q1rCY0S2bj5Dwp3Fg7xb_VSFESz2_pCUETDybnHANvo&zhida_source=entity)中的命题19)就可以得到|AB|+|BC|=|AB|+|BD|=|AD|＞|AC|。\\n######################\\nOutput:\"}, {\"role\": \"assistant\", \"content\": \"(\\\"entity\\\"<|>\\\"三角形ABC\\\"<|>\\\"category\\\"<|>\\\"A geometric figure used in the proof of the triangle inequality, demonstrating relationships between its sides and angles.\\\")##\\n(\\\"entity\\\"<|>\\\"三角不等式\\\"<|>\\\"category\\\"<|>\\\"A mathematical inequality stating that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.\\\")##\\n(\\\"entity\\\"<|>\\\"欧几里得第五公理\\\"<|>\\\"category\\\"<|>\\\"A fundamental postulate in Euclidean geometry, also known as the parallel postulate, used in geometric proofs.\\\")##\\n(\\\"entity\\\"<|>\\\"几何原本\\\"<|>\\\"category\\\"<|>\\\"A foundational mathematical text by Euclid, containing definitions, postulates, and propositions that form the basis of classical geometry.\\\")##\\n(\\\"relationship\\\"<|>\\\"三角形ABC\\\"<|>\\\"三角不等式\\\"<|>\\\"The triangle ABC is used to demonstrate the triangle inequality, proving the relationship between its sides.\\\"<|>\\\"geometric proof, inequality\\\"<|>9)##\\n(\\\"relationship\\\"<|>\\\"欧几里得第五公理\\\"<|>\\\"几何原本\\\"<|>\\\"Euclid's fifth postulate is a key component of the geometric principles outlined in the '几何原本' (Elements).\\\"<|>\\\"mathematical foundation, Euclidean geometry\\\"<|>8)##\\n(\\\"relationship\\\"<|>\\\"三角不等式\\\"<|>\\\"几何原本\\\"<|>\\\"The triangle inequality is a concept that aligns with the propositions in Euclid's '几何原本' (Elements).\\\"<|>\\\"mathematical theory, geometric principles\\\"<|>7)##\\n(\\\"content_keywords\\\"<|>\\\"geometry, triangle inequality, Euclidean principles, mathematical proof\\\")<|COMPLETE|>\"}]\nMANY entities and relationships were missed in the last extraction.\n\n---Remember Steps---\n\n1. Identify all entities. For each identified entity, extract the following information:\n- entity_name: Name of the entity, use same language as input text. If English, capitalized the name.\n- entity_type: One of the following types: [organization,person,geo,event,category]\n- entity_description: Comprehensive description of the entity's attributes and activities\nFormat each entity as (\"entity\"<|><|><|>)\n\n2. From the entities identified in step 1, identify all pairs of (source_entity, target_entity) that are *clearly related* to each other.\nFor each pair of related entities, extract the following information:\n- source_entity: name of the source entity, as identified in step 1\n- target_entity: name of the target entity, as identified in step 1\n- relationship_description: explanation as to why you think the source entity and the target entity are related to each other\n- relationship_strength: a numeric score indicating strength of the relationship between the source entity and target entity\n- relationship_keywords: one or more high-level key words that summarize the overarching nature of the relationship, focusing on concepts or themes rather than specific details\nFormat each relationship as (\"relationship\"<|><|><|><|><|>)\n\n3. Identify high-level key words that summarize the main concepts, themes, or topics of the entire text. These should capture the overarching ideas present in the document.\nFormat the content-level key words as (\"content_keywords\"<|>)\n\n4. Return output in English as a single list of all the entities and relationships identified in steps 1 and 2. Use **##** as the list delimiter.\n\n5. When finished, output <|COMPLETE|>\n\n---Output---\n\nAdd them below using the same format:" + }, + "c7d05d7830c26ad48bf40da91678bc1c": { + "return": "(\"entity\"<|>\"Triangle ABC\"<|>\"category\"<|>\"Triangle ABC is the geometric figure used to demonstrate the triangle inequality theorem.\")##\n(\"entity\"<|>\"Triangle Inequality\"<|>\"category\"<|>\"The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.\")##\n(\"entity\"<|>\"Euclid's Fifth Postulate\"<|>\"category\"<|>\"Euclid's Fifth Postulate is a foundational principle in geometry used in the proof of the triangle inequality.\")##\n(\"entity\"<|>\"Proposition 19\"<|>\"category\"<|>\"Proposition 19 from Euclid's Elements states that in any triangle, the greater angle is subtended by the greater side.\")##\n(\"relationship\"<|>\"Triangle ABC\"<|>\"Triangle Inequality\"<|>\"Triangle ABC is used to demonstrate the triangle inequality theorem.\"<|>\"geometric proof, mathematical theorem\"<|>8)##\n(\"relationship\"<|>\"Triangle Inequality\"<|>\"Euclid's Fifth Postulate\"<|>\"The proof of the triangle inequality relies on Euclid's Fifth Postulate.\"<|>\"mathematical foundation, geometric principles\"<|>7)##\n(\"relationship\"<|>\"Euclid's Fifth Postulate\"<|>\"Proposition 19\"<|>\"Euclid's Fifth Postulate is used alongside Proposition 19 to prove the triangle inequality.\"<|>\"logical reasoning, geometric theorems\"<|>9)##\n(\"content_keywords\"<|>\"geometry, triangle inequality, Euclid's Elements, mathematical proof\")<|COMPLETE|>", + "cache_type": "extract", + "chunk_id": "chunk-8fa97201fba58acd19b922cb8b994666", + "embedding": null, + "embedding_shape": null, + "embedding_min": null, + "embedding_max": null, + "original_prompt": "---Goal---\nGiven a text document that is potentially relevant to this activity and a list of entity types, identify all entities of those types from the text and all relationships among the identified entities.\nUse English as output language.\n\n---Steps---\n1. Identify all entities. For each identified entity, extract the following information:\n- entity_name: Name of the entity, use same language as input text. If English, capitalized the name.\n- entity_type: One of the following types: [organization,person,geo,event,category]\n- entity_description: Comprehensive description of the entity's attributes and activities\nFormat each entity as (\"entity\"<|><|><|>)\n\n2. From the entities identified in step 1, identify all pairs of (source_entity, target_entity) that are *clearly related* to each other.\nFor each pair of related entities, extract the following information:\n- source_entity: name of the source entity, as identified in step 1\n- target_entity: name of the target entity, as identified in step 1\n- relationship_description: explanation as to why you think the source entity and the target entity are related to each other\n- relationship_strength: a numeric score indicating strength of the relationship between the source entity and target entity\n- relationship_keywords: one or more high-level key words that summarize the overarching nature of the relationship, focusing on concepts or themes rather than specific details\nFormat each relationship as (\"relationship\"<|><|><|><|><|>)\n\n3. Identify high-level key words that summarize the main concepts, themes, or topics of the entire text. These should capture the overarching ideas present in the document.\nFormat the content-level key words as (\"content_keywords\"<|>)\n\n4. Return output in English as a single list of all the entities and relationships identified in steps 1 and 2. Use **##** as the list delimiter.\n\n5. When finished, output <|COMPLETE|>\n\n######################\n---Examples---\n######################\nExample 1:\n\nEntity_types: [person, technology, mission, organization, location]\nText:\n```\nwhile Alex clenched his jaw, the buzz of frustration dull against the backdrop of Taylor's authoritarian certainty. It was this competitive undercurrent that kept him alert, the sense that his and Jordan's shared commitment to discovery was an unspoken rebellion against Cruz's narrowing vision of control and order.\n\nThen Taylor did something unexpected. They paused beside Jordan and, for a moment, observed the device with something akin to reverence. \"If this tech can be understood...\" Taylor said, their voice quieter, \"It could change the game for us. For all of us.\"\n\nThe underlying dismissal earlier seemed to falter, replaced by a glimpse of reluctant respect for the gravity of what lay in their hands. Jordan looked up, and for a fleeting heartbeat, their eyes locked with Taylor's, a wordless clash of wills softening into an uneasy truce.\n\nIt was a small transformation, barely perceptible, but one that Alex noted with an inward nod. They had all been brought here by different paths\n```\n\nOutput:\n(\"entity\"<|>\"Alex\"<|>\"person\"<|>\"Alex is a character who experiences frustration and is observant of the dynamics among other characters.\")##\n(\"entity\"<|>\"Taylor\"<|>\"person\"<|>\"Taylor is portrayed with authoritarian certainty and shows a moment of reverence towards a device, indicating a change in perspective.\")##\n(\"entity\"<|>\"Jordan\"<|>\"person\"<|>\"Jordan shares a commitment to discovery and has a significant interaction with Taylor regarding a device.\")##\n(\"entity\"<|>\"Cruz\"<|>\"person\"<|>\"Cruz is associated with a vision of control and order, influencing the dynamics among other characters.\")##\n(\"entity\"<|>\"The Device\"<|>\"technology\"<|>\"The Device is central to the story, with potential game-changing implications, and is revered by Taylor.\")##\n(\"relationship\"<|>\"Alex\"<|>\"Taylor\"<|>\"Alex is affected by Taylor's authoritarian certainty and observes changes in Taylor's attitude towards the device.\"<|>\"power dynamics, perspective shift\"<|>7)##\n(\"relationship\"<|>\"Alex\"<|>\"Jordan\"<|>\"Alex and Jordan share a commitment to discovery, which contrasts with Cruz's vision.\"<|>\"shared goals, rebellion\"<|>6)##\n(\"relationship\"<|>\"Taylor\"<|>\"Jordan\"<|>\"Taylor and Jordan interact directly regarding the device, leading to a moment of mutual respect and an uneasy truce.\"<|>\"conflict resolution, mutual respect\"<|>8)##\n(\"relationship\"<|>\"Jordan\"<|>\"Cruz\"<|>\"Jordan's commitment to discovery is in rebellion against Cruz's vision of control and order.\"<|>\"ideological conflict, rebellion\"<|>5)##\n(\"relationship\"<|>\"Taylor\"<|>\"The Device\"<|>\"Taylor shows reverence towards the device, indicating its importance and potential impact.\"<|>\"reverence, technological significance\"<|>9)##\n(\"content_keywords\"<|>\"power dynamics, ideological conflict, discovery, rebellion\")<|COMPLETE|>\n#############################\nExample 2:\n\nEntity_types: [company, index, commodity, market_trend, economic_policy, biological]\nText:\n```\nStock markets faced a sharp downturn today as tech giants saw significant declines, with the Global Tech Index dropping by 3.4% in midday trading. Analysts attribute the selloff to investor concerns over rising interest rates and regulatory uncertainty.\n\nAmong the hardest hit, Nexon Technologies saw its stock plummet by 7.8% after reporting lower-than-expected quarterly earnings. In contrast, Omega Energy posted a modest 2.1% gain, driven by rising oil prices.\n\nMeanwhile, commodity markets reflected a mixed sentiment. Gold futures rose by 1.5%, reaching $2,080 per ounce, as investors sought safe-haven assets. Crude oil prices continued their rally, climbing to $87.60 per barrel, supported by supply constraints and strong demand.\n\nFinancial experts are closely watching the Federal Reserve's next move, as speculation grows over potential rate hikes. The upcoming policy announcement is expected to influence investor confidence and overall market stability.\n```\n\nOutput:\n(\"entity\"<|>\"Global Tech Index\"<|>\"index\"<|>\"The Global Tech Index tracks the performance of major technology stocks and experienced a 3.4% decline today.\")##\n(\"entity\"<|>\"Nexon Technologies\"<|>\"company\"<|>\"Nexon Technologies is a tech company that saw its stock decline by 7.8% after disappointing earnings.\")##\n(\"entity\"<|>\"Omega Energy\"<|>\"company\"<|>\"Omega Energy is an energy company that gained 2.1% in stock value due to rising oil prices.\")##\n(\"entity\"<|>\"Gold Futures\"<|>\"commodity\"<|>\"Gold futures rose by 1.5%, indicating increased investor interest in safe-haven assets.\")##\n(\"entity\"<|>\"Crude Oil\"<|>\"commodity\"<|>\"Crude oil prices rose to $87.60 per barrel due to supply constraints and strong demand.\")##\n(\"entity\"<|>\"Market Selloff\"<|>\"market_trend\"<|>\"Market selloff refers to the significant decline in stock values due to investor concerns over interest rates and regulations.\")##\n(\"entity\"<|>\"Federal Reserve Policy Announcement\"<|>\"economic_policy\"<|>\"The Federal Reserve's upcoming policy announcement is expected to impact investor confidence and market stability.\")##\n(\"relationship\"<|>\"Global Tech Index\"<|>\"Market Selloff\"<|>\"The decline in the Global Tech Index is part of the broader market selloff driven by investor concerns.\"<|>\"market performance, investor sentiment\"<|>9)##\n(\"relationship\"<|>\"Nexon Technologies\"<|>\"Global Tech Index\"<|>\"Nexon Technologies' stock decline contributed to the overall drop in the Global Tech Index.\"<|>\"company impact, index movement\"<|>8)##\n(\"relationship\"<|>\"Gold Futures\"<|>\"Market Selloff\"<|>\"Gold prices rose as investors sought safe-haven assets during the market selloff.\"<|>\"market reaction, safe-haven investment\"<|>10)##\n(\"relationship\"<|>\"Federal Reserve Policy Announcement\"<|>\"Market Selloff\"<|>\"Speculation over Federal Reserve policy changes contributed to market volatility and investor selloff.\"<|>\"interest rate impact, financial regulation\"<|>7)##\n(\"content_keywords\"<|>\"market downturn, investor sentiment, commodities, Federal Reserve, stock performance\")<|COMPLETE|>\n#############################\nExample 3:\n\nEntity_types: [economic_policy, athlete, event, location, record, organization, equipment]\nText:\n```\nAt the World Athletics Championship in Tokyo, Noah Carter broke the 100m sprint record using cutting-edge carbon-fiber spikes.\n```\n\nOutput:\n(\"entity\"<|>\"World Athletics Championship\"<|>\"event\"<|>\"The World Athletics Championship is a global sports competition featuring top athletes in track and field.\")##\n(\"entity\"<|>\"Tokyo\"<|>\"location\"<|>\"Tokyo is the host city of the World Athletics Championship.\")##\n(\"entity\"<|>\"Noah Carter\"<|>\"athlete\"<|>\"Noah Carter is a sprinter who set a new record in the 100m sprint at the World Athletics Championship.\")##\n(\"entity\"<|>\"100m Sprint Record\"<|>\"record\"<|>\"The 100m sprint record is a benchmark in athletics, recently broken by Noah Carter.\")##\n(\"entity\"<|>\"Carbon-Fiber Spikes\"<|>\"equipment\"<|>\"Carbon-fiber spikes are advanced sprinting shoes that provide enhanced speed and traction.\")##\n(\"entity\"<|>\"World Athletics Federation\"<|>\"organization\"<|>\"The World Athletics Federation is the governing body overseeing the World Athletics Championship and record validations.\")##\n(\"relationship\"<|>\"World Athletics Championship\"<|>\"Tokyo\"<|>\"The World Athletics Championship is being hosted in Tokyo.\"<|>\"event location, international competition\"<|>8)##\n(\"relationship\"<|>\"Noah Carter\"<|>\"100m Sprint Record\"<|>\"Noah Carter set a new 100m sprint record at the championship.\"<|>\"athlete achievement, record-breaking\"<|>10)##\n(\"relationship\"<|>\"Noah Carter\"<|>\"Carbon-Fiber Spikes\"<|>\"Noah Carter used carbon-fiber spikes to enhance performance during the race.\"<|>\"athletic equipment, performance boost\"<|>7)##\n(\"relationship\"<|>\"World Athletics Federation\"<|>\"100m Sprint Record\"<|>\"The World Athletics Federation is responsible for validating and recognizing new sprint records.\"<|>\"sports regulation, record certification\"<|>9)##\n(\"content_keywords\"<|>\"athletics, sprinting, record-breaking, sports technology, competition\")<|COMPLETE|>\n#############################\n\n#############################\n---Real Data---\n######################\nEntity_types: [organization,person,geo,event,category]\nText:\n三角形三边关系的证明\n证明方法如下：\n作下图所示的三角形ABC。在三角形ABC中，[三角不等式](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E4%B8%89%E8%A7%92%E4%B8%8D%E7%AD%89%E5%BC%8F&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLkuInop5LkuI3nrYnlvI8iLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.rH6r8SvGmu-I9piEsmZfg2HjbXzUduYclZ2jfA3jZRs&zhida_source=entity)可以表示为|AB|+|BC|＞|AC|。\n![](./Images/778094016d3642f2bc43eeaf1074cc38/media/image1.png)\nheight=\"1.91044072615923in\"}\n①延长直线AB至点D，并使|BD|=|BC|，连接|DC|，那么三角形BCD为等腰三角形。所以∠BDC=∠BCD。\n②记它们均为α，根据[欧几里得第五公理](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97%E7%AC%AC%E4%BA%94%E5%85%AC%E7%90%86&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLmrKflh6Dph4zlvpfnrKzkupTlhaznkIYiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.ltcWsMYJv-ZzcuBaSjYN69JC8hnIyPMFsfhIlum4yqc&zhida_source=entity)，∠ACD大于角∠ADC(α)。\n③由于∠ACD的对边为AD，∠ADC(α)的对边为AC，所以根据大角对大边([几何原本](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E5%87%A0%E4%BD%95%E5%8E%9F%E6%9C%AC&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLlh6DkvZXljp_mnKwiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.Q1rCY0S2bj5Dwp3Fg7xb_VSFESz2_pCUETDybnHANvo&zhida_source=entity)中的命题19)就可以得到|AB|+|BC|=|AB|+|BD|=|AD|＞|AC|。\n######################\nOutput:" + }, + "697a4f1e584118423625a8d7a453f7f9": { + "return": "(\"entity\"<|>\"三角形ABC\"<|>\"category\"<|>\"三角形ABC是用于证明三角不等式定理的几何图形。\")##\n(\"entity\"<|>\"三角不等式\"<|>\"category\"<|>\"三角不等式定理指出，三角形任意两边长度之和大于第三边的长度。\")##\n(\"entity\"<|>\"欧几里得第五公理\"<|>\"category\"<|>\"欧几里得第五公理是几何学中的基本原理，用于证明三角不等式。\")##\n(\"entity\"<|>\"命题19\"<|>\"category\"<|>\"欧几里得《几何原本》中的命题19指出，在任何三角形中，较大的角对应较长的边。\")##\n(\"entity\"<|>\"点D\"<|>\"category\"<|>\"点D是通过延长直线AB并确保|BD|=|BC|而构造的点，用于辅助证明三角不等式。\")##\n(\"entity\"<|>\"直线DC\"<|>\"category\"<|>\"直线DC是连接点D和点C的线段，用于构造等腰三角形BCD。\")##\n(\"entity\"<|>\"等腰三角形BCD\"<|>\"category\"<|>\"等腰三角形BCD是通过构造点D和连接DC形成的，其中|BD|=|BC|，且∠BDC=∠BCD。\")##\n(\"entity\"<|>\"角∠ADC\"<|>\"category\"<|>\"角∠ADC是三角形ADC中的一个角，其大小与角∠BDC（α）相同。\")##\n(\"entity\"<|>\"角∠ACD\"<|>\"category\"<|>\"角∠ACD是三角形ADC中的一个角，根据欧几里得第五公理，它大于角∠ADC。\")##\n(\"relationship\"<|>\"三角形ABC\"<|>\"三角不等式\"<|>\"三角形ABC用于证明三角不等式定理。\"<|>\"几何证明,数学定理\"<|>8)##\n(\"relationship\"<|>\"三角不等式\"<|>\"欧几里得第五公理\"<|>\"三角不等式的证明依赖于欧几里得第五公理。\"<|>\"数学基础,几何原理\"<|>7)##\n(\"relationship\"<|>\"欧几里得第五公理\"<|>\"命题19\"<|>\"欧几里得第五公理与命题19共同用于证明三角不等式。\"<|>\"逻辑推理,几何定理\"<|>9)##\n(\"relationship\"<|>\"三角形ABC\"<|>\"点D\"<|>\"点D是通过延长三角形ABC的边AB构造的，用于辅助证明。\"<|>\"几何构造,辅助点\"<|>6)##\n(\"relationship\"<|>\"点D\"<|>\"等腰三角形BCD\"<|>\"点D与点B和点C连接形成等腰三角形BCD。\"<|>\"几何构造,等腰三角形\"<|>7)##\n(\"relationship\"<|>\"等腰三角形BCD\"<|>\"角∠BDC\"<|>\"等腰三角形BCD中，角∠BDC等于角∠BCD。\"<|>\"几何性质,角度关系\"<|>8)##\n(\"relationship\"<|>\"角∠ADC\"<|>\"角∠ACD\"<|>\"根据欧几里得第五公理，角∠ACD大于角∠ADC。\"<|>\"角度比较,几何公理\"<|>7)##\n(\"relationship\"<|>\"角∠ACD\"<|>\"三角不等式\"<|>\"角∠ACD与角∠ADC的比较用于推导三角不等式。\"<|>\"几何推理,不等式证明\"<|>8)##\n(\"content_keywords\"<|>\"几何学,三角不等式,欧几里得几何,数学证明,三角形性质\")<|COMPLETE|>", + "cache_type": "extract", + "chunk_id": "chunk-8fa97201fba58acd19b922cb8b994666", + "embedding": null, + "embedding_shape": null, + "embedding_min": null, + "embedding_max": null, + "original_prompt": "[{\"role\": \"user\", \"content\": \"---Goal---\\nGiven a text document that is potentially relevant to this activity and a list of entity types, identify all entities of those types from the text and all relationships among the identified entities.\\nUse English as output language.\\n\\n---Steps---\\n1. Identify all entities. For each identified entity, extract the following information:\\n- entity_name: Name of the entity, use same language as input text. If English, capitalized the name.\\n- entity_type: One of the following types: [organization,person,geo,event,category]\\n- entity_description: Comprehensive description of the entity's attributes and activities\\nFormat each entity as (\\\"entity\\\"<|><|><|>)\\n\\n2. From the entities identified in step 1, identify all pairs of (source_entity, target_entity) that are *clearly related* to each other.\\nFor each pair of related entities, extract the following information:\\n- source_entity: name of the source entity, as identified in step 1\\n- target_entity: name of the target entity, as identified in step 1\\n- relationship_description: explanation as to why you think the source entity and the target entity are related to each other\\n- relationship_strength: a numeric score indicating strength of the relationship between the source entity and target entity\\n- relationship_keywords: one or more high-level key words that summarize the overarching nature of the relationship, focusing on concepts or themes rather than specific details\\nFormat each relationship as (\\\"relationship\\\"<|><|><|><|><|>)\\n\\n3. Identify high-level key words that summarize the main concepts, themes, or topics of the entire text. These should capture the overarching ideas present in the document.\\nFormat the content-level key words as (\\\"content_keywords\\\"<|>)\\n\\n4. Return output in English as a single list of all the entities and relationships identified in steps 1 and 2. Use **##** as the list delimiter.\\n\\n5. When finished, output <|COMPLETE|>\\n\\n######################\\n---Examples---\\n######################\\nExample 1:\\n\\nEntity_types: [person, technology, mission, organization, location]\\nText:\\n```\\nwhile Alex clenched his jaw, the buzz of frustration dull against the backdrop of Taylor's authoritarian certainty. It was this competitive undercurrent that kept him alert, the sense that his and Jordan's shared commitment to discovery was an unspoken rebellion against Cruz's narrowing vision of control and order.\\n\\nThen Taylor did something unexpected. They paused beside Jordan and, for a moment, observed the device with something akin to reverence. \\\"If this tech can be understood...\\\" Taylor said, their voice quieter, \\\"It could change the game for us. For all of us.\\\"\\n\\nThe underlying dismissal earlier seemed to falter, replaced by a glimpse of reluctant respect for the gravity of what lay in their hands. Jordan looked up, and for a fleeting heartbeat, their eyes locked with Taylor's, a wordless clash of wills softening into an uneasy truce.\\n\\nIt was a small transformation, barely perceptible, but one that Alex noted with an inward nod. They had all been brought here by different paths\\n```\\n\\nOutput:\\n(\\\"entity\\\"<|>\\\"Alex\\\"<|>\\\"person\\\"<|>\\\"Alex is a character who experiences frustration and is observant of the dynamics among other characters.\\\")##\\n(\\\"entity\\\"<|>\\\"Taylor\\\"<|>\\\"person\\\"<|>\\\"Taylor is portrayed with authoritarian certainty and shows a moment of reverence towards a device, indicating a change in perspective.\\\")##\\n(\\\"entity\\\"<|>\\\"Jordan\\\"<|>\\\"person\\\"<|>\\\"Jordan shares a commitment to discovery and has a significant interaction with Taylor regarding a device.\\\")##\\n(\\\"entity\\\"<|>\\\"Cruz\\\"<|>\\\"person\\\"<|>\\\"Cruz is associated with a vision of control and order, influencing the dynamics among other characters.\\\")##\\n(\\\"entity\\\"<|>\\\"The Device\\\"<|>\\\"technology\\\"<|>\\\"The Device is central to the story, with potential game-changing implications, and is revered by Taylor.\\\")##\\n(\\\"relationship\\\"<|>\\\"Alex\\\"<|>\\\"Taylor\\\"<|>\\\"Alex is affected by Taylor's authoritarian certainty and observes changes in Taylor's attitude towards the device.\\\"<|>\\\"power dynamics, perspective shift\\\"<|>7)##\\n(\\\"relationship\\\"<|>\\\"Alex\\\"<|>\\\"Jordan\\\"<|>\\\"Alex and Jordan share a commitment to discovery, which contrasts with Cruz's vision.\\\"<|>\\\"shared goals, rebellion\\\"<|>6)##\\n(\\\"relationship\\\"<|>\\\"Taylor\\\"<|>\\\"Jordan\\\"<|>\\\"Taylor and Jordan interact directly regarding the device, leading to a moment of mutual respect and an uneasy truce.\\\"<|>\\\"conflict resolution, mutual respect\\\"<|>8)##\\n(\\\"relationship\\\"<|>\\\"Jordan\\\"<|>\\\"Cruz\\\"<|>\\\"Jordan's commitment to discovery is in rebellion against Cruz's vision of control and order.\\\"<|>\\\"ideological conflict, rebellion\\\"<|>5)##\\n(\\\"relationship\\\"<|>\\\"Taylor\\\"<|>\\\"The Device\\\"<|>\\\"Taylor shows reverence towards the device, indicating its importance and potential impact.\\\"<|>\\\"reverence, technological significance\\\"<|>9)##\\n(\\\"content_keywords\\\"<|>\\\"power dynamics, ideological conflict, discovery, rebellion\\\")<|COMPLETE|>\\n#############################\\nExample 2:\\n\\nEntity_types: [company, index, commodity, market_trend, economic_policy, biological]\\nText:\\n```\\nStock markets faced a sharp downturn today as tech giants saw significant declines, with the Global Tech Index dropping by 3.4% in midday trading. Analysts attribute the selloff to investor concerns over rising interest rates and regulatory uncertainty.\\n\\nAmong the hardest hit, Nexon Technologies saw its stock plummet by 7.8% after reporting lower-than-expected quarterly earnings. In contrast, Omega Energy posted a modest 2.1% gain, driven by rising oil prices.\\n\\nMeanwhile, commodity markets reflected a mixed sentiment. Gold futures rose by 1.5%, reaching $2,080 per ounce, as investors sought safe-haven assets. Crude oil prices continued their rally, climbing to $87.60 per barrel, supported by supply constraints and strong demand.\\n\\nFinancial experts are closely watching the Federal Reserve's next move, as speculation grows over potential rate hikes. The upcoming policy announcement is expected to influence investor confidence and overall market stability.\\n```\\n\\nOutput:\\n(\\\"entity\\\"<|>\\\"Global Tech Index\\\"<|>\\\"index\\\"<|>\\\"The Global Tech Index tracks the performance of major technology stocks and experienced a 3.4% decline today.\\\")##\\n(\\\"entity\\\"<|>\\\"Nexon Technologies\\\"<|>\\\"company\\\"<|>\\\"Nexon Technologies is a tech company that saw its stock decline by 7.8% after disappointing earnings.\\\")##\\n(\\\"entity\\\"<|>\\\"Omega Energy\\\"<|>\\\"company\\\"<|>\\\"Omega Energy is an energy company that gained 2.1% in stock value due to rising oil prices.\\\")##\\n(\\\"entity\\\"<|>\\\"Gold Futures\\\"<|>\\\"commodity\\\"<|>\\\"Gold futures rose by 1.5%, indicating increased investor interest in safe-haven assets.\\\")##\\n(\\\"entity\\\"<|>\\\"Crude Oil\\\"<|>\\\"commodity\\\"<|>\\\"Crude oil prices rose to $87.60 per barrel due to supply constraints and strong demand.\\\")##\\n(\\\"entity\\\"<|>\\\"Market Selloff\\\"<|>\\\"market_trend\\\"<|>\\\"Market selloff refers to the significant decline in stock values due to investor concerns over interest rates and regulations.\\\")##\\n(\\\"entity\\\"<|>\\\"Federal Reserve Policy Announcement\\\"<|>\\\"economic_policy\\\"<|>\\\"The Federal Reserve's upcoming policy announcement is expected to impact investor confidence and market stability.\\\")##\\n(\\\"relationship\\\"<|>\\\"Global Tech Index\\\"<|>\\\"Market Selloff\\\"<|>\\\"The decline in the Global Tech Index is part of the broader market selloff driven by investor concerns.\\\"<|>\\\"market performance, investor sentiment\\\"<|>9)##\\n(\\\"relationship\\\"<|>\\\"Nexon Technologies\\\"<|>\\\"Global Tech Index\\\"<|>\\\"Nexon Technologies' stock decline contributed to the overall drop in the Global Tech Index.\\\"<|>\\\"company impact, index movement\\\"<|>8)##\\n(\\\"relationship\\\"<|>\\\"Gold Futures\\\"<|>\\\"Market Selloff\\\"<|>\\\"Gold prices rose as investors sought safe-haven assets during the market selloff.\\\"<|>\\\"market reaction, safe-haven investment\\\"<|>10)##\\n(\\\"relationship\\\"<|>\\\"Federal Reserve Policy Announcement\\\"<|>\\\"Market Selloff\\\"<|>\\\"Speculation over Federal Reserve policy changes contributed to market volatility and investor selloff.\\\"<|>\\\"interest rate impact, financial regulation\\\"<|>7)##\\n(\\\"content_keywords\\\"<|>\\\"market downturn, investor sentiment, commodities, Federal Reserve, stock performance\\\")<|COMPLETE|>\\n#############################\\nExample 3:\\n\\nEntity_types: [economic_policy, athlete, event, location, record, organization, equipment]\\nText:\\n```\\nAt the World Athletics Championship in Tokyo, Noah Carter broke the 100m sprint record using cutting-edge carbon-fiber spikes.\\n```\\n\\nOutput:\\n(\\\"entity\\\"<|>\\\"World Athletics Championship\\\"<|>\\\"event\\\"<|>\\\"The World Athletics Championship is a global sports competition featuring top athletes in track and field.\\\")##\\n(\\\"entity\\\"<|>\\\"Tokyo\\\"<|>\\\"location\\\"<|>\\\"Tokyo is the host city of the World Athletics Championship.\\\")##\\n(\\\"entity\\\"<|>\\\"Noah Carter\\\"<|>\\\"athlete\\\"<|>\\\"Noah Carter is a sprinter who set a new record in the 100m sprint at the World Athletics Championship.\\\")##\\n(\\\"entity\\\"<|>\\\"100m Sprint Record\\\"<|>\\\"record\\\"<|>\\\"The 100m sprint record is a benchmark in athletics, recently broken by Noah Carter.\\\")##\\n(\\\"entity\\\"<|>\\\"Carbon-Fiber Spikes\\\"<|>\\\"equipment\\\"<|>\\\"Carbon-fiber spikes are advanced sprinting shoes that provide enhanced speed and traction.\\\")##\\n(\\\"entity\\\"<|>\\\"World Athletics Federation\\\"<|>\\\"organization\\\"<|>\\\"The World Athletics Federation is the governing body overseeing the World Athletics Championship and record validations.\\\")##\\n(\\\"relationship\\\"<|>\\\"World Athletics Championship\\\"<|>\\\"Tokyo\\\"<|>\\\"The World Athletics Championship is being hosted in Tokyo.\\\"<|>\\\"event location, international competition\\\"<|>8)##\\n(\\\"relationship\\\"<|>\\\"Noah Carter\\\"<|>\\\"100m Sprint Record\\\"<|>\\\"Noah Carter set a new 100m sprint record at the championship.\\\"<|>\\\"athlete achievement, record-breaking\\\"<|>10)##\\n(\\\"relationship\\\"<|>\\\"Noah Carter\\\"<|>\\\"Carbon-Fiber Spikes\\\"<|>\\\"Noah Carter used carbon-fiber spikes to enhance performance during the race.\\\"<|>\\\"athletic equipment, performance boost\\\"<|>7)##\\n(\\\"relationship\\\"<|>\\\"World Athletics Federation\\\"<|>\\\"100m Sprint Record\\\"<|>\\\"The World Athletics Federation is responsible for validating and recognizing new sprint records.\\\"<|>\\\"sports regulation, record certification\\\"<|>9)##\\n(\\\"content_keywords\\\"<|>\\\"athletics, sprinting, record-breaking, sports technology, competition\\\")<|COMPLETE|>\\n#############################\\n\\n#############################\\n---Real Data---\\n######################\\nEntity_types: [organization,person,geo,event,category]\\nText:\\n三角形三边关系的证明\\n证明方法如下：\\n作下图所示的三角形ABC。在三角形ABC中，[三角不等式](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E4%B8%89%E8%A7%92%E4%B8%8D%E7%AD%89%E5%BC%8F&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLkuInop5LkuI3nrYnlvI8iLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.rH6r8SvGmu-I9piEsmZfg2HjbXzUduYclZ2jfA3jZRs&zhida_source=entity)可以表示为|AB|+|BC|＞|AC|。\\n![](./Images/778094016d3642f2bc43eeaf1074cc38/media/image1.png)\\nheight=\\\"1.91044072615923in\\\"}\\n①延长直线AB至点D，并使|BD|=|BC|，连接|DC|，那么三角形BCD为等腰三角形。所以∠BDC=∠BCD。\\n②记它们均为α，根据[欧几里得第五公理](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97%E7%AC%AC%E4%BA%94%E5%85%AC%E7%90%86&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLmrKflh6Dph4zlvpfnrKzkupTlhaznkIYiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.ltcWsMYJv-ZzcuBaSjYN69JC8hnIyPMFsfhIlum4yqc&zhida_source=entity)，∠ACD大于角∠ADC(α)。\\n③由于∠ACD的对边为AD，∠ADC(α)的对边为AC，所以根据大角对大边([几何原本](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E5%87%A0%E4%BD%95%E5%8E%9F%E6%9C%AC&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLlh6DkvZXljp_mnKwiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.Q1rCY0S2bj5Dwp3Fg7xb_VSFESz2_pCUETDybnHANvo&zhida_source=entity)中的命题19)就可以得到|AB|+|BC|=|AB|+|BD|=|AD|＞|AC|。\\n######################\\nOutput:\"}, {\"role\": \"assistant\", \"content\": \"(\\\"entity\\\"<|>\\\"Triangle ABC\\\"<|>\\\"category\\\"<|>\\\"Triangle ABC is the geometric figure used to demonstrate the triangle inequality theorem.\\\")##\\n(\\\"entity\\\"<|>\\\"Triangle Inequality\\\"<|>\\\"category\\\"<|>\\\"The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.\\\")##\\n(\\\"entity\\\"<|>\\\"Euclid's Fifth Postulate\\\"<|>\\\"category\\\"<|>\\\"Euclid's Fifth Postulate is a foundational principle in geometry used in the proof of the triangle inequality.\\\")##\\n(\\\"entity\\\"<|>\\\"Proposition 19\\\"<|>\\\"category\\\"<|>\\\"Proposition 19 from Euclid's Elements states that in any triangle, the greater angle is subtended by the greater side.\\\")##\\n(\\\"relationship\\\"<|>\\\"Triangle ABC\\\"<|>\\\"Triangle Inequality\\\"<|>\\\"Triangle ABC is used to demonstrate the triangle inequality theorem.\\\"<|>\\\"geometric proof, mathematical theorem\\\"<|>8)##\\n(\\\"relationship\\\"<|>\\\"Triangle Inequality\\\"<|>\\\"Euclid's Fifth Postulate\\\"<|>\\\"The proof of the triangle inequality relies on Euclid's Fifth Postulate.\\\"<|>\\\"mathematical foundation, geometric principles\\\"<|>7)##\\n(\\\"relationship\\\"<|>\\\"Euclid's Fifth Postulate\\\"<|>\\\"Proposition 19\\\"<|>\\\"Euclid's Fifth Postulate is used alongside Proposition 19 to prove the triangle inequality.\\\"<|>\\\"logical reasoning, geometric theorems\\\"<|>9)##\\n(\\\"content_keywords\\\"<|>\\\"geometry, triangle inequality, Euclid's Elements, mathematical proof\\\")<|COMPLETE|>\"}]\nMANY entities and relationships were missed in the last extraction.\n\n---Remember Steps---\n\n1. Identify all entities. For each identified entity, extract the following information:\n- entity_name: Name of the entity, use same language as input text. If English, capitalized the name.\n- entity_type: One of the following types: [organization,person,geo,event,category]\n- entity_description: Comprehensive description of the entity's attributes and activities\nFormat each entity as (\"entity\"<|><|><|>)\n\n2. From the entities identified in step 1, identify all pairs of (source_entity, target_entity) that are *clearly related* to each other.\nFor each pair of related entities, extract the following information:\n- source_entity: name of the source entity, as identified in step 1\n- target_entity: name of the target entity, as identified in step 1\n- relationship_description: explanation as to why you think the source entity and the target entity are related to each other\n- relationship_strength: a numeric score indicating strength of the relationship between the source entity and target entity\n- relationship_keywords: one or more high-level key words that summarize the overarching nature of the relationship, focusing on concepts or themes rather than specific details\nFormat each relationship as (\"relationship\"<|><|><|><|><|>)\n\n3. Identify high-level key words that summarize the main concepts, themes, or topics of the entire text. These should capture the overarching ideas present in the document.\nFormat the content-level key words as (\"content_keywords\"<|>)\n\n4. Return output in English as a single list of all the entities and relationships identified in steps 1 and 2. Use **##** as the list delimiter.\n\n5. When finished, output <|COMPLETE|>\n\n---Output---\n\nAdd them below using the same format:" + }, + "3ce25fba5b6c40ae4eeac6c7e7952892": { + "return": "(\"entity\"<|>\"Triangle ABC\"<|>\"category\"<|>\"Triangle ABC is the primary geometric figure used in the proof of the triangle inequality and angle relationships.\")##\n(\"entity\"<|>\"Point D\"<|>\"category\"<|>\"Point D is constructed by extending line AB and adding segment BD equal to BC, forming an isosceles triangle.\")##\n(\"entity\"<|>\"Point P\"<|>\"category\"<|>\"Point P is an arbitrary interior point of triangle ABC, used to demonstrate angle relationships.\")##\n(\"entity\"<|>\"Euclid's Fifth Postulate\"<|>\"category\"<|>\"Euclid's Fifth Postulate is referenced to justify angle comparisons in the geometric proof.\")##\n(\"entity\"<|>\"Proposition 19 of the Elements\"<|>\"category\"<|>\"Proposition 19 from Euclid's Elements is cited to establish the relationship between angles and opposite sides in the proof.\")##\n(\"relationship\"<|>\"Triangle ABC\"<|>\"Point D\"<|>\"Point D is constructed from triangle ABC by extending AB and adding segment BD equal to BC.\"<|>\"geometric construction, triangle extension\"<|>8)##\n(\"relationship\"<|>\"Point D\"<|>\"Euclid's Fifth Postulate\"<|>\"Euclid's Fifth Postulate is used to compare angles in triangle ACD, which includes point D.\"<|>\"geometric proof, angle comparison\"<|>7)##\n(\"relationship\"<|>\"Proposition 19 of the Elements\"<|>\"Triangle ABC\"<|>\"Proposition 19 is applied to triangle ABC to justify the relationship between angles and sides.\"<|>\"geometric theorem, angle-side relationship\"<|>9)##\n(\"relationship\"<|>\"Point P\"<|>\"Triangle ABC\"<|>\"Point P is an interior point of triangle ABC, used to demonstrate angle relationships within the triangle.\"<|>\"interior point, angle proof\"<|>8)##\n(\"content_keywords\"<|>\"geometry, triangle inequality, Euclid's Elements, angle relationships, geometric proof\")<|COMPLETE|>", + "cache_type": "extract", + "chunk_id": "chunk-75b23a7e22383153b011bd3d121184f0", + "embedding": null, + "embedding_shape": null, + "embedding_min": null, + "embedding_max": null, + "original_prompt": "---Goal---\nGiven a text document that is potentially relevant to this activity and a list of entity types, identify all entities of those types from the text and all relationships among the identified entities.\nUse English as output language.\n\n---Steps---\n1. Identify all entities. For each identified entity, extract the following information:\n- entity_name: Name of the entity, use same language as input text. If English, capitalized the name.\n- entity_type: One of the following types: [organization,person,geo,event,category]\n- entity_description: Comprehensive description of the entity's attributes and activities\nFormat each entity as (\"entity\"<|><|><|>)\n\n2. From the entities identified in step 1, identify all pairs of (source_entity, target_entity) that are *clearly related* to each other.\nFor each pair of related entities, extract the following information:\n- source_entity: name of the source entity, as identified in step 1\n- target_entity: name of the target entity, as identified in step 1\n- relationship_description: explanation as to why you think the source entity and the target entity are related to each other\n- relationship_strength: a numeric score indicating strength of the relationship between the source entity and target entity\n- relationship_keywords: one or more high-level key words that summarize the overarching nature of the relationship, focusing on concepts or themes rather than specific details\nFormat each relationship as (\"relationship\"<|><|><|><|><|>)\n\n3. Identify high-level key words that summarize the main concepts, themes, or topics of the entire text. These should capture the overarching ideas present in the document.\nFormat the content-level key words as (\"content_keywords\"<|>)\n\n4. Return output in English as a single list of all the entities and relationships identified in steps 1 and 2. Use **##** as the list delimiter.\n\n5. When finished, output <|COMPLETE|>\n\n######################\n---Examples---\n######################\nExample 1:\n\nEntity_types: [person, technology, mission, organization, location]\nText:\n```\nwhile Alex clenched his jaw, the buzz of frustration dull against the backdrop of Taylor's authoritarian certainty. It was this competitive undercurrent that kept him alert, the sense that his and Jordan's shared commitment to discovery was an unspoken rebellion against Cruz's narrowing vision of control and order.\n\nThen Taylor did something unexpected. They paused beside Jordan and, for a moment, observed the device with something akin to reverence. \"If this tech can be understood...\" Taylor said, their voice quieter, \"It could change the game for us. For all of us.\"\n\nThe underlying dismissal earlier seemed to falter, replaced by a glimpse of reluctant respect for the gravity of what lay in their hands. Jordan looked up, and for a fleeting heartbeat, their eyes locked with Taylor's, a wordless clash of wills softening into an uneasy truce.\n\nIt was a small transformation, barely perceptible, but one that Alex noted with an inward nod. They had all been brought here by different paths\n```\n\nOutput:\n(\"entity\"<|>\"Alex\"<|>\"person\"<|>\"Alex is a character who experiences frustration and is observant of the dynamics among other characters.\")##\n(\"entity\"<|>\"Taylor\"<|>\"person\"<|>\"Taylor is portrayed with authoritarian certainty and shows a moment of reverence towards a device, indicating a change in perspective.\")##\n(\"entity\"<|>\"Jordan\"<|>\"person\"<|>\"Jordan shares a commitment to discovery and has a significant interaction with Taylor regarding a device.\")##\n(\"entity\"<|>\"Cruz\"<|>\"person\"<|>\"Cruz is associated with a vision of control and order, influencing the dynamics among other characters.\")##\n(\"entity\"<|>\"The Device\"<|>\"technology\"<|>\"The Device is central to the story, with potential game-changing implications, and is revered by Taylor.\")##\n(\"relationship\"<|>\"Alex\"<|>\"Taylor\"<|>\"Alex is affected by Taylor's authoritarian certainty and observes changes in Taylor's attitude towards the device.\"<|>\"power dynamics, perspective shift\"<|>7)##\n(\"relationship\"<|>\"Alex\"<|>\"Jordan\"<|>\"Alex and Jordan share a commitment to discovery, which contrasts with Cruz's vision.\"<|>\"shared goals, rebellion\"<|>6)##\n(\"relationship\"<|>\"Taylor\"<|>\"Jordan\"<|>\"Taylor and Jordan interact directly regarding the device, leading to a moment of mutual respect and an uneasy truce.\"<|>\"conflict resolution, mutual respect\"<|>8)##\n(\"relationship\"<|>\"Jordan\"<|>\"Cruz\"<|>\"Jordan's commitment to discovery is in rebellion against Cruz's vision of control and order.\"<|>\"ideological conflict, rebellion\"<|>5)##\n(\"relationship\"<|>\"Taylor\"<|>\"The Device\"<|>\"Taylor shows reverence towards the device, indicating its importance and potential impact.\"<|>\"reverence, technological significance\"<|>9)##\n(\"content_keywords\"<|>\"power dynamics, ideological conflict, discovery, rebellion\")<|COMPLETE|>\n#############################\nExample 2:\n\nEntity_types: [company, index, commodity, market_trend, economic_policy, biological]\nText:\n```\nStock markets faced a sharp downturn today as tech giants saw significant declines, with the Global Tech Index dropping by 3.4% in midday trading. Analysts attribute the selloff to investor concerns over rising interest rates and regulatory uncertainty.\n\nAmong the hardest hit, Nexon Technologies saw its stock plummet by 7.8% after reporting lower-than-expected quarterly earnings. In contrast, Omega Energy posted a modest 2.1% gain, driven by rising oil prices.\n\nMeanwhile, commodity markets reflected a mixed sentiment. Gold futures rose by 1.5%, reaching $2,080 per ounce, as investors sought safe-haven assets. Crude oil prices continued their rally, climbing to $87.60 per barrel, supported by supply constraints and strong demand.\n\nFinancial experts are closely watching the Federal Reserve's next move, as speculation grows over potential rate hikes. The upcoming policy announcement is expected to influence investor confidence and overall market stability.\n```\n\nOutput:\n(\"entity\"<|>\"Global Tech Index\"<|>\"index\"<|>\"The Global Tech Index tracks the performance of major technology stocks and experienced a 3.4% decline today.\")##\n(\"entity\"<|>\"Nexon Technologies\"<|>\"company\"<|>\"Nexon Technologies is a tech company that saw its stock decline by 7.8% after disappointing earnings.\")##\n(\"entity\"<|>\"Omega Energy\"<|>\"company\"<|>\"Omega Energy is an energy company that gained 2.1% in stock value due to rising oil prices.\")##\n(\"entity\"<|>\"Gold Futures\"<|>\"commodity\"<|>\"Gold futures rose by 1.5%, indicating increased investor interest in safe-haven assets.\")##\n(\"entity\"<|>\"Crude Oil\"<|>\"commodity\"<|>\"Crude oil prices rose to $87.60 per barrel due to supply constraints and strong demand.\")##\n(\"entity\"<|>\"Market Selloff\"<|>\"market_trend\"<|>\"Market selloff refers to the significant decline in stock values due to investor concerns over interest rates and regulations.\")##\n(\"entity\"<|>\"Federal Reserve Policy Announcement\"<|>\"economic_policy\"<|>\"The Federal Reserve's upcoming policy announcement is expected to impact investor confidence and market stability.\")##\n(\"relationship\"<|>\"Global Tech Index\"<|>\"Market Selloff\"<|>\"The decline in the Global Tech Index is part of the broader market selloff driven by investor concerns.\"<|>\"market performance, investor sentiment\"<|>9)##\n(\"relationship\"<|>\"Nexon Technologies\"<|>\"Global Tech Index\"<|>\"Nexon Technologies' stock decline contributed to the overall drop in the Global Tech Index.\"<|>\"company impact, index movement\"<|>8)##\n(\"relationship\"<|>\"Gold Futures\"<|>\"Market Selloff\"<|>\"Gold prices rose as investors sought safe-haven assets during the market selloff.\"<|>\"market reaction, safe-haven investment\"<|>10)##\n(\"relationship\"<|>\"Federal Reserve Policy Announcement\"<|>\"Market Selloff\"<|>\"Speculation over Federal Reserve policy changes contributed to market volatility and investor selloff.\"<|>\"interest rate impact, financial regulation\"<|>7)##\n(\"content_keywords\"<|>\"market downturn, investor sentiment, commodities, Federal Reserve, stock performance\")<|COMPLETE|>\n#############################\nExample 3:\n\nEntity_types: [economic_policy, athlete, event, location, record, organization, equipment]\nText:\n```\nAt the World Athletics Championship in Tokyo, Noah Carter broke the 100m sprint record using cutting-edge carbon-fiber spikes.\n```\n\nOutput:\n(\"entity\"<|>\"World Athletics Championship\"<|>\"event\"<|>\"The World Athletics Championship is a global sports competition featuring top athletes in track and field.\")##\n(\"entity\"<|>\"Tokyo\"<|>\"location\"<|>\"Tokyo is the host city of the World Athletics Championship.\")##\n(\"entity\"<|>\"Noah Carter\"<|>\"athlete\"<|>\"Noah Carter is a sprinter who set a new record in the 100m sprint at the World Athletics Championship.\")##\n(\"entity\"<|>\"100m Sprint Record\"<|>\"record\"<|>\"The 100m sprint record is a benchmark in athletics, recently broken by Noah Carter.\")##\n(\"entity\"<|>\"Carbon-Fiber Spikes\"<|>\"equipment\"<|>\"Carbon-fiber spikes are advanced sprinting shoes that provide enhanced speed and traction.\")##\n(\"entity\"<|>\"World Athletics Federation\"<|>\"organization\"<|>\"The World Athletics Federation is the governing body overseeing the World Athletics Championship and record validations.\")##\n(\"relationship\"<|>\"World Athletics Championship\"<|>\"Tokyo\"<|>\"The World Athletics Championship is being hosted in Tokyo.\"<|>\"event location, international competition\"<|>8)##\n(\"relationship\"<|>\"Noah Carter\"<|>\"100m Sprint Record\"<|>\"Noah Carter set a new 100m sprint record at the championship.\"<|>\"athlete achievement, record-breaking\"<|>10)##\n(\"relationship\"<|>\"Noah Carter\"<|>\"Carbon-Fiber Spikes\"<|>\"Noah Carter used carbon-fiber spikes to enhance performance during the race.\"<|>\"athletic equipment, performance boost\"<|>7)##\n(\"relationship\"<|>\"World Athletics Federation\"<|>\"100m Sprint Record\"<|>\"The World Athletics Federation is responsible for validating and recognizing new sprint records.\"<|>\"sports regulation, record certification\"<|>9)##\n(\"content_keywords\"<|>\"athletics, sprinting, record-breaking, sports technology, competition\")<|COMPLETE|>\n#############################\n\n#############################\n---Real Data---\n######################\nEntity_types: [organization,person,geo,event,category]\nText:\n三角形三边关系的证明\n证明方法如下：\n作下图所示的三角形ABC。在三角形ABC中，[三角不等式](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E4%B8%89%E8%A7%92%E4%B8%8D%E7%AD%89%E5%BC%8F&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLkuInop5LkuI3nrYnlvI8iLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.rH6r8SvGmu-I9piEsmZfg2HjbXzUduYclZ2jfA3jZRs&zhida_source=entity)可以表示为|AB|+|BC|＞|AC|。\n![](./Images/868c80b8ff2547adb2d6b6c62c9b4c41/media/image1.png)\nheight=\"1.91044072615923in\"}\n①延长直线AB至点D，并使|BD|=|BC|，连接|DC|，那么三角形BCD为等腰三角形。所以∠BDC=∠BCD。\n②记它们均为α，根据[欧几里得第五公理](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97%E7%AC%AC%E4%BA%94%E5%85%AC%E7%90%86&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLmrKflh6Dph4zlvpfnrKzkupTlhaznkIYiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.ltcWsMYJv-ZzcuBaSjYN69JC8hnIyPMFsfhIlum4yqc&zhida_source=entity)，∠ACD大于角∠ADC(α)。\n③由于∠ACD的对边为AD，∠ADC(α)的对边为AC，所以根据大角对大边([几何原本](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E5%87%A0%E4%BD%95%E5%8E%9F%E6%9C%AC&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLlh6DkvZXljp_mnKwiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.Q1rCY0S2bj5Dwp3Fg7xb_VSFESz2_pCUETDybnHANvo&zhida_source=entity)中的命题19)就可以得到|AB|+|BC|=|AB|+|BD|=|AD|＞|AC|。\n求证：在三角形ABC中，P为其内部任意一点。请证明：∠BPC > ∠A。\n证明过程：\n![](./Images/868c80b8ff2547adb2d6b6c62c9b4c41/media/image2.png)\n延长BP交AC于D\n∵∠BPC是△PCD的一个外角，∠PDC是△BAD的一个外角\n∴∠BPC=∠PCD+∠PDC，∠PDC=∠DBA+∠A\n∴∠BPC=∠PCD+∠DBA\n######################\nOutput:" + }, + "ca6503a1abdddfe07b92265e7aea4f87": { + "return": "(\"entity\"<|>\"BP\"<|>\"geo\"<|>\"BP is a geometric line segment intersecting AC at point D.\")##\n(\"entity\"<|>\"AC\"<|>\"geo\"<|>\"AC is a geometric line segment intersected by BP at point D.\")##\n(\"entity\"<|>\"D\"<|>\"geo\"<|>\"D is the intersection point of BP and AC.\")##\n(\"entity\"<|>\"∠BPC\"<|>\"category\"<|>\"∠BPC is an angle formed at point P, exterior to triangle PCD.\")##\n(\"entity\"<|>\"∠PCD\"<|>\"category\"<|>\"∠PCD is an angle within triangle PCD.\")##\n(\"entity\"<|>\"∠PDC\"<|>\"category\"<|>\"∠PDC is an angle within triangle PCD and exterior to triangle BAD.\")##\n(\"entity\"<|>\"∠DBA\"<|>\"category\"<|>\"∠DBA is an angle within triangle BAD.\")##\n(\"entity\"<|>\"∠A\"<|>\"category\"<|>\"∠A is an angle within triangle BAD.\")##\n(\"relationship\"<|>\"BP\"<|>\"AC\"<|>\"BP intersects AC at point D, forming geometric relationships.\"<|>\"intersection, geometric construction\"<|>8)##\n(\"relationship\"<|>\"∠BPC\"<|>\"∠PCD\"<|>\"∠BPC is the sum of ∠PCD and ∠PDC, showing an exterior angle relationship.\"<|>\"angle sum, exterior angle theorem\"<|>9)##\n(\"relationship\"<|>\"∠PDC\"<|>\"∠DBA\"<|>\"∠PDC is the sum of ∠DBA and ∠A, demonstrating an exterior angle relationship.\"<|>\"angle sum, exterior angle theorem\"<|>9)##\n(\"relationship\"<|>\"∠BPC\"<|>\"∠A\"<|>\"∠BPC is greater than ∠A due to the sum of angles in the geometric proof.\"<|>\"angle comparison, inequality\"<|>7)##\n(\"content_keywords\"<|>\"geometry, angles, triangles, intersection, proof\")<|COMPLETE|>", + "cache_type": "extract", + "chunk_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", + "embedding": null, + "embedding_shape": null, + "embedding_min": null, + "embedding_max": null, + "original_prompt": "---Goal---\nGiven a text document that is potentially relevant to this activity and a list of entity types, identify all entities of those types from the text and all relationships among the identified entities.\nUse English as output language.\n\n---Steps---\n1. Identify all entities. For each identified entity, extract the following information:\n- entity_name: Name of the entity, use same language as input text. If English, capitalized the name.\n- entity_type: One of the following types: [organization,person,geo,event,category]\n- entity_description: Comprehensive description of the entity's attributes and activities\nFormat each entity as (\"entity\"<|><|><|>)\n\n2. From the entities identified in step 1, identify all pairs of (source_entity, target_entity) that are *clearly related* to each other.\nFor each pair of related entities, extract the following information:\n- source_entity: name of the source entity, as identified in step 1\n- target_entity: name of the target entity, as identified in step 1\n- relationship_description: explanation as to why you think the source entity and the target entity are related to each other\n- relationship_strength: a numeric score indicating strength of the relationship between the source entity and target entity\n- relationship_keywords: one or more high-level key words that summarize the overarching nature of the relationship, focusing on concepts or themes rather than specific details\nFormat each relationship as (\"relationship\"<|><|><|><|><|>)\n\n3. Identify high-level key words that summarize the main concepts, themes, or topics of the entire text. These should capture the overarching ideas present in the document.\nFormat the content-level key words as (\"content_keywords\"<|>)\n\n4. Return output in English as a single list of all the entities and relationships identified in steps 1 and 2. Use **##** as the list delimiter.\n\n5. When finished, output <|COMPLETE|>\n\n######################\n---Examples---\n######################\nExample 1:\n\nEntity_types: [person, technology, mission, organization, location]\nText:\n```\nwhile Alex clenched his jaw, the buzz of frustration dull against the backdrop of Taylor's authoritarian certainty. It was this competitive undercurrent that kept him alert, the sense that his and Jordan's shared commitment to discovery was an unspoken rebellion against Cruz's narrowing vision of control and order.\n\nThen Taylor did something unexpected. They paused beside Jordan and, for a moment, observed the device with something akin to reverence. \"If this tech can be understood...\" Taylor said, their voice quieter, \"It could change the game for us. For all of us.\"\n\nThe underlying dismissal earlier seemed to falter, replaced by a glimpse of reluctant respect for the gravity of what lay in their hands. Jordan looked up, and for a fleeting heartbeat, their eyes locked with Taylor's, a wordless clash of wills softening into an uneasy truce.\n\nIt was a small transformation, barely perceptible, but one that Alex noted with an inward nod. They had all been brought here by different paths\n```\n\nOutput:\n(\"entity\"<|>\"Alex\"<|>\"person\"<|>\"Alex is a character who experiences frustration and is observant of the dynamics among other characters.\")##\n(\"entity\"<|>\"Taylor\"<|>\"person\"<|>\"Taylor is portrayed with authoritarian certainty and shows a moment of reverence towards a device, indicating a change in perspective.\")##\n(\"entity\"<|>\"Jordan\"<|>\"person\"<|>\"Jordan shares a commitment to discovery and has a significant interaction with Taylor regarding a device.\")##\n(\"entity\"<|>\"Cruz\"<|>\"person\"<|>\"Cruz is associated with a vision of control and order, influencing the dynamics among other characters.\")##\n(\"entity\"<|>\"The Device\"<|>\"technology\"<|>\"The Device is central to the story, with potential game-changing implications, and is revered by Taylor.\")##\n(\"relationship\"<|>\"Alex\"<|>\"Taylor\"<|>\"Alex is affected by Taylor's authoritarian certainty and observes changes in Taylor's attitude towards the device.\"<|>\"power dynamics, perspective shift\"<|>7)##\n(\"relationship\"<|>\"Alex\"<|>\"Jordan\"<|>\"Alex and Jordan share a commitment to discovery, which contrasts with Cruz's vision.\"<|>\"shared goals, rebellion\"<|>6)##\n(\"relationship\"<|>\"Taylor\"<|>\"Jordan\"<|>\"Taylor and Jordan interact directly regarding the device, leading to a moment of mutual respect and an uneasy truce.\"<|>\"conflict resolution, mutual respect\"<|>8)##\n(\"relationship\"<|>\"Jordan\"<|>\"Cruz\"<|>\"Jordan's commitment to discovery is in rebellion against Cruz's vision of control and order.\"<|>\"ideological conflict, rebellion\"<|>5)##\n(\"relationship\"<|>\"Taylor\"<|>\"The Device\"<|>\"Taylor shows reverence towards the device, indicating its importance and potential impact.\"<|>\"reverence, technological significance\"<|>9)##\n(\"content_keywords\"<|>\"power dynamics, ideological conflict, discovery, rebellion\")<|COMPLETE|>\n#############################\nExample 2:\n\nEntity_types: [company, index, commodity, market_trend, economic_policy, biological]\nText:\n```\nStock markets faced a sharp downturn today as tech giants saw significant declines, with the Global Tech Index dropping by 3.4% in midday trading. Analysts attribute the selloff to investor concerns over rising interest rates and regulatory uncertainty.\n\nAmong the hardest hit, Nexon Technologies saw its stock plummet by 7.8% after reporting lower-than-expected quarterly earnings. In contrast, Omega Energy posted a modest 2.1% gain, driven by rising oil prices.\n\nMeanwhile, commodity markets reflected a mixed sentiment. Gold futures rose by 1.5%, reaching $2,080 per ounce, as investors sought safe-haven assets. Crude oil prices continued their rally, climbing to $87.60 per barrel, supported by supply constraints and strong demand.\n\nFinancial experts are closely watching the Federal Reserve's next move, as speculation grows over potential rate hikes. The upcoming policy announcement is expected to influence investor confidence and overall market stability.\n```\n\nOutput:\n(\"entity\"<|>\"Global Tech Index\"<|>\"index\"<|>\"The Global Tech Index tracks the performance of major technology stocks and experienced a 3.4% decline today.\")##\n(\"entity\"<|>\"Nexon Technologies\"<|>\"company\"<|>\"Nexon Technologies is a tech company that saw its stock decline by 7.8% after disappointing earnings.\")##\n(\"entity\"<|>\"Omega Energy\"<|>\"company\"<|>\"Omega Energy is an energy company that gained 2.1% in stock value due to rising oil prices.\")##\n(\"entity\"<|>\"Gold Futures\"<|>\"commodity\"<|>\"Gold futures rose by 1.5%, indicating increased investor interest in safe-haven assets.\")##\n(\"entity\"<|>\"Crude Oil\"<|>\"commodity\"<|>\"Crude oil prices rose to $87.60 per barrel due to supply constraints and strong demand.\")##\n(\"entity\"<|>\"Market Selloff\"<|>\"market_trend\"<|>\"Market selloff refers to the significant decline in stock values due to investor concerns over interest rates and regulations.\")##\n(\"entity\"<|>\"Federal Reserve Policy Announcement\"<|>\"economic_policy\"<|>\"The Federal Reserve's upcoming policy announcement is expected to impact investor confidence and market stability.\")##\n(\"relationship\"<|>\"Global Tech Index\"<|>\"Market Selloff\"<|>\"The decline in the Global Tech Index is part of the broader market selloff driven by investor concerns.\"<|>\"market performance, investor sentiment\"<|>9)##\n(\"relationship\"<|>\"Nexon Technologies\"<|>\"Global Tech Index\"<|>\"Nexon Technologies' stock decline contributed to the overall drop in the Global Tech Index.\"<|>\"company impact, index movement\"<|>8)##\n(\"relationship\"<|>\"Gold Futures\"<|>\"Market Selloff\"<|>\"Gold prices rose as investors sought safe-haven assets during the market selloff.\"<|>\"market reaction, safe-haven investment\"<|>10)##\n(\"relationship\"<|>\"Federal Reserve Policy Announcement\"<|>\"Market Selloff\"<|>\"Speculation over Federal Reserve policy changes contributed to market volatility and investor selloff.\"<|>\"interest rate impact, financial regulation\"<|>7)##\n(\"content_keywords\"<|>\"market downturn, investor sentiment, commodities, Federal Reserve, stock performance\")<|COMPLETE|>\n#############################\nExample 3:\n\nEntity_types: [economic_policy, athlete, event, location, record, organization, equipment]\nText:\n```\nAt the World Athletics Championship in Tokyo, Noah Carter broke the 100m sprint record using cutting-edge carbon-fiber spikes.\n```\n\nOutput:\n(\"entity\"<|>\"World Athletics Championship\"<|>\"event\"<|>\"The World Athletics Championship is a global sports competition featuring top athletes in track and field.\")##\n(\"entity\"<|>\"Tokyo\"<|>\"location\"<|>\"Tokyo is the host city of the World Athletics Championship.\")##\n(\"entity\"<|>\"Noah Carter\"<|>\"athlete\"<|>\"Noah Carter is a sprinter who set a new record in the 100m sprint at the World Athletics Championship.\")##\n(\"entity\"<|>\"100m Sprint Record\"<|>\"record\"<|>\"The 100m sprint record is a benchmark in athletics, recently broken by Noah Carter.\")##\n(\"entity\"<|>\"Carbon-Fiber Spikes\"<|>\"equipment\"<|>\"Carbon-fiber spikes are advanced sprinting shoes that provide enhanced speed and traction.\")##\n(\"entity\"<|>\"World Athletics Federation\"<|>\"organization\"<|>\"The World Athletics Federation is the governing body overseeing the World Athletics Championship and record validations.\")##\n(\"relationship\"<|>\"World Athletics Championship\"<|>\"Tokyo\"<|>\"The World Athletics Championship is being hosted in Tokyo.\"<|>\"event location, international competition\"<|>8)##\n(\"relationship\"<|>\"Noah Carter\"<|>\"100m Sprint Record\"<|>\"Noah Carter set a new 100m sprint record at the championship.\"<|>\"athlete achievement, record-breaking\"<|>10)##\n(\"relationship\"<|>\"Noah Carter\"<|>\"Carbon-Fiber Spikes\"<|>\"Noah Carter used carbon-fiber spikes to enhance performance during the race.\"<|>\"athletic equipment, performance boost\"<|>7)##\n(\"relationship\"<|>\"World Athletics Federation\"<|>\"100m Sprint Record\"<|>\"The World Athletics Federation is responsible for validating and recognizing new sprint records.\"<|>\"sports regulation, record certification\"<|>9)##\n(\"content_keywords\"<|>\"athletics, sprinting, record-breaking, sports technology, competition\")<|COMPLETE|>\n#############################\n\n#############################\n---Real Data---\n######################\nEntity_types: [organization,person,geo,event,category]\nText:\n2d6b6c62c9b4c41/media/image2.png)\n延长BP交AC于D\n∵∠BPC是△PCD的一个外角，∠PDC是△BAD的一个外角\n∴∠BPC=∠PCD+∠PDC，∠PDC=∠DBA+∠A\n∴∠BPC=∠PCD+∠DBA+∠A\n∴∠BPC＞∠A\n######################\nOutput:" + }, + "fe369a9ca676a13cfb22197c5f34a2ed": { + "return": "(\"entity\"<|>\"三角形ABC\"<|>\"category\"<|>\"三角形ABC是证明三角形三边关系的核心几何图形，用于展示边与角的几何性质。\")## \n(\"entity\"<|>\"三角不等式\"<|>\"category\"<|>\"三角不等式是几何学中描述三角形边长关系的基本定理，形式为|AB|+|BC|＞|AC|。\")## \n(\"entity\"<|>\"欧几里得第五公理\"<|>\"category\"<|>\"欧几里得第五公理是几何学基础公理之一，用于证明角的大小关系。\")## \n(\"entity\"<|>\"几何原本\"<|>\"category\"<|>\"《几何原本》是欧几里得的经典数学著作，包含命题19等核心几何定理。\")## \n(\"entity\"<|>\"命题19\"<|>\"category\"<|>\"命题19指出‘大角对大边’，是三角形边角关系的关键依据。\")## \n(\"entity\"<|>\"点D\"<|>\"category\"<|>\"点D是通过延长AB并添加BD=BC构造的辅助点，形成等腰三角形BCD。\")## \n(\"entity\"<|>\"点P\"<|>\"category\"<|>\"点P是三角形ABC内部的任意点，用于证明角∠BPC与角∠A的关系。\")## \n(\"relationship\"<|>\"三角形ABC\"<|>\"三角不等式\"<|>\"三角不等式直接应用于三角形ABC的三边关系证明。\"<|>\"几何定理, 边角关系\"<|>9)## \n(\"relationship\"<|>\"欧几里得第五公理\"<|>\"三角形ABC\"<|>\"第五公理用于比较三角形ACD中的角度，与三角形ABC的构造相关。\"<|>\"公理应用, 角度推导\"<|>8)## \n(\"relationship\"<|>\"几何原本\"<|>\"命题19\"<|>\"命题19源自《几何原本》，是证明边角关系的理论来源。\"<|>\"数学经典, 定理引用\"<|>10)## \n(\"relationship\"<|>\"命题19\"<|>\"三角形ABC\"<|>\"命题19被用于证明三角形ABC中边AD与边AC的关系。\"<|>\"边角逻辑, 几何推理\"<|>9)## \n(\"relationship\"<|>\"点D\"<|>\"三角形ABC\"<|>\"点D是三角形ABC的延伸构造，用于辅助证明边角不等式。\"<|>\"辅助构造, 几何扩展\"<|>7)## \n(\"relationship\"<|>\"点P\"<|>\"三角形ABC\"<|>\"点P的存在证明了三角形内部点的角与顶角的关系。\"<|>\"内部角度, 几何性质\"<|>8)## \n(\"content_keywords\"<|>\"几何证明, 三角形不等式, 欧几里得几何, 边角关系, 数学定理\")<|COMPLETE|>", + "cache_type": "extract", + "chunk_id": "chunk-75b23a7e22383153b011bd3d121184f0", + "embedding": null, + "embedding_shape": null, + "embedding_min": null, + "embedding_max": null, + "original_prompt": "[{\"role\": \"user\", \"content\": \"---Goal---\\nGiven a text document that is potentially relevant to this activity and a list of entity types, identify all entities of those types from the text and all relationships among the identified entities.\\nUse English as output language.\\n\\n---Steps---\\n1. Identify all entities. For each identified entity, extract the following information:\\n- entity_name: Name of the entity, use same language as input text. If English, capitalized the name.\\n- entity_type: One of the following types: [organization,person,geo,event,category]\\n- entity_description: Comprehensive description of the entity's attributes and activities\\nFormat each entity as (\\\"entity\\\"<|><|><|>)\\n\\n2. From the entities identified in step 1, identify all pairs of (source_entity, target_entity) that are *clearly related* to each other.\\nFor each pair of related entities, extract the following information:\\n- source_entity: name of the source entity, as identified in step 1\\n- target_entity: name of the target entity, as identified in step 1\\n- relationship_description: explanation as to why you think the source entity and the target entity are related to each other\\n- relationship_strength: a numeric score indicating strength of the relationship between the source entity and target entity\\n- relationship_keywords: one or more high-level key words that summarize the overarching nature of the relationship, focusing on concepts or themes rather than specific details\\nFormat each relationship as (\\\"relationship\\\"<|><|><|><|><|>)\\n\\n3. Identify high-level key words that summarize the main concepts, themes, or topics of the entire text. These should capture the overarching ideas present in the document.\\nFormat the content-level key words as (\\\"content_keywords\\\"<|>)\\n\\n4. Return output in English as a single list of all the entities and relationships identified in steps 1 and 2. Use **##** as the list delimiter.\\n\\n5. When finished, output <|COMPLETE|>\\n\\n######################\\n---Examples---\\n######################\\nExample 1:\\n\\nEntity_types: [person, technology, mission, organization, location]\\nText:\\n```\\nwhile Alex clenched his jaw, the buzz of frustration dull against the backdrop of Taylor's authoritarian certainty. It was this competitive undercurrent that kept him alert, the sense that his and Jordan's shared commitment to discovery was an unspoken rebellion against Cruz's narrowing vision of control and order.\\n\\nThen Taylor did something unexpected. They paused beside Jordan and, for a moment, observed the device with something akin to reverence. \\\"If this tech can be understood...\\\" Taylor said, their voice quieter, \\\"It could change the game for us. For all of us.\\\"\\n\\nThe underlying dismissal earlier seemed to falter, replaced by a glimpse of reluctant respect for the gravity of what lay in their hands. Jordan looked up, and for a fleeting heartbeat, their eyes locked with Taylor's, a wordless clash of wills softening into an uneasy truce.\\n\\nIt was a small transformation, barely perceptible, but one that Alex noted with an inward nod. They had all been brought here by different paths\\n```\\n\\nOutput:\\n(\\\"entity\\\"<|>\\\"Alex\\\"<|>\\\"person\\\"<|>\\\"Alex is a character who experiences frustration and is observant of the dynamics among other characters.\\\")##\\n(\\\"entity\\\"<|>\\\"Taylor\\\"<|>\\\"person\\\"<|>\\\"Taylor is portrayed with authoritarian certainty and shows a moment of reverence towards a device, indicating a change in perspective.\\\")##\\n(\\\"entity\\\"<|>\\\"Jordan\\\"<|>\\\"person\\\"<|>\\\"Jordan shares a commitment to discovery and has a significant interaction with Taylor regarding a device.\\\")##\\n(\\\"entity\\\"<|>\\\"Cruz\\\"<|>\\\"person\\\"<|>\\\"Cruz is associated with a vision of control and order, influencing the dynamics among other characters.\\\")##\\n(\\\"entity\\\"<|>\\\"The Device\\\"<|>\\\"technology\\\"<|>\\\"The Device is central to the story, with potential game-changing implications, and is revered by Taylor.\\\")##\\n(\\\"relationship\\\"<|>\\\"Alex\\\"<|>\\\"Taylor\\\"<|>\\\"Alex is affected by Taylor's authoritarian certainty and observes changes in Taylor's attitude towards the device.\\\"<|>\\\"power dynamics, perspective shift\\\"<|>7)##\\n(\\\"relationship\\\"<|>\\\"Alex\\\"<|>\\\"Jordan\\\"<|>\\\"Alex and Jordan share a commitment to discovery, which contrasts with Cruz's vision.\\\"<|>\\\"shared goals, rebellion\\\"<|>6)##\\n(\\\"relationship\\\"<|>\\\"Taylor\\\"<|>\\\"Jordan\\\"<|>\\\"Taylor and Jordan interact directly regarding the device, leading to a moment of mutual respect and an uneasy truce.\\\"<|>\\\"conflict resolution, mutual respect\\\"<|>8)##\\n(\\\"relationship\\\"<|>\\\"Jordan\\\"<|>\\\"Cruz\\\"<|>\\\"Jordan's commitment to discovery is in rebellion against Cruz's vision of control and order.\\\"<|>\\\"ideological conflict, rebellion\\\"<|>5)##\\n(\\\"relationship\\\"<|>\\\"Taylor\\\"<|>\\\"The Device\\\"<|>\\\"Taylor shows reverence towards the device, indicating its importance and potential impact.\\\"<|>\\\"reverence, technological significance\\\"<|>9)##\\n(\\\"content_keywords\\\"<|>\\\"power dynamics, ideological conflict, discovery, rebellion\\\")<|COMPLETE|>\\n#############################\\nExample 2:\\n\\nEntity_types: [company, index, commodity, market_trend, economic_policy, biological]\\nText:\\n```\\nStock markets faced a sharp downturn today as tech giants saw significant declines, with the Global Tech Index dropping by 3.4% in midday trading. Analysts attribute the selloff to investor concerns over rising interest rates and regulatory uncertainty.\\n\\nAmong the hardest hit, Nexon Technologies saw its stock plummet by 7.8% after reporting lower-than-expected quarterly earnings. In contrast, Omega Energy posted a modest 2.1% gain, driven by rising oil prices.\\n\\nMeanwhile, commodity markets reflected a mixed sentiment. Gold futures rose by 1.5%, reaching $2,080 per ounce, as investors sought safe-haven assets. Crude oil prices continued their rally, climbing to $87.60 per barrel, supported by supply constraints and strong demand.\\n\\nFinancial experts are closely watching the Federal Reserve's next move, as speculation grows over potential rate hikes. The upcoming policy announcement is expected to influence investor confidence and overall market stability.\\n```\\n\\nOutput:\\n(\\\"entity\\\"<|>\\\"Global Tech Index\\\"<|>\\\"index\\\"<|>\\\"The Global Tech Index tracks the performance of major technology stocks and experienced a 3.4% decline today.\\\")##\\n(\\\"entity\\\"<|>\\\"Nexon Technologies\\\"<|>\\\"company\\\"<|>\\\"Nexon Technologies is a tech company that saw its stock decline by 7.8% after disappointing earnings.\\\")##\\n(\\\"entity\\\"<|>\\\"Omega Energy\\\"<|>\\\"company\\\"<|>\\\"Omega Energy is an energy company that gained 2.1% in stock value due to rising oil prices.\\\")##\\n(\\\"entity\\\"<|>\\\"Gold Futures\\\"<|>\\\"commodity\\\"<|>\\\"Gold futures rose by 1.5%, indicating increased investor interest in safe-haven assets.\\\")##\\n(\\\"entity\\\"<|>\\\"Crude Oil\\\"<|>\\\"commodity\\\"<|>\\\"Crude oil prices rose to $87.60 per barrel due to supply constraints and strong demand.\\\")##\\n(\\\"entity\\\"<|>\\\"Market Selloff\\\"<|>\\\"market_trend\\\"<|>\\\"Market selloff refers to the significant decline in stock values due to investor concerns over interest rates and regulations.\\\")##\\n(\\\"entity\\\"<|>\\\"Federal Reserve Policy Announcement\\\"<|>\\\"economic_policy\\\"<|>\\\"The Federal Reserve's upcoming policy announcement is expected to impact investor confidence and market stability.\\\")##\\n(\\\"relationship\\\"<|>\\\"Global Tech Index\\\"<|>\\\"Market Selloff\\\"<|>\\\"The decline in the Global Tech Index is part of the broader market selloff driven by investor concerns.\\\"<|>\\\"market performance, investor sentiment\\\"<|>9)##\\n(\\\"relationship\\\"<|>\\\"Nexon Technologies\\\"<|>\\\"Global Tech Index\\\"<|>\\\"Nexon Technologies' stock decline contributed to the overall drop in the Global Tech Index.\\\"<|>\\\"company impact, index movement\\\"<|>8)##\\n(\\\"relationship\\\"<|>\\\"Gold Futures\\\"<|>\\\"Market Selloff\\\"<|>\\\"Gold prices rose as investors sought safe-haven assets during the market selloff.\\\"<|>\\\"market reaction, safe-haven investment\\\"<|>10)##\\n(\\\"relationship\\\"<|>\\\"Federal Reserve Policy Announcement\\\"<|>\\\"Market Selloff\\\"<|>\\\"Speculation over Federal Reserve policy changes contributed to market volatility and investor selloff.\\\"<|>\\\"interest rate impact, financial regulation\\\"<|>7)##\\n(\\\"content_keywords\\\"<|>\\\"market downturn, investor sentiment, commodities, Federal Reserve, stock performance\\\")<|COMPLETE|>\\n#############################\\nExample 3:\\n\\nEntity_types: [economic_policy, athlete, event, location, record, organization, equipment]\\nText:\\n```\\nAt the World Athletics Championship in Tokyo, Noah Carter broke the 100m sprint record using cutting-edge carbon-fiber spikes.\\n```\\n\\nOutput:\\n(\\\"entity\\\"<|>\\\"World Athletics Championship\\\"<|>\\\"event\\\"<|>\\\"The World Athletics Championship is a global sports competition featuring top athletes in track and field.\\\")##\\n(\\\"entity\\\"<|>\\\"Tokyo\\\"<|>\\\"location\\\"<|>\\\"Tokyo is the host city of the World Athletics Championship.\\\")##\\n(\\\"entity\\\"<|>\\\"Noah Carter\\\"<|>\\\"athlete\\\"<|>\\\"Noah Carter is a sprinter who set a new record in the 100m sprint at the World Athletics Championship.\\\")##\\n(\\\"entity\\\"<|>\\\"100m Sprint Record\\\"<|>\\\"record\\\"<|>\\\"The 100m sprint record is a benchmark in athletics, recently broken by Noah Carter.\\\")##\\n(\\\"entity\\\"<|>\\\"Carbon-Fiber Spikes\\\"<|>\\\"equipment\\\"<|>\\\"Carbon-fiber spikes are advanced sprinting shoes that provide enhanced speed and traction.\\\")##\\n(\\\"entity\\\"<|>\\\"World Athletics Federation\\\"<|>\\\"organization\\\"<|>\\\"The World Athletics Federation is the governing body overseeing the World Athletics Championship and record validations.\\\")##\\n(\\\"relationship\\\"<|>\\\"World Athletics Championship\\\"<|>\\\"Tokyo\\\"<|>\\\"The World Athletics Championship is being hosted in Tokyo.\\\"<|>\\\"event location, international competition\\\"<|>8)##\\n(\\\"relationship\\\"<|>\\\"Noah Carter\\\"<|>\\\"100m Sprint Record\\\"<|>\\\"Noah Carter set a new 100m sprint record at the championship.\\\"<|>\\\"athlete achievement, record-breaking\\\"<|>10)##\\n(\\\"relationship\\\"<|>\\\"Noah Carter\\\"<|>\\\"Carbon-Fiber Spikes\\\"<|>\\\"Noah Carter used carbon-fiber spikes to enhance performance during the race.\\\"<|>\\\"athletic equipment, performance boost\\\"<|>7)##\\n(\\\"relationship\\\"<|>\\\"World Athletics Federation\\\"<|>\\\"100m Sprint Record\\\"<|>\\\"The World Athletics Federation is responsible for validating and recognizing new sprint records.\\\"<|>\\\"sports regulation, record certification\\\"<|>9)##\\n(\\\"content_keywords\\\"<|>\\\"athletics, sprinting, record-breaking, sports technology, competition\\\")<|COMPLETE|>\\n#############################\\n\\n#############################\\n---Real Data---\\n######################\\nEntity_types: [organization,person,geo,event,category]\\nText:\\n三角形三边关系的证明\\n证明方法如下：\\n作下图所示的三角形ABC。在三角形ABC中，[三角不等式](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E4%B8%89%E8%A7%92%E4%B8%8D%E7%AD%89%E5%BC%8F&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLkuInop5LkuI3nrYnlvI8iLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.rH6r8SvGmu-I9piEsmZfg2HjbXzUduYclZ2jfA3jZRs&zhida_source=entity)可以表示为|AB|+|BC|＞|AC|。\\n![](./Images/868c80b8ff2547adb2d6b6c62c9b4c41/media/image1.png)\\nheight=\\\"1.91044072615923in\\\"}\\n①延长直线AB至点D，并使|BD|=|BC|，连接|DC|，那么三角形BCD为等腰三角形。所以∠BDC=∠BCD。\\n②记它们均为α，根据[欧几里得第五公理](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97%E7%AC%AC%E4%BA%94%E5%85%AC%E7%90%86&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLmrKflh6Dph4zlvpfnrKzkupTlhaznkIYiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.ltcWsMYJv-ZzcuBaSjYN69JC8hnIyPMFsfhIlum4yqc&zhida_source=entity)，∠ACD大于角∠ADC(α)。\\n③由于∠ACD的对边为AD，∠ADC(α)的对边为AC，所以根据大角对大边([几何原本](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E5%87%A0%E4%BD%95%E5%8E%9F%E6%9C%AC&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLlh6DkvZXljp_mnKwiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.Q1rCY0S2bj5Dwp3Fg7xb_VSFESz2_pCUETDybnHANvo&zhida_source=entity)中的命题19)就可以得到|AB|+|BC|=|AB|+|BD|=|AD|＞|AC|。\\n求证：在三角形ABC中，P为其内部任意一点。请证明：∠BPC > ∠A。\\n证明过程：\\n![](./Images/868c80b8ff2547adb2d6b6c62c9b4c41/media/image2.png)\\n延长BP交AC于D\\n∵∠BPC是△PCD的一个外角，∠PDC是△BAD的一个外角\\n∴∠BPC=∠PCD+∠PDC，∠PDC=∠DBA+∠A\\n∴∠BPC=∠PCD+∠DBA\\n######################\\nOutput:\"}, {\"role\": \"assistant\", \"content\": \"(\\\"entity\\\"<|>\\\"Triangle ABC\\\"<|>\\\"category\\\"<|>\\\"Triangle ABC is the primary geometric figure used in the proof of the triangle inequality and angle relationships.\\\")##\\n(\\\"entity\\\"<|>\\\"Point D\\\"<|>\\\"category\\\"<|>\\\"Point D is constructed by extending line AB and adding segment BD equal to BC, forming an isosceles triangle.\\\")##\\n(\\\"entity\\\"<|>\\\"Point P\\\"<|>\\\"category\\\"<|>\\\"Point P is an arbitrary interior point of triangle ABC, used to demonstrate angle relationships.\\\")##\\n(\\\"entity\\\"<|>\\\"Euclid's Fifth Postulate\\\"<|>\\\"category\\\"<|>\\\"Euclid's Fifth Postulate is referenced to justify angle comparisons in the geometric proof.\\\")##\\n(\\\"entity\\\"<|>\\\"Proposition 19 of the Elements\\\"<|>\\\"category\\\"<|>\\\"Proposition 19 from Euclid's Elements is cited to establish the relationship between angles and opposite sides in the proof.\\\")##\\n(\\\"relationship\\\"<|>\\\"Triangle ABC\\\"<|>\\\"Point D\\\"<|>\\\"Point D is constructed from triangle ABC by extending AB and adding segment BD equal to BC.\\\"<|>\\\"geometric construction, triangle extension\\\"<|>8)##\\n(\\\"relationship\\\"<|>\\\"Point D\\\"<|>\\\"Euclid's Fifth Postulate\\\"<|>\\\"Euclid's Fifth Postulate is used to compare angles in triangle ACD, which includes point D.\\\"<|>\\\"geometric proof, angle comparison\\\"<|>7)##\\n(\\\"relationship\\\"<|>\\\"Proposition 19 of the Elements\\\"<|>\\\"Triangle ABC\\\"<|>\\\"Proposition 19 is applied to triangle ABC to justify the relationship between angles and sides.\\\"<|>\\\"geometric theorem, angle-side relationship\\\"<|>9)##\\n(\\\"relationship\\\"<|>\\\"Point P\\\"<|>\\\"Triangle ABC\\\"<|>\\\"Point P is an interior point of triangle ABC, used to demonstrate angle relationships within the triangle.\\\"<|>\\\"interior point, angle proof\\\"<|>8)##\\n(\\\"content_keywords\\\"<|>\\\"geometry, triangle inequality, Euclid's Elements, angle relationships, geometric proof\\\")<|COMPLETE|>\"}]\nMANY entities and relationships were missed in the last extraction.\n\n---Remember Steps---\n\n1. Identify all entities. For each identified entity, extract the following information:\n- entity_name: Name of the entity, use same language as input text. If English, capitalized the name.\n- entity_type: One of the following types: [organization,person,geo,event,category]\n- entity_description: Comprehensive description of the entity's attributes and activities\nFormat each entity as (\"entity\"<|><|><|>)\n\n2. From the entities identified in step 1, identify all pairs of (source_entity, target_entity) that are *clearly related* to each other.\nFor each pair of related entities, extract the following information:\n- source_entity: name of the source entity, as identified in step 1\n- target_entity: name of the target entity, as identified in step 1\n- relationship_description: explanation as to why you think the source entity and the target entity are related to each other\n- relationship_strength: a numeric score indicating strength of the relationship between the source entity and target entity\n- relationship_keywords: one or more high-level key words that summarize the overarching nature of the relationship, focusing on concepts or themes rather than specific details\nFormat each relationship as (\"relationship\"<|><|><|><|><|>)\n\n3. Identify high-level key words that summarize the main concepts, themes, or topics of the entire text. These should capture the overarching ideas present in the document.\nFormat the content-level key words as (\"content_keywords\"<|>)\n\n4. Return output in English as a single list of all the entities and relationships identified in steps 1 and 2. Use **##** as the list delimiter.\n\n5. When finished, output <|COMPLETE|>\n\n---Output---\n\nAdd them below using the same format:" + }, + "efa3b737eb20e1102693205bcb890cf8": { + "return": "(\"entity\"<|>\"△PCD\"<|>\"category\"<|>\"△PCD is a triangle formed by points P, C, and D, with ∠PCD and ∠PDC as its interior angles.\")##\n(\"entity\"<|>\"△BAD\"<|>\"category\"<|>\"△BAD is a triangle formed by points B, A, and D, with ∠DBA and ∠A as its interior angles.\")##\n(\"entity\"<|>\"P\"<|>\"geo\"<|>\"P is a geometric point where BP originates and ∠BPC is formed.\")##\n(\"entity\"<|>\"B\"<|>\"geo\"<|>\"B is a geometric point where BP originates and ∠DBA is formed.\")##\n(\"entity\"<|>\"C\"<|>\"geo\"<|>\"C is a geometric point where AC terminates and ∠PCD is formed.\")##\n(\"entity\"<|>\"A\"<|>\"geo\"<|>\"A is a geometric point where AC originates and ∠A is formed.\")##\n(\"relationship\"<|>\"△PCD\"<|>\"∠BPC\"<|>\"∠BPC is an exterior angle of △PCD, equal to the sum of its non-adjacent interior angles.\"<|>\"exterior angle theorem, angle sum\"<|>9)##\n(\"relationship\"<|>\"△BAD\"<|>\"∠PDC\"<|>\"∠PDC is an exterior angle of △BAD, equal to the sum of its non-adjacent interior angles.\"<|>\"exterior angle theorem, angle sum\"<|>9)##\n(\"relationship\"<|>\"P\"<|>\"BP\"<|>\"P is the endpoint of BP where ∠BPC is formed.\"<|>\"point-line connection, angle formation\"<|>7)##\n(\"relationship\"<|>\"B\"<|>\"BP\"<|>\"B is the endpoint of BP where it originates.\"<|>\"point-line connection, line origin\"<|>8)##\n(\"relationship\"<|>\"C\"<|>\"AC\"<|>\"C is the endpoint of AC where it terminates.\"<|>\"point-line connection, line termination\"<|>8)##\n(\"relationship\"<|>\"A\"<|>\"AC\"<|>\"A is the endpoint of AC where it originates.\"<|>\"point-line connection, line origin\"<|>8)##\n(\"relationship\"<|>\"△PCD\"<|>\"△BAD\"<|>\"Both triangles share point D and are part of the geometric proof involving angle relationships.\"<|>\"shared vertex, geometric proof\"<|>7)##\n(\"content_keywords\"<|>\"geometry, triangles, angles, exterior angle theorem, proof, intersection\")<|COMPLETE|>", + "cache_type": "extract", + "chunk_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", + "embedding": null, + "embedding_shape": null, + "embedding_min": null, + "embedding_max": null, + "original_prompt": "[{\"role\": \"user\", \"content\": \"---Goal---\\nGiven a text document that is potentially relevant to this activity and a list of entity types, identify all entities of those types from the text and all relationships among the identified entities.\\nUse English as output language.\\n\\n---Steps---\\n1. Identify all entities. For each identified entity, extract the following information:\\n- entity_name: Name of the entity, use same language as input text. If English, capitalized the name.\\n- entity_type: One of the following types: [organization,person,geo,event,category]\\n- entity_description: Comprehensive description of the entity's attributes and activities\\nFormat each entity as (\\\"entity\\\"<|><|><|>)\\n\\n2. From the entities identified in step 1, identify all pairs of (source_entity, target_entity) that are *clearly related* to each other.\\nFor each pair of related entities, extract the following information:\\n- source_entity: name of the source entity, as identified in step 1\\n- target_entity: name of the target entity, as identified in step 1\\n- relationship_description: explanation as to why you think the source entity and the target entity are related to each other\\n- relationship_strength: a numeric score indicating strength of the relationship between the source entity and target entity\\n- relationship_keywords: one or more high-level key words that summarize the overarching nature of the relationship, focusing on concepts or themes rather than specific details\\nFormat each relationship as (\\\"relationship\\\"<|><|><|><|><|>)\\n\\n3. Identify high-level key words that summarize the main concepts, themes, or topics of the entire text. These should capture the overarching ideas present in the document.\\nFormat the content-level key words as (\\\"content_keywords\\\"<|>)\\n\\n4. Return output in English as a single list of all the entities and relationships identified in steps 1 and 2. Use **##** as the list delimiter.\\n\\n5. When finished, output <|COMPLETE|>\\n\\n######################\\n---Examples---\\n######################\\nExample 1:\\n\\nEntity_types: [person, technology, mission, organization, location]\\nText:\\n```\\nwhile Alex clenched his jaw, the buzz of frustration dull against the backdrop of Taylor's authoritarian certainty. It was this competitive undercurrent that kept him alert, the sense that his and Jordan's shared commitment to discovery was an unspoken rebellion against Cruz's narrowing vision of control and order.\\n\\nThen Taylor did something unexpected. They paused beside Jordan and, for a moment, observed the device with something akin to reverence. \\\"If this tech can be understood...\\\" Taylor said, their voice quieter, \\\"It could change the game for us. For all of us.\\\"\\n\\nThe underlying dismissal earlier seemed to falter, replaced by a glimpse of reluctant respect for the gravity of what lay in their hands. Jordan looked up, and for a fleeting heartbeat, their eyes locked with Taylor's, a wordless clash of wills softening into an uneasy truce.\\n\\nIt was a small transformation, barely perceptible, but one that Alex noted with an inward nod. They had all been brought here by different paths\\n```\\n\\nOutput:\\n(\\\"entity\\\"<|>\\\"Alex\\\"<|>\\\"person\\\"<|>\\\"Alex is a character who experiences frustration and is observant of the dynamics among other characters.\\\")##\\n(\\\"entity\\\"<|>\\\"Taylor\\\"<|>\\\"person\\\"<|>\\\"Taylor is portrayed with authoritarian certainty and shows a moment of reverence towards a device, indicating a change in perspective.\\\")##\\n(\\\"entity\\\"<|>\\\"Jordan\\\"<|>\\\"person\\\"<|>\\\"Jordan shares a commitment to discovery and has a significant interaction with Taylor regarding a device.\\\")##\\n(\\\"entity\\\"<|>\\\"Cruz\\\"<|>\\\"person\\\"<|>\\\"Cruz is associated with a vision of control and order, influencing the dynamics among other characters.\\\")##\\n(\\\"entity\\\"<|>\\\"The Device\\\"<|>\\\"technology\\\"<|>\\\"The Device is central to the story, with potential game-changing implications, and is revered by Taylor.\\\")##\\n(\\\"relationship\\\"<|>\\\"Alex\\\"<|>\\\"Taylor\\\"<|>\\\"Alex is affected by Taylor's authoritarian certainty and observes changes in Taylor's attitude towards the device.\\\"<|>\\\"power dynamics, perspective shift\\\"<|>7)##\\n(\\\"relationship\\\"<|>\\\"Alex\\\"<|>\\\"Jordan\\\"<|>\\\"Alex and Jordan share a commitment to discovery, which contrasts with Cruz's vision.\\\"<|>\\\"shared goals, rebellion\\\"<|>6)##\\n(\\\"relationship\\\"<|>\\\"Taylor\\\"<|>\\\"Jordan\\\"<|>\\\"Taylor and Jordan interact directly regarding the device, leading to a moment of mutual respect and an uneasy truce.\\\"<|>\\\"conflict resolution, mutual respect\\\"<|>8)##\\n(\\\"relationship\\\"<|>\\\"Jordan\\\"<|>\\\"Cruz\\\"<|>\\\"Jordan's commitment to discovery is in rebellion against Cruz's vision of control and order.\\\"<|>\\\"ideological conflict, rebellion\\\"<|>5)##\\n(\\\"relationship\\\"<|>\\\"Taylor\\\"<|>\\\"The Device\\\"<|>\\\"Taylor shows reverence towards the device, indicating its importance and potential impact.\\\"<|>\\\"reverence, technological significance\\\"<|>9)##\\n(\\\"content_keywords\\\"<|>\\\"power dynamics, ideological conflict, discovery, rebellion\\\")<|COMPLETE|>\\n#############################\\nExample 2:\\n\\nEntity_types: [company, index, commodity, market_trend, economic_policy, biological]\\nText:\\n```\\nStock markets faced a sharp downturn today as tech giants saw significant declines, with the Global Tech Index dropping by 3.4% in midday trading. Analysts attribute the selloff to investor concerns over rising interest rates and regulatory uncertainty.\\n\\nAmong the hardest hit, Nexon Technologies saw its stock plummet by 7.8% after reporting lower-than-expected quarterly earnings. In contrast, Omega Energy posted a modest 2.1% gain, driven by rising oil prices.\\n\\nMeanwhile, commodity markets reflected a mixed sentiment. Gold futures rose by 1.5%, reaching $2,080 per ounce, as investors sought safe-haven assets. Crude oil prices continued their rally, climbing to $87.60 per barrel, supported by supply constraints and strong demand.\\n\\nFinancial experts are closely watching the Federal Reserve's next move, as speculation grows over potential rate hikes. The upcoming policy announcement is expected to influence investor confidence and overall market stability.\\n```\\n\\nOutput:\\n(\\\"entity\\\"<|>\\\"Global Tech Index\\\"<|>\\\"index\\\"<|>\\\"The Global Tech Index tracks the performance of major technology stocks and experienced a 3.4% decline today.\\\")##\\n(\\\"entity\\\"<|>\\\"Nexon Technologies\\\"<|>\\\"company\\\"<|>\\\"Nexon Technologies is a tech company that saw its stock decline by 7.8% after disappointing earnings.\\\")##\\n(\\\"entity\\\"<|>\\\"Omega Energy\\\"<|>\\\"company\\\"<|>\\\"Omega Energy is an energy company that gained 2.1% in stock value due to rising oil prices.\\\")##\\n(\\\"entity\\\"<|>\\\"Gold Futures\\\"<|>\\\"commodity\\\"<|>\\\"Gold futures rose by 1.5%, indicating increased investor interest in safe-haven assets.\\\")##\\n(\\\"entity\\\"<|>\\\"Crude Oil\\\"<|>\\\"commodity\\\"<|>\\\"Crude oil prices rose to $87.60 per barrel due to supply constraints and strong demand.\\\")##\\n(\\\"entity\\\"<|>\\\"Market Selloff\\\"<|>\\\"market_trend\\\"<|>\\\"Market selloff refers to the significant decline in stock values due to investor concerns over interest rates and regulations.\\\")##\\n(\\\"entity\\\"<|>\\\"Federal Reserve Policy Announcement\\\"<|>\\\"economic_policy\\\"<|>\\\"The Federal Reserve's upcoming policy announcement is expected to impact investor confidence and market stability.\\\")##\\n(\\\"relationship\\\"<|>\\\"Global Tech Index\\\"<|>\\\"Market Selloff\\\"<|>\\\"The decline in the Global Tech Index is part of the broader market selloff driven by investor concerns.\\\"<|>\\\"market performance, investor sentiment\\\"<|>9)##\\n(\\\"relationship\\\"<|>\\\"Nexon Technologies\\\"<|>\\\"Global Tech Index\\\"<|>\\\"Nexon Technologies' stock decline contributed to the overall drop in the Global Tech Index.\\\"<|>\\\"company impact, index movement\\\"<|>8)##\\n(\\\"relationship\\\"<|>\\\"Gold Futures\\\"<|>\\\"Market Selloff\\\"<|>\\\"Gold prices rose as investors sought safe-haven assets during the market selloff.\\\"<|>\\\"market reaction, safe-haven investment\\\"<|>10)##\\n(\\\"relationship\\\"<|>\\\"Federal Reserve Policy Announcement\\\"<|>\\\"Market Selloff\\\"<|>\\\"Speculation over Federal Reserve policy changes contributed to market volatility and investor selloff.\\\"<|>\\\"interest rate impact, financial regulation\\\"<|>7)##\\n(\\\"content_keywords\\\"<|>\\\"market downturn, investor sentiment, commodities, Federal Reserve, stock performance\\\")<|COMPLETE|>\\n#############################\\nExample 3:\\n\\nEntity_types: [economic_policy, athlete, event, location, record, organization, equipment]\\nText:\\n```\\nAt the World Athletics Championship in Tokyo, Noah Carter broke the 100m sprint record using cutting-edge carbon-fiber spikes.\\n```\\n\\nOutput:\\n(\\\"entity\\\"<|>\\\"World Athletics Championship\\\"<|>\\\"event\\\"<|>\\\"The World Athletics Championship is a global sports competition featuring top athletes in track and field.\\\")##\\n(\\\"entity\\\"<|>\\\"Tokyo\\\"<|>\\\"location\\\"<|>\\\"Tokyo is the host city of the World Athletics Championship.\\\")##\\n(\\\"entity\\\"<|>\\\"Noah Carter\\\"<|>\\\"athlete\\\"<|>\\\"Noah Carter is a sprinter who set a new record in the 100m sprint at the World Athletics Championship.\\\")##\\n(\\\"entity\\\"<|>\\\"100m Sprint Record\\\"<|>\\\"record\\\"<|>\\\"The 100m sprint record is a benchmark in athletics, recently broken by Noah Carter.\\\")##\\n(\\\"entity\\\"<|>\\\"Carbon-Fiber Spikes\\\"<|>\\\"equipment\\\"<|>\\\"Carbon-fiber spikes are advanced sprinting shoes that provide enhanced speed and traction.\\\")##\\n(\\\"entity\\\"<|>\\\"World Athletics Federation\\\"<|>\\\"organization\\\"<|>\\\"The World Athletics Federation is the governing body overseeing the World Athletics Championship and record validations.\\\")##\\n(\\\"relationship\\\"<|>\\\"World Athletics Championship\\\"<|>\\\"Tokyo\\\"<|>\\\"The World Athletics Championship is being hosted in Tokyo.\\\"<|>\\\"event location, international competition\\\"<|>8)##\\n(\\\"relationship\\\"<|>\\\"Noah Carter\\\"<|>\\\"100m Sprint Record\\\"<|>\\\"Noah Carter set a new 100m sprint record at the championship.\\\"<|>\\\"athlete achievement, record-breaking\\\"<|>10)##\\n(\\\"relationship\\\"<|>\\\"Noah Carter\\\"<|>\\\"Carbon-Fiber Spikes\\\"<|>\\\"Noah Carter used carbon-fiber spikes to enhance performance during the race.\\\"<|>\\\"athletic equipment, performance boost\\\"<|>7)##\\n(\\\"relationship\\\"<|>\\\"World Athletics Federation\\\"<|>\\\"100m Sprint Record\\\"<|>\\\"The World Athletics Federation is responsible for validating and recognizing new sprint records.\\\"<|>\\\"sports regulation, record certification\\\"<|>9)##\\n(\\\"content_keywords\\\"<|>\\\"athletics, sprinting, record-breaking, sports technology, competition\\\")<|COMPLETE|>\\n#############################\\n\\n#############################\\n---Real Data---\\n######################\\nEntity_types: [organization,person,geo,event,category]\\nText:\\n2d6b6c62c9b4c41/media/image2.png)\\n延长BP交AC于D\\n∵∠BPC是△PCD的一个外角，∠PDC是△BAD的一个外角\\n∴∠BPC=∠PCD+∠PDC，∠PDC=∠DBA+∠A\\n∴∠BPC=∠PCD+∠DBA+∠A\\n∴∠BPC＞∠A\\n######################\\nOutput:\"}, {\"role\": \"assistant\", \"content\": \"(\\\"entity\\\"<|>\\\"BP\\\"<|>\\\"geo\\\"<|>\\\"BP is a geometric line segment intersecting AC at point D.\\\")##\\n(\\\"entity\\\"<|>\\\"AC\\\"<|>\\\"geo\\\"<|>\\\"AC is a geometric line segment intersected by BP at point D.\\\")##\\n(\\\"entity\\\"<|>\\\"D\\\"<|>\\\"geo\\\"<|>\\\"D is the intersection point of BP and AC.\\\")##\\n(\\\"entity\\\"<|>\\\"∠BPC\\\"<|>\\\"category\\\"<|>\\\"∠BPC is an angle formed at point P, exterior to triangle PCD.\\\")##\\n(\\\"entity\\\"<|>\\\"∠PCD\\\"<|>\\\"category\\\"<|>\\\"∠PCD is an angle within triangle PCD.\\\")##\\n(\\\"entity\\\"<|>\\\"∠PDC\\\"<|>\\\"category\\\"<|>\\\"∠PDC is an angle within triangle PCD and exterior to triangle BAD.\\\")##\\n(\\\"entity\\\"<|>\\\"∠DBA\\\"<|>\\\"category\\\"<|>\\\"∠DBA is an angle within triangle BAD.\\\")##\\n(\\\"entity\\\"<|>\\\"∠A\\\"<|>\\\"category\\\"<|>\\\"∠A is an angle within triangle BAD.\\\")##\\n(\\\"relationship\\\"<|>\\\"BP\\\"<|>\\\"AC\\\"<|>\\\"BP intersects AC at point D, forming geometric relationships.\\\"<|>\\\"intersection, geometric construction\\\"<|>8)##\\n(\\\"relationship\\\"<|>\\\"∠BPC\\\"<|>\\\"∠PCD\\\"<|>\\\"∠BPC is the sum of ∠PCD and ∠PDC, showing an exterior angle relationship.\\\"<|>\\\"angle sum, exterior angle theorem\\\"<|>9)##\\n(\\\"relationship\\\"<|>\\\"∠PDC\\\"<|>\\\"∠DBA\\\"<|>\\\"∠PDC is the sum of ∠DBA and ∠A, demonstrating an exterior angle relationship.\\\"<|>\\\"angle sum, exterior angle theorem\\\"<|>9)##\\n(\\\"relationship\\\"<|>\\\"∠BPC\\\"<|>\\\"∠A\\\"<|>\\\"∠BPC is greater than ∠A due to the sum of angles in the geometric proof.\\\"<|>\\\"angle comparison, inequality\\\"<|>7)##\\n(\\\"content_keywords\\\"<|>\\\"geometry, angles, triangles, intersection, proof\\\")<|COMPLETE|>\"}]\nMANY entities and relationships were missed in the last extraction.\n\n---Remember Steps---\n\n1. Identify all entities. For each identified entity, extract the following information:\n- entity_name: Name of the entity, use same language as input text. If English, capitalized the name.\n- entity_type: One of the following types: [organization,person,geo,event,category]\n- entity_description: Comprehensive description of the entity's attributes and activities\nFormat each entity as (\"entity\"<|><|><|>)\n\n2. From the entities identified in step 1, identify all pairs of (source_entity, target_entity) that are *clearly related* to each other.\nFor each pair of related entities, extract the following information:\n- source_entity: name of the source entity, as identified in step 1\n- target_entity: name of the target entity, as identified in step 1\n- relationship_description: explanation as to why you think the source entity and the target entity are related to each other\n- relationship_strength: a numeric score indicating strength of the relationship between the source entity and target entity\n- relationship_keywords: one or more high-level key words that summarize the overarching nature of the relationship, focusing on concepts or themes rather than specific details\nFormat each relationship as (\"relationship\"<|><|><|><|><|>)\n\n3. Identify high-level key words that summarize the main concepts, themes, or topics of the entire text. These should capture the overarching ideas present in the document.\nFormat the content-level key words as (\"content_keywords\"<|>)\n\n4. Return output in English as a single list of all the entities and relationships identified in steps 1 and 2. Use **##** as the list delimiter.\n\n5. When finished, output <|COMPLETE|>\n\n---Output---\n\nAdd them below using the same format:" } }, "hybrid": { @@ -81,6 +141,16 @@ "embedding_min": null, "embedding_max": null, "original_prompt": "三角形中两边之和大于第三边的证明" + }, + "ff86d9624db1f04a8ef2177981aa6747": { + "return": "{\"high_level_keywords\": [\"\\u4e09\\u89d2\\u5f62\\u51e0\\u4f55\", \"\\u89d2\\u5ea6\\u5173\\u7cfb\", \"\\u51e0\\u4f55\\u8bc1\\u660e\"], \"low_level_keywords\": [\"\\u4e09\\u89d2\\u5f62ABC\", \"\\u70b9P\", \"\\u2220BPC\", \"\\u2220A\", \"\\u5185\\u90e8\\u70b9\"]}", + "cache_type": "keywords", + "chunk_id": null, + "embedding": null, + "embedding_shape": null, + "embedding_min": null, + "embedding_max": null, + "original_prompt": "求证：在三角形ABC中，P为其内部任意一点。请证明：∠BPC > ∠A。" } } } \ No newline at end of file diff --git a/dsLightRag/Topic/JiHe/kv_store_text_chunks.json b/dsLightRag/Topic/JiHe/kv_store_text_chunks.json new file mode 100644 index 00000000..cfed1be8 --- /dev/null +++ b/dsLightRag/Topic/JiHe/kv_store_text_chunks.json @@ -0,0 +1,16 @@ +{ + "chunk-75b23a7e22383153b011bd3d121184f0": { + "tokens": 1200, + "content": "三角形三边关系的证明\n证明方法如下：\n作下图所示的三角形ABC。在三角形ABC中，[三角不等式](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E4%B8%89%E8%A7%92%E4%B8%8D%E7%AD%89%E5%BC%8F&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLkuInop5LkuI3nrYnlvI8iLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.rH6r8SvGmu-I9piEsmZfg2HjbXzUduYclZ2jfA3jZRs&zhida_source=entity)可以表示为|AB|+|BC|＞|AC|。\n![](./Images/868c80b8ff2547adb2d6b6c62c9b4c41/media/image1.png)\nheight=\"1.91044072615923in\"}\n①延长直线AB至点D，并使|BD|=|BC|，连接|DC|，那么三角形BCD为等腰三角形。所以∠BDC=∠BCD。\n②记它们均为α，根据[欧几里得第五公理](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97%E7%AC%AC%E4%BA%94%E5%85%AC%E7%90%86&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLmrKflh6Dph4zlvpfnrKzkupTlhaznkIYiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.ltcWsMYJv-ZzcuBaSjYN69JC8hnIyPMFsfhIlum4yqc&zhida_source=entity)，∠ACD大于角∠ADC(α)。\n③由于∠ACD的对边为AD，∠ADC(α)的对边为AC，所以根据大角对大边([几何原本](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E5%87%A0%E4%BD%95%E5%8E%9F%E6%9C%AC&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLlh6DkvZXljp_mnKwiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.Q1rCY0S2bj5Dwp3Fg7xb_VSFESz2_pCUETDybnHANvo&zhida_source=entity)中的命题19)就可以得到|AB|+|BC|=|AB|+|BD|=|AD|＞|AC|。\n求证：在三角形ABC中，P为其内部任意一点。请证明：∠BPC > ∠A。\n证明过程：\n![](./Images/868c80b8ff2547adb2d6b6c62c9b4c41/media/image2.png)\n延长BP交AC于D\n∵∠BPC是△PCD的一个外角，∠PDC是△BAD的一个外角\n∴∠BPC=∠PCD+∠PDC，∠PDC=∠DBA+∠A\n∴∠BPC=∠PCD+∠DBA", + "chunk_order_index": 0, + "full_doc_id": "doc-744d2f4e81528499ae55a82849ed415b", + "file_path": "unknown_source" + }, + "chunk-e2c7bd24a26246e194d4d56ab2ed22f1": { + "tokens": 115, + "content": "2d6b6c62c9b4c41/media/image2.png)\n延长BP交AC于D\n∵∠BPC是△PCD的一个外角，∠PDC是△BAD的一个外角\n∴∠BPC=∠PCD+∠PDC，∠PDC=∠DBA+∠A\n∴∠BPC=∠PCD+∠DBA+∠A\n∴∠BPC＞∠A", + "chunk_order_index": 1, + "full_doc_id": "doc-744d2f4e81528499ae55a82849ed415b", + "file_path": "unknown_source" + } +} \ No newline at end of file diff --git a/dsLightRag/Topic/JiHe/vdb_chunks.json b/dsLightRag/Topic/JiHe/vdb_chunks.json new file mode 100644 index 00000000..0e7e8c87 --- /dev/null +++ b/dsLightRag/Topic/JiHe/vdb_chunks.json @@ -0,0 +1 @@ +{"embedding_dim": 1024, "data": [{"__id__": "chunk-75b23a7e22383153b011bd3d121184f0", "__created_at__": 1752211461, "content": "三角形三边关系的证明\n证明方法如下：\n作下图所示的三角形ABC。在三角形ABC中，[三角不等式](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E4%B8%89%E8%A7%92%E4%B8%8D%E7%AD%89%E5%BC%8F&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLkuInop5LkuI3nrYnlvI8iLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.rH6r8SvGmu-I9piEsmZfg2HjbXzUduYclZ2jfA3jZRs&zhida_source=entity)可以表示为|AB|+|BC|＞|AC|。\n![](./Images/868c80b8ff2547adb2d6b6c62c9b4c41/media/image1.png)\nheight=\"1.91044072615923in\"}\n①延长直线AB至点D，并使|BD|=|BC|，连接|DC|，那么三角形BCD为等腰三角形。所以∠BDC=∠BCD。\n②记它们均为α，根据[欧几里得第五公理](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97%E7%AC%AC%E4%BA%94%E5%85%AC%E7%90%86&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLmrKflh6Dph4zlvpfnrKzkupTlhaznkIYiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.ltcWsMYJv-ZzcuBaSjYN69JC8hnIyPMFsfhIlum4yqc&zhida_source=entity)，∠ACD大于角∠ADC(α)。\n③由于∠ACD的对边为AD，∠ADC(α)的对边为AC，所以根据大角对大边([几何原本](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E5%87%A0%E4%BD%95%E5%8E%9F%E6%9C%AC&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLlh6DkvZXljp_mnKwiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.Q1rCY0S2bj5Dwp3Fg7xb_VSFESz2_pCUETDybnHANvo&zhida_source=entity)中的命题19)就可以得到|AB|+|BC|=|AB|+|BD|=|AD|＞|AC|。\n求证：在三角形ABC中，P为其内部任意一点。请证明：∠BPC > ∠A。\n证明过程：\n![](./Images/868c80b8ff2547adb2d6b6c62c9b4c41/media/image2.png)\n延长BP交AC于D\n∵∠BPC是△PCD的一个外角，∠PDC是△BAD的一个外角\n∴∠BPC=∠PCD+∠PDC，∠PDC=∠DBA+∠A\n∴∠BPC=∠PCD+∠DBA", "full_doc_id": "doc-744d2f4e81528499ae55a82849ed415b", "file_path": "unknown_source"}, {"__id__": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "__created_at__": 1752211461, "content": "2d6b6c62c9b4c41/media/image2.png)\n延长BP交AC于D\n∵∠BPC是△PCD的一个外角，∠PDC是△BAD的一个外角\n∴∠BPC=∠PCD+∠PDC，∠PDC=∠DBA+∠A\n∴∠BPC=∠PCD+∠DBA+∠A\n∴∠BPC＞∠A", "full_doc_id": "doc-744d2f4e81528499ae55a82849ed415b", "file_path": "unknown_source"}], "matrix": "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\ No newline at end of file diff --git a/dsLightRag/Topic/JiHe/vdb_entities.json b/dsLightRag/Topic/JiHe/vdb_entities.json new file mode 100644 index 00000000..be5b1405 --- /dev/null +++ b/dsLightRag/Topic/JiHe/vdb_entities.json @@ -0,0 +1 @@ +{"embedding_dim": 1024, "data": [{"__id__": "ent-043d3380caf00eb2310dd3faa6a84004", "__created_at__": 1752211508, "entity_name": "Triangle ABC", "content": "Triangle ABC\nTriangle ABC is the primary geometric figure used in the proof of the triangle inequality and angle relationships.", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "ent-2c9cf7515ca52c1738f9bde898fb527a", "__created_at__": 1752211508, "entity_name": "Point D", "content": "Point D\nPoint D is constructed by extending line AB and adding segment BD equal to BC, forming an isosceles triangle.", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "ent-0da27fee16f5a66aaa3b12733a1859a8", "__created_at__": 1752211508, "entity_name": "Point P", "content": "Point P\nPoint P is an arbitrary interior point of triangle ABC, used to demonstrate angle relationships.", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "ent-db5203dcd8d28444cb765e0a69fabc39", "__created_at__": 1752211508, "entity_name": "Euclid's Fifth Postulate", "content": "Euclid's Fifth Postulate\nEuclid's Fifth Postulate is referenced to justify angle comparisons in the geometric proof.", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "ent-81488909290e49f135623bf765840588", "__created_at__": 1752211508, "entity_name": "Proposition 19 of the Elements", "content": "Proposition 19 of the Elements\nProposition 19 from Euclid's Elements is cited to establish the relationship between angles and opposite sides in the proof.", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "ent-8ba3a27004f706af0260e986bc6a092f", "__created_at__": 1752211508, "entity_name": "三角形ABC", "content": "三角形ABC\n三角形ABC是证明三角形三边关系的核心几何图形，用于展示边与角的几何性质。", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "ent-8a5ebf15695060ebf00d53ab04833554", "__created_at__": 1752211508, "entity_name": "三角不等式", "content": "三角不等式\n三角不等式是几何学中描述三角形边长关系的基本定理，形式为|AB|+|BC|＞|AC|。", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "ent-c28aba2ebce9095cd8d78f1df53c3cbe", "__created_at__": 1752211508, "entity_name": "欧几里得第五公理", "content": "欧几里得第五公理\n欧几里得第五公理是几何学基础公理之一，用于证明角的大小关系。", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "ent-33baeb08781cf03b07b33ac6f4b4165b", "__created_at__": 1752211508, "entity_name": "几何原本", "content": "几何原本\n《几何原本》是欧几里得的经典数学著作，包含命题19等核心几何定理。", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "ent-9ac5593950faa90a93f1b5feec7e9295", "__created_at__": 1752211508, "entity_name": "命题19", "content": "命题19\n命题19指出‘大角对大边’，是三角形边角关系的关键依据。", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "ent-1c05bc513bda1ef4c9e16fbdd1e1776a", "__created_at__": 1752211508, "entity_name": "点D", "content": "点D\n点D是通过延长AB并添加BD=BC构造的辅助点，形成等腰三角形BCD。", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "ent-53f81d92778b193b6fdd66710857e1d7", "__created_at__": 1752211508, "entity_name": "点P", "content": "点P\n点P是三角形ABC内部的任意点，用于证明角∠BPC与角∠A的关系。", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "ent-96d4cdff8ed57e93e3b3d843cffe3af7", "__created_at__": 1752211508, "entity_name": "BP", "content": "BP\nBP is a geometric line segment intersecting AC at point D.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "ent-4144e097d2fa7a491cec2a7a4322f2bc", "__created_at__": 1752211508, "entity_name": "AC", "content": "AC\nAC is a geometric line segment intersected by BP at point D.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "ent-f623e75af30e62bbd73d6df5b50bb7b5", "__created_at__": 1752211508, "entity_name": "D", "content": "D\nD is the intersection point of BP and AC.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "ent-878558a0c2eb6eb671bbfd2afe6fffbe", "__created_at__": 1752211508, "entity_name": "∠BPC", "content": "∠BPC\n∠BPC is an angle formed at point P, exterior to triangle PCD.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "ent-c69c23c4d6a0f62cf8c806e672604277", "__created_at__": 1752211508, "entity_name": "∠PCD", "content": "∠PCD\n∠PCD is an angle within triangle PCD.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "ent-e822ff503b5b3d69f26d83cd5fd609c2", "__created_at__": 1752211508, "entity_name": "∠PDC", "content": "∠PDC\n∠PDC is an angle within triangle PCD and exterior to triangle BAD.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "ent-4d97ba9e66f17b798922f66ce8ffffaf", "__created_at__": 1752211508, "entity_name": "∠DBA", "content": "∠DBA\n∠DBA is an angle within triangle BAD.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "ent-a66673bc9ada03cd05582a6dedc42019", "__created_at__": 1752211508, "entity_name": "∠A", "content": "∠A\n∠A is an angle within triangle BAD.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "ent-581cb468263816a10d5d204a2a4f465a", "__created_at__": 1752211508, "entity_name": "△PCD", "content": "△PCD\n△PCD is a triangle formed by points P, C, and D, with ∠PCD and ∠PDC as its interior angles.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "ent-2f59ec3e44ad87ae299f0547f44dbf3a", "__created_at__": 1752211508, "entity_name": "△BAD", "content": "△BAD\n△BAD is a triangle formed by points B, A, and D, with ∠DBA and ∠A as its interior angles.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "ent-44c29edb103a2872f519ad0c9a0fdaaa", "__created_at__": 1752211508, "entity_name": "P", "content": "P\nP is a geometric point where BP originates and ∠BPC is formed.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "ent-9d5ed678fe57bcca610140957afab571", "__created_at__": 1752211508, "entity_name": "B", "content": "B\nB is a geometric point where BP originates and ∠DBA is formed.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "ent-0d61f8370cad1d412f80b84d143e1257", "__created_at__": 1752211508, "entity_name": "C", "content": "C\nC is a geometric point where AC terminates and ∠PCD is formed.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "ent-7fc56270e7a70fa81a5935b72eacbe29", "__created_at__": 1752211508, "entity_name": "A", "content": "A\nA is a geometric point where AC originates and ∠A is formed.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}], "matrix": 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\ No newline at end of file diff --git a/dsLightRag/Topic/JiHe/vdb_relationships.json b/dsLightRag/Topic/JiHe/vdb_relationships.json new file mode 100644 index 00000000..b5e63919 --- /dev/null +++ b/dsLightRag/Topic/JiHe/vdb_relationships.json @@ -0,0 +1 @@ +{"embedding_dim": 1024, "data": [{"__id__": "rel-bcfe4067a78db61c5e344a3c6067e9c1", "__created_at__": 1752211508, "src_id": "Point D", "tgt_id": "Triangle ABC", "content": "Point D\tTriangle ABC\ngeometric construction,triangle extension\nPoint D is constructed from triangle ABC by extending AB and adding segment BD equal to BC.", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "rel-34f26cf67f89c41e368f995769f3bee1", "__created_at__": 1752211508, "src_id": "Euclid's Fifth Postulate", "tgt_id": "Point D", "content": "Euclid's Fifth Postulate\tPoint D\nangle comparison,geometric proof\nEuclid's Fifth Postulate is used to compare angles in triangle ACD, which includes point D.", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "rel-469520e112344d64d841d843cec91e06", "__created_at__": 1752211508, "src_id": "Proposition 19 of the Elements", "tgt_id": "Triangle ABC", "content": "Proposition 19 of the Elements\tTriangle ABC\nangle-side relationship,geometric theorem\nProposition 19 is applied to triangle ABC to justify the relationship between angles and sides.", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "rel-5b3cdf18806473ee2a2fc55a7b0fd944", "__created_at__": 1752211508, "src_id": "Point P", "tgt_id": "Triangle ABC", "content": "Point P\tTriangle ABC\nangle proof,interior point\nPoint P is an interior point of triangle ABC, used to demonstrate angle relationships within the triangle.", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "rel-e3c9f606eb2d48c5e37f2c2d8bff69ed", "__created_at__": 1752211508, "src_id": "三角不等式", "tgt_id": "三角形ABC", "content": "三角不等式\t三角形ABC\n几何定理,边角关系\n三角不等式直接应用于三角形ABC的三边关系证明。", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "rel-f7bcf1a714c6122abc696165fc098924", "__created_at__": 1752211508, "src_id": "三角形ABC", "tgt_id": "欧几里得第五公理", "content": "三角形ABC\t欧几里得第五公理\n公理应用,角度推导\n第五公理用于比较三角形ACD中的角度，与三角形ABC的构造相关。", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "rel-6e53094235679e936c94ad45593f0f62", "__created_at__": 1752211508, "src_id": "几何原本", "tgt_id": "命题19", "content": "几何原本\t命题19\n定理引用,数学经典\n命题19源自《几何原本》，是证明边角关系的理论来源。", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "rel-37c38a5bb6bf0a593501536eddae56c6", "__created_at__": 1752211508, "src_id": "三角形ABC", "tgt_id": "命题19", "content": "三角形ABC\t命题19\n几何推理,边角逻辑\n命题19被用于证明三角形ABC中边AD与边AC的关系。", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "rel-37e6f8ce2b52adfdbedbf5458829145f", "__created_at__": 1752211508, "src_id": "三角形ABC", "tgt_id": "点D", "content": "三角形ABC\t点D\n几何扩展,辅助构造\n点D是三角形ABC的延伸构造，用于辅助证明边角不等式。", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "rel-6144c8f85132b7365b9799eef55d09c1", "__created_at__": 1752211508, "src_id": "三角形ABC", "tgt_id": "点P", "content": "三角形ABC\t点P\n内部角度,几何性质\n点P的存在证明了三角形内部点的角与顶角的关系。", "source_id": "chunk-75b23a7e22383153b011bd3d121184f0", "file_path": "unknown_source"}, {"__id__": "rel-c1933338c2519d138024b54332ba34fa", "__created_at__": 1752211508, "src_id": "AC", "tgt_id": "BP", "content": "AC\tBP\ngeometric construction,intersection\nBP intersects AC at point D, forming geometric relationships.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "rel-a0120be6d72710158ad1d7314522045b", "__created_at__": 1752211508, "src_id": "∠BPC", "tgt_id": "∠PCD", "content": "∠BPC\t∠PCD\nangle sum,exterior angle theorem\n∠BPC is the sum of ∠PCD and ∠PDC, showing an exterior angle relationship.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "rel-cf5059a963107eb6a8e684ceb0f895f6", "__created_at__": 1752211508, "src_id": "∠DBA", "tgt_id": "∠PDC", "content": "∠DBA\t∠PDC\nangle sum,exterior angle theorem\n∠PDC is the sum of ∠DBA and ∠A, demonstrating an exterior angle relationship.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "rel-cb833d7578b22e93fa2c5679a1be4194", "__created_at__": 1752211508, "src_id": "∠A", "tgt_id": "∠BPC", "content": "∠A\t∠BPC\nangle comparison,inequality\n∠BPC is greater than ∠A due to the sum of angles in the geometric proof.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "rel-ba10b682d306f5429797a188080b170e", "__created_at__": 1752211508, "src_id": "∠BPC", "tgt_id": "△PCD", "content": "∠BPC\t△PCD\nangle sum,exterior angle theorem\n∠BPC is an exterior angle of △PCD, equal to the sum of its non-adjacent interior angles.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "rel-8e0777902c21563fb266cf02dc90d159", "__created_at__": 1752211508, "src_id": "∠PDC", "tgt_id": "△BAD", "content": "∠PDC\t△BAD\nangle sum,exterior angle theorem\n∠PDC is an exterior angle of △BAD, equal to the sum of its non-adjacent interior angles.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "rel-f159e3b5b75d56b92e5123cc548f8e96", "__created_at__": 1752211508, "src_id": "BP", "tgt_id": "P", "content": "BP\tP\nangle formation,point-line connection\nP is the endpoint of BP where ∠BPC is formed.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "rel-a74bd30e168067c7a057365f82d805f4", "__created_at__": 1752211508, "src_id": "B", "tgt_id": "BP", "content": "B\tBP\nline origin,point-line connection\nB is the endpoint of BP where it originates.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "rel-c4fd1ef4041f00039def6df0331841de", "__created_at__": 1752211508, "src_id": "AC", "tgt_id": "C", "content": "AC\tC\nline termination,point-line connection\nC is the endpoint of AC where it terminates.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "rel-6409dac0c80c79ddf61858be7f2c699b", "__created_at__": 1752211508, "src_id": "A", "tgt_id": "AC", "content": "A\tAC\nline origin,point-line connection\nA is the endpoint of AC where it originates.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}, {"__id__": "rel-2298d7114aac2b273f06e6e633aed694", "__created_at__": 1752211508, "src_id": "△BAD", "tgt_id": "△PCD", "content": "△BAD\t△PCD\ngeometric proof,shared vertex\nBoth triangles share point D and are part of the geometric proof involving angle relationships.", "source_id": "chunk-e2c7bd24a26246e194d4d56ab2ed22f1", "file_path": "unknown_source"}], "matrix": 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"} 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a/dsLightRag/static/ai.html +++ b/dsLightRag/static/ai.html @@ -199,6 +199,9 @@
三角形中两边之和大于第三边的证明？
+
+ 求证：在三角形ABC中，P为其内部任意一点。请证明：∠BPC > ∠A。 +
苏轼的好朋友都有谁?
苏轼的家人都有谁?
苏轼有哪些有名的诗句?
diff --git a/dsLightRag/static/markdown/JiHe.md b/dsLightRag/static/markdown/JiHe.md index 523f830e..ba4c25e1 100644 --- a/dsLightRag/static/markdown/JiHe.md +++ b/dsLightRag/static/markdown/JiHe.md @@ -1,8 +1,16 @@ 三角形三边关系的证明 证明方法如下： 作下图所示的三角形ABC。在三角形ABC中，[三角不等式](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E4%B8%89%E8%A7%92%E4%B8%8D%E7%AD%89%E5%BC%8F&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLkuInop5LkuI3nrYnlvI8iLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.rH6r8SvGmu-I9piEsmZfg2HjbXzUduYclZ2jfA3jZRs&zhida_source=entity)可以表示为\|AB\|+\|BC\|＞\|AC\|。 -![](./Images/778094016d3642f2bc43eeaf1074cc38/media/image1.png) +![](./Images/868c80b8ff2547adb2d6b6c62c9b4c41/media/image1.png) height="1.91044072615923in"}\ ①延长直线AB至点D，并使\|BD\|=\|BC\|，连接\|DC\|，那么三角形BCD为等腰三角形。所以∠BDC=∠BCD。 ②记它们均为α，根据[欧几里得第五公理](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97%E7%AC%AC%E4%BA%94%E5%85%AC%E7%90%86&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLmrKflh6Dph4zlvpfnrKzkupTlhaznkIYiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.ltcWsMYJv-ZzcuBaSjYN69JC8hnIyPMFsfhIlum4yqc&zhida_source=entity)，∠ACD大于角∠ADC(α)。 ③由于∠ACD的对边为AD，∠ADC(α)的对边为AC，所以根据大角对大边([几何原本](https://zhida.zhihu.com/search?content_id=248217850&content_type=Article&match_order=1&q=%E5%87%A0%E4%BD%95%E5%8E%9F%E6%9C%AC&zd_token=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJ6aGlkYV9zZXJ2ZXIiLCJleHAiOjE3NTIzNzg0NDAsInEiOiLlh6DkvZXljp_mnKwiLCJ6aGlkYV9zb3VyY2UiOiJlbnRpdHkiLCJjb250ZW50X2lkIjoyNDgyMTc4NTAsImNvbnRlbnRfdHlwZSI6IkFydGljbGUiLCJtYXRjaF9vcmRlciI6MSwiemRfdG9rZW4iOm51bGx9.Q1rCY0S2bj5Dwp3Fg7xb_VSFESz2_pCUETDybnHANvo&zhida_source=entity)中的命题19)就可以得到\|AB\|+\|BC\|=\|AB\|+\|BD\|=\|AD\|＞\|AC\|。 +求证：在三角形ABC中，P为其内部任意一点。请证明：∠BPC \> ∠A。 +证明过程： +![](./Images/868c80b8ff2547adb2d6b6c62c9b4c41/media/image2.png) +延长BP交AC于D +∵∠BPC是△PCD的一个外角，∠PDC是△BAD的一个外角 +∴∠BPC=∠PCD+∠PDC，∠PDC=∠DBA+∠A +∴∠BPC=∠PCD+∠DBA+∠A +∴∠BPC＞∠A