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      "return": "(\"entity\"<|>\"Triangle ABC\"<|>\"geo\"<|>\"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 fundamental principle in geometry, used here to compare angles and sides in the proof.\")##\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, showing the relationship between its sides.\"<|>\"geometric proof, inequality\"<|>9)##\n(\"relationship\"<|>\"Euclid's Fifth Postulate\"<|>\"Proposition 19\"<|>\"Euclid's Fifth Postulate is used alongside Proposition 19 to establish the relationship between angles and sides in the proof.\"<|>\"geometric principles, angle-side relationship\"<|>8)##\n(\"relationship\"<|>\"Triangle Inequality\"<|>\"Proposition 19\"<|>\"Proposition 19 is applied to prove the triangle inequality by comparing angles and corresponding sides.\"<|>\"proof technique, geometric logic\"<|>7)##\n(\"content_keywords\"<|>\"geometry, triangle inequality, Euclid's Elements, proof, angles and sides\")<|COMPLETE|>",
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      "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\"<|><entity_name><|><entity_type><|><entity_description>)\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\"<|><source_entity><|><target_entity><|><relationship_description><|><relationship_keywords><|><relationship_strength>)\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\"<|><high_level_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/7a1f3e68c9234e8d87deca2b32a13f20/media/image1.png)\nheight=\"2.8183694225721783in\"}\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:"
    },
    "2e675f48b286783837db3691b44f16d1": {
      "return": "(\"entity\"<|>\"三角形ABC\"<|>\"geo\"<|>\"三角形ABC is the specific triangle used to demonstrate the geometric proof of the triangle inequality theorem.\")##\n(\"entity\"<|>\"三角不等式\"<|>\"category\"<|>\"三角不等式 (Triangle Inequality) is a fundamental theorem in geometry stating that the sum of any two sides of a triangle must be greater than the third side.\")##\n(\"entity\"<|>\"欧几里得第五公理\"<|>\"category\"<|>\"欧几里得第五公理 (Euclid's Fifth Postulate) is a classical geometric principle used in this proof to compare angles.\")##\n(\"entity\"<|>\"几何原本\"<|>\"category\"<|>\"几何原本 (Elements of Geometry) is Euclid's foundational mathematical work containing Proposition 19, referenced in this proof.\")##\n(\"entity\"<|>\"命题19\"<|>\"category\"<|>\"命题19 (Proposition 19) states that in any triangle, the greater angle is subtended by the greater side, used in this proof.\")##\n(\"entity\"<|>\"点D\"<|>\"geo\"<|>\"点D (Point D) is an auxiliary point constructed in the proof by extending side AB to create an isosceles triangle.\")##\n(\"entity\"<|>\"等腰三角形BCD\"<|>\"geo\"<|>\"等腰三角形BCD (Isosceles Triangle BCD) is formed in the proof construction, showing equal angles at its base.\")##\n(\"relationship\"<|>\"三角形ABC\"<|>\"三角不等式\"<|>\"The proof uses triangle ABC to demonstrate the triangle inequality theorem through geometric construction.\"<|>\"geometric proof, inequality demonstration\"<|>9)##\n(\"relationship\"<|>\"欧几里得第五公理\"<|>\"命题19\"<|>\"Euclid's Fifth Postulate is used to establish angle comparisons that lead to the application of Proposition 19 in the proof.\"<|>\"geometric principles, logical progression\"<|>8)##\n(\"relationship\"<|>\"三角形ABC\"<|>\"点D\"<|>\"Point D is constructed from triangle ABC by extending side AB to create additional geometric relationships.\"<|>\"geometric construction, auxiliary point\"<|>7)##\n(\"relationship\"<|>\"等腰三角形BCD\"<|>\"命题19\"<|>\"The isosceles triangle BCD's angle properties enable the application of Proposition 19 regarding angle-side relationships.\"<|>\"angle properties, proof technique\"<|>8)##\n(\"relationship\"<|>\"三角不等式\"<|>\"几何原本\"<|>\"The triangle inequality proof references Euclid's Elements (几何原本) as the source of foundational geometric propositions.\"<|>\"historical reference, mathematical foundation\"<|>7)##\n(\"content_keywords\"<|>\"geometry, triangle inequality, Euclidean geometry, proof techniques, angle-side relationships\")<|COMPLETE|>",
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      "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\\\"<|><entity_name><|><entity_type><|><entity_description>)\\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\\\"<|><source_entity><|><target_entity><|><relationship_description><|><relationship_keywords><|><relationship_strength>)\\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\\\"<|><high_level_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/7a1f3e68c9234e8d87deca2b32a13f20/media/image1.png)\\nheight=\\\"2.8183694225721783in\\\"}\\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\\\"<|>\\\"geo\\\"<|>\\\"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 fundamental principle in geometry, used here to compare angles and sides in the proof.\\\")##\\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, showing the relationship between its sides.\\\"<|>\\\"geometric proof, inequality\\\"<|>9)##\\n(\\\"relationship\\\"<|>\\\"Euclid's Fifth Postulate\\\"<|>\\\"Proposition 19\\\"<|>\\\"Euclid's Fifth Postulate is used alongside Proposition 19 to establish the relationship between angles and sides in the proof.\\\"<|>\\\"geometric principles, angle-side relationship\\\"<|>8)##\\n(\\\"relationship\\\"<|>\\\"Triangle Inequality\\\"<|>\\\"Proposition 19\\\"<|>\\\"Proposition 19 is applied to prove the triangle inequality by comparing angles and corresponding sides.\\\"<|>\\\"proof technique, geometric logic\\\"<|>7)##\\n(\\\"content_keywords\\\"<|>\\\"geometry, triangle inequality, Euclid's Elements, proof, angles and sides\\\")<|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\"<|><entity_name><|><entity_type><|><entity_description>)\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\"<|><source_entity><|><target_entity><|><relationship_description><|><relationship_keywords><|><relationship_strength>)\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\"<|><high_level_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:"
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      "original_prompt": "三角形两边之和大于第三边的证明"
    }
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}