You can not select more than 25 topics Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.

54 lines
69 KiB

This file contains ambiguous Unicode characters!

This file contains ambiguous Unicode characters that may be confused with others in your current locale. If your use case is intentional and legitimate, you can safely ignore this warning. Use the Escape button to highlight these characters.

{
"default:extract:909d79d50c760a23bf4ded56fa485448": {
"return": "(\"entity\"<|>\"BP\"<|>\"organization\"<|>\"BP is a line segment in the geometric problem, intersecting AC at point D.\")##\n(\"entity\"<|>\"AC\"<|>\"organization\"<|>\"AC is a line segment in the geometric problem, intersected by BP at point D.\")##\n(\"entity\"<|>\"D\"<|>\"person\"<|>\"Point D is the intersection point of BP and AC in the geometric problem.\")##\n(\"entity\"<|>\"∠BPC\"<|>\"category\"<|>\"∠BPC is an angle in the geometric problem, which is an exterior angle of triangle PCD.\")##\n(\"entity\"<|>\"∠PCD\"<|>\"category\"<|>\"∠PCD is an angle in the geometric problem, part of triangle PCD.\")##\n(\"entity\"<|>\"∠PDC\"<|>\"category\"<|>\"∠PDC is an angle in the geometric problem, which is an exterior angle of triangle BAD.\")##\n(\"entity\"<|>\"∠DBA\"<|>\"category\"<|>\"∠DBA is an angle in the geometric problem, part of triangle BAD.\")##\n(\"entity\"<|>\"∠A\"<|>\"category\"<|>\"∠A is an angle in the geometric problem, part of triangle BAD.\")##\n(\"relationship\"<|>\"BP\"<|>\"AC\"<|>\"BP intersects AC at point D in the geometric problem.\"<|>\"intersection, geometric relationship\"<|>8)##\n(\"relationship\"<|>\"∠BPC\"<|>\"∠PCD\"<|>\"∠BPC is an exterior angle of triangle PCD, which includes ∠PCD.\"<|>\"angle relationship, exterior angle\"<|>9)##\n(\"relationship\"<|>\"∠PDC\"<|>\"∠DBA\"<|>\"∠PDC is an exterior angle of triangle BAD, which includes ∠DBA.\"<|>\"angle relationship, exterior angle\"<|>9)##\n(\"relationship\"<|>\"∠BPC\"<|>\"∠A\"<|>\"∠BPC is greater than ∠A in the geometric problem.\"<|>\"angle comparison, inequality\"<|>7)##\n(\"content_keywords\"<|>\"geometry, angles, triangles, exterior angles, intersection\")<|COMPLETE|>",
"cache_type": "extract",
"chunk_id": "chunk-f24190139d17b1c4d499b9516ffb8a4f",
"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\"<|><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:\nmediaimage2.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:",
"create_time": 1753235696,
"update_time": 1753235696,
"_id": "default:extract:909d79d50c760a23bf4ded56fa485448"
},
"default:extract:db6591bfba09a53151238cd36c261f81": {
"return": "(\"entity\"<|>\"三角形ABC\"<|>\"category\"<|>\"A geometric figure used in the proof of the triangle inequality and angle relationships.\")##\n(\"entity\"<|>\"三角不等式\"<|>\"category\"<|>\"A mathematical inequality stating that the sum of any two sides of a triangle is greater than the third side.\")##\n(\"entity\"<|>\"欧几里得第五公理\"<|>\"category\"<|>\"A fundamental postulate in Euclidean geometry, also known as the parallel postulate.\")##\n(\"entity\"<|>\"几何原本\"<|>\"category\"<|>\"A foundational mathematical text by Euclid, containing definitions, postulates, and propositions.\")##\n(\"entity\"<|>\"点D\"<|>\"category\"<|>\"A constructed point in the proof, used to demonstrate the triangle inequality.\")##\n(\"entity\"<|>\"点P\"<|>\"category\"<|>\"An arbitrary internal point in triangle ABC, used to prove angle relationships.\")##\n(\"relationship\"<|>\"三角形ABC\"<|>\"三角不等式\"<|>\"The triangle ABC is used to demonstrate the triangle inequality, showing |AB|+|BC|>|AC|.\"<|>\"geometric proof, inequality\"<|>8)##\n(\"relationship\"<|>\"欧几里得第五公理\"<|>\"三角不等式\"<|>\"Euclid's fifth postulate is applied in the proof to establish angle relationships supporting the triangle inequality.\"<|>\"mathematical foundation, angle comparison\"<|>7)##\n(\"relationship\"<|>\"几何原本\"<|>\"三角不等式\"<|>\"The proof references Proposition 19 from Euclid's Elements to justify the relationship between angles and sides.\"<|>\"historical reference, geometric principles\"<|>9)##\n(\"relationship\"<|>\"点D\"<|>\"三角形ABC\"<|>\"Point D is constructed within the proof to extend AB and create an isosceles triangle, aiding in the demonstration of the triangle inequality.\"<|>\"construction, geometric manipulation\"<|>6)##\n(\"relationship\"<|>\"点P\"<|>\"三角形ABC\"<|>\"Point P is an arbitrary internal point used to prove that ∠BPC > ∠A, demonstrating angle relationships within the triangle.\"<|>\"angle proof, internal point\"<|>7)##\n(\"content_keywords\"<|>\"geometry, triangle inequality, Euclidean geometry, angle proof, mathematical proof\")<|COMPLETE|>",
"cache_type": "extract",
"chunk_id": "chunk-4ed981658aa2a32c616f4cf86c4efbaa",
"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\"<|><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![](staticImagesa6e9150381564825b2d71c00d4480801mediaimage1.png)\nheight=\"1.90625in\"}\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![](staticImagesa6e9150381564825b2d71c00d4480801mediaimage2.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<43>\n######################\nOutput:",
"create_time": 1753235700,
"update_time": 1753235700,
"_id": "default:extract:db6591bfba09a53151238cd36c261f81"
},
"default:extract:7ab1525d6e82a49f92128c756723320d": {
"return": "(\"entity\"<|>\"BP\"<|>\"organization\"<|>\"BP is a line segment in the geometric proof that intersects AC at point D.\")##\n(\"entity\"<|>\"AC\"<|>\"organization\"<|>\"AC is a line segment in the geometric proof that is intersected by BP at point D.\")##\n(\"entity\"<|>\"D\"<|>\"person\"<|>\"Point D is the intersection point of BP and AC in the geometric proof.\")##\n(\"entity\"<|>\"△PCD\"<|>\"category\"<|>\"Triangle PCD is a geometric figure in the proof where ∠BPC is an exterior angle.\")##\n(\"entity\"<|>\"△BAD\"<|>\"category\"<|>\"Triangle BAD is a geometric figure in the proof where ∠PDC is an exterior angle.\")##\n(\"entity\"<|>\"∠BPC\"<|>\"category\"<|>\"Angle BPC is an exterior angle of triangle PCD in the geometric proof.\")##\n(\"entity\"<|>\"∠PCD\"<|>\"category\"<|>\"Angle PCD is an interior angle of triangle PCD in the geometric proof.\")##\n(\"entity\"<|>\"∠PDC\"<|>\"category\"<|>\"Angle PDC is an exterior angle of triangle BAD in the geometric proof.\")##\n(\"entity\"<|>\"∠DBA\"<|>\"category\"<|>\"Angle DBA is an interior angle of triangle BAD in the geometric proof.\")##\n(\"entity\"<|>\"∠A\"<|>\"category\"<|>\"Angle A is an interior angle of triangle BAD in the geometric proof.\")##\n(\"relationship\"<|>\"BP\"<|>\"AC\"<|>\"BP intersects AC at point D, forming the basis for the geometric proof.\"<|>\"intersection, geometric construction\"<|>9)##\n(\"relationship\"<|>\"BP\"<|>\"D\"<|>\"BP passes through point D, which is the intersection with AC.\"<|>\"line-point relationship\"<|>8)##\n(\"relationship\"<|>\"AC\"<|>\"D\"<|>\"AC passes through point D, which is the intersection with BP.\"<|>\"line-point relationship\"<|>8)##\n(\"relationship\"<|>\"∠BPC\"<|>\"△PCD\"<|>\"∠BPC is an exterior angle of triangle PCD in the geometric proof.\"<|>\"angle-triangle relationship\"<|>9)##\n(\"relationship\"<|>\"∠PDC\"<|>\"△BAD\"<|>\"∠PDC is an exterior angle of triangle BAD in the geometric proof.\"<|>\"angle-triangle relationship\"<|>9)##\n(\"relationship\"<|>\"∠BPC\"<|>\"∠PCD\"<|>\"∠BPC equals the sum of ∠PCD and ∠PDC according to the exterior angle theorem.\"<|>\"angle equality, exterior angle theorem\"<|>10)##\n(\"relationship\"<|>\"∠PDC\"<|>\"∠DBA\"<|>\"∠PDC equals the sum of ∠DBA and ∠A according to the exterior angle theorem.\"<|>\"angle equality, exterior angle theorem\"<|>10)##\n(\"relationship\"<|>\"∠BPC\"<|>\"∠A\"<|>\"∠BPC is proven to be greater than ∠A in the final conclusion of the proof.\"<|>\"angle inequality, proof conclusion\"<|>9)##\n(\"relationship\"<|>\"△PCD\"<|>\"△BAD\"<|>\"Both triangles share point D and are connected through the intersecting lines BP and AC.\"<|>\"geometric connection, shared point\"<|>7)##\n(\"content_keywords\"<|>\"geometry proof, exterior angle theorem, triangle relationships, angle inequalities, intersection points\")<|COMPLETE|>",
"cache_type": "extract",
"chunk_id": "chunk-f24190139d17b1c4d499b9516ffb8a4f",
"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\\\"<|><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:\\nmediaimage2.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\\\"<|>\\\"organization\\\"<|>\\\"BP is a line segment in the geometric problem, intersecting AC at point D.\\\")##\\n(\\\"entity\\\"<|>\\\"AC\\\"<|>\\\"organization\\\"<|>\\\"AC is a line segment in the geometric problem, intersected by BP at point D.\\\")##\\n(\\\"entity\\\"<|>\\\"D\\\"<|>\\\"person\\\"<|>\\\"Point D is the intersection point of BP and AC in the geometric problem.\\\")##\\n(\\\"entity\\\"<|>\\\"∠BPC\\\"<|>\\\"category\\\"<|>\\\"∠BPC is an angle in the geometric problem, which is an exterior angle of triangle PCD.\\\")##\\n(\\\"entity\\\"<|>\\\"∠PCD\\\"<|>\\\"category\\\"<|>\\\"∠PCD is an angle in the geometric problem, part of triangle PCD.\\\")##\\n(\\\"entity\\\"<|>\\\"∠PDC\\\"<|>\\\"category\\\"<|>\\\"∠PDC is an angle in the geometric problem, which is an exterior angle of triangle BAD.\\\")##\\n(\\\"entity\\\"<|>\\\"∠DBA\\\"<|>\\\"category\\\"<|>\\\"∠DBA is an angle in the geometric problem, part of triangle BAD.\\\")##\\n(\\\"entity\\\"<|>\\\"∠A\\\"<|>\\\"category\\\"<|>\\\"∠A is an angle in the geometric problem, part of triangle BAD.\\\")##\\n(\\\"relationship\\\"<|>\\\"BP\\\"<|>\\\"AC\\\"<|>\\\"BP intersects AC at point D in the geometric problem.\\\"<|>\\\"intersection, geometric relationship\\\"<|>8)##\\n(\\\"relationship\\\"<|>\\\"∠BPC\\\"<|>\\\"∠PCD\\\"<|>\\\"∠BPC is an exterior angle of triangle PCD, which includes ∠PCD.\\\"<|>\\\"angle relationship, exterior angle\\\"<|>9)##\\n(\\\"relationship\\\"<|>\\\"∠PDC\\\"<|>\\\"∠DBA\\\"<|>\\\"∠PDC is an exterior angle of triangle BAD, which includes ∠DBA.\\\"<|>\\\"angle relationship, exterior angle\\\"<|>9)##\\n(\\\"relationship\\\"<|>\\\"∠BPC\\\"<|>\\\"∠A\\\"<|>\\\"∠BPC is greater than ∠A in the geometric problem.\\\"<|>\\\"angle comparison, inequality\\\"<|>7)##\\n(\\\"content_keywords\\\"<|>\\\"geometry, angles, triangles, exterior angles, intersection\\\")<|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:",
"create_time": 1753235738,
"update_time": 1753235738,
"_id": "default:extract:7ab1525d6e82a49f92128c756723320d"
},
"default:extract:c0db19f03c10c49ca07645f32bb0949b": {
"return": "(\"entity\"<|>\"三角形ABC\"<|>\"category\"<|>\"A geometric figure used in mathematical proofs involving triangle inequality and angle relationships.\")##\n(\"entity\"<|>\"三角不等式\"<|>\"category\"<|>\"A fundamental geometric principle stating the sum of any two sides of a triangle must exceed the third side.\")##\n(\"entity\"<|>\"欧几里得第五公理\"<|>\"category\"<|>\"Euclid's parallel postulate about intersecting lines when crossed by a transversal.\")##\n(\"entity\"<|>\"几何原本\"<|>\"category\"<|>\"Euclid's foundational work containing axiomatic geometry and mathematical proofs.\")##\n(\"entity\"<|>\"点D\"<|>\"category\"<|>\"Constructed point forming isosceles triangle BCD in the inequality proof.\")##\n(\"entity\"<|>\"点P\"<|>\"category\"<|>\"Arbitrary interior point used to demonstrate angle relationships in triangle ABC.\")##\n(\"entity\"<|>\"直线AB\"<|>\"category\"<|>\"Extended line segment in the construction for proving triangle inequality.\")##\n(\"entity\"<|>\"线段DC\"<|>\"category\"<|>\"Constructed line segment forming triangle BCD in the proof.\")##\n(\"entity\"<|>\"角∠BDC\"<|>\"category\"<|>\"Angle in isosceles triangle BCD equal to ∠BCD.\")##\n(\"entity\"<|>\"角∠ACD\"<|>\"category\"<|>\"Angle compared to ∠ADC in the inequality proof.\")##\n(\"entity\"<|>\"边AD\"<|>\"category\"<|>\"Constructed side demonstrating the triangle inequality |AD|>|AC|.\")##\n(\"entity\"<|>\"边AC\"<|>\"category\"<|>\"Triangle side compared in the inequality proof.\")##\n(\"relationship\"<|>\"三角形ABC\"<|>\"三角不等式\"<|>\"The triangle serves as the basis for demonstrating the inequality |AB|+|BC|>|AC|.\"<|>\"geometric proof, inequality demonstration\"<|>9)##\n(\"relationship\"<|>\"欧几里得第五公理\"<|>\"几何原本\"<|>\"The fifth postulate is one of the foundational elements in Euclid's Elements.\"<|>\"mathematical foundation, axiomatic system\"<|>8)##\n(\"relationship\"<|>\"点D\"<|>\"直线AB\"<|>\"Point D is constructed by extending line AB to create the proof's geometric configuration.\"<|>\"geometric construction, proof technique\"<|>7)##\n(\"relationship\"<|>\"线段DC\"<|>\"三角形BCD\"<|>\"Segment DC forms one side of the constructed isosceles triangle BCD.\"<|>\"geometric formation, auxiliary construction\"<|>8)##\n(\"relationship\"<|>\"角∠BDC\"<|>\"角∠BCD\"<|>\"These angles are equal in measure due to the isosceles property of triangle BCD.\"<|>\"angle equality, isosceles properties\"<|>9)##\n(\"relationship\"<|>\"角∠ACD\"<|>\"角∠ADC\"<|>\"Euclid's fifth postulate establishes that ∠ACD > ∠ADC in this configuration.\"<|>\"angle comparison, Euclidean principles\"<|>8)##\n(\"relationship\"<|>\"边AD\"<|>\"边AC\"<|>\"The constructed length AD demonstrates the triangle inequality by exceeding AC.\"<|>\"length comparison, inequality proof\"<|>9)##\n(\"relationship\"<|>\"点P\"<|>\"三角形ABC\"<|>\"Point P is used to examine internal angle relationships within the triangle.\"<|>\"interior point analysis, angle properties\"<|>7)##\n(\"relationship\"<|>\"几何原本\"<|>\"三角不等式\"<|>\"Euclid's Elements contains propositions that support the triangle inequality proof.\"<|>\"historical reference, mathematical derivation\"<|>8)##\n(\"content_keywords\"<|>\"Euclidean geometry, triangle inequality, geometric proofs, angle relationships, mathematical construction\")<|COMPLETE|>",
"cache_type": "extract",
"chunk_id": "chunk-4ed981658aa2a32c616f4cf86c4efbaa",
"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\\\"<|><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![](staticImagesa6e9150381564825b2d71c00d4480801mediaimage1.png)\\nheight=\\\"1.90625in\\\"}\\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![](staticImagesa6e9150381564825b2d71c00d4480801mediaimage2.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<43>\\n######################\\nOutput:\"}, {\"role\": \"assistant\", \"content\": \"(\\\"entity\\\"<|>\\\"三角形ABC\\\"<|>\\\"category\\\"<|>\\\"A geometric figure used in the proof of the triangle inequality and angle relationships.\\\")##\\n(\\\"entity\\\"<|>\\\"三角不等式\\\"<|>\\\"category\\\"<|>\\\"A mathematical inequality stating that the sum of any two sides of a triangle is greater than the third side.\\\")##\\n(\\\"entity\\\"<|>\\\"欧几里得第五公理\\\"<|>\\\"category\\\"<|>\\\"A fundamental postulate in Euclidean geometry, also known as the parallel postulate.\\\")##\\n(\\\"entity\\\"<|>\\\"几何原本\\\"<|>\\\"category\\\"<|>\\\"A foundational mathematical text by Euclid, containing definitions, postulates, and propositions.\\\")##\\n(\\\"entity\\\"<|>\\\"点D\\\"<|>\\\"category\\\"<|>\\\"A constructed point in the proof, used to demonstrate the triangle inequality.\\\")##\\n(\\\"entity\\\"<|>\\\"点P\\\"<|>\\\"category\\\"<|>\\\"An arbitrary internal point in triangle ABC, used to prove angle relationships.\\\")##\\n(\\\"relationship\\\"<|>\\\"三角形ABC\\\"<|>\\\"三角不等式\\\"<|>\\\"The triangle ABC is used to demonstrate the triangle inequality, showing |AB|+|BC|>|AC|.\\\"<|>\\\"geometric proof, inequality\\\"<|>8)##\\n(\\\"relationship\\\"<|>\\\"欧几里得第五公理\\\"<|>\\\"三角不等式\\\"<|>\\\"Euclid's fifth postulate is applied in the proof to establish angle relationships supporting the triangle inequality.\\\"<|>\\\"mathematical foundation, angle comparison\\\"<|>7)##\\n(\\\"relationship\\\"<|>\\\"几何原本\\\"<|>\\\"三角不等式\\\"<|>\\\"The proof references Proposition 19 from Euclid's Elements to justify the relationship between angles and sides.\\\"<|>\\\"historical reference, geometric principles\\\"<|>9)##\\n(\\\"relationship\\\"<|>\\\"点D\\\"<|>\\\"三角形ABC\\\"<|>\\\"Point D is constructed within the proof to extend AB and create an isosceles triangle, aiding in the demonstration of the triangle inequality.\\\"<|>\\\"construction, geometric manipulation\\\"<|>6)##\\n(\\\"relationship\\\"<|>\\\"点P\\\"<|>\\\"三角形ABC\\\"<|>\\\"Point P is an arbitrary internal point used to prove that ∠BPC > ∠A, demonstrating angle relationships within the triangle.\\\"<|>\\\"angle proof, internal point\\\"<|>7)##\\n(\\\"content_keywords\\\"<|>\\\"geometry, triangle inequality, Euclidean geometry, angle proof, 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\"<|><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:",
"create_time": 1753235747,
"update_time": 1753235747,
"_id": "default:extract:c0db19f03c10c49ca07645f32bb0949b"
}
}