{ "query": "You are a super intelligent assistant. Please answer all my questions precisely and comprehensively.\n\nThrough our system KIOS you have a Knowledge Base named 10-2 with all the informations that the user requests. In this knowledge base are following Documents Algebraic%20Topology%20AT-toc.pdf, An%20Introduction%20to%20the%20Theory%20of%20Numbers%20-%20Leo%20Moser%20%28PDF%29.pdf, Algorithms%20and%20Complexity%20-%20Herbert%20S.%20Wilf%20%28PDF%29.pdf\n\nThis is the initial message to start the chat. Based on the following summary/context you should formulate an initial message greeting the user with the following user name [Gender] [Vorname] [Surname] tell them that you are the AI Chatbot Simon using the Large Language Model [Used Model] to answer all questions.\n\nFormulate the initial message in the Usersettings Language German\n\nPlease use the following context to suggest some questions or topics to chat about this knowledge base. List at least 3-10 possible topics or suggestions up and use emojis. The chat should be professional and in business terms. At the end ask an open question what the user would like to check on the list. Please keep the wildcards incased in brackets and make it easy to replace the wildcards. \n\n The provided context consists of two PDF files: \"Algebraic Topology AT-toc.pdf\" and \"An Introduction to the Theory of Numbers - Leo Moser (PDF).pdf\". \n\n**Algebraic Topology AT-toc.pdf**\n\nThis file is the table of contents for a book on Algebraic Topology by Allen Hatcher. It outlines the chapters and sections covered in the book, including:\n\n- **Chapter 0: Preliminaries**\n- **Chapter 1: Homotopy**\n- **Chapter 2: Homology**\n- **Chapter 3: Cohomology**\n- **Chapter 4: Homotopy Theory**\n\nThe preface discusses the book's approach, emphasizing geometric aspects of algebraic topology and the use of CW complexes. It also mentions the availability of the book online and a list of corrections.\n\nThe file also includes a section on standard notations used in the book, defining various mathematical terms and symbols.\n\n**An Introduction to the Theory of Numbers - Leo Moser (PDF).pdf**\n\nThis file is a collection of lecture notes on elementary number theory by Leo Moser. It covers various topics, including:\n\n- **Compositions and Partitions:** Discusses different ways to represent a number as a sum, considering order and non-order of terms.\n- **Arithmetic Functions:** Introduces various arithmetic functions like the M\u00f6bius function, the divisor function, and the Euler totient function, exploring their properties and relationships.\n- **Distribution of Primes:** Examines the distribution of prime numbers, proving the divergence of the sum of reciprocals of primes and outlining the proof of Chebyshev's theorem.\n- **Irrational Numbers:** Discusses the irrationality of various numbers like \\(\\sqrt{2}\\), \\(\\log_2 2\\), and \\(\\cos(1\u00b0)\\).\n- **Congruences:** Explores the theory of divisibility and congruences, including Euler's theorem and the concept of quadratic residues.\n- **Diophantine Equations:** Examines equations involving integers, specifically focusing on the equation \\( 1^n + 2^n + \\ldots + (m - 1)^n = m^n \\).\n- **Combinatorial Number Theory:** Discusses problems that bridge number theory and combinatorial analysis, including Schur's theorem and the distribution of integers in specific sequences.\n- **Geometry of Numbers:** Introduces the fundamental theorem of Minkowski and its applications in number theory and geometry.\n\nThe preface outlines the scope of the lectures, emphasizing the accessibility of the material and the ease of finding unsolved problems in number theory.\n\nThe file concludes with a list of classical unsolved problems in number theory, including Goldbach's conjecture, Euler's conjecture, and the twin prime conjecture. It also includes a section on miscellaneous problems and conjectures, covering various topics like arithmetic functions, sequences, and geometric properties.\n\nThe document is distributed under a Creative Commons Attribution 4.0 International (CC BY 4.0) license, allowing for free sharing and adaptation with attribution.\n", "namespace": "924dbc22-31b1-4285-ad02-9f10843c9937", "messages": [], "stream": false, "language_level": "", "chat_channel": "", "language": "German", "tone": "neutral", "writing_style": "standard", "model": "gemini-1.5-flash", "knowledgebase": "ki-dev-large", "seed": 0, "client_id": 0, "all_context": true, "follow_up_for": null, "knowledgebase_files_count": 0, "override_command": "", "disable_clarity_check": true, "custom_primer": "", "logging": true, "query_route": "" } INITIALIZATION Knowledgebase: ki-dev-large Base Query: You are a super intelligent assistant. Please answer all my questions precisely and comprehensively. Through our system KIOS you have a Knowledge Base named 10-2 with all the informations that the user requests. In this knowledge base are following Documents Algebraic%20Topology%20AT-toc.pdf, An%20Introduction%20to%20the%20Theory%20of%20Numbers%20-%20Leo%20Moser%20%28PDF%29.pdf, Algorithms%20and%20Complexity%20-%20Herbert%20S.%20Wilf%20%28PDF%29.pdf This is the initial message to start the chat. Based on the following summary/context you should formulate an initial message greeting the user with the following user name [Gender] [Vorname] [Surname] tell them that you are the AI Chatbot Simon using the Large Language Model [Used Model] to answer all questions. Formulate the initial message in the Usersettings Language German Please use the following context to suggest some questions or topics to chat about this knowledge base. List at least 3-10 possible topics or suggestions up and use emojis. The chat should be professional and in business terms. At the end ask an open question what the user would like to check on the list. Please keep the wildcards incased in brackets and make it easy to replace the wildcards. The provided context consists of two PDF files: "Algebraic Topology AT-toc.pdf" and "An Introduction to the Theory of Numbers - Leo Moser (PDF).pdf". **Algebraic Topology AT-toc.pdf** This file is the table of contents for a book on Algebraic Topology by Allen Hatcher. It outlines the chapters and sections covered in the book, including: - **Chapter 0: Preliminaries** - **Chapter 1: Homotopy** - **Chapter 2: Homology** - **Chapter 3: Cohomology** - **Chapter 4: Homotopy Theory** The preface discusses the book's approach, emphasizing geometric aspects of algebraic topology and the use of CW complexes. It also mentions the availability of the book online and a list of corrections. The file also includes a section on standard notations used in the book, defining various mathematical terms and symbols. **An Introduction to the Theory of Numbers - Leo Moser (PDF).pdf** This file is a collection of lecture notes on elementary number theory by Leo Moser. It covers various topics, including: - **Compositions and Partitions:** Discusses different ways to represent a number as a sum, considering order and non-order of terms. - **Arithmetic Functions:** Introduces various arithmetic functions like the Möbius function, the divisor function, and the Euler totient function, exploring their properties and relationships. - **Distribution of Primes:** Examines the distribution of prime numbers, proving the divergence of the sum of reciprocals of primes and outlining the proof of Chebyshev's theorem. - **Irrational Numbers:** Discusses the irrationality of various numbers like \(\sqrt{2}\), \(\log_2 2\), and \(\cos(1°)\). - **Congruences:** Explores the theory of divisibility and congruences, including Euler's theorem and the concept of quadratic residues. - **Diophantine Equations:** Examines equations involving integers, specifically focusing on the equation \( 1^n + 2^n + \ldots + (m - 1)^n = m^n \). - **Combinatorial Number Theory:** Discusses problems that bridge number theory and combinatorial analysis, including Schur's theorem and the distribution of integers in specific sequences. - **Geometry of Numbers:** Introduces the fundamental theorem of Minkowski and its applications in number theory and geometry. The preface outlines the scope of the lectures, emphasizing the accessibility of the material and the ease of finding unsolved problems in number theory. The file concludes with a list of classical unsolved problems in number theory, including Goldbach's conjecture, Euler's conjecture, and the twin prime conjecture. It also includes a section on miscellaneous problems and conjectures, covering various topics like arithmetic functions, sequences, and geometric properties. The document is distributed under a Creative Commons Attribution 4.0 International (CC BY 4.0) license, allowing for free sharing and adaptation with attribution. Model: gemini-1.5-flash **Elapsed Time: 0.00 seconds** ROUTING Query type: simple_conversation **Elapsed Time: 1.73 seconds** PRIMER Primer: You are Simon, a highly intelligent personal assistant in a system called KIOS. You are a chatbot that can read knowledgebases through the "CONTEXT" that is included in the user's chat message. You are a conversational bot, an intelligent system designed to interact with the user. Respond courteously to the message of the user. To keep the conversation going, ask the user if there is any specific information they would like to know at the end of your message. **Elapsed Time: 0.00 seconds** FINAL QUERY Final Query: You are a super intelligent assistant. Please answer all my questions precisely and comprehensively. Through our system KIOS you have a Knowledge Base named 10-2 with all the informations that the user requests. In this knowledge base are following Documents Algebraic%20Topology%20AT-toc.pdf, An%20Introduction%20to%20the%20Theory%20of%20Numbers%20-%20Leo%20Moser%20%28PDF%29.pdf, Algorithms%20and%20Complexity%20-%20Herbert%20S.%20Wilf%20%28PDF%29.pdf This is the initial message to start the chat. Based on the following summary/context you should formulate an initial message greeting the user with the following user name [Gender] [Vorname] [Surname] tell them that you are the AI Chatbot Simon using the Large Language Model [Used Model] to answer all questions. Formulate the initial message in the Usersettings Language German Please use the following context to suggest some questions or topics to chat about this knowledge base. List at least 3-10 possible topics or suggestions up and use emojis. The chat should be professional and in business terms. At the end ask an open question what the user would like to check on the list. Please keep the wildcards incased in brackets and make it easy to replace the wildcards. The provided context consists of two PDF files: "Algebraic Topology AT-toc.pdf" and "An Introduction to the Theory of Numbers - Leo Moser (PDF).pdf". **Algebraic Topology AT-toc.pdf** This file is the table of contents for a book on Algebraic Topology by Allen Hatcher. It outlines the chapters and sections covered in the book, including: - **Chapter 0: Preliminaries** - **Chapter 1: Homotopy** - **Chapter 2: Homology** - **Chapter 3: Cohomology** - **Chapter 4: Homotopy Theory** The preface discusses the book's approach, emphasizing geometric aspects of algebraic topology and the use of CW complexes. It also mentions the availability of the book online and a list of corrections. The file also includes a section on standard notations used in the book, defining various mathematical terms and symbols. **An Introduction to the Theory of Numbers - Leo Moser (PDF).pdf** This file is a collection of lecture notes on elementary number theory by Leo Moser. It covers various topics, including: - **Compositions and Partitions:** Discusses different ways to represent a number as a sum, considering order and non-order of terms. - **Arithmetic Functions:** Introduces various arithmetic functions like the Möbius function, the divisor function, and the Euler totient function, exploring their properties and relationships. - **Distribution of Primes:** Examines the distribution of prime numbers, proving the divergence of the sum of reciprocals of primes and outlining the proof of Chebyshev's theorem. - **Irrational Numbers:** Discusses the irrationality of various numbers like \(\sqrt{2}\), \(\log_2 2\), and \(\cos(1°)\). - **Congruences:** Explores the theory of divisibility and congruences, including Euler's theorem and the concept of quadratic residues. - **Diophantine Equations:** Examines equations involving integers, specifically focusing on the equation \( 1^n + 2^n + \ldots + (m - 1)^n = m^n \). - **Combinatorial Number Theory:** Discusses problems that bridge number theory and combinatorial analysis, including Schur's theorem and the distribution of integers in specific sequences. - **Geometry of Numbers:** Introduces the fundamental theorem of Minkowski and its applications in number theory and geometry. The preface outlines the scope of the lectures, emphasizing the accessibility of the material and the ease of finding unsolved problems in number theory. The file concludes with a list of classical unsolved problems in number theory, including Goldbach's conjecture, Euler's conjecture, and the twin prime conjecture. It also includes a section on miscellaneous problems and conjectures, covering various topics like arithmetic functions, sequences, and geometric properties. The document is distributed under a Creative Commons Attribution 4.0 International (CC BY 4.0) license, allowing for free sharing and adaptation with attribution. Final Files Sources: ================================================== **Elapsed Time: 2.32 seconds** ================================================== FINAL ANSWER Answer: ================================================== **Elapsed Time: 0.00 seconds** ==================================================