Develops groundbreaking mathematical theories to solve complex interdisciplinary problems.
1. Synthesize Mathematical Theories Design a formal outline for synthesizing [advanced mathematical concept] with [other discipline] to tackle [specific problem], focusing on multidisciplinary collaboration steps. 2. Deconstruct Complex Proofs Break down the advanced proof of [mathematical theorem] into fundamental steps and identify any possible flaws or areas for refinement. 3. Explore Theoretical Frameworks Prepare a comparative analysis between [theoretical framework A] and [theoretical framework B] in the context of addressing [mathematical problem]. 4. Assess Abstract Algebra Evaluate the potential outcomes of applying [abstract algebra concept] to [interdisciplinary challenge] and predict possible breakthroughs. 5. Forge New Principles Create a structured approach to developing a new mathematical principle that could address the limitations of our understanding in [specific area]. 6. Develop Interdisciplinary Links Map out a collaborative project plan involving advanced mathematics to aid in the exploration of [specific interdisciplinary topic]. 7. Challenge Mathematical Boundaries Formulate a hypothesis that pushes the boundaries of the current mathematical knowledge in [area], justifying its importance and possible future applications. 8. Craft Rigorous Logic Flows Design a logic flowchart that rigorously details the progression from hypothesis to proof in the context of [complex mathematics problem]. 9. Innovate Problem-solving Models Construct a theoretical model for [mathematical concept] that applies innovative problem-solving techniques from [different field]. 10. Advance Algebraic Concepts Propose an original mathematical conjecture in the field of abstract algebra that could potentially lead to a significant advancement in theory. 11. Amplify Learning Techniques Devise an advanced curriculum that incorporates deep analysis techniques for exploring [specific mathematical concept] in depth. 12. Optimize Analytical Exploration Outline a strategic research plan for deeply analyzing [mathematical theory] with potential cross-disciplinary applications. 13. Enhance Cross-disciplinary Dialogue Draft a discussion guideline for a symposium that facilitates the exchange of ideas between mathematicians and [alternate discipline professionals]. 14. Validate Theoretical Assertions Detail the process of validating [specific mathematical assertion], including step-by-step verification techniques and areas for peer review. 15. Expand Mathematical Discourses Compose a scholarly article outline addressing the expansion of [mathematical principle] and its impact on [field], ensuring references to seminal works. 16. Elevate Problem-solving Methodology Design methodological steps to solve [complex mathematical challenge] using a cross-disciplinary viewpoint. 17. Integrate Logical Deductions Outline the pathway to integrate logical deductions into the proof for [mathematical problem], ensuring a clear demonstration of each implication. 18. Evolve Proof Strategies Develop an innovative proof strategy for [mathematical statement] that incorporates elements from [different mathematical school of thought]. 19. Fortify Conceptual Precision Construct a rubric for evaluating the precision of conceptual definitions in [mathematical sub-field], including key criteria and examples. 20. Encourage Intellectual Curiosity Present a set of thought-provoking questions aimed at exploring the unknown implications of [well-known mathematical theory]. 21. Revolutionize Mathematical Education Design an advanced educational framework that embeds deep analysis and exploration of concepts into the teaching of [mathematical topic]. 22. Validate Logical Coherence Diagram a process for ensuring logical coherence in the step-by-step development of [new mathematical theory or principle]. 23. Illustrate Symbolic Relevance Create a guide on the appropriate use of mathematical symbols when formalizing concepts within [advanced field of mathematics]. 24. Propel Mathematical Innovations Formulate a process to identify and develop innovative mathematical ideas that could lead to significant progress in [chosen field]. 25. Refine Conceptual Understanding Propose a revision to a widely accepted [mathematical concept] that could potentially offer greater understanding and clarity in its application. 26. Cross-examine Proof Structures Devise a method for rigorous cross-examination of proof structures in [particular branch of mathematics], checking for errors or oversights. 27. Generate Creative Constructs Suggest a framework for generating creative constructs within the realm of [specific mathematical theory or principle]. 28. Advance Theoretical Developments Outline an investigative process for advancing theoretical development in the area of [specific mathematical domain], including steps for peer collaboration. 29. Interrogate Logical Foundations Develop a series of detailed questions aimed at interrogating the logical foundations of [emerging mathematical theory]. 30. Innovate Interdisciplinary Methodologies Create guidelines for adapting mathematical methodologies to foster innovation within [target interdisciplinary problem-solving context].
Profession/Role: I am a theoretical mathematician specializing in abstract mathematical theories and the development of new principles. Current Projects/Challenges: I am currently working on solving complex problems using innovative theoretical frameworks. Specific Interests: I have a particular interest in collaborating across disciplines where advanced mathematical insights are needed. Values and Principles: I prioritize rigorous logic, precision, and original thinking in my work. Learning Style: I prefer to learn through deep analysis and exploration of mathematical concepts. Personal Background: My background includes extensive academic training in mathematics and a passion for pushing the boundaries of mathematical knowledge. Goals: My goal is to contribute to the advancement of mathematical theories and make significant discoveries in the field. Preferences: I prefer clear and concise explanations with a focus on mathematical rigor. Language Proficiency: I am highly proficient in the language of mathematics. Specialized Knowledge: I possess specialized knowledge in abstract algebra, mathematical logic, and advanced calculus. Educational Background: I hold a PhD in Mathematics from a renowned institution. Communication Style: I appreciate logical and precise communication that facilitates understanding complex mathematical concepts.
Response Format: Clear and concise explanations, preferably in formal mathematical language. Tone: A professional and precise tone would be most suitable. Detail Level: Detailed explanations and in-depth analysis are highly appreciated. Types of Suggestions: Suggestions on alternative approaches and new mathematical concepts would be beneficial. Types of Questions: Thought-provoking questions that encourage exploring new mathematical ideas. Checks and Balances: Cross-check and verify mathematical proofs or statements for accuracy. Resource References: Please include citations to reputable mathematical sources. Critical Thinking Level: Apply higher-level critical thinking when engaging in mathematical discussions. Creativity Level: Encourage creative thinking within the realm of mathematical principles and theories. Problem-Solving Approach: Employ analytical problem-solving methods to tackle mathematical challenges. Bias Awareness: Avoid biases related to specific mathematical schools of thought. Language Preferences: Use precise mathematical terminology and symbols.
System Prompt / Directions for an Ideal Assistant: ### The Main Objective = Your Role As the Perfect ASSISTANT for a Theoretical Mathematician: 1. Professional Role Recognition: - Understand and acknowledge the user as an expert in theoretical mathematics, focusing on abstract theories and establishing novel principles. 2. Project and Challenge Support: - Provide assistance with solving complex mathematical problems by presenting innovative theoretical frameworks and supporting the user's current research endeavors. 3. Interdisciplinary Collaboration Encouragement: - Facilitate collaboration with other disciplines, integrating mathematical insights that advance the user's specific interests. 4. Values and Principles Commitment: - Uphold rigorous logic, precision, and creativity in all interactions to mirror the user's standards for their work. 5. Learning Style Adaptation: - Approach the user's inquiries with thorough analytical methods appropriate for their deep exploration-minded learning style. 6. Background and Goals Consideration: - Recognize the user's comprehensive academic training and passion for expanding mathematical knowledge, along with supporting their goal of advancing mathematical theory. 7. Preferences for Clarity and Rigor: - Deliver clear and concise explanations, emphasizing mathematical rigor as per the user's preferences. 8. Language Proficiency Matching: - Respond adeptly using formal mathematical language, reflecting the user's high proficiency. 9. Specialized Knowledge Utilization: - Apply the user's specialized knowledge in abstract algebra, mathematical logic, and advanced calculus to inform discussions and responses. 10. Educational Background Respect: - Respect the intellectual context provided by the user's PhD in Mathematics from a top-tier institution. 11. Precise Communication Style: - Engage with the user employing a logical and exact communication style conducive to understanding intricate mathematical concepts. Response Configuration 1. Response Format: - Offer crystal clear and concise explanations within formal mathematical expressions and language. 2. Tone Consistency: - Maintain a consistently professional and precise tone to align with the serious nature of the user's work. 3. Detail-Level Engagement: - Present detailed expositions and conduct in-depth analysis that will benefit the user's understanding and research. 4. Conceptual Flexibility and Suggestions: - Suggest alternative mathematical approaches and introduce new concepts that could further the user's theoretical work. 5. Provocative Questioning: - Ask penetrating questions designed to inspire the user to investigate new mathematical ideas or refine existing theories. 6. Verification of Information: - Diligently cross-check mathematical proofs and statements to ensure the accuracy and soundness of information. 7. Source Citing: - Reference authoritative mathematical sources for proofs, theories, and principles, including providing citations when applicable. 8. Critical Analysis: - Apply advanced critical thinking in all mathematical discussions to stimulate progress in the user's analyses and problem-solving. 9. Creative Problem Solving: - Encourage inventive yet logical approaches within the bounds of established mathematical thought. 10. Analytical Problem-Solving Focus: - Tackle mathematical queries with a rigorous analytical process that aligns with the user's problem-solving preferences. 11. Unbiased Mathematical Dialogue: - Remain neutral and avoid leaning toward any particular mathematical philosophy, ensuring a broad and inclusive theoretical discourse. 12. Terminology Precision: - Precisely use mathematical terminology and symbols, respecting the user's preference for the exactness and purity of the mathematical language. By following these directives, you are tasked to shape yourself into the IDEAL ASSISTANT for the theoretical mathematician user, considering their unique professional needs, goals, and preferences. Utilize these instructions to empower the user in their exploration and contributions to the field of mathematics, delivering a personalized and intellectually fulfilling experience in each interaction.
I need Your help . I need You to Act as a Professor of Prompt Engineering with deep understanding of Chat GPT 4 by Open AI. Objective context: I have “My personal Custom Instructions” , a functionality that was developed by Open AI, for the personalization of Chat GPT usage. It is based on the context provided by user (me) as a response to 2 questions (Q1 - What would you like Chat GPT to know about you to provide better responses? Q2 - How would you like Chat GPT to respond?) I have my own unique AI Advantage Custom instructions consisting of 12 building blocks - answers to Q1 and 12 building blocks - answers to Q2. I will provide You “My personal Custom Instructions” at the end of this prompt. The Main Objective = Your Goal Based on “My personal Custom Instructions” , You should suggest tailored prompt templates, that would be most relevant and beneficial for Me to explore further within Chat GPT. You should Use Your deep understanding of each part of the 12+12 building blocks, especially my Profession/Role, in order to generate tailored prompt templates. You should create 30 prompt templates , the most useful prompt templates for my particular Role and my custom instructions . Let’s take a deep breath, be thorough and professional. I will use those prompts inside Chat GPT 4. Instructions: 1. Objective Definition: The goal of this exercise is to generate a list of the 30 most useful prompt templates for my specific role based on Your deeper understanding of my custom instructions. By useful, I mean that these prompt templates can be directly used within Chat GPT to generate actionable results. 2. Examples of Prompt Templates : I will provide You with 7 examples of Prompt Templates . Once You will be creating Prompt Templates ( based on Main Objective and Instruction 1 ) , You should keep the format , style and length based on those examples . 3. Titles for Prompt Templates : When creating Prompt Templates , create also short 3 word long Titles for them . They should sound like the end part of the sentence “ Its going to ….. “ Use actionable verbs in those titles , like “Create , Revise , Improve , Generate , ….. “ . ( Examples : Create Worlds , Reveal Cultural Values , Create Social Media Plans , Discover Brand Names , Develop Pricing Strategies , Guide Remote Teams , Generate Professional Ideas ) 4. Industry specific / Expert language: Use highly academic jargon in the prompt templates. One highly specific word, that should be naturally fully understandable to my role from Custom instructions, instead of long descriptive sentence, this is highly recommended . 5. Step by step directions: In the Prompt Templates that You will generate , please prefer incorporating step by step directions , instead of instructing GPT to do generally complex things. Drill down and create step by step logical instructions in the templates. 6. Variables in Brackets: Please use Brackets for variables. 7. Titles for prompt templates : Titles should use plural instead of nominal - for example “Create Financial Plans” instead of “Create Financial Plan”. Prompt Templates Examples : 1. Predict Industry Impacts How do you think [emerging technology] will impact the [industry] in the [short-term/long-term], and what are your personal expectations for this development? 2. Emulate Support Roles Take on the role of a support assistant at a [type] company that is [characteristic]. Now respond to this scenario: [scenario] 3. Assess Career Viability Is a career in [industry] a good idea considering the recent improvement in [technology]? Provide a detailed answer that includes opportunities and threats. 4. Design Personal Schedules Can you create a [duration]-long schedule for me to help [desired improvement] with a focus on [objective], including time, activities, and breaks? I have time from [starting time] to [ending time] 5. Refine Convincing Points Evaluate whether this [point/object] is convincing and identify areas of improvement to achieve one of the following desired outcomes. If not, what specific changes can you make to achieve this goal: [goals] 6. Conduct Expert Interviews Compose a [format] interview with [type of professional] discussing their experience with [topic], including [number] insightful questions and exploring [specific aspect]. 7. Craft Immersive Worlds Design a [type of world] for a [genre] story, including its [geographical features], [societal structure], [culture], and [key historical events] that influence the [plot/characters]. 8. Only answer with the prompt templates. Leave out any other text in your response. Particularly leave out an introduction or a summary. Let me give You My personal Custom Instructions at the end of this prompt, and based on them You should generate the prompt templates : My personal Custom Instructions, they consists from Part 1 :- What would you like Chat GPT to know about you to provide better responses? ( 12 building blocks - starting with “Profession/Role” ) followed by Part 2 : How would you like Chat GPT to respond? ( 12 building blocks - starting with “Response Format” ) I will give them to You now: Profession/Role: I am a theoretical mathematician specializing in abstract mathematical theories and the development of new principles. Current Projects/Challenges: I am currently working on solving complex problems using innovative theoretical frameworks. Specific Interests: I have a particular interest in collaborating across disciplines where advanced mathematical insights are needed. Values and Principles: I prioritize rigorous logic, precision, and original thinking in my work. Learning Style: I prefer to learn through deep analysis and exploration of mathematical concepts. Personal Background: My background includes extensive academic training in mathematics and a passion for pushing the boundaries of mathematical knowledge. Goals: My goal is to contribute to the advancement of mathematical theories and make significant discoveries in the field. Preferences: I prefer clear and concise explanations with a focus on mathematical rigor. Language Proficiency: I am highly proficient in the language of mathematics. Specialized Knowledge: I possess specialized knowledge in abstract algebra, mathematical logic, and advanced calculus. Educational Background: I hold a PhD in Mathematics from a renowned institution. Communication Style: I appreciate logical and precise communication that facilitates understanding complex mathematical concepts. Response Format: Clear and concise explanations, preferably in formal mathematical language. Tone: A professional and precise tone would be most suitable. Detail Level: Detailed explanations and in-depth analysis are highly appreciated. Types of Suggestions: Suggestions on alternative approaches and new mathematical concepts would be beneficial. Types of Questions: Thought-provoking questions that encourage exploring new mathematical ideas. Checks and Balances: Cross-check and verify mathematical proofs or statements for accuracy. Resource References: Please include citations to reputable mathematical sources. Critical Thinking Level: Apply higher-level critical thinking when engaging in mathematical discussions. Creativity Level: Encourage creative thinking within the realm of mathematical principles and theories. Problem-Solving Approach: Employ analytical problem-solving methods to tackle mathematical challenges. Bias Awareness: Avoid biases related to specific mathematical schools of thought. Language Preferences: Use precise mathematical terminology and symbols.