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--- |
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license: mit |
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language: |
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- en |
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tags: |
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- math |
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- formula |
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pretty_name: sunny thakur |
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size_categories: |
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- n<1K |
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--- |
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Mathematics Formulas Dataset |
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A comprehensive collection of 183 essential mathematical formulas across 12 categories, formatted in JSONL for easy integration with educational software, study apps, and AI systems. |
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# Dataset Overview |
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Total Formulas: 183 |
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Categories: 12 |
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Format: JSON Lines (.jsonl) |
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Size: ~45KB |
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Last Updated: October 2023 |
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# Categories Included |
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Algebra |
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Basic identities |
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Polynomial expansions |
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Quadratic formula |
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Exponential/logarithmic laws |
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Trigonometry |
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Fundamental identities |
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Angle formulas |
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Transformation formulas |
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Trigonometric laws |
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Calculus |
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Derivatives |
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Integrals |
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Special limits |
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Fundamental theorems |
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Geometry |
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Area/volume formulas |
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Coordinate geometry |
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Euler's formula |
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Vector operations |
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Probability & Statistics |
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Basic probability rules |
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Counting principles |
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Distribution formulas |
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Statistical measures |
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Complex Numbers |
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Algebraic operations |
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Polar form conversions |
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Exponential representation |
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Roots of unity |
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Vectors |
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Vector operations |
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Dot/cross products |
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Magnitude calculations |
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Geometric applications |
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Sequences & Series |
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Arithmetic/geometric sequences |
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Summation formulas |
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Financial applications |
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Logarithms |
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Logarithmic identities |
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Change of base |
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Special cases |
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Exponents |
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Exponent rules |
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Fractional exponents |
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Special cases |
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Radicals |
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Radical operations |
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Simplification rules |
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Exponent conversions |
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Logic |
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Logical equivalences |
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De Morgan's laws |
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Truth tables |
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JSONL Format Specification |
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Each line contains a complete JSON object with the following common fields: |
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``` |
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json |
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{ |
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"category": "Trigonometry", |
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"type": "Double Angle", |
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"formulas": [ |
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"sin2θ = 2sinθcosθ", |
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"cos2θ = cos²θ - sin²θ" |
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], |
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"note": "Three equivalent forms for cosine", |
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"tags": ["angles", "identities"] |
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} |
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``` |
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Standard Fields: |
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``` |
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category: Primary subject area |
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type: Formula subcategory |
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formula(s): The mathematical expression(s) |
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variables: List of variables with descriptions (when applicable) |
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example: Worked examples (when provided) |
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note: Additional explanations |
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tags: Search keywords |
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``` |
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Usage Examples |
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Python Integration |
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```Python |
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import json |
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with open('trigonometry.jsonl') as f: |
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for line in f: |
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formula = json.loads(line) |
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print(f"{formula['type']}: {formula['formulas'][0]}") |
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``` |
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JavaScript Integration |
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```javascript |
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const fs = require('fs'); |
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const readline = require('readline'); |
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const rl = readline.createInterface({ |
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input: fs.createReadStream('algebra.jsonl'), |
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crlfDelay: Infinity |
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}); |
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rl.on('line', (line) => { |
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const formula = JSON.parse(line); |
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console.log(formula.formulas[0]); |
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}); |
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```` |
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# Applications |
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Educational Software: Power formula cheat sheets and auto-solving features |
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Flashcard Apps: Create spaced-repetition study decks |
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AI Training: Enhance math-solving language models |
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Reference Apps: Build comprehensive math handbooks |
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Tutoring Systems: Support step-by-step problem solving |
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# Contribution Guidelines |
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Fork the repository |
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Add new formulas in the appropriate category file |
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Maintain consistent JSONL format |
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Include proper Unicode mathematical notation |
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# License |
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This dataset is released under MIT License, allowing free use in both academic and commercial applications with attribution. |
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Acknowledgements |
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Compiled by mathematics educators and formatted for machine readability. |
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owner :Sunny thakur |
