| | --- |
| | license: mit |
| | language: |
| | - en |
| | tags: |
| | - math |
| | - formula |
| | pretty_name: sunny thakur |
| | size_categories: |
| | - n<1K |
| | --- |
| | 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 |
| |
|
| | Total Formulas: 183 |
| | |
| | Categories: 12 |
| | |
| | Format: JSON Lines (.jsonl) |
| | |
| | Size: ~45KB |
| | |
| | Last Updated: October 2023 |
| | |
| | # 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: |
| | ``` |
| | json |
| | |
| | { |
| | "category": "Trigonometry", |
| | "type": "Double Angle", |
| | "formulas": [ |
| | "sin2θ = 2sinθcosθ", |
| | "cos2θ = cos²θ - sin²θ" |
| | ], |
| | "note": "Three equivalent forms for cosine", |
| | "tags": ["angles", "identities"] |
| | } |
| | ``` |
| | Standard Fields: |
| | ``` |
| | category: Primary subject area |
| | |
| | type: Formula subcategory |
| | |
| | formula(s): The mathematical expression(s) |
| | |
| | variables: List of variables with descriptions (when applicable) |
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| | example: Worked examples (when provided) |
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| | note: Additional explanations |
| | |
| | tags: Search keywords |
| | ``` |
| | Usage Examples |
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| | Python Integration |
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| | ```Python |
| | |
| | import json |
| | |
| | with open('trigonometry.jsonl') as f: |
| | for line in f: |
| | formula = json.loads(line) |
| | print(f"{formula['type']}: {formula['formulas'][0]}") |
| | ``` |
| | JavaScript Integration |
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|
| | ```javascript |
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| | const fs = require('fs'); |
| | const readline = require('readline'); |
| | |
| | const rl = readline.createInterface({ |
| | input: fs.createReadStream('algebra.jsonl'), |
| | crlfDelay: Infinity |
| | }); |
| | |
| | rl.on('line', (line) => { |
| | const formula = JSON.parse(line); |
| | console.log(formula.formulas[0]); |
| | }); |
| | ```` |
| | # 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. |
| | Acknowledgements |
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|
| | Compiled by mathematics educators and formatted for machine readability. |
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|
| | owner :Sunny thakur |
