Update README.md

README.md

@@ -1,3 +1,238 @@
----
-license: mit
----
+---
+license: mit
+language:
+- en
+tags:
+- math
+- formula
+pretty_name: sunny thakur
+size_categories:
+- n<1K
+---
+Mathematics Formulas Dataset
+
+
+
+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.
+
+# Dataset Overview
+
+    Total Formulas: 183
+
+    Categories: 12
+
+    Format: JSON Lines (.jsonl)
+
+    Size: ~45KB
+
+    Last Updated: October 2023
+
+# Categories Included
+
+    Algebra 
+
+        Basic identities
+
+        Polynomial expansions
+
+        Quadratic formula
+
+        Exponential/logarithmic laws
+
+    Trigonometry 
+
+        Fundamental identities
+
+        Angle formulas
+
+        Transformation formulas
+
+        Trigonometric laws
+
+    Calculus 
+
+        Derivatives
+
+        Integrals
+
+        Special limits
+
+        Fundamental theorems
+
+    Geometry 
+
+        Area/volume formulas
+
+        Coordinate geometry
+
+        Euler's formula
+
+        Vector operations
+
+    Probability & Statistics 
+
+        Basic probability rules
+
+        Counting principles
+
+        Distribution formulas
+
+        Statistical measures
+
+    Complex Numbers 
+
+        Algebraic operations
+
+        Polar form conversions
+
+        Exponential representation
+
+        Roots of unity
+
+    Vectors 
+
+        Vector operations
+
+        Dot/cross products
+
+        Magnitude calculations
+
+        Geometric applications
+
+    Sequences & Series 
+
+        Arithmetic/geometric sequences
+
+        Summation formulas
+
+        Financial applications
+
+    Logarithms 
+
+        Logarithmic identities
+
+        Change of base
+
+        Special cases
+
+    Exponents 
+
+        Exponent rules
+
+        Fractional exponents
+
+        Special cases
+
+    Radicals 
+
+        Radical operations
+
+        Simplification rules
+
+        Exponent conversions
+
+    Logic 
+
+        Logical equivalences
+
+        De Morgan's laws
+
+        Truth tables
+
+
+
+JSONL Format Specification
+
+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)
+
+    example: Worked examples (when provided)
+
+    note: Additional explanations
+
+    tags: Search keywords
+```
+Usage Examples
+
+Python Integration
+
+```
+
+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
+
+```javascript
+
+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
+
+    Educational Software: Power formula cheat sheets and auto-solving features
+
+    Flashcard Apps: Create spaced-repetition study decks
+
+    AI Training: Enhance math-solving language models
+
+    Reference Apps: Build comprehensive math handbooks
+
+    Tutoring Systems: Support step-by-step problem solving
+
+# Contribution Guidelines
+
+    Fork the repository
+
+    Add new formulas in the appropriate category file
+
+    Maintain consistent JSONL format
+
+    Include proper Unicode mathematical notation
+
+    
+
+# License
+
+This dataset is released under MIT License, allowing free use in both academic and commercial applications with attribution.
+Acknowledgements
+
+Compiled by mathematics educators and formatted for machine readability. 
+
+owner :Sunny thakur