Sūtra 9 of 16
Calanā-Kalanābhyām
Differences and similarities
Used in calculus (differentiation), and in finding roots of quadratics by discriminant.
When to use
Differential calculus and quadratic roots.
How it works
Compare differences (delta-style) of successive coefficients to derive higher-order quantities or to factor.
Memory formula
Compare differences to reveal the hidden factor or derivative pattern.
Worked examples
Problem 1
Discriminant of 2x² + 7x + 3
0/3
Modern applications
Where this ancient technique still lives in today's world.
AI / ML
Differentiation = back-prop
The 'differential calculus' Sūtra is a direct ancestor of automatic differentiation in PyTorch / JAX.
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