#algebra

गुणकसमुच्चयः — Gunakasamuchyah The factors of the sum is the sum of the factors. The factors of an...

सोपान्त्यद्वयमन्त्यम् — Sopaantyadvayamantyam The ultimate and twice the penultimate. In certain...

Training LLMs on mathematical reasoning by inverting easy-to-solve problems: generate derivatives, reverse them into integration exercises with full step-by-step solutions.

A mathematical framework that treats language models as algebraic objects with compositional structure.

A C++ library for composable hash functions using algebraic structure over XOR, with template metaprogramming.

The same GCD algorithm works for integers and polynomials because both are Euclidean domains. One structure, many types, same algorithms.

An R package that treats MLEs as algebraic objects. They carry Fisher information, compose through independent likelihoods, and propagate uncertainty correctly.

व्यष्टिसमष्टि — Vyashtisamasthi Part and whole. Factor a quadratic by finding two numbers whose...

चलन-कलनाभ्याम् — Chalana-Kalanabyham Differences and similarities. Use calculus-like derivative...

पूरणापूरणाभ्याम् — Puranapuranabhyam By the completion or non-completion. Complete the square (or...

संकलन-व्यवकलनाभ्याम् — Sankalana-vyavakalanabhyam By addition and subtraction. Add the two...

आनुरूप्ये शून्यमन्यत् — Anurupye Shunyamanyat If one is in ratio, the other is zero. In...