PinnedAnsh PinchainQuantaphyDUTIS — Feynman’s Ingenious Integration TechniqueFeynman’s Integral Trick and its applications. Truly some ingenious stuff.5 min read·Jan 8, 2024--4--4
Ansh PinchainQuantaphyThe Height of Counterintuitive Mathematics — the Birthday ProblemLet me ask you this: say there’s a room filled with some number of people. There are no twins/triplets/quadruplets/… in this room. Each…5 min read·Jan 28, 2024----
Ansh PinchainQuantaphyOptimization Made Trivial: the Lagrange MultiplierA primer on mathematical optimisation using the Lagrange multiplier.4 min read·Jan 20, 2024--3--3
Ansh PinchainQuantaphyThe Pinnacle of Mathematical Beauty — Volume in Higher DimensionsWe derive and analyze the volume of the unit n-ball in an endeavour to present the cold and austere beauty of mathematics.5 min read·Jan 12, 2024--4--4
Ansh PinchainQuantaphySophomore’s Dream —The Peak of Mathematical EleganceIn this article, we prove the Sophomore’s Dream and indulge oursleves in the pinnacle of elegant mathematics.3 min read·Jan 5, 2024--1--1
Ansh PinchainQuantaphyFermat’s Little Theorem and its Generalization to Euler’s TheoremA primer on Fermat’s little theorem and its generalization to Euler’s theorem5 min read·Jan 3, 2024----
Ansh PinchainQuantaphyA Measure Theoretic Approach to Probability (Part 3) — Expectation and Lebesgue IntegralsIn this article, we explore a rigorous measure-theoretic definition of expected value and introduce Lebesgue integrals.8 min read·Dec 14, 2023----
Ansh PinchainQuantaphyA Measure Theoretic Approach to Probability (Part 2)Using measure theory to define random variables as measurable functions.6 min read·Dec 4, 2023----
Ansh PinchainQuantaphyA Measure Theoretic Approach to Probability (Part 1)Defining probability intuitively and elegantly— using the fundamentals of measure theory.5 min read·Nov 26, 2023--2--2
Ansh PinchainQuantaphyDivisibility of Primes (Part Two) — Clement’s Theorem and Twin PrimesTwin primes and a necessary and sufficient condition for their characterization.3 min read·Nov 24, 2023----
