PinnedAnsh PinchainQuantaphyDUTIS — Feynman’s Ingenious Integration TechniqueFeynman’s Integral Trick and its applications. Truly some ingenious stuff.Jan 84Jan 84
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…Jan 28Jan 28
Ansh PinchainQuantaphyOptimization Made Trivial: the Lagrange MultiplierA primer on mathematical optimisation using the Lagrange multiplier.Jan 203Jan 203
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.Jan 124Jan 124
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.Jan 51Jan 51
Ansh PinchainQuantaphyFermat’s Little Theorem and its Generalization to Euler’s TheoremA primer on Fermat’s little theorem and its generalization to Euler’s theoremJan 3Jan 3
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.Dec 14, 2023Dec 14, 2023
Ansh PinchainQuantaphyA Measure Theoretic Approach to Probability (Part 2)Using measure theory to define random variables as measurable functions.Dec 4, 2023Dec 4, 2023
Ansh PinchainQuantaphyA Measure Theoretic Approach to Probability (Part 1)Defining probability intuitively and elegantly— using the fundamentals of measure theory.Nov 26, 20232Nov 26, 20232
Ansh PinchainQuantaphyDivisibility of Primes (Part Two) — Clement’s Theorem and Twin PrimesTwin primes and a necessary and sufficient condition for their characterization.Nov 24, 2023Nov 24, 2023
