How does differentiating under the integral sign work for simple integrals?

10

Numbers with only one prime number each as factors

12

Forward-mode and reverse-mode autodiff in python featuring dual numbers and graph traversals

13

Masaki Kashiwara for contributions to algebraic analysis and representation theory

19

Why is the product of $n$ consecutive numbers always a multiple of $n.$

25

After six long years, and for the first time using GPUs

30

more math news from Mathstodon

33

A pattern that has evaded explanation for a long time, so I'm posting it here.

34

What is the size of the shift between two successive curves and how do you show that they intersect at integer points?

35

Find the shortest route between two points in a circle by touching the circumference along the route.

40

Remembering 2014 Fields Medallist Maryam Mirzakhani

43

Some fun questions I've been trying to solve on and off this month

45

Avi Wigderson for foundational contributions to the theory of computation.

49

A discontinuity paradox

51

Michel Talagrand for contributions to probability theory and functional analysis

52

My notes while trying to make sense of the Navier Stokes problem

57

Some notes on rod-cutting, LCS, and 0-1 Knapsack...

60

explicit constructions of sets with more unique pairwise sums than differences

62

a very elegant proof that I learnt after many hours of toil

68

Analysis of Entry A004207 in the OEIS

74

Streaming while doing math

76

Live Coding Seam Carving Part 2

78

A very good thread (with an unexpected Alexander crossover) from Mathstodon

88

an elegant problem with an even more elegant solution

89

Exercises in faster and more intuitive tensor notation for deep learning.

91

This is a very good party trick to learn

92

Comparing factorial computation times vs. approximation as exponentiation, gamma functions, and Stirling's approximation.

94

Prove that a series where each term is the arithmetic mean of the previous two terms converges.

97

How I work with $\LaTeX$ locally instead of using OverLeaf

101

Testing whether Newton's method decays updates exponentially

106

Proofs and solutions from "Elementary Introduction to Number Theory" by Calvin Long

107

One of these is not like the other

108

Live Coding Seam Carving Part 1

109

some solutions I wrote up

111

Is it right?

119

number theory, sphere packing, and chromatic polynomials

121

The inbuilt ceil function was being very unwieldy. I prefer defining my own inline function now.

122

Storing a few results here for future use

134

a wild fibonacci appears

135

A video from Prof. Courtney Gibbons I revisit a lot

136

Fermat's Last Theorem, Essay Writing and the return of La Liga and Serie A.

143

A revision of first principles and more mathematics

145

A math-heavy but super elegant proof that I learnt

147

Mathematics mostly, with some code sprinkle-tossed in. Solving puzzles never felt more exhilarating.

148

Analysis and Solutions for the 2020 edition of Google's annual Code Jam competition.

149

Notes for a lecture I gave as an undergrad

153