Carlos Villagordo EspinosaThe decomposition of bistochastic matricesWe present the Birkhoff Von Neumann algorithm, an algorithm used for the decomposition of a bistochastic (also known as doubly stochastic)…Dec 31, 2022Dec 31, 2022
Carlos Villagordo EspinosaA general formula for the nth prime numberMany people claim that such a formula has not been discovered yet, however, it has been discovered. In fact, it put into question how we…Nov 19, 2022Nov 19, 2022
Carlos Villagordo EspinosaA discrete form of L’Hospital’s ruleStolz-Cesàro theoremOct 26, 20221Oct 26, 20221
Carlos Villagordo EspinosaRecently I started programming in R, here’s what I learntWhat is R used for?Oct 22, 20222Oct 22, 20222
Carlos Villagordo EspinosaTopological proof of the infinitude of primesIn this article we prove that there are infinitely many primes using a topological argument.Oct 21, 20225Oct 21, 20225
Carlos Villagordo EspinosaHow many rational values can cos(x) take for x rational multiple of pi?Niven’s theoremOct 11, 2022Oct 11, 2022
Carlos Villagordo EspinosaAn introduction to cyclotomic polynomialsThe polynomials formed by the roots of unityOct 2, 20221Oct 2, 20221
Carlos Villagordo EspinosaThe fundamental theorem of Algebraic GeometryWhat is algebraic geometry?Sep 30, 20222Sep 30, 20222
Carlos Villagordo EspinosaCan you solve this problem from the Facebook Hacker Cup?Morse code can be ambiguous if you remove the spaces between words. Can you create a code for which this is not the case?Aug 31, 2022Aug 31, 2022
Carlos Villagordo EspinosaWhat is the formula for the length of the circumference of an ellipse?It is well-known that the area of an ellipse isAug 28, 20223Aug 28, 20223
