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Analysis and Calculus

What does this infinite trigonometric identity have to do with probability?

August 7, 2022July 27, 2020 by VV
photo of white and purple painting

Recently I came across this surprising trigonometric identity…

Categories Analysis and Calculus, Probability 5 Comments

The Harmonic Series and Friends

July 23, 2023October 26, 2019 by VV

A lot of times, math can be deceptive and unexpected A few examples are the Monty Hall problem, the Banach-Tarski paradox, and the Weierstrass function. Today we will look at one of the most famous and classic counterexamples, that is that if a sequence converges to zero, it’s series does not necessarily converge. What does … Read more

Categories Analysis and Calculus, Introductory, Number Theory 3 Comments

The Spooky Function Horror Show

July 28, 2022October 11, 2019 by VV

Be prepared, for you are about to see some of the scariest functions this Halloween. The excerpt is like this to not spoil what’s within!

Categories Advanced, Analysis and Calculus 2 Comments

Newton’s Method

July 28, 2022July 27, 2018 by VV

Let’s look at a very common problem where the use of math is needed, solving equations. We have an expression using some variable x on one side of the ‘=’ sign and another expression using x on the other. We want to find for which values of x the equation holds.

Categories Analysis and Calculus, Introductory Tags Fractal, Numeric Analysis Leave a comment
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