Aug 22, 2023 · How to understand Euler's criterion for exactness of differential equation as presented in the book "Physical chemistry" by Silbey, Alberty, Bawendy?

Jan 14, 2025 · I'm trying to understand how to expand the vector form of the Euler-Lagrange equation. I'm reading the following page which discusses the use of the equation to train a neural network that …

Oct 13, 2014 · Can anyone explain why reducing the stepsize h used in Euler's Method reduces the approximation of a function at a point?

Aug 26, 2020 · I have to find the last two decimal digits of the decimal number $9^{201}$. These can be thought as the remainder leaved out by dividing by 100. I've applied Euler's theorem and since 100 is …

For the Euler angles you can just linearize all of the sines and cosines in the 321 sequence and get the same cross product matrix with the right angles in the right places (for a 321 sequence), then read off …

76 I read that Euler proved $2^ {31} -1$ is prime. What techniques did he use to prove this so early on in history? Isn't very large number stuff done with computers? Do you know if Euler had a team of …

Jun 30, 2023 · Perhaps they wanted to emphasize the connection between Euler-Cauchy with characteristic polynomial and general regular singularities with the indicial equation of the Frobenius …

Euler's product formula for $\sin (\pi z)$ and the gamma function Ask Question Asked 13 years, 8 months ago Modified 1 year, 7 months ago

Nov 20, 2019 · To sum up, I would be grateful for clarifications how the "Thom class-definition" and the "differential form-definition" of the euler class relate to each other (in general or in dimension 2) or a …

Jan 26, 2015 · A professor of mine asked me this challenge. "(Proposed by Euler) A person bought horses and oxen. Paid 31 shields per horse and 20 per ox, and found that all oxen cost 7 shields …