How do you calculate the modulo of a high-raised number?
I need some help with this problem: $$439^{233} \\mod 713$$ I can't calculate $439^{223}$ since it's a very big number, there must be a way to do this. Thanks.
algebraic geometry - Why is a smooth connected scheme …
Feb 5, 2011 · More generally, locally with finitely many irreducible components is enough (each point has a neighborhood with finitely many irreducible components). The full statement is then …
What is the minimum and maximum number of eigenvectors?
May 14, 2015 · I am given the eigenvalues of a square, 8x8, matrix. They are all non-zero. I have determined that the matrix is diagonalizable and has an inverse. In one part of the problem, I …
Maximization with xor operator - Mathematics Stack Exchange
With given N numbers only one of those numbers doesn't have pair, which one is it? After hours of surfing the net i found that XOR operator is good for that, because X xor X=0 X xor 0=X and …
group theory - $a^ma^n=a^ {m+n}$ and $ (a^m)^n=a^ {mn}
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How to add and subtract values from an average?
Feb 16, 2011 · I know that's an old thread but I had the same problem. I want to add a value to an existing average without having to calculate the total sum again. to add a value to an exisitng …
How to simplify $a^n - b^n$? - Mathematics Stack Exchange
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Let $\gcd (m,n)=d$. Show that if $a=b$ (mod $d$) the equations …
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Why do equilateral triangles relate to cubics
Apr 5, 2023 · I found this question talking about the relation between an equilateral triangle and cubics with three distinct real roots. Here's an image from the original post with an example: …
Perimeter and area of a regular n-gon. - Mathematics Stack …
Mar 25, 2016 · A friend of mine asked me how to derive the area and perimeter of a regular $n$-gon with a radius $r$ for a design project he is working on. I came up with this, but ...