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  1. The idea behind the sum of powers of 2 - Mathematics Stack …

    Oct 29, 2016 · I know that the sum of powers of $2$ is $2^{n+1}-1$, and I know the mathematical induction proof. But does anyone know how $2^{n+1}-1$ comes up in the first place. For …

  2. Prove that the intersection of two equivalence relations is an ...

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  3. 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.

  4. 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 …

  5. How to simplify $a^n - b^n$? - Mathematics Stack Exchange

    You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation and how do I …

  6. group theory - $a^ma^n=a^ {m+n}$ and $ (a^m)^n=a^ {mn}

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  7. 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 …

  8. 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 …

  9. Let $\gcd (m,n)=d$. Show that if $a=b$ (mod $d$) the equations …

    Aug 27, 2020 · Continue to help good content that is interesting, well-researched, and useful, rise to the top! To gain full voting privileges,

  10. 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 ...