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  1. 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.

  2. 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 …

  3. 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 …

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

    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 …

  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. 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 …

  7. 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 ...

  8. Number of "Sub trees" of a given tree - Mathematics Stack Exchange

    Jul 9, 2017 · Given a tree, how can we find the number of "sub trees" of this tree. Following example illustrates the previous statement. eg: Consider a tree with 3 nodes and having the …