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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 A xor
How to add and subtract values from an average? 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 average we only must know for how many values the average was calculated for: $$ average_ {new} = average_ {old} + \frac { value_ {new} - average_ {old}} {size_ {new}} $$
What is the minimum and maximum number of eigenvectors? 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 am asked to find the
algebraic geometry - Why is a smooth connected scheme irreducible . . . 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 "every regular, connected scheme with locally finitely many irreducible components is irreducible"; which in turn is a particular case of "every connected topological space which has disjoint irreducible components and
What’s the difference between equals signs ≈, ≅, and ≃? My professors have seemed to use $≅$ and $≈$ pretty interchangeably to indicate that something is nearly equal to something else, and I just became aware of $≃$ When should we use one of these in
Why do equilateral triangles relate to cubics 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: What this post s