Given an input vector containing a cosine wave of unknown frequency, produce an output vector of the same length containing a cosine wave of twice the input frequency. The output should have the same mean and amplitude as the input.
Clever use of acos(). I didn't think to do that.
Determine whether a vector is monotonically increasing
Count from 0 to N^M in base N.
Angle between two vectors
calculate linear convolution two vectors
Swap two numbers
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