definition of double periodicity
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Explanation: a doubly periodic function is a function defined at all points on the complex plane and having two "periods", which are complex numbers u and v that are linearly independent as vectors over the field of real numbers. That u and v are periods of a function ƒ means that
{\displaystyle f(z+u)=f(z+v)=f(z)\,} f(z+u)=f(z+v)=f(z)\,
for all values of the complex number z
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