Abstract

It is shown that multiplication of numbers and square rooting have the same complexity, i. e. from a program for multiplication one can construct a program for square rooting with the same asymptotic time complexity (1 step≦1 bit-operation) and vice versa. It follows from the Schonhage-Strassen algorithm that square rooting can be performed in 0 (n logn log logn) bit-operations.

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