https://en.wikipedia.org/wiki/Square-and-multiply_algorithm
To find the square and cube of a number, we can use simple mathematical calculations. To find the square, multiply the number by itself, and to find the cube, multiply the number by itself three times. Consider the below example,
It is well known that the repeated square and multiply algorithm is an efficient way of modular exponentiation. The obvious question to ask is if this algorithm has an inverse which would calculate the discrete logarithm and what is its time compexity. The technical hitch is in fixing the ...
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This illustrates the theorem: If c is a common divisor of a and b, then c divides (a, b). To show the plausibility of this theorem and to illustrate Euclid's algorithm for finding the gcd of two numbers, consider the numbers 42 and 135. We divide the larger of these two numbers ...
This is again a favorable case since S(R)\le C_{\delta ,\varepsilon } R^{\delta +\varepsilon } S(R^{\varepsilon })^{\varepsilon ^{-1}-C_{0}} for any \delta >0 and any \varepsilon >0 implies the desired bound for S(R)....
Possible Optimization - Use a native wrapper in c - Platform Performance improvement How this function come about Thank you to the following Introduction This article shares a fast square root function for big integers and floats. The algorithm uses a variety of new and existing ideas to calculate...
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5) square algorithm 平方算法 1. At last,the reflexive matrix contracting based square algorithm is presented for calculating the transitive closure of the general binary relation,and the procedure of it is showed through an example. 首先,介绍布尔矩阵传递闭包的概念及计算问题;随后,分析布尔矩阵的...