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So, Euclid's method for computing the greatest common divisor of two positive integers consists of replacing the larger number with the difference of the numbers, and repeating this until the two numbers are equal: that is their greatest common divisor. For example, to compute gcd(48,18), one proceeds as follows:
On the right Nicomachus's example with numbers 49 and 21 resulting in their GCD of 7 (derived from Heath 1908:300). In mathematics, the Euclidean algorithm, [note 1] or Euclid's algorithm, is an efficient method for computing the greatest common divisor (GCD) of two integers, the largest number that divides them both without a remainder.
The Ladder-Step function (given below) used within the ladder is the core of the algorithm and is a combined form of the differential add and doubling operations. The field constant a 24 is defined as a 24 = ( A + 2 ) / 4 {\displaystyle (A+2)/4} , where A {\displaystyle A} is a parameter of the underlying Montgomery curve .
In the mathematical field of graph theory, the ladder graph L n is a planar, undirected graph with 2n vertices and 3n – 2 edges. [ 1 ] The ladder graph can be obtained as the Cartesian product of two path graphs , one of which has only one edge: L n ,1 = P n × P 2 .
The website offers dozens of free, self-paced tutorials in technology, Microsoft Office, work and career, reading, math, and everyday life. [3] [4] All tutorials can be accessed with no registration required, but users can also create a free edu.GCFGlobal.org account to track their learning history and create transcripts of completed tutorials. [5]
A quartic equation has four solutions, and only one solution for this equation matches the problem as presented. Another solution is for a case where one ladder (and wall) is below ground level and the other above ground level. In this case the ladders do not actually cross, but their extensions do so at the specified height.
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