Strachey Method For Magic Squares
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Strachey Method For Magic Squares
The Strachey method for magic squares is an algorithm for generating magic squares of singly even order 4''k'' + 2. An example of magic square of order 6 constructed with the Strachey method: Strachey's method of construction of singly even magic square of order ''n'' = 4''k'' + 2. 1. Divide the grid into 4 quarters each having ''n''2/4 cells and name them crosswise thus 2. Using the Siamese method (De la Loubère method) complete the individual magic squares of odd order 2''k'' + 1 in subsquares A, B, C, D, first filling up the sub-square A with the numbers 1 to ''n''2/4, then the sub-square B with the numbers ''n''2/4 + 1 to 2''n''2/4,then the sub-square C with the numbers 2''n''2/4 + 1 to 3''n''2/4, then the sub-square D with the numbers 3''n''2/4 + 1 to ''n''2. As a running example, we consider a 10×10 magic square, where we have divided the square into four quarters. The quarter A contains a magic square of numbers from 1 to 25, B a magic square of numbers from 26 to 50 ...
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Algorithm
In mathematics and computer science, an algorithm () is a finite sequence of Rigour#Mathematics, mathematically rigorous instructions, typically used to solve a class of specific Computational problem, problems or to perform a computation. Algorithms are used as specifications for performing calculations and data processing. More advanced algorithms can use Conditional (computer programming), conditionals to divert the code execution through various routes (referred to as automated decision-making) and deduce valid inferences (referred to as automated reasoning). In contrast, a Heuristic (computer science), heuristic is an approach to solving problems without well-defined correct or optimal results.David A. Grossman, Ophir Frieder, ''Information Retrieval: Algorithms and Heuristics'', 2nd edition, 2004, For example, although social media recommender systems are commonly called "algorithms", they actually rely on heuristics as there is no truly "correct" recommendation. As an e ...
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