and (ii) all pairs of integers distant n/2 along any diagonal (major or broken) are complementary (i.e. they sum to n2 + 1). Only for squares of doubly even order. All pandiagonal squares of order
英:[ˈmædʒik skwɛə] 美:[ˈmædʒɪk skwɛr] magic square是什么意思 n. 纵横图,幻方;魔方; magic square英英释义 noun a square containing a number of integers arranged so that the sum of the numbers is the same in each row, column, and main diagonal and often in...
The meaning of MAGIC SQUARE is a square containing a number of integers arranged so that the sum of the numbers is the same in each row, column, and main diagonal and often in some or all of the other diagonals.
Equipped with a solid base of theoretical results, we are now ready to return to computations. We use Ehrhart theory to assist us in enumerating magic squares. Loosely speaking, a magic square is an n 脳 n array of integers (usually required to be positive, often restricted to the numbers...
If these integers are allocated to 3 columns with equal sums, that sum must be sum(1:9)/3 which is 15. There are eight possible ways to place a transparency on an overhead projec- tor. Similarly, there are eight magic squares of order three that are rotations and reflections of A. ...
We consecrate the circles, open the chamber with the magic squares, pass through. OpenSubtitles2018.v3 Creating magic squares is not easy. OpenSubtitles2018.v3 You’ve explained the significance of their design as “magic squares,” and the deeper meaning that might entail. Literature Euler'...
If n is complex, not an integer, or not scalar, then magic converts it into a usable integer with floor(real(double(n(1))). If you supply n less than 3, then magic returns either a nonmagic square, or the degenerate magic squares 1 and []. Data Types: single | double | int...
Noun1.magic square- a square matrix of n rows and columns; the first n^2 integers are arranged in the cells of the matrix in such a way that the sum of any row or column or diagonal is the same square matrix- a matrix with the same number of rows and columns ...
A 3 x 3 magic square is a 3 x 3 grid filled with distinct numbers from 1 to 9 such that each row, column, and both diagonals all have the same sum. Given an grid of integers, how many 3 x 3 "magic square" subgrids are there? (Each subgrid is contiguous). Example 1: Input:...
We define a magic square to be a square matrix whose entries are nonnegative integers and whose rows, columns, and main diagonals sum up to the same number. We prove structural results for the number of such squares as a function of the size of the matrix and the line sum. We give ex...