J = np.concatenate((np.arange(k), np. y reshape(y, m p) flatten matrix b (y(1:(m-1),:) + y(2:m,:)) / 2 c repmat(diff(x).', 1 p) a zeros(1 p) cumsum(b. ,rowdefN where each row consists of one or more elements, seperated by commas. Matrices can be defined using the following syntax. M = np.arange(1, n*n+1, n) + np.arange(n) cell2mat - Convert the contents of a cell array into a single matrix. The matrix is the basic datatype of FreeMat. excerpted from the function magic.m, creates a magic square M for odd values of n. Return n*np.mod(p + p - (n+3)//2, n) + np.mod(p + 2*p-2, n) + 1 MATLAB allows matrix manipulations, plotting of functions and data. For example, a magic square remains magic when its numbers are multiplied by any constant. A magic square remains magic when all of its numbers undergo the same linear transformation (i.e., a function of the form f(x) m x + b). Andrew asks: Can you show both sides of the card 1. The sum of any two magic squares of the same order by matrix addition is a magic square. Paul answers: That was actually possible with matrix art lol. FreeMat is a free environment for rapid engineering and scientific prototyping and data. Indeed, this is a magic square, subject to only one flaw - that the elements are not all distinct integers from the set 1:n2. Raise ValueError("Size must be at least 3") Matt answers: The key update is: 'Each hole can now move one by one, disappear and then reappear one by one' 3. If A is a matrix, max(A) treats the columns of A as vectors. I think you will agree that this matrix is indeed a magic square, in the sense that it is entirely integer, that each row and each column, as well as the anti-diagonals all sum to 6. This implementation follows Matlab's and should give exactly the same results with the following exception: it throws an error if n < 3 rather than return a non-magic square, ] when n=2 like Matlab does.Īs usual, there are three cases: odd, divisible by 4, and even but not divisible by 4, the last one being the most complicated.
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