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Excel maintains 15 figures in its numbers, but they are not always accurate; mathematically, the bottom line should be the same as the top line, in 'fp-math' the step '1 + 1/9000' leads to a rounding up as the first bit of the 14 bit tail '10111000110010' of the mantissa falling off the table when adding 1 is a '1', this up-rounding is not undone when subtracting the 1 again, since there is no ...
A Graeco-Latin square or Euler square or pair of orthogonal Latin squares of order n over two sets S and T (which may be the same), each consisting of n symbols, is an n × n arrangement of cells, each cell containing an ordered pair (s, t), where s is in S and t is in T, such that every row and every column contains each element of S and each element of T exactly once, and that no two cells ...
Two Latin squares, L 1 and L 2 of size n are isotopic if there are three bijections from the rows, columns and symbols of L 1 onto the rows, columns and symbols of L 2, respectively, that map L 1 to L 2. [1] Isotopy is an equivalence relation and the equivalence classes are called isotopy classes. A stronger form of equivalence exists.
Whether you’re looking for a delicious one-pot meal, a veggie-packed salad or a hearty casserole, these flavorful dinner recipes highlight one of our favorite protein sources: chicken!
A "prolific and chilling" sex abuser from Northern Ireland has been sentenced to 27 years in prison. David John Andrews, 55, with an address at Maghaberry Prison, pleaded guilty to 130 charges of ...
Microsoft Excel is a spreadsheet editor developed by Microsoft for Windows, macOS, Android, iOS and iPadOS.It features calculation or computation capabilities, graphing tools, pivot tables, and a macro programming language called Visual Basic for Applications (VBA).
Marco Odermatt is back to his imperious best. Odermatt followed up his first win in Val Gardena in Saturday’s downhill by winning a World Cup giant slalom on Sunday as he continued to dominate ...
For odd square, since there are (n - 1)/2 same sided rows or columns, there are (n - 1)(n - 3)/8 pairs of such rows or columns that can be interchanged. Thus, there are 2 (n - 1)(n - 3)/8 × 2 (n - 1)(n - 3)/8 = 2 (n - 1)(n - 3)/4 equivalent magic squares obtained by combining such interchanges. Interchanging all the same sided rows flips each ...