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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
199093 changed files with 3378972 additions and 0 deletions
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9
Task/Pascal-matrix-generation/Mathematica/pascal-matrix-generation-1.math Normal file
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symPascal[size_] := NestList[Accumulate, Table[1, {k, size}], size - 1]
upperPascal[size_] := CholeskyDecomposition[symPascal@size]
lowerPascal[size_] := Transpose@CholeskyDecomposition[symPascal@size]
Column[MapThread[
Labeled[Grid[#1@5], #2, Top] &, {{upperPascal, lowerPascal,
symPascal}, {"Upper", "Lower", "Symmetric"}}]]

3
Task/Pascal-matrix-generation/Mathematica/pascal-matrix-generation-2.math Normal file
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lowerPascal[size_] :=
MatrixExp[
SparseArray[{Band[{2, 1}] -> Range[size - 1]}, {size, size}]]]