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DP1DP2 ... Dy,. (lal) (i*2) ... (Pm) = A, and the See also:law by which the operation is performed upon the product shows that the solutions of the given problem are enumerated by the number A, and that the See also:process of operation actually represents each See also:solution. Ex. Gr.—Take a1=3, X2=2, 711=I, p1=2, P2=2, P3=11 P4=I, D z D 1a3a2a1= 8, and the process yields the eight diagrams: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 I 1 1 1 1 1 ~1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 viz. every solution of the problem. Observe that transposition of the diagrams furnishes a See also:proof of the simplest of the See also:laws of symmetry in the theory of symmetric functions. For the next example we have a similar problem, but no restriction is placed upon the magnitude of the See also:numbers which may appear in the compartments. The See also:function is now halhr2... See also:ham, h„. being the homogeneous product sum of the quantities a, of See also:order X. The operator is as before DP1Dp2 ... Dp... End of Article: DP1DP2Additional information and CommentsThere are no comments yet for this article.
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