Courier Corporation, 6 jul. 2004 - 642 páginas
This volume offers an account of the theorems employed in combinatory analysis, showing their connections and uniting them as parts of a general doctrine. Topics include symmetric functions, theory of the compositions of numbers, distributions upon a chessboard, and partitions of multipartite numbers. 1915, 1916, and 1920 editions.
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TABLE OF CONTENTS
positions of numbers 8
Application of the Master Theorem of Section III to produce
of route and determination of the number of lines of route which
placed in similar boxes Operation of Dm in this case 33
tribution of identical objects Elegant theorem of distribution
generating functions 178
algebraic algebraic fraction assemblage binomial coefficients bipartite number CHAPTER columns combinations compartments conjugate Connexion consider denote derived descending order diagrams differential operators Distribution Function distributions of objects Durfee square elementary functions elementary symmetric functions equal equation essential nodes exactly expression factors formula given graph Hence identity integers involve l-xf Latin Squares lattice permutations Law of Symmetry letters line of route linear function magic squares magnitude Master Theorem monomial symmetric functions multinomial theorem multipartite number multiplication MULTIPLICATION THEOREM number of compositions number of distributions number of partitions number of permutations objects of specification objects of type obtain operand parcels of type particular partition operators perfect partitions quantities regular graph relation respectively restriction result right-hand side rows SECT Section shewn shews similar objects similar parcels summation symbols Theory of Distributions type pqr uneven number unity weight whole number write zero