Combinatorial Sentence Examples

It is shown in the article on Combinatorial Analysis that (w; 0,n) is the coefficient of a e z w in the ascending expansion of the fraction 1-a.

See further COMBINATORIAL ANALYSIS.

Pfaff's researches bore chiefly on the theory of series, to which he applied the methods of the so-called combinatorial school of German mathematicians, and on the solution of differential equations.

The mathematical theory of probability and the allied theory of the combinatorial analysis were in effect created by the correspondence between Pascal and Fermat, concerning certain questions as to the division of stakes in games of chance, which had been propounded to the former by the gaming philosopher De Mere.

Furthermore, we are expanding the scope of our studies of dynamic combinatorial chemistry.

Also, you will need to know very basic combinatorial concepts, in particular binomial coefficients.

But beside consistency checks, there are other, often overlooked, sources of complexity that are purely combinatorial.

He described problems with workflows and ontologies and the " combinatorial explosion " .

These algorithms have found to be very good at solving hard real-world combinatorial optimization problems.

For the subjects of this general heading see the articles ALGEBRA; ALGEBRAIC FORMS; ARITHMETIC; COMBINATORIAL ANALYSIS; DETERMINANTS; EQUATION; FRACTION, CONTINUED; INTERPOLATION; LOGARITHMS; MAGIC SQUARE; PROBABILITY.

The multi- (or poly-) nomial theorem has for its object the expansion of any power of a multinomial and was discussed in 1697 by Abraham Demoivre (see Combinatorial Analysis).