Titlebook: Extremal Combinatorics; With Applications in Stasys Jukna Textbook 20011st edition Springer-Verlag Berlin Heidelberg 2001 Diskrete Mathemat

遭遇

非秘密

Advanced CountingWhen properly applied, the (double) counting argument can lead to more subtle results than those discussed in the previous chapter.

heckle

The Principle of Inclusion and ExclusionThe . (sieve of Eratosthenes) is a powerful tool in the theory of enumeration as well as in number theory. This principle relates the cardinality of the union of certain sets to the cardinalities of intersections of some of them, these latter cardinalities often being easier to handle.

丛林

The Pigeonhole PrincipleThe . (also known as .) states the “obvious” fact that . + 1 pigeons cannot sit in . holes so that every pigeon is alone in its hole. More generally, the pigeonhole principle states the following:

frenzy

Systems of Distinct RepresentativesA . for a sequence of (not necessarily distinct) sets .., .., . . ., .. is a sequence of distinct elements .., .., . . ., .. such that .. ∈ .. for all . = 1, 2, . . ., ..

凝乳

细颈瓶

定点

织布机

The Basic MethodThe general frame for the . in combinatorics is the following: if we want to come up with an upper bound on the size of a set of objects, associate them with elements in a vector space . of relatively low dimension, and show that these elements are linearly independent; hence, we cannot have more objects in our set than the dimension of ..

maculated

Jochen Wermuth,Clara Vondrichre dependence of the growth rate of phytoplankton, and the remineralization rate of detritus, as well as the variable sinking velocity of phytoplankton. Model simulations from spring to autumn of the years 1994 and 1995 were performed to investigate the effect of external forcing to the chemical-bio