遭遇
发表于 2025-3-28 17:37:27
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非秘密
发表于 2025-3-28 18:43:51
Advanced CountingWhen properly applied, the (double) counting argument can lead to more subtle results than those discussed in the previous chapter.
heckle
发表于 2025-3-29 00:41:11
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
发表于 2025-3-29 03:05:02
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
发表于 2025-3-29 09:49:34
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
发表于 2025-3-29 11:55:50
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细颈瓶
发表于 2025-3-29 16:44:07
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定点
发表于 2025-3-29 19:47:40
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织布机
发表于 2025-3-30 01:18:42
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
发表于 2025-3-30 06:46:07
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