和音 发表于 2025-3-26 23:03:32

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Medley 发表于 2025-3-27 04:47:59

Sascha C. Alff,Winfried HungertWhen properly applied, the (double) counting argument can lead to more subtle results than those discussed in the previous chapter.

evaculate 发表于 2025-3-27 07:23:35

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巡回 发表于 2025-3-27 13:19:23

https://doi.org/10.1007/978-3-642-24341-7The . (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:

发表于 2025-3-27 13:40:21

Innovation and Entrepreneurship,A . for a sequence of (not necessarily distinct) sets .., .., . . ., .. is a sequence of distinct elements .., .., . . ., .. such that .. ∈ .. for all . = 1, 2, . . ., ..

儿童 发表于 2025-3-27 21:48:08

Innovation: Kosten und Gewinnspannen,Partial ordered sets provide a common frame for many combinatorial configurations. Formally, a . (or ., for short) is a set . together with a binary relation < between its elements which is transitive and irreflexive: if . and . then ., but . and . cannot both hold. We write . if . or .. Elements . and . are . if either . or . (or both) hold.

NOT 发表于 2025-3-27 23:40:53

Dionysis Bochtis,Serafeim MoustakidisIn many applications (testing logical circuits, construction of .-wise independent random variables, etc.), vector sets . ⊆ {0,1}. with the following property play an important role:

易碎 发表于 2025-3-28 05:37:20

Innovation in BeratungsunternehmenThe use of combinatorial objects, called designs, originates from statistical applications. Let us assume that we wish to compare . varieties of wines. In order to make the testing procedure as fair as possible it is natural to require that:

拖网 发表于 2025-3-28 08:54:45

Peter Sänger,Victor SplittgerberThe 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 ..

AMITY 发表于 2025-3-28 14:08:27

NotationIn this section we give the notation that shall be standard throughout the book.
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查看完整版本: Titlebook: Extremal Combinatorics; With Applications in Stasys Jukna Textbook 20011st edition Springer-Verlag Berlin Heidelberg 2001 Diskrete Mathemat