КНИГИ НА АНГЛИЙСКИЙ ЯЗЫКЕ, ИМЕЮЩЕЕ ОТНОШЕНИЕ К СЛОВУ «BIJECTION»
Поиск случаев использования слова
bijection в следующих библиографических источниках. Книги, относящиеся к слову
bijection, и краткие выдержки из этих книг для получения представления о контексте использования этого слова в литературе на английский языке.
1
Discrete Mathematics for New Technology, Second Edition
Theorem 5.7 (i) The composite of two bijections is a bijection. (ii) If / : A -> B is a
bijection, where A and B are finite sets, then \A\ = \B\. Note that the converse of (i)
is false — if a composite function g o f is bijective, it does not follow that both / and
...
Rowan Garnier, John Taylor, 2001
2
Patterns in Permutations and Words
We call this bijection the standard bijection and we describe it below. The
standard bijection can be obtained by reformulating the bijection from 312-
avoiding permutations to “stack words,” given by Knuth [540, pp.242–243]. Also,
this bijection ...
The function / : {0, 1, . . . , n] —> {1, 2, . . . , n + 1} given by /(fc) = + 1 is a bijection.
9. The function / : {n2, n2 + 1, . . . , (n + l)2} -> {1, 2, . . . , 2n + 1} given by f(k) = k -
n2 + 1 is a bijection. II. The function / : N -> Z~ given by = — n - 1 is a bijection. 13.
4
Foundations of Logic and Mathematics: Applications to ...
The present text has defined a set to be finite if and only if there exists a bijection
onto a natural number, and infinite if and only if there does not exist any such
bijection. There exists a different definition of infinite sets, called "Dedekind-
infinite" ...
A - > [0, m + 1] is a bijection. So A is finite I A I < m + 1 by definition of I A I. But m +
1 < n + 1, so I A I < n + 1 as required. Corollary If B is finite and A injection B, then
A is finite. In particular, if B is finite and AcB, then A is finite. Proof | If B is finite, ...
6
Logic for Mathematicians
In other words, a set A is countable if there is a bijection /: DN -» A. Notice that the
elements of a countable set may be written out in a list, and that the bijection
given in the definition provides a method for doing this, namely enumerating /(O),
...
7
The Pearson Guide To Mathematics For The Iit-Jee, 3/E
Inverse of a bijection is also a bijection function. Explanation Let /: A — > B be a
bijection and g: B -> A be its inverse. To show: g is a bijection. Injectivity: Let y^y2
e B be such that giy^) = x} and g(y2)=x2 Since g is the inverse of f, therefore, ...
8
Topology and Its Applications
The basic idea is that two sets A and B have the same cardinality if there is a
bijection from A to B. Since the domain and range of the bijection is not relevant
here, we often refer to a bijection from A to B as a bijection between the sets, or a
...
9
The Art of Proof: Basic Training for Deeper Mathematics
Here is what we mean when we say that two sets “have the same size”: The sets
A and B have the same cardinality (or have the same cardinal number) if there
exists a bijection A → B. A special case is that of finite sets, for example, {1,2,...,n}
...
Matthias Beck, Ross Geoghegan, 2010
10
Affine and Projective Geometry
If a' is an inner automorphism of ID, then any semilinear bijection (S,o) on a
vector space 7/ over l) is equivalent to a linear bijection. Proof: Let a(b) = aba“',
and define (S1, 01) by Sl(x) = S(a_'x), and ol(b) = 0(a“ lba). By Lemma 4, (S, a)
and (S l, ...
НОВОСТИ, В КОТОРЫХ ВСТРЕЧАЕТСЯ ТЕРМИН «BIJECTION»
Здесь показано, как национальная и международная пресса использует термин
bijection в контексте приведенных ниже новостных статей.
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about them having the same number of members (e.g. the bijection between the standard ordinals and the standard cardinals). So it seems that ... «ScienceBlogs, Июн 07»
