КНИГИ НА АНГЛИЙСКИЙ ЯЗЫКЕ, ИМЕЮЩЕЕ ОТНОШЕНИЕ К СЛОВУ «SUBFACTORIAL»
Поиск случаев использования слова
subfactorial в следующих библиографических источниках. Книги, относящиеся к слову
subfactorial, и краткие выдержки из этих книг для получения представления о контексте использования этого слова в литературе на английский языке.
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Mathematica Navigator: Mathematics, Statistics and Graphics
Subfactorial[n] (Ÿ6) Subfactorial ! n = n!⁄k=0n k! (the number of derangements of n
objects~ that is, the number of ways to permute n objects so that none is in its
natural place) Pochhammer[n, m] Pochhammer symbol HnLm = nHn + 1LHn + 2L
.
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Algebra, an Elementary Text-book for the Higher Classes of ...
17-19 SUBFACTORIAL n 25 We can now treat this equation exactly as we
treated equation (1) of § 16. ... thus formed is of considerable importance in the
present branch of mathematics, and has been called by Whitworth subfactorial n.
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Mathematica ® 3.0 Standard Add-on Packages
Discrete Mathematics • DiscreteMath l CombinatorialFunctions ' This package
defines the functions CatalanNumber, Hofstadter and Subfactorial that are used
in combinatorial analysis. Several related functions, such as Factorial, Factorial2,
...
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CRC Concise Encyclopedia of Mathematics, Second Edition
dl a 12 "13 d<£ ^23 S2 dg •V2 See also CANONICAL Box MATRIX, DIAGONAL,
SUPER- DIAGONAL, TRIDIAGONAL MATRIX References Faddeeva, V. N.
Computational Methods of Linear Algebra. New York: Dover, p. 50, 1958.
Subfactorial ...
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The Mathematics Dictionary
R.C. James. 399 400 403. Strophoid Subfactorial STROPH'OID, n. The plane
locus of a point on a variable line passing through a fixed point when the
distance from the describing point to the intersection of the line with the y-axis is
equal to ...
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FUNDAMENTALS OF DISCRETE MATHEMATICAL STRUCTURES
A permutation of n ordered objects in which no object is in its natural place is
called a derangement (or sometimes, a complete permutation) and the number of
such permutations is given by the subfactorial in. Using the binomial expression,
...
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Enumerative Combinatorics
is n-subfactorial (see Section 5.2). Let us determine the exponential generating
function D{t) = TDn-=eDt, D"=Dn. Note that the n-subfactorial Dn is connected
with the coincidence 6.2. UNIVARIATE GENERATING FUNCTIONS 199.
Charalambos A. Charalambides, 2002
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Origins of Mathematical Words: A Comprehensive Dictionary of ...
See theentriessuband diagonal. subfactorial The subfactorial function is the
integervalued function f with domain the natural numbers whose value at any
positive integer n is the number ofpermutationsa 1,a2 ,...,a nofthefirstn
positiveintegers 1 ...
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Problems for computer solution
A subfactorial is formed in two steps from the previous subf actor ial. Using !N for
subfactorial N, we have as a recursion formula !N= N • !(N - 1) + (-1)N with
subfactorial zero defined as unity. We would express the rule in words by saying
that in ...
Fred Joseph Gruenberger, George Jaffray, 1965
This command reads in a particular In[l]:= « DiscreteMath'CombinatorialFunctions
' Mathematica package. The Subfactorial function is defined In[2]:= Subfactorial[
10] in the package. Out[2]- 1334961 There are a number of subtleties associated
...
