10 ENGLISH BOOKS RELATING TO «SUBFACTORIAL»
Discover the use of
subfactorial in the following bibliographical selection. Books relating to
subfactorial and brief extracts from same to provide context of its use in English literature.
1
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
.
2
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.
3
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,
...
4
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 ...
5
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 ...
6
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,
...
7
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
8
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 ...
9
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
...
