permutation 音标拼音: [p
, ɚmjut'eʃən]
n . 交换,排列
交换,排列
permutation 排列;置换
permutation 排列 置换
permutation n 1 :
an event in which one thing is substituted for another ;
"
the replacement of lost blood by a transfusion of donor blood " [
synonym : {
substitution }, {
permutation },
{
transposition }, {
replacement }, {
switch }]
2 :
the act of changing the arrangement of a given number of elements 3 :
complete change in character or condition ; "
the permutations ...
taking place in the physical world "-
Henry Miller 4 :
act of changing the lineal order of objects in a group Permutation \
Per `
mu *
ta "
tion \ (
p [~
e ]
r `
m [-
u ]"
t [=
a ]"
sn [
u ^]
n ),
n .
[
L .
permutatio :
cf .
F .
permutation .
See {
Permute }.]
1 .
The act of permuting ;
exchange of the thing for another ;
mutual transference ;
interchange .
[
1913 Webster ]
The violent convulsions and permutations that have been made in property . --
Burke .
[
1913 Webster ]
2 . (
Math .)
(
a )
The arrangement of any determinate number of things ,
as units ,
objects ,
letters ,
etc .,
in all possible orders ,
one after the other ; --
called also {
alternation }.
Cf . {
Combination },
n .,
4 .
(
b )
Any one of such possible arrangements .
[
1913 Webster ]
3 . (
Law )
Barter ;
exchange .
[
1913 Webster ]
{
Permutation lock },
a lock in which the parts can be transposed or shifted ,
so as to require different arrangements of the tumblers on different occasions of unlocking .
[
1913 Webster ]
60 Moby Thesaurus words for "
permutation ":
alteration ,
alternation ,
avatar ,
battledore and shuttlecock ,
catabolism ,
catalysis ,
commutation ,
consubstantiation ,
cooperation ,
counterchange ,
cross fire ,
displacement ,
exchange ,
give -
and -
take ,
heterotopia ,
innovation ,
interchange ,
intermutation ,
interplay ,
lex talionis ,
measure for measure ,
metabolism ,
metagenesis ,
metamorphism ,
metamorphosis ,
metastasis ,
metathesis ,
metempsychosis ,
modification ,
mutant ,
mutated form ,
mutation ,
mutual admiration ,
mutual support ,
mutual transfer ,
mutuality ,
novelty ,
quid pro quo ,
reciprocality ,
reciprocation ,
reciprocity ,
reincarnation ,
retaliation ,
something for something ,
sport ,
tit for tat ,
transanimation ,
transfiguration ,
transfigurement ,
transformation ,
transformism ,
translation ,
translocation ,
transmigration ,
transmogrification ,
transmutation ,
transposal ,
transposition ,
transubstantiation ,
vicissitude 1 . An ordering of a certain number of elements
of a given set .
For instance , the permutations of (1 ,2 ,3 ) are (1 ,2 ,3 ) (2 ,3 ,1 )
3 ,1 ,2 ) (3 ,2 ,1 ) (1 ,3 ,2 ) (2 ,1 ,3 ).
Permutations form one of the canonical examples of a "{group }"
they can be composed and you can find an inverse permutation
that reverses the action of any given permutation .
The number of permutations of r things taken from a set of n
is
n P r = n ! / (n -r )!
where "n P r " is usually written with n and r as subscripts
and n ! is the {factorial } of n .
What the football pools call a "permutation " is not a
permutation but a {combination } - the order does not matter .
2 . A {bijection } for which the {domain } and {range } are the
same set and so
f (f '(x )) = f '(f (x )) = x .
2001 -05 -10 )PERMUTATION ,
civil law .
Exchange ;
barter .
2 .
This contract is formed by the consent of the parties ,
but delivery is indispensable ;
for ,
without it ,
it mere agreement .
Dig .
31 ,
77 ,
4 ;
Code ,
4 ,
64 ,
3 .
3 .
Permutation differs from sale in this ,
that in the former a delivery of the articles sold must be made ,
while in the latter it is unnecessary .
It agrees with the contract of sale ,
however ,
in the following particulars :
1 .
That he to whom the delivery is made acquires the right or faculty of prescribing .
Dig .
41 ,
3 ,
4 ,
17 .
2 .
That the contracting parties are bound to guaranty to each other the title of the things delivered .
Code ,
4 ,
64 ,
1 .
3 .
That they are bound to take back the things delivered ,
when they have latent defects which they have concealed .
Dig .
21 ,
1 ,
63 .
See Aso &
Man .
Inst .
B .
2 ,
t .
16 ,
c .
1 ;
Nutation ;
Transfer .
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