dual 音標拼音: [d'uəl] [d'ul]
a . 雙重的,雙的
n . 雙數
雙重的,雙的雙數
dual 邏輯被動自動對偶
LPSD
dual 自對偶
dual 雙
dual adj 1 :
consisting of or involving two parts or components usually in pairs ; "
an egg with a double yolk "; "
a double (
binary )
star "; "
double doors "; "
dual controls for pilot and copilot "; "
duple (
or double )
time consists of two (
or a multiple of two )
beats to a measure " [
synonym : {
double },
{
dual }, {
duple }]
2 :
having more than one decidedly dissimilar aspects or qualities ; "
a double (
or dual )
role for an actor "; "
the office of a clergyman is twofold ;
public preaching and private influence "-
R .
W .
Emerson ; "
every episode has its double and treble meaning "-
Frederick Harrison [
synonym : {
double },
{
dual }, {
twofold }, {
two -
fold }, {
treble }, {
threefold }, {
three -
fold }]
3 :
a grammatical number category referring to two items or units as opposed to one item (
singular )
or more than two items (
plural ); "
ancient Greek had the dual form but it has merged with the plural form in modern Greek "
Dual \
Du "
al \,
a . [
L .
dualis ,
fr .
duo two .
See {
Two }.]
Expressing ,
or consisting of ,
the number two ;
belonging to two ;
as ,
the dual number of nouns ,
etc .,
in Greek .
[
1913 Webster ]
Here you have one half of our dual truth . --
Tyndall .
[
1913 Webster ]
43 Moby Thesaurus words for "
dual ":
Janus -
like ,
ambidextrous ,
bifacial ,
bifold ,
biform ,
bifurcated ,
bilateral ,
binary ,
binate ,
biparous ,
bipartisan ,
bipartite ,
bivalent ,
conduplicate ,
dichotomous ,
disomatous ,
double ,
double -
barreled ,
double -
faced ,
duadic ,
dualistic ,
duple ,
duplex ,
duplicate ,
duplicated ,
dyadic ,
geminate ,
geminated ,
identical ,
matched ,
paired ,
second ,
secondary ,
twain ,
twin ,
twinned ,
two ,
two -
faced ,
two -
level ,
two -
ply ,
two -
sided ,
two -
story ,
twofold Every field of mathematics has a different
meaning of dual . Loosely , where there is some binary symmetry
of a theory , the image of what you look at normally under this
symmetry is referred to as the dual of your normal things .
In linear algebra for example , for any {vector space } V , over
a {field }, F , the vector space of {linear maps } from V to F is
known as the dual of V . It can be shown that if V is
finite -dimensional , V and its dual are {isomorphic } (though no
isomorphism between them is any more natural than any other ).
There is a natural {embedding } of any vector space in the dual
of its dual :
V -> V '': v -> (V ': w -> wv : F )
x ' is normally written as x with a horizontal bar above it ).
I .e . v '' is the linear map , from V ' to F , which maps any w to
the scalar obtained by applying w to v . In short , this
double -dual mapping simply exchanges the roles of function and
argument .
It is conventional , when talking about vectors in V , to refer
to the members of V ' as covectors .
1997 -03 -16 )
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