- Look up
antisymmetric in Wiktionary, the free dictionary.
Antisymmetric or skew-symmetric may
refer to:
Antisymmetry in
linguistics Antisymmetry in physics...
-
binary relation R {\displaystyle R} on a set X {\displaystyle X} is
antisymmetric if
there is no pair of
distinct elements of X {\displaystyle X} each...
- In
mathematics and
theoretical physics, a
tensor is
antisymmetric on (or with
respect to) an
index subset if it
alternates sign (+/−) when any two indices...
- In Physics,
antisymmetric exchange, also
known as the Dzyaloshinskii–Moriya
interaction (DMI), is a
contribution to the
total magnetic exchange interaction...
- In mathematics,
particularly in
linear algebra, a skew-symmetric (or
antisymmetric or antimetric)
matrix is a
square matrix whose transpose equals its...
-
names include the
permutation symbol,
antisymmetric symbol, or
alternating symbol,
which refer to its
antisymmetric property and
definition in
terms of...
- words, more than one
identical particle cannot occupy an
antisymmetric state (one
antisymmetric state can be
occupied only by one particle). This is known...
- in V;
alternating if B(v, v) = 0 for all v in V; skew-symmetric or
antisymmetric if B(v, w) = −B(w, v) for all v, w in V;
Proposition Every alternating...
- are
almost partial orders, but not quite, as they are not
necessarily antisymmetric. A
natural example of a
preorder is the
divides relation "x divides...
- case for "is less than or
equal to" and "preys on").
Symmetric and
antisymmetric (where the only way a can be
related to b and b be
related to a is if...