- In mathematics, a set A is a
subset of a set B if all
elements of A are also
elements of B; B is then a su****t of A. It is
possible for A and B to be...
- The
subset sum
problem (SSP) is a
decision problem in
computer science. In its most
general formulation,
there is a
multiset S {\displaystyle S} of integers...
-
Relatively compact subspace, a
subset whose closure is
compact Totally bounded set, a
subset that can be
covered by
finitely many
subsets of
fixed size This disambiguation...
- mean A is any
subset of B (and not
necessarily a
proper subset),
while others reserve A ⊂ B and B ⊃ A for
cases where A is a
proper subset of B. Examples:...
- in the
choice of open sets. For example,
every subset can be open (the
discrete topology), or no
subset can be open
except the
space itself and the empty...
- operation. This
should not be
confused with a
closed manifold. By definition, a
subset A {\displaystyle A} of a
topological space ( X , τ ) {\displaystyle (X,\tau...
- In
topology and
related areas of mathematics, a
subset A of a
topological space X is said to be
dense in X if
every point of X
either belongs to A or else...
-
abstract algebra, a
multiplicatively closed set (or
multiplicative set) is a
subset S of a ring R such that the
following two
conditions hold: 1 ∈ S {\displaystyle...
-
definitions of
other related terms. The
meagre subsets of a
fixed space form a σ-ideal of
subsets; that is, any
subset of a
meagre set is meagre, and the union...
- ∅ . {\displaystyle V=\varnothing .} By the
definition of
subset, the
empty set is a
subset of any set A. That is,
every element x of ∅ {\displaystyle...
