functional analysis, a subset T {\displaystyle T} of a topological vector space X {\displaystyle X} is said to be a total subset of X {\displaystyle X}...

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 superset of A. It is possible for A and B to be...

chain is sometimes defined as a synonym of totally ordered set, but generally refers to a totally ordered subset of a given partially ordered set. An extension...

( X , Y , b ) {\displaystyle (X,Y,b)} . A subset S {\displaystyle S} of Y {\displaystyle Y} is called total if for every x ∈ X {\displaystyle x\in X}...

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...

definitions coincide for subsets of a complete metric space, but not in general. A metric space ( M , d ) {\displaystyle (M,d)} is totally bounded if and only...

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...

The multiple subset sum problem is an optimization problem in computer science and operations research. It is a generalization of the subset sum problem...

is a bounded metric) if M is bounded as a subset of itself. Total boundedness implies boundedness. For subsets of Rn the two are equivalent. A metric space...

Berrington JE, Barge D, Fenton AC, Cant AJ, Spickett GP (May 2005). "Lymphocyte subsets in term and significantly preterm UK infants in the first year of life...

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...

(or relatively compact subset, or precompact subset) Y of a topological space X is a subset whose closure is compact. Every subset of a compact topological...

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...

A majority is more than half of a total. It is a subset of a set consisting of more than half of the set's elements. For example, if a group consists...

{\displaystyle S} can be given a total ordering which is well-ordered both forwards and backwards. That is, every non-empty subset of S {\displaystyle S} has...

branches of mathematics, a totally disconnected space is a topological space that has only singletons as connected subsets. In every topological space...

\mathbb {R} ^{n}} be an open subset. Then a function f : U → R m {\displaystyle f:U\to \mathbb {R} ^{m}} is said to be (totally) differentiable at a point...

is total if its linear span (the set of finite linear combinations) is dense in V. If V is a Hilbert space, an orthogonal basis is a total subset B of...

<x_{n_{P}}=b} . Definition 1.2. Let Ω be an open subset of Rn. Given a function f belonging to L1(Ω), the total variation of f in Ω is defined as V ( f , Ω...

from a set X to a set Y is a function from a subset S of X (possibly the whole X itself) to Y. The subset S, that is, the domain of f viewed as a function...

a property that seeks to generalize the notion of a closed and bounded subset of Euclidean space. The idea is that a compact space has no "punctures"...

in combinatorics, orders subsets of a given finite set by assigning a total order to the finite set, and converting subsets into increasing sequences...

Classification of Institutions of Higher Education. Research institutions are a subset of doctoral degree-granting institutions and conduct research. These institutions...

distribution of a subset of a collection of random variables is the probability distribution of the variables contained in the subset. It gives the probabilities...

a natural question here: if E is an arbitrary subset of the real line, does it have a 'mass' or 'total length'? As an example, we might ask what is the...

numbers and a fixed subset size, the first element of the moving average is obtained by taking the average of the initial fixed subset of the number series...

FTL: Faster Than Light is a roguelike game created by indie developer Subset Games, which was released for Windows, MacOS, and Linux in September 2012...

among other things, modeling the concepts of "is an element of" or "is a subset of" in set theory, without running into logical inconsistencies such as...

areas, rather than TC, a parameter representing of subset of TC is measured; examples include Total organic carbon (TOC), Particulate inorganic carbon...

described generatively as follows. For a collection T of subsets of X (that is, for any subset of the power set P(X) of X), let T σ {\displaystyle T_{\sigma...