Note that if any two sets are separated by closed neighbourhoods, then certainly they are separated by neighbourhoods. The sets A {\displaystyle A} and...

set theory in mathematics and formal logic, two sets are said to be disjoint sets if they have no element in common. Equivalently, two disjoint sets are...

Separated can refer to: Marital separation of spouses Legal separation of spouses "Separated" (song), song by Avant Separated sets, a concept in mathematical...

positively separated, while (3, 4) and (4, 5) are not. In two dimensions, the graph of y = 1/x for x > 0 and the x-axis are not positively separated. Rogers...

{\displaystyle X} and the empty set. X {\displaystyle X} cannot be written as the union of two non-empty separated sets (sets for which each is disjoint from...

f\in S} such that f ( x ) ≠ f ( y ) . {\displaystyle f(x)\neq f(y).} Separating sets can be used to formulate a version of the Stone–Weierstrass theorem...

type of delimiter-separated file format. Delimiters frequently used include the comma, tab, space, and semicolon. Delimiter-separated files are often given...

distinct, and any two separated points must be topologically distinguishable. Any two separated sets must be disjoint, any two sets separated by neighbourhoods...

concept of open sets. If we change the definition of 'open set', we change what continuous functions, compact sets, and connected sets are. Each choice...

sets have been released per year, in addition to various spin-off products. Magic has made three types of sets since Alpha and Beta: base/core sets,...

Tab-separated values (TSV) is a simple, text-based file format for storing tabular data. Records are separated by newlines, and values within a record...

Formats that use delimiter-separated values (also DSV): 113  store two-dimensional arrays of data by separating the values in each row with specific delimiter...

[0,1]. In fancier terms, disjoint closed sets are not only separated by neighbourhoods, but also separated by a function. More generally, the Tietze...

sets of natural numbers are called computably inseparable or recursively inseparable if they cannot be "separated" with a computable set. These sets arise...

usually not called folliculitis, as that term is usually reserved for the separate set of disease entities comprising infected and inflamed hair follicles with...

Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any...

well-separated pair decomposition (WSPD) of a set of points S ⊂ R d {\displaystyle S\subset \mathbb {R} ^{d}} , is a sequence of pairs of sets ( A i...

disjoint convex sets in n-dimensional Euclidean space. There are several rather similar versions. In one version of the theorem, if both these sets are closed...

open sets in X are open, or equivalently, if arbitrary unions of closed sets are closed, or, again equivalently, if the open sets are the upper sets of...

every pair of disjoint compact sets can also be separated by neighborhoods, in other words there is a neighborhood of one set and a neighborhood of the other...

known as grade-separated junctions in the UK A flying junction, a type of grade-separated junction found on railway lines This set index article includes...

consider infinite sets, that is sets whose number of members is not a natural number. Specifically, a line was not considered as the set of its points, but...

portfolio choices for many periods can be made separately Separated sets, related concept in topology, two sets disjoint from the other's closure Separation...

certain factors in the workplace that cause job satisfaction while a separate set of factors cause dissatisfaction, all of which act independently of each...

responsible for a team of Art Directors, each drafting separate sets or sections of a single set. Construction supervisors interpret the drawings and allocate...

quasi-compact). A scheme X is called quasi-separated if the morphism to Spec Z is quasi-separated. Quasi-separated algebraic spaces and algebraic stacks and...

Algebra of sets – Identities and relationships involving sets Intersection (set theory) – Set of elements common to all of some sets List of set identities...

Nathan Witt, were separated as infants, in part, to participate in a "nature versus nurture" twin study. They were adopted by separate families in the New...

disjoint closed sets can be separated by a continuous function. The sets A {\displaystyle A} and B {\displaystyle B} need not be precisely separated by f {\displaystyle...

open sets must contain p). Not regular Since every non-empty open set contains p, no closed set not containing p (such as X \ {p}) can be separated by neighbourhoods...