mathematical notation, ordered set operators indicate whether an object precedes or succeeds another. These relationship operators are denoted by the unicode...

families". A set together with a closure operator on it is sometimes called a closure space. Closure operators are also called "hull operators", which prevents...

in fuzzy logic, the ordered weighted averaging (OWA) operators provide a parameterized class of mean type aggregation operators. They were introduced...

real associative algebra. Positive-definite operators correspond to the positive reals and normal operators correspond to the complex numbers. Mathematics...

relations. Any set of sets closed under the set-theoretic operations forms a Boolean algebra with the join operator being union, the meet operator being intersection...

mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept first arose...

for the maximum and supremum operators, while positive infinity is the identity element for the minimum and infimum operators. In any topological space X...

a set form a partially ordered set (poset) for inclusion. Closure operators allow generalizing the concept of closure to any partially ordered set. Given...

In mathematics, an upper set (also called an upward closed set, an upset, or an isotone set in X) of a partially ordered set ( X , ≤ ) {\displaystyle...

mathematics, specifically set theory, the Cartesian product of two sets A and B, denoted A × B, is the set of all ordered pairs (a, b) where a is an...

structure. Vertex operator algebra Von Neumann algebra: a *-algebra of operators on a Hilbert space equipped with the weak operator topology. Algebraic...

built from them are called differential operators, integral operators or integro-differential operators. Operator is also used for denoting the symbol of...

building and meet one night when their bosses need dinner. Harper has ordered dinner for Kirsten but has no cash to pay for it; Charlie, who was not...

the validity of inferences in term logic). Set theory is used to introduce students to logical operators (NOT, AND, OR), and semantic or rule description...

independent sets; bases or circuits; rank functions; closure operators; and closed sets or flats. In the language of partially ordered sets, a finite simple...

well ordered. The most common numerical relational operators used in programming languages are shown below. Standard SQL uses the same operators as BASIC...

way. These symbols are called logical connectives, logical operators, propositional operators, or, in classical logic, truth-functional connectives. For...

the rational numbers to any totally ordered set by defining a Dedekind cut as a partition of a totally ordered set into two non-empty parts A and B, such...

(abbreviated inf; pl.: infima) of a subset S {\displaystyle S} of a partially ordered set P {\displaystyle P} is the greatest element in P {\displaystyle P} that...

by operators. To know the result of making two physical observations at two points z {\displaystyle z} and w {\displaystyle w} , their operators can...

then a ≤ c (transitivity). A set with a partial order on it is called a partially ordered set, poset, or just ordered set if the intended meaning is clear...

^{n}} can also be specified as a row or column matrix containing the ordered set of components. A vector specified as a row matrix is known as a row vector;...

greatest lower bounds (infima, ∧) Upper sets and lower sets Ideals and filters Closure operators and kernel operators. Examples of notions which are self-dual...

Brazilian operators: Bahia State Public Security Maranhão State Public Security Ceará Public Security Minas Gerais Fire Department Canada Canadian operators Royal...

subdisciplines of order theory and abstract algebra. It consists of a partially ordered set in which every pair of elements has a unique supremum (also called a...

connection is a particular correspondence (typically) between two partially ordered sets (posets). Galois connections find applications in various mathematical...

the Pakistan Air Force (PAF), a major non-NATO US ally, are the primary operators of the aircraft. With the evolution of sales under Foreign Military Sales...

relation over sets X {\displaystyle X} and Y {\displaystyle Y} is a set of ordered pairs ( x , y ) {\displaystyle (x,y)} , where x {\displaystyle x} is...

order filter in the special case where the partially ordered set consists of the power set ordered by set inclusion. In this article, upper case Roman letters...

than 16/(4/4) = 16; such operators are referred to as "left associative". Exceptions exist; for example, languages with operators corresponding to the cons...