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73 relations: Absolute value, Absorbing element, Abstract algebra, Basis (linear algebra), Benjamin Peirce, Binary operation, Biordered set, Boolean algebra, Cambridge University Press, Closure (topology), Closure operator, Complex number, Computer science, Constant function, Cyclic code, Database, Elevator, Event stream processing, Fixed point (mathematics), Floor and ceiling functions, Formal grammar, Free On-line Dictionary of Computing, Function (mathematics), Function composition, Functional programming, Hypertext Transfer Protocol, Idempotent matrix, Idempotent relation, Identity element, Identity function, Indecomposable module, Integer sequence, Intersection (set theory), Involution (mathematics), Iterated function, Join and meet, Kleene star, Lattice (order), Linear algebra, Linear map, List of matrices, Load/store architecture, Logical conjunction, Logical disjunction, Mathematics, Maxima and minima, Merriam-Webster, Method (computer programming), Michiel Hazewinkel, Modular arithmetic, ..., Module (mathematics), Multiplication, Necessity and sufficiency, Nilpotent, Operation (mathematics), Oxford English Dictionary, Page fault, Plane (geometry), Power set, Prettyprint, Projection (linear algebra), Pure function, Real number, Referential transparency, Ring (mathematics), Semiring, Side effect (computer science), Subroutine, Topological space, Truth value, Unary operation, Union (set theory), Vector space. Expand index (23 more) »
Absolute value
In mathematics, the absolute value or modulus of a real number is the non-negative value of without regard to its sign.
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Absorbing element
In mathematics, an absorbing element is a special type of element of a set with respect to a binary operation on that set.
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Abstract algebra
In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.
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Basis (linear algebra)
In mathematics, a set of elements (vectors) in a vector space V is called a basis, or a set of, if the vectors are linearly independent and every vector in the vector space is a linear combination of this set.
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Benjamin Peirce
Benjamin Peirce FRSFor HFRSE April 4, 1809 – October 6, 1880) was an American mathematician who taught at Harvard University for approximately 50 years. He made contributions to celestial mechanics, statistics, number theory, algebra, and the philosophy of mathematics.
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Binary operation
In mathematics, a binary operation on a set is a calculation that combines two elements of the set (called operands) to produce another element of the set.
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Biordered set
A biordered set ("boset") is a mathematical object that occurs in the description of the structure of the set of idempotents in a semigroup.
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Boolean algebra
In mathematics and mathematical logic, Boolean algebra is the branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0 respectively.
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Cambridge University Press
Cambridge University Press (CUP) is the publishing business of the University of Cambridge.
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Closure (topology)
In mathematics, the closure of a subset S of points in a topological space consists of all points in S together with all limit points of S. The closure of S may equivalently be defined as the union of S and its boundary, and also as the intersection of all closed sets containing S. Intuitively, the closure can be thought of as all the points that are either in S or "near" S. A point which is in the closure of S is a point of closure of S. The notion of closure is in many ways dual to the notion of interior.
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Closure operator
In mathematics, a closure operator on a set S is a function \operatorname: \mathcal(S)\rightarrow \mathcal(S) from the power set of S to itself which satisfies the following conditions for all sets X,Y\subseteq S |- | X \subseteq \operatorname(X) | (cl is extensive) |- | X\subseteq Y \Rightarrow \operatorname(X) \subseteq \operatorname(Y) | (cl is increasing) |- | \operatorname(\operatorname(X)).
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Complex number
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
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Computer science
Computer science deals with the theoretical foundations of information and computation, together with practical techniques for the implementation and application of these foundations.
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Constant function
In mathematics, a constant function is a function whose (output) value is the same for every input value.
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Cyclic code
In coding theory, a cyclic code is a block code, where the circular shifts of each codeword gives another word that belongs to the code.
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Database
A database is an organized collection of data, stored and accessed electronically.
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Elevator
An elevator (US and Canada) or lift (UK, Australia, Ireland, New Zealand, and South Africa, Nigeria) is a type of vertical transportation that moves people or goods between floors (levels, decks) of a building, vessel, or other structure.
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Event stream processing
Event stream processing, or ESP, is a set of technologies designed to assist the construction of event-driven information systems.
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Fixed point (mathematics)
In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is an element of the function's domain that is mapped to itself by the function.
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Floor and ceiling functions
In mathematics and computer science, the floor function is the function that takes as input a real number x and gives as output the greatest integer less than or equal to x, denoted \operatorname(x).
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Formal grammar
In formal language theory, a grammar (when the context is not given, often called a formal grammar for clarity) is a set of production rules for strings in a formal language.
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Free On-line Dictionary of Computing
The Free On-line Dictionary of Computing (FOLDOC) is an online, searchable, encyclopedic dictionary of computing subjects.
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Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
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Function composition
In mathematics, function composition is the pointwise application of one function to the result of another to produce a third function.
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Functional programming
In computer science, functional programming is a programming paradigm—a style of building the structure and elements of computer programs—that treats computation as the evaluation of mathematical functions and avoids changing-state and mutable data.
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Hypertext Transfer Protocol
The Hypertext Transfer Protocol (HTTP) is an application protocol for distributed, collaborative, and hypermedia information systems.
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Idempotent matrix
In linear algebra, an idempotent matrix is a matrix which, when multiplied by itself, yields itself.
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Idempotent relation
In mathematics, an idempotent binary relation R ⊆ X × X is one for which R ∘ R.
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Identity element
In mathematics, an identity element or neutral element is a special type of element of a set with respect to a binary operation on that set, which leaves other elements unchanged when combined with them.
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Identity function
Graph of the identity function on the real numbers In mathematics, an identity function, also called an identity relation or identity map or identity transformation, is a function that always returns the same value that was used as its argument.
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Indecomposable module
In abstract algebra, a module is indecomposable if it is non-zero and cannot be written as a direct sum of two non-zero submodules.
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Integer sequence
In mathematics, an integer sequence is a sequence (i.e., an ordered list) of integers.
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Intersection (set theory)
In mathematics, the intersection A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B (or equivalently, all elements of B that also belong to A), but no other elements.
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Involution (mathematics)
In mathematics, an involution, or an involutory function, is a function that is its own inverse, for all in the domain of.
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Iterated function
In mathematics, an iterated function is a function (that is, a function from some set to itself) which is obtained by composing another function with itself a certain number of times.
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Join and meet
In a partially ordered set P, the join and meet of a subset S are respectively the supremum (least upper bound) of S, denoted ⋁S, and infimum (greatest lower bound) of S, denoted ⋀S.
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Kleene star
In mathematical logic and computer science, the Kleene star (or Kleene operator or Kleene closure) is a unary operation, either on sets of strings or on sets of symbols or characters.
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Lattice (order)
A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra.
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Linear algebra
Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.
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Linear map
In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.
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List of matrices
This page lists some important classes of matrices used in mathematics, science and engineering.
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Load/store architecture
In computer engineering, a load/store architecture is an instruction set architecture that divides instructions into two categories: memory access (load and store between memory and registers), and ALU operations (which only occur between registers).
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Logical conjunction
In logic, mathematics and linguistics, And (∧) is the truth-functional operator of logical conjunction; the and of a set of operands is true if and only if all of its operands are true.
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Logical disjunction
In logic and mathematics, or is the truth-functional operator of (inclusive) disjunction, also known as alternation; the or of a set of operands is true if and only if one or more of its operands is true.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Maxima and minima
In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function (the global or absolute extrema).
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Merriam-Webster
Merriam–Webster, Incorporated is an American company that publishes reference books which is especially known for its dictionaries.
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Method (computer programming)
A method in object-oriented programming (OOP) is a procedure associated with a message and an object.
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Michiel Hazewinkel
Michiel Hazewinkel (born 22 June 1943) is a Dutch mathematician, and Emeritus Professor of Mathematics at the Centre for Mathematics and Computer and the University of Amsterdam, particularly known for his 1978 book Formal groups and applications and as editor of the Encyclopedia of Mathematics.
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Modular arithmetic
In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus (plural moduli).
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Module (mathematics)
In mathematics, a module is one of the fundamental algebraic structures used in abstract algebra.
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Multiplication
Multiplication (often denoted by the cross symbol "×", by a point "⋅", by juxtaposition, or, on computers, by an asterisk "∗") is one of the four elementary mathematical operations of arithmetic; with the others being addition, subtraction and division.
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Necessity and sufficiency
In logic, necessity and sufficiency are terms used to describe an implicational relationship between statements.
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Nilpotent
In mathematics, an element, x, of a ring, R, is called nilpotent if there exists some positive integer, n, such that xn.
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Operation (mathematics)
In mathematics, an operation is a calculation from zero or more input values (called operands) to an output value.
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Oxford English Dictionary
The Oxford English Dictionary (OED) is the main historical dictionary of the English language, published by the Oxford University Press.
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Page fault
A page fault (sometimes called #PF, PF or hard fault) is a type of exception raised by computer hardware when a running program accesses a memory page that is not currently mapped by the memory management unit (MMU) into the virtual address space of a process.
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Plane (geometry)
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.
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Power set
In mathematics, the power set (or powerset) of any set is the set of all subsets of, including the empty set and itself, variously denoted as, 𝒫(), ℘() (using the "Weierstrass p"),,, or, identifying the powerset of with the set of all functions from to a given set of two elements,.
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Prettyprint
Prettyprint (or pretty-print) is the application of any of various stylistic formatting conventions to text files, such as source code, markup, and similar kinds of content.
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Projection (linear algebra)
In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.
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Pure function
In computer programming, a function or expression is considered pure if its evaluation has no side effect, such as mutation of objects or output to I/O devices.
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Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
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Referential transparency
Referential transparency and referential opacity are properties of parts of computer programs.
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Ring (mathematics)
In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.
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Semiring
In abstract algebra, a semiring is an algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse.
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Side effect (computer science)
In computer science, a function or expression is said to have a side effect if it modifies some state outside its scope or has an observable interaction with its calling functions or the outside world besides returning a value.
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Subroutine
In computer programming, a subroutine is a sequence of program instructions that performs a specific task, packaged as a unit.
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Topological space
In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.
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Truth value
In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth.
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Unary operation
In mathematics, a unary operation is an operation with only one operand, i.e. a single input.
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Union (set theory)
In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection.
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Vector space
A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.
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References
[1] https://en.wikipedia.org/wiki/Idempotence
