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87 relations: Absolute difference, Adaptive mesh refinement, Algebra, Analytic geometry, Array data type, Ball (mathematics), Binary tree, Borel measure, Bounded set, Cartesian product, Closed set, Complex number, Complex plane, Computer science, Connectedness, Continuous function, Convex hull, Convex set, Coordinate system, Cube, Cuboid, Decimal separator, Derrick Henry Lehmer, Diameter, Dimension, Direct product, Disk (mathematics), Empty set, Extended real number line, General topology, Hypercube, Hyperrectangle, Ideal (ring theory), Identity component, Identity element, Indexed family, Inequality (mathematics), Infinity, Integer, Integral, Intermediate value theorem, International standard, Interval arithmetic, Interval finite element, Interval graph, ISO 31-11, Izvestiya: Mathematics, Lebesgue measure, Linear algebra, Mathematical Reviews, ..., Mathematical structure, Mathematics, Maxima and minima, Metric space, Midpoint, Multigrid method, Multiplicative inverse, Nicolas Bourbaki, Numerical method, Open set, P-adic analysis, Pascal (programming language), Point (geometry), Positive real numbers, Programming language, Quadrant (plane geometry), Rational number, Real number, Rectangle, Region (mathematics), Ring homomorphism, Round-off error, Semicolon, Set (mathematics), Set-builder notation, Singleton (mathematics), Split-complex number, Square, Topological ring, Topology, Total order, Trichotomy (mathematics), Tuple, Unit (ring theory), Vector (mathematics and physics), Wavelet, Wolfram Demonstrations Project. Expand index (37 more) »
Absolute difference
The absolute difference of two real numbers x, y is given by |x − y|, the absolute value of their difference.
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Adaptive mesh refinement
In numerical analysis, adaptive mesh refinement, or AMR, is a method of adapting the accuracy of a solution within certain sensitive or turbulent regions of simulation, dynamically and during the time the solution is being calculated.
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Algebra
Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.
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Analytic geometry
In classical mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system.
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Array data type
Language support for array types may include certain built-in array data types, some syntactic constructions (array type constructors) that the programmer may use to define such types and declare array variables, and special notation for indexing array elements.
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Ball (mathematics)
In mathematics, a ball is the space bounded by a sphere.
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Binary tree
In computer science, a binary tree is a tree data structure in which each node has at most two children, which are referred to as the and the.
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Borel measure
In mathematics, specifically in measure theory, a Borel measure on a topological space is a measure that is defined on all open sets (and thus on all Borel sets).
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Bounded set
In mathematical analysis and related areas of mathematics, a set is called bounded, if it is, in a certain sense, of finite size.
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Cartesian product
In set theory (and, usually, in other parts of mathematics), a Cartesian product is a mathematical operation that returns a set (or product set or simply product) from multiple sets.
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Closed set
In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set.
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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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Complex plane
In mathematics, the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the perpendicular imaginary axis.
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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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Connectedness
In mathematics, connectedness is used to refer to various properties meaning, in some sense, "all one piece".
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Continuous function
In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
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Convex hull
In mathematics, the convex hull or convex envelope or convex closure of a set X of points in the Euclidean plane or in a Euclidean space (or, more generally, in an affine space over the reals) is the smallest convex set that contains X. For instance, when X is a bounded subset of the plane, the convex hull may be visualized as the shape enclosed by a rubber band stretched around X., p. 3.
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Convex set
In convex geometry, a convex set is a subset of an affine space that is closed under convex combinations.
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Coordinate system
In geometry, a coordinate system is a system which uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
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Cube
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.
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Cuboid
In geometry, a cuboid is a convex polyhedron bounded by six quadrilateral faces, whose polyhedral graph is the same as that of a cube.
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Decimal separator
A decimal separator is a symbol used to separate the integer part from the fractional part of a number written in decimal form.
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Derrick Henry Lehmer
Derrick Henry "Dick" Lehmer (February 23, 1905 – May 22, 1991) was an American mathematician who refined Édouard Lucas' work in the 1930s and devised the Lucas–Lehmer test for Mersenne primes.
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Diameter
In geometry, a diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.
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Dimension
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.
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Direct product
In mathematics, one can often define a direct product of objects already known, giving a new one.
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Disk (mathematics)
In geometry, a disk (also spelled disc).
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Empty set
In mathematics, and more specifically set theory, the empty set or null set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero.
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Extended real number line
In mathematics, the affinely extended real number system is obtained from the real number system by adding two elements: and (read as positive infinity and negative infinity respectively).
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General topology
In mathematics, general topology is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology.
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Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
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Hyperrectangle
In geometry, an n-orthotopeCoxeter, 1973 (also called a hyperrectangle or a box) is the generalization of a rectangle for higher dimensions, formally defined as the Cartesian product of intervals.
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Ideal (ring theory)
In ring theory, a branch of abstract algebra, an ideal is a special subset of a ring.
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Identity component
In mathematics, the identity component of a topological group G is the connected component G0 of G that contains the identity element of the group.
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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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Indexed family
In mathematics, an indexed family is informally a collection of objects, each associated with an index from some index set.
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Inequality (mathematics)
In mathematics, an inequality is a relation that holds between two values when they are different (see also: equality).
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Infinity
Infinity (symbol) is a concept describing something without any bound or larger than any natural number.
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Integer
An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").
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Integral
In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.
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Intermediate value theorem
In mathematical analysis, the intermediate value theorem states that if a continuous function, f, with an interval,, as its domain, takes values f(a) and f(b) at each end of the interval, then it also takes any value between f(a) and f(b) at some point within the interval.
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International standard
International standards are standards developed by international standards organizations.
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Interval arithmetic
Interval arithmetic, interval mathematics, interval analysis, or interval computation, is a method developed by mathematicians since the 1950s and 1960s, as an approach to putting bounds on rounding errors and measurement errors in mathematical computation and thus developing numerical methods that yield reliable results.
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Interval finite element
In numerical analysis, the interval finite element method (interval FEM) is a finite element method that uses interval parameters.
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Interval graph
In graph theory, an interval graph is the intersection graph of a family of intervals on the real line.
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ISO 31-11
ISO 31-11:1992 was the part of international standard ISO 31 that defines mathematical signs and symbols for use in physical sciences and technology.
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Izvestiya: Mathematics
Izvestiya: Mathematics is the English translation of the Russian mathematical journal Izvestiya Rossiiskoi Akademii Nauk, Seriya Matematicheskaya which was founded in 1937.
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Lebesgue measure
In measure theory, the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a measure to subsets of n-dimensional Euclidean space.
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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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Mathematical Reviews
Mathematical Reviews is a journal published by the American Mathematical Society (AMS) that contains brief synopses, and in some cases evaluations, of many articles in mathematics, statistics, and theoretical computer science.
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Mathematical structure
In mathematics, a structure on a set is an additional mathematical object that, in some manner, attaches (or relates) to that set to endow it with some additional meaning or significance.
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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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Metric space
In mathematics, a metric space is a set for which distances between all members of the set are defined.
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Midpoint
In geometry, the midpoint is the middle point of a line segment.
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Multigrid method
Multigrid (MG) methods in numerical analysis are algorithms for solving differential equations using a hierarchy of discretizations.
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Multiplicative inverse
In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1.
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Nicolas Bourbaki
Nicolas Bourbaki is the collective pseudonym under which a group of (mainly French) 20th-century mathematicians, with the aim of reformulating mathematics on an extremely abstract and formal but self-contained basis, wrote a series of books beginning in 1935.
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Numerical method
In numerical analysis, a numerical method is a mathematical tool designed to solve numerical problems.
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Open set
In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line.
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P-adic analysis
In mathematics, p-adic analysis is a branch of number theory that deals with the mathematical analysis of functions of ''p''-adic numbers.
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Pascal (programming language)
Pascal is an imperative and procedural programming language, which Niklaus Wirth designed in 1968–69 and published in 1970, as a small, efficient language intended to encourage good programming practices using structured programming and data structuring. It is named in honor of the French mathematician, philosopher and physicist Blaise Pascal. Pascal was developed on the pattern of the ALGOL 60 language. Wirth had already developed several improvements to this language as part of the ALGOL X proposals, but these were not accepted and Pascal was developed separately and released in 1970. A derivative known as Object Pascal designed for object-oriented programming was developed in 1985; this was used by Apple Computer and Borland in the late 1980s and later developed into Delphi on the Microsoft Windows platform. Extensions to the Pascal concepts led to the Pascal-like languages Modula-2 and Oberon.
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Point (geometry)
In modern mathematics, a point refers usually to an element of some set called a space.
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Positive real numbers
In mathematics, the set of positive real numbers, \mathbb_.
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Programming language
A programming language is a formal language that specifies a set of instructions that can be used to produce various kinds of output.
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Quadrant (plane geometry)
The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes.
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Rational number
In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.
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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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Rectangle
In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles.
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Region (mathematics)
In mathematical analysis, the word region usually refers to a subset of \R^n or \C^n that is open (in the standard Euclidean topology), connected and non-empty.
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Ring homomorphism
In ring theory or abstract algebra, a ring homomorphism is a function between two rings which respects the structure.
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Round-off error
A round-off error, also called rounding error, is the difference between the calculated approximation of a number and its exact mathematical value due to rounding.
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Semicolon
The semicolon or semi colon is a punctuation mark that separates major sentence elements.
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Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
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Set-builder notation
In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements or stating the properties that its members must satisfy.
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Singleton (mathematics)
In mathematics, a singleton, also known as a unit set, is a set with exactly one element.
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Split-complex number
In abstract algebra, a split complex number (or hyperbolic number, also perplex number, double number) has two real number components x and y, and is written z.
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Square
In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted.
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Topological ring
In mathematics, a topological ring is a ring R which is also a topological space such that both the addition and the multiplication are continuous as maps where R × R carries the product topology.
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Topology
In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.
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Total order
In mathematics, a linear order, total order, simple order, or (non-strict) ordering is a binary relation on some set X, which is antisymmetric, transitive, and a connex relation.
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Trichotomy (mathematics)
In mathematics, the law of trichotomy states that every real number is either positive, negative, or zero.
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Tuple
In mathematics, a tuple is a finite ordered list (sequence) of elements.
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Unit (ring theory)
In mathematics, an invertible element or a unit in a (unital) ring is any element that has an inverse element in the multiplicative monoid of, i.e. an element such that The set of units of any ring is closed under multiplication (the product of two units is again a unit), and forms a group for this operation.
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Vector (mathematics and physics)
When used without any further description, vector usually refers either to.
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Wavelet
A wavelet is a wave-like oscillation with an amplitude that begins at zero, increases, and then decreases back to zero.
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Wolfram Demonstrations Project
The Wolfram Demonstrations Project is an organized, open-source collection of small (or medium-size) interactive programs called Demonstrations, which are meant to visually and interactively represent ideas from a range of fields.
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Bounded interval, Closed interval, Degenerate interval, Dyadic interval, Half-closed interval, Half-open interval, Interval (analysis), Interval Notation, Interval notation, Interval of the real line, Interval on the real line, Open interval, Range notation, Semi-open interval, Values interval.
References
[1] https://en.wikipedia.org/wiki/Interval_(mathematics)
