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66 relations: Absorbing element, Additive identity, Affine plane, Affine space, Angular momentum operator, Barrelled space, Bilinear map, Bounded set (topological vector space), Category of rings, Conservation law, Cross product, Curl (mathematics), D-module, Differential geometry of curves, Dissipative operator, Division ring, Eigenvalues and eigenvectors, Empty sum, Equidissection, Function of a real variable, Function of several real variables, Generalized eigenvector, Glossary of calculus, Injective module, Integral domain, Kernel (algebra), Kernel (linear algebra), Krull's theorem, Leonhard Euler, Linear algebra, Linear combination, Linear subspace, Minimal prime ideal, Minkowski addition, Multiplicative group, Multiresolution analysis, Noncommutative ring, Norm (mathematics), Ordinary differential equation, Outline of geometry, Plane of rotation, Prüfer domain, Prime ideal, Projective module, Quadratic sieve, Rotation matrix, Scalar multiplication, Semiprimitive ring, Set-builder notation, Sierpiński space, ..., Simple ring, Standard array, System of linear equations, Tensor (intrinsic definition), Trivial representation, Vector calculus identities, Vector space, Zero element, Zero matrix, Zero object (algebra), Zero Theory, Zero-product property, 0, 0E, 0I, 0O. Expand index (16 more) »
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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Additive identity
In mathematics the additive identity of a set which is equipped with the operation of addition is an element which, when added to any element x in the set, yields x. One of the most familiar additive identities is the number 0 from elementary mathematics, but additive identities occur in other mathematical structures where addition is defined, such as in groups and rings.
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Affine plane
In geometry, an affine plane is a two-dimensional affine space.
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Affine space
In mathematics, an affine space is a geometric structure that generalizes the properties of Euclidean spaces in such a way that these are independent of the concepts of distance and measure of angles, keeping only the properties related to parallelism and ratio of lengths for parallel line segments.
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Angular momentum operator
In quantum mechanics, the angular momentum operator is one of several related operators analogous to classical angular momentum.
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Barrelled space
In functional analysis and related areas of mathematics, barrelled spaces are Hausdorff topological vector spaces for which every barrelled set in the space is a neighbourhood for the zero vector.
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Bilinear map
In mathematics, a bilinear map is a function combining elements of two vector spaces to yield an element of a third vector space, and is linear in each of its arguments.
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Bounded set (topological vector space)
In functional analysis and related areas of mathematics, a set in a topological vector space is called bounded or von Neumann bounded, if every neighborhood of the zero vector can be inflated to include the set.
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Category of rings
In mathematics, the category of rings, denoted by Ring, is the category whose objects are rings (with identity) and whose morphisms are ring homomorphisms (preserving the identity).
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Conservation law
In physics, a conservation law states that a particular measurable property of an isolated physical system does not change as the system evolves over time.
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Cross product
In mathematics and vector algebra, the cross product or vector product (occasionally directed area product to emphasize the geometric significance) is a binary operation on two vectors in three-dimensional space \left(\mathbb^3\right) and is denoted by the symbol \times.
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Curl (mathematics)
In vector calculus, the curl is a vector operator that describes the infinitesimal rotation of a vector field in three-dimensional Euclidean space.
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D-module
In mathematics, a D-module is a module over a ring D of differential operators.
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Differential geometry of curves
Differential geometry of curves is the branch of geometry that deals with smooth curves in the plane and in the Euclidean space by methods of differential and integral calculus.
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Dissipative operator
In mathematics, a dissipative operator is a linear operator A defined on a linear subspace D(A) of Banach space X, taking values in X such that for all λ > 0 and all x ∈ D(A) A couple of equivalent definitions are given below.
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Division ring
In abstract algebra, a division ring, also called a skew field, is a ring in which division is possible.
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Eigenvalues and eigenvectors
In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.
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Empty sum
In mathematics, an empty sum, or nullary sum, is a summation where the number of terms is zero.
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Equidissection
In geometry, an equidissection is a partition of a polygon into triangles of equal area.
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Function of a real variable
In mathematical analysis, and applications in geometry, applied mathematics, engineering, and natural sciences, a function of a real variable is a function whose domain is the real numbers, or a subset of that contains an interval of positive length.
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Function of several real variables
In mathematical analysis, and applications in geometry, applied mathematics, engineering, natural sciences, and economics, a function of several real variables or real multivariate function is a function with more than one argument, with all arguments being real variables.
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Generalized eigenvector
In linear algebra, a generalized eigenvector of an n × n matrix A is a vector which satisfies certain criteria which are more relaxed than those for an (ordinary) eigenvector.
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Glossary of calculus
Most of the terms listed in Wikipedia glossaries are already defined and explained within Wikipedia itself.
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Injective module
In mathematics, especially in the area of abstract algebra known as module theory, an injective module is a module Q that shares certain desirable properties with the Z-module Q of all rational numbers.
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Integral domain
In mathematics, and specifically in abstract algebra, an integral domain is a nonzero commutative ring in which the product of any two nonzero elements is nonzero.
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Kernel (algebra)
In the various branches of mathematics that fall under the heading of abstract algebra, the kernel of a homomorphism measures the degree to which the homomorphism fails to be injective.
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Kernel (linear algebra)
In mathematics, and more specifically in linear algebra and functional analysis, the kernel (also known as null space or nullspace) of a linear map between two vector spaces V and W, is the set of all elements v of V for which, where 0 denotes the zero vector in W. That is, in set-builder notation,.
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Krull's theorem
In mathematics, and more specifically in ring theory, Krull's theorem, named after Wolfgang Krull, asserts that a nonzero ring has at least one maximal ideal.
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Leonhard Euler
Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.
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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 combination
In mathematics, a linear combination is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants).
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Linear subspace
In linear algebra and related fields of mathematics, a linear subspace, also known as a vector subspace, or, in the older literature, a linear manifold, is a vector space that is a subset of some other (higher-dimension) vector space.
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Minimal prime ideal
In mathematics, especially in the area of algebra known as commutative algebra, certain prime ideals called minimal prime ideals play an important role in understanding rings and modules.
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Minkowski addition
In geometry, the Minkowski sum (also known as dilation) of two sets of position vectors A and B in Euclidean space is formed by adding each vector in A to each vector in B, i.e., the set Analogously, the Minkowski difference (or geometric difference) is defined as It is important to note that in general A - B\ne A+(-B).
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Multiplicative group
In mathematics and group theory, the term multiplicative group refers to one of the following concepts.
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Multiresolution analysis
A multiresolution analysis (MRA) or multiscale approximation (MSA) is the design method of most of the practically relevant discrete wavelet transforms (DWT) and the justification for the algorithm of the fast wavelet transform (FWT).
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Noncommutative ring
In mathematics, more specifically abstract algebra and ring theory, a noncommutative ring is a ring whose multiplication is not commutative; that is, there exists a and b in R with a·b ≠ b·a.
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Norm (mathematics)
In linear algebra, functional analysis, and related areas of mathematics, a norm is a function that assigns a strictly positive length or size to each vector in a vector space—save for the zero vector, which is assigned a length of zero.
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Ordinary differential equation
In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and its derivatives.
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Outline of geometry
Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
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Plane of rotation
In geometry, a plane of rotation is an abstract object used to describe or visualize rotations in space.
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Prüfer domain
In mathematics, a Prüfer domain is a type of commutative ring that generalizes Dedekind domains in a non-Noetherian context.
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Prime ideal
In algebra, a prime ideal is a subset of a ring that shares many important properties of a prime number in the ring of integers.
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Projective module
In mathematics, particularly in algebra, the class of projective modules enlarges the class of free modules (that is, modules with basis vectors) over a ring, by keeping some of the main properties of free modules.
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Quadratic sieve
The quadratic sieve algorithm (QS) is an integer factorization algorithm and, in practice, the second fastest method known (after the general number field sieve).
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Rotation matrix
In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space.
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Scalar multiplication
In mathematics, scalar multiplication is one of the basic operations defining a vector space in linear algebra (or more generally, a module in abstract algebra).
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Semiprimitive ring
In algebra, a semiprimitive ring or Jacobson semisimple ring or J-semisimple ring is a ring whose Jacobson radical is zero.
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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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Sierpiński space
In mathematics, the Sierpiński space (or the connected two-point set) is a finite topological space with two points, only one of which is closed.
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Simple ring
In abstract algebra, a simple ring is a non-zero ring that has no two-sided ideal besides the zero ideal and itself.
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Standard array
In coding theory, a standard array (or Slepian array) is a q^ by q^ array that lists all elements of a particular \mathbb_q^n vector space.
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System of linear equations
In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same set of variables.
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Tensor (intrinsic definition)
In mathematics, the modern component-free approach to the theory of a tensor views a tensor as an abstract object, expressing some definite type of multi-linear concept.
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Trivial representation
In the mathematical field of representation theory, a trivial representation is a representation of a group G on which all elements of G act as the identity mapping of V. A trivial representation of an associative or Lie algebra is a (Lie) algebra representation for which all elements of the algebra act as the zero linear map (endomorphism) which sends every element of V to the zero vector.
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Vector calculus identities
The following identities are important in vector calculus.
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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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Zero element
In mathematics, a zero element is one of several generalizations of the number zero to other algebraic structures.
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Zero matrix
In mathematics, particularly linear algebra, a zero matrix or null matrix is a matrix all of whose entries are zero.
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Zero object (algebra)
In algebra, the zero object of a given algebraic structure is, in the sense explained below, the simplest object of such structure.
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Zero Theory
Zero Theory, Zero Theorem, Zero Conjecture, Zero Law or similar, may mean.
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Zero-product property
In algebra, the zero-product property states that the product of two nonzero elements is nonzero.
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0
0 (zero) is both a number and the numerical digit used to represent that number in numerals.
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0E
0E (zero E) or 0-E may refer to.
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0I
0I (zero I) or 0-I may refer to.
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0O
0O (zero O) or 0-O may refer to.
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Redirects here:
0 vector, 0-Free, 0-free, List of zero terms, Zero element (disambiguation), Zero ideal, Zero tensor, Zero vector.
References
[1] https://en.wikipedia.org/wiki/Zero_element
