In mathematics, normal can have several meanings: Wikibooks Wikiversity has more about this subject: School of Mathematics Wikiquote has a collection of quotations by or about: Mathematics Look up Mathematics in Wiktionary, the free dictionary Wikimedia Commons has more media related to: Mathematics Bogomolny, Alexander: Interactive Mathematics Miscellany and Puzzles. ...
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Categories: Mathematical disambiguation | Disambiguation A surface normal, or just normal to a flat surface is a three-dimensional vector which is perpendicular to that surface. ... A perpendicular line. ... In mathematics, a surface is a two-dimensional manifold. ... The normal distribution, also called Gaussian distribution, is an extremely important probability distribution in many fields, especially in physics and engineering. ... A random variable can be thought of as the numeric result of operating a non-deterministic mechanism or performing a non-deterministic experiment to generate a random result. ... Statistics is the science and practice of developing knowledge through the use of empirical data expressed in quantitative form. ... In abstract algebra, an algebraic field extension L/K is said to be normal if L is the splitting field of a family of polynomials in K[X]. The following conditions are equivalent to L/K being a normal extension: Let Ka an algebraic closure of K containing L. Every... Abstract algebra is the field of mathematics concerned with the study of algebraic structures such as groups, rings and fields. ... In abstract algebra, an extension of a field K is a field L which contains K as a subfield. ... In mathematics, with special application to complex analysis, a normal family is a pre-compact family of continuous functions. ... This is a glossary of some terms used in the branch of mathematics known as topology. ... Holomorphic functions are the central object of study of complex analysis; they are functions defined on an open subset of the complex number plane C with values in C that are complex-differentiable at every point. ... In axiomatic set theory, a function f : Ord → Ord is called normal (or a normal function) iff it is continuous (with respect to the order topology) and strictly mononotically increasing. ... In mathematics, a continuous function is one in which arbitrarily small changes in the input produce arbitrarily small changes in the output. ... In mathematics, functions between ordered sets are monotonic (or monotone) if they preserve the given order. ... Ordinal numbers, or ordinals for short, are numbers used to denote the position in an ordered sequence: first, second, third, fourth, etc. ... A complex square matrix A is a normal matrix iff where A* is the conjugate transpose of A (if A is a real matrix, this is the same as the transpose of A). ... Conjugate can be: in mathematics in terms of complex numbers, the complex conjugate; more generally see conjugate element (field theory). ... See transposition for meanings of this term in telecommunication and music. ... Normal modes in an oscillating system are special solutions where all the parts of the system are oscillating with the same frequency (called normal frequencies or allowed frequencies). ... In category theory and its applications to mathematics, a normal monomorphism or normal epimorphism is a particularly well-behaved type of morphism. ... In mathematics, a morphism is an abstraction of a function or mapping between two spaces. ... The word kernel has several meanings in mathematics, some related to each other and some not. ... In abstract algebra, the cokernel of a homomorphism f : X → Y is the quotient of Y by the image of f. ... In computing, a normal number is a non-zero number in a floating-point representation which is within the balanced range supported by a given floating-point format. ... A floating-point number is a digital representation for a number in a certain subset of the rational numbers, and is often used to approximate an arbitrary real number on a computer. ... In mathematics, a normal number is, roughly speaking, a real number whose digits show a random distribution with all digits being equally likely. ... A digit is: In anatomy, a finger or toe. ... This is a page about mathematics. ... In functional analysis, a normal operator on a Hilbert space H is a continuous linear operator N : H → H that commutes with its hermitian adjoint N*: N N* = N* N. The main importance of this concept is that the spectral theorem applies to normal operators. ... In mathematics, a linear transformation (also called linear operator or linear map) is a function between two vector spaces that respects the arithmetical operations addition and scalar multiplication defined on vector spaces, or, in other words, it preserves linear combinations. Definition and first consequences Formally, if V and W are... In mathematics, a Hilbert space is an inner product space that is complete with respect to the norm defined by the inner product. ... In mathematics, the term adjoint applies in several situations. ... In topology and related branches of mathematics, normal spaces, T4 spaces, and T5 spaces are particularly nice kinds of topological spaces. ... Topological spaces are structures that allow one to formalize concepts such as convergence, connectedness and continuity. ... In mathematics, two sets are said to be disjoint if they have no element in common. ... In topology and related branches of mathematics, a closed set is a set whose complement is open. ... This is a glossary of some terms used in the branch of mathematics known as topology. ... In mathematics, a normal subgroup N of a group G is a subgroup invariant under conjugation; that is, for each element n in N and each g in G, the element g-1ng is still in N. The statement N is a normal subgroup of G is written: . Another way... In mathematics, given a group G under a binary operation *, we say that some subset H of G is a subgroup of G if H also forms a group under the operation *. More precisely, H is a subgroup of G if the restriction of * to H is a group operation... The word conjugation has several meanings: Grammatical conjugation is the modification of a verb from its basic form. ... Abstract algebra is the field of mathematics concerned with the study of algebraic structures such as groups, rings and fields. ...
This report presents a discussion of the mathematics character repertoire of the Unicode Standard [Unicode] as used for mathematics, but it is intended that this discussion apply to mathematical notation in general.
Mathematical Markup Language (MathML™) [MathML], an XML application [XML], is a major beneficiary of the increased repertoire for mathematical symbols.
If Normalization Form C is applied to mathematical text, some accents or overlays used with BMP alphabetic characters may be composed with their base character, even though for mathematical text the decomposed forms would have been preferred.
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