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этимология

Что (кто) такое linear isomorphisms - определение

ISOMORPHISM BETWEEN THE TANGENT AND COTANGENT BUNDLES ON A SMOOTH MANIFOLD; INDUCED BY EITHER A RIEMANNIAN OR SYMPLECTIC STRUCTURE

Musical isomorphisms

Найдено результатов: 825

linear map

$The function f:\R^2 \to \R^2 with f(x, y) = (2x, y) is a linear map. This function scales the x component of a vector by the factor 2.$
$The function f(x, y) = (2x, y) is additive: It doesn't matter whether vectors are first added and then mapped or whether they are mapped and finally added: f(\mathbf a + \mathbf b) = f(\mathbf a) + f(\mathbf b)$
$The function f(x, y) = (2x, y) is homogeneous: It doesn't matter whether a vector is first scaled and then mapped or first mapped and then scaled: f(\lambda \mathbf a) = \lambda f(\mathbf a)$

MAPPING THAT PRESERVES THE OPERATIONS OF ADDITION AND SCALAR MULTIPLICATION

Linear operator; Linear mapping; Linear transformations; Linear operators; Linear transform; Linear maps; Linear isomorphism; Linear isomorphic; Linear Transformation; Linear Transformations; Linear Operator; Homogeneous linear transformation; User:The Uber Ninja/X3; Linear transformation; Bijective linear map; Nonlinear operator; Linear Schrödinger Operator; Vector space homomorphism; Vector space isomorphism; Linear extension of a function; Linear extension (linear algebra); Extend by linearity; Linear endomorphism

<mathematics> (Or "linear transformation") A function from a vector space to a vector space which respects the additive and multiplicative structures of the two: that is, for any two vectors, u, v, in the source vector space and any scalar, k, in the field over which it is a vector space, a linear map f satisfies f(u+kv) = f(u) + kf(v). (1996-09-30)

Linear map

$The function f:\R^2 \to \R^2 with f(x, y) = (2x, y) is a linear map. This function scales the x component of a vector by the factor 2.$
$The function f(x, y) = (2x, y) is additive: It doesn't matter whether vectors are first added and then mapped or whether they are mapped and finally added: f(\mathbf a + \mathbf b) = f(\mathbf a) + f(\mathbf b)$
$The function f(x, y) = (2x, y) is homogeneous: It doesn't matter whether a vector is first scaled and then mapped or first mapped and then scaled: f(\lambda \mathbf a) = \lambda f(\mathbf a)$

MAPPING THAT PRESERVES THE OPERATIONS OF ADDITION AND SCALAR MULTIPLICATION

Linear operator; Linear mapping; Linear transformations; Linear operators; Linear transform; Linear maps; Linear isomorphism; Linear isomorphic; Linear Transformation; Linear Transformations; Linear Operator; Homogeneous linear transformation; User:The Uber Ninja/X3; Linear transformation; Bijective linear map; Nonlinear operator; Linear Schrödinger Operator; Vector space homomorphism; Vector space isomorphism; Linear extension of a function; Linear extension (linear algebra); Extend by linearity; Linear endomorphism

In mathematics, and more specifically in linear algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism, or in some contexts linear function) is a mapping V \to W between two vector spaces that preserves the operations of vector addition and scalar multiplication. The same names and the same definition are also used for the more general case of modules over a ring; see Module homomorphism.

https://en.wikipedia.org/wiki/Linear_map

linear transformation

$The function f:\R^2 \to \R^2 with f(x, y) = (2x, y) is a linear map. This function scales the x component of a vector by the factor 2.$
$The function f(x, y) = (2x, y) is additive: It doesn't matter whether vectors are first added and then mapped or whether they are mapped and finally added: f(\mathbf a + \mathbf b) = f(\mathbf a) + f(\mathbf b)$
$The function f(x, y) = (2x, y) is homogeneous: It doesn't matter whether a vector is first scaled and then mapped or first mapped and then scaled: f(\lambda \mathbf a) = \lambda f(\mathbf a)$

MAPPING THAT PRESERVES THE OPERATIONS OF ADDITION AND SCALAR MULTIPLICATION

Linear operator; Linear mapping; Linear transformations; Linear operators; Linear transform; Linear maps; Linear isomorphism; Linear isomorphic; Linear Transformation; Linear Transformations; Linear Operator; Homogeneous linear transformation; User:The Uber Ninja/X3; Linear transformation; Bijective linear map; Nonlinear operator; Linear Schrödinger Operator; Vector space homomorphism; Vector space isomorphism; Linear extension of a function; Linear extension (linear algebra); Extend by linearity; Linear endomorphism

linear map

Linear referencing

METHOD OF SPATIAL REFERENCING

Linear Referencing System; Linear Reference System; Linear-referencing; Linear Referencing; Linear reference system; Linear referencing system; Linearly referenced

Linear referencing, also called linear reference system or linear referencing system (LRS), is a method of spatial referencing in engineering and construction, in which the locations of physical features along a linear element are described in terms of measurements from a fixed point, such as a milestone along a road. Each feature is located by either a point (e.

https://en.wikipedia.org/wiki/Linear_referencing

Linear inequality

INEQUALITY WHICH INVOLVES A LINEAR FUNCTION

Set of linear inequalities; Systems of linear inequalities; System of linear inequalities; Linear inequalities; Linear Inequality

In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality:.

https://en.wikipedia.org/wiki/Linear_inequality

Linear model

TYPE OF STATISTICAL MODEL

Linear models; Linear Models

In statistics, the term linear model is used in different ways according to the context. The most common occurrence is in connection with regression models and the term is often taken as synonymous with linear regression model.

https://en.wikipedia.org/wiki/Linear_model

Linear-motion bearing

MACHINE ELEMENT FOR GUIDING A COMPONENT ALONG A STRAIGHT LINE

Linear bearing; Linear guide; Linear motion bearing; Slide rail

A linear-motion bearing or linear slide is a bearing designed to provide free motion in one direction. There are many different types of linear motion bearings.

https://en.wikipedia.org/wiki/Linear-motion_bearing

linac

TYPE OF PARTICLE ACCELERATOR

Linacs; Linear accelerators; Linac; Linear collider; LINAC; Linear electron accelerator; Linear Accelerator; Linatron; Linear accelerator

['l?nak]

¦ noun short for linear accelerator.

linear accelerator

TYPE OF PARTICLE ACCELERATOR

Linacs; Linear accelerators; Linac; Linear collider; LINAC; Linear electron accelerator; Linear Accelerator; Linatron; Linear accelerator

¦ noun Physics an accelerator in which particles travel in straight lines, not in closed orbits.

System of linear equations

COLLECTION OF LINEAR EQUATIONS INVOLVING THE SAME SET OF VARIABLES

Linear simultaneous equations; Simultaneous linear equations; Homogeneous equation; Linear system of equations; Ax=b; Systems of linear equations; Homogeneous linear equation; Linear equation system; Vector equation; Ax=0; Linear Equation System; Algorithms for solving systems of linear equations; Solving systems of linear equations; Methods for solving systems of linear equations; Elimination of variables in systems of linear equations; Homogeneous system of linear algebraic equations; Homogeneous system of linear equations; Free variables (system of linear equations)

In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.

https://en.wikipedia.org/wiki/System_of_linear_equations

Википедия

Musical isomorphism

In mathematics—more specifically, in differential geometry—the musical isomorphism (or canonical isomorphism) is an isomorphism between the tangent bundle $\mathrm {T} M$ and the cotangent bundle $\mathrm {T} ^{*}M$ of a pseudo-Riemannian manifold induced by its metric tensor. There are similar isomorphisms on symplectic manifolds. The term musical refers to the use of the symbols $\flat$ (flat) and $\sharp$ (sharp).

In the notation of Ricci calculus, it is also known as raising and lowering indices.

https://en.wikipedia.org/wiki/Musical isomorphism