In linear algebra, a linear relation, or simply relation, between elements of a vector space or a module is a linear equation that has these elements...

the Fibonacci numbers is the canonical example of a homogeneous linear recurrence relation with constant coefficients (see below). The Fibonacci sequence...

linear algebra, and dynamical systems), a linear recurrence with constant coefficients: ch. 17 : ch. 10  (also known as a linear recurrence relation or...

used to give a simple definition of knot polynomials. A skein relation gives a linear relation between the values of a knot polynomial on a collection of...

of linear independence, e t {\displaystyle e^{t}} and e 2 t {\displaystyle e^{2t}} are linearly independent. A linear dependency or linear relation among...

currents, the method which consists in sending currents varied in a non-linear relation to the light values of the successive elements of the picture to be...

In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of...

elasticity tensor is a fourth-rank tensor describing the stress-strain relation in a linear elastic material. Other names are elastic modulus tensor and stiffness...

non-linear effect of the constitutive relation between mechanical stress and finite strain in a material of continuous mass. In classical linear elasticity...

conditional expectation of a random variable. The objective is to find a non-linear relation between a pair of random variables X and Y. In any nonparametric regression...

indicating a perfect negative linear relation, 1 indicating a perfect positive linear relation, and 0 indicating no linear relation between two variables. Cohen...

gravitational constant. Following the discovery by Edwin Hubble of a linear relation between the redshifts of the galaxies and their distance in 1929, Einstein...

Ic=βIb where Ic is collector current and Ib is base current, following linear relation y=mx. When output is not in this portion, two forms of amplitude distortion...

the "is congruent to" relation in geometry; the "is adjacent to" relation in graph theory; the "is orthogonal to" relation in linear algebra. A function...

interpolating functions of two variables (e.g., x and y) using repeated linear interpolation. It is usually applied to functions sampled on a 2D rectilinear...

collinear configuration of three celestial bodies Syzygy (mathematics), linear relation between generators of a module Syzygy, in biology, the pairing of chromosomes...

linearly independent over the algebraic numbers. This equivalence transforms a linear relation over the algebraic numbers into an algebraic relation over...

find an approximate linear relation between 1, α, α2, α3, . . . with integer coefficients, which might be an exact linear relation and a polynomial factor...

total order or linear order is a partial order in which any two elements are comparable. That is, a total order is a binary relation ≤ {\displaystyle...

ordinary least squares (OLS) is a type of linear least squares method for choosing the unknown parameters in a linear regression model (with fixed level-one[clarification...

matrices of real numbers. In many situations there is an approximately linear relation between those matrices; that is, a fourth-order viscosity tensor μ...

in general linear position, it is called a degenerate case or degenerate configuration, which implies that they satisfy a linear relation that need not...

linear and nonlinear: Linear elements – these are elements in which the constituent relation, the relation between voltage and current, is a linear function...

most elastic materials such as springs exhibit linear elasticity and can be described by a linear relation between the stress and strain. This relationship...

than the number of equations. The linear relation between the logs of the α's is needed to cut down the number of linear equations that have to be satisfied...

was a linear function. On mathematical grounds alone, Gay-Lussac's paper does not permit the assignment of any law stating the linear relation. Both Dalton's...

linear relation is widely assumed to hold, experimental data suggest that almost 80% of tested materials do not satisfy this widely accepted linear behavior...

The rank–nullity theorem is a theorem in linear algebra, which asserts: the number of columns of a matrix M is the sum of the rank of M and the nullity...

other scale, or by any other hardness test. Using linear elastic indentation hardness, a relation between the ASTM D2240 hardness and the Young's modulus...

Sitter in 1932. On first learning of Edwin Hubble's discovery of a linear relation between the redshift of the galaxies and their distance, Einstein set...