Linear combination
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- 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...
- A linear combination of atomic orbitals or LCAO is a quantum superposition of atomic orbitals and a technique for calculating molecular orbitals in quantum...
- to find a linear combination of features that characterizes or separates two or more classes of objects or events. The resulting combination may be used...
K} , and multiplying a linear combination of S by a scalar c ∈ K {\displaystyle c\in K} will produce another linear combination of S: c ( λ 1 v 1 + ⋯ +...
be linearly independent if there exists no nontrivial linear combination of the vectors that equals the zero vector. If such a linear combination exists...- 2: the first two columns are linearly independent, so the rank is at least 2, but since the third is a linear combination of the first two (the first column...
Vector space (redirect from Linear space)are linearly independent if a linear combination results in the zero vector if and only if all its coefficients are zero. Linear subspace A linear subspace...
written in a unique way as a finite linear combination of elements of B. The coefficients of this linear combination are referred to as components or coordinates...
specifically in linear algebra, a linear subspace or vector subspace is a vector space that is a subset of some larger vector space. A linear subspace is...- Symmetry-adapted linear combination may refer to: The linear combination of atomic orbitals in the subject of molecular orbitals Configuration state function...
is a statistical model that models the log-odds of an event as a linear combination of one or more independent variables. In regression analysis, logistic...
In convex geometry and vector algebra, a convex combination is a linear combination of points (which can be vectors, scalars, or more generally points...- Quantum superposition (redirect from Quantum linear superposition)equation is a linear differential equation in time and position. More precisely, the state of a system is given by a linear combination of all the eigenfunctions...
- identity mapping. A linear differential operator (abbreviated, in this article, as linear operator or, simply, operator) is a linear combination of basic differential...
- Nonlinear system (redirect from Non-linear)linear combination of the unknown variables or functions that appear in them. Systems can be defined as nonlinear, regardless of whether known linear...
- In statistics, linear regression is a statistical model which estimates the linear relationship between a scalar response and one or more explanatory...
- by that type. This method of quantifying orbital contribution as a linear combination of atomic orbitals is used in computational chemistry. An additional...
Least squares (section Linear least squares)its partial derivatives. A regression model is a linear one when the model comprises a linear combination of the parameters, i.e., f ( x , β ) = ∑ j = 1...- previous points and derivative values. In the case of linear multistep methods, a linear combination of the previous points and derivative values is used...
- Ordinary linear regression predicts the expected value of a given unknown quantity (the response variable, a random variable) as a linear combination of a...
- linear combination (plural linear combinations) (linear algebra) a sum, each of whose summands is an appropriate vector times an appropriate scalar (or
- Teutonic languages, cf. Ger. Ellbogen. Eln still survives in the name of a linear measure, the “ell,” and is derived from the O. Teut. alina, cognate with
- individual-particle model. The ground state of a superconductor, formed from a linear combination of normal state configurations in which electrons are virtually excited
- determinant is a linear combination of the others. Since a column which is a linear combination of the others remains a linear combination of the others