linear combination - определение. Что такое linear combination
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Что (кто) такое linear combination - определение


Linear combination         
EXPRESSION CONSTRUCTED FROM A SET OF TERMS BY THE ADDITION OF TERMS IN THE SET TO EACH OTHER ANY NUMBER OF TIMES
Linear Algebra/Linear Combination; Linear combinations; Linear Combination; Linear algebra/Linear combination; Infinite 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.
Linear combination of atomic orbitals         
  • C<sub>2v</sub> symmetry]].
TECHNIQUE IN QUANTUM CHEMISTRY
LCAO MO Method; Linear Combination of Atomic Orbitals Molecular Orbital Method; LCAO; LCAO-MO; Linear combinations of atomic orbitals; Linear Combination Of Atomic Orbitals; Linear combination of atomic orbitals molecular orbital method
A linear combination of atomic orbitals or LCAO is a quantum superposition of atomic orbitals and a technique for calculating molecular orbitals in quantum chemistry.Huheey, James.
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)