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For each of eigenvalues there will be an eigen function.
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Let ((lambda,psi)) be an eigen-pair for the Sturm-Liouville differential equation (1).
An eigen function expansion method was used to find the velocity distribution.
The criterion for the retention of a component was an Eigen value greater than one.
The scattered electron wave is decomposed in a set of basic functions, which are the eigen functions of the Hamiltonian of the projected electrostatic object potential.
Here { ϕ ( ⋅, λ n ) } n = - ∞ ∞ will be a sequence of eigen-vector-functions of (15 - 19 15 - 19ponding to the eigenvalues { λ n } n = - ∞ ∞.
The natural eigen-modes of a combustion system are a strong function of its geometric design, temperature profile, and boundary conditions.
On the other hand, let us take an antiperiodic eigen function of (2.1) associated with.
where is the eigen wave function ofE n solved from the Schrodinger equation with the triangle-shaped confined potential well and so different staten has different For ground state,n = 0, furthermore, Eq. (4) can be transformed to (5).
The nth eigen function is: X_{n} (x) = sin frac{npi x}{L},quad n = 1,2,3, ldots (66).
Diffusion map is a nonlinear eigen-technique that captures that geometry by propagating local neighborhood information through a Markov process.
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