# S. Haykin, Nonlinear Methods of Spectral Analysis, 2nd Ed. frequency, and the vector of frequency points F. to handle the "matrix must be positive definite" error in linalg.cholesky.
The whitefly Bemisia tabaci is an important pest of many economically important crops and the vector of begomoviruses (family Geminiviridae).
Based on the obtained Hermitian matrix and the vector of mask coefficients, the vector of window coefficients is derived.
For each animal, the difference between the vector of average available habitat conditions and the vector of average used conditions defines the marginality vector.
The primary variables in the theory include the Airy stress function, the deflection function and the vector of relative in-plane displacements of skin layers.
By initializing the window coefficients, the Hermitian matrix and the vector of mask coefficients are derived via an orthogonal Procrustes approach.
And surely it remains true that if you change factor endowments, and the vector of changes is small (by whatever metric) relative to the initial vector, you would not expect large changes in factor prices, Cobb-Douglas or not.
The forces introduced into the model are determined by methods of pseudo-inversion of the matrix of the spectral transmissibility functions of the mechanical system and the vector of operating vibrations.
In particular, after a short outline of the basic assumptions of the well-known Newmark's Theory, the closed-form analytical expressions of the corresponding stiffness matrix and the vector of equivalent nodal forces for beam in bending are presented.
Total measurable acceleration is defined as the acceleration obtained as a vector sum of negative gravitational acceleration (represented as equivalent central acceleration) and the vector of Newton's total acceleration.
The closed-form expressions of both the stiffness matrix and the vector of equivalent nodal forces are generally defined as the product of constant coefficients, corresponding to the stiffness terms of simple Bernoulli beams, multiplied by various functions depending on two non-dimensional parameters which completely cover the effect of partial interaction.
