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The linear transforms, which represent the CMVM operation, are obtained by multiplying each row of the constant matrix by the variable vector.
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The relationship between body-shape and swimming performance was tested by comparing the variable vector with the shape vector, using the permutation test available in TpsPls.
The iterations are obtained by finding KKT points of the corresponding optimization problem with the variable vector or.
Throughout the model all physical flows are described by the same variable vector, consisting of up to 50 substances.
The NMDS separation is partially explained by N and C content, as shown by those variable vectors, which influenced more the M site than the other safe-sites.
For this purpose, in the first technique, known as nonlinear disturbances observer (NDO) technique, derivative term is eliminated in the estimation equations by employing auxiliary variable vector and by selecting appropriate design parameters.
Assuming there emerges a small fluctuation (Delta varvec{W}) of the node injection vector, the state variable vector will change by (Delta varvec{X}), correspondingly.
A biological signal transduction system is defined by its state variable vector x, the set of all kinetic rate and initial concentration parameters.
If the source variable (vector) is further subject to constraints given by the vector equation, the distortion function can be similarly expanded around point as (21).
Here, x i t is the explanatory variable vector given by left y_{t-1},left y_{t-1}l_{iy}},ldots1}^{(1)},ldots, u_{t-l_{i1}}^{(1)},ldots,u_{t-1}^{(p)},ldots, u_{t-l_{in}}^{(p)}right)^{T} with l i y,l i1,…,l i p being the maximum time lags of each variable, where g i is a link function, and β i is a coefficient vector for i=1,2.
In particular, the constant matrix vector multiplication (CMVM) operation realizes the multiplication of an m×n constant matrix C by an n×1 variable vector X, i.e., (y_{j} = sum _{k}c_{jk}x_{k}), with 0≤j≤m−1 and 0≤k≤n−1.
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