Sentence examples for best linear approximation of from inspiring English sources

Minimizing the bias gives the best linear approximation of λ of the form ψ ( f ) and this even if λ is not of the form ψ ( f ).

The derivative of a function at a chosen input value describes the best linear approximation of the function near that input value.

The purple segment represents the best linear approximation of IPD around that frequency (intercept 0.12 cycle, slope 167 μs).

When f is a function from an open subset of Rn to Rm, then the directional derivative of f in a chosen direction is the best linear approximation to f at that point and in that direction.

It is shown that in the presence of nonlinear distortions the choice of input excitation in estimating models that describe the best linear approximation to the nonlinear system is crucial.

Jacobian matrix is the matrix of all first-order partial derivatives of a vector-valued function J ( J = ∂ f ∂ x | x k ) and can represent the best linear approximation to a differentiable function near a given point.

Up to changing variables, this is the statement that the function x \mapsto f(a) + f'(a)(x-a) is the best linear approximation to f at a.

The tangent plane is the best linear approximation, or linearization, of a surface at a point.

The aim of the study presented in this paper is to provide some initial results over the potential use of best linear approximation models in the design of model-based linear controllers for systems suffering nonlinear distortions.

From Theorem 1, it follows that the MMSE optimal transform (in the sense of providing the best linear approximation as decoder side information for terminal 2) T 1 ′ is the KLT of X1.

In one variable, the fact that the derivative is the best linear approximation is expressed by the fact that it is the limit of difference quotients.