Sentence examples for a linear function with respect to from inspiring English sources

Naturally, it is a linear function with respect to the slices to be filtered.

It is important emphasizing that D(t t – τ) is a linear function with respect to the time.

Firstly, as shown in (45), ψ rL (f a,f,0,r 0) is approximated by a linear function with respect to the variable f.

Secondly, as shown in (37), ψ (f a,f,t 0T,r 0T) is approximated by ψ L(f a, f, t 0T, r 0T) which is a linear function with respect to variables t 0T and r 0T.

Finally, in [9] and [17]f is a linear function with respect to q, while with respect to p, it is a quadratic function or satisfies Nagumo type growth conditions respectively.

In particular, when f ( t, y, y ′ ) is a linear function with respect to y and y ′, Eq. (2.1) is reduced to Eq. (1.1) y ″ + p ( t ) y ′ + q ( t ) y = g ( t ), t ∈ [ a, b ], and it is a linear differential equation.

Substituting (66) into (12 - 14 12 - 14n see that F is the linear function weth respecanto E. Becausee(68).

(ii) If F and G are linear functions with respect to their variables, then the calmness condition (4.14) is automatically satisfied in this case by [15].

The depreciation cost (13) is a linear increasing function with respect to battery capacity y n.

The displacement fields are estimated by minimizing a non-linear objective function with respect to the parameters of the displacement fields.

We suppose that the linear part is the infinitesimal generator of a compact C0-semigroup of bounded linear operators and the nonlinear part is an almost automorphic function with respect to the second argument.