Sentence examples for introducing the function from inspiring English sources

We reformulate Problem I as a first-order system with respect to time by introducing the function (v=u_{t}).

The linearization of these equations is made, in the usual way, by introducing the function (Q= ph)^{2}).

An alternative condition can be established by introducing the function f ( t ) = t 1 + ω t 1 / α ̂ − 1 α, (21).

We end this section by introducing the function (varphi (y,t)) by varphi (y,t):= u y,t)+frac{1}{2}(y-1) t^{2}.

Introducing the function r(t) = -||x t) ||2, t ∈ [0, 1], where x t) is a solution of (3.6), for the rest part of the proof we proceed as in the proof of Theorem 3.1.

Notice that effects coming from scaling axes with the help of the parameter vector a and effects being due to the form parameter p are dealt with here in a separate way when introducing the function |. | 1 a, q.

Introducing the functions and, explicitly given by (2.11). it is directly seen that and are not the fundamental solutions to the respective Hermitean Dirac operators and.

In Section 3, we introduce the function space and energy functional for FBVP (1.1).

Lets also introduce the function exp(a x) = (1+a) to the power x.

Professor Saltzman first introduces the function and anatomy of the kidney.

Further, introduce the function (1.3).