Sentence examples for obtaining the function from inspiring English sources

However, again as in the proof of Theorem 6, we need to find a new function (array polynomial) which is related to the minimality (having inefficiency) status of P E. To do that, we will take into account the same way which was obtaining the function p 3 ( x ) = [ λ 1 λ 2 − 1 ] S 0 1 ( x ) in Theorem 6.

After applying some transformations on the above expression, we obtain the function form.

(2.6) Then, we can obtain the function (Q=Q t,x)) from equations (2.5) and (2.6).

(3.9) We wish to obtain the function (U x,t)) in terms of (theta x,t)).

Solving (3.26), we obtain the function (varphi(t)): varphi=frac{1}{3}omegatan biggl(frac{1}{3}(- omega t+9 omega) biggr).

As a result we obtain the function defined as for and, and for, for which (317). and the equation (318).

Each worked-example and exercise problem contains four solution steps, including "set up the function," "obtain the function of one variable," "find the domain of the function," and "obtain the critical number and check the answer".

If we allow p to vary over the positive orthant of R n, we obtain the function z; the excess demand function of the economy.

Step 4. Substitute Eq. (6) into Eq. (5), calculate all the necessary derivatives (u',u", ldots ) of the unknown function (u xi)) and obtain the function (psi xi)).

In the following sections, in order to obtain the function the learning machine approximates to after training, the strong law of large numbers is going to be applied[36].

We calculated the relationship between the primary neutron energy and neutron-induced proton energy and obtained the function to reconstruct the primary neutron energy.