Sentence examples for gave the expression from inspiring English sources

Particularly, the authors also gave the expression of general solutions on symmetric group and finite cyclic group.

On the basis of [1], Chen and Yang [2] investigated M i ( n ) of a flattened convex body K in space forms and gave the expression of it in terms of M j ( r ), where M j ( r ) is the j th mean curvature integral of K in r-dimensional geodesic submanifold, their work extends the result of Santaló in [1].

Substituting these into (8) gives the expression for outage capacity which can be expressed in compact form as (11).

The first theorem gives the expression of the density functions.

Give the expression of f γ 1 after the substitution.

Equation 9 gives the expression for, from Eq. 4.

We also give the expression of (T^{ q)}).

The following corollary gives the expression of the Green's function for problem (2.5).

The solution gives the expression of dissociation fraction as a function of temperature on a streamline.

We have given the expression for the estimator (p_{t}) in (2.7).

They prove that λ is Frechet differentiable and they give the expression of its derivative.