Sentence examples for formulate the result from inspiring English sources

We formulate the result for the Wiener integrator, the Ornstein Uhlenbeck integrator can be treated analogously.

The following result about the existence and uniqueness of solutions of equation (1.1) can be obtained by the standard Faedo-Galerkin methods, here we only formulate the result.

We shall formulate the result for nonself-mappings since the case of self-mappings is a special case of this one.

Based on the number of corollaries of the abstract theorems given in the above, to formulate the result, one needs to introduce the spaces C h = C ( R h n ) and C h β = C β ( R h n ) of all bounded grid functions u h ( x ) defined on R h n, equipped with the norms (106) (106).

To formulate the result, one needs to introduce the Banach space C h β = C β ( [ 0, l ] h ) ( 0 < β < 1 ) of the grid functions φ h ( x ) = { φ r } 0 K defined on [ 0, l ] h satisfying the conditions φ 0 = φ K, φ 1 − φ 0 = φ K − φ K − 1 equipped with the norm ∥ φ h ∥ C h β = ∥ φ h ∥ C h + sup 0 ≤ k < k + τ ≤ K | φ k + r − φ k | τ β.

To formulate the result, one needs to introduce the Banach space C h β = C β ( [ 0, l ] h ) ( 0 < β < 1 ) of the grid functions φ h ( x ) = { φ r } 1 K − 1 defined on [ 0, l ] h satisfying the conditions φ 0 = φ K = 0, equipped with the norm ∥ φ h ∥ C h β = ∥ φ h ∥ C h + sup 1 ≤ k < k + τ ≤ K − 1 | φ k + r − φ k | τ β.

Students learn to identify problems, formulate and analyze models to understand these problems, and interpret and formulate the results of analyses for managerial action.

The focal point is to formulate the results as convex optimization over linear matrix inequalities (LMIs).

We then formulate the resulting scattering problem as a linear least squares problem and solve it accordingly.

Let us formulate the results obtained.

To formulate the resulting MSE, we introduce the random signal being subject to and.