Sentence examples for then making use of from inspiring English sources

We approximate the solution in the form u N ( x ) = ∑ j = 0 N a j L t, j ( x ), then, making use of formula (13) enables us to express explicitly the derivatives D ν u ( x ), D δ 1 u ( x ), …, D δ k u ( x ) in terms of the expansion coefficients a j and the shifted Legendre polynomials.

Then, making use of a technique popular in political ads, the ad cuts to an old clip of Mr. Santorum appearing on a talk show.

Then, making use of the work presented in [89], [90], [22], this positivity study is extended to high-orders of accuracy, where new time step constraints are obtained, and proper limitation is required.

Over 30 years, Leon Murstein built a fleet of 500; then, making use of Alvin's M.B.A. and a federal program for minority loan-seekers, he began selling off medallions and providing loans.

Then making use of Lemma 2.2, we have (2.48).

then making use of Theorem 3.1 (formula (3.1)) immediately yields (3.13).

We then made use of the "clipwindow" functionality of the film class to render each section of the image separately.

We then make use of Hardy's criterion for Poincaré inequalities on the real line to construct our examples.

The English representative of the Prosecution has said that this shows how honorable the soldiers were who attacked Norway and then made use of lies and excuses.

SMeDA-SA then made use of a data mining algorithm to expand the word list by adding emotional phrases so as to better classify sentiments in the tweets.

Working on the prototype allows students to acquire knowledge and practical skills and then make use of those skills for maintaintenance, repair and control of machinery.