Sentence examples for mathematical analysis the from inspiring English sources

Following complex mathematical analysis, the authors have found exact expressions for the elusive configuration factor between a circle and the three coordinate axes.

In this paper, by using the theories of mathematical analysis, the authors systematically studied the problem of integrating of trigonometric functions utilizing omnipotence expressions tan x2="t.

Through being proven by some related mathematical analysis, the proposed functions are lower bound on Euclidean distance and dynamic time warping.

In addition to this mathematical analysis, the fluid dynamics software package ABAQUS was used to simulate airflow patterns about the hypothetical flat rectangular wing, assuming the wing was held at various angles of attack during steady running at 8 m/s (Fig. S2).

The depth of his mathematical analysis, the clarity with which he provided step-by-step explanations of complex calculations, and the book's humor delighted card sharks and mathematicians alike, making Mr. Griffin a highly popular figure among blackjack aficionados and opening up new vistas for him as well-traveled visiting expert at casinos and gambling conferences around the world.

With the mathematical analysis, the optimization problem has been decomposed into N subproblems.

SF contributed to the study design, the mathematical analysis and the final writing of the paper.

I spearheaded the mathematical analysis of the equations, and Tomas programmed the equations on the computer.

ED participated in the design of the study and contributed to the mathematical analysis of the data.

In the "Mathematical analysis for the homophily principle" and "Mathematical analysis for the 'more becomes more' principle" sections, examples of this are shown.

The problem was that ExxonMobil made almost all of its contribution decisions on the mathematical analysis of the key vote system.