Sentence examples for applied the result from inspiring English sources

When she and her colleagues amputated some of these, washed them in methanol to see what they could extract, and applied the result to colonies of micro-organisms cultured from acacia leaves, they found that the extract eradicated many of those colonies.

If weights had been applied the result may have differed depending on the perceived importance of long- versus short-term impacts.

In addition, Jung [12] investigated stability of (1.1) on restricted domains and applied the result to the study of an interesting asymptotic behavior of the quadratic functions.

In addition, Jung [11] investigated the Hyers-Ulam stability of (1.1) on restricted domains and applied the result to the study of an interesting asymptotic behavior of the quadratic functions.

Under some suitable conditions, they proved that the sequence { x n } generated by (1.2) converges strongly to ⋂ i = 1 N F ( T i ) and applied the result to the solution of convex feasibility and equilibrium problems.

(1.19) Under some suitable conditions, they proved that the sequence ({x_{n}}) generated by (1.19) converges strongly to (operatorname{Proj}_{F}^{g}(x_{0})) and applied the result to the solution of convex feasibility and equilibrium problems, where (g:Eto R) and ({e_{n}^{i}}subset E) satisfying (lim_{nto+infty}e_{n}^{i}=0) for each (ngeq1) and (i=1,2,ldots,m).

In a second step using the Pontryagin Maximum Principle and the geometric optimal control theory (see [1, 74, 85]), we have established an existence result of the chattering phenomenon for a class of bi-input control affine systems and we have applied the result to the problem ((mathcal {P}_{S})).

In 1976, Elcrat [1] derived an a priori estimate for the elliptic operator L 0 u defined by L 0 u = a i j u x i x j + a i u x i − a u. and applied the result in the semilinear elliptic equation L 0 u = a i j u x i x j + a i u x i = f ( x, u ) (1.2). to obtain the following existence theorem.