Sentence examples for obtained an example from inspiring English sources
In [16], Güller obtained an example to show that Rockafellar's proximal point algorithm (1.4) does not converge strongly, in general.
In addition to these fixed points, limit cycles can be obtained, an example of which is shown in Fig. 2c.
In [3], Güler obtained an example to show that Rockafellar's inexact proximal point method (1.3) does not converge strongly, in general.
So, we have obtained an example of a fourth-order equation in which its interval of disconjugation does not coincide with the biggest open interval where the Green's function is of constant sign in (X_{1}).
We obtain an example of an S-metric which does not generate a metric.
By letting M k = Σ k for all k ≥ 0, we obtain an example of sequence of nested index sets.
To obtain an example, take again the path algebra of the quiver of type A 2. Let C = S ( a ) and Y = P ( b ), thus now C is projective.
Then the blow up of ({mathbb {P}}^6) along a surface X with (pi _1(X) cong G) is used to obtain an example with classes in the third cohomology group (H^3 Y, {mathbb {Z}}/l)).
Applying a far-reaching classification result of such C∗-algebras by H. Lin, we obtain an example of a one-parameter automorphism group on some AF C∗-algebra which is not approximately inner, a counter-example to the AF version of the so-called Powers Sakai conjecture [23].
Taking the data set shown in Table 1 as an example, and assuming the population size as 50, the number of generation as 1000, the crossover rate as 0.5, and the mutation rate as 0.2 in the proposed genetic algorithm, we can obtain an example rule-set, as shown in Table 3.
Using research obtained as an example, if a policymaker reports in the SAGE interview that he/she obtained systematic reviews (utility = 3.75) and primary research (utility = 1.77), and both resources were recent (utility = 1.30), he/she would be assigned a score of 3.75 + 1.77 + 1.30 = 6.82, which rounded up would represent a score of 7 out of 9, indicating extensive research obtained.
