Sentence examples for deduced with the help from inspiring English sources

These stability conditions were deduced with the help of the construction of an appropriated common Lyapunov function, and also by the resort to the Kotelyanski lemma and the M-matrix proprieties.

Most skull character scorings were therefore removed from Ordosemys leios, except for a few that could be deduced with the help of the skull fragments associated with the holotype.

Croce is no doubt right to want to distinguish these things, but whether his official position that expression is identical to intuition will let him do so is another matter; he does not actually analyze the phenomena in such a way as to deduce, with the help of his account of expression, the result.

The coding sequences were deduced with the sequencing result of the 5'- and 3'-ends.

The number of populations in our collection was deduced with the STRUCTURE software [ 33].

The linkage could not be deduced with the reducing end derivatization used.

Tim Devine said the family was at first mystified by the high mortality rate in the new barn, but deduced the problem with the help of an electrician and some research on the Internet.

Criteria (4.66 - 4.67) can be deduced from Theorem 1.1 with the help of estimates (4.63) and (4.69).

Proof Since Θ 0 : = m 1 ≤ m 2 : = ϒ 0, we deduce by simple mathematical induction, with the help of (1.1), that Θ n ≤ ϒ n for each n ≥ 0. Now, using the fact that m 1 is stable, we can write, again with help of (1.1), Θ 0 = m 1 = R ( m 1, m 1, m 1 ) ≤ R ( m 1, m 1, m 2 ) = R ( m 1, Θ 0, m 2 ) = Θ 1.

The following inequalities could be deduced by using Young's inequality and norm inequalities with the help of changing the order of summations or exchanging the indices of the summations: (58).

Chinese coaches put extraordinary faith in assessing a child's dimensions, sometimes with the help of X-rays, to deduce athletic potential.