Sentence examples for by using an argument from inspiring English sources

We show that a special case of the inequality, involving only two functions, implies the general case by using an argument from the theory of linear programing.

We can obtain the result by using an argument similar to that in Theorem 4.5.

By using an argument like the method in Theorem 3.10, we have the following more general algorithm and convergence theorem.

We can prove this theorem by using an argument similar to that introduced in [33], Theorem 2.2.

For a j ( z ) = A j ( z ) e α j z + D j ( z ), by using an argument similar to the above, we also obtain a contradiction.

By using an argument similar to the above proofs and that of Theorem 1.2, we can also show the boundedness of [ b →, g λ, α ∗ ]. □.

This result is proven by using an inductive argument.

Apostol [14] could deduce (1.10) from (1.6) by using an elaborate argument.

Jayne objected to this designation, but I defended myself with what I termed "an argument from reality" — which was also objected to by Jayne, who said I was using "an argument from being really annoying".

This is accomplished by using a tilting argument to construct a first approximation to a pivotal quantity, and then by using a version of Stein's identity and very weak expansions to determine the correction terms.

(2.6) We will prove (2.6) by using a pedagogical argument.