Sentence examples for proving the statement from inspiring English sources

The same methods should also be useful for proving the statement for (n=5,6).

Figure 1 shows a student making a dynamic depictive gesture while proving the statement that 'The sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.' The gesture uses motion-based transformations to show two sides of the triangle being unable to meet.

This means that Equation (4) can be rewritten as follows: ∑∀τ w I yopt= y=∑∀τ∈ C w, proving the statement in this lemma.

Computing w X, Y  can be done in O(n +  m) time, and applying Proposition 1, MCM X, Y, w) can be computed in O(n +  n m) time, proving the statement in Theorem 1 regarding MCM.

In all, the running time of Algorithm 2 is O(n +  n m), proving the statements regarding All- Cavity- MCM and All- Pairs- Cavity- MCM in Theorem 1.

Not only does it require that the plaintiff prove the statement was made, but also that it contains "falsity" and has had a negative impact on the plaintiff.

They have curves C1 that goes around R1, and C2 goes around R2. OK, so, what I would like to say is if we can prove that the statement is true, so let's see, for C1 and also for C2 -- -- then I claim we can prove the statement for C. How do we do that?

Instead, we have held that a public official may recover for defamatory falsehoods relating to his official conduct if he can prove the statement was made with 'actual malice.' New York Times Co. v. Sullivan, 376 U.S. 254, 84 S.Ct.

This proves the statement (i).

This proves the statement of Lemma 3.3.

We finally prove the statement (iii).