Sentence examples for modified theorem is from inspiring English sources

Assume that the modified theorem is not true.

In this paper, the restricted form of the principle of quasi work – the so-called modified Betti׳s theorem – is used for developing an alternative analytical solution of beams on an elastic foundation.

Theorem 1 is a slightly modified theorem obtained in 1970 by Osler [26].

We shall prove the modified theorem.

Further, the theorem is modified to the shift sampling in function spaces by using the Zak transform.

This means that we can easily modify Theorem 8 to be connected with Geraghty's theorem.

The following theorem modifies Theorem 2.5 when f is only defined at N a.

Next theorem is derived from Theorem 3.1, and we modify the result of [11] as follows: Theorem 4.2.

In Healey's proposal, the biorthogonal decomposition theorem is used, but the set of possible properties is subsequently modified in order to fulfill a variety of desiderata.

Now, we know that theorem is false.

A new theorem is a breakthrough in human thought.