(iii) Since in the results of [1, 2] and [4], the spaces ( X, d ) are Hausdorff and complete, and the maps T : X → X are continuous, therefore, Theorems 4.1 and 4.2 are new generalizations of [1, 2] and [3], respectively; more precisely, the assertions are identical, but assumptions are weaker.
On paper, Taiwan's claim is identical to that of China, whose assertion of sovereignty over most of the sea, within a vast mysterious U-shaped line around its edges, has alarmed its neighbours.
It corresponds to an assertion that t1 is identical to t2.
First, pantheism can be understood as the denial of any distinction whatsoever between God and the natural world and the assertion that God is in fact identical with everything that exists.
Stevens was especially offended by Kennedy's blithe assertion that corporations and human beings had identical rights under the First Amendment.
Just to use our earlier case again: An assertion and a conjecture that P have identical conditions of satisfaction, namely that P be the case.
But then (given the transitivity of identity) both survivors would also have to be identical to each other, which seems obviously false (although see Belzer 2005 for doubts about this assertion).
Without adequate randomized controlled clinical trials, the assertion "Since the molecular structure of GcMAF is identical to that of the native human MAF, GcMAF (even 5 - fold higher therapeutic dosage) produced no side effects" is wrong and dangerous.
The first of these assertions would apply if the algorithms are independently identical.
We agree with Dr. Grundmann's assertion that pure curcumin isolated from Curcuma longa should have identical effects when dissolved in DMSO in cell culture studies as it should retain the same chemical properties.
