Sentence examples for assumed the validity from inspiring English sources

The theorem assumed the validity of a condition, which would be violated in the reversed motion; i.e., Condition A itself already contained a time-asymmetrical element.

Using the Einstein summation convention[34], equation (1) can simply be written as Riemann assumed the validity of the Pythagorean metric only in the infinitely small.

The department's data management team denoted erratic data, and we assumed the validity of the remainder with the exception and exclusion of negative and duplicated values.

The model assumed the validity of Darcian flow and the advective dispersive solute transport in each of the two domains with inter-domain transfer of water and solutes due to pressure and concentration gradients.

These involved some measure of shared sacrifice and vision, and assumed the validity of a social contract that could provide solutions to issues relevant to all citizens, the "we" that Obama frequently proselytizes.

In reality, he assumed the validity of the model from the beginning and simply studied the possibility of continuous accumulation of incompatibility genes.

Mathematicians, too, begin by assuming the validity of common argument forms without making any serious attempt to validate them, and there is nothing seriously wrong with their proceeding in this manner.

In the majority opinion, Justice Kennedy said that "we assume the validity of the underlying administrative structure and trusts, without intimating any opinion on that point".

Polk Laffoon IV Cincinnati, May 19 , 2009• To the Editor: Leaving aside the questions that any leadership researcher would have about David Brooks's column, let's assume the validity of the broad conclusion that execution is more important than "people skills".

Assuming the validity of the big bang model, one attempts to answer the question: How long has the universe been expanding in order to have reached its present size?

Good strategy; having mentioned that, he doesn't have to prod readers to think about this postdemocratic age when the superstars, the sports, the Olympics, are parts of global corporate enterprises trying to manipulate, and satisfy, a public that simply assumes the validity of its every sovereign judgment about everything.