Sentence examples for as in the assertion of from inspiring English sources

Let ℱ be as in the assertion of Theorem 3.1.

It is clear that the map T satisfying (1.1) is continuous and satisfies (1.2), and in the assertion of Theorem 1.2, the uniqueness such as in the assertion of Theorem 1.1 does not necessarily hold.

Opening the event, the novelist Colm Toibin said: "Any historian writing about the slow and often gnarled progress of liberty in Ireland will see today as a central moment in the assertion of personal freedom in our country".

This is what is known, in academic circles, as "the binary," the assertion of categorical difference.

The former cannot be understood as the assertion of universal subjectivism, since it is in fact inconsistent with it.

Plato is standardly understood as explaining false belief (doxa) in terms of the assertion of a false statement (logos).

Consequently, the assertion of the theorem holds in this case.

Consider the assertion of (10).

In order to prove this assertion, we proceed as in the proof of Claim 2 in Theorem 1.

In substance, Kant never went further than this negative and generic assertion of the beautiful, just as, in the Critique of Practical Reason, once he had vindicated the moral law, he did not go beyond the generic form of duty.

An important finding concerning eye movement revealed the importance of a lingering gaze, as opposed to a glance or a watch, in the dialogic exchanges that took place for infants with their teachers and featured as a pedagogical priority in keeping with the assertions of the teachers themselves (White et al. 2015a).