Sentence examples for asserted the following from inspiring English sources

We asserted the following in [1, Theorem  2.9].

They imposed a compactness hypothesis on the operator S and some other properties on the operator (I-T), and then asserted the following result.

They also asserted the following: 'Future directions to be pursued in the context of this research include the investigation of the case where both mappings in Zhang and Song's theorem are multi-valued.' By research in the literature such as [1, 7] and specially [16] (see [[16], Problem 3.2]) one deduces the following problem, a conjecture in the literature.

After this theorem, we asserted the following in [1, Remark  3.3] that: (iii)"If is a non-vanishing map and a sub-additive cone integrable on each such that for each, and, then is satisfies in all conditions of [1, Theorem  3.2].

Joseph Stiglitz, an American economist asserted the following in his article titled The Myth of the War Economy: "The 1990s boom showed that peace is economically far better than war.

City Room was granted a semi-exclusive audience with the future Hall of Famer on Thursday afternoon as a sort of pregame to his appearance at Macy's Herald Square to pitch a few bottles of the fragrance that evening, and Mr. Rivera asserted the following: He has worn the cologne "a few times" and "definitely" likes it for its "essence".

Specifically, it asserts the following: *Condoleezza Rice, Mr. Bush's national security adviser, gave Mr. Clarke "the impression she had never heard the term" Al Qaeda "when she first took office".

Nick Rowe sends me to Keen's latest, which asserts the following about New Keynesian models: Firstly, there are similar underlying principles to the DSGE models that now dominate Neoclassical macroeconomics, and as with Ptolemaic Astronomy, these underlying principles clearly fail to describe the real world.

The celebrated fixed point theorem of Banach asserts the following.

The Caristi's fixed point theorem asserts the following.

The traditional mode of authentication system asserts the following three elements as the foundation of authentication: "something you know," "something you have," and "something you are".