Sentence examples for we assert from from inspiring English sources

Observing that the condition λ n → 0 implies α n → 0 and the condition ∑ n = 1 + ∞ λ n = + ∞ holds, we assert from (3.8) and (3.10) that in order to complete the proof using Lemma 2.2, it suffices to verify that lim k → ∞ η n k = 0. implies lim sup k → ∞ δ n k ≤ 0. for any subsequence ( n k ) ⊂ ( n ).

Now we can introduce a function constant \(K\) together with the assertion Since evidently we may assert \ \Phi(U \) and \ \Phi V \), it follows from (2) that we may assert \(U KU \) and \(V KV \), whence also, using (1), Using the distributive law (which holds in intuitionistic logic), it follows that we may assert From the presupposition that \(0 \ne 1\) it follows that is assertable.

Observing (3.2) and (3.3) and using Theorem 2.1, we see that A has a fixed point on Q r 3, R 2. Next, in the case that ( H 4 ) and ( H 5 ) are satisfied, by the method as in establishing (3.3), we can assert from ( H 5 ) that for any r 4 ∈ ( 0, r 2 ), A u ≱ u, ∀ u ∈ ∂ B r 4 ∩ Q 1. (3.5).

Fire, air, water, earth, we assert, originate from one another, and each of them exists potentially in each, as all things do that can be resolved into a common and ultimate substrate.

We assert that microscale information drawn from molecular models of the fabrication of the body provides a valuable source of prior information on parameters as well as a means for estimating model bias and designing virtual validation experiments to provide information gain over calibration posteriors.

From [11], we assert that φ, f, g in the above definition are doubling, namely φ ( 2 t ) ≤ C 1 φ ( t ) for all t > 0, and the completely similar property remains valid if φ is replaced correspondingly with f, g.

From this we assert that at the threshold of top 20 percentile outlying scores, our detection method is correct about 97% of the time (2 false positive in 64) in a priori identification of SFPs from the Affymetrix rice genome array data using RNA-based datasets.

Once we have extracted dates from the text, we assert that the mentioned dates occur after the tweets post time.

We assert that STMMs are not exempted from this evaluation due to their altruistic and transient nature.

IN the face of this long history of disobedience, it is hard to take seriously the claim by the Constitution's defenders that we would be reduced to a Hobbesian state of nature if we asserted our freedom from this ancient text.

Each of the defendants has asserted from the start that the other was more responsible for what happened.