Sentence examples for observing the facts from inspiring English sources

Exact(1)

Taking lim supm→∞on both sides and observing the facts that limm→∞μ m = 0, limm→∞ξ m = 0 and lim supm→∞lim supn→∞||x n - T m x n || = 0, we derive that limsup m → ∞ f T m x * ≤ limsup n → ∞ x n - x * 2 + k limsup m → ∞ x * - T m x * 2 (1.15).

Similar(59)

After observing the fact of thought, Rosmini concludes that its absolute basis, without which nothing is thought and thought is nothing, must be the knowledge of being.

Proof Observing the fact that, for any random variable ξ and a ∈ R, E ξ I { ξ ≥ a } = a P ( ξ ≥ a ) + ∫ a ∞ P ( ξ ≥ x ) d x, (2.1).

Observing the fact that most editing operations are actually local, a domain decomposition framework is employed to provide unified interface for shape editing, FEM system updating and shape optimization.

By observing the fact that P ( O A 2, E ) ≤ ̇ P e [7], the outage probability of model 4 in situation A2 event E can be upper bounded as P ( O A 2, E ) ≤ ̇ ρ − ( 2 M r + 2 ) ( 1 − r ~ ).

Observing the fact that Clinton has worn green on three occasions is thus offered by Latimer as a "pointer".

In the context of being smober, make use of the times when you don't feel like smoking by actively observing the fact that you are not a smoker in that moment.

The best explanation for this correlation between percent-participation and exam grades comes from observing the fact that students in the "D" and "F" grade ranges had lower percent participation than students in the "A," "B," and "C" ranges.

"It's best to observe the facts without necessarily having a theory".

In such cases, our intelligence is invited to observe the facts, to study them in reference to a specific environment and to derive principles from them.

A philosopher worthy of the name, such as Newton, disdains empty, a priori speculations; he observes the facts and reasons from them.

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