Sentence examples for implied by the fact from inspiring English sources

Its unity is implied by the fact that all dimensions of existence, from the budding of a flower to the orbit of the stars, may be denominated in terms of Qi (ch'i) the fundamental energy-matter of the universe whose dynamic pattern is a cosmic heartbeat of expansion (yang) and contraction (yin).

Another instability mechanism is implied by the fact that the thicker and more extensive an ice sheet is, the more snowfall it will receive in the form of orographic precipitation (precipitation resulting from the higher altitude of its surface and attendant lower temperature).

Then we have and by the weak lower semicontinuity of the norm and by the fact that for all which is implied by the fact that, we obtain.

He claims that this conception of rationality is implied by the fact that decision theorists are able to represent the rational actions of any agent possessing a well-behaved preference ordering as the maximization of a utility function.

That rising lymphedema treatment costs rose due to inflation is implied by the fact that while the dollar amount of lymphedema claims is rising, the percent of average contract claims remains essentially constant, ie the cost of healthcare is rising and it is dragging lymphedema costs along.

Maximizing q is equivalent to maximizing the size of the subsample and is subject to constraints implied by the fact that the number of pensioners to be included in each cohort of the subsample has to be a natural number (non-negative integer) and that the subsample obtained must be included in the population as well as in the CSWL.

A potential link between cytoskeleton dynamics and gene regulation is implied by the fact that DLC8 binds to the inhibitor of the transcription factor NFkB preventing its translocation to the nucleus [ 27, 28].

A different explanation is implied by the fact that young giraffes are far more vulnerable to predation than adults: more than half of all giraffe calves die within a year, and giraffe mothers hide their calves, which spend much of the time lying down in cover while their mothers are away feeding.

(For a review of IL-6 in auto-immune disease and chronic inflammatory proliferative disease, see the article by Ishihara and Hirano [ 29].) That IL-6 is involved in autoimmunity was first implied by the facts that patients with cardiac myxoma frequently exhibit autoimmune symptoms and that cardiac myxoma cells produce IL-6 [ 30].

Moreover, there exists a positive integer k 0 such that x k 0 − 1 < F ( b ) ≤ x k 0. In fact, otherwise, note that x k < F ( b ) for any integer k ≥ n, implying, by the fact that F ( a ) < a ≤ x k and (4.6), that x k + 1 exists, which shows that x k exists for all integers k ≥ 1 and the sequence { x k } is strictly increasing.

These mathematical facts implied by the model unveil an underlying mechanism that may explain couple disruption in real scenarios.