Sentence examples for derived it for from inspiring English sources

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Newton tied the inverse-square to Kepler's planetary laws (1684) and derived it for gravity (1687).

In principle, a decrease of the interaction parameters with increasing temperature, as we derived it for the values from the Becker model, seems very plausible, as it reflects a decrease of structural strain with increasing molecular motion.

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However, to verify (3.1) to apply Theorem 3.1, it is useful to have (2.2) instead of deriving it; for example, see the proofs of Corollaries 4.1 and 4.2.

We derive it for the general case of multicomponent plasmas and show some numerical tests for the two-component (electrons and ions) case.

It seems to have strong echoes of what the ancient Greeks felt about democracy in Athens: that once you get beyond 15,000 to 20,000 people – the "polis" or city from which the name "politics" is derived it's difficult for people to really feel they have influence.

For this play Čapek invented the word "robot," deriving it from the Czech word for forced labour.

Once a "global" optimal pricing is derived, it would stay static for a period of time, allowing users to be charged with the same rate while roaming.

In this way, the characteristics of the interaction graph are preserved in the logical description and can easily be derived from it, for example, if the user wants to compute the feedback loops (implicitly) contained in the logical network.

A further implication of our analysis is that a financial incentive, such as the proposed English "health premium," paid to those local authorities experiencing the greatest improvement in life expectancy or a similar indicator derived from it (for example, health expectancy) would reward the more affluent local authorities rather than the most disadvantaged areas with the greatest need.

However, in this example, another direction is chosen to clarify the algorithm such that at the end of the two-point search, only the N × 2N part-0 PU obtains a better best match position (P2), where its current smallest MV cost is 30, smaller than its previous best match (40) and the other MV costs derived for it.

Instead, a corresponding noninformative 'objective' prior is derived for it, below.

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