Sentence examples for for the sufficiency from inspiring English sources

We prove two new criteria for the sufficiency of the von Neumann condition for stability of difference schemes.

The dual program is monotonic and sub-modular, providing stronger results, including a proof for the sufficiency of one-shot deviations.

Whether the Court's actions will benefit only defendants in antitrust treble-damages cases, or whether its test for the sufficiency of a complaint will inure to the benefit of all civil defendants, is a question that the future will answer.

Then, using demographic data, I estimated how much of these micronutrients were available to each person, and compared that to how much each person needs, and came up with a number for the sufficiency of iron, zinc and vitamin A, per capita, per day in the Indian food supply.

Trouble is not over for the sufficiency premise.

The argument for the sufficiency of these conditions is also straightforward.

The District Court then certified to the United States Court of Appeals for the Second Circuit the question of the sufficiency of the complaint on which the default judgment was based.

In this paper we present a new proof of the sufficiency theorem for strong local minimizers concerning C1-extremals at which the second variation is strictly positive.

Further, Sections 4 and 5 contain the complex-analytic proofs of the sufficiency implications for and, respectively.

Proof For proving the sufficiency of the theorem, let us assume that conditions (6.2 - 6.7 6.2 - 6.7 take any x = ( x k ) ∈ c λ ( B ˜ ).

In his Questions on the "Metaphysics," he puts it thus: "The various ways for showing the sufficiency of the categories [so far] all seem to err in two ways" (Scotus 1997, V, q. 5 6, n. 73).