Corollary

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Corollary

A consequence or result that can be logically drawn from the existence of a set of facts by the exercise of common sense and reason.

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However, the results of Corollaries 7 and 8 require that a < 8/108,996.
Novel Conditions for Robust Stability of Bidirectional Associative Memory Neural Networks with Multiple Time Delays
The above expressions for P([X.sup.[r].sub.n]) are the same as the ones in Corollaries 3.5 and 3.6.
Asymptotics of smallest component sizes in decomposable combinatorial structures of alg-log type
1 (Corollaries 3.73.-9), Theorem 3.3 (Corollary 3.10) and Theorem 3.5 (Corollaries 3.11-3.14), when one of the coefficients [A.sub.ik] (z), i = 1,2, 3,4, is chosen to be identically zero.
Structural and recurrence relations for hypergeometric-type functions by Nikiforov-Uvarov method
Possible corollaries (of negative beliefs): Students fail to recognize their achievements, thus do not actively build upon previous successes such as volitional behaviors (e.g.
Psychological perspectives in assessing mathematics learning needs
Under the conditions of Theorem 2, we have the following remarks and corollaries.
Some weighted generalizations of open Newton-Cotes type inequalities for mappings of bounded variation and their applications *
The conclusion follows by using the results of Theorems 2 and 3 along with the formulas for the sums of i and of [i.sup.3] (these formulas appeared in the proofs of Corollaries 2 and 5 of Theorem 1).
Sums of products of positive integers
O'Hara did his best to ignore those impediments; he threatened to bring us closer than we'd imagined possible to th taboo Jerusalem of "feeling." And that is why the spectacle of his insouciance and of all its fond, revolutionary corollaries seems now, more than a decade after the advent of AIDS, and nearly three decades after his death, so irretrievable and utopian.
Jasper Johns: 'In Memory of My Feelings' - Frank O'Hara, 1961
By using eleven different (but somehow plausible) assumptions, Deardorff proves the following Theorems and corollaries:
Replacing the autarky factor prices with the corresponding post-trade prices: an extension of Deardorff's factor-proportions theory of trade
To check for underflow, we scale the lower bounds in corollaries 3 and 4 by [omega]/10.sup.10.(R - L) before comparing them to [tau].
Computing Poisson probabilities
Note that [P.sub.0,0] =[[summation].sup.n-1.sub.t-0] n[[S.sub.t,t]] in [G.sub.0] ([H.sub.n] (0, q)) by Corollaries 4.5 and 4.6.
The projective class rings of a family of pointed hopf algebras of rank two
From Corollaries 13 and 16, the following corollary is obvious.
Zagreb eccentricity indices of the generalized hierarchical product graphs and their applications
By Theorem 2.1, we can obtain the following corollaries. Consequently, the corresponding results in [4] and [5] are generalized.
Some properties and generalizations of generalized m-power matrices

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