necessary and sufficient
A Necessary and Sufficient Condition for Graph Matching to be equivalent to Clique Search
... We presented a necessary and sufficient condition (C) for graph matching to be equivalent to the maximum weight clique problem in an association graph. The implications of this result are as follows: first, ...
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Necessary and sufficient conditions for global uniqueness of equilibria
... for necessary and sufficient conditions that guarantee that the projection from the equilibrium manifold to the set of economies is a differentiable bijection and its inverse is also ...
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Transformations and Lorenz Curves: Sufficient and Necessary Conditions
... It is a well-known fact that variable transformations are valuable in considering the effect of tax and transfer policies on income inequality. The transformation is usually assumed to be positive, monotone increasing ...
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A necessary and sufficient condition for uniqueness of the trivial solution in semilinear parabolic equations
... simple necessary and sufficient condition on f for uniqueness of the trivial solution in a semilinear parabolic equation with con- tinuous, increasing nonlinearity f ...
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SDF 1 is both necessary and sufficient to promote proliferative retinopathy
... There are currently 2 large-scale phase III clinical trials underway for the treatment of AMD and DME. Both involve blocking the activity of VEGF by binding to it and inhibiting its signaling with its receptor (34, 35). ...
9
NECESSARY AND SUFFICIENT CONDITIONS FOR THE WAVE PACKET FRAMES ON POSITIVE HALF-LINE
... Abstract. In this paper, we consider wave packet systems as special cases of general- ized shift-invariant systems, a concept studied by Hern´ andez, Lebate and Weiss. The objective of the paper is to construct wave ...
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Necessary and sufficient quantum information characterization of Einstein-Podolsky-Rosen steering
... a necessary and sufficient characterization of steering, based on a quantum information processing task: the discrimination of branches in a quantum evolution, which we dub subchannel discrimina- ...
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A necessary and sufficient condition for non smooth linear state optimal control problems
... x(θ) in the solution to (P). Jullien’s Theorem, however, uses the stronger hypothesis that S(·) is twice continuously differentiable. Our technical contribution is to weaken these hypotheses to requirements of upper ...
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Endoderm derived Fgf3 is necessary and sufficient for inducing neurogenesis in the epibranchial placodes in zebrafish
... observations with additional markers of early EB placode induction when they become available. Once the EB placodes are established, we suggest that neurogenesis is stimulated by endoderm-derived Fgf3 (Fig. 8B). However, ...
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The fluffy Gene of Neurospora crassa Is Necessary and Sufficient to Induce Conidiophore Development
... Figure 8.—Proposed role of regulators in development and gene expression. RCO1 (a homolog of S. cerevisiae Tup1p) functions in vegetative hyphae to repress expression of the developmentally regulated genes eas, con-6, ...
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Female biased dimorphism underlies a female specific role for post embryonic Ilp7 neurons in Drosophila fertility
... was necessary and sufficient for serotonin expression in the shared dorsal Ilp7 subset, but although it was necessary for eliminating female-specific Ilp7 neurons in males, it was not ...
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Necessary and sufficient conditions for oscillation of fourth order dynamic equations on time scales
... In this paper, we obtain necessary and sufficient conditions for oscillation of a fourth order dynamic equation on time scales with deviating arguments. We discuss the oscillation behavior of solutions for strongly ...
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A necessary and sufficient condition for the strong convergence of nonexpansive mappings in Banach spaces
... In this paper, we establish a necessary and sufficient condition for the strong convergence of nonexpansive mappings in a uniformly convex and 2-uniformly smooth Banach space. It is worth pointing out that we remove ...
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Necessary and sufficient conditions for functions involving the psi function to be completely monotonic
... the necessary and sufficient conditions such that the functions involving R(x) = ψ (x + 1/2) – ln x with a parameter are completely monotonic on (0, ∞), find three new sequences which are fast convergence toward the ...
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On Necessary and Sufficient Conditions for Private Ballot Submission
... As a result, Bernhard et al. [9] recently suggested modifying the ballot preparation protocol of Helios in order to strengthen the encryption mechanism that is used there (using the Naor- Yung transform [19, 15] on ...
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Sufficient and necessary condition for the permanence of periodic predator prey system
... The organization of this paper is as follows. In Section 2, we agree on some notations, give some definitions, and state three lemmas which will be essential to our proofs. In Section 3, by introducing the techniques ...
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On the Necessary and Sufficient Conditions for Legitimate Banking Contracts
... only necessary in a sharing situation, whereby at least two parties will collaborate and reach agreement on how to share a scarce resource. To say that we will share the rent of an apartment implies that we will ...
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Myocardin is sufficient and necessary for cardiac gene expression in Xenopus
... Injection experiments show that expression of myocardin is able to activate high levels of expression of myocardial marker genes at ectopic locations in the Xenopus embryo (Fig. 3) or in animal cap tissue (Fig. 4). ...
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A necessary and sufficient condition for the inequality of generalized weighted means
... a necessary and sufficient condition to establish the inequality between generalized weighted means which share the same sequence of numbers but differ in the ...general, necessary and sufficient, ...
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The Analyticity for the Product of Analytic Functions on Octonions and Its Applications
... The rest of this paper is organized as follows. Section 2 is an overview of some basic facts concerning octonions and octonionic analysis. Section 3 we give some sufficient conditions for the product f x g x ( ) ( ...
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