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We give a sufficient condition for multiple peaks phrased in terms of two-way interactions.
This result is surprising since it has been claimed that no sufficient local condition for multiple peaks exist.
Using Morse theory, we argue that it is impossible to formulate a sufficient condition for multiple peaks in terms of local genetic interactions.
Recently, Liu [10] obtained the sufficient condition for multiple positive solutions to fourth-order singular boundary value problems in an abstract space.
First, based on the local neighboring communications, a sufficient condition for multiple missiles to realize simultaneous attack with a fixed communication topology is presented, where the topology is only required to have a directed spanning tree.
To see that minimal period-two solutions and multiple equilibria cannot coexist in R + 2, recall that a necessary condition for multiple equilibria to exist is that both equilibrium curves of system (1) must be decreasing in nature.
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Algorithm 1 summarizes the conditions for multiple objects association with the coverage uncertainty.
One of the major step is taken by Liu et al. [14] in the direction of obtaining sufficient optimality conditions for multiple objective programming problem and multiobjective fractional programming problem involving ( H p, r ) -invex functions.
We numerically studied the full (six degrees of freedom) motion of a cargo ship without roll stabilizers in rough (sea state 5) conditions for multiple heading angles ranging from 0° (follower seas) to 180° (head seas).
In this paper we examine general ways of obtaining necessary and sufficient conditions for multiple reaction rates for mechanisms that include coverage dependent rate parameters, surface heterogeneity or formation of a complex compound between two reactants or between a reactant and a product.
Conditions for multiple heat shocks were determined empirically for each genotype to maximize target-gene silencing (determined by western blot) without causing lethality.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com