Sentence examples for a condition for multiple from inspiring English sources

In a previous work [ 12] a condition for multiple steady states was derived within the framework of CRNT.

A condition for multiple steady states in biochemical reaction networks is derived and demonstrated in [ 12] for weakly reversible networks.

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.

We give a sufficient condition for multiple peaks phrased in terms of two-way interactions.

Using Morse theory, we argue that it is impossible to formulate a sufficient condition for multiple peaks in terms of local genetic interactions.

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.

As originally conjectured by Thomas [ 32] and later proven [ 33], a necessary condition for multiple equilibria (also known as multistationarity) in Eq. 1 is the presence of a positive circuit in the interaction graph (i.e., a circuit for which the product of the signs of the edges is positive; see Fig. 2) for at least one set of species concentrations.

A condition for answers appropriate for multiple-answer problems is that they are sufficiently confusing so that the learner cannot judge whether the erroneous answers are clearly different from the correct answer.

The results support the concept that CLL/MLL is a condition of multiple aetiologies with evidence for genetic predisposition through an excess of family cases, immune perturbation demonstrated by excessive previous skin diseases and phenylbutazone use, and viral involvement shown by links with infectious diseases and multiple sclerosis.

This result is surprising since it has been claimed that no sufficient local condition for multiple peaks exist.

Recently, Liu [10] obtained the sufficient condition for multiple positive solutions to fourth-order singular boundary value problems in an abstract space.