Sentence examples for functional with time from inspiring English sources

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This paper presents a novel non-quadratic Lyapunov functional with time delay for controller design and H∞ disturbance rejection for nonlinear systems.

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Liu et al. [20] established a predator-prey model considering Holling type-I functional response with time impulse, and the authors completely established the stability properties of the relevant equilibria of the model.

Using five data points (prokaryotes, eukaryotes, worms, fish, and mammals), the author deduces an exponential increase in functional size with time.

Hence, the kidney, much like the ovary, accommodates by having a large reserve functional capacity (i.e., ∼70% loss of nephrons before clinical symptoms present) which buffers the inevitable and gradual loss of functional units with time.

Because esMDMs maintain a stable and functional phenotype with time and the method can be scaled up to produce large number of cells, it will be particularly useful for investigating macrophage-specific functions in various diseases including atherosclerosis, sepsis, cancer, tuberculosis, and HIV-1.

However, there are relatively exiguous results dealing with boundary value problems of fractional functional differential equations with time delays.

However, there are relatively scarce results dealing with the boundary value problems of fractional functional differential equations with time delays.

The ITSSIP model can help generate optimal solutions under different waste-generation rates and multiple constraint-violation probabilities and tackle variations of the functional interval parameters with time.

The aim of this paper is to study the existence of solutions for triple-point boundary value problems of fractional functional differential equations with time delays and integer boundary value conditions.

In fact, the dominance of these two plant functional groups decreased with time: the mean percentage biomass of grasses in mixtures decreased from 46±6% in 2004 to 22±5% and 28±5% in 2006 and 2008, respectively, and the mean percentage biomass of legumes in mixtures decreased from 31±5 % and 39±5 in 2004 and 2006, respectively, to 18±4% in 2004 [50].

We first identified for each functional run voxels with time course jumps ≥4 SD.

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