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(1) Here, (x t)) is the population density at t, a, b, c are positive constants, a expresses the innate capacity of increase, b, c express the density restriction coefficient, the integral kernel k is continuous and meets (int_{0}^{infty} k(s), ds = 1) and (int_{0}^{infty} sk(s),ds < + infty).
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Isolates with PFGE patterns differing in one to four restriction fragments (coefficient of similarity ≥ 90%) were considered to belong to the same genotype.
However, the monotonicity conditions have a strict restriction on coefficients.
We impose zero and equality restrictions on coefficients to reduce the system to 67 coefficients (Table 5 GLS_67 coefficients).
The computational expenditure of both realisations is derived under the restriction of finite coefficient wordlengths.
First, a Structure-Constrained Low-Rank Dictionary Learning (SCLRDL) algorithm is proposed, which imposes both structure and low-rank restriction on the coefficient matrix.
Diffusion-weighted images showed heterogeneous hypointensity without strong diffusion restriction [apparent diffusion coefficient (ADC) value = 1.39 × 10−3 mm2/s] (Fig. 2b).
We do not impose any restriction on the coefficient L ( t ), and we only require T ( t ) to be an equicontinuous semigroup.
If D ⊂ X is bounded, closed, and convex, the continuous map Q : D → D is β-condensing, then Q has at least one fixed point in D. In order to remove the strong restriction on the coefficient in Darbo-Sadovskii's fixed point theorem, Sun and Zhang [29] generalized the definition of a β-condensing operator.
We prove an existence result with no such restriction on the coefficients.
All the results are obtained without any restriction concerning the coefficients, being applicable for any system of variational difference equations.
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CEO of Professional Science Editing for Scientists @ prosciediting.com