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The explicit coefficient matrix of B-spline with equally spaced knot and Bézier curves and surfaces can be obtained by these formulae.
We investigate the radiative corrections to the binding energy and prove upper and lower bounds which imply that Ebin= me4Z2/8π2+c0e6+O e7lne) with explicit coefficient c0 and independent of the ultraviolet cutoff.
Numerical stability (or instability) of numerical solutions for given choices of spatial and time increments is determined by evaluation of the eigenvalues of the explicit coefficient matrix and comparing the maximum eigenvalue with the requirements of a stability criterion developed before by the author.
Here we showed that such epistatic behavior could be produced as a generic feature of GRNs even without sexual reproduction and without an explicit coefficient for hidden variation as expected from previous stochastic models [ 29, 34, 53- 56].
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Response sensitivity coefficients with respect to nuclide cross sections consist of two parts, explicit sensitivity coefficients and implicit sensitivity coefficients.
The objective of this paper is to formularize the GDQR expressions and corresponding explicit weighting coefficients, while the derivation of explicit weighting coefficients is one of the most important aspects in the differential quadrature methods.
The explicit sensitivity coefficients, which account the direct impact of cross sections on the responses through neutron transport equation, can be calculated efficiently with the classical Perturbation Theory.
The Hermite interpolation functions are used as trial functions to obtain the explicit weighting coefficients for an easy and efficient implementation of the GDQR.
with homogeneous Neumann boundary conditions along ∂ Ω. Sethian [7] developed a good number of efficient schemes for the numerical solution of these types of equations, some of which are the fast marching scheme, the explicit positive-coefficient scheme, the explicit Petrov-Galerkin scheme, and some other schemes for so-called curvature type flows.
The recently developed EoS/GE models are mixing rules for the equations of state energy parameters based on the equality of the GE's as obtained from the EoS and from an explicit (GE)/activity coefficient model, e.g. UNIFAC, NRTL.
Alternatively, one can estimate explicit risk aversion coefficients and discount rates at the individual level using structural econometric methods.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com