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This functional approximation is specifically obtained by means of a polynomial chaos expansion, the coefficients of which are computed through a Gauss Legendre quadrature rule.
The identified footstep force is then generalized using a time series, the coefficients of which are obtained from collected samples of footstep forces.
The solution is derived in the form of an infinite series, the coefficients of which are determined by solving a set of algebraic equations.
First, the profile faced by the lower row sensors is represented by Fourier series the coefficients of which are obtained by matrix inversion.
The discontinuous Galerkin (DG) method has found widespread application in elliptic problems with rough coefficients, of which the Darcy flow equations are a prototypical example.
The experimental results are compared with the theoretical predictions obtained from a wake oscillator model the lift coefficients of which satisfy a modified van der Pol equation.
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The mixture fraction is computed separately as a passive species, the diffusion coefficient, of which is equal to the local thermal diffusion coefficient.
Results show that significant energy savings are obtained for the thermal transmittance (U-value) of exterior walls, infiltration rate, ventilation and shading coefficient, of which the sum relative sensitivity is about 91.06%.
In the first part of this section, the linear homogenous differential equation, the coefficient of which depends on a random Markov process, with two states only is considered.
The susceptible individuals of the ( n + 1 ) th generation are only infected by the infectious individuals of the n th generation, and β j is the constant transmission coefficient of which the susceptible is infected by compartment y j.
As shown in the inset in Figure 3, plot of 1/(A0-A) against 1/[ Q gives a straight line, the correlation coefficient of which is 0.9986 and the binding constant (KA) is equal to 2.32 × 103 L · mol−1.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com