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The relation between the Kendall rank related coefficient к and the related parameters β of Frank Copula function can be expressed as: kappa =1+frac{4}{beta}left[{D}_kleft(beta right -1right] (27).
The binomial model was highly significant and applied to fit the experimental data, due to its higher related coefficient.
Coupling the influences of buoyancy acceleration, entrainment deceleration and "friction force" on the axial fuel velocity, the formula of the puffing frequency was deduced through introducing a buoyancy and friction force related coefficient and a decay coefficient that employs the entrainment deceleration of the axial velocity.
In comparison with some similar results given in recent decades, it successfully reduced the related coefficient.
These amplitudes and the related coefficient 1/ω 4 in the above equation increase with increasing the wavelength, and therefore, the position of the plasmonic maximum in the function Rate NP (this function is given in Additional file 1) becomes red-shifted.
According to the experience we learn from the plane, the higher the absolute value of two included angle cosine is, the closer the collinear two vectors are, and it also explains the meaning of related coefficient: in two groups of data, the higher the absolute value of correlation coefficient ρ XY is, the more linear the two data sets are.
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We show that a simple singular value decomposition of gPC related coefficients combined with the fast Fourier-spectral method (in velocity space) allows one to compute the high-dimensional collision operator very efficiently.
To obtain the related coefficients, the LSM needs more training pair vectors than the number of the coefficients.
end{aligned} (2.3) Next, we illustrate how to determine all the related coefficients in (operatorname{MC}_{k}(n)). The choice of the initial-correction sequence (operatorname{MC}_{0}(n)) is crucial.
We consider three distinct types of elastic springs along edge, face diagonal, and body diagonal directions, and the three main related coefficients are defined as K 1, K 2, and K 3, respectively.
Number-theoretical problems led Gauss to relate coefficients of quadratic forms, i.e., expressions such as x2 + xy − 2y2, and linear maps in three dimensions to matrices.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com