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The regularization can be applied with respect to the inverse co-factor matrix of an ideal network configuration by choosing the quadratic Tykhonov matrix as (Tarantola, 2005): (8).
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Based on Theorem 4.1, if we choose the quadratic Lyapunov function for the th subsystem, the following result is immediate.
By carefully choosing the kernel, a quadratic TFD will be able to attenuate the cross-terms while maintaining some of the desirable properties of the WVD.
An analytic result for choosing the optimum quadratic complex map in the case of a single critical latitude is presented.
The OMBR design used here was optimised by establishing a number of alternative binary confounding patterns, and choosing the one that best satisfied the quadratic D-optimality criterion.
Choosing the entropy functional to be quadratic, we retrieve the Grad's approximation for the linearised Boltzmann equation.
For doing the same, we first choose E P (d) as E IGMRF d) and compare by choosing other discontinuity preserving MRF priors such as truncated quadratic, truncated linear, and Potts models.
"I wanted to make my grasshopper jump naturally," explains student, Edward Solis, about a math-based game he designed, "by using the quadratic formula I can determine the vertex and which angle its jumping to".
The estimated state x ^ was computed by solving the quadratic programming sub-problem A1.
We also calculated univariate nonlinear selection gradients by incorporating the quadratic and correlational terms.
Even after you know the quadratic formula, periodically practice completing the square either by proving the quadratic formula or by doing some practice problems.
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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.
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CEO of Professional Science Editing for Scientists @ prosciediting.com