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You may say that this kind of definiteness is just a verbal trick, or proceeds merely from a childish desire to shock.
Although we can threshold the eigenvalues of the Hessian matrix to ensure positive definiteness, this method might generate useless coefficients.
Notably, this approach incorporates more geometry and thermal information into constructal optimization and improves the definiteness of frontiers between high and low conductivity materials.
He stood with that definiteness".
I quite like the definiteness of that.
By using the definiteness of matrix and the properties of M-matrix, several sufficient conditions are established to guarantee the global output convergence of this class of neural networks.
We include an appendix that proves the positive definiteness of this covariance function.
For the UCM model, this loss of positive definiteness is associated with the loss of evolutionarity of the governing equations.
Again, this is just for definiteness and what we shall have to say generalizes to certain higher forms of definable determinacy.
For definiteness, in this article, we focus on protein signaling networks mediated by phosphorylation and provide a specific implementation of the general framework.
Due to this theoretical result, which has been established by Grewal and Glover [ 38], we can test local identifiability at a point in the model parameter space by testing the Hessian matrix (10) for positive definiteness at this point.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com