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Enhanced Inhibition of <i>Trametes versicolor</i> by Structurally Modified Medicarpin: In Vitro Evaluation and In Silico Insights into Laccase Binding. [PDF]
Guevara-Martínez SJ +7 more
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Antagonistic effects of amino acids support abiotic nano-environments in clay. [PDF]
Bezaly OR, King HE, Petrignani A.
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Machine learning and near-infrared fusion-driven quantitative characterization and detection of protein content in maize kernels. [PDF]
Yu Y, Qiao Y, Fan C, Dong M, Cao K.
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Targeted elimination of Staphylococcus aureus mastitis infections with synthetic phage-based CRISPR-Cas delivery systems. [PDF]
Garmendia-Antoñana N +7 more
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Partial Derivatives and Applications
2021This chapter collects problems on partial derivatives and their applications, the Jacobian and the Hessian matrices, differential operators, the chain rule, homogeneous functions and Euler’s identity, Taylor’s formula for functions of two variables, as well as extrema of functions of several variables.
Alina Sîntămărian, Ovidiu Furdui
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2012
For the fundamental solutions of heat-type equations of order n we give a general stochastic representation in terms of damped oscillations with generalized gamma distributed parameters. By composing the pseudo-process X-m related to the higher-order heat-type equation with positively skewed stable r.v.'s T-1/3(j), j = 1, 2, . . . , n we obtain genuine
ORSINGHER, Enzo, D'OVIDIO, MIRKO
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For the fundamental solutions of heat-type equations of order n we give a general stochastic representation in terms of damped oscillations with generalized gamma distributed parameters. By composing the pseudo-process X-m related to the higher-order heat-type equation with positively skewed stable r.v.'s T-1/3(j), j = 1, 2, . . . , n we obtain genuine
ORSINGHER, Enzo, D'OVIDIO, MIRKO
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Partial stabilities and partial derivations of -variable functions
Nonlinear Analysis: Theory, Methods & Applications, 2010The authors introduce the notion of the partial derivations of an \(n\)-variable function from a normed algebra \({\mathcal{A}}_1 \times {\mathcal{A}}_1 \times \cdots \times {\mathcal{A}}_n\) into a Banach algebra \({\mathcal{B}}\). Using this notion, they prove the Hyers-Ulam-Rassias stability for the partial derivations.
Chu H.-Y., Ku S.-H., Park J.-S.
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Partial Derivatives. Applications
1985A function f is a mapping which takes each element of the domain D into an element of the range S. We write f: D → S. If the domain D consists of ordered pairs of numbers, then we have a function on R e or a function of two variables.
Murray H. Protter, Charles B. Morrey
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Thermodynamic partial derivatives
The Journal of Chemical Physics, 1981A systematic method for computing thermodynamic partial derivatives is described. (AIP)
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