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Correction for McWilliams, There is no horizontal gravity force in geopotential coordinates. [PDF]

Proc Natl Acad Sci U S A
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Derivatives and Partial Derivatives for Regular Shuffle Expressions

Journal of Computer and System Sciences, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martin Sulzmann, Peter Thiemann
exaly   +5 more sources

The mixed conformable partial derivatives

Periodica Mathematica Hungarica, 2020
The paper introduces a modification of the so-called ``conformable derivative'' and applies it to functions of two variables. Like the conformable derivative itself, it is just a classical first derivative multiplied by a very simple factor that is independent of the function (this is evident, e.g. from Theorem 2.4), so it is really nothing more than a
Chang-Jian Zhao, Wing-Sum Cheung
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Estimates on Partial Derivatives and Logarithmic Partial Derivatives of Holomorphic Functions on Polydiscs and Beyond

The Journal of Geometric Analysis, 2020
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Li, Bao Qin, Yang, Liu
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Partial stabilities and partial derivations of -variable functions

Nonlinear Analysis: Theory, Methods & Applications, 2010
The 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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Construction of rankings on partial derivatives

ACM Communications in Computer Algebra, 2006
In differential algebra [1], rankings on partial derivatives play the same role as admissible term orders in the theory of Gröbner bases. In fact, an admissible term order is a particular case of a ranking on partial derivatives of a single differential indeterminate.
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