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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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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Partial ordering derivations for CCS

1985
In this paper we extend CCS transitions, labelled by strings, to concurrent histories, i.e. to transitions labelled by partial orderings. The two notions are linked by a theorem which shows that the strings can be obtained by taking a11 interleavings compatible with the partial orderings.
DEGANO, PIERPAOLO   +2 more
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Hedge Pattern Partial Derivative

2009
We propose hedge pattern partial derivatives, an extension of Antimirov's partial derivatives, in order to give an operational semantics of pattern matching of regular hedge expression patterns, which is crucial in XML processing. We show that correct and small matching automata can be constructed from hedge pattern partial derivatives.
Taro Suzuki, Satoshi Okui
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Partial derivatives of Bézier surfaces

Computer-Aided Design, 1996
In order to apply differential geometry to surfaces defined by splines, it is imperative to have an algorithm that yields the partial derivatives of the coordinates functions of the surface. The author shows that in the same way as Horner's scheme for the computation of function values can be modified to yield the derivatives with little extra ...
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Partial Derivatives and Partial Differentiation

1960
As mentioned in the Preface, this book is intended as a sequel to Differential Calculus, also published in this series. Throughout this book references to the earlier work will be cited as DC.
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Rankings of partial derivatives

Proceedings of the 1997 international symposium on Symbolic and algebraic computation - ISSAC '97, 1997
C. J. Rust, Gregory J. Reid
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Probabilistic representation of fundamental solutions to partial derivative u/partial derivative t = K-m partial derivative(m)u/partial derivative x(m)

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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