Results 21 to 30 of about 1,848,450 (268)

The complexity of partial derivatives

Theoretical Computer Science, 1983
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Walter Baur, Volker Strassen
openaire   +3 more sources

Theorem on the differentiation of a composite function with a vector argument; pp. 195–200 [PDF]

Proceedings of the Estonian Academy of Sciences, 2010
The paper provides a theorem on the differentiation of a composite function with a vector argument. The theorem shows how the partial derivative of the total derivative of the composite function can be expressed through the total derivative of the ...
Vadim Kaparin, Ülle Kotta
doaj   +1 more source

On Landau-Kolmogorov type inequalities for charges and their applications

Researches in Mathematics, 2023
In this article we prove sharp Landau-Kolmogorov type inequalities on a class of charges defined on Lebesgue measurable subsets of a cone in $\mathbb{R}^d$, $d\geqslant 1$, that are absolutely continuous with respect to the Lebesgue measure.
V.F. Babenko, V.V. Babenko, O.V. Kovalenko, N.V. Parfinovych   +3 more
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Comparison of third-order fractional partial differential equation based on the fractional operators using the explicit finite difference method

Alexandria Engineering Journal, 2023
In this research paper, the third-order fractional partial differential equation (FPDE) in the sense of the Caputo fractional derivative and the Atangana-Baleanu Caputo (ABC) fractional derivative is investigated for the first time. The importance of the
Shorish Omer Abdulla, Sadeq Taha Abdulazeez, Mahmut Modanli   +2 more
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A generalization of arithmetic derivative to p-adic fields and number fields [PDF]

Notes on Number Theory and Discrete Mathematics
The arithmetic derivative is a function from the natural numbers to itself that sends all prime numbers to 1 and satisfies the Leibniz rule. The arithmetic partial derivative with respect to a prime p is the p-th component of the arithmetic derivative ...
Brad Emmons, Xiao Xiao
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Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method

International Journal of Differential Equations, 2021
In this paper, a novel analytical method for solving nonlinear partial differential equations is studied. This method is known as triple Laplace transform decomposition method. This method is generalized in the sense of conformable derivative.
Shailesh A. Bhanotar, Mohammed K. A. Kaabar   +1 more
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Virtual Constant Signal Injection-Based MTPA Control for IPMSM Considering Partial Derivative Term of Motor Inductance Parameters

World Electric Vehicle Journal, 2022
The dq-axis inductance parameter value of the Internal Permanent Magnet Synchronous Motor (IPMSM) will change with the dq-axis current. The Virtual Constant Signal Injection Method (VCSIM)-based Maximum Torque Per Ampere (MTPA) control ignores the ...
Qiang Miao, Qiang Li, Yamei Xu, Zhichen Lin, Wei Chen, Xinmin Li   +5 more
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Pattern avoidance in partial permutations [PDF]

, 2011
Motivated by the concept of partial words, we introduce an analogous concept of partial permutations. A partial permutation of length n with k holes is a sequence of symbols $\pi = \pi_1\pi_2 ...
Claesson, A., Jelinkova, E., Jelinek, V., Kitaev, S.   +3 more
core   +4 more sources

Solving Parabolic Partial Delay Differential Equations Using The Explicit Method And Higher Order Differences

Journal of Kufa for Mathematics and Computer, 2013
In this paper we use the higher order differences for second order (derivative)  in solving  parabolic partial delay differential equations by using the explicit method and we get results are more closer to the exact values than the results which can ...
Amal Khalaf Haydar
doaj   +1 more source

NUMERICAL MODELING OF HYDRODYNAMIC PROCESSES IN AQUIFERS

Современная наука и инновации, 2022
The article deals with development of a mathematical model of hydrodynamic processes in aquifers. The mathematical model of the object is represented as a system of differential equations in partial derivatives that can be solved by the explicit scheme ...
Maxim Alexandrovich Sixtus
doaj