Results 11 to 20 of about 165,929 (259)
On the differentiation of a composite function with a generalized vector argument on homogeneous time scales; pp. 309–322 [PDF]
Proceedings of the Estonian Academy of Sciences, 2017 The paper proves a theorem on the differentiation of a composite function with a generalized vector argument. The theorem is formulated in terms of the delta derivative, which in the case of homogeneous time scales incorporates both the ordinary ...
Vadim Kaparin, Ülle Kotta
doaj +1 more source
Combinatorics of Partial Derivatives [PDF]
The Electronic Journal of Combinatorics, 2006 The natural forms of the Leibniz rule for the $k$th derivative of a product and of Faà di Bruno's formula for the $k$th derivative of a composition involve the differential operator $\partial^k/\partial x_1 \cdots \partial x_k$ rather than $d^k/dx^k$, with no assumptions about whether the variables $x_1,\dots,x_k$ are all distinct, or all identical, or
openaire +3 more sources
Karpatsʹkì Matematičnì Publìkacìï, 2017 We generalized some criteria of boundedness of $\mathbf{L}$-index in joint variables for analytic in a bidisc functions, where $\mathbf{L}(z)=(l_1(z_1,z_2),$ $l_{2}(z_1,z_2)),$ $l_j:\mathbb{D}^2\to \mathbb{R}_+$ is a continuous function, $j\in\{1,2\},$
A.I. Bandura, N.V. Petrechko
doaj +1 more source
The complexity of partial derivatives
Theoretical Computer Science, 1983 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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 +3 more
doaj +1 more source
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 +2 more
doaj +1 more source
Schur partial derivative operators
European Journal of Combinatorics, 2005 8 pages ...
Jean-Christophe Aval, Nantel Bergeron
openaire +3 more sources
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 +5 more
doaj +1 more source
A generalization of arithmetic derivative to p-adic fields and number fields [PDF]
Notes on Number Theory and Discrete MathematicsThe 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
doaj +1 more source