Results 21 to 30 of about 176,132 (261)
New proof and generalization of some results on translated sums over k-almost primes
Comptes Rendus. MathématiqueA sequence $\mathcal{A}$ of strictly positive integers is said to be primitive if none of its terms divides the others, Erdős conjectured that the sum $f(\mathcal{A},0)\le f(\mathbb{N}_{1},0),$ where $\mathbb{N}_{1}$ is the sequence of prime numbers and $
Laib, Ilias
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Axioms, 2022 The paper presents an analytical solution of a partial differential equation of hyperbolic-type, containing both second-order partial derivatives and fractional derivatives of order below the second.
Ludmila Vladimirovna Kirianova
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On the representation of the Radon-Kipriyanov transform by the Riesz potential
Современная математика: Фундаментальные направленияIn this paper, a representation of the Radon-Kipriyanov transform by the classical Riesz potential is obtained. Based on the application of the Radon-Kipriyanov transform to a singular partial differential operator, a formula for transformation of a ...
L. N. Lyakhov +2 more
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Gas–liquid chromatography of hyocholic acid
Journal of Lipid Research, 1971 Partial derivatives of hyocholic acid were formed under the usual conditions for trifluoroacetylation of bile acids (trifluoroacetic anhydride, 35°C for 20 min).
Glen E. Mott +2 more
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Partial Derivative Estimation for Underlying Functional-Valued Process in a Unified Framework
Journal of Applied Mathematics, 2020 We consider functional data analysis when the observations at each location are functional rather than scalar. When the dynamic of underlying functional-valued process at each location is of interest, it is desirable to recover partial derivatives of a ...
Yunbei Ma, Fanyin Zhou, Xuan Luo
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A New Approach for Generalized Partial Derivatives of Non-smooth Functions
Walailak Journal of Science and Technology, 2014 In this paper, we define the functional optimization problems corresponding to multi-variable smooth functions, so that their optimal solutions are partial derivatives of these functions.
Hamid Reza ERFANIAN +2 more
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Derivative Formulas and Gradient of Functions with Non-Independent Variables
Axioms, 2023 Stochastic characterizations of functions subject to constraints result in treating them as functions with non-independent variables. By using the distribution function or copula of the input variables that comply with such constraints, we derive two ...
Matieyendou Lamboni
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Fertility preservation (FP) is increasingly integrated into the care of pediatric patients exposed to gonadotoxic therapy or conditioning for hematopoietic stem cell transplantation (HSCT), yet perioperative data in infants and toddlers remain scarce.
Kerstin Saalabian +13 more
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Solutions of boundary value problems for loaded hyperbolic type equations
Қарағанды университетінің хабаршысы. Математика сериясыThis paper investigates a class of second-order partial differential equations describing wave processes with nonlocal effects, including cases involving fractional derivatives.
N.T. Orumbayeva +3 more
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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
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