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pro vyhledávání: '"Kacha, A"'
In the present paper and as an application of Roth's theorem concerning the rational approximation of algebraic numbers, we give a sufficient condition that will assure us that a sum, product and quotient of some series of positive rational terms are
Externí odkaz:
http://arxiv.org/abs/2405.12423
Autor:
Jacob C. Spitznagle, Akadia Kacha-Ochana, Joan M. Cook-Mills, Gabrielle A. Morgan, Lauren M. Pachman
Publikováno v:
Pediatric Rheumatology Online Journal, Vol 22, Iss 1, Pp 1-6 (2024)
Abstract Background Juvenile dermatomyositis (JDM) is a systemic vasculopathy associated with metabolic derangements and possible increased risk for premature atherosclerosis. Oxidation of low-density lipoprotein (LDL) in the endothelium is an early
Externí odkaz:
https://doaj.org/article/986ecb24e1a24bf6b775cd8a8f13fe5b
In the present paper and as an application of Roth's theorem concerning the rational approximation of algebraic numbers, we give a sufficient condition that will assure us that a series of positive rational terms is a transcendental number. With the
Externí odkaz:
http://arxiv.org/abs/2301.06495
Autor:
Ahallal, Sarra, Kacha, Ali
Publikováno v:
Communications in Mathematics, Volume 30 (2022), Issue 1 (December 27, 2022) cm:10519
In the present paper, we give sufficient conditions on the elements of the continued fractions $A$ and $B$ that will assure us that the continued fraction $A^B$ is a transcendental number. With the same condition, we establish a transcendental measur
Externí odkaz:
http://arxiv.org/abs/2212.08970
Publikováno v:
Communications in Mathematics, Volume 31 (2023), Issue 1 (December 27, 2022) cm:10395
In this paper we recall some results and some criteria on the convergence of matrix continued fractions. The aim of this paper is to give some properties and results of continued fractions with matrix arguments. Then we give continued fraction expans
Externí odkaz:
http://arxiv.org/abs/2211.16453
Autor:
Abrar Senhaji-Kacha, Mireia Bernabéu-Gimeno, Pilar Domingo-Calap, John Jairo Aguilera-Correa, Mateo Seoane-Blanco, Sara Otaegi-Ugartemendia, Mark J. van Raaij, Jaime Esteban, Meritxell García-Quintanilla
Publikováno v:
Frontiers in Cellular and Infection Microbiology, Vol 14 (2024)
The increase of antibiotic-resistant bacteria has become a global health emergency and the need to explore alternative therapeutic options arises. Phage therapy uses bacteriophages to target specific bacterial strains. Phages are highly specific and
Externí odkaz:
https://doaj.org/article/8c11897a0c9c42599b584b763b015bb2
Autor:
Spitznagle, Jacob C.1,2 (AUTHOR) jspitznagle@chla.usc.edu, Kacha-Ochana, Akadia3 (AUTHOR), Cook-Mills, Joan M.4 (AUTHOR), Morgan, Gabrielle A.3 (AUTHOR), Pachman, Lauren M.3,5 (AUTHOR) pachman@northwestern.edu
Publikováno v:
Pediatric Rheumatology. 8/8/2024, Vol. 22 Issue 1, p1-6. 6p.
The direct calculation of the Generalized operator entropy proves difficult by the appearance of rational exponents of matrices. The main motivation of this work is to overcome these difficulties and to present a practical and efficient method for th
Externí odkaz:
http://arxiv.org/abs/2210.07419
Autor:
Ali Kacha, Sarra Ahallal
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 42 (2024)
In the present paper, we prove the algebraic independence of a finite number of real continued fractions which have partial quotients that increase rapidly. We then use a general Liouville criteria to justiy the algebraic independence of limits of so
Externí odkaz:
https://doaj.org/article/ce4670e6c9c24b40a25c55a386b898c5
Autor:
Samaddar, Ayan, Kacha, Dani, Kaviraj, Anilava, Freed, Sarah, Panemangalore, Arun Padiyar, Saha, Subrata
Publikováno v:
In Aquaculture 30 January 2025 595 Part 1