Impact of Surgical Diaphragmatic Repair on Central Airway Shape in Neonatal Congenital Diaphragmatic Hernia. [PDF]
Pediatr PulmonolABSTRACT Rationale Neonates with congenital diaphragmatic hernia (CDH) frequently experience central airway abnormalities, including tracheobronchomalacia, which persist post‐surgical repair. However, these complications often remain underdiagnosed due to reliance on symptomatic evaluation and limited use of bronchoscopy.
Gunatilaka CC +8 more
europepmc +2 more sources
Partitions of numbers and the algebraic principle of Mersenne, Fermat and even perfect numbers [PDF]
Notes on Number Theory and Discrete MathematicsLet ρ be an odd prime greater than or equal to 11. In a previous work, starting from an M-cycle in a finite field 𝔽_ρ, it has been established how the divisors of Mersenne, Fermat and Lehmer numbers arise.
A. M. S. Ramasamy
doaj +1 more source
Mathematical methods in solutions of the problems from the Third International Students' Olympiad in Cryptography [PDF]
, 2017 The mathematical problems and their solutions of the Third International Students' Olympiad in Cryptography NSUCRYPTO'2016 are presented. We consider mathematical problems related to the construction of algebraic immune vectorial Boolean functions and ...
Agievich, S. +7 more
core +3 more sources
Genefer: Programs for Finding Large Probable Generalized Fermat Primes
Journal of Open Research Software, 2015 Genefer is a suite of programs for performing Probable Primality (PRP) tests of Generalised Fermat numbers 'b'2'n'+1 (GFNs) using a Fermat test. Optimised implementations are available for modern CPUs using single instruction, multiple data (SIMD ...
Iain Arthur Bethune, Yves Gallot
doaj +1 more source
On Smarandache's form of the individual Fermat-Euler theorem [PDF]
, 1997 In the paper it is shown how a form of the classical FERMAT-EULER Theorem discovered by F. SMARANDACHE fits into the generalizations found by S.SCHWARZ, M.LASSAK and the author.
Porubsky, Stefan
core +1 more source
RSA algorithm using key generator ESRKGS to encrypt chat messages with TCP/IP protocol
Jurnal Teknologi dan Sistem Komputer, 2020 This study aims to analyze the performance and security of the RSA algorithm in combination with the key generation method of enhanced and secured RSA key generation scheme (ESRKGS).
Aminudin Aminudin +2 more
doaj +1 more source
Fermat, Leibniz, Euler, and the gang: The true history of the concepts of limit and shadow [PDF]
, 2014 Fermat, Leibniz, Euler, and Cauchy all used one or another form of approximate equality, or the idea of discarding "negligible" terms, so as to obtain a correct analytic answer.
David Sherry +10 more
core +3 more sources
Entire solutions of two certain Fermat-type ordinary differential equations
Open Mathematics, 2023 In this article, we investigate the precise expression forms of entire solutions for two certain Fermat-type ordinary differential equations: (a0f+a1f′)2+(a0f+a2f′)2=p{\left({a}_{0}f+{a}_{1}{f}^{^{\prime} })}^{2}+{\left({a}_{0}f+{a}_{2}{f}^{^{\prime} })}^
Hu Binbin, Yang Liu
doaj +1 more source
Mersenne and Fermat Numbers [PDF]
Proceedings of the American Mathematical Society, 1954 The first seventeen even perfect numbers are therefore obtained by substituting these values of n in the expression 2 n-(2n -1). The first twelve of the Mersenne primes have been known since 1914; the twelfth, 21271, was indeed found by Lucas as early as 1876, and for the next seventy-five years was the largest known prime.
openaire +2 more sources
On the multiplicative order of elements in Wiedemann's towers of finite fields
Karpatsʹkì Matematičnì Publìkacìï, 2015 We consider recursive binary finite field extensions $E_{i+1} =E_{i} (x_{i+1} )$, $i\ge -1$, defined by D. Wiedemann. The main object of the paper is to give some proper divisors of the Fermat numbers $N_{i} $ that are not equal to the multiplicative ...
R. Popovych
doaj +1 more source