Results 221 to 230 of about 85,264 (264)

Evolutionary persistence of a highly prevalent multicopy mitochondrial-derived nuclear insertion (Mega-NUMT) in Neotropical Drosophila flies

Montoliu-Nerin M, Strunov A, Heyworth E, Schneider DI, Thoma J, Hua-Van A, Courret C, Klasson L, Miller WJ.   +8 more
europepmc   +1 more source

Equal Shoulders, Equal Scalpel: Women in Orthopaedics Residency. [PDF]

J Orthop Case Rep
Or JWR, Shyam A.
europepmc   +1 more source

Natural selection acting on the genetics of host response to commensal bacteria

Duflos R, Rabanal FA, Zamar R, Lion R, Ramirez-Sanchez D, Montalvao AL, Fritschi K, Habring A, Betz N, Bergelson J, Weigel D, Vailleau F, Roux F.   +12 more
europepmc   +1 more source

Cluster minimal sufficient balance (CMSB): an efficient covariate balancing randomization method for cluster randomized trials. [PDF]

BMC Med Res Methodol
Cai J, Suo S, Ndip V, Khairallah C, Zhang B, Zeng L, Yan H, Shao F, Chen T, Li C.   +9 more
europepmc   +1 more source

Weathering the Storm. [PDF]

Arthroplast Today
europepmc   +1 more source

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Balancing Numbers as Sum of Same Power of Consecutive Balancing Numbers

Vietnam Journal of Mathematics, 2022
The sequence of balancing numbers \( \{B_n\}_{n\ge 0} \) is defined by the binary recurrence \( B_0=0 \), \( B_1=1 \), and \( B_{n+!}=6B_n-B_{n-1} \) for all \( n\ge 1 \). In the paper under review, the authors study the Diophantine equation \[ B_n^{x}+B_{n+1}^{x}+\cdots +B_{n+k-1}^{x}=B_m,\tag{1} \] in positive integers \( (m,n,k,x) \).
Souleymane Nansoko, Euloge Tchammou, Alain Togbé   +2 more
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On $(a,b)$-balancing numbers

Publicationes Mathematicae Debrecen, 2010
A positive integer \(n\) is a balancing number if \(1 +\dots + (n - 1) = (n + 1) + \dots + (n + r)\) holds with some positive integer \(r\). The problem of finding balancing numbers goes back to the work of \textit{R. Finkelstein} [Am.\ Math.\ Mon.\ 72, 1082--1088 (1965; Zbl 0151.03305)].
Kovács, Tünde, Liptai, Kálmán, Olajos, Péter   +2 more
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Periodicity of Balancing Numbers

Acta Mathematica Hungarica, 2014
The balancing numbers originally introduced by \textit{A. Behera} and \textit{G. K. Panda} [Fibonacci Q. 37, No. 2, 98--105 (1999; Zbl 0962.11014)] as solutions of a Diophantine equation on triangular numbers possess many interesting properties. Many of these properties are comparable to certain properties of Fibonacci numbers, while some others are ...
Panda, G. K., Rout, S. S.
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$$k$$ k -Gap balancing numbers

Periodica Mathematica Hungarica, 2015
A natural number \(n\) is called a balancing number with balancer \(r\) if \[ 1 + 2 + \ldots + (n - 1) = (n + 1) + (n + 2) + \ldots + (n + r). \] On other hand \(n\) is called a cobalancing number with cobalancer \(r\) if \[ 1 + 2 + \ldots + n = (n + 1) + (n + 2) + \ldots + (n + r). \] Several papers in this area are presently available.
Sudhansu Sekhar Rout, Gopal Krishna Panda   +1 more
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