Results 101 to 110 of about 255,828 (280)
On the independent subsets of powers of paths and cycles
, 2012 In the first part of this work we provide a formula for the number of edges of the Hasse diagram of the independent subsets of the h-th power of a path ordered by inclusion. For h=1 such a value is the number of edges of a Fibonacci cube.
Codara, Pietro, D'Antona, Ottavio M.
core
Radical Cascade Combining Cross‐Olefin Coupling with the Smiles‐Truce Rearrangement
Angewandte Chemie International Edition, EarlyView.We present a cobalt‐catalysed radical cascade that efficiently merges two alkene starting materials to form multiple bonds in a single step. The process begins with a cobalt‐catalysed hydrogen‐atom transfer‐to a styrene double bond, followed by a Giese addition.
Jingyang Qin +3 more
wiley +1 more source
Weighted sum of the sixth powers of Horadam numbers [PDF]
Notes on Number Theory and Discrete MathematicsOhtsuka and Nakamura found simple formulas for Σⁿⱼ₌₁Fⱼ⁶ and Σⁿⱼ₌₁Lⱼ⁶, where Fₖ and Lₖ are the k-th Fibonacci and Lucas numbers, respectively. In this note we extend their results to a general second order sequence by deriving a formula for Σⁿⱼ₌₁(-1/q³ ...
Kunle Adegoke +2 more
doaj +1 more source
A coalition formation value for games with externalities [PDF]
The coalition formation problem in an economy with externalities can be adequately modeled by using games in partition function form (PFF games), proposed by Thrall and Lucas.
Michel Grabisch, Yukihiko Funaki
core
Journal of Number Theory, 2007 Let P and Q be non-zero integers. The Lucas sequence U_n(P,Q) is defined by U_0=0, U_1=1, U_n= P*U_{n-1}-Q*U_{n-2} for n >1. The question of when U_n(P,Q) can be a perfect square has generated interest in the literature. We show that for n=2,...,7, U_n is a square for infinitely many pairs (P,Q) with gcd(P,Q)=1; further, for n=8,...,12, the only non-
Bremner, A., Tzanakis, N.
openaire +3 more sources
The Anatomical Record, EarlyView.Abstract The complex evolutionary history behind modern mammalian chewing performance and hearing function is a result of several changes in the entire skeletomuscular system of the skull and lower jaw. Lately, exciting multifunctional 3D analytical methods and kinematic simulations of feeding functions in both modern and fossil mammals and their ...
Julia A. Schultz
wiley +1 more source
The Anatomical Record, EarlyView.Abstract With the development of dental microwear texture analysis (DMTA), there has been an increasing application of DMTA for dietary estimation in extant and fossil reptiles, including dinosaurs. While numerous feeding experiments exist for herbivorous mammals, knowledge remains limited for carnivorous reptiles. This study aimed to qualitatively and
K. Usami, M. O. Kubo
wiley +1 more source
The Anatomical Record, EarlyView.Abstract A subadult Moschognathus whaitsi from the Eastern Cape Province, South Africa, was scanned using synchrotron radiation X‐ray computed tomography (SRXCT). Its subadult state allowed the cranial bones and teeth to be identified and individually reconstructed in 3D.
Tristen Lafferty +3 more
wiley +1 more source
Exploring Generalized $2^k$-Fibonacci Sequence: A New Family of the Fibonacci Sequence
Communications in Advanced Mathematical SciencesThe focus of this paper is to study the $2^k$–Fibonacci sequence, which is defined for all integers $2^k$, and its connections with both the Fibonacci and the Fibonacci-Lucas sequences.
Elis Gardel Costa Mesquista +2 more
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, 1998 The Lucas sequence is defined by: L0=2,L1=1,Ln=Ln−1+Ln−2 for n≥2. Let V(n), r(n) denote respectively the number of partitions of n into parts, distinct parts from {Ln}. We develop formulas that facilitate the computation of V(n) and r(n).
Neville Robbins
doaj +1 more source