Results 51 to 60 of about 254,556 (238)
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
Lucas' theorem: its generalizations, extensions and applications (1878--2014) [PDF]
, 2014 In 1878 \'E. Lucas proved a remarkable result which provides a simple way to compute the binomial coefficient ${n\choose m}$ modulo a prime $p$ in terms of the binomial coefficients of the base-$p$ digits of $n$ and $m$: {\it If $p$ is a prime, $n=n_0 ...
Meštrović, Romeo
core
THE SQUARE TERMS IN GENERALIZED LUCAS SEQUENCES
Mathematika, 2013 Summary: Let \(P\) and \(Q\) be non-zero integers. The generalized Fibonacci sequence \(\{U_n\} \) and Lucas sequence \(\{V_n\}\) are defined by \(U_0 = 0\), \(U_1 = 1\) and \(U_{n+1} = PU_n + QU_{n-1}\) for \(n\geq 1\) and \(V_0 = 2\), \(V_1 = P\) and \(V_{n+1} = PV_n + QV_{n-1} \) for \(n\geq 1\), respectively.
Şiar, Zafer, Keskin, Refik
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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
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The Anatomical Record, EarlyView.Abstract Walruses have been an important subsistence and cultural resource for humans and have been exploited for millennia across their distribution. This exploitation has contributed to severe declines in several populations and local extirpations.
Katrien Dierickx +6 more
wiley +1 more source
Prime generating Lucas sequences
, 2011 The distribution of prime numbers in Lucas sequences was investigated by independently changing the initial values and the multiplicative constants in the recursive definition of the sequence. The prime distribution was obtained by counting the number of primes in the first 1000 terms of various Lucas sequences. It was found that both smaller seeds and
Liu, Paul, Estrin, Ron
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The Anatomical Record, EarlyView.Abstract Dicynodonts (Anomodontia: Dicynodontia) were one of the main groups of terrestrial tetrapods in Permian and Triassic faunas. In Brazil, the genus Dinodontosaurus is one of the most common tetrapod taxon in the Triassic Santa Maria Supersequence. This genus has a complex taxonomic history and is represented in the Triassic of both Argentina and
Julia Lara Rodrigues de Souza +5 more
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The Anatomical Record, EarlyView.Abstract The study of morphological evolution is fundamentally tied to ontogeny, yet studies of these heterochronic processes in the fossil record are rare. Fossils belonging to an ontogenetic series are difficult to assign to an ontogenetic stage due to inconsistent proxies for skeletal ages, challenging to taxonomically assign due to morphological ...
Erika R. Goldsmith, Michelle R. Stocker
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A trick around Fibonacci, Lucas and Chebyshev
, 2013 In this article, we present a trick around Fibonacci numbers which can be found in several magic books. It consists in computing quickly the sum of the successive terms of a Fibonacci-like sequence.
Lachal, Aimé
core +1 more source