Results 41 to 50 of about 11,708 (232)

On the structure and generalization of bihyperbolic Leonardo sequences

Boletim da Sociedade Paranaense de Matemática
In this paper, we give some properties of the bihyperbolic Leonardo numbers, among others the Binet formula, generating function formula and the general bilinear index-reduction formula which implies d'Ocagne, Vajda, Halton, Catalan, and Cassini identities.
Hasan Gökbaş, Anetta Szynal-Liana
openaire   +1 more source

An unusual titanosaur axis from the Upper Cretaceous of Brazil and its significance for sauropod anatomy and systematics

The Anatomical Record, EarlyView.
Abstract The Upper Cretaceous São José do Rio Preto Formation (Bauru Group, southeastern Brazil) has yielded a fragmentary but taxonomically diverse record of titanosaur sauropods, although elements from cervical series remain scarce. Here, we describe a nearly complete sauropod axis from the Vila Ventura Paleontological Area, representing an uncommon ...
Bruno A. Navarro, Jeffrey A. Wilson Mantilla, Jhonata H. A. Martins, Fabiano V. Iori, Leonardo S. Paschoa, Alberto B. Carvalho, Joseli M. Piranha, Hussam Zaher   +7 more
wiley   +1 more source

A Note on Hyper-Dual Numbers with the Leonardo-Alwyn Sequence

Turkish Journal of Mathematics and Computer Science
We are interested in identifying hyper-dual numbers with the Leonardo-Alwyn sequence components. We investigate their homogeneous and non-homogeneous recurrence relations, the Binet’s formula, and the generating function. With these algebraic properties, we are able to obtain some special cases of hyper-dual numbers with the Leonardo-Alwyn sequence ...
Gülsüm Yeliz Saçlı, Salim Yüce
openaire   +3 more sources

Paleopathology of a putative colossosaurian caudal vertebra (Neosauropoda: Titanosauria) from the Presidente Prudente Formation, Brazil

The Anatomical Record, EarlyView.
Abstract Studies investigating paleopathologies in sauropods remain scarce despite their relative abundance in the fossil record. In this study we report new occurrence of paleopathological features, corresponding to a neoplasm found in a middle caudal vertebra (MCT.R.2120) of an advanced titanosaur from the Presidente Prudente Formation (Bauru Basin ...
Maria Luiza Peres Bertolossi, Kamila L. N. Bandeira, Roberta Veronese do Amaral, Arthur S. Brum, Rafael C. da Silva, Valéria Gallo   +5 more
wiley   +1 more source

Evolutionary radiation of large‐bodied gorgonopsians from the lower Abrahamskraal formation of South Africa

The Anatomical Record, EarlyView.
Abstract The middle Permian represents a critical interval in therapsid evolution, when gorgonopsians emerged as some of the first specialized apex predators within terrestrial ecosystems. Despite their significance, the early diversification of Gorgonopsia in Gondwana remains poorly understood due to scarcity and fragmentary material.
Zanildo Macungo, Ricardo Araújo, Bruce S. Rubidge, Michael O. Day, Kathleen N. Dollman, Julien Benoit   +5 more
wiley   +1 more source

Widespread distribution of large silesaurids evidenced by a new record from the Middle Triassic of southwest Gondwana

The Anatomical Record, EarlyView.
The largest silesaurid known from South America is described here, demonstrating that silesaurids reached large body sizes in southwestern Gondwana. This discovery further underscores the widespread geographic distribution and temporal persistence of large silesaurids across Pangea, despite faunal turnovers and environmental events such as the Carnian ...
Rodrigo Temp Müller
wiley   +1 more source

Determinants of Toeplitz–Hessenberg Matrices with Generalized Leonardo Number Entries

Annales Mathematicae Silesianae
Let un = un(k) denote the generalized Leonardo number defined recursively by un = un−1 + un−2 + k for n ≥ 2, where u0 = u1 = 1. Terms of the sequence un(1) are referred to simply as Leonardo numbers.
Goy Taras, Shattuck Mark
doaj   +1 more source

Postcranial anatomy and osteohistology of an early prozostrodont cynodont from the Upper Triassic of Brazil

The Anatomical Record, EarlyView.
Abstract Prozostrodon brasiliensis, a probainognathian cynodont of the clade Prozostrodontia, is recognized as a key taxon for understanding the origin of Mammaliaformes and mammals. Despite detailed investigations of its cranial anatomy, the postcranial skeleton has received comparatively less attention.
Iasmim M. Michelotti, Lívia Roese‐Miron, Brodsky Dantas Macedo Farias, Marina Bento Soares, Leonardo Kerber   +4 more
wiley   +1 more source

Photovoltaic Assemblies for the Power Generation of the Exomars Missions

E3S Web of Conferences, 2017
This paper provides a detailed description of the Photovoltaic Assembly (PVA) and, in particular, how the extreme environmental and operative requirements of the Exomars missions are met. “Exomars” is a program established by the European Space Agency to
Ferrando Emanuele, Zanella Pietro, Riva Stefano, Damonte Giulia, Romani Romano, Ferrante Luigi   +5 more
doaj   +1 more source

New fossil unveils the dentary anatomy of the rare lepidosauromorph Cargninia enigmatica from the Upper Triassic of Southern Brazil

The Anatomical Record, EarlyView.
Abstract Nowadays, Lepidosauria is a diverse group represented by squamates and the rhynchocephalian tuatara. However, their origins date back to the end of the Permian Period, when the stem lineages Lepidosauromorpha and Archosauromorpha diverged. Within the lepidosauromorph stem lineage, a few species have been described with unstable phylogenetic ...
Lísie Vitória Soares Damke, Vitória Zanchett Dalle‐Laste, Leonardo Kerber, Lúcio Roberto‐da‐Silva, Rodrigo Temp Müller   +4 more
wiley   +1 more source