Results 151 to 160 of about 1,591,753 (376)
This paper deals with various topics in analysis on hyperbolic spaces. It surveys some recent progress in non-Euclidean Fourier Analysis and proves some new results for the geodesic Radon transform on hyperbolic spaces.
arxiv
The analog of the Schauder inequality for closed surfaces in Euclidean spaces [PDF]
The analog of the Schauder inequality for closed surfaces in Euclidean spaces is obtained in this article.
arxiv
Differential geometry of an $m$-dimensional manifold in a Euclidean space of $n$ dimensions [PDF]
Charles E. Wilder
openalex +1 more source
Variability of jaw muscles in Tunisian street dogs and adaptation to skull shape
Abstract The impact of artificial selection on the masticatory apparatus of dogs has been poorly studied, and comparative data with dogs subjected to more natural constraints are lacking. This study explores the jaw musculature of Tunisian street dogs, which are largely free from the influence of breed‐specific selection.
Colline Brassard+3 more
wiley +1 more source
Early life functional transitions impact craniofacial morphology in osteogenesis imperfecta
Abstract Early life behaviors have a profound role in shaping adult craniofacial morphology. During early life, all mammals undergo the dynamic transition from suckling to mastication, a period coinciding with rapid cranial biomineralization. Osteogenesis imperfecta (OI), a genetic disorder that impacts the production of type I collagen, disrupts ...
Courtney A. Miller+2 more
wiley +1 more source
Semi-Helices of Euclidean Spaces [PDF]
We introduce semi-helix hyper surfaces of Euclidean spaces. We also provide a local characterization of how these semi-helices are constructed.
arxiv
Abstract Measurement error (ME) in geometric morphometrics has been the subject of countless articles, but none specific to the effect of time lags on landmark digitization error. Yet, especially for visiting scientists working on museum collections, it is not uncommon to collect data in multiple rounds, with interruptions of weeks or years. To explore
Andrea Cardini
wiley +1 more source
La aplicación física de la geometría astral como confirmación de la teoría kantiana del conocimiento
The appearance of the non-Euclidean or astral geometries seemed to contradict the philosophy of the Kant´s mathematics. He had considered the possibility of a supreme geometry, but he discarded it due to it was not synthetically related with the ...
Juan Cano de Pablo
doaj
Isoperimetric inequality for non-Euclidean polygons [PDF]
It is a classical fact in Euclidean geometry that the regular polygon maximizes area amongst polygons of the same perimeter and number of sides, and the analogue of this in non-Euclidean geometries has long been a folklore result. In this note, we present a complete proof of this polygonal isoperimetric inequality in hyperbolic and spherical geometries.
arxiv
Whole‐bone shape of hominoid manual proximal phalanges
Abstract Functional morphologists have long noted that skeletal adaptations in primate phalanges reflect locomotor behavior. While most studies have successfully used two‐dimensional measurements to quantify general features of phalanx shape, a whole‐bone three‐dimensional analysis may better capture more subtle aspects of phalanx morphology that have ...
Deanna M. Goldstein+7 more
wiley +1 more source