Results 101 to 110 of about 1,343,954 (317)

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis   +2 more
wiley   +1 more source

Geometry and Geodesy on the Primary Visual Cortex as a Surface of Revolution

open access: yesMathematical and Computational Applications, 2020
Biological mapping of the visual field from the eye retina to the primary visual cortex, also known as occipital area V1, is central to vision and eye movement phenomena and research.
Lorenzo G. Resca, Nicholas A. Mecholsky
doaj   +1 more source

Cross-modality mapping using image varifolds to align tissue-scale atlases to molecular-scale measures with application to 2D brain sections

open access: yesNature Communications
This paper explicates a solution to building correspondences between molecular-scale transcriptomics and tissue-scale atlases. This problem arises in atlas construction and cross-specimen/technology alignment where specimens per emerging technology ...
Kaitlin M. Stouffer   +11 more
semanticscholar   +1 more source

On Geometric Phase Model in the Theory of Curves With Myller Configuration

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir   +2 more
wiley   +1 more source

Manufacturability‐Aware Multi‐Objective Screening of Filament‐Wound Type IV Pressure‐Vessel Cylindrical Sections Using Dual‐Pressure Hashin Constraints

open access: yesPolymer Composites, EarlyView.
Manufacturability‐aware multi‐objective screening of Type IV filament‐wound composite pressure‐vessel cylindrical sections toward lightweight and high‐strength designs. ABSTRACT A manufacturability‐aware preliminary screening framework is proposed for the straight cylindrical section of filament‐wound Type IV composite pressure vessels.
Önder Albayrak, Ahmet Çalık
wiley   +1 more source

Teichmüller Theory of Bordered Surfaces

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2007
We propose the graph description of Teichmüller theory of surfaces with marked points on boundary components (bordered surfaces). Introducing new parameters, we formulate this theory in terms of hyperbolic geometry.
Leonid O. Chekhov
doaj  

Resolvents for Convex Functions on Geodesic Spaces and Their Nonspreadingness

open access: yesAxioms
The convex optimization problems have been considered by many researchers on geodesic spaces. In these problems, the resolvent operators play an important role.
Takuto Kajimura   +2 more
doaj   +1 more source

Main‐chain polyfullerenes: Taking fullerene to the next dimension

open access: yesPolymer International, EarlyView.
This short review appraises main‐chain polyfullerenes. Their slow development over 30 years has suddenly boomed with a rapid growth due to exciting developments in solar energy. Abstract This mini‐review gives an overview of the development, chemistry, properties and applications of main‐chain polyfullerenes.
Marco Antônio GB Gomes   +4 more
wiley   +1 more source

Capturing the Multi‐Decadal Evolution of Glacier–Permafrost Interactions in a High‐Alpine Environment (Ritord, Western Swiss Alps)

open access: yesPermafrost and Periglacial Processes, EarlyView.
ABSTRACT This study investigates the multi‐decadal evolution of a glacier forefield under permafrost conditions in the Combins Massif (western Swiss Alps). A multi‐method approach based on historical and recent datasets is used to analyze its landform components.
Julie Wee   +2 more
wiley   +1 more source

An Alternative Non-Traditional Approach to Learning: The Metacognitive-Mapping Approach

open access: yesSouth African Journal of Communication Disorders, 1998
The current article is a continuation of a previous article (Leaf, Uys Louw 1997) suggesting that alternatives to the current traditional perceptions of learning and therapeutic methods are essential if learning institutions are to enable learners to ...
Caroline M. Leaf   +2 more
doaj   +1 more source

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