Results 11 to 20 of about 95,377 (221)

Mathematical modeling and topological graph description of dominating David derived networks based on edge partitions

Scientific Reports, 2023
Chemical graph theory is a well-established discipline within chemistry that employs discrete mathematics to represent the physical and biological characteristics of chemical substances.
Shahid Zaman, W. Ahmed, Atash Sakeena, K. Rasool, M. A. Ashebo   +4 more
semanticscholar   +1 more source

Surface Bundles in Topology, Algebraic Geometry, and Group Theory

, 2020
Surface Bundles A surface is one of the most basic objects in topology, but themathematics of surfaces spills out far beyond its source, penetrating deeply into fields as diverse as algebraic geometry, complex analysis, dynamics, hyperbolic geometry ...
Nick Salter, Bena Tshishiku
semanticscholar   +1 more source

TOPOLOGY ON COHOMOLOGY OF LOCAL FIELDS [PDF]

Forum of Mathematics, Sigma, 2014
Arithmetic duality theorems over a local field $k$ are delicate to prove if $\text{char}\,k>0$. In this case, the proofs often exploit topologies carried by the cohomology groups $H^{n}(k,G)$ for commutative finite type $k$-group schemes $G$. These ‘Čech
Kęstutis Česnavičius
semanticscholar   +1 more source

An outlined tour of geometry and topology as perceived through physics and mathematics emphasizing geometrization, elliptization, uniformization, and projectivization for Thruston's 8-geometries covering Riemann over Teichmuller spaces

, 2022
<p>Equivalence, duality, and invariance are the pin-points of unification in modern theoretical physics that got the twist of topologies when going beyond the notions of differential and conformal domains to geometries to the symplectic norm of topologies with the pillars being the algebraic geometry taking the counting of specified states ...
openaire   +1 more source

Deficits of the “Good” Eye in Amblyopia: Processing Geometric Properties

Investigative Ophthalmology and Visual Science
Purpose Although fellow eyes of amblyopia are typically considered normal, recent studies have revealed impairments in certain aspects of vision. However, it remains unclear at which level of object processing these impairments occur.
Minjuan Zhu, Jianhui Liang, Wenbo Wang, Hongwei Deng, Yan Huang   +4 more
semanticscholar   +1 more source

Multimodal Mechanical Testing of Additively Manufactured Ti6Al4V Lattice Structures: Compression, Bending, and Fatigue

Advanced Engineering Materials, EarlyView.
In this experimental study, the mechanical properties of additively manufactured Ti‐6Al‐4V lattice structures of different geometries are characterized using compression, four point bending and fatigue testing. While TPMS designs show superior fatigue resistance, SplitP and Honeycomb lattice structures combine high stiffness and strength. The resulting
Klaus Burkart, Jonas Schmidt, Anastasiya Toenjes, Johanna Eisenträger   +3 more
wiley   +1 more source

Fruit flies and moduli: interactions between biology and mathematics [PDF]

, 2015
Possibilities for using geometry and topology to analyze statistical problems in biology raise a host of novel questions in geometry, probability, algebra, and combinatorics that demonstrate the power of biology to influence the future of pure ...
Ezra Miller
semanticscholar   +1 more source

Design and Prototyping of Topology‐Optimized, Additively Manufactured Lightweight Components for Space Robotic Systems: A Case Study

Advanced Engineering Materials, EarlyView.
The results demonstrate a simulation‐driven workflow that applies LSB topology optimization with additive manufacturing constraints to mission‐specific load cases, integrating European Cooperation for Space Standardization compliant verification and manufacturability to develop structurally efficient rover suspension components.
Stelios K. Georgantzinos, Grigorios Kostopoulos, Eleni Papadopoulou, Stefanos Voulgaris, Alexandra Tseni, Panteleimon Bakalis, Maria N. Gkara, Chara Ch. Mitropoulou, Georgios Kazakis, Alin Munteanu, Jeremi Gancet, Nikos D. Lagaros   +11 more
wiley   +1 more source

Synchrotron Radiation for Quantum Technology

Advanced Functional Materials, EarlyView.
Materials and interfaces underpin quantum technologies, with synchrotron and FEL methods key to understanding and optimizing them. Advances span superconducting and semiconducting qubits, 2D materials, and topological systems, where strain, defects, and interfaces govern performance.
Oliver Rader, Sakura Pascarelli, Klaus Attenkofer, Anna A. Makarova, Karsten Holldack, Kai Rossnagel, Kristiaan Temst, George Kourousias, Stefano Carretta, Caterina Biscari, Helmut Dosch   +10 more
wiley   +1 more source

Kinetic Insights into Precursor‐Assisted Soft Sphere Close Packing Revealed by In Situ GISAXS with Implications for Gas Sensing

Advanced Functional Materials, EarlyView.
The versatile precursor‐assisted soft sphere close packing during slot‐die coating is investigated with in situ X‐ray scattering. The soft crystallization pathways towards a close packing involve multistep structural transitions such as surface nucleation, in‐plane, and out‐of‐plane crystallization.
Guangjiu Pan, Wenhe Xie, Suzhe Liang, Ting Tian, Shanshan Yin, Lixing Li, Altantulga Buyan‐Arivjikh, Jinsheng Zhang, Thomas Baier, Zhuijun Xu, Matthias Schwartzkopf, Sarathlal Koyiloth Vayalil, Stephan V. Roth, Yonghui Deng, Peter Müller‐Buschbaum   +14 more
wiley   +1 more source