Results 11 to 20 of about 95,003 (214)

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

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

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

Reconfigurable Three‐Dimensional Superconducting Nanoarchitectures

Advanced Functional Materials, EarlyView.
3D superconducting nanostructures offer new possibilities for emergent physical phenomena. However, fabricating complex geometries remains challenging. Here 3D nanoprinting of complex 3D superconducting nanoarchitectures is established. As well as propagating superconducting vortices in 3D, anisotropic superconducting properties with geometric ...
Elina Zhakina, Luke Alexander Turnbull, Weijie Xu, Markus König, Paul Simon, Wilder Carrillo‐Cabrera, Amalio Fernández‐Pacheco, Uri Vool, Dieter Suess, Claas Abert, Vladimir M. Fomin, Claire Donnelly   +11 more
wiley   +1 more source

Low-level separation axioms from the viewpoint of computational topology

Filomat, 2019
The present paper studies certain low-level separation axioms of a topological space, denoted by A(X), induced by a geometric AC-complex X. After proving that whereas A(X) is an Alexandroff space satisfying the semi-T1 2 -separation axiom, we observe ...
Sang-Eon Han
semanticscholar   +1 more source

Peptide Sequencing With Single Acid Resolution Using a Sub‐Nanometer Diameter Pore

Advanced Functional Materials, EarlyView.
To sequence a single molecule of Aβ1−42–sodium dodecyl sulfate (SDS), the aggregate is forced through a sub‐nanopore 0.4 nm in diameter spanning a 4.0 nm thick membrane. The figure is a visual molecular dynamics (VMD) snapshot depicting the translocation of Aβ1−42–SDS through the pore; only the peptide, the SDS, the Na+ (yellow/green) and Cl− (cyan ...
Apurba Paul, Archith Rayabharam, Lisa Almonte, Eveline Rigo, Joshy Joseph, Ashutosh Kumar, Zhuxin Dong, Narayana Aluru, Gregory Timp   +8 more
wiley   +1 more source

Coccolith arrangement follows Eulerian mathematics in the coccolithophore Emiliania huxleyi

PeerJ, 2018
Background The globally abundant coccolithophore, Emiliania huxleyi, plays an important ecological role in oceanic carbon biogeochemistry by forming a cellular covering of plate-like CaCO3 crystals (coccoliths) and fixing CO2. It is unknown how the cells
Kai Xu, D. Hutchins, K. Gao
semanticscholar   +1 more source