Results 61 to 70 of about 71,329 (324)

Convex Equipartitions via Equivariant Obstruction Theory [PDF]

, 2013
We describe a regular cell complex model for the configuration space F(\R^d,n). Based on this, we use Equivariant Obstruction Theory to prove the prime power case of the conjecture by Nandakumar and Ramana Rao that every polygon can be partitioned into n
Blagojević, Pavle V. M., Ziegler, Günter M.   +1 more
core  

Equivariant Semidefinite Lifts of Regular Polygons [PDF]

Mathematics of Operations Research, 2017
Given a polytope P ⊂ ℝn, we say that P has a positive semidefinite lift (psd lift) of size d if one can express P as the projection of an affine slice of the d × d positive semidefinite cone. Such a representation allows us to solve linear optimization problems over P using a semidefinite program of size d and can be useful in practice when d is much ...
Fawzi, Hamza, Saunderson, James, Parrilo, Pablo A   +2 more
openaire   +5 more sources

Artificial Intelligence‐Assisted Workflow for Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling

Advanced Materials, EarlyView.
AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll, Ivan Pinto‐Huguet, Enzo Rotunno, Thomas Galvani, Catalina Coll, Payam Habibzadeh Kavkani, Maria Chiara Spadaro, Yann‐Michel Niquet, Martin Børstad Eriksen, Sara Martí‐Sánchez, Georgios Katsaros, Giordano Scappucci, Peter Krogstrup, Giovanni Isella, Andreu Cabot, Gonzalo Merino, Pablo Ordejón, Stephan Roche, Vincenzo Grillo, Jordi Arbiol   +19 more
wiley   +1 more source

Pegs and Ropes: Geometry at Stonehenge [PDF]

, 2008
A recent computer-aided-design investigation of the Neolithic 56 Aubrey Hole circuit at Stonehenge has led to the discovery of an astonishingly simple geometrical construction for drawing an approximately regular 56-sided polygon, feasible with a compass
Alberto Pimpinelli, Anthony Johnson
core   +1 more source

Ultra‐Sensitive Nanofiber‐Based Triboelectric Nanogenerator for Energy Harvesting and Self‐Powered Sensing

Advanced Materials, EarlyView.
A multidimensional molecular strategy optimizes the tribonegative layer by electrospinning PVDF‐HFP for dipole alignment and crystallinity, followed by 2D borophene doping to enhance conductivity and charge trapping. Integrated with Nylon‐66 nanofibers, the composite device delivers a record sensitivity of 53.8 ± 1.2 V kPa−1 at 3 Hz, enabling ultra ...
Sajib Roy, Bhaskar Dudem, Md Delowar Hussain, Vlad Stolojan, Seyedeh Sadrieh Emadian, Satheesh Krishnamurthy, Jae Sung Yun, S. Ravi P. Silva   +7 more
wiley   +1 more source

Lattice ℂP N−1 model with ℤ N twisted boundary condition: bions, adiabatic continuity and pseudo-entropy

Journal of High Energy Physics, 2020
We investigate the lattice ℂP N−1 sigma model on S s 1 $$ {S}_s^1 $$ (large) × S τ 1 $$ {S}_{\tau}^1 $$ (small) with the ℤ N symmetric twisted boundary condition, where a sufficiently large ratio of the circumferences (L s ≫ L τ ) is taken to approximate
Toshiaki Fujimori, Etsuko Itou, Tatsuhiro Misumi, Muneto Nitta, Norisuke Sakai   +4 more
doaj   +1 more source

Additive Manufacturing of Negative Thermal Expansion Metamaterials Using Steels

Advanced Materials Technologies, EarlyView.
Architected lattices with tunable negative thermal expansion are fabricated from common steels using laser powder bed fusion metal additive manufacturing. Optimized multimaterial interfaces and geometry‐driven design produce robust, defect‐minimized structures that remain dimensionally stable up to 300 °C, enabling scalable solutions for thermal ...
Devashish Dubey, Eskandar Fereiduni, Mohamed A. Elbestawi, Mehedi H. Mahfuz, Ryan B. Berke   +4 more
wiley   +1 more source

Advanced Ceramics in Aerospace and Defense: The Interrelationship between Traditional and Additive Manufacturing Approaches

Advanced Materials Technologies, EarlyView.
Additive manufacturing revolutionizes production by enabling on‐demand, customized, and sustainable manufacturing with streamlined supply chains. While metal and polymer AM are well‐established, advanced ceramic AM is rapidly emerging, overcoming traditional material challenges.
Kateryna Oleksandrivna Shvydyuk, Senentxu Lanceros‐Mendez, Abílio Pereira Silva   +2 more
wiley   +1 more source

Structural Colors from Ultrathin Lignin Films

Advanced Optical Materials, EarlyView.
Thickness‐dependent structural colors in ultrathin lignin films generate a full visible palette, tuned simply by solution concentration and spin speed. Abstract Structural colors offer a sustainable alternative to toxic pigments and dyes, yet their realization from lignin, the most abundant aromatic biopolymer, has remained elusive.
Bang An, Anran Mao, Torbjörn Pettersson, Wei Li, Shouxin Liu, Anna J. Svagan, Ravi Shanker   +6 more
wiley   +1 more source

On the Polynomials Orthogonal on Regular Polygons

Journal of Approximation Theory, 1999
The author studies the so called Pastro-Al Salam-Ismail polynomials [\textit{W. A. Al-Salam} and \textit{M. E. H. Ismail}, Proc. Am. Math. Soc. 121, 553-561 (1994; Zbl 0835.33011) and J. Math. Anal. Appl. 112, No. 2, 517-540 (1985; Zbl 0582.33010)]: polynomials biorthogonal on the unit circle with continuous weight function (under mild conditions ...
openaire   +2 more sources