Results 21 to 30 of about 761 (208)
Annihilating Ideals Of Quadratic Forms Over Local And Global Fields [PDF]
We study annihilating polynomials and annihilating ideals for elements of Witt rings for groups of exponent 2. With the help of these results and certain calculations involving the Clifford invariant, we are able to give full sets of generators for the ...
Ruehl, Klaas-Tido
core +2 more sources
A classification theorem for quadratic forms over semi-local rings [PDF]
, 1986 Let R be a semi-local ring with 2∈U(R) and such that all residue class fields of R contain more than 3 elements. It is proved here that bilinear spaces over R are classified by dimension, determinant, Hasse invariant and total signature if and only if ...
Yucas, Joseph L.
core +1 more source
Advanced Engineering Materials, EarlyView.A simplified thermoplastic pultrusion model is developed to predict thermal fields in glass fiber/polyethylene terephthalate (GF/PET) composites with reduced computational cost. By combining effective material homogenization, validation against literature data, and Gaussian‐process‐based optimization, the study reveals how heating limits, pulling speed,
Elder Soares +3 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.This study examines how helicoidal architectures with different porosities respond to bending. Adjusting layer angle and spacing in 3D‐printed polymers reveals clear tradeoffs between stiffness, strength, and energy absorption. Experiments and simulations highlight designs that distribute stress effectively, offering pathways for optimizing lightweight
Praveenkumar Subhash Patil +2 more
wiley +1 more source
Investigating the Low‐Temperature Phase Stability of the Binary Ta–W System
Advanced Engineering Materials, EarlyView.Atomistic simulations show that the binary Ta–W system forms ordered intermetallic phases, B2‐TaW and D03‐TaW3, as 0 K ground states. Configurational entropy, however, lowers the free energy of the disordered bcc solid solution, which becomes the stable phase above about 400 K.
Klemens Lechner +7 more
wiley +1 more source
Configuration‐Encoded Cell Alignment by Light‐Gated Silicon Photovoltaic Microcell Arrays
Advanced Functional Materials, EarlyView.Light‐gated silicon photovoltaic microcells convert pulsed illumination into localized electrical cues. Arranging otherwise similar microcells into four‐lobed, six‐lobed, or circular patterns directs fibroblasts into corresponding local arrangements without wired stimulation.
Yifan Tao +7 more
wiley +1 more source
Quadratic forms, orderings and quaternion algebras over rings with many units [PDF]
, 1988 The "algebraic" theory of quadratic forms over fields of characteristic ≠2 dates back to the 1937 paper of Witt [37]. It was in this paper that the Witt ring of a field was first considered.
Walter, Leslie J.
core
Reflection theorems for number rings
, 2021 The Ohno-Nakagawa reflection theorem is an unexpectedly simple identity relating the number of $\GL_2 \ZZ$-classes of binary cubic forms (equivalently, cubic rings) of two different discriminants $D$, $-27D$; it generalizes cubic reciprocity and the ...
O'Dorney, Evan Michael
core
Rethinking Charge Transport and Recombination in Donor‐Diluted Organic Solar Cells
Advanced Materials, EarlyView.Organic solar cells with 1–45% PM6 content in Y12 were studied to link structure and charge dynamics to performance. The conductivity follows a 3D percolation model without a sharp threshold. Donor dilution preserves the photogeneration yield, but limits the fill factor due to transport resistance losses.
Chen Wang +14 more
wiley +1 more source
Resonant Domain Wall Dynamics in a Three‐Dimensional Magnetic Nano Double Helix
Advanced Materials, EarlyView.3D magnetic nanostructures promise exciting possibilities for magnetization dynamics. However, experimental realizations remain scarce. In nanoprinted cobalt double helices, time‐resolved X‐ray microscopy reveals harmonic domain wall dynamics. Simulations identify the mode and additional higher‐frequency resonances, revealing a rich dynamic landscape ...
Pamela Morales‐Fernández +15 more
wiley +1 more source