Results 31 to 40 of about 220,587 (227)
The automorphism group of an affine quadric
, 2006 We determine the automorphism group for a large class of affine quadric hypersurfaces over a field, viewed as affine algebraic varieties. In particular, we find that the group of real polynomial automorphisms of the n-sphere is just the orthogonal group ...
BURT TOTARO, Karpenko, Knebusch, Lam
core +2 more sources
Imaging of Biphoton States: Fundamentals and Applications
Advanced Functional Materials, EarlyView.Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley +1 more source
Remarks on the Milnor conjecture over schemes [PDF]
, 2011 The Milnor conjecture has been a driving force in the theory of quadratic forms over fields, guiding the development of the theory of cohomological invariants, ushering in the theory of motivic cohomology, and touching on questions ranging from sums of ...
Auel, Asher
core
2D Magnetic and Topological Quantum Materials and Devices for Ultralow Power Spintronics
Advanced Functional Materials, EarlyView.2D magnets and topological quantum materials enable ultralow‐power spintronics by combining robust magnetic order with symmetry‐protected, Berry‐curvature‐driven transport. Fundamentals of 2D anisotropy and spin‐orbit‐coupling induced band inversion are linked to scalable growth and vdW stacking.
Brahmdutta Dixit +5 more
wiley +1 more source
Nanothermometry in Living Cells: Physical Limits, Conceptual and Material Challenges
Advanced Functional Materials, EarlyView.Heat and temperature are fundamental to life. When nanothermometers began probing regions as small as a living cell, they triggered controversial claims of large intracellular temperature gradients. We review physical constraints energy‐conservation, entropy production, thermodynamic fluctuations, and molecular dynamics.
Taras Plakhotnik
wiley +1 more source
Diophantine equations defined by binary quadratic forms over rational function fields
, 2019 We study the ``imaginary" binary quadratic form equations ax^2+bxy+cy^2+g=0 over k[t] in rational function fields, showing that a condition with respect to the Artin reciprocity map, is the only obstruction to the local-global principle for integral ...
Lv, Chang
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Advanced Functional Materials, EarlyView.ABSTRACT Breathable membranes that reject chemical warfare agents (CWAs) are required for next‐generation protective apparel. A dual‐function graphene oxide (GO)‐polyamine architecture is introduced that addresses the long‐standing tradeoff between vapor transmission and CWA selectivity.
Hyungjun Kim +6 more
wiley +1 more source
Solving the "Isomorphism of Polynomials with Two Secrets" Problem for all Pairs of Quadratic Forms [PDF]
, 2014 We study the Isomorphism of Polynomial (IP2S) problem with m=2 homogeneous quadratic polynomials of n variables over a finite field of odd characteristic: given two quadratic polynomials (a, b) on n variables, we find two bijective linear maps (s,t) such
Fouque, Pierre-Alain +2 more
core
, 2013 For a binary quadratic form $Q$, we consider the action of $\mathrm{SO}_Q$ on a two-dimensional vector space. This representation yields perhaps the simplest nontrivial example of a prehomogeneous vector space that is not irreducible, and of a coregular ...
Ariel Shnidman +6 more
core +1 more source
Triplet‐Triplet Annihilation Enhances Photochemical Curing Contrast for Vat‐Based 3D Printing
Advanced Functional Materials, EarlyView.Triplet–triplet annihilation photopolymerization (TTAP) resins enhance curing contrast for digital light processing (DLP) 3D printing compared to conventional Type I and II photopolymerizations at matched optical densities. By exploiting a superlinear initiation response, TTAP preserves fine details, allowing reliable fabrication of complex structures ...
Connor J. O'Dea +2 more
wiley +1 more source