Results 11 to 20 of about 1,844,938 (269)
Künneth formulas for motives and additivity of traces [PDF]
Advances in Mathematics, 2021 We prove several K nneth formulas in motivic homotopy categories and deduce a Verdier pairing in these categories following SGA5, which leads to the characteristic class of a constructible motive, an invariant closely related to the Euler-Poincar characteristic. We prove an additivity property of the Verdier pairing using the language of derivators,
Jin, Fangzhou, Yang, Enlin
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Crystallization of nanoparticles induced by precipitation of trace polymeric additives [PDF]
Nature Communications, 2021 Abstract Orthogonal to guided growth of nanoparticle (NP) crystals using DNA or supramolecules, a trace amount of polymeric impurities (<0.1 wt.%) leads to reproducible, rapid growth of 3D NP crystals in solution and on patterned substrates with high yield.
Yiwen Qian +7 more
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Versatile volumetric additive manufacturing with 3D ray tracing
Optics Express, 2023 Tomographic volumetric additive manufacturing (VAM) is an optical 3D printing technique where an object is formed by photopolymerizing resin via tomographic projections. Currently, these projections are calculated using the Radon transform from computed tomography but it ignores two fundamental properties of real optical projection systems: finite ...
Webber, Daniel +5 more
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Crystallize Nanoparticles by Precipitating Trace Polymeric Additives [PDF]
, 2020 Growing nanoparticle (NP) crystals has been pursued extensively using ligand chemistries such as DNA and supramolecules, controlled evaporation and patterned surfaces. Here, we show that a trace amount of polymeric impurities (<0.1 wt.%) leads to reproducible, rapid growth of high quality 3-D NP crystals in solution and on patterned substrates with ...
Yiwen Qian +7 more
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The additivity of traces in monoidal derivators [PDF]
Journal of K-theory, 2014 AbstractMotivated by traces of matrices and Euler characteristics of topological spaces, we expect abstract traces in a symmetric monoidal category to be “additive”. When the category is “stable” in some sense, additivity along cofiber sequences is a question about the interaction of stability and the monoidal structure.May proved such an additivity ...
Groth, Moritz +2 more
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Additivity of the motivic trace and the motivic Euler-characteristic
Advances in Mathematics, 2023 In this paper, we settle an open conjecture regarding the assertion that the Euler-characteristic of $\rmG/\NT$ for a split reductive group scheme $\rmG$ and the normalizer of a split maximal torus $\NT$ over a field is $1$ in the Grothendieck-Witt ring with the characteristic exponent of the field inverted, under the assumption that the base field ...
Joshua, Roy, Pelaez, Pablo
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Trace formulas for additive and non-additive perturbations
Advances in Mathematics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Neidhardt, Hagen, Malamud, Mark M.
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Journal of Materials Research and Technology, 2021 The influence of trace (3 vol%) silicon carbide particle (SiCp) addition on the hot deformation behavior of the Mg-5wt.%Zn (Mg–5Zn) alloy was studied through the hot compression test. The activation energy of the Mg–5Zn alloy is decreased by the addition
Ding-ge Fan +5 more
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Monopoles in non-Abelian Einstein-Born-Infeld Theory [PDF]
, 1999 We study static spherically symmetric monopole solutions in non-Abelian Einstein-Born-Infeld-Higgs model with normal trace structure. These monopoles are similar to the corresponding solution with symmetrised trace structure and are existing only up to ...
Argyres +32 more
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K-theory and topological cyclic homology of henselian pairs [PDF]
, 2020 Given a henselian pair $(R, I)$ of commutative rings, we show that the relative $K$-theory and relative topological cyclic homology with finite coefficients are identified via the cyclotomic trace $K \to \mathrm{TC}$.
Clausen, Dustin +2 more
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