Results 51 to 60 of about 83,573 (332)

Characterization of Nitinol Produced by Laser Powder Bed Fusion for Mechanical Metamaterial Applications

Advanced Engineering Materials, EarlyView.
Stabilization of L‐PBF Ni50.7Ti49.3 under low‐cycle loading was investigated. Recoverable strain after cycling was dependent on the amount of applied load. Recovery ratio was 53.4% and 35.1% at intermediate and high load, respectively. The maximum total strain reached 10.3% at a high load of 1200 MPa.
Ondřej Červinek, Jakub Hurník, Miroslav Šmíd, Ondřej Zobač, Melanie Todt, Daniel Koutný   +5 more
wiley   +1 more source

BPS invariants from framed links

Journal of High Energy Physics
In this article, we investigate the BPS invariants associated with framed links. We extend the relationship between the algebraic curve (i.e. dual A-polynomial) and the BPS invariants of a knot investigated in [14] to the case of a framed knot.
Kai Wang, Shengmao Zhu
doaj   +1 more source

Computing some Laplacian Coefficients of Forests

Journal of Applied Mathematics, 2022
Let G be a finite simple graph with Laplacian polynomial ψG,λ=∑k=0n−1n−kckλk. In an earlier paper, the coefficients cn−4 and cn−5 for forests with respect to some degree-based graph invariants were computed. The aim of this paper is to continue this work
Ali Ghalavand, Ali Reza Ashrafi
doaj   +1 more source

Local Invariants Vanishing on Stationary Horizons: A Diagnostic for Locating Black Holes

, 2015
Inspired by the example of Abdelqader and Lake for the Kerr metric, we construct local scalar polynomial curvature invariants that vanish on the horizon of any stationary black hole: the squared norms of the wedge products of n linearly independent ...
Page, Don N., Shoom, Andrey A.
core   +1 more source

Nanoindentation Criteria for Combinatorial Thin Film Libraries

Advanced Engineering Materials, EarlyView.
Thin‐film material libraries are compositional spreads used for screening composition‐structure‐property relationships. Nanoindentation is often used to characterize mechanical behavior across these systems, however variations in methodology are widespread.
Andre Bohn, Adie Alwen, Andrea M. Hodge
wiley   +1 more source

First Integrals and Invariants of Systems of Ordinary Differential Equations

Mathematics
We investigate the interplay between monomial first integrals, polynomial invariants of certain group action, and the Poincaré–Dulac normal forms for autonomous systems of ordinary differential equations with a diagonal matrix of the linear part.
Mateja Grašič, Abdul Salam Jarrah, Valery G. Romanovski   +2 more
doaj   +1 more source

Learning knot invariants across dimensions

SciPost Physics, 2023
We use deep neural networks to machine learn correlations between knot invariants in various dimensions. The three-dimensional invariant of interest is the Jones polynomial $J(q)$, and the four-dimensional invariants are the Khovanov polynomial $\text ...
Jessica Craven, Mark Hughes, Vishnu Jejjala, Arjun Kar
doaj   +1 more source

Completely mixed state is a critical point for three-qubit entanglement

, 2011
Pure three-qubit states have five algebraically independent and one algebraically dependent polynomial invariants under local unitary transformations and an arbitrary entanglement measure is a function of these six invariants.
Agrawal, Bennett, Bennett, Bennett, Blasone, Boschi, Carteret, Chen, Coffman, Dür, Ekert, Facchi, Grassl, Hilling, Hübener, Jung, Karlsson, Linden, Makhlin, Martin, Mattle, Nielsen, Oh, Onishchik, Sayatnova Tamaryan, Shor, Sudbery, Tamaryan, Tamaryan, Tamaryan, Vandersypen, Wei   +31 more
core   +1 more source

Codes from $$A_m$$-invariant polynomials

Designs, Codes and Cryptography
Accepted in Designs, Codes, and ...
Micheli, Giacomo, Lavorante, Vincenzo Pallozzi, Waitkevich, Phillip   +2 more
openaire   +2 more sources

Additive Gaussian Process Regression for Predictive Design of High‐Performance, Printable Silicones

Advanced Engineering Materials, EarlyView.
A chemistry‐aware design framework for tuning printable polydimethylsiloxane (PDMS) for vat photopolymerization (VPP) is developed using additive Gaussian process (GP) modeling. Polymer network mechanics informs variable groupings, feasible formulation constraints, and interaction variables.
Roxana Carbonell, Martha Leach, Hongtao Song, Carolyn Seepersad   +3 more
wiley   +1 more source