Results 51 to 60 of about 708,238 (289)

Quadratic equations over free groups are NP-complete

, 2008
We prove that the problems of deciding whether a quadratic equation over a free group has a solution is NP ...
A. G. Myasnikov, A.I. Mal’cev, A.Yu. Ol’shanskiĭ, I. G. Lysënok, J.P. McCammond, L.P. Comerford Jr., M.R. Garey, N. W. M. Touikan, O. Kharlampovich, R.I. Grigorchuk, R.I. Grigorchuk, V. Diekert   +11 more
core   +2 more sources

The extrasolar planet Gliese 581 d: a potentially habitable planet? (Corrigendum to arXiv:1009.5814) [PDF]

, 2013
We report here that the equation for H2O Rayleigh scattering was incorrectly stated in the original paper [arXiv:1009.5814]. Instead of a quadratic dependence on refractivity r, we accidentally quoted an r^4 dependence.
Gebauer, S., Godolt, M., Grenfell, J. L., Hedelt, P., Kitzmann, D., Patzer, A. B. C., Rauer, H., Stracke, B., von Paris, P.   +8 more
core   +2 more sources

A Thermodynamic 3D Model for the Simulation of Diffusion‐Controlled Alloying Processes in Heterogeneous Material Structures

Advanced Engineering Materials, EarlyView.
A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer, Leonhard Holländer, André Langohr, Hans Jürgen Maier   +3 more
wiley   +1 more source

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

Stability Results of Quadratic-Additive Functional Equation Based on Hyers Technique in Matrix Paranormed Spaces

Mathematics, 2022
In this work, we introduce a mixed type of quadratic-additive (QA) functional equation and obtain its general solution. The objective of this work is to investigate the Ulam–Hyers stability of this quadratic-additive (QA) functional equation in matrix ...
Kandhasamy Tamilvanan, Yahya Almalki, Syed Abdul Mohiuddine, Ravi P. Agarwal   +3 more
doaj   +1 more source

Algebraic treatment of the Pais-Uhlenbeck oscillator and its PT-variant

, 2019
The algebraic method enables one to study the properties of the spectrum of a quadratic Hamiltonian through the mathematical properties of a matrix representation called regular or adjoint.
Fernández, Francisco M.
core   +1 more source

EBSD Study of Creep‐Induced Lattice Misorientation in MgO‐Particle‐Reinforced Austenitic Steel Composites

Advanced Engineering Materials, EarlyView.
Creep experiments at 900°C on coarse‐grained steel‐ceramic composites containing recycled magnesia reveal that higher ceramic volume fractions significantly enhance the creep resistance. Detailed EBSD investigations identify subgrain formation in the steel matrix as the dominant deformation mechanism.
Moritz Müller, Amaya Compart, Mahnaz Mehdizadehlima, Serhii Yaroshevskyi, Christos G. Aneziris, Horst Biermann, Anja Weidner   +6 more
wiley   +1 more source

On the Geodesic Form of Non-Relativistic Dynamic Equations

, 1999
It is shown that any second order dynamic equation on a configuration bundle $Q\to R$ of non-relativistic mechanics is equivalent to a geodesic equation with respect to a (non-linear) connection on the tangent bundle $TQ\to Q$.
Mangiarotti, L., Sardanashvily, G.
core   +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

Quadratic Equations [PDF]

Mathematical Notes, 1909
The following is a scheme of classroom work designed to introduce a pupil to quadratic equations, graphically and algebraically.Newton's Chord Rule is applied in (3) to calculate by Arithmetic close approximations to the roots of an equation. One graph suffices for any number of equations, as in (2), (5) and (7).
openaire   +1 more source