Results 41 to 50 of about 3,572,424 (305)

Analytical solution of fractional differential equations by Akbari–Ganji’s method

Partial Differential Equations in Applied Mathematics, 2022
According to the various and extensive applications of fractional calculus in a range of fields, such as engineering, biology, image processing, material science and economics, researchers have discovered new, simpler-to-use and more accurate approaches ...
M.A. Attar, M. Roshani, Kh. Hosseinzadeh, D.D. Ganji   +3 more
doaj   +1 more source

Polynomials with constant Hessian determinant

Journal of Pure and Applied Algebra, 1991
The author proves the Jacobian conjecture for polynomial mappings \(F:\mathbb{C}^ 2\to\mathbb{C}^ 2\) with symmetric Jacobian matrix. He uses the fact that, in this case, there exists a polynomial \(P:\mathbb{C}^ 2\to\mathbb{C}\) such that \(F=\text{grad}(P)\) (then \(P\) has constant Hessian determinant), and next, he gives the explicit form of such \(
openaire   +1 more source

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

Grothendieck inequalities characterize converses to the polynomial method [PDF]

Quantum
A surprising 'converse to the polynomial method' of Aaronson et al. (CCC'16) shows that any bounded quadratic polynomial can be computed exactly in expectation by a 1-query algorithm up to a universal multiplicative factor related to the famous ...
Jop Briët, Francisco Escudero Gutiérrez, Sander Gribling   +2 more
doaj   +1 more source

Asymptotics of Polynomial Interpolation and the Bernstein Constants [PDF]

Results in Mathematics, 2021
AbstractIt is well known that the interpolation error for $$\left| x\right| ^{\alpha },\alpha >0$$ x α , α > 0
openaire   +3 more sources

The polynomial method strikes back: tight quantum query bounds via dual polynomials [PDF]

Electron. Colloquium Comput. Complex., 2017
The approximate degree of a Boolean function f is the least degree of a real polynomial that approximates f pointwise to error at most 1/3. The approximate degree of f is known to be a lower bound on the quantum query complexity of f (Beals et al., FOCS ...
Mark Bun, Robin Kothari, J. Thaler
semanticscholar   +1 more source

Transfer of Energy and Momentum Between Magnetoactive Surface Microstructure and a Solid Object

Advanced Engineering Materials, EarlyView.
We demonstrate that magnetoactive multilamellar arrays subjected to a rotating magnetic field can function as platforms for controlled transport of physical objects. Through systematic experimental investigation, we elucidate the underlying physical mechanisms determining the upper limit of the achievable transportation speed in such magnetic “conveyor‐
Arne Geldof, Jan Kopačin, Izidor Straus, Raphael Kriegl, Gaia Kravanja, Luka Hribar, Matija Jezeršek, Mikhail Shamonin, Gašper Kokot, Irena Drevenšek‐Olenik   +9 more
wiley   +1 more source

Investigation of Laser Ablation and Brush Pre‐Treatments for AlCu Cold Roll Bonding in Oxygen‐Free Conditions

Advanced Engineering Materials, EarlyView.
It is shown that laser ablation pretreatment under oxygen‐free conditions enables copper–aluminium bonding at significantly lower deformation degrees and improved properties compared to mechanical brushing. Laser ablation further increases interface contact area and induces favourable residual stress states and microstructural compatibility ...
Khemais Barienti, Finn‐Lennard Janthur, Selina Raumel, Sascha Jan Zimmermann, Sarah Seffer, René Gustus, Sebastian Herbst, Marc C. Wurz, Ludger Overmeyer, Wolfgang Maus‐Friedrichs, Hans Jürgen Maier, Florian Nürnberger   +11 more
wiley   +1 more source

Polynomial Solutions of Equivariant Polynomial Abel Differential Equations

Advanced Nonlinear Studies, 2018
Let a⁢(x){a(x)} be non-constant and let bj⁢(x){b_{j}(x)}, for j=0,1,2,3{j=0,1,2,3}, be real or complex polynomials in the variable x. Then the real or complex equivariant polynomial Abel differential equation a⁢(x)⁢y˙=b1⁢(x)⁢y+b3⁢(x)⁢y3{a(x)\dot{y}=b_{1}(
Llibre Jaume, Valls Clàudia
doaj   +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