Results 61 to 70 of about 452,175 (269)

Convex Hulls of Multiple Random Walks: A Large-Deviation Study

, 2016
We study the polygons governing the convex hull of a point set created by the steps of $n$ independent two-dimensional random walkers. Each such walk consists of $T$ discrete time steps, where $x$ and $y$ increments are i.i.d. Gaussian.
Claussen, Gunnar, Dewenter, Timo, Hartmann, Alexander K., Majumdar, Satya N.   +3 more
core   +2 more sources

Best approximation by continuous n-convex functions

Journal of Approximation Theory, 1989
Let C([0,1]) be the space, equipped with the uniform norm, of continuous real functions on [0,1]. Let \({\mathcal C}_ n\) (n\(\geq 2)\) be the set of continuous n-convex functions on [0,1] (a function f is said to be n- convex if its nth divided differences are non-negative).
openaire   +2 more sources

Constrained L-Approximation by Generalized n-Convex Functions Induced by ECT-Systems

Journal of Approximation Theory, 1995
The problem of finding a best \(L_ p\)-approximation \((1 \leq p < \infty)\) to a function in \(L_ p\) from a special subcone of generalized \(n\)- convex functions induced by an ECT-system is considered. Tchebychev splines with a countably infinite number of knots are introduced and best approximations are characterized in terms of local best ...
Ubhaya, V.A., Xu, Y.S.
openaire   +2 more sources

Impact of Sustainable Binders Based on Lignin and Collagen on the Volume Stability and Mechanical Properties of MgO‐C Refractories with MgO‐C Recyclates

Advanced Engineering Materials, EarlyView.
Collagen hydrolysate is evaluated as a sustainable binder for MgO‐C refractories. Its thermally induced cross‐linking and gas release lead to expansion and cracking in large bricks, but tailored batches with lignin, recyclates, or fine graphite improve the gas release while thermal treatment and stability.
Till M. J. Stadtmüller, Florian Kerber, Kirsten Moritz, Steffen Dudczig, Konstantin Kraushaar, Thomas Schemmel, Jana Hubálková, Patrick Gehre, Christos G. Aneziris   +8 more
wiley   +1 more source

Numerical Modeling of Tank Cars Carrying Hazardous Materials With and Without Composite Metal Foam

Advanced Engineering Materials, EarlyView.
Large‐scale puncture models consisting of hazardous materials (HAZMATs) tank car with protective steel–steel composite metal foam (S–S CMF) are solved numerically. Tank car plate with added 10.91–13.33 mm thick S–S CMF layer does not puncture. Protective S–S CMF absorbs impact energy, reduces plate deformation, and prevents shear bands formation ...
Aman Kaushik, Afsaneh Rabiei
wiley   +1 more source

Time‐Dependent Oxidation and Scale Evolution of a Wrought Co/Ni‐Based Superalloy

Advanced Engineering Materials, EarlyView.
This study shows how a new wrought Co/Ni‐based superalloy resists oxidation at 800 ∘$^\circ$C. The oxide scale changes from rough, fast‐growing spinel to a dense, protective chromia–alumina layer. Atom probe analysis reveals tiny refractory‐rich bubbles at the interface that mark the transition to long‐term, diffusion‐controlled protection ...
Cameron Crabb, Zachary T. Kloenne, Samuel R. Rogers, Chi Hang Dominik Kwok, Mark C. Hardy, Michele S. Conroy, David Dye   +6 more
wiley   +1 more source

A divided difference inequality for n-convex functions

Journal of Mathematical Analysis and Applications, 1984
Let \([x_ 0,...,x_ n]\) denote the n-th divided difference of f at the \(n+1\) distinct points \(x_ 0,...,x_ n.\) In a recent paper \textit{J. E. Pečarić} [J. Math. Anal. Appl. 90, 213-218 (1982; Zbl 0508.26008)] proved that if f is 3-convex then \([x,x+t]\) is convex as a function of x. In the present paper the author generalizes this to: if f is \((n+
openaire   +1 more source

Robust Spot Melting by 3D Spot Arrangements in Electron Beam Powder Bed Fusion

Advanced Engineering Materials, EarlyView.
This work proposes an approach to replace separately melted contours for spot melting in electron beam powder fusion. Adapting the spot arrangements close to the contour combined with stacking yields a comparable surface quality without the inherent challenges of separate contours, as demonstrated, by electron optical images and roughness measurements.
Tobias Kupfer, Lukas Spano, Sebastian Pohl, Carolin Körner, Matthias Markl   +4 more
wiley   +1 more source

Workflow for Design of Experiments‐Based Modeling of Species Transport and Growth Kinetics in GaN Hydride Vapor Phase Epitaxy

Advanced Engineering Materials, EarlyView.
A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič, G. Lukin, H. Torkashvand, A. Kerschbaum, M. Müller, S. Besendörfer, J. Heitmann, J. Friedrich   +7 more
wiley   +1 more source

Generalizations of Steffensen’s inequality via the extension of Montgomery identity

Open Mathematics, 2018
In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić, Pečarić Josip, Pribanić Anamarija Perušić   +2 more
doaj   +1 more source