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Testing Top Monotonicity [PDF]

, 2014
Top monotonicity is a relaxation of various well-known domain restrictions such as single-peaked and single-crossing for which negative impossibility results are circumvented and for which the median-voter theorem still holds.
Aziz, Haris
core  

On the Composition of Completely Monotonic Functions and Completely Monotonic Sequences and Related Questions [PDF]

Journal of the London Mathematical Society, 1983
The authors answer several previously open questions about c.m. (completely monotonic) sequences and functions. (1) If W(x) is c.m. on \([a,\infty)\) and \(\{\Delta x_ k\}\) is c.m. with \(x_ 0\geq a,\) then \(\{W(x_ k)\}_ 0^{\infty}\) is c.m. Also, the sequence \(\{\mu_ k^{\lambda}\},\quad\mu_ 0=1,\quad\mu_ k>0,\quad k=1,2,...,\) is c.m.
Lorch, Lee, Newman, Donald J.
openaire   +2 more sources

A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions

Advanced Engineering Materials, EarlyView.
This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice, Krzysztof S. Stopka, Michael D. Sangid   +2 more
wiley   +1 more source

Regular black holes and complete monotonicity

Journal of High Energy Physics
We examine the conjecture for the complete monotonicity of certain curvature invariants for regular black holes. In this note, we study a class of regular black holes that are static, spherically symmetric, and characterized only by their mass.
A. Almasi, A. Moradpouri, M. Shahbazi
doaj   +1 more source

Extension of complete monotonicity results involving the digamma function

Moroccan Journal of Pure and Applied Analysis, 2018
By using some analytical techniques, we prove a complete monotonicity property of a certain function involving the (p, k)-digamma function. Subsequently, we derive some inequalities for the (p, k)- digamma function.
Nantomah Kwara
doaj   +1 more source

Monotonicity and inequalities for the gamma function

Journal of Inequalities and Applications, 2017
In this paper, by using the monotonicity rule for the ratio of two Laplace transforms, we prove that the function x ↦ 1 24 x ( ln Γ ( x + 1 / 2 ) − x ln x + x − ln 2 π ) + 1 − 120 7 x 2 $$ x\mapsto \frac{1}{24x ( \ln \Gamma ( x+1/2 ) -x\ln x+x- \ln \sqrt{
Zhen-Hang Yang, Jing-Feng Tian
doaj   +1 more source

Generic Dynamics and Monotone Complete C ∗ -Algebras [PDF]

Transactions of the American Mathematical Society, 1986
Let R R be any ergodic, countable generic equivalence relation on a perfect Polish space X X . It follows from the main theorem of § 1 \S 1 that, modulo a meagre subset of X , R X,R may be identified with the relation of orbit equivalence ...
Sullivan, Dennis, Weiss, B., Wright, J. D. Maitland   +2 more
openaire   +1 more source

Multifunctional Crushing and Piezoresistive Self‐Sensing in Conductive Epoxy/CNT‐Coated Polyetherimide TPMS Lattices

Advanced Engineering Materials, EarlyView.
This study reports lightweight polyetherimide triply periodic minimal surfaces lattices coated with carbon nanotube‐reinforced epoxy that combine mechanical robustness with self‐sensing. The conformal coating enhances stiffness, strength and energy absorption while enabling reliable strain monitoring.
A. Triay, J. Schneider, P. Harrison, S. Kumar   +3 more
wiley   +1 more source

Notes on three conjectures involving the digamma and generalized digamma functions

Journal of Inequalities and Applications, 2018
In the paper, we solve one conjecture on an inequality involving digamma function, an open problem, and a conjecture on monotonicity of functions involving generalized digamma function. We also prove a new inequality for digamma function.
Ladislav Matejíčka
doaj   +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