Results 41 to 50 of about 59,428 (187)

The monotone traveling wave solution of a bistable three-species competition system via unconstrained neural networks

open access: yesMathematical Biosciences and Engineering, 2023
In this paper, we approximate traveling wave solutions via artificial neural networks. Finding traveling wave solutions can be interpreted as a forward-inverse problem that solves a differential equation without knowing the exact speed.
Sung Woong Cho   +2 more
doaj   +1 more source

Monotonicity and inequalities for the gamma function

open access: yesJournal 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

Optimal Asynchronous Dynamic Policies in Energy-Efficient Data Centers

open access: yesSystems, 2022
In this paper, we apply a Markov decision process to find the optimal asynchronous dynamic policy of an energy-efficient data center with two server groups.
Jing-Yu Ma, Quan-Lin Li, Li Xia
doaj   +1 more source

Monotonicity, convexity, and Maclaurin series expansion of Qi's normalized remainder of Maclaurin series expansion with relation to cosine

open access: yesOpen Mathematics
In this article, the authors introduce Qi’s normalized remainder of the Maclaurin series expansion of Qi’s normalized remainder for the cosine function.
Pei Wei-Juan, Guo Bai-Ni
doaj   +1 more source

Hyperrectangles Selection for Monotonic Classification by Using Evolutionary Algorithms

open access: yesInternational Journal of Computational Intelligence Systems, 2016
In supervised learning, some real problems require the response attribute to represent ordinal values that should increase with some of the explaining attributes. They are called classification problems with monotonicity constraints.
Javier García   +4 more
doaj   +1 more source

The expanding approvals rule: improving proportional representation and monotonicity [PDF]

open access: yesSocial Choice and Welfare, 2019
Proportional representation (PR) is often discussed in voting settings as a major desideratum. For the past century or so, it is common both in practice and in the academic literature to jump to single transferable vote (STV) as the solution for achieving PR.
Haris Aziz, Barton E. Lee
openaire   +3 more sources

Discovering Rules That Govern Monotone Phenomena [PDF]

open access: yes, 2006
Unlocking the mystery of natural phenomena is a universal objective in scientific research. The rules governing a phenomenon can most often be learned by observing it under a sufficiently large number of conditions that are sufficiently high in resolution. The general knowledge discovery process is not always easy or efficient, and even if knowledge is
Vetle I. Torvik   +1 more
openaire   +2 more sources

Cost monotonicity, consistency and minimum cost spanning tree games [PDF]

open access: yes, 2002
We propose a new cost allocation rule for minimum cost spanning tree games. The new rule is a core selection and also satisfies cost monotonicity. We also give characterization theorems for the new rule as well as the much-studied Bird allocation.
Dutta, Bhaskar, Kar, Anirban
core   +1 more source

Absolute Monotonicity of Normalized Tail of Power Series Expansion of Exponential Function

open access: yesMathematics
In this work, the author reviews the origination of normalized tails of the Maclaurin power series expansions of infinitely differentiable functions, presents that the ratio between two normalized tails of the Maclaurin power series expansion of the ...
Feng Qi
doaj   +1 more source

Monotonicity rules for the ratio of two Laplace transforms with applications [PDF]

open access: bronzeJournal of Mathematical Analysis and Applications, 2018
Let $f$ and $g$ be both continuous functions on $\left( 0,\infty \right) $ with $g\left( t\right) >0$ for $t\in \left( 0,\infty \right) $ and let $ F\left( x\right) =\mathcal{L}\left( f\right) $, $G\left( x\right) =\mathcal{L }\left( g\right) $ be respectively the Laplace transforms of $f$ and $g$ converging for $x>0$. We prove that if there is a
Zhen-Hang Yang, Jing-Feng Tian
openalex   +4 more sources

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