Results 41 to 50 of about 59,428 (187)
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
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Monotonicity and inequalities for the gamma function
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
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Optimal Asynchronous Dynamic Policies in Energy-Efficient Data Centers
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
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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
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Hyperrectangles Selection for Monotonic Classification by Using Evolutionary Algorithms
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
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The expanding approvals rule: improving proportional representation and monotonicity [PDF]
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
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Discovering Rules That Govern Monotone Phenomena [PDF]
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
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Cost monotonicity, consistency and minimum cost spanning tree games [PDF]
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
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Absolute Monotonicity of Normalized Tail of Power Series Expansion of Exponential Function
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
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Monotonicity rules for the ratio of two Laplace transforms with applications [PDF]
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
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