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28th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2016

作者： Billey, Sara C. Konvalinka, Matjaž Matsen, Frederick A. Department of Mathematics University of Washington SeattleWA98195 United States Department of Mathematics University of Ljubljana & Institute for Mathematics Physics and Mechanics Ljubljana Slovenia Computational Biology Program Fred Hutchinson Cancer Research Center SeattleWA98109 United States

Tanglegrams are a class of graphs arising in computer science and in biological research on cospeciation and coevolution. They are formed by identifying the leaves of two rooted binary trees. The embedding of the trees in the plane is irrelevant for this application. We give an explicit formula to count the number of distinct binary rooted tanglegrams with n matched leaves, along with a simple asymptotic formula and an algorithm for choosing a tanglegram uniformly at random. The enumeration formula is then extended to count the number of tangled chains of binary trees of any length. This work gives a new formula for the number of binary trees with n leaves. Several open problems and conjectures are included along with pointers to several followup articles that have already appeared. © 2016 Discrete mathematics and Theoretical Computer Science (DMTCS), Nancy, France to reconstruct the historical associations between the phylogenies of host and parasite under a model of parasites switching hosts, which is an instance of the more general problem of cophylogeny estimation.

关键词： Binary trees

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Nonequilibrium and morphological characterizations of Kelvin-Helmholtz instability in compressible flows

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Frontiers of physics 2019年第4期14卷 83-99页

作者： Yan-Biao Gan Ai-Guo Xu Guang-Cai Zhang Chuan-Dong Lin Hui-Lin Lai Zhi-Peng Liu North China Institute of Aerospace Engineering Langfang 065000 China College of Mathematics and Informatics & FJKLMAA Fujian Normal University Fuzhou 350007 China Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics P. O. Box 8009-26 Beijing 100088 China State Key Laboratory of Explosion Science and Technology Beijing Institute of Technology Beijing 100081 China Center for Applied Physics and Technology MOE Key Center for High Energy Density Physics Simulations College of Engineering Peking University Beijing 100871 China Center for Combustion Energy Key Laboratory for Thermal Science and Power Engineering of Ministry of Education Department of Energy and Power Engineering Tsinghua University Beijing 100084 China Department of Physics School of Science Tianjin Chengjian University Tianjin 300384 China

We investigate the effects of viscosity and heat conduction on the onset and growth of Kelvin-Helmholtz instability (KHI) via an efficient discrete Boltzmann ***,two effective approaches are presented to quantitatively analyze and understand the configurations and kinetic *** is to determine the thickness of mixing layers through tracking the distributions and evolutions of the thermodynamic nonequilibrium (TNE) measures;the other is to evaluate the growth rate of KHI from the slopes of morphological ***,it is found that the time histories of width of mixing layer,TNE intensity,and boundary length show high correlation and attain their maxima *** viscosity effects are twofold,stabilize the KHI,and enhance both the local and global TNE *** to the monotonically inhibiting effects of viscosity,the heat conduction effects firstly refrain then enhance the evolution *** physical reasons are analyzed and presented.

关键词： Kelvin-Helmholtz instability discrete Boltzmann method thermodynamic nonequilibrium effect morphological characterization

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Structure inversion asymmetry enhanced electronic structure and electrical transport in 2D A3SnO(A=Ca,Sr,and Ba)antiperovskite monolayers

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Nano Research 2023年第1期16卷 1779-1791页

作者： Syed Muhammad Alay-e-Abbas Ghulam Abbas Waqas Zulfiqar Muhammad Sajjad Nirpendra Singh J.Andreas Larsson Applied Physics Division of Materials ScienceDepartment of Engineering Sciences and MathematicsLuleåUniversity of Technology97187 LuleåSweden Computational Materials Modeling Laboratory Department of PhysicsGovernment College UniversityFaisalabad 38040Pakistan Department of Energy Conversion and Storage Technical University of Denmark2800 Kgs.LyngbyDenmark Department of Physics Khalifa University of Science and TechnologyAbu Dhabi-127788United Arab Emirates Center for Catalysis and Separation(CeCaS) Khalifa University of Science and TechnologyAbu Dhabi-127788United Arab Emirates

Anti-perovskites A3SnO(A=Ca,Sr,and Ba)are an important class of materials due to the emergence of Dirac cones and tiny mass gaps in their band structures originating from an intricate interplay of crystal symmetry,spin–orbit coupling,and band *** provides an exciting playground for modulating their electronic properties in the two-dimensional(2D)***,we employ first-principles density functional theory(DFT)calculations by combining dispersion-corrected SCAN+rVV10 and mBJ functionals for a comprehensive side-by-side comparison of the structural,thermodynamic,dynamical,mechanical,electronic,and thermoelectric properties of bulk and monolayer(one unit cell thick)A3SnO *** results show that 2D monolayers derived from bulk A3SnO anti-perovskites are structurally and energetically ***,Rashba-type splitting in the electronic structure of Ca3SnO and Sr3SnO monolayers is observed owing to strong spin–orbit coupling and inversion *** the other hand,monolayer Ba3SnO exhibits Dirac cone at the high-symmetryΓpoint due to the domination of band *** on the predicted electronic transport properties,it is shown that inversion asymmetry plays an essential character such that the monolayers Ca3SnO and Sr3SnO outperform thermoelectric performance of their bulk counterparts.

关键词： electrical transport anti-perovskites low-dimensional materials electronic structure mechanical properties

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Novel Scheme for Robust Confusion Component Selection Based on Pythagorean Fuzzy Set

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Computers, Materials & Continua 2023年第3期74卷 6523-6534页

作者： Nabilah Abughazalah Mohsin Iqbal Majid Khan Iqtadar Hussain Department of Mathematical Sciences College of SciencePrincess Nourah bint Abdulrahman UniversityP.O.Box 84428Riyadh11671Saudi Arabia Department of Mathematics&Statistics Riphah International UniversityIslamabadPakistan Department of Applied Mathematics&Statistics Institute of Space TechnologyIslamabadPakistan Mathematics Program Department of MathematicsStatistics and PhysicsCollege of Arts and SciencesQatar University2713DohaQatar Statistical Consulting Unit College of Arts and ScienceQatar UniversityDohaQatar

The substitution box,often known as an S-box,is a nonlinear component that is a part of several block *** purpose is to protect cryptographic algorithms from a variety of cryptanalytic assaults.A Multi-Criteria Decision Making(MCDM)problem has a complex selection procedure because of having many options and criteria to choose *** of this,statistical methods are necessary to assess the performance score of each S-box and decide which option is the best one available based on this *** the Pythagorean Fuzzy-based Technique for Order of Preference by Similarity to Ideal Solution(TOPSIS)method,the major objective of this investigation is to select the optimal S-box to be implemented from a pool of twelve key *** the help of the Pythagorean fuzzy set(PFS),the purpose of this article is to evaluate whether this nonlinear component is suitable for use in a variety of encryption *** this article,we have considered various characteristics of S-boxes,including nonlinearity,algebraic degree,strict avalanche criterion(SAC),absolute indicator,bit independent criterion(BIC),sum of square indicator,algebraic immunity,transparency order,robustness to differential cryptanalysis,composite algebraic immunity,signal to noise ratio-differential power attack(SNR-DPA),and confusion coefficient variance on some standard S-boxes that are Advanced Encryption Following this,the findings of the investigation are changed into Pythagorean fuzzy numbers in the shape of a *** matrix is then subjected to an analysis using the TOPSIS method,which is dependent on the Pythagorean fuzzy set,to rank the most suitable S-box for use in encryption applications.

关键词： Decision making substitution box TOPSIS multi-criterion decision making fuzzy set Pythagorean fuzzy set

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Machine-learning-based non-Newtonian fluid model with molecular fidelity

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Physical Review E 2020年第4期102卷 043309-043309页

作者： Huan Lei Lei Wu Weinan E Department of Computational Mathematics Science & Engineering and Department of Statistics & Probability Michigan State University East Lansing Michigan 48824 USA Department of Mathematics and Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544 USA

We introduce a machine-learning-based framework for constructing continuum a non-Newtonian fluid dynamics model directly from a microscale description. Dumbbell polymer solutions are used as examples to demonstrate the essential ideas. To faithfully retain molecular fidelity, we establish a micro-macro correspondence via a set of encoders for the microscale polymer configurations and their macroscale counterparts, a set of nonlinear conformation tensors. The dynamics of these conformation tensors can be derived from the microscale model, and the relevant terms can be parametrized using machine learning. The final model, named the deep non-Newtonian model (DeePN2), takes the form of conventional non-Newtonian fluid dynamics models, with a generalized form of the objective tensor derivative that retains the microscale interpretations. Both the formulation of the dynamic equation and the neural network representation rigorously preserve the rotational invariance, which ensures the admissibility of the constructed model. Numerical results demonstrate the accuracy of DeePN2 where models based on empirical closures show limitations.

关键词： Learning Neuronal networks Complex fluids Non-Newtonian fluids Rheology Viscoelasticity Multiscale modeling

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Spectral bounds for independent cascade model with sensitive edges

Spectral bounds for independent cascade model with sensitive...

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Annual Conference on Information Sciences and Systems (CISS)

作者： Eun Jee Lee Sudeep Kamath Emmanuel Abbe Sanjeev R. Kulkarni Program in Applied and Computational Mathematics Department of Electrical Engineering Princeton University

This paper studies independent cascade models where influence propagates from seed-nodes along edges with independent probabilities. Upper-bounds for the expected number of influenced nodes were previously proposed using the spectral norm of a Hazard matrix. However, these bounds turn out loose in many cases, in particular with respect to sensitive edges such as bottlenecks, seed adjacent, and high probability edges. This paper proposes a similar bound that improves in such cases by handling sensitives edges more carefully.

关键词： Hazards Upper bound Stochastic processes Information science Merging computational modeling Mathematical model

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Mesoscopic model for microscale hydrodynamics and interfacial phenomena: Slip, films, and contact-angle hysteresis

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Physical Review E 2013年第1期87卷 013302-013302页

作者： Carlos E. Colosqui Michail E. Kavousanakis Athanasios G. Papathanasiou Ioannis G. Kevrekidis Department of Chemical and Biological Engineering and Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544 USA

We present a model based on the lattice Boltzmann equation that is suitable for the simulation of dynamic wetting. The model is capable of exhibiting fundamental interfacial phenomena such as weak adsorption of fluid on the solid substrate and the presence of a thin surface film within which a disjoining pressure acts. Dynamics in this surface film, tightly coupled with hydrodynamics in the fluid bulk, determine macroscopic properties of primary interest: the hydrodynamic slip; the equilibrium contact angle; and the static and dynamic hysteresis of the contact angles. The pseudo-potentials employed for fluid-solid interactions are composed of a repulsive core and an attractive tail that can be independently adjusted. This enables effective modification of the functional form of the disjoining pressure so that one can vary the static and dynamic hysteresis on surfaces that exhibit the same equilibrium contact angle. The modeled fluid-solid interface is diffuse, represented by a wall probability function that ultimately controls the momentum exchange between solid and fluid phases. This approach allows us to effectively vary the slip length for a given wettability (i.e., a given static contact angle) of the solid substrate.

关键词： HYDRODYNAMICS INTERFACES (Physical sciences) THIN films HYSTERESIS MATHEMATICAL models LATTICE Boltzmann methods DYNAMICAL systems WETTING

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Study on the measurement of the deformation of solid material in infrared radiation imaging

Study on the measurement of the deformation of solid materia...

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International Conference on Electronics and Optoelectronics

作者： Cheng, Tao Teng, Ai-Ping Wang, Fang Zhang, Guang-Cai Zhang, Yong-Jun State Key Laboratory for Geo-Mechanics and Deep Underground Engineering China University of Mining and Technology Beijing China Beijing China Institute of Applied Physics and Computational Mathematics China Academy of Engineering Physics Beijing China Department of Mathematics-Physics Qingdao Technological University Shandong China

ISBN: (纸本)9781612842738

Based on the thermodynamics and plastoelasticity, mechanics of the infrared radiation of solid material was investigated and theoretical explanation was given. The constitutive relation between temperature and principal strains was obtained. According to the theory we simulated the infrared radiation temperature field of the solid material subjected to external loading. Calculation results were in good agreement with experimental results, which verifying the validity of the theory and the feasibility of the measurement of deformation using infrared radiation imaging. © 2011 IEEE.

关键词： Temperature

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Radiation and gyrotactic microorganisms in Walter-B nanofluid flow over a stretching sheet

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Journal of Radiation Research and applied Sciences 2025年第3期18卷

作者： Muhammad Shaheen Hakeem Ullah Mehreen Fiza Aasim Ullah Jan Ali Akgül A.S. Hendy Samira Elaissi Ilyas Khan Mohsen Bakhori N.F.M. Noor Department of Mathematics Abdul Wali Khan University Mardan 23200 Khyber Pakhtunkhwa Pakistan Department of Mathematics and Statistics Bacha Khan University Charsadda Khyber Pakhtunkhwa Pakistan Department of Electronics and Communication Engineering Saveetha School of Engineering SIMATS Chennai Tamilnadu India Siirt University Art and Science Faculty Department of Mathematics 56100 Siirt Turkey Applied Science Research Center Applied Science Private University Amman 11937 Jordan Department of Computational Mathematics and Computer Science Institute of Natural Sciences and Mathematics Ural Federal University 19 Mira St. Yekaterinburg 620002 Russia Department of Mechanics and Mathematics Western Caspian University Baku 1001 Azerbaijan Department of Physics College of Sciences Princes Nourah Bint Abdulrahman University P.O. Box 84428 Riyadh 11671 Saudi Arabia Department of Mathematics College of Science Al-Zulfi Majmaah University Al-Majmaah 11952 Saudi Arabia Department of Medical Equipment Technology College of Applied Medical Science Majmaah University Majmaah 11952 Saudi Arabia Institute of Mathematical Sciences Faculty of Science Universiti Malaya 50603 Kuala Lumpur Malaysia

The present study investigates the flow characteristics of both homogeneous and heterogeneous Walter-B nanofluids induced by a stretching sheet. Special attention is given to the effects of melting and magnetic fields on the flow behavior. The distribution of motile microorganisms is modeled using a microbial conservation equation, incorporating key parameters such as the Lewis number, Peclet number, and the microorganism difference parameter. The influence of thermal radiation and the heterogeneous reaction parameter is also considered. To facilitate the analysis, the governing partial differential equations are transformed into a set of ordinary differential equations using similarity transformations. A convergent series solution is then obtained through the application of the Homotopy Analysis Method (HAM). The study further explores the effects of various physical parameters, including the Prandtl number, magnetic field intensity, radiation, thermophoresis, Brownian motion, bioconvection, Peclet number, and the microorganism difference parameter. Results indicate that the velocity field decreases with an increase in the magnetic parameter, while the temperature profile diminishes with higher values of the radiation parameter. Furthermore, the concentration of microorganisms is observed to decline with increasing Lewis number.

关键词： Walter-B Homogeneous and heterogeneous reaction Radiation Bioconvection Melting phenomena

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The attractor of the stochastic generalized Ginzburg-Landau equation

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Science China mathematics 2008年第5期51卷 955-964页

作者： GUO BoLing~1 WANG GuoLian~(2+) Li DongLong~3 1 Institute of applied physics and computational mathematics,P.O.Box 8009,Beijing 100088,China 2 The Graduate School of China Academy of Engineering physics,P.O.Box 2101,Beijing 100088,China 3 department of Information and Computer Science,Guangxi University of Technology,Liuzhou 545006,China Institute of Applied Physics Computational Mathematics P. O. Box 8009 Beijing 100088 China The Graduate School of China Academy of Engineering Physics P. O. Box 2101 Beijing 100088 China Department of Information Computer Science Guangxi University of Technology Liuzhou 545006 China

The stochastic generalized Ginzburg-Landau equation with additive noise can be solved pathwise and the unique solution generates a random system. Then we prove the random system possesses a global random attractor in ... 详细信息

关键词： generalized Ginzburg-Landau equation random dynamical systems random attractor 35K05

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