A note on irreducible Heegaard diagrams by Alberto Cavicchioli, Fulvia Spaggiari

“…We construct a Heegaard diagram of genus three for the real projective 3-space, which has no waves and pairs of complementary handles. …”
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Timelike W-Surfaces in Minkowski 3-Space ℝ13 and the Sinh-Gordon Equation by Nadia Alluhaibi, Rashad A. Abdel-Baky

“…Finally, a method to construct new timelike Weingarten surface has been found.…”
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SPDIEs and BSDEs Driven by Lévy Processes and Countable Brownian Motions by Pengju Duan

“…We prove the existence and uniqueness of the solutions to the backward stochastic differential equations by constructing Cauchy sequence and fixed point theorem. …”
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H(⋅,⋅)-Cocoercive Operator and an Application for Solving Generalized Variational Inclusions by Rais Ahmad, Mohd Dilshad, Mu-Ming Wong, Jen-Chin Yao

“…By using techniques of resolvent operator, a new iterative algorithm for solving generalized variational inclusions is constructed. Under some suitable conditions, we prove the convergence of iterative sequences generated by the algorithm. …”
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Existence and Global Attractivity of Positive Periodic Solutions for a Two-Species Competitive System with Stage Structure and Impulse by Changjin Xu, Daxue Chen

“…By using the continuation theorem of coincidence degree theory, we derive a set of easily verifiable sufficient conditions that guarantee the existence of at least a positive periodic solution, and, by constructing a suitable Lyapunov functional, the uniqueness and global attractivity of the positive periodic solution are presented. …”
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Eventually Periodic Solutions for Difference Equations with Periodic Coefficients and Nonlinear Control Functions by Chengmin Hou, Sui Sun Cheng

“…In this paper, we consider a class of difference equations of the form xn=anxn−1+bnf(xn−k), where {an},  {bn} are periodic sequences and f is a nonlinear filtering function, and show how periodic solutions can be constructed. Several examples are also included to illustrate our results.…”
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Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay by Fuzhen Wu, Dongfeng Li

“…This paper is concerned with the minimal wave speed of traveling wave solutions in a predator-prey system with distributed time delay, which does not satisfy comparison principle due to delayed intraspecific terms. By constructing upper and lower solutions, we obtain the existence of traveling wave solutions when the wave speed is the minimal wave speed. …”
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Existence of Optimal Control for a Nonlinear-Viscous Fluid Model by Evgenii S. Baranovskii, Mikhail A. Artemov

“…For a given bounded set of admissible controls, we construct generalized (weak) solutions that minimize a given cost functional.…”
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A cutting-plane method with internal iteration points for the general convex programming problem by I. Ya. Zabotin, K. E. Kazaeva, O. N. Shulgina

“…Its distinguishing feature is that the main sequence of approximations is constructed within the admissible region. At each step, it is also possible to assess how close the current value of the function is to the optimal value. …”
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A Modified Gradient Based Algorithm for Solving Matrix Equations AXB+CXTD=F by Kanmin Wang, Zhibing Liu, Chengfeng Xu

“…., 2010, the information generated in the first half-iterative step is fully exploited and used to construct the approximate solution. Theoretical analysis shows that the new method converges under certain assumptions. …”
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Biorthogonal Wavelet on a Logarithm Curve ℂ by Xiaohui Zhou, Gang Wang

“…According to the length-preserving projection and Euler discretization method, biorthogonal wavelet function on a smooth curve C is constructed in this paper, such as a logarithm curve. …”
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Dimension Spectrum for Sofic Systems by Jung-Chao Ban, Chih-Hung Chang, Ting-Ju Chen, Mei-Shao Lin

“…For finite-coordinate dependent positive matrix potential, we set up the entropy spectrum by constructing the quasi-Bernoulli measure and the cut-off method is applied to deal with the infinite-coordinate dependent case. …”
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3-Group Divisible Designs with 3 Groups and Block Size 5 by Zebene Girma Tefera, Dinesh G. Sarvate, Samuel Asefa Fufa

“…Some necessary conditions for the existence of these GDDs are developed, and several new constructions and specific instances of nonexistence are given.…”
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La fin de vers, laboratoire de l’œuvre poétique de l’artiste Josef Albers by Vincent Broqua

“…In his extended poetry, Albers constructed a new type of line between verse and prose to allow for an experience of the physicality of the text. …”
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Master of Arts in Education Management and Administration (MAEM) by Kabale University

“…It gives students a constructive platform for reflecting, researching, and writing about contemporary issues in educational settings.…”
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Existence of extremal periodic solutions for quasilinear parabolic equations by Siegfried Carl

“…The main tools used in the proof of our result are recently obtained abstract results on nonlinear evolution equations, comparison and truncation techniques and suitably constructed special testfunction.…”
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Unification of Two-Variable Family of Apostol-Type Polynomials with Applications by Beih S. El-Desouky, Rabab S. Gomaa, Alia M. Magar

“…Also, we obtain new degenerate Apostol-type numbers and polynomials constructed from the new 2-variable unified family. …”
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Abundant Interaction Solutions of Sine-Gordon Equation by DaZhao Lü, YanYing Cui, ChangHe Liu, ShangWen Wu

“…., Maple), abundant interaction solutions of sine-Gordon equation are obtained by means of a constructed Wronskian form expansion method. The method is based upon the forms and structures of Wronskian solutions of sine-Gordon equation, and the functions used in the Wronskian determinants do not satisfy linear partial differential equations. …”
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The Self, consciousness and communication by Rose Marie Rose Marie Bezuidenhout

“…Since an exploration of the nature of the self and its possible confluence with states and levels of consciousness necessitates a multidisciplinary approach, theories and constructs in Psychology, the New Physics (Quantum Physics), Mysticism, and Philosophy are integrated with contemporary communication notions of the self and consciousness. …”
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Standard Model Effective Potential from Trace Anomalies by Renata Jora

“…By analogy with the low energy QCD effective linear sigma model, we construct a standard model effective potential based entirely on the requirement that the tree level and quantum level trace anomalies must be satisfied. …”
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