A Family of Derivative-Free Methods with High Order of Convergence and Its Application to Nonsmooth Equations by Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa

“…Also, numerical examples are used to show the performance of the presented methods, on smooth and nonsmooth equations, and to compare with other derivative-free methods, including some optimal fourth-order ones, in the sense of Kung-Traub’s conjecture.…”
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Holographic Description of Noncommutative Schwinger Effect by Udit Narayan Chowdhury

“…Using Maldacena’s holographic conjecture, the threshold electric field for pair production is computed from the quark/antiquark potential for noncommutative theories. …”
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Some results on value distribution concerning Hayman's alternative by Zhuang Xinyu, Zheng Ruilin, He Zhiying, Fang Mingliang

“…We extend and improve some results due to Zhu [A far-reaching form of Hayman’s inequality; fixed points of meromorphic functions and their derivatives, Kexue Tongbao (Chinese) 31 (1986), no. 11, 801–804], Hua and Chuang [On a conjecture of Hayman, Acta Math. Sinica (N.S.) 7 (1991), no. 2, 119–126], and Charak and Singh [A value distribution result related to Hayman’s alternative, Commun. …”
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On the acyclic point-connectivity of the n-cube by John Banks, John Mitchem

“…We show that the upper bound is obtained for n≤8 and conjecture that it is obtained for all n.…”
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A reaction-diffusion system modeling the spread of resistance to an antimalarial drug by Nicolas Bacaër, Cheikh Sokhna

“…Based on a linearization study and on numerical simulations,an expression for the speed at which resistancespreads is conjectured. It dependson the ratio of the two basic reproduction numbers,on a coefficient representing the diffusion of mosquitoes,on the death rate of mosquitoes infected by resistant parasites,and on the recovery rate of nonimmune humans infected by resistant parasites.…”
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The Periodicity of Entire Functions with Finite Order by Zhiguo Ren, Guoqiang Dang

“…These results extend Yang’s conjecture.…”
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Optimal Sixteenth Order Convergent Method Based on Quasi-Hermite Interpolation for Computing Roots by Fiza Zafar, Nawab Hussain, Zirwah Fatimah, Athar Kharal

“…As this method requires four function evaluations and one derivative evaluation at each step, it is optimal in the sense of the Kung and Traub conjecture. The comparisons are given with some other newly developed sixteenth-order methods. …”
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On the Laplacian Coefficients and Laplacian-Like Energy of Unicyclic Graphs with n Vertices and m Pendent Vertices by Xinying Pai, Sanyang Liu

“…In this paper, we give four transforms on graphs that decrease all Laplacian coefficients ck(G) and investigate a conjecture A. Ilić and M. Ilić (2009) about the Laplacian coefficients of unicyclic graphs with n vertices and m pendent vertices. …”
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Finite volume expectation values in the sine-Gordon model by Árpád Hegedűs

“…In the ultraviolet limit, we checked our results against Liouville 3-point functions, while in the infrared limit, we evaluated our formulas in the semi-classical limit and compared them up to 2-particle contributions against the semi-classical limit of the previously conjectured LeClair-Mussardo type formula. Complete agreement was found in both cases.…”
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Relapsing Depression in Paramedian Thalamic Infarctions by R. W. Baumgartner, T. Landis, M. Regard

“…Thalamic infarctions have been shown to mimic a variety of higher functional deficits, such as aphasias, apraxias and attentional disorders, traditionally associated with hemispheric strokes. We conjecture that the paramedian thalamic infarctions observed in our patient have in a similar manner been responsible for the transient depression.…”
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Some recent developments on linear determinacy by Carlos Castillo-Chavez, Bingtuan Li, Haiyan Wang

“…The so-called``linear determinacy'' conjecture equates full nonlinearmodel spread rates with the spread rates computed from linearized systems with the linearization carried out around the leadingedge of the invasion. …”
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Growth of a Renormalized Operator as a Probe of Chaos by Xing Huang, Binchao Zhang

“…We propose that the size of an operator evolved under holographic renormalization group flow shall grow linearly with the scale and interpret this behavior as a manifestation of the saturation of the chaos bound. To test this conjecture, we study the operator growth in two different toy models. …”
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The massless S-matrix of integrable σ-models by George Georgiou

“…Namely, in well-known 2-d integrable models the tree-level massless S-matrix exhibits particle production and fails to factorise. This is conjectured to happen due to IR ambiguities in the massless tree-level amplitudes. …”
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On a New Three-Step Class of Methods and Its Acceleration for Nonlinear Equations by T. Lotfi, K. Mahdiani, Z. Noori, F. Khaksar Haghani, S. Shateyi

“…Therefore, it is an optimal three-step scheme without memory based on Kung-Traub conjecture. Moreover, the proposed class has an accelerator parameter with the property that it can increase the convergence rate from eight to twelve without any new functional evaluations. …”
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Optimal Estimators for Threshold-Based Quality Measures by Aaron Abrams, Sandy Ganzell, Henry Landau, Zeph Landau, James Pommersheim, Eric Zaslow

“…We prove that for distributions on a compact space, there is always an optimal estimator that is translation invariant, and we conjecture that this conclusion also holds for any distribution on ℝ. …”
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Modalisations a priori et a posteriori : le cas de would by Paul Larreya

“….), as in I’d think you’re right and (ii) in contexts which can be called ‘conjectural-factual’ (as in I can’t believe he would do this to me). …”
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Economia social e solidária e empoderamento feminino by Vanêssa Pereira Simon, Sérgio Luis Boeira

“…The approach, therefore, seeks to conjecture about a possibility to offer entrepreneur women a more coherent perspective with the proposals of the SSE.…”
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A Class of Three-Step Derivative-Free Root Solvers with Optimal Convergence Order by F. Soleymani, S. Karimi Vanani, M. Jamali Paghaleh

“…Each method of the class reaches the optimal efficiency index according to the Kung-Traub conjecture concerning multipoint iterative methods without memory. …”
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Modular invariance and thermal effective field theory in CFT by Kuroush Allameh, Edgar Shaghoulian

“…Abstract We use thermal effective field theory to derive that the coefficient of the first subleading piece of the thermal free energy, c 1, is equal to the coefficient of the subleading piece of the Casimir energy on S 1 × S d−2 for d ≥ 4. We conjecture that this coefficient obeys a sign constraint c 1 ≥ 0 in CFT and collect some evidence for this bound. …”
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Floer homology and non-fibered knot detection by John A. Baldwin, Steven Sivek

“…These include a proof that $0$ -surgery characterizes infinitely many knots, generalizing results of Gabai from his 1987 resolution of the Property R Conjecture.…”
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