The Baker–Schmidt problem for dual approximation and some classes of manifolds by Hussain, Mumtaz, Schleischitz, Johannes

“…Our method requires the manifold to have even dimension at least the minimum of four and half the dimension of the ambient space. We conjecture that these restrictions on the dimension of the manifold are sufficient to provide similar examples in general.…”
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a*-families of analytic functions by G. P. Kapoor, A. K. Mishra

“…Finally, it is shown that Zmorvic conjecture is true if the concerned families consist of functions with negative coefficients.…”
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Quadratic forms in $I^n$ of dimension $2^n+2^{n-1}$ by Harvey, Curtis R., Karpenko, Nikita A.

“…For $n\ge 3$, confirming a weak version of a conjecture of Hoffmann, we show that every anisotropic quadratic form in $I^n$ of dimension $2^n+2^{n-1}$ splits over a finite extension of the base field of degree not divisible by $4$. …”
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On common fixed points, periodic points, and recurrent points of continuous functions by Aliasghar Alikhani-Koopaei

“…However, it is not known if such two functions have a common periodic point. we had conjectured that two commuting continuous functions on an interval will typically have disjoint sets of periodic points. …”
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Workflow Modelling and Analysis Based on the Construction of Task Models by Glória Cravo

“…Finally, we provide a counter-example which shows that a conjecture presented in a previous article is false.…”
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Global Asymptotic Stability of a Family of Nonlinear Difference Equations by Maoxin Liao

“…Our result generalizes the corresponding results in the recent literature and simultaneously conforms to a conjecture in the work by Berenhaut et al. (2007).…”
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Optimal Algorithms for Nonlinear Equations with Applications and Their Dynamics by Amir Naseem, M. A. Rehman, Nasr Al Din Ide

“…Among these algorithms, the second one is optimal according to Kung-Traub’s conjecture. It is established that the newly proposed algorithms bear the fourth- and sixth-order of convergence. …”
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Natural Factorization of Linear Control Systems through Parallel Gathering of Simple Systems by M. V. Carriegos

“…Hence, decomposition result is fulfilled for linear systems and feedback morphisms, but category of reachable linear systems is not abelian semisimple because it is not balanced and hence fails to be abelian. Finally, it is conjectured that the category of linear systems and feedback actions is in fact semiabelian; some threads to find the result and consequences are also given.…”
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The uniqueness of limit cycles in a predator-prey system with Ivlev-type group defense by Jin Liao, André Zegeling, Wentao Huang

“…Chaos, 11 (2001). We proved their conjecture that the system can exhibit at most one limit cycle. …”
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Interesting Examples of Violation of the Classical Equivalence Principle but Not of the Weak One by Antonio Accioly, Wallace Herdy

“…The equivalence principle (EP) and Schiff’s conjecture are discussed en passant, and the connection between the EP and quantum mechanics is then briefly analyzed. …”
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Issues at the Rural-Urban Fringe: Florida's Population Growth, 2004-2010 by Rodney L. Clouser, Hank Cothran

“…These specific issues are not addressed in this fact sheet but left to the conjecture of the reader based on the data presented.  …”
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On the space of 2d integrable models by Lukas W. Lindwasser

“…Along the way, we find several new sequences of commuting charges, which we conjecture are charges of integrable models which are new deformations of a single scalar. …”
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Nutrition and Crohn's Disease: An Overview by C Ó'Moráin

“…How an elemental diet achieves this result is conjectural, but it is unlikely that its action is solely nutritional, as the patient improves before nutritional parameters improve. …”
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Effects of Quintessence Dark Energy on the Action Growth and Butterfly Velocity by Hossein Ghaffarnejad, Mohammad Farsam, Emad Yaraie

“…We use “complexity=action” conjecture for a charged AdS black hole surrounded by the dark energy at the quintessence regime. …”
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Why the Length of a Quantum String Cannot Be Lorentz Contracted by Antonio Aurilia, Euro Spallucci

“…We show how our results are consistent with (i) the generalized form of the uncertainty principle (GUP), (ii) the so-called hoop-conjecture, and (iii) the intriguing notion of “classicalization” of trans-Planckian physics. …”
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Future Generations in Climate Litigation: Early Whispers of an Intergenerational Law? by Alessandro Drigo

“…The Article culminates in an exploration of the possible interplay between the legal significance of future generations and the extension of the law’s temporal horizon. This conjectural postulation is substantiated through select historical precedents.…”
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The 3𝑥+1 Problem as a String Rewriting System by Joseph Sinyor

“…This approach enables the conjecture to be recast as two assertions. (I) Every odd 𝑛∈𝐍 lies on a distinct 3𝑥+1 trajectory between two Mersenne numbers (2𝑘−1) or their equivalents, in the sense that every integer of the form (4𝑚+1) with 𝑚 being odd is equivalent to 𝑚 because both yield the same successor. …”
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Vrye Weekblad and Post·Apartheid Mania by Keyan Tomaselli, Eric Louw

“…Rather, It should be seen as a critical analysis of comtemporary conjecture surrounding literature pertaining to this specific topic. …”
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Entropic Entanglement: Information Prison Break by Alexander Y. Yosifov, Lachezar G. Filipov

“…Hence, by treating gravity as a field theory and considering its coupling to the matter fields in the Minkowski vacuum, we derive the conjectured fluctuations of the background geometry of a black hole.…”
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The Ethnic Hierarchy of the Taxi Industry: Structural Changes and Social Mobility Among Migrant Drivers by Helga Hiim Stålhane

“…Building on these findings, I conjecture about how current deregulations can alter the ethnic hierarchy, but simultaneously limit paths to social mobility.…”
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