On a thin set of integers involving the largest prime factor function by Jean-Marie De Koninck, Nicolas Doyon

“…We also investigate small and large gaps among the elements of S and state some conjectures.…”
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Fixation Probabilities on Complete Star and Bipartite Digraphs by Chunming Zhang, Yingjiang Wu, Wanping Liu, Xiaofan Yang

“…A numerical method for fixed population structure (by solving a linear system) is developed to calculate the fixation probabilities on complete bipartite digraphs (CBDs), and some conjectures are finally given through simulations.…”
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Multistability, oscillations and bifurcations in feedback loops by Maria Conceição A. Leite, Yunjiao Wang

“…Interestingly, our results are consistent with Thomas' conjectures although we assume each node in the network undergoes a decay, which corresponds to a negative loop in Thomas' setting. …”
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Epigenetics: The New Frontier in the Landscape of Asthma by Bharti Chogtu, Dipanjan Bhattacharjee, Rahul Magazine

“…This has led to many theories and conjectures. However, none of the scientific disciplines have been able to provide the missing links in the chain of asthma pathogenesis. …”
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Doubling constructions and tensor product L-functions: coverings of the symplectic group by Eyal Kaplan

“…Our global results are subject to certain conjectures, but when $k=1$ they are unconditional for all m. …”
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Relations between the distinguishing number and some other graph parameters by Bahman Ahmadi, Seyed Alireza Talebpour Shirazi Fard

“…We also propose some conjectures and discuss about some future research directions in this topic.…”
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Scoring rubric design to measure the ability to prove plane geometry problems not accompanied by image visualization by I Putu Wisna Ariawan, I Made Ardana, Dewa Gede Hendra Divayana, I Made Sugiarta

“…These include sub-aspects of image accuracy and completeness of labels, initial steps of proving, preparation of conjectures, flow of proving, and support for valid arguments for statements made. …”
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Logarithmic loop corrections, moduli stabilisation and de Sitter vacua in string theory by Ignatios Antoniadis, Yifan Chen, George K. Leontaris

“…Our result avoids no-go theorems of perturbative stabilisation due to runaway potentials, in a way similar to the Coleman-Weinberg mechanism, and provides a counter example to one of the swampland conjectures concerning de Sitter vacua in quantum grav- ity, once string loop effects are taken into account; it thus paves the way for embedding the Standard Model of particle physics and cosmology in string theory.…”
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Finding product sets in some classes of amenable groups by Dimitrios Charamaras, Andreas Mountakis

“…In [15], using methods from ergodic theory, a longstanding conjecture of Erdős (see [5, Page 305]) about sumsets in large subsets of the natural numbers was resolved. …”
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Evaluation of the Fluctuation Mechanism of Behavioral Financial Market Based on Edge Computing by Xiaoliang Yuan

“…With the development of the stock market, traditional financial theories and behavioral financial theories continue to converge, and traditional financial theories based on investor rationality and efficient market assumptions are subject to unprecedented conjectures. Financial markets are affected by subjective factors such as people’s behaviors and emotions. …”
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Global dynamics for two-species competition in patchy environment by Kuang-Hui Lin, Yuan Lou, Chih-Wen Shih, Tze-Hung Tsai

“…It has previously been conjectured by Gourley and Kuang that the species that can concentrate its birth in a single patch wins if the diffusion rate is large enough, and two species will coexist if the diffusion rate is small. …”
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Fast algorithms for classical specifications of stabiliser states and Clifford gates by Nadish de Silva, Wilfred Salmon, Ming Yin

“…These core functions are also used in the numerical experiments critical to formulating and testing mathematical conjectures on the stabiliser formalism. We develop novel mathematical insights concerning stabiliser states and Clifford gates that significantly clarify their descriptions. …”
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„Afacerea” Mihai Călin – un episod pitoresc al vieții literare la sfârșitul anilor șaizeci by Nicolae Bârna

“…Les causes et les circonstances de cette bizarre mystification demeurent inconnues, mais le canular donne lieu à un commentaire formé d’hypothèses, de conjectures et supputations, de présupposés et inductions, d’ailleurs prudents et réservés, qui, sans prétendre d’élucider l’énigme, situe l’étrange incident dans l’atmosphère historico-littéraire de l’époque en question.…”
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The Alterations in the Brain Corresponding to Low Back Pain: Recent Insights and Advances by Xuyang Li, Fancheng Meng, Wenye Huang, Yue Cui, Fanbo Meng, Shengxi Wu, Hui Xu

“…Based on existing clinical studies that chronic pain problems were accompanying alterations in brain structures and functions, researchers proposed logical conjectures that similar alterations occur in LBP patients as well. …”
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Block-Graceful Designs by Dilara Erdemir, Emre Kolotoğlu

“…We complete the article with some open problems and conjectures.…”
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Modeling some properties of circadian rhythms by Miguel Lara-Aparicio, Carolina Barriga-Montoya, Pablo Padilla-Longoria, Beatriz Fuentes-Pardo

“…From theinteraction of biology and mathematics, new problems have emerged that havegenerated advances in the theory, suggested further experimental work andmotivated plausible conjectures. From our perspective, it is absolutelynecessary to incorporate modeling tools in the study of circadian rhythmsand that without a solid mathematical framework a real understanding of themwill not be possible. …”
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Why is it so difficult to understand why we don’t understand human systemic lupus erythematosus? Contemplating facts, conflicts, and impact of “the causality cascade paradigm”... by Ole Petter Rekvig, Ole Petter Rekvig

“…In attempts to understand systemic lupus erythematosus (SLE), we find ourselves in the intellectual cross-point between nosology, pathogenicity-oriented science, philosophy, empiricism, and qualified conjectures. A vital consequence in science theory is that scientific hypotheses that are not critically investigated are in danger of being transformed into scientific dogmas1. …”
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Monotonicity of a Key Function Arised in Studies of Nematic Liquid Crystal Polymers by Hongyun Wang, Hong Zhou

“…Previously, it was conjectured that the function is strictly decreasing and the conjecture was numerically confirmed. …”
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Finiteness of rank for Grassmann convexity by Saldanha, Nicolau, Shapiro, Boris, Shapiro, Michael

“…The Grassmann convexity conjecture, formulated in [8], gives a conjectural formula for the maximal total number of real zeroes of the consecutive Wronskians of an arbitrary fundamental solution to a disconjugate linear ordinary differential equation with real time. …”
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Global Attractor of Solutions of a Rational System in the Plane by Miron B. Bekker, Martin J. Bohner, Hristo D. Voulov

“…Here we confirm this conjecture, subject to an additional assumption.…”
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