Results 91 to 100 of about 9,082,759 (197)

The Interplay of Curvature, Geometry, and Topology Shapes Tissue Organisation in Epithelial Shells

Advanced Science, EarlyView.
Purely geometric 3D Voronoi models predict the organisation of epithelial shells. The interplay of curvature, geometry, and topology enriches the number of pentagons in shells with lower number of cells. Small MDCK cysts and Mouse embryos match the top polygonal configurations in a compactness‐based ranking derived from the Voronoi model. In conclusion,
Laura Morato, Jesús A. Andrés‐San Román, Juan Garrido‐García, Carmen Gordillo‐Vázquez, Ana M. Palacios, Elisabeth Lidueña‐Fernández, Katie McDole, Pedro Gómez‐Gálvez, Valentina Annese, Luis M. Escudero   +9 more
wiley   +1 more source

Visualization techniques for proofs: Implications for enhancing conceptualization and understanding in mathematical analysis

Journal of Honai Math
Visual images are frequently utilized to elucidate concepts in general mathematics and geometry; however, their application in mathematical analysis remains uncommon. This paper demonstrates how visual imagery can enhance the proof of certain theorems in
Jonatan Muzangwa, Ugorji Ogbonnaya
doaj   +1 more source

Analytical Prediction of Critical Transitions in Oscillator Networks With Non‐Local Links

Advanced Science, EarlyView.
An analytical framework reveals how global coupling, second‐harmonic strength, noise, and network structure govern oscillator‐based Ising dynamics. Spectral reduction predicts stability boundaries, while Fokker–Planck analysis captures one‐ to two‐cluster transitions and identifies conditions favoring low‐energy configurations.
Qiang Li, Chumin Sun, David Waxman, Renaud Lambiotte, Jie Sun, Peng Ji   +5 more
wiley   +1 more source

Combinatorial Survey of Structural Phase Distribution and Magnetism in Fe‐Ge‐Te Composition‐Spread Thin Film Libraries

Advanced Electronic Materials, EarlyView.
ABSTRACT Magnetic 2‐dimensional (2D) van der Waals (vdW) materials have garnered tremendous attention. The vdW ferromagnet Fe5Ge1Te2 has a Curie temperature Tc of ≈ 270 K, which is tailorable by tuning the stoichiometry and the Fe deficiency to reach room temperature.
Chih‐Yu Lee, Takahiro Yamazaki, Peng Yan, Ryan Kim, Masato Kotsugi, Efrain E. Rodriguez, Joseph W. Bennett, Ichiro Takeuchi   +7 more
wiley   +1 more source

Functions of bounded generalized fractional differential variation: Results and examples

Examples and Counterexamples
In this paper, improved composition formula for Riemann–Liouville fractional integrals, generalized mean value theorem for Caputo fractional derivatives and generalized Taylor’s formula are proved.
Sudhir Kumar, Jyotindra Prajapati
doaj   +1 more source

Integral mean value theorem

, 2008
CalculusThe integral mean value theorem (a corollary of the intermediate value theorem) states that a function continuous on an interval takes on its average value somewhere in the interval.
Boucher, Chris
core  

Prediction of Structural Stability of Layered Oxide Cathode Materials: Combination of Machine Learning and Ab Initio Thermodynamics

Advanced Energy Materials, EarlyView.
In this work, we developed a phase‐stability predictor by combining machine learning and ab initio thermodynamics approaches, and identified the key factors determining the favorable phase for a given composition. Specifically, a lower TM ionic potential, higher Na content, and higher mixing entropy favor the O3 phase.
Liang‐Ting Wu, Milica Zdravković, Dijana Milosavljević, Konstantin Köster, Olivier Guillon, Jyh‐Chiang Jiang, Payam Kaghazchi   +6 more
wiley   +1 more source

Mean-Value Theorem

, 2013
Запропоновано новий підхід до класичної теореми про середнє, в якому замість одного середнього значення використано два. Цей підхід має особливе значення для комплексних функцій, оскільки для них не існує подібних теорем.We propose a new approach to the ...
Трохимчук, Ю.Ю.
core   +1 more source

Pricing Dynamics in the US Hemp Market: A Vertical Price Transmission Analysis of the Hemp Value Chain

Agribusiness, EarlyView.
ABSTRACT The US hemp market is a new and nascent industry that has been devoid of research for about half a century. This study examined the effects of exogenous shock on price at each phase of the value chain—Farm (hemp biomass), and its impact on prices at other phases of the value chain—Intermediary Processor (crude cannabidiol hemp) and Final ...
Solomon Odiase, Tyler Mark, Patalee Buddhika Appuhamilage   +2 more
wiley   +1 more source

Infinitely many securities and the fundamental theorem of asset pricing [PDF]

, 2004
Several authors have pointed out the possible absence of martingale measures for static arbitrage-free markets with an infinite number of available securities.
Balbás, Alejandro, Downarowicz, Anna
core   +1 more source