Results 101 to 110 of about 250,699 (239)
Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
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Harmonic measure in convex domains [PDF]
Bulletin of the American Mathematical Society, 1989 The following theorem is proved: For a given probability measure \(\mu\) on \(S^ n\) of the form \(d\mu =Rd\vartheta\) (R smooth and positive) there exists a strictly convex domain \(\Omega\) \(\subset {\mathfrak R}^{n+1}\) containing the origin, with smooth boundary, such that for each \(E\subset S^ n\) \[ \omega (g^{-1}(E))=\mu (E), \] where g is the
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Droplet, EarlyView.Curved hydrophobic mesh surfaces enable stable release of large droplets exceeding the capillary length. By tuning surface curvature, porosity, and acceleration, oscillatory breakup is suppressed, producing near‐spherical droplets ideal for high‐precision fluid applications and multiphase flow control.
Aqeel Almanashi +6 more
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Hereditary convexity for harmonic homeomorphisms [PDF]
Indiana University Mathematics Journal, 2015 We study hereditary properties of convexity for planar harmonic homeomorphisms on a disk and an annulus. A noteworthy class of examples with the hereditary property arises fromenergy-minimal diffeomorphismsof an annulus, whoseex- istence was established in (9,11).
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ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.A scalable densification strategy is proposed by incorporating sucrose into a fluoropolymer matrix to build a robust hydrogen‐bond crosslinking network. The intermolecular interactions effectively facilitate polar phase transformation and reduce free volume fraction.
Lingni Yang +11 more
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Convexity properties of harmonic measures
Advances in Mathematics, 2008 Let \(U\) be an open set in \(\mathbb{R}^d,d\geq 2\) and let \(E\) be a Borel set on the boundary of \(U\). Let \(u\) be the harmonic function in \(U\) with \(u=\chi_E\) on \(\partial U\). For \(x\in U\), we set \(\mu_x^U(E)=u(x)\). As a function of \(E\), \(\mu_x^U\) is a Borel measure on \(\partial U\) called the harmonic measure of \(E\).
Hansen, Wolfhard, Netuka, Ivan
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Earthquake Engineering &Structural Dynamics, EarlyView.ABSTRACT In current dynamic time history assessment protocols, ground motion recordings are mostly oriented along fixed sensor directions. Consequently, the orientation of the principal resultant of rupture energy, which may control the maximum structural demand, remains undefined, precluding consistent correlation with physically detrimental ...
Santiago Londono‐Lopez +4 more
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Fractional Hermite–Hadamard type inequalities for interval-valued functions
Journal of Inequalities and Applications, 2019 We introduce the concept of interval harmonically convex functions. By using two different classes of convexity, we get some further refinements for interval fractional Hermite–Hadamard type inequalities. Also, some examples are presented.
Xuelong Liu +3 more
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JEADV Clinical Practice, EarlyView.ABSTRACT Artificial Intelligence is rapidly transforming allergology by enhancing diagnosis, risk prediction, automation, patient communication, education, and therapy development. Machine learning approaches, including convolutional neural networks, recurrent architectures, and transformer‐based models, enable analysis of complex datasets from ...
Sebastian Seurig +2 more
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, 2020 Inthispaper,weprovedtwonewRiemann–LiouvillefractionalHermite–Hadamardtypeinequalitiesfor harmonically convex functions using the left and right fractional integrals independently.
Kunt, Mehmet +2 more
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