Results 51 to 60 of about 1,153 (175)
Geophysical Research Letters, Volume 53, Issue 10, 28 May 2026.Abstract We report the detection of a traveling ionospheric disturbance (TID) captured by the Mars Advanced Radar for Subsurface and Ionosphere Sounding (MARSIS) Active Ionospheric Sounding (AIS) instrument aboard the Mars Express spacecraft at 150–250 km altitude.
Rong Tian +10 more
wiley +1 more source
Ecosphere, Volume 17, Issue 5, May 2026.Abstract Disease outbreaks have played important roles in structuring communities. Therefore, the ability of individuals within populations to resist disease and their corresponding immune and molecular‐scale traits may provide a basis for predicting community dynamics of ecosystems facing disease outbreaks.
Sara D. Williams +5 more
wiley +1 more source
RESULTS ON FINITE COLLECTION OF POLYGONS AND A PROOF OF THE JORDAN CURVE THEOREM
, 2022 We introduce the notion of polygons and Jordan curves. We first provide a proof of the Jordan Curve Theorem for polygons, and then we answer the following questions: given a finite collection of polygonal regions in the plane, can we write their union as
Pandelu, Shrivathsa
core
Cyclic quadrilaterals and smooth Jordan curves
, 2023 For every smooth Jordan curve γ and cyclic quadrilateral Q in the Euclidean plane, we show that there exists an orientation-preserving similarity taking the vertices of Q to γ.
Greene, Joshua Evan, Lobb, Andrew
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Boundary unique continuation in planar domains by conformal mapping
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
wiley +1 more source
Counting 5‐isogenies of elliptic curves over Q$\mathbb {Q}$
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We show that the number of 5‐isogenies of elliptic curves defined over Q$\mathbb {Q}$ with naive height bounded by H>0$H > 0$ is asymptotic to C5·H1/6(logH)2$C_5\cdot H^{1/6} (\log H)^2$ for some explicitly computable constant C5>0$C_5 > 0$. This settles the asymptotic count of rational points on the genus zero modular curves X0(m)$\mathcal {X}
Santiago Arango‐Piñeros +3 more
wiley +1 more source
Equilateral triangles on a Jordan curve and a generalization of a theorem of Dold
, 2008 Let γ:S1→R2 be a Jordan curve in the plane. It is a simple topological riddle to determine if there is an equilateral triangle with vertices on γ. By reformulating this question in the paradigm of configuration spaces and test maps, we can solve this ...
Blagojević, Pavle V.M. +2 more
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On Disks Enclosed by Smooth Jordan Curves
, 2023 Given a smooth-plane Jordan curve with bounded absolute curvature κ>0, we determine equivalence classes of distinctive disks of radius 1/κ included in both plane regions separated by the curve.
José Ayala Hoffmann, Victor Ayala
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On Gauge‐Invariant Entire Function Regulators and UV Finiteness in Non Local Quantum Field Theory
Annalen der Physik, Volume 538, Issue 4, April 2026.We regulate the theory with an entire function of the covariant operator F(□/M∗2)$F(\square /M^{2}_{*})$. In the perturbative vacuum this becomes a momentum‐space factor F(−p2/M∗2)$F(-p^{2}/M^{2}_{*})$ that exponentially damps high momenta, most transparent after Wick rotation, rendering loop integrals UV finite.
J. W. Moffat, E. J. Thompson
wiley +1 more source
, 2014 In mathematics, those statements that are intuitively obvious are often the most difficult ones to prove. One classic example is the Jordan Curve Theorem, which states, “A simple closed curve in the open plane has two complementary domains, of each of ...
Hiura, Evelyn
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