Plank theorems and their applications: A survey
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley +1 more source
Improved Hybrid Percolation-Ultrasound Extraction of Bioactive Compounds and Their Application as Nettle and Sage-Derived Biostimulants in Tomato and Pepper Crops. [PDF]
FoodsTăbărașu AM +10 more
europepmc +1 more source
One‐level densities in families of Grössencharakters associated to CM elliptic curves
Mathematika, Volume 72, Issue 1, January 2026.Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
wiley +1 more source
Discontinuity Characterization and Low-Complexity Smoothing in RF-PA Polynomial Piecewise Modeling. [PDF]
Sensors (Basel)Pedrosa C +5 more
europepmc +1 more source
On new polynomials related to bell numbers and stirling numbers
, 2014 H. Y. Lee, C. S. Ryoo
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Full‐Spectrum Similarity of Repeating Trapdoor Faulting
Geophysical Research Letters, Volume 52, Issue 24, 28 December 2025.Abstract Volcanic activity in submarine calderas recurrently generates characteristic earthquakes on ring‐fault systems driven by magma‐induced stress. At Sumisu Caldera, trapdoor faulting has recurred quasi‐regularly, roughly at ∼10‐year intervals, generating earthquakes of moment magnitude 5.4–5.7 and producing tsunamis due to meter‐scale co‐seismic ...
Osamu Sandanbata, Shunsuke Takemura
wiley +1 more source
Explicit solutions of the generalized Kudryashov's equation with truncated M-fractional derivative. [PDF]
Sci RepGu M, Liu F, Li J, Peng C, Li Z.
europepmc +1 more source
On soliton solutions, periodic wave solutions and asymptotic analysis to the nonlinear evolution equations in (2+1) and (3+1) dimensions. [PDF]
Heliyon, 2023 Guo B, Fang Y, Dong H.
europepmc +1 more source
Novel closed-form travelling wave solutions for space-time fractional coupled Boussinesq-Burger model using extended direct algebraic method. [PDF]
Sci RepRadwan T +4 more
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Some convolution identities and an inverse relation involving partial\n Bell polynomials [PDF]
, 2012 Daniel Birmajer +2 more
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