Results 21 to 30 of about 2,846 (143)
3D investigation and modeling of the geometric effects on porosity in packed beds
AIChE Journal, Volume 72, Issue 5, May 2026.Abstract In porous beds, physical boundaries restrict particle arrangement, leading to inhomogeneous porosity. This paper reports on the porosity profiles that are the result of geometric effects on monodisperse packed beds in cylindrical and cubic arrangements. Special focus is given to the influence of edges and corners in cubic geometries.
Bastian Oldach +3 more
wiley +1 more source
An application of Baker's method to the Je\'smanowicz' conjecture on primitive Pythagorean triples
, 2018 Let $m$, $n$ be positive integers such that $m>n$, $\gcd(m,n)=1$ and $m \not\equiv n \bmod 2$. In 1956, L. Je\'smanowicz \cite{Jes} conjectured that the equation $(m^2 - n^2)^x + (2mn)^y = (m^2+n^2)^z$ has only the positive integer solution $(x,y,z) = (2,
Le, Maohua
core +1 more source
Sublinear bilipschitz equivalence and the quasiisometric classification of solvable Lie groups
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We prove a product theorem for sublinear bilipschitz equivalences which generalizes the classical work of Kapovich, Kleiner, and Leeb on quasiisometries between product spaces. We employ our product theorem to distinguish up to quasiisometry certain families of solvable groups which share the same dimension, cone‐dimension and Dehn function ...
Ido Grayevsky, Gabriel Pallier
wiley +1 more source
How to generate all integral triangles containing a given angle
International Journal of Mathematics and Mathematical Sciences, 2000 We present an elementary prescription based on the rational secant method for generating all the integral triangles containing a given angle of rational cosine.
Nelson Petulante, Ifeoma Kaja
doaj +1 more source
Graph‐Theory Approach to Element Miscibility and Alloy Design
Advanced Science, Volume 13, Issue 16, 18 March 2026.Graph and network theory enables pathway toward complex multiscale interactions between different elements for alloy design or interface engineering. Utilizing element's inherent properties and preferential interactivity, favorable mixed material formation, solubility and miscibility can be predicted.
Andrew Martin +6 more
wiley +1 more source
Levels of Distribution and the Affine Sieve
, 2014 This article is an expanded version of the author's lecture in the Basic Notions Seminar at Harvard, September 2013. Our goal is a brief and introductory exposition of aspects of two topics in sieve theory which have received attention recently: (1) the ...
Kontorovich, Alex
core +2 more sources
Osculating geometry and higher‐order distance Loci
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We discuss the problem of optimizing the distance function from a given point, subject to polynomial constraints. A key algebraic invariant that governs its complexity is the Euclidean distance degree, which pertains to first‐order tangency. We focus on the data locus of points possessing at least one critical point of the distance function ...
Sandra Di Rocco +2 more
wiley +1 more source
An Extended Kannan Contraction Mapping and Applications [PDF]
International Journal of Mathematical, Engineering and Management SciencesWe extend the Kannan contraction principle and obtain a result that holds for both contractive and non-expansive mappings. Such mappings admit multiple fixed-points and the fixed-point sets and domains of these mappings display interesting algebraic ...
R. P. Pant
doaj +1 more source
A Survey on the Ternary Purely Exponential Diophantine Equation $a^x + b^y = c^z$ [PDF]
, 2018 Let $a$, $b$, $c$ be fixed coprime positive integers with $\min\{a,b,c\}>1$. In this survey, we consider some unsolved problems and related works concerning the positive integer solutions $(x,y,z)$ of the ternary purely exponential diophantine equation ...
Le, Maohua, Scott, Reese, Styer, Robert
core +1 more source
ChemBioChem, Volume 27, Issue 1, January 2026.At the intersection of chemical biology, plant imaging, and contemporary art, this review introduces the concept of chembioart. By tracing how chemical reporters illuminate plant biomolecules in vivo, their role not only in advancing scientific understanding but also in inspiring transdisciplinary collaborations and visual expression is highlighted ...
Marie Hinnebo +4 more
wiley +1 more source