stassa/louise
Polynomial-time Meta-Interpretive Learning (⭐ 134)
The Go model revisited: Native structure and the geometric coupling between local and long…
Monte Carlo simulations show that long-range interactions play a major role in determining the folding rates of 48-mer three-dimensional lattice polymers modelled by the Go potential. For three target structures with different native geometries we...
On Sinai billiards on flat surfaces with non-flat horns
We show that certain billiard flows on planar billiard tables with horns can be modeled as suspension flows over Young towers with exponential tails. Because the height function of the suspension flow itself is polynomial when the horns are Torricell...
Nonequilibrium Phenomena in Confined Systems
Keywords: nonequilibirum phenomena; diffusion in confined systems; dynamics and relaxation in confined systems; entropic transport in confined systems; ion and polymer translocation; forces induced by fluctuations; confined active mater; macromolecul...
Simplicity in Eulerian Circuits: Uniqueness and Safety
An Eulerian circuit in a directed graph is one of the most fundamental Graph Theory notions. Detecting if a graph $G$ has a unique Eulerian circuit can be done in polynomial time via the BEST theorem by de Bruijn, van Aardenne-Ehrenfest, Smith and Tu...
An explicit exponential time integrator based on Faber polynomials and its application to…
Exponential time integrators have been applied successfully in several physics-related differential equations. However, their application in hyperbolic systems with absorbing boundaries, like the ones arising in seismic imaging, still lacks theoretic...
Quantitative expansivity for ergodic $\mathbb{Z}^d$ actions
We study expansiveness properties of positive measure subsets of ergodic $\mathbb{Z}^d$-actions along two different types of structured subsets of $\mathbb{Z}^d$, namely, cyclic subgroups and images of integer polynomials. We prove quantitative expan...
Finite Automata Encoding Piecewise Polynomials
Finite automata are used to encode geometric figures, functions and can be used for image compression and processing. The original approach is to represent each point of a figure in $\mathbb{R}^n$ as a convolution of its $n$ coordinates written in so...
jieter/Leaflet.encoded
Plugin to support Google's polyline encoding in Leaflet. (⭐ 176)
Diffraction microstrain in nanocrystalline solids under load - heterogeneous medium approa…
This is an account of the computation of X-ray microstrain in a polycrystal with anisotropic elasticity under uniaxial external load. The results have been published in the article "Microstrain in nanocrystalline solids under load by virtual diffract...
The Deep Arbitrary Polynomial Chaos Neural Network or how Deep Artificial Neural Networks…
Artificial Intelligence and Machine learning have been widely used in various fields of mathematical computing, physical modeling, computational science, communication science, and stochastic analysis. Approaches based on Deep Artificial Neural Netwo...
Descent polynomials for k bubble-sortable permutations of type B
Motivated by the work of Chung, Claesson, Dukes, and Graham, we define a natural type B analog of the classic bubble sort, and use it to define a type B analog of the maximum drop statistic. We enumerate (by explicit, recursive, and generating functi...
A bijection between rooted planar maps and generalized fighting fish
The class of fighting fish is a recently introduced model of branching surfaces generalizing parallelogram polyominoes. We can alternatively see them as gluings of cells, walks on the square lattice confined to the quadrant or shuffle of Dyck words....
On Ternary Trees and Fighting Fish
Fighting fish is a combinatorial configuration introduced by Duchi et al. as a new model of branching surfaces that generalizes directed convex polyominoes. We come up with an alternative construction of fighting fish, using a tree structure built on...
Transcendental Functions with a Complex Twist
In our previous paper, Real Polynomials with a Complex Twist [see http://archives.math.utk.edu/ICTCM/VOL28/A040/paper.pdf], we used advancements in computer graphics that allow us to easily illustrate more complete graphs of polynomial functions that...
Metric Diophantine approximation on fractals
Inspired by a problem proposed by Mahler, we will address the following related question, 'How well can irrationals in a missing digit set be approximated by rationals with polynomial denominators?' and prove some related results. To achieve this, we...
zebulon44/Mes-premi-res-cr-ations
<!doctype html> <html> <head> <link rel="stylesheet" href="style.css"> <body> <h1> Bienvenue :) </h1> <p> Bienvenue a toi sur mon site internet<br> ici,je vais te parler de tout et de n'importe quoi<br> mais surtout de vélo. </p> <br> <strong>Géométrie / prise en main :</strong>…
Gaussian Processes for Local Polynomial Forecasting of Time Series
Non-stationary time series with non-linear trends are frequently encountered in applications. We consider here the feasibility of accurately forecasting the signals of multiple such time series considering jointly when the number of historic samples...
Magnetically tunable rf wave absorption in polycrystalline La0.67Ba0.33MnO3
We investigated temperature and magnetic field dependent radio-frequency electromagnetic absorption in La0.67Ba0.33MnO3 by monitoring changes in resonance frequency (fr) and current (II) through a LC resonant circuit powered by an integrated chip o...
Ununfoldable Polyhedra with Convex Faces
Unfolding a convex polyhedron into a simple planar polygon is a well-studied problem. In this paper, we study the limits of unfoldability by studying nonconvex polyhedra with the same combinatorial structure as convex polyhedra. In particular, we g...