The main result of the paper is a classification of singularities of complex skew-symmetric matrix families of even size which are simple under a natural equivalence relation. The classification is obtained by appropriate suspensions of simple famili...
Motivated by the need to understand the factors driving gentrification, we introduce and analyze two simple dynamical systems that model the interplay between three potential drivers of the phenomenon. The constructed systems are based on the assumpt...
It is shown that the Mean Value Theorem for arithmetic functions, and simple properties of the zeta function are sufficient to assemble proofs of the Prime Number Theorem, and Dirichlet Theorem. These are among the simplest proofs of the asymptotic f...
In this work, a simple methodology to follow the behavior of motorized urban vehicles, from the point of view of personal finances, is presented. Including the acquisition of a new vehicle, the analysis considers the driving distance per week, the av...
Feb 4, 2026 · produce (third-person singular simple present produces, present participle producing, simple past and past participle produced) (transitive) To bring forth, to yield, make, manufacture, or …
Feb 15, 2026 · welcome (third-person singular simple present welcomes, present participle welcoming, simple past and past participle welcomed) To affirm or greet the arrival of someone, especially by …
Random walk is a very important Markov process and has important applications in many fields.For a one-dimensional simple symmetric random walk $(S_n)$, a site $x$ is called a favorite downcrossing site at time $n$ if its downcrossing local time at t...
In this paper, we study favorite sites of one-dimensional asymmetric simple random walks. We show that almost surely, for any fixed integer $r\geq 1$, ``$r$ favorite sites" occurs infinitely often. We also give the asymptotic growth rate of the numbe...
On the trace of a discrete-time simple random walk on $\mathbb{Z}^d$ for $d\geq 2$, we consider the evolution of favorite sites, i.e., sites that achieve the maximal local time at a certain time. For $d=2$, we show that almost surely three favorite s...
Oct 29, 2025 · Simple online calculator with memory functions similar to a basic handheld calculator. Free simple calculator for adding, subtracting, multiplying, dividing.
https://www.espn.com/nba/story/_/id/47266076/jason-collins-stage-4-glioblastoma --- A few months ago, my family released a short statement saying I had a brain tumor. It was simple, but intentionall...
pyenv for Windows. pyenv is a simple python version management tool. It lets you easily switch between multiple versions of Python. It's simple, unobtrusive, and follows the UNIX tradition of single-purpose tools that do one thing well. (⭐ 7035)
We prove Lojasiewicz inequalities for the harmonic map energy for maps from surfaces of positive genus into general analytic target manifolds which are close to simple bubble trees and as a consequence obtain new results on the convergence of harmoni...
Modern cyber security operations collect an enormous amount of logging and alerting data. While analysts have the ability to query and compute simple statistics and plots from their data, current analytical tools are too simple to admit deep understa...
Feb 21, 2026 · repurpose (third-person singular simple present repurposes, present participle repurposing, simple past and past participle repurposed) To reuse for a different purpose, on a …
Feb 10, 2026 · use (third-person singular simple present uses, present participle using, simple past and past participle used) To utilize or employ. Use this knife to slice the bread. We can use this …
Listen to Simple. Royalty-Free sound that is tagged as drums, dry, loop, and mixed. Download for FREE + discover 1000's of sounds.
Feb 21, 2026 · spray (third-person singular simple present sprays, present participle spraying, simple past and past participle sprayed) (transitive) To project a liquid in a dispersive manner toward …
We extend the approach in [Ann. Statist. 38 (2010) 2499-2524] for identifying locally optimal designs for nonlinear models. Conceptually the extension is relatively simple, but the consequences in terms of applications are profound. As we will demons...
Jan 20, 2026 · announce (third-person singular simple present announces, present participle announcing, simple past and past participle announced) (transitive) To give public notice of, …