There have been recently several works studying the regularized stochastic heat equation (SHE) and Kardar-Parisi-Zhang (KPZ) equation in dimension $d\geq 3$ as the smoothing parameter is switched off, but most of the results did not hold in the full...
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August 2020 that DLive was "turning a blind eye" to hate speech and misinformation on the platform: "They care more about having good numbers than weeding
Nonhelical shear dynamos are studied with a particular focus on the possibility of coherent dynamo action. The primary results -- serving as a follow up to the results of Squire & Bhattacharjee [arXiv:1506.04109 (2015)] -- pertain to the "magnetic sh...
**DISCLAIMER:** I wrote THIS WITHOUT AI. DAMN THAT WAS HARD BECAUSE I´M NOT A NATIVE SPEAKER. But Fake Checked some numbers/events in the "\[\]" with AI. I hope its not that bad written. Nintendo is...
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We studied Ramanujan series $\sum_{q=1}^{\infty}G(q)c_q(a)$, where $c_q(a)$ is the well-known Ramanujan sum and the complex numbers $G(q)$, as $q\in$N, are the Ramanujan coefficients; of course, we mean, implicitly, that the series converges pointwis...
Dr Daniel Vance was a smart man. Too smart for his own good, maybe. Forty years old, a lecturer in fluid dynamics with a mind made of shapes and numbers. No one knows why but one day, on a whim, he cr...
https://preview.redd.it/3rcahintftye1.png?width=1641&format=png&auto=webp&s=a7a1575ae01befddf88f06e5ee21ba976392766a Hi all, So question. I want to use these numbers for a tracker app. b...
An assortment of algorithms that search, sort, inspect and transform sequence of numbers (⭐ 0)
The dependence on the structure functions and Z, N numbers of the nuclear binding energy is investigated within the inverse problem(IP) approach. This approach allows us to infer the underlying model parameters from experimental observation, rather t...
We report on the melting dynamics of frozen olive oil in quiescent water for Rayleigh numbers up to $10^9$. The density difference results in an upward buoyancy-driven flow of liquid oil forming a thin film around the frozen oil. We experimentally in...
mathematics, a generating function is a representation of an infinite sequence of numbers as the coefficients of a formal power series. Generating functions
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We study the influence of the frictional heating on the wind line-profiles of SMC stars. For this purpose we use our NLTE wind code to obtain consistent occupation numbers of studied levels and our radiative transfer code to solve the radiative tra...
New numerical models of line-driven stellar winds of late O stars are presented. Statistical equilibrium (NLTE) equations of the most abundant elements are solved. Properly obtained occupation numbers are used to calculate consistent radiative forc...
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Recently Yu. Bilu, P. Habegger and L. Kühne proved that no singular modulus can be a unit in the ring of algebraic integers. In this paper we study for which sets S of prime numbers there is no singular modulus that is an S-units. Here we prove that...
Let $v_1$, $v_2$, ..., $v_n$ be real numbers whose squares add up to 1. Consider the $2^n$ signed sums of the form $S = \sum \pm v_i$. Holzman and Kleitman (1992) proved that at least 3/8 of these sums satisfy $|S| \le 1$. This 3/8 bound seems to be...