Tootfinder

Analytical computation of bifurcation of orbits near collinear libration point in the restricted three-body problem
Mingpei Lin, Tong Luo, Hayato Chiba
https://arxiv.org/abs/2403.18237

Analytical computation of bifurcation of orbits near collinear libration point in the restricted three-body problem
A unified analytical solution is presented for constructing the phase space near collinear libration points in the Circular Restricted Three-body Problem (CRTBP), encompassing Lissajous orbits and quasihalo orbits, their invariant manifolds, as well as transit and non-transit orbits. Traditional methods could only derive separate analytical solutions for the invariant manifolds of Lissajous orbits and halo orbits, falling short for the invariant manifolds of quasihalo orbits. By introducing a c…

Latest report provides hint on Cowboys' feelings about Ezekiel Elliott reunion https://www.yardbarker.com/nfl/articles/latest_report_provides_hint_on_cowboys_feelings_about_ezekiel_elliott_reunio…

Latest report provides hint on Cowboys' feelings about Ezekiel Elliott reunion
A report from last month indicated a mutual interest existed between the Cowboys and running back Ezekiel Elliott. On the eve of the draft, Dallas’ actions continue to point in that direction. CBS Sports’ Josina Anderson reports the Cowboys are currently meeting with Elliott’s agent. The two-time rushing champion has been linked to a new Dallas deal, and no known interest has been shown by other teams to date. Like many veterans, Elliott will likely have to wait until the post-draft wav…

Hashing geographical point data using the space-filling H-curve
Igor V. Netay
https://arxiv.org/abs/2403.16216 https://arxiv.org/pdf/…

Hashing geographical point data using the space-filling H-curve
We construct geohashing procedure based on using of space-filling H-curve. This curve provides a way to construct geohash with less computations than the construction based on usage of Hilbert curve. At the same time, H-curve has better clustering properties.

Quantized semisimple Lie groups
Rita Fioresi, Robert Yuncken
https://arxiv.org/abs/2403.17180 https://arxiv.org/pdf/2403.17180…

Quantized semisimple Lie groups
These notes present a quick introduction to the q-deformations of semisimple Lie groups from the point of view of unitary representation theory. In order to remain concrete, we concentrate entirely on the case of the lie algebra $\mathrm{sl}(2,\mathbb{C})$ and its associated compact and complex semisimple Lie groups $\mathrm{SU}(2)$ and $\mathrm{SL}(2,\mathbb{C})$. We treat the following topics: The quantized enveloping algebra and its representations; Hopf algebras and the various notions of…

2021 retro-link! https://2ality.com/2021/06/temporal-api.html - Temporal: getting started with JavaScript’s new date time API.

Not getting into an argument over a #RandomPedantry point, but as a matter of objective fact, we are leaving our kids cleaner air on a global basis than we inherited with the exception of CO2 levels. Sulfur, fine particulates, NOx, etc. are all *down* in a multi-decadal scope.
Which is part of why we seeing a tipping point in temperatures. Fuel oil used in large ships has gotten much c…

Convexity, Fourier transforms, and lattice point discrepancy
Michael Greenblatt
https://arxiv.org/abs/2402.16636 https://arxiv.org/pd…

Convexity, Fourier transforms, and lattice point discrepancy
In a well-known paper by Bruna, Nagel and Wainger [BNW], Fourier transform decay estimates were proved for smooth hypersurfaces of finite line type bounding a convex domain. In this paper, we generalize their results in the following ways. First, for a surface that is locally the graph of a convex real analytic function, we show that a natural analogue holds even when the surface in question is not of finite line type. Secondly, we show a result for a general surface that is locally the graph o…

Saddle Point Search Algorithms for Variational Density Functional Calculations of Excited Electronic States with Self-Interaction Correction
Yorick Leonard Adrian Schmerwitz, N\'uria Urgell Oll\'e, Gianluca Levi, Hannes J\'onsson
https://arxiv.org/abs/2402.16601

Saddle Point Search Algorithms for Variational Density Functional Calculations of Excited Electronic States with Self-Interaction Correction
Excited electronic states of molecules and solids play a fundamental role in fields such as catalysis and electronics. In electronic structure calculations, excited states typically correspond to saddle points on the surface described by the variation of the energy as a function of the electronic degrees of freedom. A direct optimization algorithm based on generalized mode following is presented for density functional calculations of excited states. While conventional direct optimization method…

"The point I’m attempting to make is that when a company, built on Open-Source, tries to lock it down, almost always in defence of falling margins and a perceived “ripping off” by others, it fails to re-invigorate the community"
https://freshbrewed.science/2024/04/09

This https://arxiv.org/abs/2312.13761 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

QCD with an Infrared Fixed Point and a Dilaton
Following previous work we further explore the possibility that the chirally broken phase of gauge theories admits an infrared fixed point interpretation. The slope of the $β$ function, $β'_*$, is found to vanish at the infrared fixed point which has several attractive features such as logarithmic running. We provide a more in-depth analysis of our previous result that the mass anomalous assumes $γ_* = 1$ at the fixed point. The results are found to be consistent with ${\cal N}=1$ supersymme…