Tootfinder

from my link log —
Triangle of power notation: exponents roots and logarithms.
https://mathcenter.oxford.emory.edu/site/math108/logs/
saved 2025-03-13

On the Residue Sequence in Logarithmic Topological Cyclic Homology
Tommy Lundemo
https://arxiv.org/abs/2506.14545 https://arxiv.org/p…

On the Residue Sequence in Logarithmic Topological Cyclic Homology
As a localizing invariant, THH participates in localization sequences of cyclotomic spectra. We resolve a conjecture of Rognes by relating these to residue sequences in logarithmic THH. Consequently, logarithmic THH, TR, and TC serve as strict generalizations of the constructions of Hesselholt--Madsen and Blumberg--Mandell, which moreover enjoy localization sequences without the regularity hypotheses usually required for dévissage. Combined with work of Ramzi--Sosnilo--Winges, our results impl…

Mirror Descent Using the Tempesta Generalized Multi-parametric Logarithms
Andrzej Cichocki
https://arxiv.org/abs/2506.13984 https://a…

Mirror Descent Using the Tempesta Generalized Multi-parametric Logarithms
In this paper, we develop a wide class Mirror Descent (MD) algorithms, which play a key role in machine learning. For this purpose we formulated the constrained optimization problem, in which we exploits the Bregman divergence with the Tempesta multi-parametric deformation logarithm as a link function. This link function called also mirror function defines the mapping between the primal and dual spaces and is associated with a very-wide (in fact, theoretically infinite) class of generalized tra…

Points on $\operatorname{SO}(3)$ with low logarithmic energy
Carlos Beltr\'an, Federico Carrasco, Damir Ferizovi\'c, Pedro R. L\'opez-G\'omez
https://arxiv.org/abs/2506.13388

Points on $\operatorname{SO}(3)$ with low logarithmic energy
We describe several randomized collections of $3\times 3$ rotation matrices and analyze their associated logarithmic energy. The best one (i.e. the one attaining the lowest expected logarithmic energy) is constructed by choosing $r$ spherical points, which come from the zeros of a randomly chosen degree $r$ polynomial, and considering at each of these points a set of $s$ evenly distributed rotation matrices. This construction yields a new upper bound on the minimal logarithmic energy of $n=rs$ …

Logarithmic and Strong Coupling Models in Weyl-Type $f(Q,T)$ Gravity
Rahul Bhagat, S. K. Tripathy, B. Mishra
https://arxiv.org/abs/2506.13126 https://

Logarithmic and Strong Coupling Models in Weyl-Type $f(Q,T)$ Gravity
In this paper, we have explored the cosmological implications of Weyl-type $f(Q,T)$ gravity, a modified gravitational theory formulated from Weyl geometry. The nonmetricity scalar $Q$ is coupled to the trace $T$ of the energy-momentum tensor. We analyze two models based on the logarithmic and strong coupling form of the function $f(Q,T)$. The corresponding field equations are then solved numerically after reformulating the system in terms of redshift. We used combined dataset from Cosmic Chrono…

Do I happen to know anyone in the EU with a LaserDisc Domesday Duplicator setup?
I really want to have a digital rip of a rare laserdisc, but I really don't feel like getting into a whole new ecosystem.
Willing to pay for the time and effort.
EDIT: My disc is a Japanese NTSC release, making things even harder...

Der persische Golf.

An introduction to real oriented blowups in toric, toroidal and logarithmic geometries
Patrick Popescu-Pampu
https://arxiv.org/abs/2507.11982 https://

An introduction to real oriented blowups in toric, toroidal and logarithmic geometries
This text is an introduction to the applications of rounding of complex log spaces (also known as Kato-Nakayama or Betti realization) to singularity theory. Log spaces in the sense of Fontaine and Illusie were first described in print by Kato, in a 1988 paper. Rounding of complex log spaces was introduced in a 1999 paper by Kato and Nakayama and is a functorial generalization of A'Campo's 1975 notion of a real oriented blowup. It allows to cut canonically any complex toroidal variety $X$ along …

Jamming in Ostsee: Erfolgreicher Test einer Laser-Verbindung zwischen Schiffen
Ein litauisches Startup hat zusammen mit der Marine das Freiraum-Laserterminal Polaris erfolgreich auf See ausprobiert. Es soll gegen Funkstörungen immun sein.

from my link log —
Logarithms of algebraic data types for property-based testing.
https://dl.acm.org/doi/abs/10.1145/3498726
saved 2025-04-25