Tootfinder

Distance Distribution Functions and Probabilistic Metric Spaces on C*-algebras
Rasoul Abazari
https://arxiv.org/abs/2509.16498 https://arxiv.org/pdf/2509.1…

Distance Distribution Functions and Probabilistic Metric Spaces on C*-algebras
In this paper, by using the concept of positive elements of $C^*$-algebras instead of the real numbers $\mathbb{R}$, a generalization of distribution functions, with a particular focus on distance distribution functions has been introduced as a novel approach in statistical mathematics. Also, by applying this concept, probabilistic metric space on $C^*$-algebras is defined and some properties such as topology and fixed point theorems have been investigated. Finally, some examples and applicatio…

from my link log —
An array index points between elements.
https://blog.nelhage.com/2015/08/indices-point-between-elements/
saved 2025-12-13

Moody Urbanity - TWO II 2️⃣
情绪化城市 - 贰 II 2️⃣
📷 Nikon FE
🎞️ Fujifilm NEOPAN SS, expired 1993
#filmphotography #Photography #blackandwhite

FINANCIAL TIMES
The US and Ukraine have drafted a new 19-point peace deal,
but left the most politically sensitive elements to be decided by the countries' presidents,
according to Ukrainian first deputy foreign minister Sergiy Kyslytsya.
Washington had previously put Kyiv under pressure to agree a 28-point proposal that had been developed by US and Russian officials and crossed several long-standing Ukrainian red lines.
Kyslytsya, who was in the room as par…

US and Ukraine draft new 19-point peace plan but defer biggest decisions
The most politically sensitive elements are left for Trump and Zelenskyy to discuss

Adding another post. This one is a bit less polished, but I want to get it out. As things get harder for everyone, I'm seeing a greater tendency to want to grasp onto revolutionary fiction such as #Andor. I think there's value in that, but it has to come with an informed critique.
> We are so thirsty for hope that we will drink it up, even when that hope comes from a fiction and the truth behind the hope is poison. In Andor, we see the worst elements sacrifice themselves for some of the best. The revolution goes through a process of purification, the complicated elements weeding themselves out to make room for the simplified good, as the rebellion unifies. In reality, this tends to be the opposite how things actually work.
> [...]
> [The Urban Guerilla movement of the 60's through the 80's] centered militant revolution. In doing so, they omitted or cut themselves off from the logistic support needed to sustain such revolutionary activity. The trauma of carrying out violence further isolated and radicalized them. Lacking infrastructure for trauma healing, their decay escalated and became unrecoverable. Ultimately, their revolutionary movements both emulated and reinforced the status quo they were trying to resist.
> There emerges a strange historical parallel that is difficult to see from within the dominant paradigm. The competitive politics of electoralism derives from heroic competition, where people (typically men) compete (often violently) for control over a territory or people. Thus the insurrectionary enters into the very same competition as a challenger, not against the system of domination but for control over it. The success of the revolution, then, does not abolish the system of violent domination but changes rather replaces its management.
> Many modern anarchists will be quick to point out the disconnect between ends and means. While authoritarian projects often assert that "the ends justify the means," and Andor implies the same, anti-authoritarian projects assert the ends and the means are not only united but are, in fact, the same.
This is still very much something I'm actively editing, but I'd still love feedback to help me refine it to it's final form. Typo catches and clarifying questions welcome.
#USPol

Counting integral points in homogeneous spaces over function fields
Sheng Chen, Jing Liu
https://arxiv.org/abs/2510.06983 https://arxiv.org/pdf/2510.06983

Counting integral points in homogeneous spaces over function fields
We establish the asymptotic formula for the number of integral points in non-compact symmetric homogeneous spaces of semi-simple simply connected algebraic groups over global function fields, given by the sum of the products of local densities twisted by suitable Brauer elements.

Series B, Episode 02 - Shadow
BLAKE: There's no reason why they should.
[Space City. Chairman is seen on communications screen]
ENFORCER: They'll be making planetfall anytime now.
CHAIRMAN: Excellent. Are all Largo's addicts so available?
https://blake.torpidity.net/m/202/444

Urban Adventure 🏞️
城市探险 🏞️
📷Zeiss Ikon Super Ikonta 533/16
🎞️Ilford HP5, expired 1993
#filmphotography #Photography #blackandwhite

Trump Threatens Higher Tariffs on China Citing Restrictions on Rare-Earth Elements
President signals other possible economic countermeasures, adding there is no reason to meet with Xi at APEC summit
The Dow is already down more than 300 points
https://www.

Urban Compo 🧶
城市规则化
📷Nikon FE
🎞️ FujiFilm Neopan SS, expired 1993
#filmphotography #Photography #blackandwhite