Tootfinder

Progress on the #tricycle project is mainly in thinking about and working on the subframe. One thing that I'm sure is the right decision is to give the subframe a flat mounting flange, which will bolt down onto a matching pedestal within the hull. This will make the subframe easier to fabricate, and easier to mount/dismount - which I think will be needed for any work on the wheel or tyre.

On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$
Vaibhav Keshari, Mohamad N. Nasser, Madeti Prabhakar
https://arxiv.org/abs/2508.04168

On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$
This paper classifies complex homogeneous $2$-local representations of the multiple virtual braid group $M_kVB_n$ into $\mathrm{GL}_n(\mathbb{C})$ for $n\geq3$ and $k >1$, showing that such representations fall into exactly $2^{k+1}+1$ distinct types, out of which except three all are unfaithful. In addition, this paper investigates complex homogeneous $2$-local representations of the multiple welded braid group $M_kWB_n$ into $\mathrm{GL}_n(\mathbb{C})$ for $n\geq3$ and $k >1$, identifying $3 …

Der Juli 2025 war weltweit der drittwärmste seit Beginn der Aufzeichnungen.
Die globale Durchschnittstemperatur lag 0,45 °C über dem Juli-Mittel von 1991–2020 und 1,25 °C über dem vorindustriellen Niveau.
Damit blieb der Monat knapp unter der 1,5-Grad-Schwelle. Im 12-Monats-Zeitraum August 2024 bis Juli 2025 lag die globale Temperatur im Schnitt bereits 1,53 °C darüber.