Tootfinder

Horrocks theorem for odd orthogonal groups
Ambily A A, Sugilesh H
https://arxiv.org/abs/2506.10360 https://arxiv.org/pdf/2506.10360…

Horrocks theorem for odd orthogonal groups
We prove Horrocks' theorem for the odd elementary orthogonal group, which gives a decomposition of an orthogonal matrix with entries from a polynomial ring $R[X]$, over a commutative ring $R$ in which 2 is invertible, as a product of an orthogonal matrix with entries in $R$ and an elementary orthogonal matrix with entries from $R[X]$.

Bias-Switchable Row-Column Array Imaging using Fast Orthogonal Row-Column Electronic Scanning (FORCES) Compared with Conventional Row-Column Array Imaging
Randy Palamar, Mohammad Rahim Sobhani, Darren Dahunsi, Negar Majidi, Afshin Kashani Ilkhechi, Joy Wang, Jeremy Brown, Roger Zemp
https://arxiv.org/abs/2506.10958

Bias-Switchable Row-Column Array Imaging using Fast Orthogonal Row-Column Electronic Scanning (FORCES) Compared with Conventional Row-Column Array Imaging
Row-Column Arrays (RCAs) offer an attractive alternative to fully wired 2D-arrays for 3D-ultrasound, due to their greatly simplified wiring. However, conventional RCAs face challenges related to their long elements. These include an inability to image beyond the shadow of the aperture and an inability to focus in both transmit and receive for desired scan planes. To address these limitations, we recently developed bias-switchable RCAs, also known as Top Orthogonal to Bottom Electrode (TOBE) arr…

Neuer Radweg von Nutzfelde bis zur L221. In eine Richtung, wie immer über Land, linksseitig. Der Wechsel ist innerorts schon mit Blick auf's Ortsschild. Und damit im Ich-geb-schon-mal-Gas-Bereich der Durchschnittsfahrer. Absolut logisch wäre hier ein Radfahrer-Überholverbot. Aber dann wär es ja Radverkehrsförderung. So räumt das resultierende Straßenfahrverbot vor allem den Autofahrern auch noch den letzten Restradler aus dem Weg.

Accelerating Newton-Schulz Iteration for Orthogonalization via Chebyshev-type Polynomials
Ekaterina Grishina, Matvey Smirnov, Maxim Rakhuba
https://arxiv.org/abs/2506.10935

Accelerating Newton-Schulz Iteration for Orthogonalization via Chebyshev-type Polynomials
The problem of computing optimal orthogonal approximation to a given matrix has attracted growing interest in machine learning. Notable applications include the recent Muon optimizer or Riemannian optimization on the Stiefel manifold. Among existing approaches, the Newton-Schulz iteration has emerged as a particularly effective solution, as it relies solely on matrix multiplications and thus achieves high computational efficiency on GPU hardware. Despite its efficiency, the method has inherent …

Mm. Orts.

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials
Harini Desiraju, Sampad Lahiry
https://arxiv.org/abs/2506.09582

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials
In recent years, there has been significant progress in the theory of orthogonal polynomials on algebraic curves, particularly on genus 1 surfaces. In this paper, we focus on elliptic orthogonal polynomials and establish several of their fundamental properties. In particular, we derive general five-term and seven-term recurrence relations, which lead to a Christoffel-Darboux formula and the construction of an associated point process on the A-cycle of the torus. Notably, the recurrence coeffici…

In #Gommern sorgt eine Entscheidung des Stadtrats für Aufsehen. Mit den Stimmen von #CDU und #AfD wurde der Bau einer geplanten

PV-Ankage bei Gommern: CDU ud AfD stellen lokale Demokratie infrage
Gommern. - Seit dem Bestehen der Einheitsgemeinde Gommern ist es gelebte politische Praxis, dass die Ortschaftsräte in Vertretung und im Interesse ihrer Einwohner selbst über jene Belange entscheiden, die ihren Ort betreffen. Das ist seit Mittwoch, 4. Juni 2025, in Gommern Geschichte....

Straight-line Orthogonal Drawing of Complete Ternary Tree Requires $O(n^{1.032})$ Area
Hong Duc Bui
https://arxiv.org/abs/2506.09269 https://

Straight-line Orthogonal Drawing of Complete Ternary Tree Requires $O(n^{1.032})$ Area
We resolve a conjecture posed by Covella, Frati and Patrignani by proving the straight-line orthogonal drawing of the complete ternary tree with $n$ nodes satisfying the subtree separation property with smallest area has area $Ω(n^{1.031})$. We also improve the upper bound of this area to $O(n^{1.032})$.

I wish you could edit someone else’s post for orthography.

Time-domain field correlation measurements enable tomography of highly multimode quantum states of light
Emanuel Hubenschmid, Guido Burkard
https://arxiv.org/abs/2506.10483

Time-domain field correlation measurements enable tomography of highly multimode quantum states of light
Recent progress in ultrafast optics facilitates the investigation of the dynamics of highly multimode quantum states of light, as demonstrated by the application of electro-optic sampling to quantum states of the electromagnetic field. Yet, the complete tomographic reconstruction of optical quantum states with prior unknown statistics and dynamics is still challenging, since state-of-the-art tomographic methods require the measurement of many orthogonal, distinguishable modes. Here, we propose …