Tootfinder

There's a mysterious 'carbon sink' in the hinterlands of the South Island... absorbing more carbon than expected... I'm following this research with interest. https://www.rnz.co.nz/news/national/564407…

Positional numeral systems over polyadic rings
Steven Duplij
https://arxiv.org/abs/2506.12930 https://arxiv.org/pdf/2506.12930…

Positional numeral systems over polyadic rings
We construct positional numeral systems that work natively over nonderived polyadic $\left( m,n\right) $-rings whose addition takes $m$ arguments and multiplication takes $n$. In such rings, the length of an admissible additive word and a multiplicative tower are not arbitrary (as in the binary case), but \textquotedblleft quantized\textquotedblright. Our main contributions are the following. Existence: every commutative $\left( m,n\right) $-ring admits a base-$p$ place-value expansion that res…

Einschränkung Bahnverkehr Zürich wegen Fahrleitungsstörung
Der Bahnverkehr auf der Strecke Zürich Oerlikon - Zürich HB ist zwischen Zürich Oerlikon und Zürich Hardbrücke eingeschränkt.
Der Grund dafür ist eine Fahrleitungsstörung.
Die Einschränkung dauert bis zirka 08:00.
Betroffen sind die Linien S, S15, S16 und S21.
Es sind Verspätungen, Ausfälle und Umleitungen zu erwarten.

Legendre-Gauss-Lobatto Collocation Method for Optimal Control via Polynomial Approximations of Differential Equation Vector Fields
Gabriela Abadia-Doyle, William W. Hager, Anil V. Rao
https://arxiv.org/abs/2506.13938

Legendre-Gauss-Lobatto Collocation Method for Optimal Control via Polynomial Approximations of Differential Equation Vector Fields
A new method is described for solving optimal control problems using direct collocation at Legendre-Gauss-Lobatto points. The approach of this paper employs a polynomial approximation of the right-hand side vector field of the differential equations and leads to the following important outcomes. First, the first-order optimality conditions of the LGL integral form are derived, which lead to a full-rank transformed adjoint system and novel costate estimate. Next, a derivative-like form of the LG…

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D
Fabio Leotta
https://arxiv.org/abs/2506.13221

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D
We derive conditional a priori error estimates of a wide class of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D via the verification of weak consistency and entropy stability, as recently proposed by Bressan et al.~\cite{BressanChiriShen21}. Convergence in $L^\infty L^1$ with rate $h^{1/3}$ is obtained under a time step restriction $τ\leq ch$, provided the following conditions hold: the exact solution is pi…

CMI-Bench: A Comprehensive Benchmark for Evaluating Music Instruction Following
Yinghao Ma, Siyou Li, Juntao Yu, Emmanouil Benetos, Akira Maezawa
https://arxiv.org/abs/2506.12285 …

CMI-Bench: A Comprehensive Benchmark for Evaluating Music Instruction Following
Recent advances in audio-text large language models (LLMs) have opened new possibilities for music understanding and generation. However, existing benchmarks are limited in scope, often relying on simplified tasks or multi-choice evaluations that fail to reflect the complexity of real-world music analysis. We reinterpret a broad range of traditional MIR annotations as instruction-following formats and introduce CMI-Bench, a comprehensive music instruction following benchmark designed to evaluat…

On the Vertices of Delta-modular Polyhedra
Bludov Mikhail, Gribanov Dmitry, Klimenko Maxim, Kupavskii Andrey, L\'angi Zsolt, Rogozin Alexander, Voronov Vsevolod
https://arxiv.org/abs/2506.12774

On the Vertices of Delta-modular Polyhedra
Let $P$ be a polytope defined by the system $A x \leq b$, where $A \in R^{m \times n}$, $b \in R^m$, and $\text{rank}(A) = n$. We give a short geometric proof of the following tight upper bound on the number of vertices of $P$: $$ n! \cdot \fracΔ{Δ_{\text{average}}} \cdot \text{vol}(B_2) \sim \frac{1}{\sqrt{Ï€n}} \cdot \left(\frac{2 Ï€}{e}\right)^{n/2} \cdot n^{n/2} \cdot \fracΔ{Δ_{\text{average}}}, $$ where $Δ$ is the maximum absolute value of $n \times n$ subdeterminants of $A$, and $Î…

Filing: neobank Chime plans to sell 26M shares in its IPO at $24 to $26, giving it a valuation between $10.3B and $11.1B; its two co-founders own 4% to 5% each (Cory Weinberg/The Information)
https://www.theinformation.com/briefings/chime-sets-ipo-…

Chime Sets Tentative IPO Price at Around $10.7 Billion
Banking app Chime plans to sell shares in an initial public offering at a price that would value it at between $10.3 billion and $11.1 billion, on a fully-diluted basis, the company said in a new securities filing Monday. The company set the price range ahead of a roadshow to meet investors over the next week, ahead of its IPO. The per-share price of the range, between $24 and $26, is more

Flying Co-Stereo: Enabling Long-Range Aerial Dense Mapping via Collaborative Stereo Vision of Dynamic-Baseline
Zhaoying Wang, Xingxing Zuo, Wei Dong
https://arxiv.org/abs/2506.00546

Flying Co-Stereo: Enabling Long-Range Aerial Dense Mapping via Collaborative Stereo Vision of Dynamic-Baseline
Lightweight long-range mapping is critical for safe navigation of UAV swarms in large-scale unknown environments. Traditional stereo vision systems with fixed short baselines face limited perception ranges. To address this, we propose Flying Co-Stereo, a cross-agent collaborative stereo vision system that leverages the wide-baseline spatial configuration of two UAVs for long-range dense mapping. Key innovations include: (1) a dual-spectrum visual-inertial-ranging estimator for robust baseline e…

2025 Cowboys Defense: 3 players flying under the radar https://insidethestar.com/2025-cowboys-defense-3-players-flying-under-the-radar