Tootfinder

Section 7 high school boys basketball tournament 2025 brackets, teams, schedule https://www.sportingnews.com/us/high-school/boys-basketball/news/section-7-high-school-…

BuzzFeed brackets are 100% accurate and do not lie. And only 5% agree with me? Go home 😂

On novel Hamiltonian description of the nonholonomic Suslov problem
A. V. Tsiganov
https://arxiv.org/abs/2505.19594 https://arxiv.org…

On novel Hamiltonian description of the nonholonomic Suslov problem
We present some new Poisson bivectors that are invariants by the flow of the nonholonomic Suslov problem. Two rank four invariant Poisson bivectors have globally defined Casimir functions and, therefore, define cubic Poisson brackets on the five dimensional state space with standard symplectic leaves. For the Suslov gyrostat in the potential field we found rank two Poisson bivectors having only two globally defined Casimir functions and, therefore, we say about formal Hamiltonian description in…

Characteristic equations of linearized $\lambda R$ gravity
J. Aldair Pantoja-Gonzalez (Puebla U., Inst. Fis.), D. Vanessa Castro-Luna (Puebla U., Inst. Fis.), Alberto Escalante (Puebla U., Inst. Fis.)
https://arxiv.org/abs/2506.16603

Characteristic equations of linearized $λR$ gravity
A detailed Hamilton-Jacobi analysis for linearized $λR$ gravity is developed. The model is constructed by rewriting linearized gravity in terms of a parameter $λ$ and new variables. The set of all hamiltonians is identified successfully, and the fundamental differential is established. The non-involutive hamiltonians are eliminated, and the Hamilton-Jacobi generalized brackets are calculated. Such brackets are used to report the characteristic equations, and the counting of the number of degr…

@… Yes, I agree, and I'd also love to get my hands on these drafts…
The author specifically mentions the angle brackets, which IMHO supports the assumption that the inital SGML working draft still used the GML syntax.

@… Yes, I agree, and I'd also love to get my hands on these drafts…
The author specifically mentions the angle brackets, which IMHO supports the assumption that the inital SGML working draft still used the GML syntax.

Quantisation ideals, canonical parametrisations of the unipotent group and consistent integrable systems
M. A. Chirkov, A. V. Mikhailov, D. V. Talalaev
https://arxiv.org/abs/2505.20253

Quantisation ideals, canonical parametrisations of the unipotent group and consistent integrable systems
Using the methods of quantisation ideals, we construct a family of quantisations corresponding to Case alpha in Sergeev's classification of solutions to the tetrahedron equation. This solution describes transformations between special parametrisations of the space of unipotent matrices with noncommutative coefficients. We analyse the classical limit of this family and construct a pencil of compatible Poisson brackets that remain invariant under the re-parametrisation maps (mutations). This deco…

From Adler-Gelfand-Dickey Brackets to Logarithmic Dubrovin-Frobenius manifolds
Yassir Dinar
https://arxiv.org/abs/2506.11569 https://…

From Adler-Gelfand-Dickey Brackets to Logarithmic Dubrovin-Frobenius manifolds
We construct a new local Poisson bracket compatible with the second unconstrained Adler-Gelfand-Dickey bracket. The resulting bihamiltonian structure admits a dispersionless limit and the leading term defines a logarithmic Dubrovin-Frobenius manifold. Furthermore, we show that this Dubrovin-Frobenius manifold can be constructed on the orbits space of the standard representation of the permutation group.

On the latest episode of "Between the Brackets", Yaron Koren hosts me for a chat about Wikifunctions, Abstract Wikipedia, Wikidata, AI, and much more. I hope you enjoy the episode. Thank you, Yaron, for hosting!
https://betweenthebrackets.libsyn.com/episo…

I've seen outrage expressed at this one percent decrease of the lowest marginal tax rate as "not being a 'middle-class tax cut' since everyone -- billionaires included -- will benefit from it."
It's true; it means that anyone making more than $57,375 will pay 1% less on that first $57K. So, yes, a billionaire and I will both pay $573.75 less. That's how tax brackets work.
It's bad enough that some people don't understand taxation; it's worse that others exploit that to foment outrage.

@… I explicitly do not discuss the Concrete Reference Syntax (i.e., the angle brackets) in this paper, but some other historical idiosyncrasies:
Michael Piotrowski (2019). “History and the future of markup”. In: Proceedings of XML Prague 2019 (Prague, Feb. 7–9, 2019). Ed. by Jiří Kosek, pp. 323–333. URL:

@… I explicitly do not discuss the Concrete Reference Syntax (i.e., the angle brackets) in this paper, but some other historical idiosyncrasies:
Michael Piotrowski (2019). “History and the future of markup”. In: Proceedings of XML Prague 2019 (Prague, Feb. 7–9, 2019). Ed. by Jiří Kosek, pp. 323–333. URL:

This https://arxiv.org/abs/2506.00699 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

What is a double star-product?
Double Poisson brackets, introduced by M. Van den Bergh in 2004, are noncommutative analogs of the usual Poisson brackets in the sense of the Kontsevich-Rosenberg principle: they induce Poisson structures on the space of $N$-dimensional representations $\operatorname{Rep}_N(A)$ of an associative algebra $A$ for any $N$. The problem of deformation quantization of double Poisson brackets was raised by D. Calaque in 2010, and had remained open since then. In this paper, we address this problem b…

buy my shit https://www.ebay.com/itm/187320185087

This https://arxiv.org/abs/2404.09284 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Deriving a GENERIC system from a Hamiltonian system
We reconsider the fundamental problem of coarse-graining infinite-dimensional Hamiltonian dynamics to obtain a macroscopic system which includes dissipative mechanisms. In particular, we study the thermodynamical implications concerning Hamiltonians, energy, and entropy and the induced geometric structures such as Poisson and Onsager brackets (symplectic and dissipative brackets). We start from a general finite-dimensional Hamiltonian system that is coupled linearly to an infinite-dimensional…

What is a double star-product?
Nikita Safonkin
https://arxiv.org/abs/2506.00699 https://arxiv.org/pdf/2506.00699

What is a double star-product?
Double Poisson brackets, introduced by M. Van den Bergh in 2004, are noncommutative analogs of the usual Poisson brackets in the sense of the Kontsevich-Rosenberg principle: they induce Poisson structures on the space of $N$-dimensional representations $\operatorname{Rep}_N(A)$ of an associative algebra $A$ for any $N$. The problem of deformation quantization of double Poisson brackets was raised by D. Calaque in 2010, and had remained open since then. In this paper, we address this problem b…

This https://arxiv.org/abs/2412.05110 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Revisiting semiclassical effective dynamics for quantum cosmology
We revise the technique of semiclassical effective dynamics, in particular reexamining the evaluation of Poisson structure of the so-called central moments capturing quantum corrections, providing a systematic, pedagogical, and efficient algorithm for evaluation of said structure. The resulting closed formulae for Poisson brackets involve less summatios than recent results in the literature, thus being more optimal for applications. Found formulae are then applied to a general class of isotropi…