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Spršvným směrem – lepší orientační systémy pro českš zdravotnickš zařízení - https://spravnymsmerem.czechdesign.cz/
„85 % pacientů se při nšvštěvě zdravotnického zařízení ptš na cestu.”
„Personšl potřebuje průměrně 1,5 minuty, aby ztracenému pacientovi poradil a 5,3 minuty k tomu,…

Správným směrem – lepší orientační systémy pro česká zdravotnická zařízení
Když jde o zdraví, je každá minuta navíc drahá. Bohužel v českých nemocnicích se zpravidla dlouho bloudí. Proto jim pomáháme najít správný směr k srozumitelnější a praktičtější navigaci, a tím k rychlejší péči pro pacienty.

This https://arxiv.org/abs/2505.16093 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Multiple chordal SLE($κ$) and quantum Calogero-Moser system
We study multiple chordal SLE$(κ)$ systems in a simply connected domain $Ω$, where $z_1, \ldots, z_n \in \partial Ω$ are boundary starting points, and $q \in \partial Ω$ is an additional marked boundary point. Based on the framework introduced in \cite{Dub07}, we show that the partition functions in the upper half-plane $\mathbb{H}$ satisfy both the null vector equations and a dilatation equation with scaling constant $d$. We show that the presence of the marked boundary point $q$ intro…

A unified quaternion-complex framework for incompressible Navier-Stokes equations: new insights and implications
Farrukh A. Chishtie
https://arxiv.org/abs/2505.22853

A unified quaternion-complex framework for incompressible Navier-Stokes equations: new insights and implications
We present a novel, unified quaternion-complex framework for formulating the incompressible Navier-Stokes equations that reveals the geometric structure underlying viscous fluid motion and resolves the Clay Institute's Millennium Prize problem. By introducing complex coordinates $z = x + iy$ and expressing the velocity field as $F = u + iv$, we demonstrate that the nonlinear convection terms decompose as $(u \cdot \nabla)F = F \cdot \frac{\partial F}{\partial z} + F^* \cdot \frac{\partial F}{\p…

This https://arxiv.org/abs/2505.14762 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Multiple radial SLE($κ$) and quantum Calogero-Sutherland system
In this first of two articles, we study the multiple radial $\mathrm{SLE}(κ)$ systems with parameter $κ> 0$ -- a family of random multi-curve systems in a simply-connected domain $Ω$, with marked boundary points $z_1, \ldots, z_n \in \partial Ω$ and a marked interior point $q$. As a consequence of the domain Markov property and conformal invariance, we show that such systems are characterized by equivalence classes of partition functions, which are not necessarily conformally covariant. Nev…

Soliton resolution for the coupled complex short pulse equation
Nan Liu, Ran Wang
https://arxiv.org/abs/2505.22210 https://arxiv.org/…

Soliton resolution for the coupled complex short pulse equation
We address the long-time asymptotics of the solution to the Cauchy problem of ccSP (coupled complex short pulse) equation on the line for decaying initial data that can support solitons. The ccSP system describes ultra-short pulse propagation in optical fibers, which is a completely integrable system and posses a $4\times4$ matrix Wadati--Konno--Ichikawa type Lax pair. Based on the $\bar{\partial}$-generalization of the Deift--Zhou steepest descent method, we obtain the long-time asymptotic app…

„Da die Münchner Burgkmairstraße recht eng ist, parken viele Autofahrer mit zwei Rädern auf dem Gehweg. Das ist zwar nicht erlaubt, wurde aber jahrzehntelang geduldet. Bis vergangenen April. Seitdem zeigen zwei Passanten die Gehweg-Parker an.“ Gehweg-Parker anzeigen wirkt.

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