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pro vyhledávání: '"Panina A"'
Autor:
Nasonov, Ivan, Panina, Gaiane
It is conjectured since long that for any convex body $P\subset \mathbb{R}^n$ there exists a point in its interior which belongs to at least $2n$ normals from different points on the boundary of $P$. The conjecture is proven for $n=2,3,4$. We treat t
Externí odkaz:
http://arxiv.org/abs/2411.12745
Let $ E \xrightarrow[\text{}]{\pi} B$ be an oriented circle bundle over an oriented closed surface $B$. A \textit{quasisection} is a closed smooth manifold ${Q}$ mapped by a generic smooth mapping $q$ to $E$ such that $\pi\circ q({Q})=B$. In the pape
Externí odkaz:
http://arxiv.org/abs/2410.22453
Spider mechanisms are the simplest examples of arachnoid mechanisms, they are one step more complicated than polygonal linkages. Their configuration spaces have been studied intensively, but are yet not completely understood. In the paper we study th
Externí odkaz:
http://arxiv.org/abs/2407.15121
It is conjectured since long that for any convex body $P\subset \mathbb{R}^n$ there exists a point in its interior which belongs to at least $2n$ normals from different points on the boundary of $P$. The conjecture is known to be true for $n=2,3,4$.
Externí odkaz:
http://arxiv.org/abs/2406.01773
Autor:
Panina, Gaiane, Živaljević, Rade
The classic Ky Fan theorem is a combinatorial equivalent of Borsuk-Ulam theorem. It is a generalization and extension of Tucker's lemma and, just like its predecessor, it pinpoints important properties of antipodal colorings of vertices of a triangul
Externí odkaz:
http://arxiv.org/abs/2404.04806
Autor:
Geints, Yury E., Panina, Ekaterina K.
Microdispersed photocatalysts based on titanium dioxide (TiO2) in the form of hollow core-shell microspheres (microcapsules) with mesoporous structure are widely demanded in modern critical technologies related to the catalysis of various chemicals,
Externí odkaz:
http://arxiv.org/abs/2402.09732
Autor:
Geints, Yu. E., Panina, E. K.
Multilayer microparticles with a liquid core and a polycomposite light-absorbing shell (microcapsules) are important components of modern bio- and medical technologies. Opening of the microcapsule shell and payload release can be realized by optical
Externí odkaz:
http://arxiv.org/abs/2402.03645
Publikováno v:
Саратовский научно-медицинский журнал, Vol 13, Iss 1, Pp 041-046 (2017)
Purpose of the study: to evaluate the prognostic value of brain natriuretic peptide (BNP) as a predictor of cardiovascular events in patients with acute coronary syndrome (ACS) within one year after hospitalization. Material and Methods. The study in
Externí odkaz:
https://doaj.org/article/a4310e523d8447e3b8bcb7cf05a6afc7
Autor:
Panina, Gaiane, Turevskii, Maksim
A triangulation of a circle bundle $ E \xrightarrow[\text{}]{\pi} B$ is a triangulation of the total space $E$ and the base $B$ such that the projection $\pi$ is a simplicial map. In the paper we address the following questions: Which circle bundles
Externí odkaz:
http://arxiv.org/abs/2311.04214
Publikováno v:
Nature Communications, Vol 15, Iss 1, Pp 1-18 (2024)
Abstract The C-terminal domain of RPB1 (CTD) orchestrates transcription by recruiting regulators to RNA Pol II upon phosphorylation. With CTD driving condensate formation on gene loci, the molecular mechanism behind how CTD-mediated recruitment of tr
Externí odkaz:
https://doaj.org/article/5617c07b006f4dc7b2e870a33e0063c5