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pro vyhledávání: '"A, Brzezinski"'
It is shown that any Lie affgebra, that is an algebraic system consisting of an affine space together with a bi-affine bracket satisfying affine versions of the antisymmetry and Jacobi identity, is isomorphic to a Lie algebra together with an element
Externí odkaz:
http://arxiv.org/abs/2409.01996
Autor:
Chwilczyński, Sebastian, Trębacz, Kacper, Cyganik, Karol, Małecki, Mateusz, Brzezinski, Dariusz
Current interest in deep learning captures the attention of many programmers and researchers. Unfortunately, the lack of a unified schema for developing deep learning models results in methodological inconsistencies, unclear documentation, and proble
Externí odkaz:
http://arxiv.org/abs/2408.16285
Autor:
Brzeziński, Juliusz, Stevens, Jan
Kronecker observed that either all roots or only one root of a solvable irreducible equation of odd prime degree with integer coefficients are real. This gives a possibility to construct specific examples of equations not solvable by radicals. A rela
Externí odkaz:
http://arxiv.org/abs/2406.14221
Lie brackets or Lie affgebra structures on several classes of affine spaces of matrices are studied. These include general normalised affine matrices, special normalised affine matrices, anti-symmetric and anti-hermitian normalised affine matrices an
Externí odkaz:
http://arxiv.org/abs/2403.05142
Connections between heaps of modules and (affine) modules over rings are explored. This leads to explicit, often constructive, descriptions of some categorical constructions and properties that are implicit in universal algebra and algebraic theories
Externí odkaz:
http://arxiv.org/abs/2311.01979
Autor:
Brzeziński, Tomasz
The affine space of traceless complex matrices in which the sum of all elements in every row and every column is equal to one is presented as an example of an affine space with a Lie bracket or a Lie affgebra.
Comment: 8 pages; XL Workshop on Ge
Comment: 8 pages; XL Workshop on Ge
Externí odkaz:
http://arxiv.org/abs/2310.11930
Autor:
Brzeziński, Tomasz, Papworth, James
Lie algebras are extended to the affine case using the heap operation, giving them a definition that is not dependent on the unique element 0, such that they still adhere to antisymmetry and Jacobi properties. It is then looked at how Nijenhuis brack
Externí odkaz:
http://arxiv.org/abs/2310.08979
Autor:
Alexander Wlodawer, Zbigniew Dauter, Pawel Rubach, Wladek Minor, Joanna I. Loch, Dariusz Brzezinski, Miroslaw Gilski, Mariusz Jaskolski
Publikováno v:
IUCrJ, Vol 11, Iss 6, Pp 966-976 (2024)
The absence of solvent molecules in high-resolution protein crystal structure models deposited in the Protein Data Bank (PDB) contradicts the fact that, for proteins crystallized from aqueous media, water molecules are always expected to bind to the
Externí odkaz:
https://doaj.org/article/34e7ad461dbc4d8db9c0437fa3c8e9c6
Autor:
Ana Paula Lobez, Fei Wu, Justin M. Di Trani, John L. Rubinstein, Mikael Oliveberg, Peter Brzezinski, Agnes Moe
Publikováno v:
Nature Communications, Vol 15, Iss 1, Pp 1-9 (2024)
Abstract Recent studies have established that cellular electrostatic interactions are more influential than assumed previously. Here, we use cryo-EM and perform steady-state kinetic studies to investigate electrostatic interactions between cytochrome
Externí odkaz:
https://doaj.org/article/738fcf75ed4f40e2b9d85af5aa5ca206
Autor:
Andrzej Brzezinski, Tomasz Dybicz, Karolina Jesionkiewicz-Niedzinska, Piotr Olszewski, Beata Osinska, Piotr Szagała, Łukasz Szymanski
Publikováno v:
Archives of Civil Engineering, Vol vol. 70, Iss No 3, Pp 257-274 (2024)
The COVD-19 pandemic has changed the mobility patterns of city dwellers worldwide. These changes apply to the number of trips made, their durations and directions as well as transport modes chosen for travelling purposes. In general, although the num
Externí odkaz:
https://doaj.org/article/26e28f54997c48f88a7c207928dad471