Results 61 to 70 of about 584,117 (206)

Purely Coclosed G2‐Structures on Nilmanifolds—II

Mathematische Nachrichten, EarlyView.
ABSTRACT This paper completes the classification of seven‐dimensional nilpotent Lie groups endowed with a left‐invariant purely coclosed G2$\text{G}_2$‐structure, initiated in Bazzoni et al. [Mathematische Nachrichten 296 no. 6 (2023): 2236–2257], the authors provided the classification of decomposable seven‐dimensional nilpotent Lie groups and of the ...
Giovanni Bazzoni, Giorgia Petracci
wiley   +1 more source

Post-Lie conformal algebra structures on Lie conformal algebras

In this paper, we introduce and study post-Lie conformal algebras (PLCAs), a generalization of post-Lie algebras to conformal algebras. We establish an equivalence between PLCA structures and Rota-Baxter operators of weight 1 oLie conformal algebras. We also show that every PLCA induces a new Lie conformal algebra and study PLCA structures on pairs of ...
Yuan, Lamei, Tan, Yuhui
openaire   +2 more sources

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Supervised Protein Structure Classification Using Topological Persistence With DeltaFold

Proteins: Structure, Function, and Bioinformatics, EarlyView.
ABSTRACT Recent advances in protein structure prediction have considerably increased the number of available structures, underscoring the need for scalable and accurate methods to compare and classify this huge amount of data. Current approaches based on sequence alignment or structural superposition often lack sensitivity and/or are computationally ...
Joseph Nardin‐Gennequin, Gabriela Ciuperca, Céline Brochier‐Armanet, Philippe Malbos   +3 more
wiley   +1 more source

T‐800: An 800 Hz Data Glove for Precise Hand Gesture Tracking

SmartBot, EarlyView.
Hand motion capture provides critical insights into human dexterity and facilitates advancements in robotic manipulation, yet existing systems are limited by a trade‐off between temporal resolution and visual occlusion. Here, the authors present T‐800, a high‐bandwidth data glove achieving synchronized full‐hand motion capturing at 800 Hz.
Haoyang Luo, Zihang Zhao, Leiyao Cui, Saiyao Zhang, Liu Yang, Zhi Han, Xiyuan Tang, Yixin Zhu   +7 more
wiley   +1 more source

The Lie conformal algebra of a Block type Lie algebra

, 2012
17
openaire   +2 more sources

Two classes of Lie conformal superalgebras related to the Heisenberg–Virasoro Lie conformal algebra

Journal of Mathematical Physics
In this paper, we classify the Lie conformal superalgebras R=R0̄⊕R1̄, where R1̄ is of rank 1 and R0̄ is the Heisenberg–Virasoro Lie conformal algebra HV, which is a free C[∂]-module generated by L and H satisfying [LλL] = (∂ + 2λ)L, [LλH] = (∂ + λ)H, [HλH] = 0. Based on this, we construct two classes of Lie conformal superalgebras denoted by HVS(α) and
Jinrong Wang, Xiaoqing Yue
openaire   +3 more sources

New biosensors and transgenic mice for multiplex cGMP imaging

British Journal of Pharmacology, EarlyView.
Background and Purpose Cyclic guanosine monophosphate (cGMP) is a versatile second messenger that is important for human (patho‐)physiology and pharmacotherapy. Live‐cell imaging of cGMP with biosensors allows to elucidate its spatiotemporal dynamics in real time under close‐to‐native conditions. However, to monitor two separate cGMP pools or cGMP/cAMP
Markus Wolters, Martin Thunemann, Barbara Birk, Susanne Feil, Viacheslav O. Nikolaev, Moritz Lehners, Robert Feil   +6 more
wiley   +1 more source

Finite growth representations of infinite Lie conformal algebras [PDF]

Journal of Mathematical Physics, 2003
We classify all finite growth representations of all infinite rank subalgebras of the Lie conformal algebra gc1 that contain a Virasoro subalgebra.
Boyallian, Carina, Kac, Victor G., Liberati, Jose I.   +2 more
openaire   +2 more sources

WKB periods for higher order ODE and TBA equations

Journal of High Energy Physics, 2021
We study the WKB periods for the (r + 1)-th order ordinary differential equation (ODE) which is obtained by the conformal limit of the linear problem associated with the A r 1 $$ {A}_r^{(1)} $$ affine Toda field equation.
Katsushi Ito, Takayasu Kondo, Kohei Kuroda, Hongfei Shu   +3 more
doaj   +1 more source