Results 21 to 30 of about 169,507 (269)
Mathematics, 2020 We consider a control system defined by a linear time-varying differential equation of n-th order with uncertain bounded coefficients. The problem of exponential stabilization of the system with an arbitrary given decay rate by linear static state or ...
Vasilii Zaitsev, Inna Kim
doaj +1 more source
Multi-particle amplitudes from the four-point correlator in planar N $$ \mathcal{N} $$ = 4 SYM
Journal of High Energy Physics, 2018 A non-trivial consequence of the super-correlator/super-amplitude duality is that the integrand of the four-point correlation function of stress-tensor multiplets in planar N $$ \mathcal{N} $$ = 4 super Yang-Mills contains a certain combination of n ...
Paul Heslop, Vuong-Viet Tran
doaj +1 more source
A Mathematical Theory of Attention
CoRR, 2020 Attention is a powerful component of modern neural networks across a wide variety of domains. However, despite its ubiquity in machine learning, there is a gap in our understanding of attention from a theoretical point of view. We propose a framework to fill this gap by building a mathematically equivalent model of attention using measure theory.
James Vuckovic +2 more
openaire +3 more sources
On the mathematical theory of superfluidity [PDF]
Journal of Physics A: Mathematical and Theoretical, 2008 To be published in J.
Sewell, Geoffrey L. +1 more
openaire +2 more sources
Mathematics, 2020 We consider a linear continuous-time control system with time-invariant linear bounded operator coefficients in a Hilbert space. The controller in the system has the form of linear state feedback with a time-varying linear bounded gain operator function.
Vasilii Zaitsev, Marina Zhuravleva
doaj +1 more source
Russian Journal of Earth Sciences, 2023 We consider Bloch eigenmodes of three linear stability problems: the kinematic dynamo problem, the hydrodynamic and MHD stability problem for steady space-periodic flows and MHD states comprised of randomly generated Fourier coefficients and having energy ...
Chertovskih R, Zheligovsky V
doaj +1 more source
On Higgs decays to hadrons and the R-ratio at N4LO
Journal of High Energy Physics, 2017 We present the first determination of Higgs-boson decay to hadrons at the next-to-next-to-next-to-next-to-leading order of perturbative QCD in the limit of a heavy top quark and massless light flavours.
F. Herzog +4 more
doaj +1 more source
Russian Journal of Earth Sciences, 2023 We consider Bloch eigenmodes in three linear stability problems: the kinematic dynamo problem, the hydrodynamic and MHD stability problem for steady space-periodic flows and MHD states. A Bloch mode is a product of a field of the same periodicity, as the
Chertovskih R, Zheligovsky V
doaj +1 more source
High Resolution Seismicity Smoothing Method for Seismic Hazard Assessment
Russian Journal of Earth SciencesA high resolution smoothing method is proposed for performing local estimates of the parameters of the Gutenberg-Richter law (GR). Using this method, the smoothing radius can be chosen large enough to ensure that the condition of applicability of GR law ...
Vorobieva Inessa +4 more
doaj +1 more source