Results 1 to 10 of about 18,151 (75)

Modification of Abel-Plana formula for functions with non-integrable branch-points [PDF]

Phys.Scr.78:015012,2008, 2007
The Abel-Plana formula is a widely used tool for calculations in Casimir type problems. In this note we present a particular explicit modification of the Generalized Abel-Plana formula for the functions with non-integrable branch-point singularities.
arxiv   +1 more source

Estimation of Poisson Autoregressive Model for Multiple Time Series [PDF]

Philippine Journal of Science, 2022, 2021
A Poisson autoregressive (PAR) model accounting for discreteness and autocorrelation of count time series data is typically estimated in the state-space modelling framework through extended Kalman filter. However, because of the complex dependencies in count time series, estimation becomes more challenging.
arxiv   +1 more source

Ramanujan and Koshliakov Meet Abel and Plana [PDF]

arXiv, 2021
The neglected Russian mathematician, N.~S.~Koshliakov, derived beautiful generalizations of the classical Abel--Plana summation formula through a setting arising from a boundary value problem in heat conduction. When we let the parameter $p$ in this setting tend to infinity, his formulas reduce to the classical Abel--Plana summation formula.
arxiv  

Equivalence of zeta function technique and Abel-Plana formula in regularizing the Casimir energy of hyper-rectangular cavities [PDF]

Mod. Phys. Lett. A29(2014)1450181, 2014
Zeta function regularization is an effective method to extract physical significant quantities from infinite ones. It is regarded as mathematically simple and elegant but the isolation of the physical divergency is hidden in its analytic continuation. By contrast, Abel-Plana formula method permits explicit separation of divergent terms. In regularizing
arxiv   +1 more source

Waveforms for the Massive MIMO Downlink: Amplifier Efficiency, Distortion and Performance [PDF]

IEEE Transactions on Communications, vol. 64, no. 12, pp. 5050-5063, Dec. 2016, 2015
In massive MIMO, most precoders result in downlink signals that suffer from high PAR, independently of modulation order and whether single-carrier or OFDM transmission is used. The high PAR lowers the power efficiency of the base station amplifiers. To increase power efficiency, low-PAR precoders have been proposed.
arxiv   +1 more source

Worldsheet from worldline [PDF]

arXiv, 2023
We take a step toward a "microscopic" derivation of gauge-string duality. In particular, using mathematical techniques of Strebel differentials and discrete exterior calculus, we obtain a bosonic string worldsheet action for a string embedded in d+1 dimensional asymptotically AdS space from multi-loop Feynman graphs of a quantum field theory of scalar ...
arxiv  

Modelling the Establishment of PAR Protein Polarity in the One-Cell C. elegans Embryo [PDF]

Biophys. J. 2008 95: 4512-4522, 2008
At the one-cell stage, the C. elegans embryo becomes polarized along the anterior-posterior axis. The PAR proteins form complementary anterior and posterior domains in a dynamic process driven by cytoskeletal rearrangement. Initially, the PAR proteins are uniformly distributed throughout the embryo.
arxiv   +1 more source

Kinematics and morphology of ionized gas in Hickson Compact Group 18 [PDF]

, 2000
We present new observations of $H\alpha $ emission in the Hickson Compact Group 18 (HCG 18) obtained with a scanning Fabry-Perot interferometer. The velocity field does not show motions of individual group members but, instead, a complex common velocity field for the whole group.
arxiv   +1 more source

EoS of Casimir vacuum of massive fields in Friedmann Universe [PDF]

, 2020
In the present paper we study equations of state of Casimir vacuum of massive scalar field and massive bispinor field in compact Friedmann Universe. With use of the Abel-Plana formula the renormalization of divergent series for calculation of the quantum means of operators is implemented.
arxiv   +1 more source

PARs: Predicate-based Association Rules for Efficient and Accurate Model-Agnostic Anomaly Explanation [PDF]

arXiv, 2023
While new and effective methods for anomaly detection are frequently introduced, many studies prioritize the detection task without considering the need for explainability. Yet, in real-world applications, anomaly explanation, which aims to provide explanation of why specific data instances are identified as anomalies, is an equally important task.
arxiv