Results 1 to 10 of about 183,405 (137)

A Brief Comment on Post inversion formula for the Laplace transform [PDF]

arXiv, 2006
In this paper we comment the Post inversion formula for Laplace transform, and its possible application to the branch of Analytic Number theory (Arithmetical functions, RH and PNT), involving a condition in the form of iterated limit to calculate the Riemann Hypothesis.
arxiv   +3 more sources

Lagrange Inversion Formula by Induction [PDF]

The American Mathematical Monthly 130 (2023), 944-948, 2023
We present a simple inductive proof of the Lagrange Inversion Formula.
arxiv   +1 more source

Physics-based derivation of a formula for the mutual depolarization of two post-like field emitters [PDF]

J. Phys.: Condens. Matter 30, 375703 (2018), 2018
Recent analyses of the field enhancement factor (FEF) from multiple emitters have revealed that the depolarization effect is more persistent with respect to the separation between the emitters than originally assumed. It has been shown that, at sufficiently large separations, the fractional reduction of the FEF decays with the inverse cube power of ...
arxiv   +1 more source

On the inversion of the Laplace transform (In Memory of Dimitris Gatzouras) [PDF]

arXiv, 2022
The Laplace transform is a useful and powerful analytic tool with applications to several areas of applied mathematics, including differential equations, probability and statistics. Similarly to the inversion of the Fourier transform, inversion formulae for the Laplace transform are of central importance; such formulae are old and well-known (Fourier ...
arxiv  

Mitigating measurement errors in multi-qubit experiments [PDF]

Phys. Rev. A 103, 042605 (2021), 2020
Reducing measurement errors in multi-qubit quantum devices is critical for performing any quantum algorithm. Here we show how to mitigate measurement errors by a classical post-processing of the measured outcomes. Our techniques apply to any experiment where measurement outcomes are used for computing expected values of observables.
arxiv   +1 more source

Strong-field scattering of two black holes: Numerical Relativity meets Post-Minkowskian gravity [PDF]

, 2022
We compare numerical relativity (NR) data on the scattering of equal-mass, non-spinning binary black holes to various analytical predictions based on post-Minkowskian (PM) results. While the usual sequence of PM-expanded scattering angles shows a rather poor convergence towards NR data, we find that a reformulation of PM information in terms of ...
arxiv   +1 more source

Latexify Math: Mathematical Formula Markup Revision to Assist Collaborative Editing in Math Q&A Sites [PDF]

arXiv, 2021
Collaborative editing questions and answers plays an important role in quality control of Mathematics Stack Exchange which is a math Q&A Site. Our study of post edits in Mathematics Stack Exchange shows that there is a large number of math-related edits about latexifying formulas, revising LaTeX and converting the blurred math formula screenshots to ...
arxiv  

Direct evidence for inversion formula in multifractal financial volatility measure [PDF]

Chinese Phys. Lett. 26, 028901, (2009), 2008
The inversion formula for conservative multifractal measures was unveiled mathematically a decade ago, which is however not well tested in real complex systems. In this Letter, we propose to verify the inversion formula using high-frequency turbulent financial data.
arxiv   +1 more source

Generalized Post-Widder inversion formula with application to statistics [PDF]

arXiv, 2015
In this work we derive an inversion formula for the Laplace transform of a density observed on a curve in the complex domain, which generalizes the well known Post-Widder formula. We establish convergence of our inversion method and derive the corresponding convergence rates for the case of a Laplace transform of a smooth density.
arxiv  

Towards the 4th post-Newtonian Hamiltonian for two-point-mass systems [PDF]

, 2012
The article presents the conservative dynamics of gravitationally interacting two-point-mass systems up to the eight order in the inverse power of the velocity of light, i.e.\ 4th post-Newtonian (4PN) order, and up to quadratic order in Newton's gravitational constant.
arxiv   +1 more source