Simple formula for a Gaussian beam with general astigmatism in a homogeneous mediumdoi:10.1134/s0030400x09060204A. B. PlachenovV. N. KudashovA. M. RadinSP MAIK Nauka/Interperiodica
Weak convergence of the Stratonovich integral with respect to a class of Gaussian processes Itô formulaSkorohod integralMalliavin calculusFractional Brownian motionFor a Gaussian process X and smooth function f, we consider a Stratonovich integral of... D Harnett,D Nualart - 《Stochastic Processes &...
Itô formulaeGaussian processesMalliavin-Skorohod calculussingular covariancesymmetric integralPaley-Wiener integralWe develop a stochastic analysis for a Gaussian... I Kruk,F Russo - 《Mathematics》 被引量: 20发表: 2010年 On the Problem of Stochastic Integral Representations of Functionals of the Brow...
Using formulas is first and foremost meant for theTableview, so to get started you’ll first want to create a new table. Next, you’re going to have to add the corresponding attribute to your item. Give your new formula attribute a name and then choose the function you need to use in ...
A product formula of Matthews [4] for the cubic Gauss sum τ3(ω) as defined in the Introduction will be applied to determine which of the three intervals (2p,p), (p,p) and (p,2p) contains the cubic Gauss sum g3(p)=∑a=0p1e2πia3/p, where p is a prime number congruent ...
Lennon, C., A Trace Formula for Certain Hecke Operators and Gaussian Hypergeometric Functions, http://arxiv.org/abs/1003.1157.Lennon, C., A Trace Formula for Certain Hecke Operators and Gaussian Hypergeometric Functions, http://arxiv.org/abs/1003.11578....
The dependence of the secondary ion yield on the formal valence of the metal in the emitted fragment ion is described by a Gaussian curve. Results from seveal metal oxides obtained by other groups have also been used for testing this dependence. 展开 ...
内容提示: arXiv:2303.07823v1 [math.PR] 14 Mar 2023A COVARIANCE FORMULA FOR THE NUMBER OF EXCURSION SETCOMPONENTS OF GAUSSIAN FIELDS AND APPLICATIONSDMITRY BELIAEV 1 , MICHAEL MCAULEY 2 , AND STEPHEN MUIRHEAD 3Abstract. We derive a covariance formula for the number of excursion or level set ...
Centrifugal Model Test Study on the Mechanical Characteristics of Shield Tunnels Influenced by Different Types of Openings for Cross Passages. Appl. Sci. 2022, 12, 6421. [Google Scholar] [CrossRef] Xuan, H.; Ning, L.I.; Standing, J.R. An adaptability study of Gaussian equation applied to...
Normal distribution, also known as the Gaussian distribution, is a probability distribution that appears as a "bell curve" when graphed. The normal distribution describes a symmetrical plot of data around its mean value, where the width of the curve is defined by the standard deviation. ...