Results 31 to 40 of about 919,859 (183)

On a class of solvable difference equations generalizing an iteration process for calculating reciprocals

Advances in Difference Equations, 2021
The well-known first-order nonlinear difference equation y n + 1 = 2 y n − x y n 2 , n ∈ N 0 , $$ y_{n+1}=2y_{n}-xy_{n}^{2}, \quad n\in {\mathbb {N}}_{0}, $$ naturally appeared in the problem of computing the reciprocal value of a given nonzero real ...
Stevo Stević
doaj   +1 more source

A Delayed Black and Scholes Formula I [PDF]

, 2006
In this article we develop an explicit formula for pricing European options when the underlying stock price follows a non-linear stochastic differential delay equation (sdde). We believe that the proposed model is sufficiently flexible to fit real market
Bachelier L., Bates D.S, Baxter M., Cootner P.H., Elsanousi I., Gyula Pap, Hida T., Itô K., Kallianpur G., Karatzas I., Kloeden P.E., Kloeden P.E., Kolmanovskii V.B., Kunita H., Mania M., Mercedes Arriojas, Merton R.C., Mohammed S.-E.A., Mohammed S.-E.A., Salah-Eldin Mohammed, Yaozhong Hu, Øksendal B.   +21 more
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Explicitly Invertible Approximations of the Gaussian Q-Function: A Survey

IEEE Open Journal of the Communications Society, 2023
Communications and information theory use the Gaussian $Q$ -function, a positive and decreasing function, across the literature. Its approximations were created to simplify mathematical study of the Gaussian $Q$ -function expressions. This is important
Alessandro Soranzo, Francesca Vatta, Massimiliano Comisso, Giulia Buttazzoni, Fulvio Babich   +4 more
doaj   +1 more source

An asymptotic sampling formula for the coalescent with Recombination

, 2010
Ewens sampling formula (ESF) is a one-parameter family of probability distributions with a number of intriguing combinatorial connections. This elegant closed-form formula first arose in biology as the stationary probability distribution of a sample ...
Jenkins, Paul A., Song, Yun S.
core   +1 more source

Euler characteristic of the configuration space of a complex

, 2001
A closed form formula (generating function) for the Euler characteristic of the configuration space of $\scriptstyle n$ particles in a simplicial complex is given.Comment: 6 pages, no ...
Gal, S. R.
core   +1 more source

Closed-form formula on quantum factorization effectiveness [PDF]

Quantum Information Processing, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

An Exact Formula for the Average Run Length to False Alarm of the Generalized Shiryaev-Roberts Procedure for Change-Point Detection under Exponential Observations

, 2014
We derive analytically an exact closed-form formula for the standard minimax Average Run Length (ARL) to false alarm delivered by the Generalized Shiryaev-Roberts (GSR) change-point detection procedure devised to detect a shift in the baseline mean of a ...
A Novikov, A Tartakovsky, AG Tartakovsky, AG Tartakovsky, AG Tartakovsky, AG Tartakovsky, AG Tartakovsky, AN Shiryaev, AN Shiryaev, AN Shiryaev, AS Polunchenko, AS Polunchenko, AS Polunchenko, AS Polunchenko, AS Polunchenko, AS Polunchenko, B Yakir, ES Page, FF Gan, FF Gan, G Lorden, GV Moustakides, HV Poor, J DeLucia, M Pollak, M Pollak, M Pollak, M Pollak, M Woodroofe, R Kenett, R Kenett, S Knoth, S Vardeman, SW Roberts, SW Roberts, VV Veeravalli, Y Mei, Y Mevorach   +37 more
core   +1 more source

Taylor’s series expansions for real powers of two functions containing squares of inverse cosine function, closed-form formula for specific partial Bell polynomials, and series representations for real powers of Pi

Demonstratio Mathematica, 2022
In this article, by virtue of expansions of two finite products of finitely many square sums, with the aid of series expansions of composite functions of (hyperbolic) sine and cosine functions with inverse sine and cosine functions, and in the light of ...
Qi Feng
doaj   +1 more source

On the Chi square and higher-order Chi distances for approximating f-divergences

, 2013
We report closed-form formula for calculating the Chi square and higher-order Chi distances between statistical distributions belonging to the same exponential family with affine natural space, and instantiate those formula for the Poisson and isotropic ...
Nielsen, Frank, Nock, Richard
core   +1 more source

Closed-Form Formula of the Transverse Dynamic Stiffness of a Shallowly Inclined Taut Cable

Shock and Vibration, 2014
The segmented vibration-governed equations and their general solutions for cables acted upon by intermediate transverse forces are derived by applying Hamilton’s principle. Including the effects of sagging, flexible stiffness, clamped boundary conditions,
Dan-hui Dan, Zu-he Chen, Xing-fei Yan
doaj   +1 more source