Results 31 to 40 of about 502,181 (273)

Decomposition of Time-Ordered Products and Path-Ordered Exponentials [PDF]

open access: yes, 1998
We present a decomposition formula for $U_n$, an integral of time-ordered products of operators, in terms of sums of products of the more primitive quantities $C_m$, which are the integrals of time-ordered commutators of the same operators. The resulting
Lam, C. S.
core   +3 more sources

Exponential integrators for stochastic Schrödinger equations [PDF]

open access: yesPhysical Review E, 2020
We present a class of exponential integrators to compute solutions of the stochastic Schr dinger equation arising from the modeling of open quantum systems. In order to be able to implement the methods within the same framework as the deterministic counterpart, we express the solution using the Kunita's representation.
Jingze Li, Xiantao Li
openaire   +3 more sources

Fractional Dynamics with Depreciation and Obsolescence: Equations with Prabhakar Fractional Derivatives

open access: yesMathematics, 2022
In economics, depreciation functions (operator kernels) are certain decreasing functions, which are assumed to be equal to unity at zero. Usually, an exponential function is used as a depreciation function.
Vasily E. Tarasov
doaj   +1 more source

Rational solutions of pairs of diagonal equations, one cubic and one quadratic [PDF]

open access: yes, 2014
We obtain an essentially optimal estimate for the moment of order 32/3 of the exponential sum having argument $\alpha x^3+\beta x^2$. Subject to modest local solubility hypotheses, we thereby establish that pairs of diagonal Diophantine equations, one ...
Baker   +20 more
core   +6 more sources

The Seiberg-Witten prepotential and the Euler class of the reduced moduli space of instantons [PDF]

open access: yes, 2001
The n-instanton contribution to the Seiberg-Witten prepotential of N=2 supersymmetric d=4 Yang Mills theory is represented as the integral of the exponential of an equivariantly exact form.
Dorey N.   +5 more
core   +3 more sources

Adaptive Exponential Integrators for MCTDHF [PDF]

open access: yes, 2020
We compare exponential-type integrators for the numerical time-propagation of the equations of motion arising in the multi-configuration time-dependent Hartree-Fock method for the approximation of the high-dimensional multi-particle Schr{ }dinger equation.
Winfried Auzinger   +3 more
openaire   +3 more sources

KETAKSAMAAN INTEGRAL GRONWALL-BELLMAN UNTUK FUNGSI BERPANGKAT

open access: yesBarekeng, 2011
Integral inequality of Gronwall-Bellman is known as an integral inequality which consists of differential and integral forms. Integral inequality of Gronwall-Bellman involving several functions that some definite condition hold and integral values of ...
Monalisa E. Rijoly   +2 more
doaj   +1 more source

Exponential type convexity and some related inequalities

open access: yesJournal of Inequalities and Applications, 2020
In this manuscript, we give and study the concept of exponential type convex functions and some of their algebraic properties. We prove two Hermite–Hadamard (H-H) type integral inequalities for the newly introduced class of functions. We also obtain some
Mahir Kadakal, İmdat İşcan
doaj   +1 more source

Fractional-Modified Bessel Function of the First Kind of Integer Order

open access: yesMathematics, 2023
The modified Bessel function (MBF) of the first kind is a fundamental special function in mathematics with applications in a large number of areas.
Andrés Martín, Ernesto Estrada
doaj   +1 more source

Development Of Adaptive Moving Two–sided Exponential Smoothing Method For Restoring And Forecasting Of TIME Series [PDF]

open access: yes, 2017
Two algorithms for restoring of missing values of time series with using of adaptive moving two-sided exponential smoothing method with different initial conditions are developed in the article.
Bratus, O. (Olena)
core   +2 more sources

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