Higher class number and strong approximation
Normal approximation for strong demimartingales
... − → σN as n → ∞ where N is a standard normal random variable. The above conjecture has not been proven and the problem remains open. This paper aims to show that the result of Theorem 5 can be employed in order to obtain ...
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Legendre approximation solution for a class of higher-order Volterra integro-differential equations
... 6. Conclusion In this work, we have proposed the Legendre wavelet meth- od (LWM) for solving the boundary value problems for a class of higher order nonlinear Volterra integro-differential equations. The ...
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On the Strong Approximation of Pure Jump Processes
... 1 Introduction As one tries to build more realistic models in economics, finance, biology, social sciences, chemistry, physics and other areas, stochastic effects need to be taken into account. In certain areas, such as ...
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On the Strong Approximation of Jump-Diffusion Processes
... limited class of jump-diffusion SDEs admits explicit solutions, there is a strong need for the development of numerical ...of strong discrete time approximations of SDEs driven by Wiener processes ...
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Strong Approximation of Homeomorphisms of Finite Dirichlet Energy
... We need an elementary lemma. Lemma 2.5. Let h : X onto −−→ Y be a homeomorphism between ` -connected Jordan domains and suppose that it extends continuously up to the boundary. Then the extended map h : X −−→ Y is ...
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Strong approximation for Itô stochastic differential equations
... a class of semi-implicit two-stage stochastic Runge-Kutta methods (SRKs) of strong global order one, with minimum principal er- ror constants are ...
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The Inertial Manifold for a Class of Nonlinear Higher Order Coupled Kirchhoff Equations with Strong Linear Damping
... It is well known that early researches on inertial manifold have yielded consi- derable results. In 1988, the concept of spectral barriers was utilized in the Hil- How to cite this paper: Lin, G.G. and Hu, L.J. (2018) ...
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Successive Approximation of p Class Towers
... the number of contestants ...a number field F and of an unramified abelian p -extension E F , we are able to provide a theoretical proof of the realization of certain 3-groups S with maximal class by ...
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Contextual approximation and higher order procedures
... Thus, the word actually represents an accepting run on w. u t Our hardness argument consists in translating the above lemma inside IA k 1 . To that end, we shall show how to capture L 2 , L 3 , L 4 and, ultimately, L 5 ...
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Regularity and approximation of strong solutions to rate independent systems
... a number of ...older-regular strong solutions for a class of rate-independent ...additional higher regularity re- sults that guarantee the uniqueness of strong ...Rothe ...
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A branching particle system approximation for a class of FBSDEs
... a class of coupled forward- backward stochastic differential equations (FBSDEs) is proposed by using branching particle systems in a random ...the number of initial particles and α < 1 2 is a fixed ...
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Best uniform approximation to a class of rational functions
... Best approximation; Chebyshev polynomial; Uniform norm ...Best approximation by polynomials is an important subject in approximation theory and has a large number of ...
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Approximation Hardness for A Class of Sparse Optimization Problems
... three factors: (i) properties of the regularization penalty λ · κ; (ii) data size n; and (iii) dimension or number of variables d. This result illustrates a fundamental gap that can not be closed by any ...
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Shape Approximation Based on Higher-Degree Polynomials
... Shape Approximation Based on Higher-Degree Polynomials Nikolay Dikusar 1 1 Laboratory of Information Technology, Joint Institute for Nuclear Research, Dubna, Russia ...piecewise approximation of 12th ...
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Violation of particle number conservation in the it GW approximation
... particle number from the Green’s function in the GW approximation can be derived strictly analytically, without any additional inaccuracies that have previously beset numerical ...particle number ...
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... Page 2 - 4 Listen, analyse, act. We are within your reach at all times to provide you with first-class service, maximum operational reliability and top support. More than 50 national representatives in all 5 ...
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APPROXIMATION OF THE DIFFERENTIATION OPERATOR ON THE CLASS OF FUNCTIONS ANALYTIC IN AN ANNULUS
... Best approximation of operators, Optimal recovery, Analytic ...a number of related extremal problems for the differentiation operator on the class of functions analytic in an ...the class of ...
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Higher order derivatives of approximation polynomials on \(\mathbb{R}\)
... Throughout C, C , C , . . . denote positive constants independent of n, x, t. The same sym- bol does not necessarily denote the same constant in different occurrences. We denote the class of polynomials with ...
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Higher rank Bohr sets and multiplicative diophantine approximation
... are better-behaved. Perhaps the order of magnitude is generically (log N ) k , as is known when k = 2 (see [4, §1.2.4]). 1.3.3. A special case of the Duffin–Schaeffer conjecture. In the course of our proof of Theorem ...
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Higher Order Approximation of IV Estimators with Invalid Instruments
... includes higher-order bias from many/invalid instruments as well as higher-order variances, and this has not been avail- able in the ...MSE approximation in this paper not only depends on the ...
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