Results 21 to 30 of about 5,130,669 (296)
IEEE transactions on energy conversion, 2020 This article proposes a reduced-order small-signal closed-loop transfer function model based on Jordan continued-fraction expansion to assess the dynamic characteristics of the droop-controlled inverter and provide the preprocessing method for the real ...
W. Rui +5 more
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Some convergence regions of branched continued fractions of special form
Karpatsʹkì Matematičnì Publìkacìï, 2013 Some circular and parabolic convergence regions for branched continued fractions of special form are established.
O.E. Baran
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Equidistribution of divergent orbits and continued fraction expansion of rationals [PDF]
Journal of the London Mathematical Society, 2017 We establish an equidistribution result for pushforwards of certain locally finite algebraic measures in the adelic extension of the space of lattices in the plane.
Ofir David, Uri Shapira
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A continued fraction resummation form of bath relaxation effect in the spin-boson model. [PDF]
Journal of Chemical Physics, 2015 In the spin-boson model, a continued fraction form is proposed to systematically resum high-order quantum kinetic expansion (QKE) rate kernels, accounting for the bath relaxation effect beyond the second-order perturbation.
Zhihao Gong +4 more
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On convergence criteria for branched continued fraction
Karpatsʹkì Matematičnì Publìkacìï, 2020 The starting point of the present paper is a result by E.A. Boltarovych (1989) on convergence regions, dealing with branched continued fraction \[\sum_{i_1=1}^N\frac{a_{i(1)}}{1}{\atop+}\sum_{i_2=1}^N\frac{a_{i(2)}}{1}{\atop+}\ldots{\atop+}\sum_{i_n=1}^N\
T.M. Antonova
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Journal of Approximation Theory, 1999 The matrix continued fraction of a function defined by its power series in \({1\over z}\) with matrix coefficients of dimension \(p\times q\) is presented as a generalisation of \(P\)-fraction. The authors give an algorithm to built the above fraction which corresponds to the extension of the Euler-Jacobi-Perron algorithm.
Sorokin, Vladimir N. +1 more
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On the convergence of multidimensional S-fractions with independent variables
Karpatsʹkì Matematičnì Publìkacìï, 2020 The paper investigates the convergence problem of a special class of branched continued fractions, i.e. the multidimensional S-fractions with independent variables, consisting of \[\sum_{i_1=1}^N\frac{c_{i(1)}z_{i_1}}{1}{\atop+}\sum_{i_2=1}^{i_1}\frac{c_{
O.S. Bodnar +2 more
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The scrambles of halton sequence and thier weaknesses [PDF]
Journal of Hyperstructures, 2020 So far, many scrambles have been introduced to break the correlation between Halton’s sequence points and improve itstwo-dimensional designs. In this paper, some of the most important scrambles that are available to scrambling the Halton sequence are ...
Behrouz Fathi Vajargah +1 more
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The random continued fraction transformation [PDF]
, 2015 We introduce a random dynamical system related to continued fraction expansions. It uses random combinations of the Gauss map and the Rényi (or backwards) continued fraction map.
Charlene Kalle +2 more
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Subexponentially increasing sums of partial quotients in continued fraction expansions [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2014 We investigate from a multifractal analysis point of view the increasing rate of the sums of partial quotients $S_{n}(x)=\sum_{j=1}^n a_{j}(x)$, where x = [a1(x), a2(x), . . .] is the continued fraction expansion of an irrational x ∈ (0, 1).
Lingmin Liao, M. Rams
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