Results 21 to 30 of about 1,164,817 (286)
On the closedness of approximation spectra [PDF]
, 2009 Generalizing Cusick's theorem on the closedness of the classical Lagrange spectrum for the approximation of real numbers by rational ones, we prove that various approximation spectra are closed, using penetration properties of the geodesic flow in cusp ...
Parkkonen, Jouni, Paulin, Frédéric
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Approximating L2-invariants, and the Atiyah conjecture [PDF]
, 2003 Let G be a torsion free discrete group and let \bar{Q} denote the field of algebraic numbers in C. We prove that \bar{Q}[G] fulfills the Atiyah conjecture if G lies in a certain class of groups D, which contains in particular all groups which are ...
Atiyah +21 more
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Characteristic approximation properties of quadratic irrationals
International Journal of Mathematics and Mathematical Sciences, 1978 Some characteristic approximation properties of quadratic irrationals are studied in this paper. It is shown that the limit points of the sequence δn form a subset C(x), and D(x) can be generated from C(x) in a relatively simple way.
W. B. Jurkat, A. Peyerimhoff
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ON MULTIPLICATIVELY BADLY APPROXIMABLE NUMBERS [PDF]
Mathematika, 2012 22 ...
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Uniform Semiclassical Approximation for the Wigner $6j$ Symbol in Terms of Rotation Matrices [PDF]
, 2009 A new uniform asymptotic approximation for the Wigner $6j$ symbol is given in terms of Wigner rotation matrices ($d$-matrices). The approximation is uniform in the sense that it applies for all values of the quantum numbers, even those near caustics. The
Littlejohn, Robert G., Yu, Liang
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On some inequalities for the approximation numbers of the sum and product of operators
Journal of Numerical Analysis and Approximation Theory, 2005 We prove the inequalities:\begin{equation}\textstyle\sum\limits_{n=1}^{k} a_{n} \left(\textstyle\sum\limits_{i=1}^{r} S_{i}\right) \le r\textstyle\sum\limits_{n=1} ^{k}\, \textstyle\sum\limits_{i=1}^{r}a_{n}(S_{i}),\end{equation}\begin{equation ...
Nicolae Tiţa
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Diophantine approximation of Mahler numbers
, 2015 Suppose that $F(x)\in\mathbb{Z}[[x]]$ is a Mahler function and that $1/b$ is in the radius of convergence of $F(x)$. In this paper, we consider the approximation of $F(1/b)$ by algebraic numbers.
Bell, Jason +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2020 In this paper, block pulse functions and hybrid Legendre polynomials are introduced. The estimators of a function $f$ having first and second derivative belonging to $Lip_\alpha[a,b]$ class, $0 < \alpha \leq 1$, and $a$, $b$ are finite real numbers, by ...
S. Lal, V.K. Sharma
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EXACT APPROXIMATIONS OF OMEGA NUMBERS [PDF]
International Journal of Bifurcation and Chaos, 2007 A Chaitin Omega number is the halting probability of a universal prefix-free Turing machine. Every Omega number is simultaneously computably enumerable (the limit of a computable, increasing, converging sequence of rationals), and algorithmically random (its binary expansion is an algorithmic random sequence), hence uncomputable. The value of an Omega
Calude, Cristian S., Dinneen, Michael J.
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Journal of Applied Mathematics, 2014 Taking into account that interval-valued fuzzy numbers can provide more flexibility to represent the imprecise information and interval-valued trapezoidal fuzzy numbers are widely used in practice, this paper devotes to seek an approximation operator ...
Zengtai Gong, Shexiang Hai
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