Badly approximable points
Badly approximable points on manifolds
... regarding badly approx- imable points on submanifolds of a Euclidean space and Schmidt’s problem regarding the intersections of the sets of weighted badly approximable ...lattice points ...
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Badly approximable points on planar curves and winning
... Denote by Bad (i, j) the set of (i, j)-badly approximable points in R 2 . In the case i = j = 1/2, the set under consideration is the standard set of simultaneously badly approximable ...
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Badly approximable points in twisted Diophantine approximation and Hausdorff dimension
... In the 1-dimensional case, it is well known that the set of badly ap- proximable numbers has Lebesgue measure zero but maximal Hausdorff dimension. In the n-dimensional case, it is also a classical result that ...
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Badly approximable points in twisted Diophantine approximation and Hausdorff dimension
... Best approximations vectors have often been used in proofs, but not al- ways explicitly. In particular, Voronoi [24] selected some points in a lattice that correspond exactly to the best approximation vectors (see ...
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A note on badly approximable linear forms on manifolds
... regarding badly approximable points in sub- manifolds of a Euclidian ...weighted badly ap- proximable points on any non-degenerate C 1 submanifold of R n ...
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Uniformly de Bruijn sequences and symbolic Diophantine approximation on fractals
... rational points of the Cantor set (see Section 6), and a Dirichlet-type theorem was proven [12, Corollary ...“badly approximable” ...of badly approximable points, the set of ...
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Decaying and non-decaying badly approximable numbers
... of badly approximable points which are not only non-decaying, but non-decaying when multiplied by any chosen sequence of rational numbers, with as little decay in the Lagrange values as ...
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Decaying and non-decaying badly approximable numbers
... of badly approximable points which are not only non-decaying, but non-decaying when multiplied by any chosen sequence of rational numbers, with as little decay in the Lagrange values as ...
8
Decaying and non-decaying badly approximable numbers
... of badly approximable points which are not only non-decaying, but non-decaying when multiplied by any chosen sequence of rational numbers, with as little decay in the Lagrange values as ...
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A note on badly approximable linear forms on manifolds
... regarding badly approximable points in sub- manifolds of a Euclidian ...weighted badly ap- proximable points on any non-degenerate C 1 submanifold of R n ...
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Non-planarity and metric Diophantine approximation for systems of linear forms
... We remark that the equivalence given by Lemma 6.3 is specific to the notion of ex- tremality and cannot be obtained in relation to the more ‘fine tuned’ forms of Diophantine approximation appearing in Khintchine type ...
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A note on badly approximable linear forms on manifolds
... regarding badly approximable points in sub- manifolds of a Euclidian ...weighted badly ap- proximable points on any non-degenerate C 1 submanifold of R n ...
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A note on badly approximable linear forms on manifolds
... regarding badly approximable points in sub- manifolds of a Euclidian ...weighted badly ap- proximable points on any non-degenerate C 1 submanifold of R n ...
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Uniformly de Bruijn sequences and symbolic Diophantine approximation on fractals
... are) badly symbolically approximable numbers whose base b expan- sions are not uniformly de ...of badly symbolically approximable numbers was given in [11, Lemma ...of badly ...
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How badly does Europe need China?
... The true cost of a Chinese loan under these circumstances would become impossibly high from all points of view. External creditors could extract terms through the IMF which would give them the same power as they ...
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Random Number Generators Can Be Fooled to Behave Badly
... From Table 7 we can easily observe that when the bias is increased the number of samples that pass H i is lower than the corrector in the case of Von Neumann amplifiers.. As in the case [r] ...
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Ideal Amenability of Banach Algebras and Some Hereditary Properties
... We know that, the approximation property is not necessary for the weak amenability of the algebra of approximable operators on a Banach space [1, Corollary 3.5]. Also there are some Banach spaces E with the ...
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Continuity of homomorphisms and derivations from algebras of approximable and nuclear operators
... These three automatic continuity questions of when homomorphisms, derivations, and point derivations from a Banach algebra are continuous have been extensively studied for various specia[r] ...
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How Badly Do You Want to Kill Your Father?
... performance deemed unsuitable by the judgment of the visitors (from whom much of the ‘work’ sprung) were discarded. We then witness the following change (note the date): ‘In many ways Staniewski’s fourth performance, ...
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Metrical Diophantine approximation for quaternions
... limit points of a discrete group acting on hyperbolic space; while yet another is ‘algebraic’, where the field R is replaced by other fields, skew-fields or division algebras, and Q is replaced by the field of ...
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