Results 61 to 70 of about 93 (91)
Some of the next articles are maybe not open access.
Simultaneous diophantine approximations with nonmonotonic error function
Doklady Mathematics, 2011The paper under review contains the announcement of two results along with sketches of their proofs. Both are concerned with algebraic approximation. The first result concerns the inequality \[ | P(x) +d | < \psi(H(P)), \] where \(d\) is a fixed real number, \(P\) varies over the integer polynomials of degree at most \(n \geq 2\) and \(H(P)\) denotes ...
openaire +1 more source
Hausdorff Dimension and Generalized Simultaneous Diophantine Approximation
Bulletin of the London Mathematical Society, 1998Suppose that \(m\) is a positive integer, \(\underline{\tau}=(\tau_1,\dots,\tau_m)\) is a vector of positive real numbers, and \(Q\) is an infinite set of positive integers. Let \(W_Q(m;\underline{\tau})\) be the set of points \(\mathbf x=(x_1,\dots,x_m)\in \mathbb R^m\) for which the inequalities \(\|x_iq\|
openaire +1 more source
The computational complexity of simultaneous Diophantine approximation problems
23rd Annual Symposium on Foundations of Computer Science (sfcs 1982), 1982Let \(a=(a_ 1/b_ 1,...,a_ d/b_ d)\) be a rational vector. An integer q is called a best simultaneous diophantine approximation denominator (BSAD) of a if \(\{\) \(\{\) qa\(\}\) \(\}\leq \{\{q'a\}\}\) for all q'\(\in [1,q]\), where \(\{\{qa\}\}=\max (\{q_ ia_ i/b_ i\})\) is the distance to a nearest integer vector.
openaire +2 more sources
Pyrite-activated persulfate for simultaneous 2,4-DCP oxidation and Cr(VI) reduction
Chemical Engineering Journal, 2021Peng He, Jianyu Zhu
exaly
Simultaneous Diophantine Approximation
Journal of the London Mathematical Society, 1955openaire +2 more sources
Simultaneous Diophantine Approximation (II)†
Proceedings of the London Mathematical Society, 1955openaire +1 more source