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Diophantine Approximation Generalized
Diophantine Approximation is studied in the paper from the general point of view.
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
One-sided Diophantine approximations
}$ to be a best lower or upper Diophantine approximation of the $ell$-th kind to a given $alphainmathbb{R}$. The sets of best lower and upper approximations are examined in termsThe paper deals with best one--sided (lower o...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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On the rank of certain matrices
This note is an appendix to the paper ?Osculating spaces and diophantine equations (with an Appendix by Pietro Corvaja and Umberto Zannier)? by M. Bolognesi and G. Pirola....
BA - Obecná matematika
- 2011 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Diophantine Approximations of Infinite Series and Products
This survey paper presents some old and new results in Diophantine approximations. Some of these results improve Erdos? results on irrationality. The results in irrationality, transcendence and linear independence of infinite series...
Pure mathematics
- 2016 •
- JSC
Rok uplatnění
JSC - Článek v periodiku v databázi SCOPUS
On Farey fractions
The paper is devoted to the history of Farey fractions. They are named after British geologist John Farey, Sr. (1766-1826) and have many interesting properties (for example geometrical interpretation in terms of lattice points and Ford circles) and u...
BA - Obecná matematika
- 2010 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Sharpening of the theorem of Vahlen and related theorems
We give refinements of a classical Theorem of Vahlen from Diophantine Approximation Theory.
Pure mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Autotuning for time-delay systems
is approximated by three well known methods such as Taylor and Pade approximation. Finally, the controller parameters are computed by solving Diophantine equations in the ring of proper......
BC - Teorie a systémy řízení
- 2006 •
- D
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D - Stať ve sborníku
On a theorem of Borel on diophantine approximation
A theorem of É. Borel’s asserts that one of any three consecutive convergents of a real number a, satisfies the special inequality with C. In this paper we give more precise information about the constant C....
Pure mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Second basic theorem of Hurwitz
We improve well-known second theorem of Hurwitz from Diophantine approximation theory and give the proof that the numbers $pmsqrt 2$ are the worst approximable among the irrational numbers when we omit the numbers which are...
BA - Obecná matematika
- 2016 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Robust Controllers for Time Delay Systems: Design, Analysis and Implementation
The contribution deals with the robust control design for linear systems with time delays. The proposed control synthesis is based on general solutions of Diophantine equations in the ring of Hurwitz stable and proper rational functions Rps....
BC - Teorie a systémy řízení
- 2000 •
- D
Rok uplatnění
D - Stať ve sborníku
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