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THE DENSEST SEQUENCE IN THE *UNIT* *CIRCLE*.

, 906

"... Abstract. We exhibit the densest sequence in the unit circle T = R/Z, in this short note. xk = log 2 (2k − 1)(mod 1), k ≥ 1, ..."

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Abstract. We exhibit the densest sequence in the

*unit**circle*T = R/Z, in this short note. xk = log 2 (2k − 1)(mod 1), k ≥ 1,###
Morphological Operators on the *Unit* *Circle*

"... Abstract—Images encoding angular information are common in image analysis. Examples include the hue band of color images, or images encoding directional texture information. Applying mathematical morphology to image data distributed on the unit circle is not immediately possible, as the unit circle ..."

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Abstract—Images encoding angular information are common in image analysis. Examples include the hue band of color images, or images encoding directional texture information. Applying mathematical morphology to image data distributed on the

*unit**circle*is not immediately possible, as the*unit**circle*###
Morphological Operators on the *Unit* *Circle*

, 2001

"... Images encoding angular information are common in image analysis. Examples include the hue band of color images, or images encoding directional texture information. Applying mathematical morphology to image data distributed on the unit circle is not immediately possible, as the unit circle is not a ..."

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Images encoding angular information are common in image analysis. Examples include the hue band of color images, or images encoding directional texture information. Applying mathematical morphology to image data distributed on the

*unit**circle*is not immediately possible, as the*unit**circle*is not a###
*UNIT* *CIRCLE* ELLIPTIC BETA INTEGRALS

, 2005

"... We present some elliptic beta integrals with a base parameter on the unit circle, together with their basic degenerations. ..."

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We present some elliptic beta integrals with a base parameter on the

*unit**circle*, together with their basic degenerations.###
SYNTHESIS BY ARCS ON THE *UNIT* *CIRCLE*

"... Take a set of n arcs on the unit circle and consider the character-istic function of the set of n arcs. Think of this as a waveform, taking only the values 0 and 1. Produce a sound by generating a wavetable by sample and hold. You can think of this proce-dure as a very simple synthesizer. The questi ..."

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Take a set of n arcs on the

*unit**circle*and consider the character-istic function of the set of n arcs. Think of this as a waveform, taking only the values 0 and 1. Produce a sound by generating a wavetable by sample and hold. You can think of this proce-dure as a very simple synthesizer###
On the existence . . . rational functions on the *unit* *circle*

, 2009

"... Similar as in the classical case of polynomials, as is known, paraorthogonal rational functions on the unit circle can be used to obtain quadrature formulas of Szegő-type to approximate some integrals. In the present paper we carry out a thorough discussion of the existence of such rational function ..."

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Similar as in the classical case of polynomials, as is known, paraorthogonal rational functions on the

*unit**circle*can be used to obtain quadrature formulas of Szegő-type to approximate some integrals. In the present paper we carry out a thorough discussion of the existence of such rational###
Chebyshev constants for the *unit* *circle*

- SUBMITTED EXCLUSIVELY TO THE LONDON MATHEMATICAL SOCIETY

"... ..."

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Algebraic Integers on the *Unit* *Circle*

, 2005

"... By computing the rank of the group of unimodular units in a given number field, we provide a simple proof of the classification of the number fields containing algebraic integers of modulus 1 that are not roots of unity. For a number field K, let VK denote the set of algebraic integers in K of modul ..."

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By computing the rank of the group of unimodular

*units*in a given number field, we provide a simple proof of the classification of the number fields containing algebraic integers of modulus 1 that are not roots of unity. For a number field K, let VK denote the set of algebraic integers in K