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Embedding chain movement in James diagram for partitioning beta number

AIP Conference Proceedings, 2015
James Diagram is a graphical representation for partition any non-negative numbers. In this paper new diagrams Atc are constructed by embedding a chain movement. The first Beta numbers are obtained from the partition and denoted by b1. Then b2 is obtained from b1.
Eman F. Mohommed   +3 more
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Three-dimensional analysis of the unidirectional oscillatory flow around a circular cylinder at low Keulegan–Carpenter and $\beta$ numbers

Journal of Fluid Mechanics, 2004
In this paper, the oscillating flow around a circular cylinder is investigated numerically using both a three-dimensional and a two-dimensional model. Two important three-dimensional regimes of the Tatsuno & Bearman (J. Fluid Mech. vol. 211, 1990, p.
NEHARI D., ARMENIO V., BALLIO, FRANCESCO
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Conjugates of Beta-Numbers and the Zero-Free Domain for a Class of Analytic Functions

Proceedings of the London Mathematical Society, 1994
A real number \(\theta > 1\) is said to be a beta-number if the orbit of \(x = 1\) under the \(\theta\)-transformation, \(T_ \theta : x \to \theta x \text{mod} 1\) is a finite set. It is a simple beta-number if the orbit eventually contains \(x = 0\). Beta numbers are algebraic integers and the location of their Galois conjugates (other than \(\theta\)
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Weil-Petersson curves, $\beta$-numbers, and minimal surfaces

Annals of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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