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Conic sections in chromosome analysis [PDF]

open access: possiblePattern Recognition, 1970
Abstract Chromosome analysis is complicated in that chromosomes of the same group appear in different shapes. We consider shape description in terms of conic sections. An individual chromosome is defined as a non-negative function f on the real plane, subject to certain constraints on position, size, orientation etc.
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conic sections

2019
The curves known as conic sections, the ellipse, hyperbola, and parabola, were investigated intensely in Greek mathematics. The most famous work on the subject was the Conics, in eight books by Apollonius of Perga, but conics were also studied earlier by Euclid and Archimedes, among others. Conic sections were important not only for purely mathematical
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Conic that best fits an off-axis conic section

Annual Meeting Optical Society of America, 1986
To help in the fabrication of off-axis conic sections, we present a method of approximating this off-axis section by an on-axis conic centered on the portion desired. This method is based on the continuum least-squares method to obtain the vertex’s curvature and conic constant of the fitted conic on-axis, given the curvature at the vertex and the conic
O, Cardona-Nunez   +4 more
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Conic Sections

1992
Abstract When The Greek geometers had exhausted, as they thought, the more obvious and interesting properties of figures made up of straight lines and circles, they turned to the study of other curves; and, with their almost infallible instinct for hitting upon things worth thinking about, they chiefly devoted themselves to conic ...
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Moiré Fringes and the Conic Sections

The College Mathematics Journal, 1990
(1990). Moire Fringes and the Conic Sections. The College Mathematics Journal: Vol. 21, No. 5, pp. 370-378.
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Kant on conic sections

Canadian Journal of Philosophy, 2014
This paper tries to make sense of Kant’s scattered remarks about conic sections to see what light they shed on his philosophy of mathematics. It proceeds by confronting his remarks with the source that seems to have informed his thinking about conic sections: the Conica of Apollonius. The paper raises questions about Kant’s attitude towards mathematics
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The Golden Section and Conic Sections

The Mathematics Teacher, 1974
The points of intersection of various conics are shown to involve the Golden Section.
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The Eccentricity of a Conic Section

The College Mathematics Journal, 2003
(2003). The Eccentricity of a Conic Section. The College Mathematics Journal: Vol. 34, No. 2, pp. 116-121.
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Vibration of FG-CNT and FG-GNP sandwich composite coupled Conical-Cylindrical-Conical shell

Composite Structures, 2021
Emad Sobhani   +2 more
exaly  

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