Results 121 to 130 of about 20,841 (150)
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The center problem for a class of quintic systems with Cassini ovals
Bulletin Des Sciences MathematiquesMuhammad Marwan
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Light scattering simulation by concave, peanut-shaped silver nanoparticles modeled on Cassini-ovals
Conference on Electromagnetic and Light Scattering, 2007Yuri Eremin, Thomas Wriedt
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Kepler's ellipse, Cassini's oval and the trajectory of planets
European Journal of Physics, 2014Summary: In this article, we discuss the similarities and differences between Kepler's ellipse and Cassini's oval with a small eccentricity. We show that these curves are barely distinguishable when the planetary orbits of our solar system are considered and that, from a numerical viewpoint, it is difficult to decide in favour of one of them.
B Morgado, V Soares
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Cassini, his ovals and a space probe to Saturn
The Mathematical Gazette, 1997On 6 October 1997 NASA plans to launch a space probe named Cassini which, if all goes to plan, will follow a convoluted path which will take it past Venus in April 1998 and again in June 1999 before it repasses close to Earth in August 1999. By then it will have gained enough speed to set out
Ann E. Hirst, E. Keith Lloyd
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On an alternative to Gerschgorin circles and ovals of Cassini
Numerische Mathematik, 2003Previous ideas of the author [SIAM J. Matrix Anal. Appl. 22, 1027-1037 (2001; Zbl 0986.15015)] are extended and used to establish a new result on the localization of the real eigenvalues of a real matrix. A simple example is given which shows the new bounds can be sharper than those given by Gerschgorin's theorem and Brauer's theorem on the ovals of ...
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Ovals of Cassini for Toeplitz matrices
Linear and Multilinear Algebra, 2011Both the Gershgorin and Brauer eigenvalue inclusion sets reduce to a single disc when applied to a matrix with a constant main diagonal. We show that a union of ovals of Cassini containing all the eigenvalues of such a matrix can nonetheless be derived and that this union is guaranteed to lie inside the Brauer set. We then apply our results to Toeplitz
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Kepler ellipse or Cassini oval?
European Journal of Physics, 1994At the time of Newton, the astronomer J.D. Cassini suggested that the orbit of a planet is a 'Cassini oval'. This idea is re-examined from a geometrical point of view.
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Differential subordination properties for functions associated with the Cassini’s oval
AIP Conference Proceedings, 2015Numerous works have been done in obtaining properties involving differential subordination implications. This paper continues such efforts by considering the analytic function p and obtains differential subordination relations involving 1+βp′(z)pk(z).
C. E. Wong, S. Abdul Halim
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A single oval of Cassini for the zeros of a polynomial
Linear and Multilinear Algebra, 2012We derive two ovals of Cassini, each containing all the zeros of a polynomial. The computational cost to obtain these ovals is similar to that of the Brauer set for the companion matrix of a polynomial, although they are frequently smaller. Their derivation is based on the Gershgorin set for an appropriate polynomial of the companion matrix.
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Elastic buckling of externally pressurized Cassini oval shells with various shape indices
Thin-Walled Structures, 2018Abstract This study examines the effect of shape index on the elastic buckling of Cassini oval shells under uniform external pressure. Shells are evaluated under a uniform wall thickness (2 mm) and capacity ( 3.63 × 10 6 mm3), with the shape index, k c = c / a , ranging from 0 to 0.99.
Jian Zhang +5 more
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