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Quintic function

About: Quintic function is a research topic. Over the lifetime, 1677 publications have been published within this topic receiving 26780 citations.


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01 Jan 2000
TL;DR: Here the cases of approximation order O(h(sup 8)) are studied which need piecewise quartic curves in the plane and piecewise quinticCurves in space.
Abstract: : Parametric approximation of curves offers the possibility of increasing the order of approximation by using the additional parameters in the parameterization of the curve. This has been studied in several papers, see e.g.,. The resulting problems are highly nonlinear. Here the cases of approximation order O(h(sup 8)) are studied which need piecewise quartic curves in the plane and piecewise quintic curves in space.

10 citations

Journal ArticleDOI
TL;DR: This work establishes lists for each signature of tenth degree number fields containing a totally real quintic subfield and of discriminant less than 10 13 in absolute value and examines the existence of several non-isomorphic fields with the same discriminants.
Abstract: In this work, we establish lists for each signature of tenth degree number fields containing a totally real quintic subfield and of discriminant less than 10 13 in absolute value. For each field in the list we give its discriminant, the discriminant of its subfield, a relative polynomial generating the field over one of its subfields, the corresponding polynomial voer Q, and the Galois group of its Galois closure. We have examined the existence of several non-isomorphic fields with the same discriminants, and also the existence of unramified extensions and cyclic extensions.

10 citations

Journal ArticleDOI
TL;DR: By using the quintic B-spline collocation method, n -dimensional stochastic Ito-Volterra integral equation can be reduced to a linear or nonlinear system of algebraic equations.

10 citations

Journal ArticleDOI
TL;DR: In this paper, the propagation behavior of a Gaussian beam in cubic quintic nonlinear medium with and without absorption or gain is investigated and a governing differential equation for the evolution of beam width with the distance of propagation has been derived using the standard parabolic equation approach.
Abstract: In this paper, we have investigated the propagation behavior of a Gaussian beam in cubic quintic nonlinear medium with and without absorption or gain. A governing differential equation for the evolution of beam width with the distance of propagation has been derived using the standard parabolic equation approach. By solving the governing equation numerically for different sets of parameters, we have shown that spatial solitons of fixed width and desired intensity and of fixed intensity and desired width are possible. Such liberty does not exist in other saturable media. We have also investigated self-tapering and self-uptapering of spatial solitons in the presence of absorption or gain and showed that the rate of self-tapering/uptapering is not only controlled by the magnitude of absorption or gain but also by the values of cubic and quintic terms. It is revealed that by self-tapering, the smallest achievable soliton width decreases/increases by increasing the magnitude of the cubic/quintic term. It is also revealed that the smallest achievable soliton width by self-tapering, is smaller for a larger initial width.

10 citations

Journal ArticleDOI
TL;DR: The moduli space of stable rank two vector bundles of degree one on a very general quintic surface is irreducible for all $c_2\geq 4$ and empty otherwise as discussed by the authors.
Abstract: The moduli space $M(c_2)$, of stable rank two vector bundles of degree one on a very general quintic surface $X\subset \pp^3$, is irreducible for all $c_2\geq 4$ and empty otherwise.

10 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202397
2022254
2021109
2020104
201993
201893