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DESTRUCTION OF INVARIANT CURVES IN THE RESTRICTED CIRCULAR PLANAR THREE-BODY PROBLEM BY USING COMPARISON OF ACTION
INVARIANT CURVES RESTRICTED CIRCULAR PLANAR THREE-BODY PROBLEM
2015/9/25
The classical principle of least action says that orbits of mechanical systems extremize action; an important subclass are those orbits that minimize action. In this paper we utilize this principle al...
Investigating the multimodality of multivariate data with principal curves
Multimodality Principal curves
2015/8/20
We propose a simple method to assess the number of subpopulations in multivariate data
by projecting the data on its principal curve and then applying Silverman’s bandwidth test
to the resulting uni...
Null mannheim curves in the minkowski 3-space E13
Mannheim curve null curve Minkowski space
2011/4/6
In this study, we give the definition of null Mannheim curve with timelike or spacelike Mannheim partner curve in the Minkowski 3-space E 13. We get the necessary and sufficient conditions for the nul...
An algorithm to enhance elliptic curves scalar multiplication combining MBNR with point halving
Elliptic curves cryptography Integer representation
2010/9/25
Elliptic curves (EC) scalar multiplication over some finite fields, is an attractive research area, and it has been paid much attention by researchers in the recent years. Researchs still in progress ...
Mori's program for the moduli space of pointed stable rational curves
Mori's program the moduli space
2010/11/22
We prove that, assuming the F-conjecture, the log canonical model of the pair $(\bar{M}_{0,n}, \sum a_i \psi_i)$ is the Hassett's moduli space of weighted pointed stable rational curves without any mo...
We study the stable pairs theory of local curves in 3-folds with descendent insertions. The rationality of the partition function of descendent invariants is established for the full local curve geom...
Suppose a smooth planar curve $\gamma$ is $2\pi$-periodic in the $x$ direction and the length of one period is $\ell$. It is shown that if $\gamma$ self-intersects, then it has a segment of length $\...
Classification and generation of 3D discrete curves
3D Discrete curves chain coding curve classification
2010/9/16
We present a quantitative approach to the representation, classification,and generation of families of 3D (three-dimensional) particular discrete closed curves. Any 3D continuous curve can be digitali...
Approximation of curves by fairness cubic splines
Smoothness Variational curve Fairness spline Cubic spline
2010/9/15
In this paper we present an approximation method of curves by a new type of spline functions called fairness cubic splines from a given Lagrangian data set under fairness constraints. An approximating...
A characterization of semiampleness and contractions of relative curves
semiampleness contractions relative curves
2010/11/1
A line bundle with a base-point-free multiple is called semiample. I give a cohomological characterization of semiample line bundles. The result is a common generalization of the Fujita-Zariski criter...