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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...
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...
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...
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 ...
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 $\...
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...
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 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...

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