Length of Polynomial Ascending Chains and Primitive Recursiveness.

Guillermo Moreno Socias

Displaying similar documents to “Length of Polynomial Ascending Chains and Primitive Recursiveness.”

On polynomial Solutions of a differential equation

ARNE MAGNUS (1955)

Mathematica Scandinavica

Similarity:

Plücker relations for p(e...).

J.R. Quine (1979)

Mathematica Scandinavica

Similarity:

On a Theorem of Gundersen and Laine.

Hin-Ming Li (1992)

Mathematica Scandinavica

Similarity:

Some lemmas about dynamical systems.

I. Ekeland (1983)

Mathematica Scandinavica

Similarity:

Betti numbers and the integral closure of ideals.

Sangki Choi (1990)

Mathematica Scandinavica

Similarity:

Trajectories of polynomial vector fields and ascending chains of polynomial ideals

Dmitri Novikov, Sergei Yakovenko (1999)

Annales de l'institut Fourier

Similarity:

We give an explicit upper bound for the number of isolated intersections between an integral curve of a polynomial vector field in $ℝ^{n}$ and an algebraic hypersurface. The answer is polynomial in the height (the magnitude of coefficients) of the equation and the size of the curve in the space-time, with the exponent depending only on the degree and the dimension. The problem turns out to be closely related to finding an explicit upper bound for the length of ascending chains...