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lowerBoundResurgence(...,SampleSize=>...) -- optional parameter used for approximating asymptotic invariants that are defined as limits.

Synopsis

Description

Given an ideal $I$ and an integer $n$, returns the larger of the two numbers $\frac{\alpha(I)}{waldschmidt(I)}$ and the maximum of the quotients $m/k$ that fail $I^{(m)} \subseteq I^k$ with $k \leq$ SampleSize.

i1 : R = QQ[x,y,z];
i2 : J = ideal (x*(y^3-z^3),y*(z^3-x^3),z*(x^3-y^3));

o2 : Ideal of R
i3 : lowerBoundResurgence(J, SampleSize=>5)

     3
o3 = -
     2

o3 : QQ

Further information

Functions with optional argument named SampleSize :