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SampleSize -- optional parameter used for approximating asymptotic invariants that are defined as limits.

Description

This option bounds the number of symbolic powers sampled when approximating asymptotic invariants such as waldschmidt and asymptoticRegularity.

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 : waldschmidt(J, SampleSize=>5)

o3 = 3

o3 : QQ

i4 : asymptoticRegularity(J, SampleSize=>5)

o4 = 4

o4 : QQ

See also

waldschmidt -- computes the Waldschmidt constant for a homogeneous ideal.
lowerBoundResurgence -- computes a lower bound for the resurgence of a given ideal.
asymptoticRegularity -- approximates the asymptotic regularity

Functions with optional argument named SampleSize:

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

For the programmer

The object SampleSize is a symbol.

The source of this document is in SymbolicPowers.m2:1548:0.