When calling randomPoints, and functions that call it, with a BruteForce strategy strategy, this denotes the number of trials for brute force point checking. When calling it with a LinearIntersection strategy, this controls how many linear spaces are created.
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The object PointCheckAttempts is a symbol.
The source of this document is in /build/reproducible-path/macaulay2-1.25.05+ds/M2/Macaulay2/packages/RandomPoints.m2:1890:0.