AngouriMath
Family(System.Boolean,AngouriMath.Entity.Set.Interval,AngouriMath.Entity.Variable,AngouriMath.Entity)
Method (no overloads)
Summary
A union or an intersection of a family of intervals whose ends are quotients of
polynomials in the index, monotone over its range, as the interval between the extremes
of the ends;null where that is not settled here. Sullivan and
Mackey's §3.9.5: the intersection of(-1/n, 1/n) over the positive whole numbers
is{0} , the union of (x, x + 1) over (0, 1) is (0, 2) , and
the union of[0, (n - 1)/n) is [0, 1) , the intersection of (-1/n, 1) .
polynomials in the index, monotone over its range, as the interval between the extremes
of the ends;
Mackey's §3.9.5: the intersection of
is
the union of
Remarks
infimum of the right ones. An end of it is closed where the family's ends are, and where
the extreme is only approached: every
ones where the family is a chain, each member inside the next -- ends moving apart, or
one still -- and where the index runs over an interval and every member is not empty,
so that the members overlap as it moves. Over the whole numbers a sliding family,
family's ends are and the extreme is reached.
greatest member, where it is reached, and in the limit, where it is not.
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