Difference between revisions of "Intervals"
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An interval is a set of numbers between upper and lower bound. To create an interval, type e.g. <code>2 < x < 3</code> in [[Input Bar]]. Interval in previous example is open. You can also define closed (<code>2 ≤ x ≤ 3</code>) and semi-closed (<code>2 ≤ x < 3</code>) intervals. | An interval is a set of numbers between upper and lower bound. To create an interval, type e.g. <code>2 < x < 3</code> in [[Input Bar]]. Interval in previous example is open. You can also define closed (<code>2 ≤ x ≤ 3</code>) and semi-closed (<code>2 ≤ x < 3</code>) intervals. | ||
{{Note|See also [[Boolean values]].}} | {{Note|See also [[Boolean values]].}} | ||
Latest revision as of 13:18, 5 August 2015
An interval is a set of numbers between upper and lower bound. To create an interval, type e.g. 2 < x < 3 in Input Bar. Interval in previous example is open. You can also define closed (2 ≤ x ≤ 3) and semi-closed (2 ≤ x < 3) intervals.
Note: See also Boolean values.
To determine whether number c belongs to interval r type r(c) into the Input Bar, the result will be a Boolean value. Generalization of intervals are Inequalities.
Commands for intervals
- Min, Max, Midpoint for an interval with lower bound a and upper bound b return numbers a, b and \frac{a+b}2 respectively. The result doesn't depend on whether the interval is open, closed or semi-closed.
- Point returns a moveable point whose x-coordinate belongs to the interval and y-coordinate is 0.
- PointIn returns a moveable point whose x-coordinate belongs to the interval and y-coordinate may be changed arbitrarily.
