Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
Function Repository Resource:
Calculate the complement of intervals
ResourceFunction["IntervalComplement"][intervalall,interval1,interval2,…] gives the interval representing all the points of intervalall that are not in any of the intervali. |
Calculate the complement of two intervals:
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Intervals can be disjoint:
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Subtract two Interval objects from another interval object:
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Subtracting an interval might create a disjoint interval:
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Unbounded intervals can be used:
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If there is full overlap, an empty interval is returned:
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An empty interval stays empty:
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Complementing with an empty interval has no effect:
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Calculate the absolute complement of the interval [-5,5] by taking the relative complement with the full interval:
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Compare the complement with the union and the intersection of two intervals:
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Compare to regular sets:
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Intervals need to be numeric. If the input is symbolic, it will stay unevaluated:
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Visualize the subtraction of multiple intervals (red) from a base interval (green):
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This work is licensed under a Creative Commons Attribution 4.0 International License