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2. Interval (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Interval_(mathematics)

   In summary, a set of the real numbers is an interval, if and only if it is an open interval, a closed interval, or a half-open interval. [4] [5] A degenerate interval is any set consisting of a single real number (i.e., an interval of the form [a, a]). [6] Some authors include the empty set in this definition.

3. Interval arithmetic - Wikipedia

   en.wikipedia.org/wiki/Interval_arithmetic

   The main objective of interval arithmetic is to provide a simple way of calculating upper and lower bounds of a function's range in one or more variables. These endpoints are not necessarily the true supremum or infimum of a range since the precise calculation of those values can be difficult or impossible; the bounds only need to contain the function's range as a subset.

4. Nested intervals - Wikipedia

   en.wikipedia.org/wiki/Nested_intervals

   4 members of a sequence of nested intervals. In mathematics, a sequence of nested intervals can be intuitively understood as an ordered collection of intervals on the real number line with natural numbers =,,, … as an index. In order for a sequence of intervals to be considered nested intervals, two conditions have to be met:

5. Interval - Wikipedia

   en.wikipedia.org/wiki/Interval

   Interval (mathematics), a range of numbers Partially ordered set#Intervals, its generalization from numbers to arbitrary partially ordered sets; A statistical level of measurement; Interval estimate; Interval (graph theory) Space-time interval, the distance between two points in 4-space

6. Conway base 13 function - Wikipedia

   en.wikipedia.org/wiki/Conway_base_13_function

   The Conway base 13 function is a function created by British mathematician John H. Conway as a counterexample to the converse of the intermediate value theorem.In other words, it is a function that satisfies a particular intermediate-value property — on any interval (,), the function takes every value between () and () — but is not continuous.

7. Unit interval - Wikipedia

   en.wikipedia.org/wiki/Unit_interval

   For example, in the theory of quivers, the (analogue of the) unit interval is the graph whose vertex set is {,} and which contains a single edge e whose source is 0 and whose target is 1. One can then define a notion of homotopy between quiver homomorphisms analogous to the notion of homotopy between continuous maps.