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  2. Unit interval - Wikipedia

    en.wikipedia.org/wiki/Unit_interval

    Sometimes, the term "unit interval" is used to refer to objects that play a role in various branches of mathematics analogous to the role that [0,1] plays in homotopy theory. For example, in the theory of quivers , the (analogue of the) unit interval is the graph whose vertex set is { 0 , 1 } {\displaystyle \{0,1\}} and which contains a single ...

  3. Indicator function - Wikipedia

    en.wikipedia.org/wiki/Indicator_function

    In classical mathematics, characteristic functions of sets only take values 1 (members) or 0 (non-members). In fuzzy set theory, characteristic functions are generalized to take value in the real unit interval [0, 1], or more generally, in some algebra or structure (usually required to be at least a poset or lattice).

  4. Unit interval (data transmission) - Wikipedia

    en.wikipedia.org/wiki/Unit_interval_(data...

    The two coincide in fact in NRZ transmission; they do not coincide in a 2B1Q transmission, where one pulse takes the time of two bits. For example, in a serial line with a baud rate of 2.5 Gbit/s, a unit interval is 1/(2.5 Gbit/s) = 0.4 ns/baud.

  5. 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.

  6. Probability measure - Wikipedia

    en.wikipedia.org/wiki/Probability_measure

    A probability measure mapping the σ-algebra for events to the unit interval. The requirements for a set function μ {\displaystyle \mu } to be a probability measure on a σ-algebra are that: μ {\displaystyle \mu } must return results in the unit interval [ 0 , 1 ] , {\displaystyle [0,1],} returning 0 {\displaystyle 0} for the empty set and 1 ...

  7. Interval (mathematics) - Wikipedia

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

    The identity element of this algebra is the condensed interval [1, 1]. If interval [x, y] is not in one of the ideals, then it has multiplicative inverse [1/x, 1/y]. Endowed with the usual topology, the algebra of intervals forms a topological ring. The group of units of this ring consists of four quadrants determined by the axes, or ideals in ...

  8. Indifference graph - Wikipedia

    en.wikipedia.org/wiki/Indifference_graph

    An indifference graph, formed from a set of points on the real line by connecting pairs of points whose distance is at most one. In graph theory, a branch of mathematics, an indifference graph is an undirected graph constructed by assigning a real number to each vertex and connecting two vertices by an edge when their numbers are within one unit of each other. [1]

  9. Unit square - Wikipedia

    en.wikipedia.org/wiki/Unit_square

    In mathematics, a unit square is a square whose sides have length 1. Often, the unit square refers specifically to the square in the Cartesian plane with corners at the four points (0, 0 ), (1, 0) , (0, 1) , and (1, 1) .

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