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15 relations: Atom (order theory), Cardinality, Continuum (measurement), Dirac delta function, Elementary event, Intermediate value theorem, Lebesgue measure, Mathematics, Measurable space, Measure (mathematics), Power set, Real line, Singleton (mathematics), Wacław Sierpiński, Zorn's lemma.
Atom (order theory)
In the mathematical field of order theory, an element a of a partially ordered set with least element 0 is an atom if 0 0 has an atom a below it, that is, there is some a such that b ≥ a:> 0.
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Cardinality
In mathematics, the cardinality of a set is a measure of the "number of elements of the set".
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Continuum (measurement)
Continuum theories or models explain variation as involving gradual quantitative transitions without abrupt changes or discontinuities.
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Dirac delta function
In mathematics, the Dirac delta function (function) is a generalized function or distribution introduced by the physicist Paul Dirac.
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Elementary event
In probability theory, an elementary event (also called an atomic event or simple event) is an event which contains only a single outcome in the sample space.
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Intermediate value theorem
In mathematical analysis, the intermediate value theorem states that if a continuous function, f, with an interval,, as its domain, takes values f(a) and f(b) at each end of the interval, then it also takes any value between f(a) and f(b) at some point within the interval.
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Lebesgue measure
In measure theory, the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a measure to subsets of n-dimensional Euclidean space.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Measurable space
In mathematics, a measurable space or Borel space is a basic object in measure theory.
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Measure (mathematics)
In mathematical analysis, a measure on a set is a systematic way to assign a number to each suitable subset of that set, intuitively interpreted as its size.
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Power set
In mathematics, the power set (or powerset) of any set is the set of all subsets of, including the empty set and itself, variously denoted as, 𝒫(), ℘() (using the "Weierstrass p"),,, or, identifying the powerset of with the set of all functions from to a given set of two elements,.
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Real line
In mathematics, the real line, or real number line is the line whose points are the real numbers.
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Singleton (mathematics)
In mathematics, a singleton, also known as a unit set, is a set with exactly one element.
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Wacław Sierpiński
Wacław Franciszek Sierpiński (14 March 1882 – 21 October 1969) was a Polish mathematician.
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Zorn's lemma
Zorn's lemma, also known as the Kuratowski–Zorn lemma, after mathematicians Max Zorn and Kazimierz Kuratowski, is a proposition of set theory that states that a partially ordered set containing upper bounds for every chain (that is, every totally ordered subset) necessarily contains at least one maximal element.
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