Ordinal numbers | Set theory

Normal function

In axiomatic set theory, a function f : Ord → Ord is called normal (or a normal function) if and only if it is continuous (with respect to the order topology) and strictly monotonically increasing. This is equivalent to the following two conditions: 1. * For every limit ordinal γ (i.e. γ is neither zero nor a successor), it is the case that f(γ) = sup {f(ν) : ν < γ}. 2. * For all ordinals α < β, it is the case that f(α) < f(β). (Wikipedia).

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From playlist Polynomial Functions

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What is a Function?

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From playlist College Algebra

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From playlist Further Work with Functions (related content)

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From playlist Working with Functions

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From playlist When is the Function Increasing Decreasing or Neither

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Working with Functions (1 of 2: Notation & Terminology)

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From playlist Working with Functions

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From playlist Summer of Math Exposition Youtube Videos

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From playlist Summer of Math Exposition Youtube Videos

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Database Normalisation: Third Normal Form

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From playlist Database Normalisation

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From playlist Calculus 3 (Full Length Videos)

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Surface Integrals of Scalar and Vector Fields/Functions

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From playlist Calculus

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From playlist What is General Relativity?

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From playlist Level 1 Chartered Financial Analyst (CFA ®) Volume 1

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Probability Density Function With Example | Probability And Statistics Tutorial | Simplilearn

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From playlist Biology

Related pages

Ordinal arithmetic | Monotonic function | Cardinal number | Limit ordinal | Fixed-point lemma for normal functions | Veblen function | Successor ordinal | Order topology | Continuous function | Ordinal number | Aleph number | Beth number