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Normal function and Ordinal arithmetic

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Normal function and Ordinal arithmetic

Normal function vs. Ordinal arithmetic

In axiomatic set theory, a function is called normal (or a normal function) if it is continuous (with respect to the order topology) and strictly monotonically increasing. In the mathematical field of set theory, ordinal arithmetic describes the three usual operations on ordinal numbers: addition, multiplication, and exponentiation.

Similarities between Normal function and Ordinal arithmetic

Normal function and Ordinal arithmetic have 7 things in common (in Unionpedia): Cardinal number, Limit ordinal, Monotonic function, Ordinal number, Set theory, Successor ordinal, Veblen function.

Cardinal number

In mathematics, a cardinal number, or cardinal for short, is what is commonly called the number of elements of a set.

Cardinal number and Normal function · Cardinal number and Ordinal arithmetic · See more »

Limit ordinal

In set theory, a limit ordinal is an ordinal number that is neither zero nor a successor ordinal.

Limit ordinal and Normal function · Limit ordinal and Ordinal arithmetic · See more »

Monotonic function

In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order.

Monotonic function and Normal function · Monotonic function and Ordinal arithmetic · See more »

Ordinal number

In set theory, an ordinal number, or ordinal, is a generalization of ordinal numerals (first, second, th, etc.) aimed to extend enumeration to infinite sets.

Normal function and Ordinal number · Ordinal arithmetic and Ordinal number · See more »

Set theory

Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects.

Normal function and Set theory · Ordinal arithmetic and Set theory · See more »

Successor ordinal

In set theory, the successor of an ordinal number α is the smallest ordinal number greater than α.

Normal function and Successor ordinal · Ordinal arithmetic and Successor ordinal · See more »

Veblen function

In mathematics, the Veblen functions are a hierarchy of normal functions (continuous strictly increasing functions from ordinals to ordinals), introduced by Oswald Veblen in.

Normal function and Veblen function · Ordinal arithmetic and Veblen function · See more »

The list above answers the following questions

Normal function and Ordinal arithmetic Comparison

Normal function has 16 relations, while Ordinal arithmetic has 63. As they have in common 7, the Jaccard index is 8.86% = 7 / (16 + 63).

References

This article shows the relationship between Normal function and Ordinal arithmetic. To access each article from which the information was extracted, please visit: