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Use {{ordinal | integer | sup = yes}} to display the ordinal suffix in superscript. Do not use superscript notation in the article space, per this section of the Manual of Style . For integers ending in 1, 2 or 3 (except for integers ending in 11, 12 or 13), the ordinal suffixes will be -st , -nd and -rd , respectively.
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To display -d for the ordinal suffix rather than -nd and -rd, use {{ordinal | integer | d}}. This template should not be used in running prose in articles; it is intended for automated script processing of numeric data. Writing something like "in the {{ordinal|16}} century" serves no purpose, and just makes the wikicode harder to understand and ...
Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.
In fact, the even ordinal ω + 4 cannot be expressed as β + β, and the ordinal number (ω + 3)2 = (ω + 3) + (ω + 3) = ω + (3 + ω) + 3 = ω + ω + 3 = ω2 + 3. is not even. A simple application of ordinal parity is the idempotence law for cardinal addition (given the well-ordering theorem). Given an infinite cardinal κ, or generally any ...
Ordinal indicator – Character(s) following an ordinal number (used when writing ordinal numbers, such as a super-script) Ordinal number – Generalization of "n-th" to infinite cases (the related, but more formal and abstract, usage in mathematics) Ordinal data, in statistics; Ordinal date – Date written as number of days since first day of ...
In mathematics, the Feferman–Schütte ordinal (Γ 0) is a large countable ordinal. It is the proof-theoretic ordinal of several mathematical theories, such as arithmetical transfinite recursion . It is named after Solomon Feferman and Kurt Schütte , the former of whom suggested the name Γ 0 .
Every well-ordered set is order-equivalent to exactly one ordinal number, by definition. The ordinal numbers are taken to be the canonical representatives of their classes, and so the order type of a well-ordered set is usually identified with the corresponding ordinal. Order types thus often take the form of arithmetic expressions of ordinals.
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