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The nimbers are the ordinal numbers endowed with nimber addition and nimber multiplication, which are distinct from ordinal addition and ordinal multiplication. Because of the Sprague–Grundy theorem which states that every impartial game is equivalent to a Nim heap of a certain size, nimbers arise in a much larger class of impartial games.
In 2005, Educate, Inc., which also operated Sylvan Learning, acquired Hooked on Phonics and began selling the products at retail. In 2006, the company released new educational programs, including Hooked on Spanish, Hooked on Handwriting, and Hooked on Spelling. [6] By 2007, the Hooked on Phonics program had been introduced in over 30 countries.
In set theory, an ordinal number, or ordinal, is a generalization of ordinal numerals (first, second, n th, etc.) aimed to extend enumeration to infinite sets. [ 1 ] A finite set can be enumerated by successively labeling each element with the least natural number that has not been previously used.
Printable version; In other projects Wikimedia Commons; Wikidata item; ... Pages in category "Ordinal numbers" The following 51 pages are in this category, out of 51 ...
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 the mathematical field of set theory, ordinal arithmetic describes the three usual operations on ordinal numbers: addition, multiplication, and exponentiation. Each can be defined in essentially two different ways: either by constructing an explicit well-ordered set that represents the result of the operation or by using transfinite recursion .
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