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  2. Aleph number - Wikipedia

    en.wikipedia.org/wiki/Aleph_number

    aleph-nought, aleph-zero, or aleph-null) is the cardinality of the set of all natural numbers, and is an infinite cardinal.The set of all finite ordinals, called or (where is the lowercase Greek letter omega), also has cardinality .

  3. First uncountable ordinal - Wikipedia

    en.wikipedia.org/wiki/First_uncountable_ordinal

    When considered as a set, the elements of are the countable ordinals (including finite ordinals), [1] of which there are uncountably many. Like any ordinal number (in von Neumann's approach ), ω 1 {\displaystyle \omega _{1}} is a well-ordered set , with set membership serving as the order relation.

  4. Ordinal number - Wikipedia

    en.wikipedia.org/wiki/Ordinal_number

    The (α + 1)-th number class is the set of ordinals whose predecessors form a set of the same cardinality as the α-th number class. The cardinality of the (α + 1)-th number class is the cardinality immediately following that of the α-th number class. [16]

  5. Ordinal arithmetic - Wikipedia

    en.wikipedia.org/wiki/Ordinal_arithmetic

    Specifically, a natural number greater than 1 never commutes with any infinite ordinal, and two infinite ordinals α and β commute if and only if α m = β n for some nonzero natural numbers m and n. The relation "α commutes with β" is an equivalence relation on the ordinals greater than 1, and all equivalence classes are countably infinite.

  6. Omega - Wikipedia

    en.wikipedia.org/wiki/Omega

    Omega (US: / oʊ ˈ m eɪ ɡ ə,-ˈ m ɛ ɡ ə,-ˈ m iː ɡ ə /, UK: / ˈ oʊ m ɪ ɡ ə /; [1] uppercase Ω, lowercase ω; Ancient Greek ὦ, later ὦ μέγα, Modern Greek ωμέγα) is the twenty-fourth and last letter in the Greek alphabet.

  7. Americans get too much omega-6 and not enough omega-3 ... - AOL

    www.aol.com/lifestyle/americans-too-much-omega-6...

    The National Academy of Medicine recommends that adults get 1.1 to 1.6 grams of omega-3s per day to ensure nutritional adequacy. “Aim for two servings of fatty fish (8 to 12 ounces) each week ...

  8. Alpha vs. beta in investing: What’s the difference? - AOL

    www.aol.com/finance/alpha-vs-beta-investing...

    If a stock has a beta of 1.2, it might be considered 20 percent riskier than the benchmark and therefore should compensate investors with a higher expected return. If the index returned 10 percent ...

  9. Large countable ordinal - Wikipedia

    en.wikipedia.org/wiki/Large_countable_ordinal

    Computable ordinals (or recursive ordinals) are certain countable ordinals: loosely speaking those represented by a computable function.There are several equivalent definitions of this: the simplest is to say that a computable ordinal is the order-type of some recursive (i.e., computable) well-ordering of the natural numbers; so, essentially, an ordinal is recursive when we can present the set ...

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