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  2. Completeness of the real numbers - Wikipedia

    en.wikipedia.org/wiki/Completeness_of_the_real...

    In the decimal number system, completeness is equivalent to the statement that any infinite string of decimal digits is actually a decimal representation for some real number. Depending on the construction of the real numbers used, completeness may take the form of an axiom (the completeness axiom), or may be a theorem proven from the construction.

  3. Riddell Sports Group - Wikipedia

    en.wikipedia.org/wiki/Riddell_Sports_Group

    Riddell Sports Group, commonly known as Riddell, is an American company specializing in sports equipment for Gridiron football. Founded in 1929 by John Tate Riddell, it was headquartered in Rosemont, Illinois , [ 1 ] but in 2017, the company relocated to a new facility in Des Plaines, Illinois .

  4. Revolution helmets - Wikipedia

    en.wikipedia.org/wiki/Revolution_helmets

    The research compared the Revolution helmet with other models. 2,000 high school players participated in the study which took place over the course of three years. The study's results showed that 5.4% of the athletes wearing the Revolution helmet suffered a concussion during a game as opposed to 7.6% of the players wearing the older model helmets.

  5. Construction of the real numbers - Wikipedia

    en.wikipedia.org/wiki/Construction_of_the_real...

    An axiomatic definition of the real numbers consists of defining them as the elements of a complete ordered field. [2] [3] [4] This means the following: The real numbers form a set, commonly denoted , containing two distinguished elements denoted 0 and 1, and on which are defined two binary operations and one binary relation; the operations are called addition and multiplication of real ...

  6. Peano axioms - Wikipedia

    en.wikipedia.org/wiki/Peano_axioms

    Axioms 1, 6, 7, 8 define a unary representation of the intuitive notion of natural numbers: the number 1 can be defined as S(0), 2 as S(S(0)), etc. However, considering the notion of natural numbers as being defined by these axioms, axioms 1, 6, 7, 8 do not imply that the successor function generates all the natural numbers different from 0.

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    Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!

  8. List of numeral systems - Wikipedia

    en.wikipedia.org/wiki/List_of_numeral_systems

    A base in which 7 n is palindromic for n = 3, 4, 6, 9. 19: ... ⁠ 1 / 2 ⁠ to ⁠ 1 / 18 ⁠ have periods of 4 or shorter. 35: Covers the ten decimal digits and all ...

  9. p-adic number - Wikipedia

    en.wikipedia.org/wiki/P-adic_number

    The 3-adic integers, with selected corresponding characters on their Pontryagin dual group. In number theory, given a prime number p, the p-adic numbers form an extension of the rational numbers which is distinct from the real numbers, though with some similar properties; p-adic numbers can be written in a form similar to (possibly infinite) decimals, but with digits based on a prime number p ...

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    riddell axiom technology article 7 3 4 as a decimal form of 8 9 5