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  2. Irrational number - Wikipedia

    en.wikipedia.org/wiki/Irrational_number

    When the ratio of lengths of two line segments is an irrational number, ... An example of an irrational algebraic number is x 0 = (2 1/2 + 1) 1/3.

  3. Commensurability (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Commensurability_(mathematics)

    Thus the group-theoretic notion of commensurability generalizes the concept for real numbers. There is a similar notion for two groups which are not given as subgroups of the same group. Two groups G 1 and G 2 are (abstractly) commensurable if there are subgroups H 1 ⊂ G 1 and H 2 ⊂ G 2 of finite index such that H 1 is isomorphic to H 2.

  4. List of types of numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_numbers

    All rational numbers are real, but the converse is not true. Irrational numbers (): Real numbers that are not rational. Imaginary numbers: Numbers that equal the product of a real number and the imaginary unit , where =. The number 0 is both real and imaginary.

  5. Category:Irrational numbers - Wikipedia

    en.wikipedia.org/wiki/Category:Irrational_numbers

    In mathematics, an irrational number is any real number that is not a rational number, i.e., one that cannot be written as a fraction a / b with a and b integers and b not zero. This is also known as being incommensurable, or without common measure. The irrational numbers are precisely those numbers whose expansion in any given base (decimal ...

  6. Irrationality measure - Wikipedia

    en.wikipedia.org/wiki/Irrationality_measure

    Rational numbers have irrationality exponent 1, while (as a consequence of Dirichlet's approximation theorem) every irrational number has irrationality exponent at least 2. On the other hand, an application of Borel-Cantelli lemma shows that almost all numbers, including all algebraic irrational numbers , have an irrationality exponent exactly ...

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  8. Are You Smarter than a 5th Grader? (American game show)

    en.wikipedia.org/wiki/Are_You_Smarter_than_a_5th...

    Once the first part of the game is completed, the contestant faces the fifth grade. Five subjects are shown to the contestant, each with one fifth grade-level question. The contestant is given 60 seconds to answer all five questions. As in the first part of the game, the contestant must press the button on his or her desk to lock in an answer.

  9. The Irrational Gets Additional Season 1 Episode Order at NBC

    www.aol.com/irrational-gets-additional-season-1...

    NBC wants to see more of The Irrational’s mind games. The network has increased the freshman drama’s episode order by one from 10 to 11, TVLine has confirmed. (Our sister site Deadline first ...

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