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  2. Inter-universal Teichmüller theory - Wikipedia

    en.wikipedia.org/wiki/Inter-universal...

    Inter-universal Teichmüller theory (IUT or IUTT) is the name given by mathematician Shinichi Mochizuki to a theory he developed in the 2000s, following his earlier work in arithmetic geometry. According to Mochizuki, it is "an arithmetic version of Teichmüller theory for number fields equipped with an elliptic curve ".

  3. Real analysis - Wikipedia

    en.wikipedia.org/wiki/Real_analysis

    In mathematics, the branch of real analysis studies the behavior of real numbers, sequences and series of real numbers, and real functions. [1] Some particular properties of real-valued sequences and functions that real analysis studies include convergence, limits, continuity, smoothness, differentiability and integrability.

  4. Mathematical Kangaroo - Wikipedia

    en.wikipedia.org/wiki/Mathematical_Kangaroo

    Mathematical Kangaroo (also known as Kangaroo challenge, or jeu-concours Kangourou in French) is an international mathematics competition in over 77 countries. There are six levels of participation, ranging from grade 1 to grade 12.

  5. Interval arithmetic - Wikipedia

    en.wikipedia.org/wiki/Interval_arithmetic

    Interval arithmetic (also known as interval mathematics; interval analysis or interval computation) is a mathematical technique used to mitigate rounding and measurement errors in mathematical computation by computing function bounds. Numerical methods involving interval arithmetic can guarantee relatively reliable and mathematically correct ...

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  7. Intermediate value theorem - Wikipedia

    en.wikipedia.org/wiki/Intermediate_value_theorem

    Intermediate value theorem: Let be a continuous function defined on [,] and let be a number with () < < ().Then there exists some between and such that () =.. In mathematical analysis, the intermediate value theorem states that if is a continuous function whose domain contains the interval [a, b], then it takes on any given value between () and () at some point within the interval.

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  9. American Invitational Mathematics Examination - Wikipedia

    en.wikipedia.org/wiki/American_Invitational...

    The American Invitational Mathematics Examination (AIME) is a selective and prestigious 15-question 3-hour test given since 1983 to those who rank in the top 5% on the AMC 12 high school mathematics examination (formerly known as the AHSME), and starting in 2010, those who rank in the top 2.5% on the AMC 10. Two different versions of the test ...