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  2. 2,3-Wittig rearrangement - Wikipedia

    en.wikipedia.org/wiki/2,3-Wittig_rearrangement

    The [2,3]-Wittig rearrangement is the transformation of an allylic ether into a homoallylic alcohol via a concerted, pericyclic process. Because the reaction is concerted, it exhibits a high degree of stereocontrol, and can be employed early in a synthetic route to establish stereochemistry.

  3. Markov's inequality - Wikipedia

    en.wikipedia.org/wiki/Markov's_inequality

    If X is a nonnegative random variable and a > 0, and U is a uniformly distributed random variable on [,] that is independent of X, then [4] ⁡ ⁡ (). Since U is almost surely smaller than one, this bound is strictly stronger than Markov's inequality.

  4. AM–GM inequality - Wikipedia

    en.wikipedia.org/wiki/AM–GM_inequality

    In two dimensions, 2x 1 + 2x 2 is the perimeter of a rectangle with sides of length x 1 and x 2. Similarly, 4 √ x 1 x 2 is the perimeter of a square with the same area, x 1 x 2, as that rectangle. Thus for n = 2 the AM–GM inequality states that a rectangle of a given area has the smallest perimeter if that rectangle is also a square.

  5. Samuel Soal - Wikipedia

    en.wikipedia.org/wiki/Samuel_Soal

    Soal moved to a more statistical and controlled approach, firstly by conducting an experiment in which up to a few hundred persons participated at one time. [5] This involved Soal and a small group of agents enacting a scenario, playing with a certain object, reciting a poem, and so on, which the participants, situated across Great Britain and other countries, were required, at the same time ...

  6. Type 2 diabetes - Wikipedia

    en.wikipedia.org/wiki/Type_2_diabetes

    Type 2 diabetes (T2D), formerly known as adult-onset diabetes, is a form of diabetes mellitus that is characterized by high blood sugar, insulin resistance, and relative lack of insulin. [6] Common symptoms include increased thirst , frequent urination , fatigue and unexplained weight loss . [ 3 ]