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  2. QM-AM-GM-HM inequalities - Wikipedia

    en.wikipedia.org/wiki/QM-AM-GM-HM_Inequalities

    In mathematics, the QM-AM-GM-HM inequalities, also known as the mean inequality chain, state the relationship between the harmonic mean, geometric mean, arithmetic mean, and quadratic mean (also known as root mean square). Suppose that ,, …, are positive real numbers. Then

  3. Difference of two squares - Wikipedia

    en.wikipedia.org/wiki/Difference_of_two_squares

    The resulting identity is one of the most commonly used in mathematics. Among many uses, it gives a simple proof of the AM–GM inequality in two variables. The proof holds in any commutative ring. Conversely, if this identity holds in a ring R for all pairs of elements a and b, then R is commutative. To see this, apply the distributive law to ...

  4. Inequality (mathematics) - Wikipedia

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

    The feasible regions of linear programming are defined by a set of inequalities.. In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. [1]

  5. AM–GM inequality - Wikipedia

    en.wikipedia.org/wiki/AM–GM_inequality

    In mathematics, the inequality of arithmetic and geometric means, or more briefly the AM–GM inequality, states that the arithmetic mean of a list of non-negative real numbers is greater than or equal to the geometric mean of the same list; and further, that the two means are equal if and only if every number in the list is the same (in which ...

  6. S-procedure - Wikipedia

    en.wikipedia.org/wiki/S-procedure

    The S-procedure or S-lemma is a mathematical result that gives conditions under which a particular quadratic inequality is a consequence of another quadratic inequality. The S-procedure was developed independently in a number of different contexts [ 1 ] [ 2 ] and has applications in control theory , linear algebra and mathematical optimization .

  7. List of limits - Wikipedia

    en.wikipedia.org/wiki/List_of_limits

    1.5 Inequalities. 2 Polynomials and functions of the form x a. ... Download as PDF; Printable version; In other projects Wikidata item; Appearance. move to sidebar hide

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