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  2. List of inequalities - Wikipedia

    en.wikipedia.org/wiki/List_of_inequalities

    Bennett's inequality, an upper bound on the probability that the sum of independent random variables deviates from its expected value by more than any specified amount Bhatia–Davis inequality , an upper bound on the variance of any bounded probability distribution

  3. Inequality (mathematics) - Wikipedia

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

    A power inequality is an inequality containing terms of the form a b, where a and b are real positive numbers or variable expressions. They often appear in mathematical olympiads exercises. Examples:

  4. Category:Mathematics-related lists - Wikipedia

    en.wikipedia.org/wiki/Category:Mathematics...

    Comparison of vector algebra and geometric algebra; List of mathematics competitions; List of complex analysis topics; List of complexity classes; List of computability and complexity topics; Computational complexity of mathematical operations; List of computer algebra systems; List of computer graphics and descriptive geometry topics

  5. Triangle inequality - Wikipedia

    en.wikipedia.org/wiki/Triangle_inequality

    The top example shows a case where z is much less than the sum x + y of the other two sides, and the bottom example shows a case where the side z is only slightly less than x + y. In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the ...

  6. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    Another type of equation is inequality. Inequalities are used to show that one side of the equation is greater, or less, than the other. The symbols used for this are: > where > represents 'greater than', and < where < represents 'less than'. Just like standard equality equations, numbers can be added, subtracted, multiplied or divided.

  7. Inequation - Wikipedia

    en.wikipedia.org/wiki/Inequation

    In mathematics, an inequation is a statement that an inequality holds between two values. [1] [2] It is usually written in the form of a pair of expressions denoting the values in question, with a relational sign between them indicating the specific inequality relation. Some examples of inequations are: <

  8. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Birkhoff–Von Neumann theorem (linear algebra) Bregman–Minc inequality (discrete mathematics) Cauchy-Binet formula (linear algebra) Cayley–Hamilton theorem (Linear algebra) Dimension theorem for vector spaces (vector spaces, linear algebra) Euler's rotation theorem ; Exchange theorem (linear algebra) Gamas's Theorem (multilinear algebra)

  9. Cauchy–Schwarz inequality - Wikipedia

    en.wikipedia.org/wiki/Cauchy–Schwarz_inequality

    where , is the inner product.Examples of inner products include the real and complex dot product; see the examples in inner product.Every inner product gives rise to a Euclidean norm, called the canonical or induced norm, where the norm of a vector is denoted and defined by ‖ ‖:= , , where , is always a non-negative real number (even if the inner product is complex-valued).

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