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  2. Grassmann number - Wikipedia

    en.wikipedia.org/wiki/Grassmann_number

    Grassmann number. In mathematical physics, a Grassmann number, named after Hermann Grassmann (also called an anticommuting number or supernumber), is an element of the exterior algebra of a complex vector space. [1] The special case of a 1-dimensional algebra is known as a dual number. Grassmann numbers saw an early use in physics to express a ...

  3. Straightedge and compass construction - Wikipedia

    en.wikipedia.org/wiki/Straightedge_and_compass...

    In terms of algebra, a length is constructible if and only if it represents a constructible number, and an angle is constructible if and only if its cosine is a constructible number. A number is constructible if and only if it can be written using the four basic arithmetic operations and the extraction of square roots but of no higher-order roots.

  4. List of mathematical series - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_series

    List of mathematical series. This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. is a Bernoulli polynomial. is an Euler number. is the Riemann zeta function. is the gamma function. is a polygamma function. is a polylogarithm.

  5. List of limits - Wikipedia

    en.wikipedia.org/wiki/List_of_limits

    [1] [2] This applies even in the cases that f(x) and g(x) take on different values at c, or are discontinuous at c. Polynomials and functions of the form x a [ edit ]

  6. Transfinite number - Wikipedia

    en.wikipedia.org/wiki/Transfinite_number

    Any finite natural number can be used in at least two ways: as an ordinal and as a cardinal. Cardinal numbers specify the size of sets (e.g., a bag of five marbles), whereas ordinal numbers specify the order of a member within an ordered set [9] (e.g., "the third man from the left" or "the twenty-seventh day of January").

  7. Infinite expression - Wikipedia

    en.wikipedia.org/wiki/Infinite_expression

    Infinite expression. In mathematics, an infinite expression is an expression in which some operators take an infinite number of arguments, or in which the nesting of the operators continues to an infinite depth. [ 1] A generic concept for infinite expression can lead to ill-defined or self-inconsistent constructions (much like a set of all sets ...

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