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  2. Division by infinity - Wikipedia

    en.wikipedia.org/wiki/Division_by_infinity

    The hyperbola = /.As approaches ∞, approaches 0.. In mathematics, division by infinity is division where the divisor (denominator) is ∞.In ordinary arithmetic, this does not have a well-defined meaning, since ∞ is a mathematical concept that does not correspond to a specific number, and moreover, there is no nonzero real number that, when added to itself an infinite number of times ...

  3. List of mathematical constants - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_constants

    Foias constant is the unique real number such that if x 1 = α then the sequence diverges to infinity. ... 3, 10, 2, 1 , 3, 2, 24, 1, 3, 2 ... Then √γ n n is the ...

  4. Division by zero - Wikipedia

    en.wikipedia.org/wiki/Division_by_zero

    The reciprocal function y = ⁠ 1 / x ⁠. As x approaches zero from the right, y tends to positive infinity. As x approaches zero from the left, y tends to negative infinity. In mathematics, division by zero, division where the divisor (denominator) is zero, is a unique and problematic special case.

  5. Beyond Infinity (mathematics book) - Wikipedia

    en.wikipedia.org/wiki/Beyond_Infinity...

    The book is divided into two parts, with the first exploring notions leading to concepts of actual infinity, concrete but infinite mathematical values.After an exploration of number systems, this part discusses set theory, cardinal numbers, and ordinal numbers, transfinite arithmetic, and the existence of different infinite sizes of sets.

  6. Divided power structure - Wikipedia

    en.wikipedia.org/wiki/Divided_power_structure

    If A is an algebra over , then every ideal I has a unique divided power structure where () =!. [1] Indeed, this is the example which motivates the definition in the first place. If M is an A -module, let S ∙ M {\displaystyle S^{\bullet }M} denote the symmetric algebra of M over A .

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