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2. Wallis product - Wikipedia

   en.wikipedia.org/wiki/Wallis_product

   John Wallis, English mathematician who is given partial credit for the development of infinitesimal calculus and pi. Viète's formula, a different infinite product formula for . Leibniz formula for π, an infinite sum that can be converted into an infinite Euler product for π. Wallis sieve

3. Wallis' integrals - Wikipedia

   en.wikipedia.org/wiki/Wallis'_integrals

   In mathematics, and more precisely in analysis, the Wallis integrals constitute a family of integrals introduced by John Wallis. Definition, basic properties [ edit ]

4. John Wallis - Wikipedia

   en.wikipedia.org/wiki/John_Wallis

   John Wallis (/ ˈ w ɒ l ɪ s /; [2] Latin: Wallisius; 3 December [O.S. 23 November] 1616 – 8 November [O.S. 28 October] 1703) was an English clergyman and mathematician, who is given partial credit for the development of infinitesimal calculus.

5. Infinite product - Wikipedia

   en.wikipedia.org/wiki/Infinite_product

   The best known examples of infinite products are probably some of the formulae for π, such as the following two products, respectively by Viète (Viète's formula, the first published infinite product in mathematics) and John Wallis (Wallis product):

6. List of formulae involving π - Wikipedia

   en.wikipedia.org/wiki/List_of_formulae_involving_π

   where C is the circumference of a circle, d is the diameter, and r is the radius.More generally, = where L and w are, respectively, the perimeter and the width of any curve of constant width.

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8. Calculus - Wikipedia

   en.wikipedia.org/wiki/Calculus

   In the Middle East, Hasan Ibn al-Haytham, Latinized as Alhazen (c. 965 – c. 1040 AD) derived a formula for the sum of fourth powers. He used the results to carry out what would now be called an integration of this function, where the formulae for the sums of integral squares and fourth powers allowed him to calculate the volume of a paraboloid .

9. Double factorial - Wikipedia

   en.wikipedia.org/wiki/Double_factorial

   For integer values of n, ⁡ = ⁡ = ()!!!! {Using instead the extension of the double factorial of odd numbers to complex numbers, the formula is ⁡ = ⁡ = ()!!!!. Double factorials can also be used to evaluate integrals of more complicated trigonometric polynomials.