A Probabilistic Proof of a Wallis-type Formula for the Gamma Function
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چکیده
منابع مشابه
the investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
An Elementary Proof of the Wallis Product Formula for pi
by repeated partial integration. The topic is usually reserved for more advanced calculus courses. The purpose of this note is to show that (1) can be derived using only the mathematics taught in elementary school, that is, basic algebra, the Pythagorean theorem, and the formula π · r 2 for the area of a circle of radius r . Viggo Brun gives an account of Wallis’s method in [1] (in Norwegian). ...
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15 صفحه اولA Probabilistic Proof of Wallis's Formula for π
There are many beautiful formulas for π (see for example [4]). The purpose of this note is to introduce an alternate derivation of Wallis’s product formula, equation (1), which could be covered in a first course on probability, statistics, or number theory. We quickly review other famous formulas for π, recall some needed facts from probability, and then derive Wallis’s formula. We conclude by ...
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ژورنال
عنوان ژورنال: The American Mathematical Monthly
سال: 2019
ISSN: 0002-9890,1930-0972
DOI: 10.1080/00029890.2020.1668708