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Learn about the mathematical analysis of "collect all coupons and win" contests, and how the expected number of trials grows as . Find solutions, extensions, generalizations, and applications of the coupon collector's problem.
The first four partial sums of 1 + 2 + 4 + 8 + ⋯. In mathematics, 1 + 2 + 4 + 8 + ⋯ is the infinite series whose terms are the successive powers of two. As a geometric series, it is characterized by its first term, 1, and its common ratio, 2. As a series of real numbers it diverges to infinity, so the sum of this series is infinity.
3% is a Netflix show that follows young people who compete for a chance to live in a utopian society called the Offshore. The series explores themes of class, identity, morality and rebellion in a dystopian future.
Online shopping is a form of electronic commerce that allows consumers to buy goods or services from a seller over the Internet. Learn about the origins, development and features of online shopping, as well as the different categories of online shoppers and retailers.
BOGO or BOGOF is a sales promotion that offers two products for the price of one. Learn about its history, benefits, criticism and examples from this Wikipedia article.
The Fibonacci sequence is a sequence of numbers where each number is the sum of the two preceding ones. Learn how it was first described in Indian mathematics and introduced to Western Europe by Fibonacci, and how it relates to the golden ratio and other topics.
The golden ratio is a mathematical constant that relates the lengths of two quantities when their ratio is the same as the ratio of their sum to the larger of the two quantities. It has been studied in geometry, art, nature and other fields for its aesthetic and symbolic properties.
Sodium methoxide is the simplest sodium alkoxide with the formula CH3ONa. It has a CAS Number of 124-41-4 and is a white solid, a widely used reagent in industry and the laboratory, and a dangerously caustic base.
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