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The geometric series on the real line. In mathematics, the infinite series 1 2 + 1 4 + 1 8 + 1 16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1. In summation notation, this may be expressed as. The series is related to philosophical questions considered in antiquity, particularly ...
Buy one, get one free. " Buy one, get one free " or " two for the price of one " is a common form of sales promotion. Economist Alex Tabarrok has argued that the success of this promotion lies in the fact that consumers value the first unit significantly more than the second one. So compared to a seemingly equivalent "Half price off" promotion ...
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. However, it can be manipulated to yield a number of ...
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A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent . Powers of two with non-negative exponents are integers: 20 = 1, 21 = 2, and 2n is two multiplied by itself n times. [1] [2] The first ten powers of 2 for non-negative values of n are:
Asymptotic behavior of the smoothing. The y-intercept of the parabola is − + 1 / 12.. The method of regularization using a cutoff function can "smooth" the series to arrive at − + 1 / 12.
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