Web17 Jan 2014 · About a week ago, two British mathematicians named Tony Padilla and Ed Copeland, who produce a video blog called Numberphile, posted a video that purports to … Web18 Jan 2014 · Re: Why the sum of all positive integers is -1/12. « Reply #4 on: 18 January, 2014, 08:40:12 am ». Yes, that struck me too. The sum of 1-1+1 etc depends where you …
python - Sum of the integers from 1 to n - Stack Overflow
WebThe sum of an integer and its additive inverse is 0. For example, 6 + (-6) = 0 Adding two positive integers always results in a positive value that is greater than both the integers. For example, 6 + 6 = 12 Adding two negative integers always results in a negative number that is smaller than the given numbers. For example, -6 + (-6) = -12 Coverage of this topic in Smithsonian magazine describes the Numberphile video as misleading and notes that the interpretation of the sum as − + 1 / 12 relies on a specialized meaning for the equals sign, from the techniques of analytic continuation, in which equals means is associated with. References See more The infinite series whose terms are the natural numbers 1 + 2 + 3 + 4 + ⋯ is a divergent series. The nth partial sum of the series is the triangular number $${\displaystyle \sum _{k=1}^{n}k={\frac {n(n+1)}{2}},}$$ See more In bosonic string theory, the attempt is to compute the possible energy levels of a string, in particular, the lowest energy level. Speaking … See more David Leavitt's 2007 novel The Indian Clerk includes a scene where Hardy and Littlewood discuss the meaning of this series. They conclude that Ramanujan has rediscovered ζ(−1), and they take the "lunatic asylum" line in his second letter as a sign that … See more The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc. The nth partial sum is given by a simple formula: See more Among the classical divergent series, 1 + 2 + 3 + 4 + ⋯ is relatively difficult to manipulate into a finite value. Many summation methods are … See more It is unclear whether Leonhard Euler summed the series to −+1/12. According to Morris Kline, Euler's early work on divergent series relied on function expansions, from … See more • Berndt, Bruce C.; Srinivasa Ramanujan Aiyangar; Rankin, Robert A. (1995). Ramanujan: letters and commentary. American Mathematical Society. ISBN 0-8218-0287-9. • Hardy, G. H. (1949). Divergent Series. Clarendon Press. See more ios 16 mail search
Summing Consecutive Numbers - Maths
Web17 Apr 2014 · => 3S = -B and hence, S = -1/12 This result is counterintuitive for many reasons, the main one being that the sum of all positive integers is a negative real number … WebSum of n, n², or n³. The series \sum\limits_ {k=1}^n k^a = 1^a + 2^a + 3^a + \cdots + n^a k=1∑n ka = 1a +2a + 3a +⋯+na gives the sum of the a^\text {th} ath powers of the first n n positive numbers, where a a and n n are … WebUse this calculator to find the sum of a data set. Enter values separated by commas or spaces. Or copy and paste lines of data from spreadsheets or text documents. See all … ios 16 not downloading