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But Siri is only available to iPhone 4S users.
#Wolframalpha series series
Being able to ask questions and get the answer, and not only a series of links, is quite remarkable. What was the inspiration for building WolframSMS? You can send a variety of questions, such as “Where was Obama born?” or “Who was the third president of the United States?” to the WolfraSMS number and it will send you back the answer in SMS form. WolfraSMS is-very simply-a way to ask the Wolfram|Alpha computational search engine questions, by sending a simple SMS. Follow Martin on Twitter and read his blog here. WolfraSMS is the very first app Martin built with Twilio – quite impressive. Martin is the co-founder and COO of SocialFolders, a service to organize your social content in the cloud. Wolfram Web Resource.Martin Pannier was looking for a way to bring the power of search similar to Siri to a wider audience, why should iPhone 4s owners have all the fun? What he built is WolfraSMS: a simple SMS app that harnesses the search capabilities of Wolfram|Alpha, powered by Twilio. Cambridge, England:Ĭambridge University Press, pp. 159-163, 1992. Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed.
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"Series and Their Convergence." §5.1 in Numerical "Theorems Stated by Ramanujan (III): Theorems on Transformation of
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TheoryĪnd Application of Infinite Series. Twelve Lectures on Subjects Suggested by His Life and Work, 3rd ed. Hardy,Ĭourse of Pure Mathematics, 10th ed. Englewood Cliffs, NJ: Prentice-Hall, 1975. Sixth Book of Mathematical Games from Scientific American. Introduction to the Theory of Infinite Series, 3rd ed. "Calculating Sums of Infinite Series." Amer. "Partial Sums of Infinite Series,Īnd How They Grow." Amer. Modularįunctions and Dirichlet Series in Number Theory, 2nd ed.
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Of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. The numerical values of any but the most pathologicalĪ particular infinite series identity is given by General techniques also exist for computing While it can be difficult to calculate analytical expressions for arbitrary convergent infinite series, many algorithms can handle a variety of common series types. Series operations, see Abramowitz and Stegun (1972, p. 15). Series of continuous functions can be integratedįor a table listing the coefficients for various Provided that the functions of the series have continuous derivatives and that theĬonvergent. Series can be differentiated term by term, For example, the sum of a uniformlyĬonvergent series of continuous functions is continuous. Let the terms in a series be denoted, let the th partial sum be given byĪn especially strong type of convergence is called uniform convergence, and series which are uniformly convergent have particularly "nice" The more general case of the ratioĪ series may converge to a definite value, or may not, in which case it is called divergent. A seriesįor which the ratio of each two consecutive terms is aĬonstant function of the summation index is called a geometric series. If the difference between successive terms of a series is a constant, then the series is said to be an arithmetic series. States that, by a suitable rearrangement of terms, a so-called conditionallyĬonvergent series may be made to converge to any desired value, or to diverge.Ĭonditions for convergence of a series can be determined in the Wolfram Language using SumConvergence[ a, Series contain an infinite number of terms. The term "infinite series" is sometimes used to emphasize the fact that A series is an infinite ordered set of terms combined together by the addition operator.