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# Topic: Binomial series

###### In the News (Thu 18 Jul 19)

 Binomial - LoveToKnow 1911 The binomial theorem is a celebrated theorem, originally due to Sir Isaac Newton, by which any power of a binomial can be expressed as a series. And since, in the series for the circle, the second term was 2 3 3, I put m=?„.... 2 3 4 The binomial theorem was thus discovered as a development of John Wallis's investigations in the method of interpolation. www.1911encyclopedia.org /Binomial   (583 words)

 Binomial Demonstration. (Page 7)   (Site not responding. Last check: 2007-11-06) In Galton`s model, called a quincunx, a series of balls was dropped into the top of the apparatus, and travelled through a series of levels. When p = 0.5, cumulative binomial probabilities approximate a normal shape, i.e., they are distributed symmetrically and are unimodal. When p is greater than 0.5, the distribution will be positively skewed (the peak will be on the left side of the distribution, with relatively fewer observations on the right). www.yorku.ca /mzivian/bino.htm   (556 words)

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 KryssTal : Pascal's Triangle This series also is infinite, it too goes on forever. In the Binomial Series, Newton discovered that for values of n that were not positive whole numbers (i.e. In other words there are specific situations when the Binomial Series can be used for calculations of approximations. www.krysstal.com /binomial.html   (2021 words)

 Standard Deviation: Formula, Algorithm, Software The standard deviation is viewed as: - a probability parameter of binomial events (compared to the expected value) = standard deviation proper; - a statistical parameter of a numerical series (compared to the mean); i.e. The statistical data series is uniform (less dispersed, spread), therefore easier to analyze and control, if its standard deviation is less than or equal to the mean average and especially the median. The statistical data series is volatile (widely dispersed, spread), therefore more difficult to analyze and control, if its standard deviation is three times greater than the median and especially the mean average. www.saliu.com /deviation.html   (2803 words)

 The Binomial Theorem (by MathsRevision.net) The Binomial Theorem states that, where n is a positive integer: This means use the Binomial theorem to expand the terms in the brackets, but only go as high as x So to find the answer we substitute 4 for a in the Binomial theorem and 2x for b: www.mathsrevision.net /alevel/pure/binomial.php   (349 words)

 The Binomial series But the good thing is that the binomial expansion works if n is negative as well, or even if n is a fraction. The reason the series was finite in that case, i.e. So in the cases when n is negative or fractional, the binomial series is an infinite series. www.ucl.ac.uk /Mathematics/geomath/level2/series/ser8.html   (442 words)

 [No title] In this final section of this chapter we are going to look at another series representation for a function.  Before we do this let’s first recall the following theorem. Now, the Binomial Theorem required that n be a positive integer.  There is an extension to this however that allows for any number at all. The first four terms in the binomial series is then, tutorial.math.lamar.edu /Classes/CalcII/BinomialSeries.aspx   (325 words)

 Math Forum Discussions >>is there an extention of the binomial theorem to (a+b)^x where x is a I think you still have the "Binomial Theorem" here. same principles of development as the Binomial series; that is, one www.mathforum.org /kb/thread.jspa?threadID=24538&messageID=66542   (136 words)

 Series and the Binomial Theorem Geometric Progressions, where we multiply by a fixed number to get each new term of the progression Infinite Geometric Series, where we add all of the terms in the geometric progression The Binomial Theorem, where we learn how to expand expressions like (a + b) www.intmath.com /Series-binomial-theorem/Series-introduction.php   (303 words)

 S.O.S. Mathematics CyberBoard :: View topic - Binomial series Posted: Mon, 15 May 2006 09:16:28 GMT Post subject: Binomial series Posted: Mon, 15 May 2006 11:27:37 GMT Post subject: Re: Binomial series And the fact that the binomial theorem generalizes as well is just Taylor's formula. www.sosmath.com /CBB/viewtopic.php?t=22850&start=0&postdays=0&postorder=asc&highlight=   (271 words)

 Anthony's Excel VBA Page - Excel Tutorial - Excel Consultant - Excel Consulting Users can learn Excel VBA topics range from simple issues such as using VBA recorder to record macro, computing sum, average, median and standard deviation to advanced issues such as Black-Scholes and Binomial option pricing models, multiple regression, portfolio optimization, probability distribution random numbers generator, Bootstrap, Monte Carlo Simulation, risk analysis and many more. The example computes the European call and put price based on Binomial option pricing models. This tutorial demonstrates on how to obtain the optimal portfolio (highest return with lowest standard deviation) using Harry Markowitz theory. www.anthony-vba.kefra.com   (1509 words)

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