
Review of Short Phrases and Links 
This Review contains major "Divided Differences" related terms, short phrases and links grouped together in the form of Encyclopedia article.
 Divided differences of polynomials are particularly interesting, because they can benefit from the Leibniz rule.
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 Instructions#1,2,3 set up a matrix [A] which will contain the divided differences.
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 Given n data points with the divided differences can be calculated via forward differences defined as Divided differences  Example.
 Consequently we can compute the divided differences of p n by a division of formal power series.
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 The Taylor series or any other representation with function series can in principle be used to approximate divided differences.
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 The limit of the Newton polynomial if all nodes coincide is a Taylor polynomial, because the divided differences become derivatives.
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 In mathematics divided differences is a recursive division process.
 This is called the Peano form of the divided differences and B n 1 is called the Peano kernel for the divided differences.
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 The method of divided differences can be used to calculate the coefficients in the interpolation polynomial in the Newton form.
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 They are easier to calculate then the more general divided differences.
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 Furthermore if the x i are distributed equidistantly the calculation of the divided differences becomes significantly easier.
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