| 21. | The second condition means the coefficients of " f " grow no faster than a geometric series.
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| 22. | Moustache distortion will have a non-monotonic radial geometric series where for some r the sequence will change sign.
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| 23. | :See Geometric progression # Geometric series .-- Talk 22 : 25, 15 December 2006 ( UTC)
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| 24. | This geometric series of measurements progresses until Polykleitos has formed the arm, chest, body, and so on.
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| 25. | :: : Presumably my geometric series example would be a supertask, for someone with a magic random coin.
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| 26. | Taking r =-1, the generalized binomial series gives the geometric series formula, valid for | x |:
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| 27. | The same trick that gives the formula for a geometric series will give you a closed form solution for T n.
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| 28. | He computes the sum of the resulting geometric series, and proves that this is the area of the parabolic segment.
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| 29. | Then the set of all roots is given by, and their sum is given by the formula for a geometric series:
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| 30. | B " T " and the denominator " Z " is the partition function, here a geometric series
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