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This differential expansion clearly shows that the P 2n (t) polynomials are 2nd order even

polynomials in t and that, when they are integrated over the half range 0

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NEW ARCTAN APPROXIMATION Although very accurate values for arctan(x) expressed in fractions of π are known for x=0, ±1/sqrt(3), ±1, and ±sqrt(3) , other points in the range -∞

This differential expansion clearly shows that the P 2n (t) polynomials are 2nd order even polynomials in t and that, when they are integrated over the half range 0

Page 1: 27 Aug 2011-Preprint A NEW METHOD F
Page 5 and 6: 4 0.78539 0.1973955598498807 8 0.78
Page 7 and 8: Each result has been terminated at
Page 9 and 10: Some results from procedure Ladder:

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