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By Ghora J.K.

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Extra info for A Central Limit Theorem for the L2 Error of Positive Wavelet Density Estimator

Sample text

Thus, in finding ^, the figures are repeated in the numerator are 142857. what commonly is rules are given in them to the to common which This called a circulating decimal, books of arithmetic fractions.

Quot; rW"- 1 01 " TT etc. etc. etc. 6, which continually ap and therefore in to T7T , any calculation in which the fraction T\ appears, any one of these may be substituted for it, which is suffi ciently near to suit the purpose for tion is intended. 636 would be a DECIMAL FRACTIONS. 63636363 would be necessary. Nothing but practice can show how sufficient approximation should be carried in each case. 213. The ond |JJJ. 420 a is f to a ^ : Suppose first it of these required to divide is f J 2, an d the sec quotient of these by the ordinary rule or 6420.

By 11, shall obtain the following results : we ON THE STUDY OF MATHEMATICS. 50 7- - - gives the quotient 6, and the remainder 4, and a 63 7 is 6 4 T -j 63 T7T " io_o_o_o 636 6363 etc. etc. t Now < 4 etc. observe that much as much as T^, so 1, 6363 T7T 7 " if two numbers do not their tenth parts do not differ by by so differ hundredth parts by so much as T J^, ^ so on their thousandth parts by so much as T their an< > ^Vo~> and also remember hundredth part tables will iQ- 7 that T T of -7TT -, is and so now be apparent does not the tenth part of Jf, the differ from 6 iff.

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