Extensions of the Kinchine Wisser Theorem
Extensions of the Kinchine Wisser Theorem
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In our eReader you can find the full English version of the book. Read Extensions of the Kinchine Wisser Theorem Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Extensions of the Kinchine Wisser Theorem
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•i-v). *fl'r nl"e. T 13 Theorem 1;. 2 Given an Infinite sequence such that ^(^ ) > 0, and any infinite sequence of real numbers e, 1 = 1, 2, . , . , 1), and any A e ^ which appears in the sequence after all the A, , ^l = l, c. K, we have (1+. 2) P^ /-, n a/A) > (1- e^)P(A) ^1 "• ^k We note that Theorem y. \ is simply the special case of Theorem \\, 2 in which all the e. = e. The added strength of Theorem \\. 2 lies in the fact that e. May be chosen so as to tend to zero as i — > oo, and as rap...idly as we please* Fe shall in fact obstain the following slightly stronger assertion: Theorem )-t.. 2A . Given an infinite sequence "y!' such that /\(^) > 0, and any function (|)(u) > 0, such that (j)(u) — > as u- — > CO, there exists an infinite subse- quence ii^ .^, ?) such that for all riots a •* *'.
•rol i: &;' - ii y;aflj rf J ^0e5 I ' ■■ . 1^ -f ^r ^ r^sf.
d-i s?'!)'^ O? fTC?.
What to read after Extensions of the Kinchine Wisser Theorem?
You can find similar books in the "Read Also" column, or choose other free books by Harold N Shapiro to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
•i-v). *fl'r nl"e. T 13 Theorem 1;. 2 Given an Infinite sequence such that ^(^ ) > 0, and any infinite sequence of real numbers e, 1 = 1, 2, . , . , 1), and any A e ^ which appears in the sequence after all the A, , ^l = l, c. K, we have (1+. 2) P^ /-, n a/A) > (1- e^)P(A) ^1 "• ^k We note that Theorem y. \ is simply the special case of Theorem \\, 2 in which all the e. = e. The added strength of Theorem \\. 2 lies in the fact that e. May be chosen so as to tend to zero as i — > oo, and as rap...idly as we please* Fe shall in fact obstain the following slightly stronger assertion: Theorem )-t.. 2A . Given an infinite sequence "y!' such that /\(^) > 0, and any function (|)(u) > 0, such that (j)(u) — > as u- — > CO, there exists an infinite subse- quence ii^ .^, ?) such that for all riots a •* *'.
•rol i: &;' - ii y;aflj rf J ^0e5 I ' ■■ . 1^ -f ^r ^ r^sf.
d-i s?'!)'^ O? fTC?.
What to read after Extensions of the Kinchine Wisser Theorem?
You can find similar books in the "Read Also" column, or choose other free books by Harold N Shapiro to read onlineMoreLess
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