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Tài liệu CA L C U L U S E A R LY T R A N S C E N D E N TA L S SIXTH EDITION JAMES STEWART McMASTER pptx

Tài liệu CA L C U L U S E A R LY T R A N S C E N D E N TA L S SIXTH EDITION JAMES STEWART McMASTER pptx

... from the hot-water tank starts owing from the faucet, T increases quickly In the next phase, T is constant at the temperature of the heated water in the tank When the tank is drained, T decreases ... ISBN 0-495-10963-0 by Dan Clegg and Barbara Frank ISBN 0-495-01229-7 Includes worked-out solutions to all exercises in the text Printed Test Bank by William Steven Harmon ISBN 0-495-01242-4 Contains ... difculties with problems for which there is no single well-dened procedure for obtaining the answer I think nobody has improved very much on George Polyas four-stage problem-solving strategy and, accordingly,...

Ngày tải lên: 13/12/2013, 08:15

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RAN D OM WALK IN RANDOM AND NO N- RAND OM ENVIRONMENTS h E C D N D E D I T I O N pdf

RAN D OM WALK IN RANDOM AND NO N- RAND OM ENVIRONMENTS h E C D N D E D I T I O N pdf

... (4.3) if n is large enough Let nk = [@'I (0 > 1) Then by the Borel-Cantelli lemma we get M , ~ (1+ ~ ) b ; : a.s for all but finitely many k Let nk Mn Mnk+, (1 n < nk+ 1 Then + &)bzj+l (1+ ~ ) b ... lemma bn,+l (Snk+l S,,) - > 1- E > (1 - E ) } are i.0 a.s Consequently b n E + l ~ n , +> - E - bm+, S l I, I Applying the result proved in Step we obtain hk+, I = biiISnk I, s Ibnkbnk+l L (I + ... we have to use the stronger result of Theorem 2.13 Step Let nk = [ O k ](0 > 1) Then for any P{bn,+, (snk+, - s n k ) E >0 1- &> ((log nk+ l) -l+E/2 ) 32 CHAPTER if k is large enough Since the events...

Ngày tải lên: 06/03/2014, 19:20

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