leslie2 - LT*@|L? L_i*? Nt? |i wit*i @|h c @h| 2 ki?...

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LlT&*@|±l? ²l_i*±?} Nt±?} |üi wit*±i ²@|h± c L@h| 2º kiæ&? vL!L)@4@ ±@|ü eD ² w&?i@h œ*}iMh@ ûLæi4Mih ³.c ³bb. œMt|h@U| Aüi wit*&i ±L_i* &t @ TLŒihu²* |LL* ²ti_ |L _i|ih4&?i |üi }hLŒ|ü Lu @ TLT²*@|&L? @t Œi** @t |üi @}i _&t|h&M²|&L? Œ&|ü&? @ TLT²*@|&L? Læih |&4iº W?|hL_&U|±L? Wklv lv wkh vhfrqg ode wkdw irfxvhv rq wkh xvh ri wkh Ohvolh Prgho wr ghwhuplqh wkh jurzwk ri d srsxodwlrq1 Lq wkh æuvw ode/ zh lqwurgxfhg wkh Ohvolh Pdwul{ prgho1 Uhfdoo wkdw wkh Ohvolh prgho xvhv wkh iroorzlqj dvvxpswlrqv= 41 Zh frqvlghu rqo| wkh ihpdohv lq wkh srsxodwlrq1 51 Wkh pd{lpxp djh dwwdlqhg e| dq| lqglylgxdo lv q |hduv1 61 Wkh srsxodwlrq lv jurxshg lqwr q rqh0|hdu djh fodvvhv1 71 Dq lqglylgxdo*v fkdqfhv ri vxuylylqj iurp rqh |hdu wr wkh qh{w lv d ixqfwlrq ri lwv djh1 81 Wkh vxuylydo udwh S l ri hdfk djh jurxs lv nqrzq1 91 Wkh uhsurgxfwlrq udwh I l iru hdfk djh jurxs lv nqrzq1 :1 Wkh lqlwldo djh glvwulexwlrq lv nqrzq1 Zh ghæqh wkh djh glvwulexwlrq { + n , dw wlph w n e| { + n , @ 5 9 9 9 9 9 9 7 { + n , 4 { + n , 5 { + n , 6 1 1 1 { + n , q 6 : : : : : : 8 = 4
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zkhuh { + n , l lv wkh qxpehu ri ihpdohv lq wkh l 0wk djh fodvv dw wlph w n 1Q rz /d w wlph w n > wkh qxpehu ri ihpdohv lq wkh æuvw djh fodvv { + n , 4 > duh mxvw wkrvh gdxjkwhuv eruq ehwzhhq wlph w n & 4 dqg w n = Wkh qxpehu ri r&vsulqj surgxfhg e| hdfk djh fodvv fdq eh fdofxodwhg e| pxowlso|lqj wkh uhsurgxfwlyh udwh iru wkh djh fodvv e| wkh qxpehu ri ihpdohv lq wkh djh fodvv iru hdfk jurxs1 Wkh vxp ri doo wkhvh ydoxhv jlyhv wkh wrwdo qxpehu ri r&vsulqj surgxfhg1 Wkxv zh fdq zulwh { + n , 4 @ I 4 { + n & 4, 4 . I 5 { + n & 4, 5 . üüü . I q { + n & 4, q +4, zklfk vd|v wkdw wkh qxpehu ri ihpdohv lq djh fodvv 4 htxdov wkh qxpehu ri gdxjkwhuv eruq wr ihpdohv lq djh fodvv 4 ehwzhhq wlphv w n dqg w n & 4 soxv wkh qxpehu ri gdxjkwhuv eruq wr ihpdohv lq djh fodvv 5 ehwzhhq wlphv w n dqg w n & 4 >=== > soxv wkh qxpehu ri gdxjkwhuv eruq wr ihpdohv lq djh fodvv q ehwzhhq wlphv w n dqg w n & 4 1 Wkh qxpehu ri ihpdohv lq wkh vhfrqg djh fodvv dw wlph w n duh wkrvh ihpdohv lq wkh æuvw djh fodvv dw wlph w n & 4 zkr duh vwloo dolyh dw wlph w n / ru pdwkhpdwlfdoo| { + n , 5 @ S 4 { + n & 4, 4 / wkh qxpehu ri ihpdohv lq wkh wklug djh fodvv dw wlph w n duh wkrvh ihpdohv lq wkh vhfrqg djh fodvv dw wlph w n & 4 zkr duh vwloo dolyh dw wlph w n / ru pdwkhpdwlfdoo| { + n , 6 @ S 5 { + n & 4, 5 / lq jhqhudo wkh qxpehu ri ihpdohv lq wkh qwk djh fodvv dw wlph w n duh wkrvh ihpdohv lq wkh + q & 4, vw djh fodvv dw wlph w n & 4 zkr duh vwloo dolyh dw wlph w n / ru pdwkhpdwlfdoo| { + n , q @ S q & 4 { + n & 4, q & 4 = Zhhqgxsz lwk wkh iroorzlqj v|vwhp ri olqhdu htxdwlrqv1 { + n , 4 @ I 4 { + n & 4, 4 . I 5 { + n & 4, 5 . . I q { + n & 4, q { + n , 5 @ S 4 { + n & 4, 4 { + n , 6 @ S 5 { + n & 4, 5 1 1 1 { + n , q @ S q & 4 { + n & 4, q & 4 +5, Zh fdq xvh pdwulfhv wr uhzulwh wklv v|vwhp ri htxdwlrqv dv 5 9 9 9 9 9 9 7 { + n , 4 { + n , 5 { + n , 6 1 1 1 { + n , q 6 : : : : : : 8 @ 5 9 9 9 9 9 7 I 4 I 5 I 6 I q & 4 I q S 4 33 3 S 5 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 333 S q & 4 3 6 : : : : : 8 5 9 9 9 9 9 9 7 { + n & 4, 4 { + n & 4, 5 { + n & 4, 6 1 1 1 { + n & 4, q 6 : : : : : : 8 dqghyhqpruhfrpsdfw o|dv { + n , @ O { + n & 4, +6, 5
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zkhuh { + n , @ 5 9 9 9 9 9 9 7 { + n , 4 { + n , 5 { + n , 6 1 1 1 { + n , q 6 : : : : : : 8 > lv wkh djh glvwulexwlrq yhfwru dw wlph w n > { + n & 4, @ 5 9 9 9 9 9 9 7 { + n & 4, 4 { + n & 4, 5 { + n & 4, 6 1 1 1 { + n & 4, q 6 : : : : : : 8 > lv wkh djh glvwulexwlrq yhfwru dw wlph w n & 4 > dqg O @ 5 9 9 9 9 9 7 I 4 I 5 I 6 üüü I q & 4 I q S
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leslie2 - LT*@|L? L_i*? Nt? |i wit*i @|h c @h| 2 ki?...

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