ICXOdd   1Courier NewSymbolExtendedBxyx1Courier New1Courier NewTimes New RomanTimes New Romanxyx1Courier New1Courier New1Courier New1Courier NewIPDIPDIPDIPD { Sd< .H22p@?@@@?X??@@@@@@033333??@^ߛOw????l(lL:@zL(Z(Z@@?@ @@@8?<@@ADB5.5 1.217321752pi/4(x,y) = (5.5,1.217321752)QQ2??@?c.<#??????????c.<#?tؙ1 1.016712932pi/4(x,y) = (1,1.016712932)QQ2??@?My@?????????My@HCLDPETFXG\H`I 0.25 2.29076969pi/4(x,y) = (0.25,2.29076969)QQ2??@?p`Nҋ??????????p`Nҋ? 蛤L0.75 1.09235557pi/4(x,y) = (0.75,1.09235557)QQ2??@@FJ?????????@FJ?dJhKlLpMtNxO|P6 1.231210026pi/4(x,y) = (6,1.231210026)QQ2??@@~Te N,?????????@~Te N,? $(xܝ6.5 1.243539578pi/4(x,y) = (6.5,1.243539578)QQ2??@@f \?????????@f \?QRSTUVW@7 1.254567666pi/4(x,y) = (7,1.254567666)QQ2??@@ġۡ?????????@ġۡ?,048<@Dl7.5 1.264498582pi/4(x,y) = (7.5,1.264498582)QQ2??@@iL2?????????@iL2?XYZ[\]^П48 1.273496118pi/4(x,y) = (8,1.273496118)QQ2??@@oC?????????@oC?H L P T X \`8.5 1.281692894pi/4(x,y) = (8.5,1.281692894)QQ2??@@ k?????????@ k?_`abcde`ġ9 1.289197332pi/4(x,y) = (9,1.289197332)QQ2??@@\zѪؐ?????????@\zѪؐ?fghijkl(9.5 1.29609881pi/4(x,y) = (9.5,1.29609881)QQ2??@@(?,@0A(6.25 1.23755215pi/4(x,y) = (6.25,1.23755215)QQ2??@@uo?????????@uo?4B8C@axW@"ATimes New RomanHub  %k as a function of r = a/Lr = a/L 朗l<@^˔@@"@be԰|@Times New RomanHub &The Parabolic parameter m as a function of r = a/L@|MU@T"@[ I@Times New RomanHub P'Asymptotic Limit of 1.532366944unction of r = a/L;&f@:lu%q@Xy&>?t3q?Times New RomanHub (09Asymptotic Expansion for Large r.2236223188/ro;#+ǫ@.47@#^?}?Times New RomanHub (Asymptotic Expansion for Small r07919049r^3r axW?TH@U@*'j@Times New RomanHub %Polynomial Fit for 1.25 < r < 5.25&&& P"I5@QA>т@DZ/?-$cQ?Times New RomanHub T(x,y) = (.5,1.335861463)ĦP8wP==DPSr ^^˖@q 軧w= =0*(x,y) = (2.5,1.076201763)ĦP8wPHLDP?Sr ^^˖@8?w 4*(x,y) = (3,1.109562471))ĶtЬSr ^^˖@q 軧c@HU0F8@+(x,y) = (2,1.03898766)Y@ @ DSr ^^˖@8?pHc@8GX,(x,y) = (3.5,1.138173261)ػHSr ^^˖@q 軧0\U0F8@-(x,y) = (4.,1.16256547))*#:HHySr ^^˖@8??<*/!?Q"@-(x,y) = (4.5,1.183472425),*X/Sr ^^˖@q 軧TpVM4$2.5{.(x,y) = (5,1.201548111))4Sr ^^˖@8?,*#?*8/(x,y) = (5.5,1.217321752)lmЬSr ^^˖@q 軧3@mlmU0F8@/ (x,y) = (1,1.016712932))HЬSr ^^˖@8?f?U0F8@0 (x,y) = (0.25,2.29076969)#3333333@Sr ^^˖@q 軧H3@X8G`1 (x,y) = (0.75,1.09235557)|8GSr ^^˖@8?̞@,*R@2 (x,y) = (6,1.231210026))x)*(1-x(1/r+1.231210026)+1.2312100Sr ^^˖@q 軧YAPĦP8wP2 (x,y) = (6.5,1.243539578)x)*(1-x(1/r+1.243539578)+1.2435395Sr ^^˖@8?3(x,y) = (7,1.254567666))x)*(1-x(1/r+1.254567666)+1.2545676Sr ^^˖@ 5Ybd13 d?1@2@4(x,y) = (7.5,1.264498582)x)*(1-x(1/r+1.264498582)+1.2644985Sr ^^˖@'u8ĦP8wPDP%P>f4(x,y) = (8,1.273496118))x)*(1-x(1/r+1.273496118)+1.2734961Sr ^^˖@_D))5(x,y) = (8.5,1.281692894)x)*(1-x(1/r+1.281692894)+1.2816928Sr ^^˖@6>h6(x,y) = (9,1.289197332))x)*(1-x(1/r+1.289197332)+1.2891973Sr ^^˖@_D,*X9qKe@ Ү8Ү 7(x,y) = (9.5,1.29609881)-x)*(1-x(1/r+1.29609881)+1.29609881Sr ^^˖@6>7(x,y) = (10,1.302471984)r-x)*(1-x(1/r+1.302471984)+1.302471Sr ^^˖@_D8(x,y) = (10.5,1.308379089)-x)*(1-x(1/r+1.308379089)+1.30837Sr ^^˖@6>$@?PH9(x,y) = (11,1.313872983))-x)*(1-x(1/r+1.313872983)+1.31387Sr ^^˖@_D:(x,y) = (11.5,1.318998593)-x)*(1-x(1/r+1.318998593)+1.31899Sr ^^˖@6>)˷)˷):(x,y) = (12,1.323794411))-x)*(1-x(1/r+1.323794411)+1.32379Sr ^^˖@_Dp;(x,y) = (12.5,1.328293608)-x)*(1-x(1/r+1.328293608)+1.32829Sr ^^˖@6>(<(x,y) = (13,1.332524939))-x)*(1-x(1/r+1.332524939)+1.33252Sr ^^˖@_D<(x,y) = (13.5,1.336513455)-x)*(1-x(1/r+1.336513455)+1.33651Sr ^^˖@6>=(x,y) = (14,1.340281092))-x)*(1-x(1/r+1.340281092)+1.34028Sr ^^˖@_D LP>(x,y) = (14.5,1.343847144)-x)*(1-x(1/r+1.43847144)+1.438471Sr ^^˖@6>?(x,y) = (15,1.347228653))-x)*(1-x(1/r+1.347228653)+1.34722Sr ^^˖@_D*+@Ӝ??(x,y) = (15.5,1.350440736)-x)*(1-x(1/r+1.350440736)+1.35044Sr ^^˖@6>x@ (x,y) = (16,1.353496851))-x)*(1-x(1/r+1.353496851)+1.35349Sr ^^˖@_D(U"8@,0A!(x,y) = (16.5,1.356409022)-x)*(1-x(1/r+1.356409022)+1.35640Sr ^^˖@6>A"(x,y) = (17,1.359188028))-x)*(1-x(1/r+1.359188028)+1.35918Sr ^^˖@_D*+| (k?B#(x,y) = (17.5,1.361843563)-x)*(1-x(1/r+1.361843563)+1.36184Sr ^^˖@6>XC$(x,y) = (18,1.36438437)3)-x)*(1-x(1/r+1.36438437)+1.364384Sr ^^˖@_DD%(x,y) = (18.5,1.366818359)-x)*(1-x(1/r+1.366818359)+1.36681Sr ^^˖@6>h&&U0Ǿ8F@,D&(x,y) = (19,1.369152704))-x)*(1-x(1/r+1.369152704)+1.36915Sr ^^˖@_DE'(x,y) = (19.5,1.371393991)-x)*(1-x(1/r+1.371393991)+1.37139Sr ^@PvR,*^3z"@ĝU'88F((x,y) = (20,1.373547978))-x)*(1-x(1/r+1.373547978)+1.37354Sr ^@_DF)(x,y) = (1.25,.9996084982)TѸSr ^@PvR̞@,*R AG*(x,y) = (1.75,1.020676734)xymPŵLSr ^@_Dm@8ydyU\8@`H+(x,y) = (2.25,1.057879641)<U\8Sr ^@PvR3@*/ qLnI,(x,y) = (2.75,1.093481035)*#:HHySr ^@_D?L(َ?I-(x,y) = (3.25,1.124439718)Dp1tTSr ^@PvRD"p( J.(x,y) = (3.75,1.150850363)-TѸ@Sr ^@_D,*R@@K/(x,y) = (4.25,1.173410852)*/Sr ^@PvRh""Ӹ1.3618435635,K390(x,y) = (4.75,1.192828214)3333333@Sr ^@_D8u @01.281692894L1(x,y) = (5.25,1.209694267)l#Sr ^@PvRU\8@pi/4*XhM2(x,y) = (5.75,1.224479296)$PU\8Sr ^@_D9** N3(x,y) = (6.25,1.23755215)PϲҸ@Sr ^@PvRh(r-4.15)*h(4.35-r)*آ411,1N574(x,y) = (6.75,1.249202459)\U\8@Sr ^@_D*/1.192828214O5(x,y) = (7.25,1.259659207)!#?Sr ^@PvR$"TѸ P"HP6(x,y) = (7.75,1.269105095)/TѸSr ^@_D@,*XlS1.150850363Q7(x,y) = (8.25,1.277687326)l#c@Sr ^@PvR8dU\8(x,y) = (2.75,Q108(x,y) = (8.75,1.285525672)ȢU\8̖@Sr ^@_D*/6.75ˮ763pRY9(x,y) = (9.25,1.292718502)*+Sr ^@PvR䘱ؗ+dC(S:(x,y) = (9.75,1.299347334),*#Sr ^@_D*1.23755215S;(x,y) = (10.25,1.305480284)*xffffff@Sr ^@PvRݶxֶ6.75T<(x,y) = (10.75,1.311174714)pǹTѸ@Sr ^@_D,*R@PU=(x,y) = (11.25,1.316479282)l#Ή@Sr ^@PvRиU\8@V>(x,y) = (11.75,1.32143554)ҸSr ^@_D@<hU\«޶459V?(x,y) = (12.25,1.326079195)fҸ@Sr ^@PvRf gU\8޶641xW޶@(x,y) = (12.75,1.33044112)ZT`,&HSr ^@_DZ[9ث@1.0578796410XA(x,y) = (13.25,1.334548111)U\8@Sr ^@PvR*{K"c@1.3111747145,X92B(x,y) = (13.75,1.338423621)+U&8@Sr ^@_Dh**yPd022Y C(x,y) = (14.25,1.342088202)xTѸ@Sr ^@PvR,*R@XZD(x,y) = (14.75,1.34555998) %%DP%PSr ^@_D) = (14.25,1.342088202)% %K[E(x,y) = (15.25,1.348854996)*R@Sr ^@PvR\@9#]h641[F(x,y) = (15.75,1.351987507)@iԾSr ^@_D,*(x,y) = (12.25\79G(x,y) = (16.25,1.354970229),*#3333333@Sr ^@PvR|08]H(x,y) = (16.75,1.357814541)*R@Sr ^@_Dx[LoW]I(x,y) = (17.25,1.360530662),**$:Sr ^@PvR,*+s,1.3304411225,^73J(x,y) = (17.75,1.363127795)*/Sr ^@_D(W@^T(20,1.`_78K(x,y) = (18.25,1.365614252),*#?Sr ^@PvR''79%@@1.342088202`L(x,y) = (18.75,1.367997565)Sr ^@_DyP d`M(x,y) = (19.25,1.370284572)(ΨfSr ^@PvR,*#333333Jc502aN(x,y) = (19.75,1.372481499)ϹSr ^@_D(x,y) = (.5,1.335861463)(x,y) = (18.25@b14Oy = 1.532366944; 0.000000 <= x <= 20.000000Sr ^@PvRbPy = 1.532366944-0.66016927345971/sqrt(x)-0.22362231884588/x;@:cfQy = 0.540205760122/x+.522690675747x-0.0460791904921875*x^3; ?)d?}EmDŽѬ@Hlsʇ@9]噌@hdR(x,y) = (1.5,1.0055697545)d#i̍@1dP4Sy = 1.02766988-0.106475891x+0.0882426631x^2-0.01842006891445d#i̍@ tg?