10 1.01815483301669E-01*x2+ 9.89610100506422E-01*x6+ 1.34637048100730E+00*x9 + 3.46970317210432E+00*x10-2.12454115933396E+00; 5.76739795357135E-01*x3+ 7.89949754301577E-01*x8-2.19492968782850E+00; 7.19621954936988E-01*x9+ 9.27261335190857E-01*x10+ 8.95128807036246E-01* x3+ 2.45208250541714E+00*x8+ 8.73159766974099E-02*x1+ 1.37722259176202E+00* x5-5.67773314994310E+00; 2.50030218520604E-03*x4+ 1.99987913687438E+01*x7-1.99987913687440E+01; -1.37722259176203E+00*x1**2+ 7.26099038733160E-01*x5; -9.89610100506425E-01*x2**2+ 1.01049898287039E+00*x6; -1.99987913687438E+01*x4**2+ 5.00030217607503E-02*x7; -1.93702197268146E+00*x3*x1+ 5.16256404988361E-01*x8; -9.68877757611935E-01*x2*x1+ 1.03212194948595E+00*x9; -3.21732159608141E+00*x2**2*x1+ 3.10817545009477E-01*x10; TITLE : Scaled combustion 3000 system SCALING COEFFICIENTS : 2 -2.09927628911180E+01 0.00000000000000E+00 -1.87118596376527E+01 0.00000000000000E+00 -1.72677163168645E+01 0.00000000000000E+00 -1.69019795204076E+01 0.00000000000000E+00 -1.69528602213804E+01 0.00000000000000E+00 -1.64990199020811E+01 0.00000000000000E+00 -2.03106379581088E+01 0.00000000000000E+00 -1.73312656724251E+01 0.00000000000000E+00 -2.95751631982476E+01 0.00000000000000E+00 -1.76096404744368E+01 0.00000000000000E+00 1.76967917680959E+01 0.00000000000000E+00 1.61588526990590E+01 0.00000000000000E+00 1.67930274244024E+01 0.00000000000000E+00 2.09314813823738E+01 0.00000000000000E+00 4.10830376681950E+01 0.00000000000000E+00 4.19704579126793E+01 0.00000000000000E+00 6.34721673044322E+01 0.00000000000000E+00 3.82173384987886E+01 0.00000000000000E+00 4.12577874079963E+01 0.00000000000000E+00 6.39820238920280E+01 0.00000000000000E+00 THE SOLUTIONS : 16 10 =========================================================== solution 1 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x2 : -1.86059828740544E-01 -2.06960762541829E-01 x6 : -8.04468851207845E-03 7.54221428177794E-02 x9 : -1.24919374734789E-01 1.80642576613376E-01 x10 : 6.68539549153760E-01 -8.55342726210761E-02 x3 : 6.00890004375879E-05 9.05451003291456E-01 x8 : 2.77852486206704E+00 -6.61066888749059E-01 x1 : -1.94531617853427E-01 -8.17875302122625E-01 x5 : -1.19699116509037E+00 6.03553210575737E-01 x4 : 5.00028654637741E-02 0.00000000000000E+00 x7 : 9.99993748508534E-01 0.00000000000000E+00 == err : 3.870E-15 = rco : 3.057E-02 = res : 4.466E-16 == solution 2 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x2 : -1.86059828740544E-01 2.06960762541829E-01 x6 : -8.04468851207845E-03 -7.54221428177794E-02 x9 : -1.24919374734789E-01 -1.80642576613376E-01 x10 : 6.68539549153760E-01 8.55342726210761E-02 x3 : 6.00890004375376E-05 -9.05451003291456E-01 x8 : 2.77852486206704E+00 6.61066888749059E-01 x1 : -1.94531617853427E-01 8.17875302122625E-01 x5 : -1.19699116509037E+00 -6.03553210575737E-01 x4 : 5.00028654637741E-02 0.00000000000000E+00 x7 : 9.99993748508534E-01 0.00000000000000E+00 == err : 3.909E-15 = rco : 3.057E-02 = res : 4.466E-16 == solution 3 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x2 : -1.86059828740544E-01 -2.06960762541829E-01 x6 : -8.04468851207844E-03 7.54221428177794E-02 x9 : -1.24919374734789E-01 1.80642576613376E-01 x10 : 6.68539549153760E-01 -8.55342726210761E-02 x3 : 6.00890004375771E-05 9.05451003291456E-01 x8 : 2.77852486206704E+00 -6.61066888749059E-01 x1 : -1.94531617853427E-01 -8.17875302122625E-01 x5 : -1.19699116509037E+00 6.03553210575737E-01 x4 : -5.00031780582155E-02 -6.68191177523049E-52 x7 : 1.00000625153057E+00 2.02799644626429E-56 == err : 3.862E-15 = rco : 3.057E-02 = res : 1.787E-15 == solution 4 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x2 : -1.86059828740544E-01 2.06960762541829E-01 x6 : -8.04468851207845E-03 -7.54221428177794E-02 x9 : -1.24919374734789E-01 -1.80642576613376E-01 x10 : 6.68539549153760E-01 8.55342726210761E-02 x3 : 6.00890004375431E-05 -9.05451003291456E-01 x8 : 2.77852486206704E+00 6.61066888749059E-01 x1 : -1.94531617853427E-01 8.17875302122625E-01 x5 : -1.19699116509037E+00 -6.03553210575737E-01 x4 : -5.00031780582155E-02 -6.68191177523049E-52 x7 : 1.00000625153057E+00 2.02799644626429E-56 == err : 3.905E-15 = rco : 3.057E-02 = res : 1.787E-15 == solution 5 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x2 : 1.47019551595541E-01 -2.02218493716526E-01 x6 : -1.88790676205397E-02 -5.82309934130346E-02 x9 : 1.31217524995428E-01 1.56846296759940E-01 x10 : 5.62465349221964E-01 -3.83197825587805E-02 x3 : -1.78005745092096E-02 -8.75810043497502E-01 x8 : 2.79156487551271E+00 6.39426118570114E-01 x1 : -2.11764459109627E-01 8.45206370172961E-01 x5 : -1.26992499939779E+00 -6.78975505268015E-01 x4 : 5.00028654637741E-02 0.00000000000000E+00 x7 : 9.99993748508534E-01 0.00000000000000E+00 == err : 3.983E-15 = rco : 2.820E-02 = res : 1.696E-15 == solution 6 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x2 : 1.47019551595541E-01 2.02218493716526E-01 x6 : -1.88790676205397E-02 5.82309934130346E-02 x9 : 1.31217524995428E-01 -1.56846296759940E-01 x10 : 5.62465349221964E-01 3.83197825587805E-02 x3 : -1.78005745092096E-02 8.75810043497502E-01 x8 : 2.79156487551271E+00 -6.39426118570114E-01 x1 : -2.11764459109627E-01 -8.45206370172961E-01 x5 : -1.26992499939779E+00 6.78975505268015E-01 x4 : 5.00028654637741E-02 0.00000000000000E+00 x7 : 9.99993748508534E-01 0.00000000000000E+00 == err : 3.983E-15 = rco : 2.820E-02 = res : 1.696E-15 == solution 7 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x2 : 1.47019551595541E-01 -2.02218493716526E-01 x6 : -1.88790676205397E-02 -5.82309934130346E-02 x9 : 1.31217524995428E-01 1.56846296759940E-01 x10 : 5.62465349221964E-01 -3.83197825587805E-02 x3 : -1.78005745092096E-02 -8.75810043497502E-01 x8 : 2.79156487551271E+00 6.39426118570114E-01 x1 : -2.11764459109627E-01 8.45206370172961E-01 x5 : -1.26992499939779E+00 -6.78975505268015E-01 x4 : -5.00031780582155E-02 -6.68191177523049E-52 x7 : 1.00000625153057E+00 2.02799644626429E-56 == err : 3.982E-15 = rco : 2.820E-02 = res : 1.787E-15 == solution 8 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x2 : 1.47019551595541E-01 2.02218493716526E-01 x6 : -1.88790676205397E-02 5.82309934130346E-02 x9 : 1.31217524995428E-01 -1.56846296759940E-01 x10 : 5.62465349221964E-01 3.83197825587805E-02 x3 : -1.78005745092096E-02 8.75810043497502E-01 x8 : 2.79156487551271E+00 -6.39426118570114E-01 x1 : -2.11764459109627E-01 -8.45206370172961E-01 x5 : -1.26992499939779E+00 6.78975505268015E-01 x4 : -5.00031780582155E-02 -6.68191177523049E-52 x7 : 1.00000625153057E+00 2.02799644626429E-56 == err : 4.143E-15 = rco : 2.820E-02 = res : 1.787E-15 == solution 9 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x2 : 5.09473711803257E-01 3.76784128151749E-62 x6 : 2.54197806311466E-01 4.37555761724612E-62 x9 : 8.73906191331919E-02 -7.29259602874353E-63 x10 : 4.90950348220657E-01 -1.09388940431153E-62 x3 : 1.96267896841884E+00 -1.45851920574871E-61 x8 : 1.34562307974978E+00 8.75111523449223E-62 x1 : 1.82727984663697E-01 -4.86173068582902E-63 x5 : 6.33313003219931E-02 -3.88938454866321E-62 x4 : -5.00031780582155E-02 0.00000000000000E+00 x7 : 1.00000625153057E+00 -4.49240602645200E-68 == err : 4.199E-15 = rco : 1.323E-02 = res : 1.787E-15 == solution 10 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x2 : -5.43186314238694E-01 -2.67276471009220E-50 x6 : 2.88952114574660E-01 4.27642353614751E-50 x9 : -9.74433950325977E-02 6.68191177523049E-51 x10 : 5.83649613666546E-01 -1.33638235504610E-50 x3 : 1.92006464751952E+00 0.00000000000000E+00 x8 : 1.37673565948149E+00 1.33638235504610E-50 x1 : 1.91102168714801E-01 4.67733824266134E-51 x5 : 6.92690940558830E-02 -4.24177834860113E-51 x4 : -5.00031780582155E-02 -6.68191177523049E-52 x7 : 1.00000625153057E+00 0.00000000000000E+00 == err : 1.866E-15 = rco : 1.382E-02 = res : 1.787E-15 == solution 11 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x2 : 5.09473711803257E-01 -1.09388940431153E-62 x6 : 2.54197806311466E-01 -6.14591440950899E-63 x9 : 8.73906191331919E-02 -1.67121992325372E-63 x10 : 4.90950348220657E-01 2.73472351077882E-63 x3 : 1.96267896841884E+00 -1.94469227433161E-62 x8 : 1.34562307974978E+00 1.09388940431153E-62 x1 : 1.82727984663697E-01 -4.25401435010039E-63 x5 : 6.33313003219931E-02 -7.29259602874353E-63 x4 : 5.00028654637741E-02 8.50802870020078E-63 x7 : 9.99993748508534E-01 -1.00562853777006E-66 == err : 4.199E-15 = rco : 1.323E-02 = res : 4.466E-16 == solution 12 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x2 : -5.43186314238694E-01 -1.38983764924794E-49 x6 : 2.88952114574660E-01 1.06910588403688E-49 x9 : -9.74433950325977E-02 -5.34552942018439E-51 x10 : 5.83649613666546E-01 -2.20503088582606E-50 x3 : 1.92006464751952E+00 5.34552942018439E-51 x8 : 1.37673565948149E+00 -1.15835244136451E-51 x1 : 1.91102168714802E-01 4.00914706513829E-51 x5 : 6.92690940558830E-02 1.33638235504610E-50 x4 : 5.00028654637741E-02 -1.27447751260484E-57 x7 : 9.99993748508534E-01 0.00000000000000E+00 == err : 5.106E-16 = rco : 1.382E-02 = res : 4.466E-16 == solution 13 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x2 : -6.13875187057624E-02 -3.04852943937588E+00 x6 : -9.09772673101517E+00 3.66546187787673E-01 x9 : -3.71460699244571E-04 9.54558946865301E-02 x10 : 3.20906233049526E+00 -5.21281796683996E-02 x3 : 4.59253411710302E+00 2.28182878738084E-02 x8 : -5.74425774005525E-01 -1.66595591771224E-02 x1 : -3.33398996354360E-02 -8.01160633154974E-04 x5 : 2.10710413330012E-03 1.01326294609844E-04 x4 : -5.00031780582155E-02 -6.68191177523049E-52 x7 : 1.00000625153057E+00 2.02799644626429E-56 == err : 8.039E-15 = rco : 1.868E-03 = res : 1.787E-15 == solution 14 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x2 : -6.13875187057624E-02 3.04852943937588E+00 x6 : -9.09772673101517E+00 -3.66546187787673E-01 x9 : -3.71460699244571E-04 -9.54558946865301E-02 x10 : 3.20906233049526E+00 5.21281796683996E-02 x3 : 4.59253411710302E+00 -2.28182878738084E-02 x8 : -5.74425774005525E-01 1.66595591771224E-02 x1 : -3.33398996354360E-02 8.01160633154974E-04 x5 : 2.10710413330012E-03 -1.01326294609844E-04 x4 : -5.00031780582155E-02 -6.68191177523049E-52 x7 : 1.00000625153057E+00 2.02799644626429E-56 == err : 8.039E-15 = rco : 1.868E-03 = res : 1.787E-15 == solution 15 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x2 : -6.13875187057624E-02 -3.04852943937588E+00 x6 : -9.09772673101517E+00 3.66546187787673E-01 x9 : -3.71460699244571E-04 9.54558946865301E-02 x10 : 3.20906233049526E+00 -5.21281796683996E-02 x3 : 4.59253411710302E+00 2.28182878738084E-02 x8 : -5.74425774005525E-01 -1.66595591771224E-02 x1 : -3.33398996354360E-02 -8.01160633154974E-04 x5 : 2.10710413330012E-03 1.01326294609844E-04 x4 : 5.00028654637741E-02 0.00000000000000E+00 x7 : 9.99993748508534E-01 0.00000000000000E+00 == err : 8.044E-15 = rco : 1.868E-03 = res : 1.777E-15 == solution 16 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x2 : -6.13875187057624E-02 3.04852943937588E+00 x6 : -9.09772673101517E+00 -3.66546187787673E-01 x9 : -3.71460699244571E-04 -9.54558946865301E-02 x10 : 3.20906233049526E+00 5.21281796683996E-02 x3 : 4.59253411710302E+00 -2.28182878738084E-02 x8 : -5.74425774005525E-01 1.66595591771224E-02 x1 : -3.33398996354360E-02 8.01160633154974E-04 x5 : 2.10710413330012E-03 -1.01326294609844E-04 x4 : 5.00028654637741E-02 0.00000000000000E+00 x7 : 9.99993748508534E-01 0.00000000000000E+00 == err : 8.044E-15 = rco : 1.868E-03 = res : 1.777E-15 == <\PRE> <\HTML>