MathGroup Archive 2009

[Date Index] [Thread Index] [Author Index]

Search the Archive

FindInstance Problem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg105934] FindInstance Problem
  • From: Artur <grafix at csl.pl>
  • Date: Sat, 26 Dec 2009 19:09:03 -0500 (EST)
  • Reply-to: grafix at csl.pl

Dear Mathematica Gurus,
Who have idea how to change my procedure to find any resolution 
following problem in reasonable time:

FindInstance[
 a^6 - 5000 a^5 k^4 + 15625000 a^4 k^8 - 39062500000 a^3 k^12 +
    61035156250000 a^2 k^16 - 346851348876953125 a k^20 +
    574052333831787109375 k^24 - 152587890625 a^3 k^11 n +
    381469726562500 a^2 k^15 n - 715255737304687500 a k^19 n +
    1192092895507812500000 k^23 n + 25000 a^5 k^2 n^2 -
    117187500 a^4 k^6 n^2 + 183105468750 a^3 k^10 n^2 -
    274658203125000 a^2 k^14 n^2 + 95367431640625000 a k^18 n^2 +
    2740025520324707031250 k^22 n^2 + 5000 a^5 k n^3 -
    34375000 a^4 k^5 n^3 + 23437500000 a^3 k^9 n^3 -
    1912231445312500 a^2 k^13 n^3 + 4634094238281250000 a k^17 n^3 +
    4118859767913818359375 k^21 n^3 - 120 a^5 n^4 +
    101281250 a^4 k^4 n^4 - 787626953125 a^3 k^8 n^4 -
    172827148437500 a^2 k^12 n^4 + 3451194763183593750 a k^16 n^4 +
    6292783260345458984375 k^20 n^4 + 66406250 a^4 k^3 n^5 -
    616455078125 a^3 k^7 n^5 + 256347656250000 a^2 k^11 n^5 +
    6629085540771484375 a k^15 n^5 +
    27122914791107177734375 k^19 n^5 - 2500000 a^4 k^2 n^6 -
    1519921875000 a^3 k^6 n^6 + 433349609375000 a^2 k^10 n^6 +
    5464096069335937500 a k^14 n^6 +
    38636028766632080078125 k^18 n^6 - 20031250 a^4 k n^7 -
    341732421875 a^3 k^5 n^7 - 1894716796875000 a^2 k^9 n^7 +
    8129505920410156250 a k^13 n^7 +
    93564096450805664062500 k^17 n^7 + 3131000 a^4 n^8 -
    156031718750 a^3 k^4 n^8 - 9313589208984375 a^2 k^8 n^8 +
    29971120880126953125 a k^12 n^8 +
    81764254665374755859375 k^16 n^8 - 311220703125 a^3 k^3 n^9 -
    5139099121093750 a^2 k^7 n^9 + 20748748779296875000 a k^11 n^9 +
    58457677841186523437500 k^15 n^9 - 31638281250 a^3 k^2 n^10 -
    1204147216796875 a^2 k^6 n^10 +
    25867360687255859375 a k^10 n^10 +
    97581827449798583984375 k^14 n^10 - 135380390625 a^3 k n^11 +
    121599628906250 a^2 k^5 n^11 + 10643425646972656250 a k^9 n^11 +
    95619381858825683593750 k^13 n^11 - 12457191250 a^3 n^12 -
    465429111718750 a^2 k^4 n^12 + 7125597748291015625 a k^8 n^12 +
    176131518226318359375000 k^12 n^12 -
    1778971484375000 a^2 k^3 n^13 + 15609765167236328125 a k^7 n^13 +
    123960684261322021484375 k^11 n^13 -
    427022263671875 a^2 k^2 n^14 + 5523702651367187500 a k^6 n^14 +
    62895859558105468750000 k^10 n^14 - 52864657812500 a^2 k n^15 +
    5566817182763671875 a k^5 n^15 +
    69470368091003417968750 k^9 n^15 + 3181330525000 a^2 n^16 +
    755323840091796875 a k^4 n^16 +
    50732234374265136718750 k^8 n^16 +
    642590379882812500 a k^3 n^17 +
    80834913409423828125000 k^7 n^17 +
    887537465068359375 a k^2 n^18 +
    35437872300158691406250 k^6 n^18 - 104724578519531250 a k n^19 +
    8127588989220458984375 k^5 n^19 - 292795052411778125 a n^20 -
    2870696813570914062500 k^4 n^20 +
    491998345646972656250 k^3 n^21 +
    1722637521892656250000 k^2 n^22 + 201732679018423828125 k n^23 +
    43107630657534703125 n^24 == 0 && k != 0, {a, k, n}, Reals]

Merry Christmas and Happy New Year
Artur



  • Prev by Date: Re: solving equations
  • Next by Date: Re: FindInstance Problem
  • Previous by thread: StringMatchQ and non-ASCII characters
  • Next by thread: Re: FindInstance Problem