H2T17R.mw, Polynomin juurien sensitiivisyys

PkkicEc2Ii1JKHByb2R1Y3RHRiQ2JCwmSSJ4R0YkIiIiSSJpR0YkISIiL0YrO0YqIiIp print(); # input placeholder PkkjcGVHNiItSSdleHBhbmRHJSpwcm90ZWN0ZWRHNiNJInBHRiQ= print(); # input placeholder LUknZnNvbHZlRzYiNiMvSSNwZUdGJCIiIQ== print(); # input placeholder Muutetaan LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiN0YnL0Y2USdub3JtYWxGJ0YyRjUvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRj4=:n kerrointa hiukan: PkkicUc2IiwmSSNwZUdGJCIiIiokSSJ4R0YkIiIoJCEiIiEiJA== print(); # input placeholder LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEnZnNvbHZlRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNictRiw2JVEicUYnRi9GMi1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkUvJSlzdHJldGNoeUdGRS8lKnN5bW1ldHJpY0dGRS8lKGxhcmdlb3BHRkUvJS5tb3ZhYmxlbGltaXRzR0ZFLyUnYWNjZW50R0ZFLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGVC1JI21uR0YkNiRRIjBGJ0ZBLyUrZXhlY3V0YWJsZUdGRUZBRkEtRiw2I1EhRictSSdtc3BhY2VHRiQ2Ji8lJ2hlaWdodEdRJjAuMGV4RicvJSZ3aWR0aEdRJjAuMGVtRicvJSZkZXB0aEdGX28vJSpsaW5lYnJlYWtHUSVhdXRvRidGZ25GZW5GQQ== Vain 6 reaalijuurta. LUknZnNvbHZlRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiUvSSNwZUdGJyIiIUkieEdGJ0koY29tcGxleEdGJQ== print(); # input placeholder Juuret x=6 ja x=7 hajosivat reilusti kompleksitason puolelle. JSFH LUklcGxvdEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYlNyRJI3BlR0YnSSJxR0YnL0kieEdGJzskIiImISIiJCIjJilGMS9JInlHRic7ISUrNSIlKzU= %; JSFH On luonnollista, ett\303\244 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kertoimen muttaminen vaikuttaa eniten kuvaajaan t\303\244ll\303\244 alueella (koska sen kerroin on 36-kertainen 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kertoimeen verrattuna. Miten voitais analysoida kvantitatiivisesti? JSFH SSJwRzYi print(); # input placeholder SSNwZUc2Ig== print(); # input placeholder Tarkoittakoon P polynomia pe, jossa -36:n paikalla on LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy . Tutkitaan funktiota LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYwLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRJyYjOTQ1O0YnL0YwUSZmYWxzZUYnL0YzUSdub3JtYWxGJ0Y/Rj8tSSNtb0dGJDYtUSI9RidGPy8lJmZlbmNlR0Y+LyUqc2VwYXJhdG9yR0Y+LyUpc3RyZXRjaHlHRj4vJSpzeW1tZXRyaWNHRj4vJShsYXJnZW9wR0Y+LyUubW92YWJsZWxpbWl0c0dGPi8lJ2FjY2VudEdGPi8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlUtRkI2LVEifkYnRj9GRUZHRklGS0ZNRk9GUS9GVFEmMC4wZW1GJy9GV0Zmbi1GLDYlUStrZXJycm9pbnRhRidGL0YyRlhGOkZYLUYsNiVRKXZhc3RhYXZhRidGL0YyRlgtRiw2JVErbm9sbGFrb2h0YUYnRi9GMi1GQjYtUSIuRidGP0ZFRkdGSUZLRk1GT0ZRRmVuRmduRlhGPw== PkkneWh0YWxvRzYiLy1JIlBHRiQ2JC1JInhHRiQ2I0kmYWxwaGFHRiRGLCIiIQ== print(); # input placeholder LUklZGlmZkclKnByb3RlY3RlZEc2JEkneWh0YWxvRzYiSSZhbHBoYUdGJw== print(); # input placeholder PkkmZHhkYWxHNiItSSZzb2x2ZUdGJDYkSSIlR0YkLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInhHRiQ2I0kmYWxwaGFHRiRGMA== print(); # input placeholder JSFH PkkkcGFsRzYiLUknZXhwYW5kRyUqcHJvdGVjdGVkRzYjLCZJI3BlR0YkIiIiKiYsJiIjT0YrSSZhbHBoYUdGJEYrRitJInhHRiQiIihGKw== print(); # input placeholder Pkkkb3NvRzYiLUklZGlmZkclKnByb3RlY3RlZEc2JEkkcGFsR0YkSSZhbHBoYUdGJA== print(); # input placeholder PkklbmltaUc2Ii1JJWRpZmZHJSpwcm90ZWN0ZWRHNiRJJHBhbEdGJEkieEdGJA== print(); # input placeholder PkktdmlyaGVrZXJyb2luRzYiLCQtSSVzdWJzRyUqcHJvdGVjdGVkRzYlL0kieEdGJCIiKC9JJmFscGhhR0YkISNPKiZJJG9zb0dGJCIiIkklbmltaUdGJCEiIkY0 print(); # input placeholder Pkkia0c2Ii1JJmV2YWxmRyUqcHJvdGVjdGVkRzYjSSIlR0Yk print(); # input placeholder JSFH Kertoimen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NDU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSUYy pieni muutos t\303\244ss\303\244 luokkaa 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 JSFH KiZJImtHNiIiIiItSSJeRyUqcHJvdGVjdGVkRzYkIiM1ISIkRiU= print(); # input placeholder JSFH T\303\244m\303\244 on oikea suuruusluokka ongelmajuurien (x=6,x=7) virheille. JSFHJSFH

JSFH PkkicEc2Ii1JKHByb2R1Y3RHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2JCwmSSJ4R0YkIiIiSSJpR0YkISIiL0YuO0YtIiM/ print(); # input placeholder PkkjcGVHNiItSSVzb3J0RyUqcHJvdGVjdGVkRzYjLUknZXhwYW5kR0YnNiNJInBHRiQ= print(); # input placeholder LUknZnNvbHZlRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQvSSNwZUdGJyIiIUkieEdGJw== print(); # input placeholder Muutetaan hyvin v\303\244h\303\244n kerrointa -210. Ja sit\303\244 rataa. Kts. Forsythe-Malcolm-Moler: Computer Methods for Mathematical Computations, ss. 18-19, Prentice Hall 1977

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