Mathematics for Computer Science
Mathematics for Computer Science
2004Book from gdlhub / 2012-06-25 09:53:51
Oleh : Eric Lehman, Tom Leighton, STIKOM Dinamika Bangsa Jambi
Dibuat : 2012-06-25, dengan 1 file
Keyword : Mathematics for Computer Science
Subjek : Mathematics for Computer Science
Sumber pengambilan dokumen : Internet
A proof isamethodofestablishingtruth.Thisisdoneinmanydifferentwaysineveryday
life:
Jurytrial. Truthisascertainedbytwelvepeopleselectedatrandom.
WordofGod. TruthisascertainedbycommunicationwithGod,perhapsviaathirdparty.
Experimentalscience. Thetruthisguessedandthehypothesisisconfirmedorrefuted
byexperiments.
Sampling. Thetruthisobtainedbystatisticalanalysisofmanybitsofevidence.For
example,publicopinionisobtainedbypollingonlyarepresentativesample.
Innerconviction. My programisperfect.Iknowthistobetrue.
Idontseewhynot... Claimsomethingistrueandthenshifttheburdenofproofto
anyonewhodisagreeswithyou.
Intimidation. Truthisassertedbysomeonewithwhomdisagrementseemsunwise.
Mathematicsitsownnotionofproof.Inmathematics,a proof isaverificationof
a proposition byachainof logicaldeductions fromabasesetof axioms.Eachofthe
threehighlightedtermsinthisdefinitionisdiscussedinasectionbelow.Thelastsection
containssomecompleteexamplesofproofs.
A proof isamethodofestablishingtruth.Thisisdoneinmanydifferentwaysineveryday
life:
Jurytrial. Truthisascertainedbytwelvepeopleselectedatrandom.
WordofGod. TruthisascertainedbycommunicationwithGod,perhapsviaathirdparty.
Experimentalscience. Thetruthisguessedandthehypothesisisconfirmedorrefuted
byexperiments.
Sampling. Thetruthisobtainedbystatisticalanalysisofmanybitsofevidence.For
example,publicopinionisobtainedbypollingonlyarepresentativesample.
Innerconviction. My programisperfect.Iknowthistobetrue.
Idontseewhynot... Claimsomethingistrueandthenshifttheburdenofproofto
anyonewhodisagreeswithyou.
Intimidation. Truthisassertedbysomeonewithwhomdisagrementseemsunwise.
Mathematicsitsownnotionofproof.Inmathematics,a proof isaverificationof
a proposition byachainof logicaldeductions fromabasesetof axioms.Eachofthe
threehighlightedtermsinthisdefinitionisdiscussedinasectionbelow.Thelastsection
containssomecompleteexamplesofproofs.
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