Sxetika me to topic pou apodikniei oti 1=2

[ma05860-]

File psou den isxuei auto pou les.Yparxei sinartisi paragwgisimi se ena memonomeno simeio.Swsto auto pou les alla sta poio proxwrimena mathimatika yparxei paragwgos se ena simeio.Gia paradeigma yparxei i meriki paragwgos se ena simeio enos sinolou mias sunartisis.Diladi otan orizetai mia sinartisi sto(3,8)U{2} boroume na broume tin meriki paragogo sto (3,8) me ton gnwsto typo kai tin meriki paragwgo sto {2} me ena kainourgio tupo pou einai basika o upologismos enos oriou pou teinei sto 2.

[Sta]

Aposafhnizw to erwthma pou e8esa,lew px an einai dunato na uparxei synarthsh paragwgisimh sto shmeio x=0 kai pou8ena allou.De milaw gia merikh paragwgish,milaw gia aplh paragwgish.To problhma einai 8ewrhtika sta oria ths ylhs tou lukeiou.<P>File psou den apedeixes tipote nomizw.Gia na milame gia paragwgo ontws prepei h synarthsh na orizetai se diasthma,h paragwgos omws giati de borei na orizetai se memonwmeno shmeio?O sullogismos sou nomizw de stekei.

[psou]

Stekei!Apla skepsou pws ousiastika h paragwgos einai ena orio.To orio "khneitai" meta3y kapoiwn ari8mwn.Ara den arkei mono enas ari8mos gia ton ypologismo tou oriou tou logou metavolhs.Gia paradeigma: an 8eloume na apodeixoume oti h f(x) einai paragwgisimh sto x=0, tote 8a prepei:<BR>limλ(x)=limλ(x)=K<BR>x->0- x->0+<BR>Me k anhkei sto R.<BR>opou λ(x) einai to orio tou logou metavolhs ( (f(x)-f(xo))/x-xo )<BR>Synepws, gia na ypar3ei paragwgos se ena shmeio, 8a prepei na exoume th dinatothta na to prosegisoume.Ara, an exoume mono ena shmeio,den boroume na to kanoume ayto kai etsi de boroume na poume oti einai paragwgisimh h synarthsh.Exalou, an mia synarthsh exei ws pedio orismou enan monadiko ari8mo, tote DEN 8A EINAI SYNEXHS se ayto to shmeio (giati den 8a yparxoun ta pleyrika oria),epomenws den 8a einai paragwgisimh.Oso gia th merikh paragwgo den exw apopsh, epeidh den to 3erw <BR>A!sto proprohgoumeno reply mou, exw kanei ena la8os, h paragwgos ekfrazei to ry8mo metavolhs tou y ws pros x.

[Jheremias]

Συμφωνώ απόλυτα...Νομίζω πως ο psou εχει απόλυτο δίκαιο ως προς τη δικαιολόγηση,αν κάποιος έχει αντίρρηση να την εκθέσει για να προβληματιστούμε και μεις...<P>Ασχετο,φίλε psou τι κατεύθυνση είσαι;Θετική ή τεχνολογική;<P>Φιλικά,<BR>Jheremias <P>Υ.Γ Το λάθος δεν μπορεί να είναι στο C. Όσο υπάρχει ακόμα ολοκλήρωμα στη σχέση μας, το C μπορεί να παραλειφθεί....

[Sta]

File psou nomizw den egina katanohtos,egw den eipa h synarthsh na orizetai se ena mono shmeio h na einai sunexhs se ena mono shmeio,h synarthsh 8a orizetai se diasthma kai 8a einai kai sunexhs se ayto.As poume oti estw f:R-> R ,kai sunexhs,ekei 8etw egw to erwthma:einai dunaton h f na einai paragwgisimh mono sto x=0 kai pou8ena allou?<BR>H syglish sto x=0 gia ton upologismo ths paragwgou opws blepeis einai dunath,afou h f einai orismenh sto R.

[sh4dow]

gosta100 ginete auto pou les? den exo xanadei kati tetoio. to mono pou xero einai to antitheto mporei na symbei. min les gia f(x) = x ? giati mono auti pisteuo plirei tis proipotheseis, f synexis kai paragogisimi asxeta ean einai katakorifi asymptoti i paragogos tis (λογο εφχ στο π/2,3π/2 != οριζεται ) .<P>sorry to pedio orismou tis den einai to R <BR> <p>[ 01-06-2001: Message edited by: sh4dow ]

[ultramarine]

<BLOCKQUOTE><font size="1" face="Verdana, Helvetica, sans-serif">quote:</font><HR>Originally posted by gosta100:<BR><STRONG>File psou nomizw den egina katanohtos,egw den eipa h synarthsh na orizetai se ena mono shmeio h na einai sunexhs se ena mono shmeio,h synarthsh 8a orizetai se diasthma kai 8a einai kai sunexhs se ayto.As poume oti estw f:R-> R ,kai sunexhs,ekei 8etw egw to erwthma:einai dunaton h f na einai paragwgisimh mono sto x=0 kai pou8ena allou?<BR>H syglish sto x=0 gia ton upologismo ths paragwgou opws blepeis einai dunath,afou h f einai orismenh sto R.</STRONG><HR></BLOCKQUOTE><P>Fysika kai einai dynaton na einai paragwgisimh se ena h se perissotera shmeia mono.Ayrio ua soy grapsw kai paradeigma.<BR>Twra mou hrue kati alla den to exw elegksei akoma.Mallon omws isxyei : Estw h synarthsh<BR>f(x)=x[x] gia x apo (0,1)<BR> 0 gia x=0<BR>[x] :Akeraio meros tou x<BR>Ayth nomizw oti einai paragwgisimh sto 0 alla den einai poyuena alloy. Psakse to ligo kai eseis giati twra den mporw na skeftw.<BR>Oson afora tis merikes paragwgoys poy anaferuhkan exw na pw ta ekshs pros apofygin parekshghsewn. H merikes paragwgoi orizontai gia synarthseis perissoterwn twn mia metablhtwn kai oxi anagkastika gia synarthseis pou orizontai se diasthmata kai memwnomena shmeia. Dhl exw px f(x,y,x)=xy+z+2<BR>orismenh sto R^3.Mporw na brw thn merikh paragwgo ws pros x,y,z ktl.Antistoixa mporw na exw synarthsh mias metablhths px: f(x) orismenh se diafora diasthmata <B>alla</B> den exei nohma edw h merikh paragwgos.Pantws eilikrina mprabo sta paidia poy asxoloyntai me ta mauhmatika. Epiteloys oxi olo malakies sto forum...<BR>P.S. File shadow aytos poy egrapse aythn thn "apodeiksh" den eixe skopo na th lysei.Eixe skopo na deiksei ayto poy eipe o JPG. Ara loipon einai toylaxiston akairo ayto poy eipes oti "pire oloklirosi kata paragontes ekei pou den xreiazete".Fysika kai den xreiazetai.Afou skopos toy den htan na th lysei.Kserei na th lynei, pistepse me!Elpizw na egina katanohtos.<BR>Filika ultramarine

[psou]

Jheremias > Texnologikh eimai<BR>gosta100> Den ginetai na einai paragwgisimh mono se ena shmeio, apo th stigmh pou exeis diasthma.giati an exeis px to diasthma <BR>(1-h,1+h) me h na teinei sto 0 exeis:<BR>h f borei na einai paragwgisimh sto 1.omos, 8a yparxei kapoios ari8mos k<h ston opoio 8a einai kai ekei paragwgisimh.Ayto pou sou lew, einai teleiws 8ewrithko alla an to skeyteis 8a katalaveis pws etsi einai

[Sta]

Swsta eipe o filos ultramarine oti uparxei tetoia sunarthsh,de nomizw na einai ayth pou eipe omws.8a prospa8hsw na brw mia tetoia kai 8a sas pw.Paei kai kairos apo tote pou ekana ma8hmatika.