41. Math If Being Spammed With Clours Is Your Idea Of A Good Client, See Bitch X Bet schnitzl, tehdod do you mean this http//en.wikipedia. org/wiki/fundamental_theorem_of_algebra ? action, sniper89 just got his coffee and is now going to http://ircarchive.info/math/2007/4/17/58.html

#math - Tue 17 Apr 2007 between 18:12 and 18:24 Page: Prev Next Last Day: Previous Next nawa if being spammed with clours is your idea of a good client, see bitch x better - looks neater and/or is easier to use and/or has better functionality :D delewis nawa: those are easy to disable. lillpelle sniper89: this is offtopic delewis sniper89: I recommend 'telnet' right, sorry lol yeah, and some fackin' diddy donuts! well. gotta concentrate on maths action sniper89 needs caffeine needs caffeine tehdod is there any proof that each equtation on n'th degree has n solutions? delta I'm not clear what you mean exactly. schnitzl tehdod: do you mean this: http://en.wikipedia.org/wiki/Fundamental_theorem_of_algebra action sniper89 just got his coffee and is now going to start doing his homework just got his coffee and is now going to start doing his homework I know you don't care anyway :P tehdod true/ that one. tehdod x^2 = is a 2th equation and has only 1 solution... no ? delewis there's a proof for it. there are still two solutions. tehdod StaZ[home]: not true anyway i know theres topological one delewis the proof that I've seen for the FTA involves a bit of Galois theory.

42. Why Do We Use Complex Numbers http//en.wikipedia.org/wiki/fundamental_theorem_of_algebra By this way, roots F(x)=0 maybe Complex. In the other side Laplace transform is like a http://www.edaboard.com/ftopic173414.html

Recent posts topic RSS Search Register ... EDAboard.com Forum Index Author Message serimc Joined: 07 Jan 2005 Posts: 18 31 May 2006 16:05 Why do we use complex numbers Hi s=a+jb 2 dimensional expreesion.Why do we need to use this?In laplace transform or fourier ,we all transfer our mathematical expreesion to 2 dimensional domain.Right? But why do we do this?What is the magic behind the curtains?In engineering we do everything with transforms.I do also.But still i don't know what a complex number is. Can you explain what comlex numbers indicate please? I hope i can expalin what i mean. I am looking for your answers Back to top anomaly Joined: 09 May 2006 Posts: 19 Helped: 31 May 2006 17:28 Why do we use complex numbers This may help some: http://mathforum.org/library/drmath/view/53809.html Back to top DMan Joined: 20 Oct 2005 Posts: 40 Helped: Location: Slovenia 31 May 2006 17:44 Re: Why do we use complex numbers If you apply nonperiodic signal to the electronic system your response will be nonperiodic and therefore you should observe it in time domian. If you apply periodic signal to the system and you observe the response in time domain you will see that the response repeats it self-is periodic with the period of the input signal Therefore you are interested only in observing signal in the time in one period. the next period is a copy of past etc.

43. Fundamental Theorem Of Algebra DBpedia.org Translate this page http//dbpedia.org/resource/fundamental_theorem_of_algebra . http//www4.wiwiss.fu-berlin.de/flickrwrappr/photos/fundamental_theorem_of_algebra http://dbpedia.org/resource/Fundamental_theorem_of_algebra

44. When Are Two Proofs Essentially The Same? « Gowers’s Weblog http//en.wikipedia.org/wiki/fundamental_theorem_of_algebra Proofs I consider the proofs listed in the wikipedia article under complex analysis and topology http://gowers.wordpress.com/2007/10/04/when-are-two-proofs-essentially-the-same/

var gaJsHost = (("https:" == document.location.protocol) ? "https://ssl." : "http://www."); document.write(unescape("%3Cscript src='" + gaJsHost + "google-analytics.com/ga.js' type='text/javascript'%3E%3C/script%3E")); Mathematics related discussions The exchange lemma and Gaussian elimination A paper on the ArXiV When are two proofs essentially the same? A general remark that becomes clear quickly when one thinks about this is that there are fairly standard methods for converting one proof into another, and when we apply such a method then we tend to regard the two proofs as not interestingly different. For example, it is often possible to convert a standard inductive proof into a proof by contradiction that starts with the assumption that is a minimal counterexample. In fact, to set the ball rolling, let me give an example of this kind: the proof that every number can be factorized into primes. The usual approach is the minimal-counterexample one: if there is a positive integer that cannot be factorized, let be a minimal one;

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Shop for at ml-shopping.com Web www.ml-shopping.com Web www.ml-shopping.com Fundamental theorem of algebra In mathematics , the fundamental theorem of algebra states that every complex polynomial p z in one variable and of degree n has some complex root . In other words, the field of complex numbers is algebraically closed and therefore, as for any other algebraically closed field, the equation p z has n roots ( not necessarily distinct). The name of the theorem is now considered something of a misnomer by many mathematicians, since it is not fundamental for contemporary algebra Contents History Proofs Analytical proofs Topological proofs ... References History Peter Rothe (Petrus Roth), in his book Arithmetica Philosophica (published in 1608), wrote that a polynomial equation of degree n (with real coefficients) may have n solutions. Albert Girard , in his book L'invention nouvelle en l'Alg¨bre (published in 1629), asserted that a polynomial equation of degree n has n . However, when he explains in detail what he means, it is clear that he actually believes that his assertion is always true; for instance, he shows that the equation x x , although incomplete, has four solutions: i , and i As will be mentioned again below, it follows from the fundamental theorem of algebra that every polynomial with real coefficients and degree greater than

46. Fundamental Theorem Of Algebra - Biocrawler fundamental_theorem_of_algebra. Retrieved from http//www.biocrawler. com/encyclopedia/fundamental_theorem_of_algebra http://www.biocrawler.com/encyclopedia/Fundamental_theorem_of_algebra

Inline videos See also: Category: Articles with embedded Videos. Fundamental theorem of algebra From Biocrawler In mathematics , the fundamental theorem of algebra states that every complex polynomial of degree n has exactly n zeroes , counted with multiplicity. More formally, if (where the coefficients a a n can be real or complex numbers), then there exist ( not necessarily distinct) complex numbers z z n such that This shows that the field of complex numbers , unlike the field of real numbers , is algebraically closed n a and the sum of all the roots equals - a n The theorem had been conjectured in the 17th century but could not be proved since the complex numbers had not yet been firmly grounded. The first rigorous proof was given by Carl Friedrich Gauss in 1799. (An almost complete proof had been given earlier by d'Alembert .) Gauss produced several different proofs throughout his lifetime. All proofs of the fundamental theorem necessarily involve some analysis , or more precisely, the concept of continuity of real or complex polynomials. The main difficulty in the proof is to show that every non-constant polynomial has at least one zero. We mention approaches via complex analysis topology , and algebra Find a closed disk D of radius r p z p z r p z D is therefore achieved at some point z in the interior of D p z m p z ) is a holomorphic function in the entire complex plane. Applying

47. 代数学の基本定理 Translate this page Category deFundamentalsatz_der_Algebraenfundamental_theorem_of_algebra esTeorema_fundamental_del_álgebrafrThéorème_de_d Alembert-Gaussko _ http://xn--4dkc.jp/dictionary/D1007/727.html

.:MemoMsg:. MemoMsgã¯ã€ãƒ•ãƒªãƒ¼ç™¾ç§‘äº‹å ¸ã€Ž （Wikipediaï¼‰ã€ã‚’å ƒã«åˆ¶ä½œã—ã¦ã„ã¾ã™ã€‚ fundamental theorem of algebra x n n x f x f x c c x f x c Category:代数学 de:Fundamentalsatz_der_Algebra en:Fundamental_theorem_of_algebra es:Teorema_fundamental_del_¡lgebra fr:Th©or¨me_de_d'Alembert-Gauss ko:대수학의_기본_정리 nl:Hoofdstelling_van_de_Algebra pl:Zasadnicze_twierdzenie_algebry sl:Osnovni_izrek_algebre sv:Algebrans_fundamentalsats zh:代数基本定理 Previous Next is License: GFDL

48. Fundamental Theorem Of Algebra - Definition Of Fundamental Theorem Of Algebra - This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article fundamental_theorem_of_algebra . Browse http://dictionary.laborlawtalk.com/Fundamental_theorem_of_algebra

keywords The fundamental theorem of algebra (now considered something of a misnomer by many mathematicians) states that every complex polynomial of degree n has exactly n zeroes, counted with multiplicity. More formally, if (where the coefficients a a n can be real or complex numbers), then there exist ( not necessarily distinct) complex numbers z z n such that This shows that the field of complex numbers , unlike the field of real numbers , is algebraically closed n a and the sum of all the roots equals - a n The theorem had been conjectured in the 17th century but could not be proved since the complex numbers had not yet been firmly grounded. The first rigorous proof was given by Carl Friedrich Gauss in 1799. (An almost complete proof had been given earlier by d'Alembert .) Gauss produced several different proofs throughout his lifetime. All proofs of the fundamental theorem necessarily involve some analysis , or more precisely, the concept of continuity of real or complex polynomials. The main difficulty in the proof is to show that every non-constant polynomial has at least one zero. We mention approaches via complex analysis topology , and algebra Find a closed disk D of radius r p z p z r p z D is therefore achieved at some point z in the interior of D p z m p z ) is a holomorphic function in the entire complex plane. Applying

49. Fundamental Theorem Of Algebra - Exampleproblems Retrieved from http//exampleproblems.com/wiki/index. php/fundamental_theorem_of_algebra . Categories Abstract algebra Complex analysis Field theory http://exampleproblems.com/wiki/index.php/Fundamental_theorem_of_algebra

Fundamental theorem of algebra From Exampleproblems Jump to: navigation search In mathematics , the fundamental theorem of algebra states that every complex polynomial of degree n has exactly n roots (zeros), counted with multiplicity . More formally, if (where the coefficients can be real or complex numbers), then there exist ( not necessarily distinct) complex numbers such that This shows that the field of complex numbers , unlike the field of real numbers , is algebraically closed . An easy consequence is that the product of all the roots equals n a and the sum of all the roots equals a n A weaker form of this theorem had been conjectured in the 17th century by Albert Girard. In his book (published in 1629), he asserted that every polynomial equation of degree n with real coefficients has n solutions, but he did not state that they were necessarily complex numbers. A first attempt at proving the theorem was made by d'Alembert in 1746, but his proof was incomplete. Other attemps were made by Euler Lagrange (1772), and Laplace (1795). These last three attemps assumed implicitely Girard's assertion; to be more precise, the existence of solutions was assumed and all that remained to be proved was that their form was a b i for some real numbers a and b A much more rigorous proof (which did not assume the existence of roots) was published by Gauss in 1799, but it had a topological gap. A rigorous proof was published by

50. PROOT Taking Too Loooooong ... [HP48] http//nostalgia.wikipedia.org/wiki/fundamental_theorem_of_algebra http//education.ti.com/educationportal/sites/US/productDetail/us_polyroot_89.html http://www.adras.com/PROOT-taking-too-loooooong.t1420-182.html

in [ Prev: Is there a Capital Pi function in the 50g? Next: Even Mathematica wont solve this. From: Peter A. Gebhardt on 20 Sep 2006 16:14 Below are the coefficients of an Internal Rate of Return (IRR) problem: ] PROOT The above cashflows result into a (period-based) return of 1.164062 % per period (periods are supposed to be months) = 13.968748 % per year. Both my HP17BI+ and my TI BAII Plus Professional give correct answers in about 2 seconds using their standard (built-in) cash-flow routines.. My HP49G+ (2.09) is still running and trying to solve after 2 minutes What is the problem here? Best regards, Peter A. Gebhardt From: John H Meyers on 20 Sep 2006 16:36 On Wed, 20 Sep 2006 16:14:40 -0500, Peter A. Gebhardt wrote: Besides that you should *reverse* the flows before using PROOT to solve for IRR, what's going on is that PROOT finds *all* roots (100 of them in this case :) and that these are all computed over the *complex*plane* is that sufficient explanation? Try taking your *original* (not reversed) matrix (best entered in "Approximate" mode, because "integer" objects slow things down)

51. Title http//www.clarku.edu/~djoyce/complex http//en.wikipedia.org/wiki/fundamental_theorem_of_algebra http://gifted.cet.ac.il/gifted/skira/numbers/numbers8.asp dir=rtl

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53. 0387946578: "Fundamental Theorem Of Algebra" By Benjamin Fine And Gerhard Rosenb Find the best deals on Fundamental Theorem of Algebra by Benjamin Fine and Gerhard Rosenberger (0387946578) http://www.bookfinder.com/dir/i/Fundamental_Theorem_of_Algebra/0387946578/

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54. Fundamental Theorem Of Algebra McFLY. Title page. Fundamental theorem of algebra. The fundamental theorem of algebra (now considered something of a misnomer by many mathematicians) states http://en.mcfly.org/Fundamental_theorem_of_algebra

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55. Polynom N-ten Grades Nur N Nullstellen Translate this page http//en.wikipedia.org/wiki/fundamental_theorem_of_algebra. Thomas. Auf deutsch http//www.matheboard.de/lexikon/index.p atz_der_Algebra http://www.matheboard.de/archive/4135/thread.html

Polynom n-ten Grades nur n Nullstellen SirJective Nun die interessante Frage - wie folgt daraus, dass es nur n Nullstellen haben kann, wenn ich nur n Linearfaktoren abspalten kann? Gruss, SirJective Gnu Ben Sisko Zitat: Original von SirJective Nun die interessante Frage - wie folgt daraus, dass es nur n Nullstellen haben kann, wenn ich nur n Linearfaktoren abspalten kann? Ist das nicht einfach: "Ein Produkt ist Null, wenn mindestens eins seiner Faktoren Null ist." Also die Nullteilerfreiheit?!? @Gnu: Nullstellenberechnung wird zwar in der Schule meistens in der Analysis im Rahmen einer Kurvendiskussion behandelt, aber an sich gehört es in die Algebra. Der Hauptsatz der Algebra, den du ansprichst, besagt, dass man im Körper der komplexen Zahlen jedes Polynom in n Linearfaktoren aufspalten kann (wenn n sein Grad ist). In C kann man also "...hat höchstens n Nullstellen." ersetzen durch "...hat genau n Nullstellen." SirJective Gibst du uns noch ein Beispiel eines Polynoms, das mehr Nullstellen hat als sein Grad angibt? Ben Sisko Heute jedenfalls nicht mehr genau Irrlicht Die Aussage, dass jedes nichtkonstante komplexe Polynom mindestens eine Nullstelle hat, ist der sogenannte "Fundamentalsatz der Algebra". Sein Beweis erfordert Hilfsmittel der Analysis. Ich kenne 3 Beweise aus der Funktionentheorie. Hier sind noch ein paar:

56. Fundamental Theorem Of Algebra - Wikipedia Fundamental theorem of algebra. Redirected from Fundamental Theorem of Algebra. The fundamental theorem of algebra (now considered something of a misnomer http://wikipedia.inetbridge.net/fu/Fundamental_Theorem_of_Algebra.html

Wikipedia Wiki Content Fundamental theorem of algebra [Your user agent does not support frames or is currently configured not to display frames. However, you may visit the related document. The fundamental theorem of algebra (now considered something of a misnomer by many mathematicians) states that every complex polynomial of degree n has exactly n zeroes, counted with multiplicity. More formally, if (where the coefficients a a n can be real or complex numbers), then there exist (not necessarily distinct) complex numbers z z n such that This shows that the field of complex numbers , unlike the field of real numbers , is algebraically closed . An easy consequence is that the product of all the roots equals (-1) n a and the sum of all the roots equals - a n The theorem had been conjectured in the 17th century but could not be proved since the complex numbers had not yet been firmly grounded. The first rigorous proof was given by Carl Friedrich Gauss in the early 19th century. (An almost complete proof had been given earlier by d'Alembert .) Gauss produced several different proofs throughout his lifetime. It is possible to prove the theorem by using only algebraic methods, but nowadays the proof based on

57. Fundamental Theorem Of Algebra Fnd. The Fundamental Theorem of Algebra states that every complex polynomial of degree. n has exactly n zeroes, counted with multiplicity. More http://september-1.wikipedias.co.uk/uk/Fundamental_Theorem_of_Algebra

Fundamental Theorem of Algebra Fnd The Fundamental Theorem of Algebra states that every complex polynomial of degree n has exactly n zeroes, counted with multiplicity. More formally, if p z z n a n z n-1 a (where the coefficients a a n can be real or complex numbers), then there exist (not necessarily distinct) complex numbers z z n such that p z z z z z z z n This shows that the field of complex numbers is, unlike the field of real numbers , an algebraically closed field . An easy consequence is that the product of all the roots equals (-1) n a and the sum of all the roots equals - a n The theorem had been conjectured in the 17th century but could not be proved since the complex numbers had not yet been firmly grounded. The first rigourous proof was given by Carl Friedrich Gauss in the early 19th century. Gauss produced several different proofs throughout his lifetime. It is possible to prove the theorem by using only algebraic methods, but nowadays the proof based on complex analysis seems most natural. The difficult step in the proof is to show that every non-constant polynomial has at least one zero. This can be done by employing

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59. Vieta-Formel - Newsgroup Archive Translate this page http//en.wikipedia.org/wiki/fundamental_theorem_of_algebra. Ich hatte an den AFAIK von Weil gebrachten Beweis gedacht http://www9.newsgroup-archive.com/t_5514322059478143118_s_Vieta-Formel.html

Home Vieta-Formel From: Subject: Vieta-Formel Date: $$DATE$$ Die Vieta-Formel dient bekanntlich dazu, kubische Gleichungen im casus irreducibilis ohne Umweg ins Komplexe l=F6sen zu k=F6nnen. Das funktioniert modulo Tippfehler wie folgt: Man startet mit der Gleichung x^3 + a_1 x^2 + a_2 x + a_3 =3D und substituiert dann x =3D y - a_1 / 3, was auf y^3 =3D 3 Q y - 2 R mit Q =3D (a_1^2 -3 a_2) / 9 und R =3D (2 a_1^3 - 9 a_1 a_2 + 27 a_3) / 54. f=FChrt. Sodann liefert der Ansatz y =3D - 2 sqrt(Q) c die Gleichung 4 c^3 - 3 c =3D R / Q^(3/2), die man mit dem Ansatz c =3D cos phi und einem Additionstheorem l=F6sen kann. Zwei Fragen dazu: Gr=FC=DFe, Bettina From: Subject: Re: Vieta-Formel Date: $$DATE$$ Vielen Dank, diese Sachen sind mir jetzt klar. Als n=E4chstes benutzt man c =3D cos phi und 4 c^3 - 3 c =3D cos(3 phi). Damit soll angeblich phi =3D 1 / 3 (arccos(R / Q^(3/2)) + m pi) mit m =3D 0,2,4 folgen. Wie kommt man auf m =3D 2 und 4? From: Subject: Re: Vieta-Formel Date: $$DATE$$ "Bekanntlich"? streng monoton wachsend, hat also nur eine einfache reelle Nullstelle. Ergo: Kein casus irreducibiles.

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