Examples of using Quartic in English and their translations into Danish
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In it he gave the methods of solution of the cubic and quartic equation.
In 1905 he studied certain quartic surfaces examined earlier by Cayley and Chasles.
I 1905, han studerede visse quartic overflader undersøgt tidligere ved Cayley og Chasles.The final book presents the solution of cubic and quartic equations.
Den sidste bog præsenterer løsningen af cubic og quartic ligninger.Quartic calculator helps you quickly and easily solve fourth degree equations as well as cubic, quadratic and linear equations.
Quartic regnemaskine hjælper dig hurtigt og nemt là ̧se fjerde grad ligninger samt kubiske, kvadratiske og lineære ligninger.MacMahon then worked on invariants of binary quartic forms, following Cayley and Sylvester.
MacMahon derefter arbejdet på invariants af binære quartic former, efter Cayley og Sylvester.Ramanujan was shown how to solve cubic equations in 1902 andhe went on to find his own method to solve the quartic.
Ramanujan blev vist, hvordan man løser kubiske ligninger i 1902 oghan fortsatte med at finde sin egen metode til at løse de quartic.Waring also wrote on algebraic curves, classifying quartic curves into 12 main divisions with 84551 subdivisions.
Waring også skrev om algebraiske kurver, klassificering quartic kurver i 12 hovedafdelinger med 84551 underopdelinger.Ferrari had solved the quartic by radicals in 1540 and so 250 years had passed without anyone being able to solve the quintic by radicals despite the attempts of many mathematicians.
Ferrari havde løst quartic ved radikaler i 1540 og så 250 år var gået, uden at nogen er i stand til at løse de quintic ved radikaler trods af forsøgene på mange matematikere.There followed a period of intense mathematical study by Cardan who worked on solving cubic and quartic equations by radical over the next six years.
Der fulgte en periode med intens matematiske undersøgelse fra Cardan der arbejdet på at løse cubic og quartic ligninger af radikale løbet af de næste seks år.His doctoral dissertation was entitled The Quartic Curve and Its Inscribed Configurations and his thesis supervisor was Frank Morley.
Hans ph.d. -afhandling var berettiget De Quartic kurve og Dens afmærket sammensætninger og hans afhandling vejleder var Frank Morley.The most significant aspect of Waring's treatment of this example is the symmetric relation between the roots of the quartic equation and its resolvent cubic.
Den mest betydningsfulde aspekt af Waring's behandling af dette eksempel er symmetriske forhold mellem rødderne af quartic ligning og dens resolvent kubikmeter.Ferrari clearly understood the cubic and quartic equations more thoroughly, and Tartaglia decided that he would leave Milan that night and thus leave the contest unresolved.
Ferrari klart forstået cubic og quartic ligninger mere grundigt, og Tartaglia besluttet, at han ville forlade Milan, at nat og dermed forlade contest uløst.In 1540 Cardan resigned his mathematics post at the Piatti Foundation,the vacancy being filled by Cardan's assistant Ferrari who had brilliantly solved quartic equations by radicals.
I 1540 Cardan fratrådt sin matematik stilling i PIATTI Foundation,den ledige stilling bliver besat af Cardan assistent Ferrari der havde glimrende løst quartic ligninger ved radikaler.This came out of an investigation he was carrying out into when a ternary quartic form could be represented as the sum of five fourth powers of linear forms.
Dette kom ud af en undersøgelse, han var der foretager sig i forbindelse med en ternaere quartic form kunne være repræsenteret som summen af fem fjerde beføjelser af lineære former.Based on Tartaglia's formula, Cardan and Ferrari, his assistant, made remarkable progress finding proofs of all cases of the cubic and, even more impressively,solving the quartic equation.
Baseret på Tartaglia's formel, Cardan og Ferrari, hans assistent, gjorde bemærkelsesværdige fremskridt finde beviser for alle tilfælde af den kubiske og, endnu mere imponerende,løse quartic ligning.Le Paige studied the generation of plane cubic and quartic curves, developing further Chasles 's work on plane algebraic curves and Steiner 's results on the intersection of two projective pencils.
Le Paige studeret generation af fly cubic og quartic kurver, udvikle yderligere Chasles' s arbejde med plane algebraiske kurver og Steiner's resultater på kryds af to Projektiv blyanter.In particular, discussing Problem 22 of Chapter 3, Weeks writes:The most significant aspect of Waring's treatment of this example is the symmetric relation between the roots of the quartic equation and its resolvent cubic.
Især diskuterer Problem 22 i kapitel 3, uger skriver:Den mest betydningsfulde aspekt af Waring's behandling af dette eksempel er symmetriske forhold mellem rødderne af quartic ligning og dens resolvent kubikmeter.He published his doctoral dissertation as The quartic curve as related to conics in the Transactions of the American Mathematical Society in the year he took up the research assistant position in Baltimore.
Han offentliggjorde sin ph.d. -afhandling som The quartic kurve, som er beslægtet med conics de transaktioner af den amerikanske Mathematical Society i det år, han tog op forsknings assistent stilling i Baltimore.This cut short what had promised to be a stunning mathematical career with his brilliant book Kummer's quartic surface being published by Cambridge University Press in the year of his death.
Denne forkortet, hvad der var lovet at være en fantastisk matematisk karriere med hans glimrende bog Kummer's quartic overflade bliver udgivet af Cambridge University Press i året for hans død.It is unclear exactly how Bombelli learnt of the leading mathematical works of the day, butof course he lived in the right part of Italy to be involved in the major events surrounding the solution of cubic and quartic equations.
Det er uklart, præcis hvordan Bombelli lært af de førende matematiske værker af dagen, mennaturligvis han boede i den rigtige del af Italien at blive inddraget i de store begivenheder omkring løsningen af cubic og quartic ligninger.Dec 14 in Educational& Science Software,E-book Software Web read more Quartic equation calculator 1.0 Quartic calculator helps you quickly and easily solve fourth degree equations as well as cubic, quadratic and linear equations.
Dec 14 I Uddannelsesmæssige og videnskab software,E-bog software Web Læs mere Quartic equation calculator 1.0 Quartic regnemaskine hjælper dig hurtigt og nemt løse fjerde grad ligninger samt kubiske, kvadratiske og lineære ligninger.In 1545 Cardan published Artis magnae sive de regulis algebraicis liber unus, or Ars magna as it is more commonly known,which contained solutions to both the cubic and quartic equations and all of the additional work he had completed on Tartaglia's formula.
I 1545 Cardan offentliggjort Artis magnae tende de regulis algebraicis liber sig, eller Ars magna, da det er mere almindeligt kendt,som indeholdt løsninger til både den kubiske og quartic ligninger og alle de ekstra arbejde, han havde afsluttet den Tartaglia's formel.The cubic equation had been solved by radicals by del Ferro, Tartaglia and Cardan.Ferrari had solved the quartic by radicals in 1540 and so 250 years had passed without anyone being able to solve the quintic by radicals despite the attempts of many mathematicians.
Den kubiske ligning var blevet løst ved radikaler ved del Ferro, Tartaglia og Cardan.Ferrari havde løst quartic ved radikaler i 1540 og så 250 år var gået, uden at nogen er i stand til at løse de quintic ved radikaler trods af forsøgene på mange matematikere.It is unclear exactly how Bombelli learnt of the leading mathematical works of the day, butof course he lived in the right part of Italy to be involved in the major events surrounding the solution of cubic and quartic equations. Scipione del Ferro, the first to solve the cubic equation was the professor at Bologna, Bombelli's home town, but del Ferro died the year that Bombelli was born.
Det er uklart, præcis hvordan Bombelli lært af de førende matematiske værker af dagen, mennaturligvis han boede i den rigtige del af Italien at blive inddraget i de store begivenheder omkring løsningen af cubic og quartic ligninger. Scipione del Ferro, den første til at løse de kubiske ligning var professor på Bologna, Bombelli's hjemby, men del Ferro døde året at Bombelli var født.Other topics Edge worked on, all of which exhibit his mastery of the subject, include nets of quadric surfaces,the geometry of the Veronese surface, Klein 's quartic, Maschke 's quartic surfaces, Kummer 's quartic, the Kummer surface, Weddle surfaces, Fricke's octavic curve, the geometry of certain groups, finite planes and permutation representations of groups arising from geometry.
Andre emner Edge arbejdet på, som alle udviser hans beherskelse af emnet, omfatter redskaber med quadric overflader,geometri af Veronese overflade, Klein's quartic, Maschke' s quartic overflader, Kummer's quartic, Kummer overflade, Weddle overflader, Fricke's octavic kurve, geometri af visse grupper, finite fly og permutation repræsentationer af grupper, der skyldes geometri.However, by the end of the first day,it was clear that things were not going his way. Ferrari clearly understood the cubic and quartic equations more thoroughly, and Tartaglia decided that he would leave Milan that night and thus leave the contest unresolved.
Men ved udgangen af den første dag,var det klart, at tingene var ikke at gå sin vej. Ferrari klart forstået cubic og quartic ligninger mere grundigt, og Tartaglia besluttet, at han ville forlade Milan, at nat og dermed forlade contest uløst.
