quintic equation oor Tagalog

quintic equation

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Kwintiko na punsiyon

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Bring discovered an important transformation to simplify a quintic equation .
Magdala natuklasan ng isang mahalagang pagbabago sa gawing simple ang isang quintic equation.

It enabled the general quintic equation to be reduced to one of the form
Ito enable ang mga pangkalahatang equation quintic na nabawasan na ang isa sa mga form

In 1854 Betti showed that the quintic equation could be solved in terms of integrals resulting in elliptic functions .
Sa 1854 Betti ay nagpakita na ang quintic equation ay maaaring lutas sa mga tuntunin ng integrals na nagreresulta sa tambilugin function.

While in his final year at school, however, Abel had begun working on the solution of quintic equations by radicals .
Habang sa kanyang huling taon sa paaralan, subalit, Abel had sinimulan ang paggawa sa mga solusyon ng quintic equation sa pamamagitan ng radicals.

On the latter topic he had become interested in the problem of solving quintic equations algebraically and made some interesting discoveries on Diophantine problems.
Sa huli topic niya maging interesado sa mga problema ng solving quintic equation algebraically at ginawa ng ilang mga kagiliw-giliw na discoveries sa Diophantine problema.

Abel began working again on quintic equations and, in 1824, he proved the impossibility of solving the general equation of the fifth degree in radicals.
Abel nagsimula nagtatrabaho muli sa quintic equation at, sa 1824, siya proved ang ikaaari ng nilulutas ang mga pangkalahatang equation ng ikalimang degree sa radicals.

On the other hand it gave him the chance to work on what was one of the most original of projects, namely to prove that the quintic equation cannot be solved by radicals .
Sa ang iba pang mga kamay ito ibinigay sa kanya ang pagkakataon na magtrabaho sa kung ano ang noon ay isa sa mga pinaka-orihinal ng mga proyekto, namely upang patunayan na ang quintic equation ay hindi maaaring malulutas sa pamamagitan ng radicals.

By the time Jacobi left school he had read advanced mathematics texts such as Euler 's Introductio in analysin infinitorum and had been undertaking research on his own attempting to solve quintic equations by radicals .
Ng oras Jacobi kaliwa paaralan niya basahin ang mga advanced na matematika teksto tulad ng Euler 's Introductio sa analysin infinitorum at had been pagsasagawa ng pananaliksik sa kanyang sariling mga pagtatangka upang malutas ang quintic equation sa pamamagitan ng radicals.

While in Ireland in 1843 Eisenstein met Hamilton in Dublin, a city he would have dearly liked to have settled in, and Hamilton gave him a copy of a paper that he had written on Abel 's work on the impossibility of solving quintic equations .
Habang sa Ireland sa 1843 Eisenstein matugunan Hamilton sa Dublin, isang lungsod siya ay may mahal nagustuhan na magkaroon ng husay sa, at Hamilton ibinigay sa kanya ng isang kopya ng isang papel na niya na nakasulat sa Abel 's trabaho sa ikaaari ng solving quintic equation.

By the time Jerrard discovered the transformation, Ruffini 's work and Abel 's work on the impossibility of solving the quintic and higher order equations had been published. However, at the time of Bring's discovery, there was no hint that the quintic could not be solved by radicals and, although Bring does not claim that he discovered his transformation in an attempt to solve the quintic, it is likely that this is in fact why he was examining quintic equations.
Ng oras Jerrard natuklasan ang pagbabagong-anyo, Ruffini 's trabaho at Abel' s trabaho sa ikaaari ng tuos ang quintic at mas mataas na-order ng equation ay nai-publish na. Subalit, sa oras ng Dalhin's diskubre, wala ang parinig na ang quintic ay hindi malulutas sa pamamagitan ng radicals at, bagaman Dalhin ay hindi claim na siya sa kanyang natuklasan na pagbabago sa pagtatangkang malutas ang quintic, ito ay malamang na ito ay sa katunayan kung bakit siya ay ang pagsusuri quintic equation.

In 1799 Ruffini published a book on the theory of equations with his claim that quintics could not be solved by radicals as the title shows: General theory of equations in which it is shown that the algebraic solution of the general equation of degree greater than four is impossible.
Sa 1799 Ruffini-publish ng isang libro sa teorya ng equation sa kanyang claim na quintics ay hindi malulutas sa pamamagitan ng radicals na ang pamagat ay nagpapakita ng: General teorya ng equation na ito ay ipinapakita na ang mga algebraic ng solusyon ang mga pangkalahatang equation ng mga degree ay mas malaki kaysa sa apat na imposible.

Also like Galois he was attracted by the problem of solving algebraic equations and one of the two papers attempted to show that the quintic cannot be solved in radicals.
Din tulad ng Galois siya ay attracted sa pamamagitan ng mga problema ng solving algebraic equation at ng isa sa dalawang mga papeles tinangka upang ipakita na ang quintic ay maaaring hindi malulutas sa radicals.

Certainly no mathematician has published such a claim and even Lagrange in his famous paper Reflections on the resolution of algebraic equations says he will return to the question of the solution of the quintic and, clearly, he still hoped to solve it by radicals.
Totoong walang dalubbilang ay nai-publish na tulad ng mga kahilingan at kahit Lagrange sa kanyang tanyag na papel sa Reflections ang resolution ng algebraic equation nagsasabing siya ay bumalik sa katanungan ng mga solusyon ng quintic at, malinaw, siya pa rin inaasam na malutas ito sa pamamagitan ng radicals.