Примери за използване на Quartic на Английски и техните преводи на Български
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The Relation of the Quartic Curve to Conics.
The Quartic Curve and Its Inscribed Configurations.
He proposed ways to solve cubic and quartic equations.
You can make it a quartic equation. Make it kind of harder, calculating-wise.
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.
The final book presents the solution of cubic and quartic equations.
If we expand this, we get a quartic polynomial, which obviously isn't very helpful.
In this book we can find the solution of the cubic and quartic equation.
The quartic is the highest order polynomial equation that can be solved by radicals in the general case….
MacMahon then worked on invariants of binary quartic forms, following Cayley and Sylvester.
As Ferrari got to grips with Tartaglia's work,he realised that he could use it to solve the more complicated quartic equation.
Waring also wrote on algebraic curves, classifying quartic curves into 12 main divisions with 84551 subdivisions.
Ramanujan was shown how to solve cubic equations in 1902 andhe went on to find his own method to solve the quartic.
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Italian mathematician Girolamo Cardano published the solutions to the cubic and quartic equations in his 1545 book Ars magna.
His doctoral dissertation was entitled The Quartic Curve and Its Inscribed Configurations and his thesis supervisor was Frank Morley.
A key event in the further development of algebra was the general algebraic solution of the cubic and quartic equations, developed in the mid-16th century.
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.
He undertook research into algebraic geometry andwas awarded his Ph.D. for his thesis The Relation of the Quartic Curve to Conics in 1902.
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.
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.
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.
Euler elaborated the theory of higher transcendental functions by introducing the gamma function andintroduced a new method for solving quartic equations.
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.
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.
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.
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.
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.
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.