quintic's Usage Examples:

In algebra, a quintic function is a function of the form g ( x ) = a x 5 + b x 4 + c x 3 + d x 2 + e x + f , {\displaystyle g(x)=ax^{5}+bx^{4}+cx^{3}+dx^{2}+ex+f.

improved statement follows directly from Galois theory § A non-solvable quintic example.

mathematics, a quintic threefold is a 3-dimensional hypersurface of degree 5 in 4-dimensional projective space.

Non-singular quintic threefolds are Calabi–Yau.

If a = 0, then f is a sextic function (b ≠ 0), quintic function (b = 0, c ≠ 0), etc.

George Jerrard showed that some quintic equations can be solved in closed form using radicals and Bring radicals.

In algebraic geometry, the Barth–Nieto quintic is a quintic 3-fold in 4 (or sometimes 5) dimensional projective space studied by Wolf Barth and Isidro.

example of a conifold is obtained as a deformation limit of a quintic - i.

a quintic hypersurface in the projective space C P 4 {\displaystyle \mathbb.

} See also Quintic function § Other solvable quintics for various other examples in degree 5.

Lagrange's method did not extend to quintic equations or higher, because the resolvent had higher degree.

The quintic was almost proven to have no general.

quintic threefold 3264 The number of conics tangent to 5 plane conics in general position (Chasles) 609250 The number of conics on a general quintic threefold.

4, 5, 6, 7, 8, 9, 10 are sometimes called quadrics, cubic, quartics, quintics, sextics, septics or septimics, octics or octavics, nonics, and decics.

complete proof demonstrating the impossibility of solving the general quintic equation in radicals.

exotic mathematical objects, including widely used images of the Calabi-Yau quintic cross-sections used to represent the hidden dimensions of 10-dimensional.

zero set V of a general section of this bundle is a quintic threefold called a Horrocks–Mumford quintic.

The derivative of a sextic function is a quintic function.

Bring had developed an important transformation to simplify a quintic equation to the form x 5 + p x + q = 0 {\displaystyle x^{5}+px+q=0} (see.

fields of algebraic geometry and arithmetic geometry, the Consani–Scholten quintic is an algebraic hypersurface (the set of solutions to a single polynomial.

In mathematics, a Fermat quintic threefold is a special quintic threefold, in other words a degree 5, dimension 3 hypersurface in 4-dimensional complex.