from Wiktionary, Creative Commons Attribution/Share-Alike License
- adj. Of or relating to the fifth degree, such as a quintic polynomial which has the form ax5+bx4+cx3+dx2+ex+f (containing a term with the independent variable raised to the fifth power).
- n. a quintic polynomial: ax5+bx4+cx3+dx2+ex+f
from the GNU version of the Collaborative International Dictionary of English
- adj. Of the fifth degree or order.
from The Century Dictionary and Cyclopedia
- Of the fifth degree.
- n. An algebraic function of the fifth degree.
Specifically, it's the "quintic," one step up from the dread quadratic equation that gives so many kids fits in algebra.
A colleague and I were reading your Dec. 5 article "Analyze These!" about two math geniuses and were astonished by the statement that the "quintic" is "one step up from the dread quadratic equation."
High order end conditions and convergence results for uniformly spaced quintic splines (Technical report/Dept. of Mathematics, University of North Carolina at Charlotte) by Norman F Innes
A quintic function is a function with five in the exponent, and a quadratic function is a function with two in the exponent.
The progression goes from quadratic to cubic to quartic to quintic functions.
Niels Abel (180229) proved that the general quintic cannot be solved by radicals.
Oddly enough, I had made identical calculations thirty-four years earlier for the colinear Earth-Moon Lagrange points ( "Stationary Orbits", Journal of the British Astronomical Association, December 1947) but I no longer trust my ability to solve quintic equations, even with the help of HAL, Jr., my trusty H/P 91OOA.
For example, from string-theoretic considerations, Candelas, de la Ossa, Green, and Parkes conjectured the correct formula for the number of degree d rational curves in a Calabi-Yau quintic.
Parksc onjectured the correct formula for the number of degree d rational curves in a Calabi-Yau quintic.
For example, from string-theoretic considerations, Candelas, de la Ossa, Green, and Parks conjectured the correct formula for the number of degree d rational curves in a Calabi-Yau quintic.
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