Definitions
from The Century Dictionary.
- Of the fifth degree.
- noun An algebraic function of the fifth degree.
from the GNU version of the Collaborative International Dictionary of English.
- adjective (Alg.) Of the fifth degree or order.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- adjective mathematics Of or relating to the
fifth degree , such as a quinticpolynomial which has the form ax5+bx4+cx3+dx2+ex+f (containing a term with the independent variable raised to the fifth power). - noun mathematics a quintic
polynomial : ax5+bx4+cx3+dx2+ex+f
Etymologies
from Wiktionary, Creative Commons Attribution/Share-Alike License
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Examples
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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."
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Specifically, it's the "quintic," one step up from the dread quadratic equation that gives so many kids fits in algebra.
Analyze These! 2007
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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
OpEdNews - Quicklink: Americas | Pilot's gun fired during flight 2008
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A quintic function is a function with five in the exponent, and a quadratic function is a function with two in the exponent.
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The progression goes from quadratic to cubic to quartic to quintic functions.
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Niels Abel (180229) proved that the general quintic cannot be solved by radicals.
1820 2001
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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.
2010 Odyssey Two Clarke, Arthur C. 1982
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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.
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Parksc onjectured the correct formula for the number of degree d rational curves in a Calabi-Yau quintic.
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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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