We give that a polynomial with 5 degree and integer coefficients is not the Jones polynomial of any knot.

Research of overhead cam characteristic based high order polynomial in high speed-gasoline engine;

To adapt to the high speed of modern rapier looms and the requirement of rapier motion curve,a new design method of transitional curve of modified trapezoid acceleration motion for rapier is put forward,which uses high order polynomial as transitional curve.

And then,the quintic polynomial curvilinea motion law is used to improve the design of key position of guide rail.

The quintic polynomial to simulate the locomotor orderliness of the paper feeding tooth are adopted,then proceed to the next step,the mathematic model of the contour line for conjugated cam are established.

On quadratic polynomials n~2±n+c constantly expressing prime numbers and composite numbers;

G~1 convexity preserving quadratic polynomial parametric interpolating curve

Target tracking prediction in WSN based on quadratic polynomial motion modeling

By simulating,computing and analyzing FB2,sine-parabolic and high-order polynomial the cam profile of asymmetrical valve train,the influences of characteristic parameters such as velocity at the end of buffering zone,lift at the end of buffering zone,half-angle of base zone on the cam profile,and the valve movement as well as the self characteristic response of every cam profile were analyzed.

Taking the fullness coefficient and wear design as multi-objectives,we study the optimization of the cam profile of a high-order polynomial using MATLAB and its optimization toolbox.