Third-order derivative matrix of a skew ray with respect to the source ray vector at a flat boundary

2020 ◽  
Vol 37 (9) ◽  
pp. 1435
Author(s):  
Psang Dain Lin
Keyword(s):  
Order Derivative ◽  
Third Order ◽  
Derivative Matrix

scholarly journals DETERMINATION OF THE ENERGY GAP OF C60 MOLECULE USING THIRD-ORDER DERIVATIVE ABSORPTION SPECTROSCOPY

1998 ◽  
Vol 47 (2) ◽  
pp. 208
Author(s):  
ZHAO MING-SHAN ◽  
DAI ZUO-XIAO ◽  
LI YI ◽  
LI GUO-HUA ◽  
BU YU-XIANG ◽  
...  
Keyword(s):  
Absorption Spectroscopy ◽  
Energy Gap ◽  
Order Derivative ◽  
Third Order

Resonance Oscillation of Third-Order Forced van der Pol System With Fractional-Order Derivative

2016 ◽  
Vol 11 (4) ◽  
Author(s):  
Nguyen Van Khang ◽  
Bui Thi Thuy ◽  
Truong Quoc Chien
Keyword(s):  
Fractional Order ◽  
Frequency Equation ◽  
Lyapunov Theory ◽  
Van Der Pol Oscillator ◽  
System Stability ◽  
Order Derivative ◽  
Resonance Oscillation ◽  
Third Order ◽  
Van Der Pol ◽  
Fractional Order Derivative

This study aims to investigate the harmonic resonance of third-order forced van der Pol oscillator with fractional-order derivative using the asymptotic method. The approximately analytical solution for the system is first determined, and the amplitude–frequency equation of the oscillator is established. The stability condition of the harmonic solution is then obtained by means of Lyapunov theory. A comparison between the traditional integer-order of forced van der Pol oscillator and the considered fractional-order one follows the numerical simulation. Finally, the numerical results are analyzed to show the influences of the parameters in the fractional-order derivative on the steady-state amplitude, the amplitude–frequency curves, and the system stability.

scholarly journals Comparison of classic and derivative UV spectrophotometric methods for determination of dextromethorphani hydrobromidum

2012 ◽  
Vol 59 (1) ◽  
pp. 22-29
Author(s):  
J. Drozd
Keyword(s):  
Pharmaceutical Preparations ◽  
Derivative Spectrophotometry ◽  
Order Derivative ◽  
Third Order ◽  
Fast Determination ◽  
Spectrophotometric Methods ◽  
Calibration Curves

Comparison of classic and derivative UV spectrophotometric methods for determination of dextromethorphani hydrobromidumA method for the fast determination of dextromethorphani hydrobromidum in pharmaceutical preparations by classic spectrophotometry - zero and first-, second- and third-order derivative spectrophotometry, using "peak - peak" (P - P) and "peak - zero" (P - O) measurements has been performed. The calibration curves are linear within the concentration range of 1.0 - 25.0 μg ml-1 for dextromethorphani hydrobromidum. The procedure is simple, rapid and the results are reliable.

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