Ultralow-Latency VLSI Architecture Based on a Linear Approximation Method for Computing Nth Roots of Floating-Point Numbers

Author(s):  
Fei Lyu ◽  
Xiaoqi Xu ◽  
Yu Wang ◽  
Yuanyong Luo ◽  
Yuxuan Wang ◽  
...  
2010 ◽  
Vol 163-167 ◽  
pp. 2365-2368 ◽  
Author(s):  
Shu Ling Qiao ◽  
Zhi Jun Han

In this paper, determinate beam and indeterminate beam with multiple span are optimized by using genetic algorithm, the mathematic model of optimize beam is built and the processing method of constraint conditions is given. The examples show that the algorithm could be used for optimizing determinate structure, and also optimizing indeterminate structure. Compared to the linear approximation method, genetic algorithm has advantages of being simple, easy, fast convergence and has no use for changing the objective function and constraint conditions to linearity or other processing. Its results agree with linear approximation method’s. It is the other method that can be adopt in engineering field.


1999 ◽  
Vol 174 (1) ◽  
pp. 53-60 ◽  
Author(s):  
J. O. MARROQUÍN DE LA ROSA ◽  
T. VIVEROS GARCÍA ◽  
J. A. OCHOA TAPIA

Author(s):  
Z-M Ge ◽  
C-W Jen ◽  
F-N Ku

In this paper, the dynamics of the two-gyro Anschütz compass in two cases, i.e. the earth spin velocity and zero vehicle velocity case, as well as the earth spin velocity and non-zero vehicle case, are studied. The detailed exact equations of motion of this compass are obtained by Lagrange's equations. The system is studied by the linear approximation method, and these equations are solved as eigenvalue problems. The stabilities of these motions are also discussed. The analytical stabilities for two cases from the linear approximation method are checked by the numerical solutions.


2008 ◽  
Vol 172 (14) ◽  
pp. 1673-1699 ◽  
Author(s):  
Shaheen S. Fatima ◽  
Michael Wooldridge ◽  
Nicholas R. Jennings

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