1. The golden ratio, expressed as a continued fraction.

2. A new continued fraction form of the mapping function deduced from the generator function method is applied into both the atmospheric delay and the astronomical refraction.

3. Continued fraction theory is a kind of simple and efficient order-reduction means, but it can not guarantee the stability of the system.

4. Using Laplace transforms and a continued fraction method, the distribution of buffer content is achieved.

4. try its best to gather and create good sentences.

5. N-joint continued fraction algorithm is a practical method for one dimensional research.

6. For this method, the solution of a nonlinear monotone function, which is very common in electromagnetic soundings , is obtained via continued fraction iteration technique.

7. In the sixth chapter, we study the recurrence relations on the Thiele and Thiele-werner continued fraction GVRI.

8. The results of the simulation show that the improved continued fraction theory can ensure the stability of the system and make the reduced system approach the original system.

9. Finally, an appendix presents a large number of special continued fraction expansions.

10. The EM response function from a conducting (both electric and magnetic) sphere in a dipole field is calculated by using the continued fraction technique, and the resultant data and diagram are given.

11. The finite difference depth migration equation in space-frequency domain can be derived when the radical expression is approximated by continued fraction.

12. It is well known that we usually work out the two-fold linear indeterminate equation integer solution by the division algorithm, matrix finding continued fraction convergents, and so on.

13. The definition, basic nature, important rule and historical significance of continued fraction are introduced.

14. In this paper, a kind of accelerating convergence factors are obtained for limit periodic continued fraction.

15. In this paper, a kind of accelerating convergence factors are obtained for limit periodic continued fraction. A good accelerating convergence property is proved on them.