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Full-Text Articles in Theory and Algorithms

Modular Exponentiation Via The Explicit Chinese Remainder Theorem, Daniel J. Bernstein, Jonathan P. Sorenson Jan 2007

Modular Exponentiation Via The Explicit Chinese Remainder Theorem, Daniel J. Bernstein, Jonathan P. Sorenson

Scholarship and Professional Work - LAS

In this paper we consider the problem of computing xe mod m for large integers x, e, and m. This is the bottleneck in Rabin’s algorithm for testing primality, the Diffie-Hellman algorithm for exchanging cryptographic keys, and many other common algorithms.


Application Of Ansys In Seismic Response Analysis Of Constructing Of High Buildings, Yang Xiaojun Jan 2007

Application Of Ansys In Seismic Response Analysis Of Constructing Of High Buildings, Yang Xiaojun

Xiao-Jun Yang

The dynamic feature of high buildings is discussed in the present study with the application of ANSYS,the large finite element analysis software,aimed at the analysis of dynamic response of high buildings.Based on the case of a 15一story-building,a model of beam and shell 3-D finite element structure is built and the frequency of structure and the mode of vibration are computed in the study;furthermore,the structural dynamic response is discussed under different seismic waves with the use of the history analysis method.The results show that the more intense the seismic wave is,the bigger is the dynamic response of the buildings.The information can …