Models of computation and formal languages
Models of computation and formal languages
Introduction To Automata Theory, Languages, And Computation
Introduction To Automata Theory, Languages, And Computation
Combinatorial complexity: are we on the right way?
AIKED'06 Proceedings of the 5th WSEAS International Conference on Artificial Intelligence, Knowledge Engineering and Data Bases
Cryptanalysis of Li et al.'s proxy signature scheme
CONTROL'05 Proceedings of the 2005 WSEAS international conference on Dynamical systems and control
Improvement of a nominative proxy signature scheme for mobile communication
CONTROL'05 Proceedings of the 2005 WSEAS international conference on Dynamical systems and control
On the Sophie Germain prime conjecture
WSEAS Transactions on Mathematics
The converging under-damped harmonic growth of prime numbers
AMERICAN-MATH'12/CEA'12 Proceedings of the 6th WSEAS international conference on Computer Engineering and Applications, and Proceedings of the 2012 American conference on Applied Mathematics
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We have a new model for understanding the behavior of prime numbers that considers the increments as sums of second derivatives. We use the perfectly alternating double-threaded helix prime number growth structure that dominated the first 500 prime numbers after a modulo 6 operation. The multiples of 6 influence the two threads in a 3-D manner. Electromagnetic reversal patterns between the threads and the thread bonds indicate a coordinated 3-D multi-physics growth rate of the prime numbers. The harmonic patterns of a newly mapped 10-step model are also introduced. This new concept is presented as a framework to help apply approaches to understanding and solving our hardest multi-physics and Millennium problems. The last sections of this paper suggest how to apply, adapt, or correlate this framework to with WSEAS research. An exciting electromagnetic multidirectional vector model is the result of applying this framework by forcing a 90-degree molecular bond concept.