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Direct linkSwenton, Frank J. – International Journal of Mathematical Education in Science & Technology, 2006
The paper details a comprehensive system for the treatment of the topic of limits--conceptually, computationally, and formally. The system addresses fundamental linguistic flaws in the standard presentation of limits, which attempts to force limit discussion into the language of individual real numbers and equality. The system of near-numbers…
Descriptors: Mathematics Instruction, Calculus, Mathematical Concepts, Number Systems
Yan, S. Y.; James, G. – International Journal of Mathematical Education in Science & Technology, 2006
The modular exponentiation, y[equivalent to]x[superscript k](mod n) with x,y,k,n integers and n [greater than] 1; is the most fundamental operation in RSA and ElGamal public-key cryptographic systems. Thus the efficiency of RSA and ElGamal depends entirely on the efficiency of the modular exponentiation. The same situation arises also in elliptic…
Descriptors: Mathematics, Item Response Theory, Calculus, Multivariate Analysis
