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In recent years, various chaotic equation based pseudorandom number generators have been proposed. However, the chaotic equations are all defined in the real number field. In this paper, an equation is proposed and proved to be chaotic in the imaginary axis. And a pseudorandom number generator is constructed based on the chaotic equation. The alteration of the definitional domain of the chaotic equation from the real number field to the complex one provides a new approach to the construction of chaotic equations, and a new method to generate pseudorandom number sequences accordingly. Both theoretical analysis and experimental results show that the sequences generated by the proposed pseudorandom number generator possess many good properties. [ABSTRACT FROM AUTHOR]

The paper discusses applying complex numbers to describe dynamics in building of a synthetic vector measure. A complex number describes the course of the line of regression of coeffcients used to calculate a synthetic measure. The result is also a complex number, denoting the course of the line of regression of the measure value [ABSTRACT FROM AUTHOR]