Learning in animals is modular (though not encapsulated), and there is growing interest in modular, non-homogeneous models of learning within the neural networks community. Behavior-based artiicial intelligence, with its emphasis on modular components, seems an ideal platform for implementing such systems in autonomous agents. However, historically this community has shunned representation issu...

In this paper, we discuss the theory of the Siegel modular variety in the aspects of arithmetic and geometry. This article covers the theory of Siegel modular forms, the Hecke theory, a lifting of elliptic cusp forms, geometric properties of the Siegel modular variety, (hypothetical) motives attached to Siegel modular forms and a cohomology of the Siegel modular variety. To the memory of my mother

This paper describes a hardware implementation of an arithmetic processor which is efficient for bit-lengths suitable for both commonly used types of Public Key Cryptography (PKC), i.e., Elliptic Curve (EC) and RSA Cryptosystems. Montgomery modular multiplication in a systolic array architecture is used for modular multiplication. The processor consists of special operational blocks for Montgom...

In this paper, we discuss the theory of the Siegel modular variety in the aspects of arithmetic and geometry. This article covers the theory of Siegel modular forms, the Hecke theory, a lifting of elliptic cusp forms, geometric properties of the Siegel modular variety, (hypothetical) motives attached to Siegel modular forms and a cohomology of the Siegel modular variety. To the memory of my mother