Mathematical Models in Schema Theory
  In this paper, a mathematical schema theory is developed. This theory has
three roots: brain theory schemas, grid automata, and block-shemas. In Section
2 of this paper, elements of the theory of grid automata necessary for the
mathematical schema theory are presented. In Section 3, elements of brain
theory necessary for the mathematical schema theory are presented. In Section
4, other types of schemas are considered. In Section 5, the mathematical schema
theory is developed. The achieved level of schema representation allows one to
model by mathematical tools virtually any type of schemas considered before,
including schemas in neurophisiology, psychology, computer science, Internet
technology, databases, logic, and mathematics.
