reduced representation
1.In the manufacture of semiconductor devices, a photographically reduced representation of a circuit or element as used to establish an etching pattern.
2.Through three kinds of control capabilities, a regulation problem is reduced layer by layer. And an extended AND/OR graph for the regulation problem reduction is used to make an explicit representation of the details and process of logic reasoning and numeri- cal calculating for the resulting regulator of structural intelligence.
3.Based on some non-attainable contingent claims which present prices are known in the incomplete markets, the paper provides more investment opportunities to the investers, then modifies the expression of martingale representation theorem, so that the inner risk is reduced.

