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1965 Annual meetings ABtB Active aggregation function aggregation problem Amemiya BUSINESS Stanford University Charnes condition consistent convex set decision alternative decision function defined denoted dependent macrovariable derived domain DUAL Econometric Society Econometrica equivalent set Euclidean Norm Euclidean space f and g finer than f Ford Foundation function h g is perfect given arbitrary given basic function Graduate School Hatanaka hyperplane identify the value Ijiri imperfect input coefficients Input-Output Analysis inverse Leontief system limit our attention linear aggregation coefficient linear aggregation function LINEAR CORRELATION COEFFICIENT linear functionals linearly independent Mathematical matrix maximum deviation microfunction microvariables minimax value non-zero row vector null space output and final paper passive aggregation function Perfect Aggregations perfect with respect Professor W. W. Cooper quoted or reproduced r r Namely reproduced in whole respect to f School of Business statistical fitting unique unit set unit sphere Veinott Yuji