Dynamizing Stability
追溯了索洛1957年论文《技术变革与总量生产函数》的数学背景，解释其为何在高度加总层面讨论技术变革，并揭示特征值、特征向量等概念如何使投入产出表加总成为可能。
This article aims to show the mathematical contexts out of which emerged Solow's 1957 article “Technical Change and the Aggregate Production Function.” In particular, it seeks to provide some understanding of its most striking feature, namely, the highly aggregate level on which technical change is discussed and the simple way in which it is represented. The approach is similar to Weintraub's (1991) contextualization of Samuelson's Foundations of Economic Analysis (1947), but it will map out the two mathematical contexts in which Solow's 1957 article can be located. Samuelson's concepts of stability provided Solow the tools for the aggregation of technical change. However, Samuelson's concepts were defined in relation to static equilibrium and not to growth. To arrive at his 1957 representation of technical change, Solow successfully applied P. H. Leslie's concepts and tools of population mathematics. The main mathematical concepts around which this development is described are eigenvalue and eigenvector. It is by the use of these two concepts that aggregation of input-output tables was made feasible.