dual theorem

dual theorem

[¦dül ′thir·əm]
(mathematics)
In projective geometry, the theorem that is obtained from a given theorem by replacing points with lines, lines with points, and operations with their dual operations. Also known as reciprocal theorem.
References in periodicals archive ?
Theorem 6 (The dual theorem between the differential characteristic and linear trail in the Lai-Massey scheme.)
Theorem 6 (The dual theorem between differential characteristic and linear trail of Lai-Massey scheme)
(40) While Pasinetti's theorem emphasizes the capitalists' propensity to save, the dual theorem emphasizes the workers' propensity to save.
Samuelson and Modigliani suggested three purposes in their original paper: to establish the dual theorem, to disassociate it from Kaldor's theory of distribution, and to establish an "asymptotic" stability relation for their model, which is Pasinetti's "instantaneous" stability consideration.
To demonstrate the dual theorem, we make the following additional derivations.
However, Samuelson and Modigliani's dual theorem makes output per capita a function of saving of workers and brings the workers' savings rate back into the picture, whereas Pasinetti's theorem made profit a function of only producers' savings.
"But we demonstrated how the dual theorems will enable engineers to design more functional robots with more than one platform."
"We show how the dual theorems will enable engineers to design more functional robots with more than one platform," says Pennock.
'Undistributed Profits and the Pasinetti and Dual Theorems', Journal of Macroeconomics, 7, 115-19.

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