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He extended the duality results of Wolfe [3] for scalar convex programming problems and some of the more duality results for scalar nonconvex programming problems to vector valued programs.
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He would explain the dialectic of social agreement and disagreement in terms of the more basic duality built into the nature of judgement, not the other way round.
Mond [3] presented a slightly different pair of symmetric dual nonlinear programs and obtained more generalized duality results than that of Dantzig et al. [2].
The concrete formulae above are consequences of a more general mathematical duality called Pontryagin duality.
No one lives the duality more publicly than the 11 Israeli-Arab Knesset members who make up almost 10percentt of the lawmaking body.
Viewed more concretely, this duality is cast as "facticity" and "transcendence".
It is shown that there are four significantly distinct cases, with four more related by duality.
We then discuss more advanced topics: duality theory and Lagrange multiplier techniques, models with lack of commitment, and martingale methods in continuous time.
There is more than a duality between East and West inherent in these games; they embody a paradox between the collaborative spirit of global unity and the patriotic spirit of nationalistic competition.
I like these chances to show more complexity, the duality of every situation.
There do exist alternative, more general MAC-BC dualities and transformations, such as mean-squared-error duality [21], signal-to-interference-plus-noise ratio (SINR) duality [12, 22], and rate duality [23], which also account for linear precoding.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com