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Combining the dispersive estimate and a standard duality argument, we also derive the corresponding Strichartz inequalities.
In 2000, Bahouri et al. [1] derived the Strichartz inequalities for the wave equation on the Heisenberg group via a sharp dispersive estimate and a standard duality argument (see [2] and [3]).
Yet, it would be possible to scale to larger sizes by using column-generation techniques, whereby only a small subset of the generated set of routes is initially inserted in the problem, and new ones are inserted as needed using standard duality arguments.
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No matter how big or small the life is, by whatever social standard, how these dualities play out, run up against each other, run together, or reverse themselves is always a story.
In this sense, the standard method depends upon duality.
Starting from the time-frequency duality between standard OFDM/OQAM formats and TLO multicarrier formats, we introduce uniform (even- and odd-spaced) FBMC-FLO and FBMC-TLO configurations.
In what follows, we use the standard form of Lagrangian duality which is expressed in terms of minimization with inequality constraints of the form ≤. Under these conditions, the multipliers λ, μ ≥ 0.
In standard economics the "invisible hand," or duality, theorem holds that laissez-faire market performance and Pareto optimality go hand in hand.
A problem we perceive is that the duality of the gold-standards is increasingly blurring the lines between predictions and data.
Without the minimum rate constraints in (5), problem (5) becomes a standard convex optimization problem, and then the duality gap is zero.
DCA is a continuous primal dual subgradient approach based on local optimality and duality in DC programming for solving standard DC programs ((P_{mathrm{dc}}).) DCA's philosophy.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com