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Notice that the optimal dual argument Λ∗is a set as in the case of the primal optimal arguments because there may be more than one vector that achieves the minimum in (24).
Using a pair (x∗,p∗) of optimal primal arguments as this arbitrary selection yields the inequality g ≥ f 0 ( x ∗ ) + λ 1 T E f 1 h, p ∗ ( h ) − x ∗ + λ 2 T f 2 ( x ∗ ).
Reinterpret (x∗,p∗) as a particular pair of optimal primal arguments.
Most believers see these diversities as complementing each other and leave to scholars the argument that the primal documents may compete with and even contradict each other.
where the equality is true because P and p∗are the otpimal value and arguments of the primal optimization problem (2).
In different ways, both made the novel argument that the evolutionary pressures fostering intelligence in animals were not the primal demands of subsistence but the more abstract ones of living within a complex social hierarchy.
The primal action is at sea.
But the thing itself, the primal catalyst?
One interpreter dubbed it "the primal schmooze".
Onstage, she projects the primal grandeur of Iggy Pop.
In Tune-Yards's songs technology facilitates the primal.
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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