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This illustration compares the proposed lower bound with the existing lower bounds from [3] and [4], showing that the proposed lower bound is tighter.
The rotation angle for each scenario was optimized using the union bound with the proposed PEP approximation Lower Bound B (presented in (24)).
Applying the asymptotic bound with the small number of time steps resulted in some rather large bounds (≥ 1).
For Barnes, the ideals of this pioneering theatre company are inextricably bound with the heady passions of her youth.
It is rare to see it, and the reason why is intimately bound with the repressive culture Kambalu describes.
It can be bound with the historical dominance of a party and a family's role within that party, such as the Congress party in India.
When our ancestors were taken from their homes and shipped across the sea, bought and sold and bound with the chains of slavery, we endured.
Our self-images are bound with the products we buy, the money we possess and, I now gather, the portions of food we eat.
Dmowski's larger hopes, bound with the creation of the Russian Duma in which the Poles were mainly represented by National Democrats proved unfounded.
Trade finance collapsed in the 1930s, reducing the disruptive effect of exchange rate changes, but Greece's entire economy is closely bound with the EU trade and payment system.
X corresponds to the lower bound with the lowest score and Y corresponds to the upper bound with the highest score.
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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