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To understand the differences between the fundamental indirect band gap and the direct allowed optical band gap, we have analysed the transition matrix elements for the allowed valence to conduction band transitions.
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We start with studying the RMSE as a function of the difference between the fundamental frequencies of two harmonic sources, i.e., Δω = |ω1 - ω2|, with θ1 = -43.321° and θ2 = 70°.
There's no difference between the fundamental hate of the gangs represented in American History X and the various groups of today's fringe right.
This distinction is often referred to as the difference between the fundamental and the realised niche of the species, the former describing a potential distribution based upon specific features of the environment whilst the latter indicates the distribution we observe.
Some differences still exist due to a fundamental difference between the underlying algorithms.
"There's nothing that our troops can do — nothing — to resolve the fundamental differences between the factions," he said.
This remedy, which originated with President Clinton, is widely supported by the teachers' unions, The legislation and the debate crystallizes the fundamental differences between the two parties.
There she made the literary discoveries that would later form the emotional framework of her fiction - the fundamental differences between the sexes.
That is how the story is told and, while it does contain an essential truth about the fundamental differences between the sides, it is also a little simplistic.
This divergence of opinion continues to be one of the fundamental differences between the Theravada and Mahayana traditions.
It's one of the fundamental differences between the options market and the equities market.
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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