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Other moments revealed Judge Scheindlin to be struggling with an essential difficulty of the case: how to measure the constitutionality of not one single street stop — that is a familiar task for judges — but millions of stops conducted over many years.
However, the study of the generic uniqueness of solutions to VEPs has an essential difficulty: that the values of different vector-valued functions are incomparable.
Fundamentally, however, the gap between aesthetic experience and aesthetic judgments yields an essential difficulty for aesthetic theories since these are necessarily formulated propositionally, and therefore cannot entirely capture the richness of immediate, first-personal aesthetic experience.
Model-checking has proved to be effective in the verification of classical cryptographic protocols, but an essential difficulty arises when it is applied to quantum systems: the state space of a quantum system is always a continuum even when its dimension is finite.
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For convenience, we reformulate the system (1) as ρ t + div ( ρ u ) = 0, ρ u t + ρ u · ∇ u + ∇ p = Δ u + ∇ div u + curl H × H, H t + curl ( u × H ) − Δ H = 0, div H = 0, (4). in ( 0, ∞ ) × ℝ + 3. Notice that we have normalized some physical constants to be unit but without reducing any essential difficulties for our analysis.
The main technical contribution of the present work was unraveling which measurements to make on the surface of the TM to find the 3 moduli (see Fig. 1 lower row), and overcoming the essential difficulty in applying a calibrated shear force by the AFM cantilever in the surface plane of the TM.
By Jia Tolentino June 8, 2017 Andrea Constand, who has accused Bill Cosby of sexual assault, has been a remarkable example of what it takes to stand up to the essential difficulty of the dynamics of a rape trial.
Though her cross-examination was scattered and slow, and, all things considered, probably easier than it might have been, Constand has nonetheless been a remarkable example of what it takes to stand up to the essential difficulty of this dynamic, in which an alleged victim, after being forced to participate in a sexual encounter, is implicated by the fact that the sexual encounter occurred.
This led us to introduce a regularized problem in order to overcome this essential difficulty.
There does seem to be the essential difficulty of grappling with any understanding of Scientology.
After the researchers plotted the data, they confronted the essential difficulty of all attempts to say just how frightful the weather feels to the average person.
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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