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I needed to teach my students to trace complicated theoretical arguments and pinpoint and articulate the concepts that underlay them.
And that was one of the most complicated theoretical fits of data that I think I've ever seen.
An alternative is to perform robustness analysis of an MPC controlled system which is though generally avoided due to complicated theoretical formulations, implicitness and conservativeness of the approach.
That is because, for complicated theoretical reasons that have to do with the nature of the strong nuclear force, calculating the precise probabilities for different types of D-meson decays is riddled with difficulty.
That is because, for complicated theoretical reasons that have to do with how the strong nuclear force works, calculating the expected number of different D-meson decays is notoriously tricky.
Ultrafast/nonlinear optics is a fascinating field, where intuitive understanding of underlying physical principles is critical; and it works out beautifully, with measured results confirming complicated theoretical predictions in both time and frequency domains.
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In this way, we can introduce new dimensions that were quite complicated in theoretical models, such as introducing a network structure among the consumers.
The disk electrode is one of the most readily constructed electrode geometries but the perimetric discontinuity complicates the theoretical analysis.
These new discontinuous elements, while in practice greatly simplifying the structure of the algorithm (they carry a single bit of information), complicate the theoretical analysis of its dynamical properties.
I further complicate this theoretical trail by considering that I took this cloth out of sight by burying it, and while the land and cloth touch under the earth, I can neither touch nor see this contact.
The relation between transmit powers and data rates is, however, governed by very a nonconvex function, given by (1) and (2), which significantly complicates the theoretical analysis of the power-rate trade-off.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com