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This class of meromorphic functions represents all filter transfer functions for finite-order, time-invariant, linear systems, and we write to denote a member of this class.
For ease of exposition, we write to denote and write to denote.
Henceforth, we write to denote the image of the original torus into the 2-complexo through the identifications above.
Let be a positive integer number, pursuing the above-cited idea, we write to denote the th-derivatives of at with for.
We denote by the collection of all nonempty closed bounded subsets of ; we also write to denote the collection of all nonempty compact convex subsets of.
Finally, we write to denote transpose, for the trace operator, (resp., ) to denote the minimum (resp., maximum) eigenvalue of a Hermitian matrix, for a vector norm, and for the set of all nonnegative integers.
Similar(49)
In the sequel, let us write '⇀' to denote 'weak convergence'.
We also write εn to denote the n-th evidence item observed in ε.
We write,, and to denote the vector binary signals at the source and the relay.
Since each alternative hypothesis in a discovery problem (H, K) is mutually exclusive, for a given data stream ε in K there is exactly one hypothesis correct for that data stream; I write H to denote that hypothesis.
Furthermore, since there is a single channel state g, to simplify notation, we will write R to denote R ( g ) for g ∈ G and A to denote A ( s ) for s = (x, g), g ∈ G.
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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