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In that context, we point out an elementary example.
In the following, we illustrate how to satisfy condition (2.5) of Theorem 2.1 by an elementary example.
We have chosen an elementary example to illustrate the capabilities of the optimal control formalism: broadband, constant phase excitation which tolerates miscalibration of RF power and variations in RF homogeneity relevant for standard high-resolution probes.
Moreover, the group of even integers under addition is a subgroup of the group of all integers; this is an elementary example of the subgroup concept.
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As an elementary illustration, two examples are given to show the usefulness of these criteria.
A very elementary example concerns the exponent notation.
This analysis is then illustrated on the elementary example of a coupled mechanical and thermodynamic system.
The most elementary example of a cooperative network is the relay channel, consisting of a source, a relay, and a destination [3, 5].
The concrete case study also illustrates, how already in an elementary Markovian example additional complications arise from combined uncertainty.
Another, more elementary, example is the oscillation of a mass-spring system sliding on a moving belt.
Starting from the very elementary example of histograms we present a general notion of finite dimensional model for statistical estimation and we explain what type of risk bounds can be expected from the use of one such model.
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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