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This analysis is then illustrated on the elementary example of a coupled mechanical and thermodynamic system.
Another, more elementary, example is the oscillation of a mass-spring system sliding on a moving belt.
And I want to start also with a very homely it's not homely it's a very elementary example, because it's the first futures market.
This is the most elementary example of chaos, but it is easy to construct other formulas for generating number sequences that can be studied rapidly with the aid of the smallest programmable computer.
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.
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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We illustrate these ideas with elementary examples involving blanket films and isolated interconnect lines.
The same elementary examples are used to compare how well (if at all) different calculation methods in the literature account for this influence.
(Elementary examples in this category are discussed in Appendix B). Notable exceptions are echo and reverberation, in which delay characteristics are as important as magnitude characteristics.
But it may not seem crazy when one looks at elementary examples of the cognitive value of logic, such as when we extend our knowledge by deducing logical consequences of what we already know.
Detailed consideration of elementary examples shows that the form of the coupling between the heat input and the unsteady flow has a crucial effect on the frequency of oscillation.
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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