The expressions (6.2) are substituted into (5.6) and (5.8) which are then linearized with respect to the constants marked with atilde.From theCambridge English Corpus
For the sake of simplifying notation, we remove the tildes from the new parametrization.From theCambridge English Corpus
Let tildes denote quantities referring to the configuration at the next time step.From theCambridge English Corpus
We use atildeto represent tuples of expressions.From theCambridge English Corpus
Since / has thus changed from a ^-abstraction to a ^-abstraction, applications of / must be changed totilde-applications as well.From theCambridge English Corpus
We use atildeto denote a finite (and possibly empty) tuple.From theCambridge English Corpus
In what follows we will drop thetildesign where there is no chance of confusion.From theCambridge English Corpus
Xlifting implies thattilde-abstractions can only occur in function positions oftildeapplications, and that no other terms can occur in these positions.From theCambridge English Corpus
The dimensionless system of governing equations is then as follows (dropping tildes for notational convenience).From theCambridge English Corpus
Atildeindicates that a symbol refers to a market variable.From theCambridge English Corpus
We do this with the long and thetildeshort parts.From theCambridge English Corpus
Thetildewill be omitted subsequently.From theCambridge English Corpus
The (uncertain) voice effect of the plica has been transcribed as atilde() after the note, one line higher for plica ascendens and one lower for plica descendens.From theCambridge English Corpus
Since the purpose of this section is to justify - passing between these systems, let us be pedantic with notation, using tildes and bars to - indicate where the various objects belong.From theCambridge English Corpus
Thetildeis, however, dropped for convenience.From theCambridge English Corpus
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