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We next prove a weak convergence theorem under difference condition on data.
Now, we prove a weak convergence theorem for the algorithm (4.13) below under different condition on data.
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We first present a rich language for the definition of schema mappings, which allow one to use various forms of document navigation and specify conditions on data values.
In this section, we derive conditions on data such that the blow-up phenomenon cannot occur.
In particular, we give conditions on data functions under which stationary solutions exist.
The draft rules "imposed broad legal conditions" on data access and use, and "only allowed limited access to clinical trial data by redacting significant information," O'Reilly says.
In Section 2 we obtain a lower bound for t ∗ under the hypothesis of convexity of Ω and suitable conditions on data and time dependent coefficients.
They established conditions on data sufficient to preclude blow-up and to ensure that the solution and its spatial gradient decay exponentially for all (t>0).
By means of the differential inequality technique, they set up conditions on data to guarantee that (u x,t)) blows up at some finite time.
Specifically, conditions on data are introduced to avoid the blow-up of the solution and, when the blow-up occurs, explicit lower and upper bounds of blow-up time are derived.
One of the advantages of multifractals is that they require fewer conditions on data than more classical statistics such as autocorrelation and variograms.
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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