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There is another basis to be lenient, for in our times [a non-observant Jew] is not called a public desecrator of Shabbat, since most act that way.
He has called for a review of old cases where according to either the existing record, new evidence, or other grounds indicate that there's a question regarding guilt and innocence and/or another basis to call into question whether a conviction is accurate.
In principle, one could choose another basis to decompose the spontaneous activity, but it would not be adequate in the sense that it would not make the relationship between the basis and the network architecture explicit, as it is the case with the basis of principal components.
The objective was to achieve a situation where sufficient finances are available either on a government budget, or on another basis, to support the programme.
Consequently, emergent behavior may be observed in artificial electrical random networks of mixed resistive and reactive entities, thereby providing another basis to explain the occurrence of emergent behavior within the plasmodium.
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A way of recalculating the data from one basis to another one is also shown.
In judge-only libel trials, cases are allowed to shift from one basis to another.
Equation 6 of § 63.2262 j) shows how to convert from one thickness basis to another.
If the limits are absolute, then merely switching the activity from one dependency basis to another is simply insufficient, especially if such dependency continues to expand overall.
The most important advantage of having (mathbf {D}) explicitly is that there is no need to go from one basis to another (normally monomial) to differentiate a polynomial in a given basis.
Is it possible to use another: modern and scientific basis to alter future circumstances (working and rehearsing on a conceptual level) that can be connected to our current level of knowledge, comply with modern standards of legitimacy and justification (whether educational, normative, scientific, with criteria such as verifiability, validity etc).
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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