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Exact(8)
Finally, an axiom or transformation rule is independent (in a given axiomatic system) if it cannot be derived from the remainder of the axiomatic basis (or which comes to the same thing if its omission from the basis would make the derivation of certain theorems impossible).
These assumptions are just to make the derivation easy to follow.
Here, we ignore the influence of the error e t,l) to make the derivation in the following sample.
To make the derivation of the probability of error easier, we can refer to the so-called sign-adjusted decision variables [10] defined as follows: and.
The random sizes of the subvectors that are associated with the random parameter make the derivation of the CRLBs for all estimates very complicated.
A sharing parameter that varies across both i and j would break this useful separation and make the derivation of both optimal deployment and the implications of mismatch much less clear.
Similar(52)
In short, mathematics is useful, not because it allows you to derive conclusions that you couldn't have derived from nominalistically respectable premises alone, but rather because it makes the derivation of those (nominalistically respectable) conclusions easier than it might otherwise have been.
This dependence makes the derivation of the first and the second moments of ε F ( τ ̂ ML, γ ̂ ML ) analytically intractable.
In the case of compressible solvers, the use of high-order numerical schemes combined with complicated governing equations makes the derivation of efficient procedures a challenging and often tedious undertaking.
This visual framing makes the derivation of policy lessons easier.
The use of embryos for research is heavily restricted in Germany under the Embryo Protection Act of 1990 (Section 2), which makes the derivation of embryonic stem cell lines a criminal offence.
Related(20)
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make the determination
make the arithmetic
make the compilation
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make the calculation
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check the derivation
make the computing
permit the derivation
make the spinoff
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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