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Put dκ(P1,P2) = c log fκ(P1,P2), where c is an arbitrary real-valued constant, different from 0, and log x denotes the principal value of the natural logarithm of x.
The principal value of the independent organizations is their independence.
And how much will the principal value be?
When the bond matures, in April 2015, the bondholder will get the principal value back.
The principal value of uranium is in the radioactive and fissionable properties of its isotopes.
This undercut the principal value of the aid -- giving political cover to those who advocated a divorce from the paramilitaries.
The principal value of intelligent meters lies in their ability to help electricity suppliers manage demand – downward and upward.
As interest rates have risen, those investors have seen the principal value of their bonds fall about 8percentt.
Every six months, the holder of a $100 bond will get one-quarter of 1 percent of whatever the principal value is at that point.
Other examples might be cited, but the principal value of such control methods lies in using less insecticide and thus contributing to maintenance of a good environment.
The tax now stands at 10% of the principal value, and many investors were so keen to leave that they were willing to pay it.
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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