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Closely related axiomatic derivations of image processing operators based on scale invariance have also been given in the earlier Japanese literature (Iijima 1962; Weickert et al. 1999).
Similarly, when a philosopher (or scientist) wonders whether a specific assumption or a particular choice of a parameter value is necessary, the device of axiomatization helps to resolve the question; given an axiomatic presentation, one can explore whether every derivation using the assumption can be transformed into one without.
It also provides a method of deriving from these inference forms valid proposition forms, and in this way it is analogous to the derivation of theorems in an axiomatic system.
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).
Axiomatic, even.
It's axiomatic.
That's axiomatic.
Axiomatic by Maria Tumarkin.
Their innocence is axiomatic.
In Axiomatic (Harper Prism, December 1997).
Axiomatic, first three pages.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com