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However, if you have huge files, this can consume an unbounded amount of memory.
It is not that I have to compare sides in order to ascertain the size of an angle, but rather that our conception of an angle entails the notion of a space contained, as it were, between two lines that meet at a point and we cannot 'think' of a 'mere angle' in the sense of an unbounded spatial quantity.
For example, a geometric mean (corresponding to a logarithmic distance metric) is more appropriate for strictly positive but otherwise unbounded quantities.
At this time, the concept of decidability at issue was that of effective decidability in principle – i.e. decidability by a rule governed method (or effective procedure) each of whose basic steps can be individually carried out by a finitary mathematical agent but whose execution may require an unbounded number of steps or quantity of memory space.
He was a man of strong principles and integrity and had an unbounded capacity for empathy.
For a less gifted mind, such an unbounded menu of sound could so easily produce chaos.
For new-music partisans, at least, the development has been an unbounded cornucopia.
One painting of drunken revelry reveals that even then, writers on occasion had an unbounded thirst.
What we saw was merely the tiny tip of an unbounded peril of gigantic proportions.
A spider's — or a painter's — fleeting stab at perfection is a negligible stitch in an unbounded fabric.
He shows that an outer billiards system can have an unbounded orbit when defined relative to any irrational kite.
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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