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I would simply use the words 'Maximum' and 'Minimum'. Sample sentences referring to the x coordinate, y coordinate or both at once are given below. The curve f(x) has an absolute maximum at (x1,y1) and a local minimum at (x2,y2). The maximum value y1 is reached when x=x1. f'(x)=0 at the point (x2,y2).


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Assuming there is only one Lebesgue measure, the "the Lebesgue measure" would be correct, and you should not drop the definite article. If there are many different measures then you could say "a Lebesgue measure". In either case you shouldn't omit the article, as the mathematical sense of "measure" is countable.


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