Mathematical English Usage - a Dictionary

by Jerzy Trzeciak


[see also: decrease, diminish, reduce] The importance of these examples lay not only in lowering the dimension of known counterexamples, but also in...... [Note that the past tense of lie is lay, not “lied''.]

The lower limit is defined analogously: simply interchange sup and inf in (1).

The reader may wonder why we have apparently ignored the possibility of obtaining a better lower bound by considering......

a path obtained by going from A to B along the lower half of the circle

a lower semicontinuous function

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