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Extra info for Mathematical English Usage. A Dictionary by Jerzy Trzeciak

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Convergence Moreover, one has estimates on the rate at which this convergence is taking place. • Addressing this issue requires using the convergence properties of Fourier series. • The convergence of the sum on the left is of course a weaker statement than the convergence of (2). • We give X the topology of uniform convergence on compact subsets of A. • Almost everywhere convergence is the best we can hope for. converse [of sth; to sth; see also: inverse, opposite, reverse] In this section we investigate under what conditions the converse holds.

44 JERZY TRZECIAK dispense [with sth; see also: remove, drop, delete, omit] The following example shows that condition (2) cannot generally be dispensed with if V is to be continuous. [= cannot be discarded] display [see also: demonstrate, exhibit, show, indicate] Iterated correspondences display many of the features of..... • Table 1 displays the median quantile of the number of misclassified tumor samples for each classifier. • the second displayed equation of the proof disprove The conjecture will be disproved by exhibiting.....

Declare We partially order M by declaring X < Y to mean that..... decline 1 [see also: decrease] We observe the decline in the number of unemployed. 2 [see also: decrease, diminish] The number of full-time staff has declined from 300 to just 50. decompose [into sth; see also: split] If H is decomposed in the form H =..... • Then F can be decomposed according to the eigenspaces of P . • Note that X decomposes into a direct sum of 2-planes. decomposition a decomposition of X into irreducible components decrease 1 [see also: decline] There is also a decrease in clustering as n increases, particularly for normally distributed X.

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