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Computing and applying the exponential or other functions of operators with variable coefficients in the usual manner requires evaluating dense matrices and is highly inefficient.
The integer shifts of the refinable functions form a Riesz basis of their span and the corresponding univariate wavelets can be constructed in the usual manner.
In the usual manner, talk, talk, talk.
As such, the cracked beam can be treated in the usual manner as a continuous beam.
Initially it responded in the usual manner: by blaming foreigners and discrediting protesters.
The music desk maestros will reward the best comment in the usual manner.
The front wheels act as twin rudders; the steering wheel is used in the usual manner.
Last fall, he & the other co-chairman, Mary Luschen, from Nebraska, began collection in the usual manner.
He didn't wait long, though he didn't announce his retirement in the usual manner.
The government quelled it in the usual manner, rounding up the ringleaders and promising the others more money.
Ms. Rabe's Portia is, as she must be, the moral lodestone of the play, but not in the usual manner.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com