All 7 Uses

notwithstanding
in
The Mayor of Casterbridge
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Notwithstanding an occasional odd gravity which awoke their sense of the ludicrous for the moment, they began to view him through a golden haze which the tone of his mind seemed to raise around him.†
Chpt 8 *
He turned to her with congratulatory admiration so fervid that she shrank somewhat, notwithstanding that she knew him so well.†
Chpt 25
But I beg your pardon notwithstanding.†
Chpt 27
During those moments Henchard had determined to follow up Lucetta notwithstanding her elusiveness, and he knocked for admission.†
Chpt 27
Newson, like a good many rovers and sojourners among strange men and strange moralities, failed to perceive the enormity of Henchard's crime, notwithstanding that he himself had been the chief sufferer therefrom.†
Chpt 43
The gaiety jarred upon Henchard's spirits; and he could not quite understand why Farfrae, a much-sobered man, and a widower, who had had his trials, should have cared for it all, notwithstanding the fact that he was quite a young man still, and quickly kindled to enthusiasm by dance and song.†
Chpt 44
The contiguity of salt water proved to be such a necessity of his existence that he preferred Budmouth as a place of residence, notwithstanding the society of his daughter in the other town.†
Chpt 45

Definitions:

(1) (notwithstanding)
used to show that something remains true even though something else seems to go against it

Most commonly, you can substitute "in spite of" for notwithstanding. But see the first exemplary sample sentences for other common word substitutions.
(2) (meaning too rare to warrant focus)