Irrespective of, regardless of, in spite of(adverb)
It doesn't matter, it's unimportant, it doesn't make any difference(adverb)
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Use "no matter" in a sentence
"Cavorting with a potential witness, victim, or suspect was bad business, no matter what the cost of survival."
"Most of its essential features can well be reatined and will prove advantageous no matter what new branches of study or methods of teaching are introduced."
"But the bruise-blue Rothmans and primrose Wisdens always survive the cull and always will no matter how comprehensive the web's wonderful statistical databases become."