necessary and sufficient condition in English

condition that without which nothing will happen and upon whose fulfillment there is no need for any other conditions (Logic)

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Below are sample sentences containing the word "necessary and sufficient condition" from the English Dictionary. We can refer to these sentence patterns for sentences in case of finding sample sentences with the word "necessary and sufficient condition", or refer to the context using the word "necessary and sufficient condition" in the English Dictionary.

1. In this paper, we give a necessary and sufficient condition for two graphs H and G in Fi to be Adjointly equivalent, where i=1,2

2. The analytical Marxist John Roemer challenges what he calls the "fundamental Marxian theorem" (after Michio Morishima) that the existence of surplus labour is the necessary and sufficient condition for profits.