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What is a necessary and sufficient condition?
The difference between a sufficient condition and a necessary condition is that:

First of all, if A can deduce B, then A is a sufficient condition for B. ..

Second, without a, there must be no b; If there is a but not necessarily B, then A is a necessary condition for B. Mathematically, if condition A can be derived from result B, we say that A is a necessary condition for B. ..

If A is a sufficient condition for B, then what belongs to A must belong to B, and what belongs to B does not necessarily belong to A. Specifically, if an element belongs to B but not to A, then A is the proper subset of B; If what belongs to B also belongs to A, A and B are equal.

Extended data:

What is a necessary and sufficient condition:

Suppose a is a condition and b is a conclusion.

(1) If B can be deduced from A and A can be deduced from B, then A is the necessary and sufficient condition of B (), or A is the necessary and sufficient condition of B.

(2) A is a necessary and sufficient condition for B. If B can be deduced from A, A cannot be deduced from B ()

(3) If B cannot be derived from A and A can be derived from B, then A is a necessary and sufficient condition for B ()

(4) If B cannot be deduced from A and A cannot be deduced from B, then A is neither sufficient nor necessary ()

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