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Mathematical analysis

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If a set has a maximum, then that maximum is equal to the supremum.

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Every bounded set of real numbers has both a maximum and a minimum.

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If a set is bounded below, then it has an infimum.

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What is the minimum?

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An upper bound of a set always belongs to the set.

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What is the maximum?

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What is the infimum?

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What is the supremum?

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