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Definition: Minimum (Real Numbers)

Let \(D\) be a non-empty subset of real numbers. The real number \(M\), denoted by \(\min(D)\), is called the minimum of $D$ if and only if

• $M$ is a infimum of $D$, and
• $M\in D$.

Mentioned in:

Proofs: 1 2 3 4 5 6 7 8 9 10 11
Propositions: 12 13
Theorems: 14 15

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References

Bibliography

1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983