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| Absolute value of a real number
The absolute value of a real number n, , is defined as
| Absolute value of a complex number
The absolute value of a complex number is defined as
The definition may also be extended to vectors, where absolute value is often times called "magnitude".
| Magnitude of a vector
The magnitude of a vector is defined as
Notice that magnitude is sometimes denoted with a double stroke absolute value
The absolute value signs are also used in set theory to indicate a cardinality, or set size. The operation measures the magnitude of a set, or in other words, the operation counts the number of elements a set contains.
| Cardinality of a set
The cardinality of a set containing seven elements is defined as