This immediately rules out the use of | and \| for delimiters, because left and right delimiters are distinct usages that do not relate in the same way to adjacent symbols recommended practice is therefore to define suitable commands in the document preamble for any paired-delimiter use of vert bar symbols: \providecommand to produce ∥v∥. It is recommended therefore that there should be a one-to-one correspondence in any given document between the vert bar character | and a selected mathematical notation, and similarly for the double-bar command \|. The multiplicity of uses in itself is not so bad what is bad, however, is that fact that not all of the uses take the same typographical treatment, and that the complex discriminatory powers of a knowledgeable reader cannot be replicated in computer processing of mathematical documents. This character is currently used in LaTeX documents to represent a wide variety of mathematical objects. Introduction 9.1 Null and Alternative Hypotheses 9.2 Outcomes and the Type I and Type II Errors 9.3 Distribution Needed for Hypothesis Testing 9.4 Rare Events, the Sample, Decision and Conclusion 9.5 Additional Information and Full Hypothesis Test Examples 9. The amsmath package provides commands \lvert, \rvert, \lVert, \rVert (compare \langle, \rangle) to address the problem of overloading for the vert bar character |. Let me quote from the guide to the amsmath package (the document known as amsldoc), section 4.14.2 Vertical bar notations: This is similar in spirit to qbi's answer.
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