Unlike the center environment, the \centering command does not start a new paragraph; it simply changes how LaTeX formats paragraph units. To affect a paragraph unit's format, the scope of the declaration must contain the blank line or \end command (of an environment like quote) that ends the paragraph unit.
For example,
\section{\protect \centering Centered section heading}
See also Center environment
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Revised by Sheldon Green, agxsg@giss.nasa.gov, 26 Oct 1995.