\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2015a.00638}
\itemau{Coll, Vincent; Qirjollari, Maria}
\itemti{Characterizing power functions by hypervolumes of revolution.}
\itemso{Math. Mag. 87, No. 3, 225-227 (2014).}
\itemab
Summary: A power function is characterized by a certain constant volume ratio associated with the surface of revolution generated by the graph of the function. We generalize this characterization to include hypersurfaces of revolution and find that power functions are similarly identified bythe analogous ratio of hypervolumes of revolution. We write this ratio as an explicit function of the exponent of the power function and the dimension of the hypersurface.
\itemrv{~}
\itemcc{G95 I25}
\itemut{power functions; hypervolumes of revolution; hypersurface of revolution}
\itemli{doi:10.4169/math.mag.87.3.225}
\end