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We compare the results of the fixed-flavor scheme calculation of Laenen,Riemersma, Smith and van Neerven with the variable-flavor scheme calculation ofAivazis, Collins, Olness and Tung for the case of neutral-current(photon-mediated) heavy-flavor (charm and bottom) production. Specifically, weexamine the features of both calculations throughout phase space and comparethe structure function $F_2(x,Q^2)$. We also analyze the dependence of $F_2$ onthe mass factorization scale $\mu$. We find that the former is most applicablenear threshold, while the latter works well for asymptotic $Q^2$. The validityof each calculation in the intermediate region is dependent upon the $x$ and$Q^2$ values chosen.Comment: LaTeX format, 19 pages, 20 figures in uuencoded format. Postscript  file available at ftp://smuphy.physics.smu.edu/usr/ftpdir/pub/paper

Leptoproduction of heavy quarks in the fixed and variable flavor schemes