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accepted aleph algebra Appendix argument Assume boldface bought yesterday calculus book cardinal number changed a lot comma compositor computation consider Contrapositively conventions copy editor countable countably infinite Curriculum vitae defines DEFINITION denote the cardinal differentiable function displayed double space English enjoy mathematics example explained the proof expository expressions f is continuous figure follows formula G is abelian galley proofs galleys Greek letters hard to read Hence Here's the calculus hyphen hypothesis idea indices integers italic journal editor Keep Kunugui linearly linearly independent MAA journals margin marked mathematician mean Mean-Value Theorem motivation name e.g. notation occurrence odyssey paper printed printer quotes reader refer referees result REVISE Rolle's Theorem script Section sending sentence separate sheet sequence shows Simplify the mathematical spurious contradiction standard style Submit sure theorem before proving tion tors uncountable set underline UNIVERSITY OF MICHIGAN verb vitae writing