Introductory analytic geometry and calculus. Topics include limits, continuity, differential calculus of algebraic and trigonometric functions with applications to curve sketching, optimization ...

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PROF. HODGE's work on this subject has long been awaited by his colleagues, and will be generally welcomed by them, though perhaps with mixed feelings when its difficulty is encountered. His lectures ...

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The origin of life required the emergence of metabolism, an autocatalytic network of enzymatic reactions that synthesize amino acids, nucleotides, and cofactors. At the origin of metabolism, there ...

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1) before singular nouns that we have already mentioned with a/an: We saw an elephant. The elephant was standing under some trees. 2) before singular, plural or uncountable nouns when we say exactly ...