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As @Dave L Renfro noticed, the distinction between series and sequence is not old, and it was possible for the same author to use the two terms with different meanings (also in the same article). Consider e.g. Gauss's Theoria Residuorum Biquadraticorum Commentatio Prima & Commentatio Secunda, we have some examples: article 5 cunctos numeros $1, 2, 3 \...


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Todd and Alexandre, I just want to offer a perspective to your discussion from a German language point of view. I wanted to put it as a comment, but it was getting too long so I am putting it as an answer (recognizing it does not exactly answer your question). But just wanted to offer an additional perspective. If you translate sheaf-stalk-germ into German, ...


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