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Note that in a real paper or textbook, such a detailed description explaining each term would most definitely be absent, even without the color coding. I disag
by bkcooper 12y ago
Note that in a real paper or textbook, such a detailed description explaining each term would most definitely be absent, even without the color coding.
I disagree. In a textbook, it is very unlikely (and would be a sign of a badly written book) that there are terms in a displayed equation that are genuinely undefined. The worst case scenario is that they are not defined immediately next to the equation and presume that you have read the preceding material.
- cjslep 12y ago> The worst case scenario is that they are not defined immediately next to the equation and presume that you have read the preceding material. The textbooks I have used written by Russian mathematicians are almost entirely equation after equation of "explanation", derived from previous equations with the exact transformations in between left as an exercise for the reader. There's a very distinct cultural difference for sure, but that doesn't make these textbooks less real. Edit, to clarify: A lot of terms are not explained in natural language either as their very definition is an equation of other terms (feel free to apply recursively).
- platz 12y agoYes that's fair - I guess I was thinking more of homework materials distributed as a part of educational content, but all good teaching should try to address this, yes.