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The use of color to impart additional semantics in mathematical equations, at least to this degree, is not something I have considered before. This is going to

The use of color to impart additional semantics in mathematical equations, at least to this degree, is not something I have considered before. This is going to change a lot in how I communicate with math.

cjhveal 6y ago
It reminds me of Byrne's Edition of Euclid's Elements, which you might also be interested in checking out. https://www.c82.net/euclid/ https://www.c82.net/euclid/
cinntaile 6y ago
Try to keep in mind to use colors that work for colorblind people as well, otherwise they will not see the nuances that you are trying to convey.
The_rationalist 6y ago
Yes, this is a breakthrough in math explanations!
djmips 6y ago
Kind of like Stuart Riffle's colorized Fourier Transform. (version here -> https://blog.revolutionanalytics.com/2014/01/the-fourier-transform-explained-in-one-sentence.html https://blog.revolutionanalytics.com/2014/01/the-fourier-tra...) archived with artifacts here -> https://web.archive.org/web/20120418231513/http://www.altdevblogaday.com/2011/05/17/understanding-the-fourier-transform/ https://web.archive.org/web/20120418231513/http://www.altdev...
gwern 6y ago
It's a great idea, but it adds on more work and it's often not clear how to do it. (I'm still not sure how to do it in Pandoc Markdown.) Anyway, more examples: https://twitter.com/gwern/status/1251320700608143360 https://twitter.com/gwern/status/1251320700608143360
deleted 6y ago
[deleted]
joseluis 6y ago
The use of color is indeed fantastic. Except for choosing a black background for the graphs. I wanted to print the webpage wihtout wasting so much ink. And a white background improves readability too. For that I needed to learn how to manipulate the image in order to invert only the greys without altering the rest of the colors. It actually was pretty easy with Gimp (duplicate layer, choose mode: HSL Color for the upper layer, invert colors for the lower layer).

cjhveal 6y ago

It reminds me of Byrne's Edition of Euclid's Elements, which you might also be interested in checking out. https://www.c82.net/euclid/ https://www.c82.net/euclid/

cinntaile 6y ago

Try to keep in mind to use colors that work for colorblind people as well, otherwise they will not see the nuances that you are trying to convey.

The_rationalist 6y ago

Yes, this is a breakthrough in math explanations!

djmips 6y ago

Kind of like Stuart Riffle's colorized Fourier Transform. (version here -> https://blog.revolutionanalytics.com/2014/01/the-fourier-transform-explained-in-one-sentence.html https://blog.revolutionanalytics.com/2014/01/the-fourier-tra...) archived with artifacts here -> https://web.archive.org/web/20120418231513/http://www.altdevblogaday.com/2011/05/17/understanding-the-fourier-transform/ https://web.archive.org/web/20120418231513/http://www.altdev...

gwern 6y ago

It's a great idea, but it adds on more work and it's often not clear how to do it. (I'm still not sure how to do it in Pandoc Markdown.) Anyway, more examples: https://twitter.com/gwern/status/1251320700608143360 https://twitter.com/gwern/status/1251320700608143360

deleted 6y ago

[deleted]

joseluis 6y ago

The use of color is indeed fantastic. Except for choosing a black background for the graphs. I wanted to print the webpage wihtout wasting so much ink. And a white background improves readability too. For that I needed to learn how to manipulate the image in order to invert only the greys without altering the rest of the colors. It actually was pretty easy with Gimp (duplicate layer, choose mode: HSL Color for the upper layer, invert colors for the lower layer).