4 ms·

How would this help you? Now these explanations are just in the paragraph next to the equation and are not limited to 3 words.

by quazar 5y ago

DonaldPShimoda 5y ago
> Now these explanations are just in the paragraph next to the equation and are not limited to 3 words. Not necessarily. Will Crichton, a PhD student at Stanford University, has been working on a tool called Nota [0] that he's hoping might serve as a platform for online paper publication. I'd suggest checking out the initial presentation of Nota [1] to see some ideas of how syntax highlighting-type effects can be made as toggle-able capabilities that are not intrusive nor dislocated as you suggest. [0] https://nota-lang.org https://nota-lang.org [1] https://willcrichton.net/nota/ https://willcrichton.net/nota/
nitrogen 5y ago
It activates more information channels into my brain. Prose is just one transfer channel, and for me, not a very efficient one (though I love reading!). Mathematical notation is one more. But that leaves out word association, color, spatial relationships, conceptual graphs, diagrams, etc. The more channels I can activate, the faster I can build intuition, and intuition facilitates practical application. Here's an example of how I like to use color from my own modest work: https://youtu.be/iyjIVSnrPSo?t=424 https://youtu.be/iyjIVSnrPSo?t=424 Another example: https://youtu.be/iyjIVSnrPSo?t=345 https://youtu.be/iyjIVSnrPSo?t=345 In this case, each independent variable in the equation gets its own color, and that color corresponds to a label on the graph above. The imaginary unit also gets a special color, which matches the color of its definition, for those of my audience who are unfamiliar with or out of practice with complex numbers. And the syntactic elements are muted to make the shape of the equation "pop" for those whose eyes are not routinely trained to read math notation. Elsewhere in the video I use different colors to represent positive, negative, and zero frequencies. So to restate, it's all about giving information as many paths into my brain as possible.

How would this help you? Now these explanations are just in the paragraph next to the equation and are not limited to 3 words.

by quazar 5y ago

How would this help you? Now these explanations are just in the paragraph next to the equation and are not limited to 3 words.

DonaldPShimoda 5y ago

> Now these explanations are just in the paragraph next to the equation and are not limited to 3 words. Not necessarily. Will Crichton, a PhD student at Stanford University, has been working on a tool called Nota [0] that he's hoping might serve as a platform for online paper publication. I'd suggest checking out the initial presentation of Nota [1] to see some ideas of how syntax highlighting-type effects can be made as toggle-able capabilities that are not intrusive nor dislocated as you suggest. [0] https://nota-lang.org https://nota-lang.org [1] https://willcrichton.net/nota/ https://willcrichton.net/nota/

nitrogen 5y ago

It activates more information channels into my brain. Prose is just one transfer channel, and for me, not a very efficient one (though I love reading!). Mathematical notation is one more. But that leaves out word association, color, spatial relationships, conceptual graphs, diagrams, etc. The more channels I can activate, the faster I can build intuition, and intuition facilitates practical application. Here's an example of how I like to use color from my own modest work: https://youtu.be/iyjIVSnrPSo?t=424 https://youtu.be/iyjIVSnrPSo?t=424 Another example: https://youtu.be/iyjIVSnrPSo?t=345 https://youtu.be/iyjIVSnrPSo?t=345 In this case, each independent variable in the equation gets its own color, and that color corresponds to a label on the graph above. The imaginary unit also gets a special color, which matches the color of its definition, for those of my audience who are unfamiliar with or out of practice with complex numbers. And the syntactic elements are muted to make the shape of the equation "pop" for those whose eyes are not routinely trained to read math notation. Elsewhere in the video I use different colors to represent positive, negative, and zero frequencies. So to restate, it's all about giving information as many paths into my brain as possible.