2,455 karma · joined April 1, 2007
I wanted a quick, shareable "back of the envelope" tool.
I was using that for a bit, but typing in another language was enough friction (vs. speaking) that I didn't use it that much.
For this, audio is perfect -- all I need is the gentle reminders about what to fix, and why. GPT could probably have a parenthetical part in the official transcript too.
Anyway, hope that helps give context.
I noticed the transcription APIs clean up my mistakes (which is good for the transcript) but I wonder if there is a way to show the raw and corrected transcript to help guide corrections? Either way, it's already useful as is, looking forward to using it more.
When we say someone has a 6 figure salary, we are counting how many 0’s (10s) to takes to get there.
For memory, we say something has 32 bits and can have 2^32 possible values. It’s more graspable to talk about the “address size” vs the “number of possible values”, especially for things that grow fast (like storage).
I’d suggest starting with your intuitions and slowly translating them to math.
(Without being a shill, I wrote about real world logs here, it may help: https://betterexplained.com/articles/using-logs-in-the-real-...)
y'(t) = income
y''(t) = raises
https://betterexplained.com/articles/intuitive-understanding...
Ultimately, we're making a prediction: my life is guaranteed to be worse off because my muscle was recently torn. Is this true?
Imagine you wake up and your back is sore. Getting out of bed is a struggle, everything aches and you must move slowly.
Without other knowledge, you may get worried, anxious, feel distressed.
If you remember you had a workout yesterday, you may actually enjoy the feeling. It reminds you of the effort you put in, the future progress you’ll make as muscles are repaired.
The physical sensation is exactly the same.
https://betterexplained.com/articles/colorized-math-equation...
If you hover any diagram, there are options for a colorblind-friendly version.
For example, an approximation of e would be (1 + .01)^100, where the 100% interest had been chopped into 100 separate segments of 1%.
For each symbol, I try to make an analogy. For "e", for example, I have the notion of "continuous growth". The formal definition is this:
https://betterexplained.com/ColorizedMath/content/img/E_(mat...
"The base for continuous growth is the unit quantity earning unit interest for unit time."
Once you see the role of each part of the definition, the idea snaps into place. I just wrote about it here: https://betterexplained.com/articles/colorized-math-equation...
Hope that helps!
Breaking the loop of "negative" physical sensation -> negative emotion/thought is freeing. Feeling tightness in your chest does not require you to become afraid, it just means you are feeling tightness in your chest. But typically we have years of stimulus/response conditioning so we jump to the negative thought / emotion once the sensation arises.
I meditate 10-30 minutes ~5x a week, usually breath counting or doing the above. I found Noah Elkrief's videos helpful.