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esp32 already exists, so there's a hardware alternative. What's the primary issue -- is it the lack of competition to the Arduino IDE? I have dabbled in Arduino but don't know enough to understand, but my impression was on the hardware side there are already alternatives that are better.

Obviously not discounting what a huge blow this is (and right when I was planning to explore Arduino more), but practically speaking, what can we do to help?


I think this is a reasonable expectation. I'm writing about the dot product and there is a geometric visualization for dot products, so it's fair to expect that. As I said in this comment (https://news.ycombinator.com/item?id=45802969) I focused on teaching the reader the bare minimum they would need to know to get to matrix multiplication.

I use illustrations for a lot of other things though. I use them to pace my posts, to call out things that are especially important, to reinforce written ideas with images, and to give the reader's eye a place to rest.

If you are looking for graphs, this video about the dot product from 3B1B may be more your speed: https://www.youtube.com/watch?v=LyGKycYT2v0


Hey everyone, I'm the author. I'm seeing a lot of the same comments here, so I want to address them.

I teach math by leading with examples. I try to show the intuition behind an idea, and why it is interesting. For this series, my reader is someone who knows algebra, and likes learning new things, especially when a teacher shows what is interesting about a topic.

## You didn't cover x about the dot product.

I try to only teach as much as is necessary to get the student to the next point, which is matrix multiplication. I usually end up cutting a lot of material out of my chapters to keep them simple. In this case, I cut out a whole section on the properties of a dot product, as well as a discussion about inner and outer products, because those weren't necessary to get to matrix multiplication. I think this context was lost while posting to HN.

## 3B1B already has a series on this.

I love 3B1B, but his style of teaching and mine are quite different. Even though we both teach visually, his videos are densely packed with information and his expectation is that you will watch the video a few times till you understand the topic. He also leads with math more than I do. My posts are written more like stories. My goal is they should be easy to get into, and by the time you have finished reading, you should understand more about the topic. I don't expect readers to read through multiple times. I personally learned linear algebra through Strang's videos and textbook, and those videos are awesome, but can be confusing. If you found the Strang or 3b1b videos confusing, hopefully my posts will make it easier for you to follow them. I think comment is spot on: https://news.ycombinator.com/item?id=45800657

If these ideas resonate with you, I think you'll like this post, and if not, there are plenty of guides that go the more traditional route. You can also read the first post in the series and see if you like it: https://www.ducktyped.org/p/an-illustrated-introduction-to-l...

For another example of my writing, see my series on AWS: https://www.ducktyped.org/p/a-mini-book-on-aws-networking-in...


> I teach math by leading with examples

This the only way to teach to humans.

Any time linear algebra comes up, I make it a point to drop Pavel's videos: https://www.youtube.com/playlist?list=PLlXfTHzgMRUKXD88IdzS1....


I try to only teach as much as is necessary to get the student to the next point, which is matrix multiplication

Preemptively noting: this is also Strang's strategy.


Yes, but if you decide to leave your job during the shutdown (say to find more stable work), you do not get paid for the unpaid hours you worked.

And as others are saying, plenty of people can't afford to work for no pay indefinitely.


Of course they can. A bank would have no problems giving out loans given the pay is coming eventually.


I hope these hypothetical banks will also be giving these theoretical indefinite loans interest free.


Citation? Who is giving unsecured pay day loans on unknown payday? If they did what would the interest be? 1000%?


>Citation? Who is giving unsecured pay day loans on unknown payday? If they did what would the interest be? 1000%?

I'm not a Federal employee and I don't know the details, but there's a banner on my bank's (Chase) website (after you log in) suggesting that they have mechanisms to assist those who aren't getting paid.

What those are, I have no idea. It may well be high interest loans or no interest loans. Or it may waive fees on overdrafts. Again, I don't know. But banks are taking note and communicating with their customers about it.


I see. I imagine its good PR like that cafe giving free lunches in DC.


I worked at a payroll backed loan company and can say there is not many people in the space, for many good reasons.

These banks do not exist.


Everyone is different! I personally find examples and visuals a very important part of teaching.

> But in recent years

Just to expand on this a bit: I have been teaching this way since at least 2016, when I published a book on algorithms called Grokking Algorithms. It is an illustrated guide to algorithms. If you didn't like this post, I imagine you won't like the book either :)

Here is an interview I did with Corey Quinn where I talk more about my teaching philosophy: https://www.youtube.com/watch?v=lZFvTTgR-V4


That's quite the list! How does this one compare? Anything you think is missing?


https://www.math.ucdavis.edu/~linear/ (authors David Cherney, Tom Denton, Rohit Thomas and Andrew Waldron) - reminds me of category theory articles, so good.


Agreed, I need to make this part less confusing


Good idea! I'll probably do one on calc shortly, since I want to build up to ML.


Coming soon! I about a month or so


3B1B's videos are incredible. His LA videos go a bit too quick for me though, which is why I started writing this series.


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