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madvoid

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Imagine you're a 16th century Italian mathematician who is trying to solve cubic equations. You notice that when you try to solve some equations, you end up with a sqrt(-1) in your work. If you're Cardano, you call those terms "irreducible" and forget about them. If you're Bombelli, you realize that if you continue working at the equation while assuming sqrt(-1) is a distinct mathematical entity, you can find the real roots of cubic equations.

So I would say that it's less that "Complex numbers were invented so that we can take square roots of negative numbers", and more "Assuming that sqrt(-1) is a mathematical entity lets us solve certain cubic equations, and that's useful and interesting". Eventually, people just called sqrt(-1) "i", and then invented/discovered a lot of other math.

Source: http://fermatslasttheorem.blogspot.com/2006/12/bombelli-and-...

Amen. Due to reliability and lack of updates I don't use it anymore but Nintype was by far the best mobile typing experience I've had.

Recently switched from a Kindle to a Kobo and here are my findings so far:

Kobo Pros:

* Natively handle .epub files

* Overdrive integration for library books

* Dropbox integration so it's quick to transfer files from my laptop

* Pocket integration. Being able to read long form web articles on an e-ink screen is a game changer for me.

* OS is generally better

* Minor, but I like seeing the book I'm reading on the sleep screen

Kobo cons:

* Buttons are slightly worse than the Kindle's

* For the Sage, the battery life is worse than the Kindle. I've heard the other models are better though.

I just tried this. On iOS 11 on my iPad, putting the wrong finger three times in a row prompts for a passcode, but, you can hit cancel and then use a correct finger and it will still unlock. So I don’t know if that helps you because it doesn’t require a password after three incorrect tries, just prompts you for one.

I'm slightly digressing, but I always thought it was interesting how the printed circuit board software Eagle was a combination of a graphical and text based tool. You can use the buttons like any other CAD program or you can enter commands into a limited command line. I like that UI but I've not seen other programs like it.