Calculus is a mathematical model of the world, and it is wrong in the sense of the famous quote about "all models [being] wrong, but some are useful", so mathematicians used the imaginary unit almost like a hotfix for their model.
Whether that's an accurate/rigorous statement or not, it helped me as a learner.
You can, of course, express things like oscillation without i, using vectors and matrices. But the ability to use Euler's formula to express complicated sinusoids as compact exponentials with base e simply makes the analysis much easier. In the words of my prof, it's merely a mathematical structure to express things more easily that "regular calculus" isn't good at expressing.
To me, that made the apparent paradoxes of expressing e.g. phase angles and reactive power and stuff using i a lot easier to stomach.
I mean the guy has a PhD in mathematics so I'm sure he understands his tools deeply. Certainly more deeply than I did when I was an undergraduate in his class. Sometimes the right analogy, even if imperfect, is more helpful to build intuition than pages of rigorous proofs. Chill out.
I’m not sure why you feel the need to keep arguing about this. I’m not going to go back to my Alma Mater and tell the prof that some nobody on hacker news doesn’t like an analogy he used 12 years ago.
Whatever point you’re trying to make is not working.
Im sorry if I come across as aggressive, Im myself chill and just here to talk, share and discover new things. Analogies are essential to learning I agree with you
I don't disagree, but having remote monitoring capabilities on a professional fridge is most likely not a hipster feature. Even mid-size supermarkets have dozens of them, with different temperature settings; they can fail, customers can block the doors, etc. You do want to receive an alert when something is wrong.
Not even that, it's Bluetooth so what it lets you do is turn on/off the fume hood from the other room, if you download Samsung's surveillance capitalism app.
These are industrial fridges, the ones almost the size of a shipping container that you find in major supermarkets. But I agree with you that 'smart' home IoT is a shitshow.
Honestly I like smart appliances. For example, I have a home assistant integration that will sound an alarm if a stove burner is on but no person is detected in the room, and a handful of other similar safety-related conditions.
But they don't need to be cloud-connected through some big corp's cloud. I want them local and firewalled, ideally.
1. We prefer to be safe, and shut the burner off while going to take a leak. It helps that we have a several thousand watt induction stove that boils pots of water in a few minutes, so there is no real need to parallelize boiling water with bathroom breaks.
We specifically want to prevent scenarios like: you take a leak, the leak turns into a shitting session or a phone call, you forgot you left the burner on.
2. Most of the time my wife and I make food together so if one person needs to take a leak the other one is around anyway.
3. For long slow cooking, we have plenty of comfy seating in the kitchen/dining area where we can get work done while being in sight of pots.
4. We have 2 pets we'd need to locate in an emergency, and so we tend to put electrical and fire safety higher than most people.
Thinkpenguin used to sell Rosewill routers that came with a particular Linux installed, but their value add was no proprietary blobs, everything open source and FSF certified IIRC.
Pretty neat. I see the page considers there to be 5 different kinds of tools but the only ones I can find all make 2D textures/images. Are there others I just am failing to locate?
Firefox actually silently and automatically converts images to webp in some cases when you Save As them, with no option to revert to the format you see in the DOM. It’s fucking infuriating. I hate webp because the support is so spotty.
I don't think that's firefox doing it? I'd guess it's some CDNs doing the conversion. Or the URL says .jpg but when you look at the mimetype sent by the server it's actually webp. Extentions are meaningless for browsers.
This would cause the downloaded file to have incorrect file extension because such services don't configure the Content-Disposition header properly, and you still may have lots of improperly named files unless you realize that the file content doesn't match its extension.
No, the server is just sending the file named 'foo.jpg', but encoded as a webp with webp mime type, so when you save the file it defaults to the webp extension cause it ends up treating the filename as a blob of text without an expected extension for the file type.
Annoyingly, this doesn't work for a whole lot of websites that insist on serving webp, they just ignore the header. Some of them have bespoke workarounds like adding ?format=original on fandom wikis, with some the server will just never serve you anything other than webp.
The voice thing always sneaks up on me as a requirement, because I never, ever personally want to use that. I'm not saying it's not a good feature, just one that doesn't occur to me. You're probably right, though.
Discord was originally for gamers so most communities I was part of had their own voip servers.
In the 90s it was in game chat, forums, VoIP, possibly an IRC channel. That was a lot of infra to juggle and usually it wasn’t all hosted by the same person. So if xXxDarkNinja69xXx got his feelings hurt he might take down the teamspeak and then your community is up shit creek without a paddle until you can find someone else to host it.
Discord does a merely-okay job of all of that, and possibly Reddit has supplanted the forum bits that discord can’t, but it’s less overhead for the administrators of each community.
I don’t really do any gaming these days so I too don’t use the VoIP, but that was a big part of the allure when discord launched.
I really wanted to like Iggy Peck, Ada Twist, and Rosie Revere, because they promote really positive messages. But man, the verse is really clumsy and poor in some areas. Not stellar writing.
To add to your list: anything by Julia Donaldson. The Gruffalo, Super Worm, Room on the Broom, the Whale and the Snail.
Calculus is a mathematical model of the world, and it is wrong in the sense of the famous quote about "all models [being] wrong, but some are useful", so mathematicians used the imaginary unit almost like a hotfix for their model.
Whether that's an accurate/rigorous statement or not, it helped me as a learner.
You can, of course, express things like oscillation without i, using vectors and matrices. But the ability to use Euler's formula to express complicated sinusoids as compact exponentials with base e simply makes the analysis much easier. In the words of my prof, it's merely a mathematical structure to express things more easily that "regular calculus" isn't good at expressing.
To me, that made the apparent paradoxes of expressing e.g. phase angles and reactive power and stuff using i a lot easier to stomach.
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