My son just started Euclidean (planar) geometry, also known as synthetic geometry, and it's quite a departure from what I learned in high school -- analytic geometric (cartesian geometry). He's suffering through it so far but he may ditch the course and go for non-Euclidean geometry instead. Thanks for posting this. It's helpful as I'm trying to determine what's best for his desired career path.
What your son is learning (synthetic geometry) and what you learned (cartesian geometry) are essentially two ways of looking at the same stuff. One emphasises coordinates and one does not.
What the post is about (non-Euclidian geometry) is a rather different thing entirely. Its about doing geometry when the space you live on/in is curved (like doing geometry on the surface of the earth).
Thanks for the clarification. I'm taking in as many resources as I can. I'd imagine that if he goes into engineering or CS, and especially into anything having to do with 3D environments, that cartesian geometry would be more useful.
Right. My point is that you no longer have to buy a new phone every year just to get the latest Android version. The latest, similarly priced Samsung equivalent receives 4 major updates.
Long term support is still not as good as iPhones, but it's no longer the old (to quote the comment above) "Fuck you, buy a new phone", not to mention that on Android some of the new iOS features are actually delivered as normal app updates (gallery app, maps, the equivalent to webkit, etc) or backported via Google services to 4-5+ year old Android versions (eg: file sharing, earthquake warnings, covid tracking support, etc).
And even after those 5 years the phone is not a waste because most things on android are apps that update independently without an OS upgrade unlike ios where to get a new browser engine you need to upgrade the OS. Firefox supports android 5,which was released in 2014, that means a phone released in 2012 can still run the latest browser engine.
The Zestimate for my house is incredibly close, within $2k of a recent appraisal. There are a lot of comparables in the area, so they have a decent amount of data to work with.
I have a friend who just bought a 3,000sf house on 1/2 of an acre in Lexington, VA for $31k. Zillow has it at $400,000. He's either incredibly lucky and should buy me a beer, or Zillow is the worst. Leaning towards the latter.
Like the previous reply, I'm going to assume you meant $310k, not $31k, as $31k for that property doesn't make sense based on the factors you listed unless the place is a dump.
As to the disperity, this could be easily explained by seller factors. Maybe the house is actually worth $400k, but they needed to sell it, even if less than it was worth (had a contract on another home, home was a foreclosure, etc etc).
