We teach the fundamentals

Sure. They are, however, not the focus. At least that’s not how I’ve been taught in school. You’re not teaching kids how to prove the quadratic formula, do you? No, you teach them how to use it instead. The goal here is different.

They only teach order of operations.

Again, with the order of operations. It’s not a thing. I’ve given you two examples that don’t follow any.

The constructivist learners…

That’s kinda random, but sure?

And many proofs of other rules…

They all derive from each other. Even those fundamental properties are. For example, commutation is used to prove identity.

But the order you apply operators does matter

2+2-2 = 4-2 = 2+0 = 0

2 operators, no order followed.

If we take your example

2+3×4 then it’s not an order of operation that plays the role here. You have no property that would allow for (2+3)×4 to be equal 2+3×4

Look, 2+3×4 = 1+3×(2+2)+1 = 1+(6+6)+1 = 7+7 = 14

Is that not correct?

Notably you picked…

It literally has subtraction and distribution. I thought you taught math, no?

2-2 is 2 being, hear me out, subtracted from 2

Same with 2×(2-2), I can distribute the value so it becomes 4-4

No addition? Who cares, subtraction literally works the same, but in opposite direction. Same properties apply. Would you feel better if I wrote (2-2) as (1+1-2)? I think not.

Also, can you explain how is that cherry-picking? You only need one equation that is solvable out of order to prove order of operation not existing. One is conclusive enough. If I give you two or more, it doesn’t add anything meaningful.

Yes we are

Yes and no. You teach how to solve equations, but not the fundamentals (and if you do then kudos to you, as it’s not a trivial accomplishment). Fundamentals, most of the time, are taught in universities. It’s so much easier that way, but doesn’t mean it’s right. People call it math, which is fair enough, but it’s not really math in a sense that you don’t understand the underlying principles.

Yes there is!

Nope.

There’s only commutation, association, distribution, and identity. It doesn’t matter in which order you apply any of those properties, the result will stay correct.

2×2×(2-1)/2 = 2×(4-2)/2 = 1×(4-2) = 4-2 = 2

As you can see, I didn’t follow any particular order and still got the correct result. Because no basic principle was broken.

Or I could also go

2×2×(2-1)/2 = 4×(2-1)/2 = 4×(1-0.5) = 4×0.5 = 2

Same result. Completely different order, yet still correct.

My response to the rest goes back to the aforementioned.

Wasn’t it a kickstarter product? I wouldn’t consider venture a pre-order, tbf.

Pre-orders are reservations with pre-payment.

Crowdfunding is, well, funding. You aren’t buying a product. You’re funding it, which comes with additional risks and benefits.

Of course, there’s always a possibility that a product is being funded using pre-orders, which is financially irresponsible (norm varies from industry to industry). But you must be a moron to pre-order a product from a startup you know nothing about and expect not to get scammed. Outright buying their product would be risky enough.

Take housing market. You’re pretty much always either pre-ordering or buying second-hand.

Pre-ordering physical goods is fine, especially if you expect a price hike and supply limitations after launch. I wouldn’t, but I can see how it would make sense.

It’s the digital goods that make no goddamn sense to buy before they’re out. They’re not limited in supply, and their return window is often too small.

That’s because (strictly speaking) they aren’t teaching math. They’re teaching “tricks” to solve equations easier, which can lead to more confusion.

Like the PEMDAS thing that’s being discussed here. There’s no such thing as “order of operations” in math, but it’s easier to teach by assuming that there is.

Edit: To the people downvoting: I want to hear your opinions. Do you think I’m wrong? If so, why?

The “why” goes a little further than that.

In actuality, it’s because of fundamental properties of operations

• Commutation

a + b = b + a

a×b = b×a

• Association

(a + b) + c = a + (b + c)

(a×b)×c = a×(b×c)

• Identity

a + 0 = a

a×1 = a

If you know that, then PEMDAS and such are useless because they’re derived from those properties but do not fully encompass them.

Eg.

3×2×(2+2) = 3×(4+4) = 12+12 = 24

This is a correct solution that is improper if you’re strictly adhering to PEMDAS rule as I’ve done multiplication before parenthesis from right to left.

I could even go completely out of order by doing 3×2×(2+2) = 2×(6+6) and it will still be correct

Oh yeah, that’s a fun one.

Where I live, this would be considered juxtaposition, at least by uni professors and scientific community, so 2(4-2) isn’t the same as 2×(4-2), even though on their own they’re equal.

This way, equations such as 15/2(4-2) end up with a definite solution.

So,

15/2(4-2) = 3.75

While

15/2×(4-2) = 15

Usually, however, it is obvious even without assuming juxtaposition because you can look at previous operations. Not to mention that it’s most common with variables (Eg. “2x/3y”).

I’d advise you to read more on how Chinese government and spin dictatorships work. There’s a really good book written by Treisman and Guriev

It’s not really a country you’d choose over US even despite all it’s massive (cough healthcare and consumer protections cough) flaws

“Anymore” as if it ever was. Even USSR never claimed to be a communist country

P.S. They claimed to be a socialist, then “developed” socialist country that’s “on the path of building communism”.

Surprised nobody said cell degradation.

You now can live for as long as you’re not killed whilst physically keeping an appearance of an ~30 y.o. This also technically prevents cancer.

Ads, complete lack of privacy, kremlinbots.

It used to be the platform that did one thing good. Build communities. Not it does a lot of things, but all of them badly.

Not to mention that their owners are the main reason why “YouTube works bad, because Google’s servers are degrading”. Basically, Roscomnadzor (an official government censorship service) has been making YouTube unusable for over a year now to make people switch to VK Video or Rutube (both owned by same entity) whilst pretending that it doesn’t. Did it work? According to them, yes. According to reality, however, the vast majority just switched to using VPN.

Ah, I see. Yes, you’re right, they do manufacture reference design cards. First time dealing with reference models, since those aren’t sold where I live, hence the confusion, haha

Those will all be the same in terms of temperature and clock speeds. Build quality should only vary insignificantly, although I do not trust Gigabyte, due to 3000 series PCB issues and how they handled it, and ASUS due to their borderline scam customer support.

You won’t be getting any warranty buying used, I don’t think. So, imo, just get the cheapest one. You should concern yourself more with the seller, and do make sure to thoroughly check everything after buying. Both physically and performance-wise.

You must be mistaken because reference cards are specifically those made by GPU manufacturers, aka AMD, Nvidia, and Intel.

They’re called that because third-party manufacturers (Gigabyte, Asus, XFX, etc) use those as a reference to create their own designs of PCB, coolers, and settings.

Can you give links to the cards you’re speaking about?

Those aren’t reference models, the ones you named are called something like AIB or aftermarket cards. (Reference models are those made by GPU manufacturers)

Main differences between all are temperatures, clock speeds, build quality, and price.

They also have different “tiers” of cards using same GPU. Those of higher tier cost more, but have better coolers and higher clock speeds. The premium you’d be paying isn’t usually worth it, unless it’s a small amount.

Personally, I prefer Sapphire, PowerColor, or XFX for AMD cards.

It’s simple math and understanding of the law, what does political affiliation has to do with it?

0.05$ is not a substantial amount of money regardless of your political views.

Am I missing some context here that there’s new taxes passed by Trump? (Am not American)

Not really. You just have to make sure you got what you ordered by doing a bunch of tests. Plus, you usually don’t get a warranty.

Emulation itself doesn’t constitute piracy.

Now, it does facilitate it because all you need is a ROM from any source.

However, saying emulators should be prosecuted for it would be the same as arguing that Steam’s Proton should be banned because you can launch pirated games through it.

The real perpetrators are those who distribute pirated content. But going against those would be much more difficult, so they target emulators instead.

It’s more convenient than dragging a cursor across the screen. Works especially great with a 360° hinge.

Yes, ECC memory. If used, then CPU also needs to be able to support it. Then there’s number of cores, unless you specifically need high single-core performance. Efficient and reliable PSU, low power-consumption, lots of memory, redundancy for storage. Stuff like that.

None of which are essential, BTW. Any working PC can be made into a server regardless of its hardware.

All server really is is just another PC that’s been built with a different purpose in mind. The rest is software configuration. They need to be reliable, scalable, and cost you as little as possible to upkeep.

Even your router is the same. It’s all computers.

Have you ever built PCs? Macs are significantly more expensive for the same spec

The rest I agree with, it doesn’t help that Windows has been steadily going downhill with each new version…