PeriodicallyPedantic

if PEDMAS is a law

It isn't, it's a convention. Not sure how many times you need to be told that 🙄

THANK YOU. this is what I've been trying to tell you the entire fucking time. PEMDAS is not a law, its a convention.

but just in case you decide to go back on that, and since you seem to be obsessed with the idea that all notations adhere to PEMDAS - let me blow your mind:

here is the distributive law, written in the 3 notations we've been talking about:
prefix: *a+bc = +*ab*ac
infix: a(b+c) = ab+ac
postfix: abc+* = ab*ac*+

(not using juxtaposition multiplication for prefix/postfix for clarity)

so where does PEDMAS get involved in prefix or postfix notations?

regarding your textbook being the first google result... are you referring to the textbook from 1913? for someone talking about the importance of textbooks, thats a really strange choice. I can't find another with the same name and author of either Coll or Rich.
and hilariously, if you look at that text book, on page 90 it says the following:

Probably the most common error consists in breaking the laws of precedence of operations (§ 13). These laws were made arbitrarily, but are recognized the world over, and the student must accept and memorize them.

None of those really "feel like" the things they're replacing. I don't really even think that should be the goal. They occupy the same space, though, and the infographic would look stupid if it showed all the options in some category, so they just picked a popular proprietary/centralized one, and a popular federated alternative in the same category. In this case discord is a popular chat app, and the most popular federa chat app afaict is matrix.

That's some awful impressive goalpost shifting. Gold medal mental gymnastics winner.

And here you are, still unable to explain why prefix and postfix notation don't have an operator precedence. I'm still waiting.

I already told you 3 times they obey the same rules

They literally don't, and I defy you to show me a single source that tells you that prefix or postfix notation use PEDMAS. I'll even take Quora answers.
Heck, I'll even take a reputable source talking about prefix/postfix that doesnt bring up how order of operations isn't required for those notations.

Nope. Doesn't say that anywhere. Go ahead and screenshot the part which you think says that. I'll wait

Right here:

Infix notation needs extra information to make the order of evaluation of the operators clear:

rules built into the language about operator precedence and associativity

Which you attempt to retort with

BTW this is completely wrong...

But then you go on to say something to the effect of "anyone who knows the rules can the extra information". Which is both unsubstantiated given the long history of not having PEDMAS, but also kind of a nothingburger.

Doesn't say that either. 🙄 Again, provide a screenshot of where you think it says that

It's literally the whole thing. Did you notice how they never discuss the need for operator precedence, or use operator precedence?

Build for me a prefix or postfix equation that you think is changed by adding parentheses (eg overriding the natural order of operations), and then go ahead and find a prefix or postfix calculator and show me the results of removing those parentheses.
If you read the rules for those notations, you'll see pretty clearly that operator precedence is purely positional, and has nothing to do with which operator it is.

Note that I always cite Maths textbooks

No, you've show a screenshot from a random PDF. What math textbook and what edition is it?

The fact you think that factorization has to do with order of operations is shocking.
Yes the multiplication is done first, but not because PEDMAS. The law is about converting between a sum of a common product and a product of sums. No matter how you write them, it will always be about those things, so the multiplication always happens first. It doesn't depend on PEDMAS because without PEDMAS you'd simply write the equation differently and factorization would still work.
It's crazy that you're not able to distinguish between mathematical concepts and the notation we use to describe them.

But putting that aside, that's not a proof of PEDMAS.
If PEDMAS is an actual law, then there will be a formal proof or theorem about it. There are proofs for 1+1, if PEDMAS is a law then there will be an actual proof specifically about it. Not just some law and then you claim it follows that PEDMAS is true, an actual proof or theorem, or an textbook snippet explain how it is an unprovable statement.

NORAD worked with jets of other kinds, without the interplane networking, before the f35 existed.

To say that they depend on some feature or ability of the f35 is disingenuous.

Why would the Jets have to be f35s?

The agreement existed before f35s existed, so it can't be due to something unique to the f35 itself.

They say, as though if we agree they won't simply use the same threat later for something else, and then ignore the agreement when it suits them.

Might as well just ignore the threat

I already scare the baddies away 🥲

What is up with Pooh's face?
Is this AI?

Left to right is a convention, yes, doing Multiplication and Division before Addition and Subtraction is a rule 🙄

A claim entirely unsupported by the textbook example you provided. Nowhere does it say that one is a convention but not the other, it only says that removing brackets changes the meaning in some situations, which is fully within the scope of a convention.

For the 3rd time it does have order of operations 🙄You just do them in some random order do you?

There you go again, just admitting you don't know what postfix and prefix notations are.
If you're ordering your operations based what the operator is, like PEDMAS, then what you're doing isn't prefix or postfix.

I'll tell you what, here is a great free article from Colorado State university talking about prefix, postfix, and infix notations.
Note how it says the rules about operator precedence are for the notation which itself is a convention, as all notations are, and how prefix and postfix don't need those rules

says person who doesn't know the difference between conventions and rules, and thinks postfix notation doesn't have rules 🙄

How embarrassing for you.
Here are some more materials:

• A post by Berkley university about popular ambiguous equations.
• A published paper from Berkley that has been cited, with much stronger language on the matter.
• Here is an article from the university of Melbourne
• Article from the university of utah
• A howstuffworks article on order of operations that explains it, doesn't have the pedigree of a university, but still clearly explained
• Plus dozens of Quora answers, articles from online academies and learning centers, that I figured you'd just dismiss.

But to top it all off, if this was truely a law of mathematics, then show me a proof, theorem, or even a mathematical conjecture, about order of operations.

You're not familiar with the rapper Little Johnathan?

The time to release this was before they were all dead or near enough to it.

Although if they all moved to Alberta, that'd explain some things

You're thinking of sheet. Sleet is the act of ejaculating onto something