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.
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.