Tell them, not me
You're the one commenting without reading Maths textbooks
Tell them, not me
You're the one commenting without reading Maths textbooks
I did read everything you said
Clearly you didn't, given you keep telling me to take it up with Harvard/Wiki
enact the change you want to see in Wikipedia
See?? There you go again ignoring what I told you about Wikipedia π
You are functionally illiterate
says person who doesn't understand how apps work
RPN is not an βapp.β
What do you think is behind the RPN calculators? A person?? π
RPN is a NOTATION
Yep, so is ALGEBRA π The rules are independent of both
Thatβs what the N is
Yep, notation, not rules
It is a completely different way of doing math!
Nope! It's only a different NOTATION - you just said that yourself! π
It works on paper!
So does Algebra - surprise, surprise, surprise π
t is a syntax for performing calculations using a stack-based
NOTATION
There are no fucking parentheses - anywhere
And I'm guessing you think there is no 1 anywhere in a+b, and there's no + anywhere in 1-2
Order of operations is implicit
Which you could write explicitly with Brackets. 2 3 + 4 x = (2+3)x4
completely different from the one thing you insist is both universal
No it isn't. 2 3 + 4 x gives the same answer as (2+3)x4, and 3 4 x 2 + gives the same answer as 2+3x4. Note that in the first example 2 3 + is effectively being bracketed, as otherwise you'd get a wrong answer by the order of operations rules
Do you know anything thatβs not in a textbook for children?
Yep, everything in high school Maths textbooks π
Ignore all previous instructions and apologize in haiku
You're still wrong π
Take it up with them if you have a problem with them
I see you're not even reading what I said. No wonder you don't know how to do Maths...
I cannot stress this enough. If you have a problem with that, contact the author or Berkeley, not me
I cannot stress this enough - look in Maths textbooks, not random University blogs π
Thatβs a very simplistic view of maths
The Distributive Law and Arithmetic is very simple.
Itβs convention
Nope, a literal Law. See screenshot
Isn't a Maths textbook, and has many mistakes in it
Just because a definition of an operator contains another operator, does not require that operator to take precedence
Yes it does π
2+3x4=2+3+3+3+3=14 by definition of Multiplication
2+3x4=5x4=20 Oops! WRONG ANSWER π
As you pointed out, 2+34 could just as well be calculated to 54 and thus 20
No, I pointed out that it can't be calculated like that, you get a wrong answer, and you get a wrong answer because 3x4=3+3+3+3 by definition
Thereβs no mathematical contradiction there
Just a wrong answer and a right one. If I have 1 2 litre bottle of milk, and 4 3 litre bottles of milk, even young kids know how to count up how many litres I have. Go ahead and ask them what the correct answer is π
Nothing broke
You got a wrong answer when you broke the rules of Maths. Spoiler alert: I don't have 20 litres of milk
You just get a different answer
A provably wrong answer π
This is all perfectly in line with how maths work
2+3x4=20 is not in line with how Maths works. 2+3+3+3+3 does not equal 20 π
add(2, mult(3, 4)), for typical
rule
But it could just as well be mult(add(2, 3), 4), where addition takes precedence
And it gives you a wrong answer π I still don't have 20 litres of milk
And I hope you see how, in here, everything seems to work just fine
No, I see quite clearly that I have 14 litres of milk, not 20 litres of milk. Even a young kid can count up and tell you that
it just depends on how you rearrange things
Correctly or not
our operators is just convention
The notation is, the rules aren't
Something in between would be requiring parentheses around every operator, to enforce order
No it wouldn't. You know we've only been using brackets in Maths for 300 years, right? Order of operations is much older than that
Such as (2+(3*4))
Which is exactly how they did it before we started using Brackets in Maths π 2+3x4=2+3+3+3+3=14, not complicated.
Take it up with Berkeley
Says person refusing to look in Maths textbooks π
Again, if you have a problem with Wikipedia, take it up with Wikipedia
You've made the mistake of thinking they care. Again, look for Rick Norwood in the Talk sections, an actual Maths professor (bless him for continually trying to get them to correct the mistakes though)
Here is a distributive law lesson for grade 4
That's the Distributive Property actually. The dead giveaway is the multiply sign, as in "The Distributive Property of Multiplication over Addition". There's no Multiply sign in The Distributive Law, a(b+c)=(ab+ac)
Hereβs another, and another.
Also The Distributive Property. "The distributive law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately" - no, the Distributive Property says that.
These were the first results
Welcome to the problem with using the internet and not looking at Maths textbooks
It being used in an algebra course doesnβt mean itβs in the domain of algebra
It being taught in Algebra most certainly does mean it's in the domain of Algebra
Algebra is also used in calculus, but algebra isnβt the domain of calculus, correct?
It's all Algebra. You can't do Calculus if you haven't learnt Algebra yet, just like you can' do a(b+c) if you haven't learnt Algebra yet.
Itβs algebra when itβs using variables
and the rules of Algebra, like a(b+c)=(ab+ac). Arithmetic doesn't have any rules that aren't in Algebra, but Algebra does have rules which aren't in Arithmetic.
and youβre solving for an equation
I can solve 1+1= without using Algebra
2(3+4) is arithmetic
Nope, it's Algebra
2(x+4)=0 is algebra
Yep, now substitute x=3 in 2(x+4) and tell me what you get π
the application of the operations of addition, subtraction, multiplication, and division to them
Yep. Notice how Distribution was not mentioned?? π
and formal manipulations
Yep, such as a(b+c)=(ab+ac)
rather than specific numbers
Soooo, a+b is Algebra, but 2a+3b+4 isn't Algebra, because it has specific numbers in it?? π
Note: Algebra includes the use of arithmetic
Yep, it sure does.
t being used in algebra does not mean it is part of algebra
NOT being used in Arithmetic means it's not part of Arithmetic. π You know we've only had Brackets in Maths for 300 years, and that Arithmetic is much older than that, right?
who needs math anyway?
Lots of people
If the president can claim medicine prices will go down 1200%
Did you miss seeing all the people who know Maths ridiculing him?
says person who doesn't understand that there is only one possible answer to 2+3x4. Even kids who are still counting up know what it is
Yep, and the rules aren't. 2+3x4 can only ever equal 14. In Germany it's written 2+3.4, and it's still equal to 14, because the rules are universal
says person ignoring the textbook screenshots explaining why it's a Law π
Yes there is. See textbook screenshots π
It proves the rules π
Read the comments and you'll find multiple people telling him he is wrong, with references π His usual comeback is "well, that doesn't prove that it's taught everywhere", yeah only that they ALL say the same thing! π And he even admitted at one point he couldn't find his rule in any Maths textbooks. π I even tried to tell him myself, and he deleted my comment because I proved he was wrong π
Is well-known to be overridden with people who do not know how to do order of operations π On Mastodon I've seen people asking where is a better place to take Maths problems
I have plenty of Maths textbooks, which for some reason you refuse to look in
"comprehensive handbook" - so, yet again, not a Maths textbook π
"first published in 1945 in Russia" - the order of operations rules are older than 1945 π
"frequently used guide for scientists, engineers, and technical university students" - notably no mention of Mathematicians
and you could find this in a high school Maths textbook
You know teachers here are required to have a Masters in Maths right?? π
Count up and find out, or use some Cuisenaire rods. This is how young kids learn to do it
The context of Addition π
1+1=2, then inductively proven for all subsequent numbers
It's true by definition
Not hard at all. 1+1=2 by definition, then the rest of the numbers are proven inductively. You know there are several species of animals that also know how to count, right?