That's your colloquialism for Maths teachers. Ok, got it.
8/2(1+3) is exactly the sort of thing programs love to misinterpret.
Programs, written by programmers, who have forgotten the rules of Maths.
thatโs fucking stupid
So you're saying the rules of Maths are stupid. Got it.
You canโt prove that 2(3) means something different from 2*3. Itโs only convention!
No, it's a rule of Maths - it's literally the opposite operation to factorising.
Itโs a thing we made up
Nothing in Maths is made up. It's based on our observations of how things work.
mathematical proofs, which are laws of the universe
Now you're getting it.
this particular notation
...which is Maths.
Reverse Polish Notation doesnโt have this issue, at all
Neither does infix notation. All notations have to obey the rules of Maths, since the rules of Maths are universal.
Distribution is not even possible in RPN
Second hit in my Google results...
(3) -6 is asking for trouble
It's -3 - where's the trouble?
say 8/2*(1+3) is different from 8/2(1+3), because in the notation used by coders, they both become 8/2*4
Welcome to why almost every single e-calculator is wrong (as opposed to handheld calculators) - MathGPT gets it right.
Nothing in Maths is made up. Itโs based on our observations of how things work.
The notation and syntax of how we express that, is made-up. There's multiple options. There's disagreements. Fuck me sideways, you are a teacher, and you can't figure out how being off-topic works?
Evidently not, as you flip between 'this particular notation is the notation!' to 'of course other notations exist' and suffer zero cognitive dissonance. By capital-M "Maths," do you mean the notation on paper, or the underlying laws-of-reality stuff? It depends! It's ambiguous and requires context, or maybe you're just factually wrong at least one of those times, and either way, that means it's plainly not THE SAME KIND OF THING as the laws-of-reality stuff.
It's a category error. You can prove that the word prove isn't spelled proove, for some reason, but the heavens would not bend the other direction if that changed. We could swap square braces and parenthesis and nothing would be different. We could use the glyph "&" instead of "7." These details are mutable and completely fucking arbitrary. But then & - 6 = 1, and you could never proove otherwise.
Second hit in my Google resultsโฆ
Shows B being subtracted from A before that value is multiplied by C. It's not distribution. It's evaluating the parenthetical.
Itโs -3 - whereโs the trouble?
The fact it's 3 and -6, not 3 - 6. Which is why I explicitly mentioned that -6 was a number, and used two other examples with -6. I wasn't just making conversation. Jesus fucking Christ, a state trusts you with the education of children.
According to the textbook you're now screenshotting at people, A(B) and (B)A are both correct - yes? They're both valid? And spaces have no impact on an equation? And writing equations like -6 + 1 are fine, instead of (-6) + 1, since you don't want needless parentheses?
โthis particular notation is the notation!โ to โof course other notations existโ
The notation for division in some countries is the obelus, in other countries it's a colon. Whatever country you're in, the notation for that country is the notation for division (be it an obelus or a colon).
Maths,โ do you mean the notation on paper, or the underlying laws-of-reality stuff
Both! Whatever notation your country uses, all the rules for Maths and use of that Maths notation are defined.
Itโs ambiguous
No, it's not.
Itโs not distribution. Itโs evaluating the parenthetical
And Distribution applies to brackets/parentheses where they have a coefficient. In other words, same same.
itโs 3 and -6, not 3 - 6
You didn't put a comma between 3 and -6, so no, it's not 3 and -6, it's 3-6. That's what you wrote, that's what it is.
a state trusts you with the education of children
Related - have you noticed how children never get this wrong? It's only adults who've forgotten the rules of Maths who get it wrong.
According to the textbook youโre now screenshotting at people, A(B) and (B)A are both correct - yes? Theyโre both valid? And spaces have no impact on an equation? And writing equations like -6 + 1 are fine, instead of (-6) + 1, since you donโt want needless parentheses?
Yes (though the latter is unconventional), yes (though the latter is unconventional), yes, yes (though unconventional - 1-6 is the conventional way to write that), yes, yes.
Again pointing straight at RPN: does the colon go between the operands, or after them? That too is notation. That too is negotiable.
The parts of mathematics that are eternal and discovered are separate from the parts that are arbitrary and invented. We are talking almost exclusively about the latter.
Both!
Itโs ambiguous
No, itโs not.
Do you read the things you write?!
And Distribution applies to brackets/parentheses where they have a coefficient. In other words, same same.
No.
What?
No!
Do you even know what your argument is?
The central point you spammed a dozen people with, here in this thread from last year, is an insistence that multiplying by a parenthetical is different from distribution. You explicitly said 2(3+1) and 2*(3+1) are not the same thing. So when your hot second of Google knowledge shows (3+1), *2, converted to RPN, you do not get to claim that's the same thing as distribution, goddammit!
You didnโt put a comma between 3 and -6, so no, itโs not 3 and -6, itโs 3-6. Thatโs what you wrote, thatโs what it is.
No, dumbass, (3) -6 is the quantities 3 and -6 in the format (A)B. A format you go on to say is fine with zero reflection or recognition, because you're experiencing this conversation one sentence at a time and putting absolutely zero thought into context or meaning.
I fucking hated teachers like you. You're not listening. You're just preaching.
multiplying by a parenthetical is different from distribution
Ok, let's tweak it (I've practically never used RPN, but only took me a couple of minutes of research to work it out)...
1/2x3 same as 1 2 รท 3 x
1/2(3) same as 1 2 3 x รท
...and to bring it back to the original question...
8/2x(2+2)
8/2(2+2)
Learn something new every day, :-) and took me no time at all to debunk your claim that it's not possible in RPN.
(3) -6 is the quantities 3 and -6 in the format (A)B
And what do you do with these "quantities"? Multiply them? If so then it's exactly the same as A(B). If you're talking about something else then tell me what you're talking about.
zero thought
I managed to work out how to do distribution in RPN, something you claimed couldn't be done, so who's the one giving zero thought?
If so then itโs exactly the same as A(B). If youโre talking about something else then tell me what youโre talking about.
I'm talking about how you said (A)B for A=3 B=-6 equals -3. By all means, tell me it's because you read it as 3 - 6, because that's my fucking point. The math is immutable. The syntax can be ambiguous.
I managed to work out how to do distribution in RPN, something you claimed couldnโt be done, so whoโs the one giving zero thought?
You don't understand the claim. No shit RPN can perform the individual steps of working through (A+B)C. But that equation does not exist in RPN. If you insist even (A+B)*C is a different equation, then obviously AC*BC*+ is a different equation. You can do the math for distribution, using RPN, but the concept of distribution does not exist within RPN.
You can't have rules about parentheses in a notation that does not have parentheses.
What you did is only equivalent. In the exact same way that evaluating a parenthetical gets the same result as distribution. Because that part is math, not notation. And it doesn't matter if you do the multiplication using repeated addition, or the Russian peasant method, or floating point, or whateverthefuck. The math doesn't change... but many competing methods are equally valid.
Iโm talking about how you said (A)B for A=3 B=-6 equals -3
No, that's not what I said, since that's not what you said. You didn't write (A)B where A=3 and B=-6, you wrote (3)-6, which is 3-6 (the brackets are redundant as they are 2 terms separated by an operator), which is -3. If you intended this to be interpreted as a single term then you should've written (3)(-6), which is -18. Alternatively, if you had written (3)6, that would be equal to 18, but you wrote (3)-6, which is 2 terms separated by a minus. You wrote (A)-B, not (A)B (or (A)(B)), and so I read it as (A)-B.
The syntax can be ambiguous.
No, it's not. Now that I know what you mean, you just failed to write it the way you apparently intended - you didn't follow the syntax rules for multiplying by a negative.
but the concept of distribution does not exist within in RPN
So what you're really saying, as far as I can tell, is brackets themselves don't exist in RPN.
evaluating a parenthetical gets the same result as distribution
Except when it doesn't, which is my original point.
So what youโre really saying, as far as I can tell, is brackets themselves donโt exist in RPN.
As far as you can tell. Really. Like it's an oblique implication, and not the next sentence.
If this is the rate you absorb information when it's repeatedly laid out in plain fucking English, I'm not sure we'll live long enough for you to grasp why your original point was off-topic. Good day.
As far as you can tell. Really. Like itโs an oblique implication
Indeed there was an oblique implication in me saying "as far as I can tell", but you seemed to miss it (I was wording it in a polite way, rather than being downright rude like a lot of people in here seem to have no trouble with at all, but water off a duck's back...).
your original point was off-topic
The OP was about an e-calculator giving the wrong answer, so I don't see how explaining why it's doing that is off-topic (in your view).
That's your colloquialism for Maths teachers. Ok, got it.
Programs, written by programmers, who have forgotten the rules of Maths.
So you're saying the rules of Maths are stupid. Got it.
No, it's a rule of Maths - it's literally the opposite operation to factorising.
Nothing in Maths is made up. It's based on our observations of how things work.
Now you're getting it.
...which is Maths.
Neither does infix notation. All notations have to obey the rules of Maths, since the rules of Maths are universal.
Second hit in my Google results...
It's -3 - where's the trouble?
Welcome to why almost every single e-calculator is wrong (as opposed to handheld calculators) - MathGPT gets it right.
The notation and syntax of how we express that, is made-up. There's multiple options. There's disagreements. Fuck me sideways, you are a teacher, and you can't figure out how being off-topic works?
Evidently not, as you flip between 'this particular notation is the notation!' to 'of course other notations exist' and suffer zero cognitive dissonance. By capital-M "Maths," do you mean the notation on paper, or the underlying laws-of-reality stuff? It depends! It's ambiguous and requires context, or maybe you're just factually wrong at least one of those times, and either way, that means it's plainly not THE SAME KIND OF THING as the laws-of-reality stuff.
It's a category error. You can prove that the word prove isn't spelled proove, for some reason, but the heavens would not bend the other direction if that changed. We could swap square braces and parenthesis and nothing would be different. We could use the glyph "&" instead of "7." These details are mutable and completely fucking arbitrary. But then & - 6 = 1, and you could never proove otherwise.
Shows B being subtracted from A before that value is multiplied by C. It's not distribution. It's evaluating the parenthetical.
The fact it's 3 and -6, not 3 - 6. Which is why I explicitly mentioned that -6 was a number, and used two other examples with -6. I wasn't just making conversation. Jesus fucking Christ, a state trusts you with the education of children.
According to the textbook you're now screenshotting at people, A(B) and (B)A are both correct - yes? They're both valid? And spaces have no impact on an equation? And writing equations like -6 + 1 are fine, instead of (-6) + 1, since you don't want needless parentheses?
The notation for division in some countries is the obelus, in other countries it's a colon. Whatever country you're in, the notation for that country is the notation for division (be it an obelus or a colon).
Both! Whatever notation your country uses, all the rules for Maths and use of that Maths notation are defined.
No, it's not.
And Distribution applies to brackets/parentheses where they have a coefficient. In other words, same same.
You didn't put a comma between 3 and -6, so no, it's not 3 and -6, it's 3-6. That's what you wrote, that's what it is.
Related - have you noticed how children never get this wrong? It's only adults who've forgotten the rules of Maths who get it wrong.
Yes (though the latter is unconventional), yes (though the latter is unconventional), yes, yes (though unconventional - 1-6 is the conventional way to write that), yes, yes.
Again pointing straight at RPN: does the colon go between the operands, or after them? That too is notation. That too is negotiable.
The parts of mathematics that are eternal and discovered are separate from the parts that are arbitrary and invented. We are talking almost exclusively about the latter.
Do you read the things you write?!
No.
What?
No!
Do you even know what your argument is?
The central point you spammed a dozen people with, here in this thread from last year, is an insistence that multiplying by a parenthetical is different from distribution. You explicitly said 2(3+1) and 2*(3+1) are not the same thing. So when your hot second of Google knowledge shows (3+1), *2, converted to RPN, you do not get to claim that's the same thing as distribution, goddammit!
No, dumbass, (3) -6 is the quantities 3 and -6 in the format (A)B. A format you go on to say is fine with zero reflection or recognition, because you're experiencing this conversation one sentence at a time and putting absolutely zero thought into context or meaning.
I fucking hated teachers like you. You're not listening. You're just preaching.
Ok, let's tweak it (I've practically never used RPN, but only took me a couple of minutes of research to work it out)...
1/2x3 same as 1 2 รท 3 x
1/2(3) same as 1 2 3 x รท
...and to bring it back to the original question...
8/2x(2+2)
8/2(2+2)
Learn something new every day, :-) and took me no time at all to debunk your claim that it's not possible in RPN.
And what do you do with these "quantities"? Multiply them? If so then it's exactly the same as A(B). If you're talking about something else then tell me what you're talking about.
I managed to work out how to do distribution in RPN, something you claimed couldn't be done, so who's the one giving zero thought?
I'm talking about how you said (A)B for A=3 B=-6 equals -3. By all means, tell me it's because you read it as 3 - 6, because that's my fucking point. The math is immutable. The syntax can be ambiguous.
You don't understand the claim. No shit RPN can perform the individual steps of working through (A+B)C. But that equation does not exist in RPN. If you insist even (A+B)*C is a different equation, then obviously AC*BC*+ is a different equation. You can do the math for distribution, using RPN, but the concept of distribution does not exist within RPN.
You can't have rules about parentheses in a notation that does not have parentheses.
What you did is only equivalent. In the exact same way that evaluating a parenthetical gets the same result as distribution. Because that part is math, not notation. And it doesn't matter if you do the multiplication using repeated addition, or the Russian peasant method, or floating point, or whateverthefuck. The math doesn't change... but many competing methods are equally valid.
No, that's not what I said, since that's not what you said. You didn't write (A)B where A=3 and B=-6, you wrote (3)-6, which is 3-6 (the brackets are redundant as they are 2 terms separated by an operator), which is -3. If you intended this to be interpreted as a single term then you should've written (3)(-6), which is -18. Alternatively, if you had written (3)6, that would be equal to 18, but you wrote (3)-6, which is 2 terms separated by a minus. You wrote (A)-B, not (A)B (or (A)(B)), and so I read it as (A)-B.
No, it's not. Now that I know what you mean, you just failed to write it the way you apparently intended - you didn't follow the syntax rules for multiplying by a negative.
So what you're really saying, as far as I can tell, is brackets themselves don't exist in RPN.
Except when it doesn't, which is my original point.
As far as you can tell. Really. Like it's an oblique implication, and not the next sentence.
If this is the rate you absorb information when it's repeatedly laid out in plain fucking English, I'm not sure we'll live long enough for you to grasp why your original point was off-topic. Good day.
Indeed there was an oblique implication in me saying "as far as I can tell", but you seemed to miss it (I was wording it in a polite way, rather than being downright rude like a lot of people in here seem to have no trouble with at all, but water off a duck's back...).
The OP was about an e-calculator giving the wrong answer, so I don't see how explaining why it's doing that is off-topic (in your view).
Bye now.