Mathematics isn’t some objective truth
Yes it is. That's why it's such a huge part of Physics.
it’s just human made structures
The notation is. The rest is underlying laws of Nature.
Sometimes we can even apply them to real world situations!
Maths whole reason for being is to model real world situations.
Juxtaposition of a number in front of any expression implies multiplication!
You think 10 means 1x0?
Fucking addition?
No, place value. It's not juxtaposition unless you have brackets and/or pronumerals in the term
I’ve always wanted to look into/prototype the code-style declaration of UI in code rather than XML
Um, ok. That's weird, because the blog post is from just last week
(Not so) Fun fact: I first learnt how to use Xamarin from a book he wrote. It wasn't very good (not unlike Microsoft documentation). He started out just having everything in MainPage, then switched to having separate classes (like MVVM stuff), but didn't point out he had made this switch! The code snippets didn't reflect that this was actually now in a different class! Wait what?? Wait what?? Why is none of this working?! 😂 There was a later chapter about MVVM, but he had switched styles BEFORE that chapter. So when he talks about top-down and bottom-up, well, his book was an explode in the middle approach! 😂
I didn't! It's working for me.
the worst order of operations thing imo is with the denominator in division, many people say that 1/4x should be read as (1/4) * x and not 1/(4x)
Oh god yes. I have a whole thread dedicated to it with textbook screenshots, etc. at Order of operations thread index
although I think this is usually the less popular option in polls
Depends on how many adults have forgotten the rules, since that's what the poll is really tracking. Students have no issue with getting them correct (we're talking like 98% correct).
apparently wolfram alpha does it that way, as well as most newer graphing calculators (TI switched between the ti-82 and ti-83)
In both cases they're disobeying The Distributive Law, and so are demonstrably wrong
Joke is democracy doesn’t always get it right
Yes, but more to the point it's adults who've forgotten the rules. Students don't have any issue with this. Exact same applies to all the order of operations memes floating around, like 6/2(1+2) - students have no trouble with it, it's adults who've forgotten the rules who argue about it.
(-3)²
Well, in my defense, that’s has the uglies.
Well, the alternative is to have to write -(3)² every time to show it's not (-3)², so pick your poison.
You do the exponent first, then multiplication.
-3² = -1 * 3²
There's no multiplication, just subtraction (from an unwritten 0). -3² = 0-3²
there is no space to indicate the - represents a subtraction operator
Spaces don't mean anything in Maths, and I don't know why people keep adding them in! A minus sign is a minus sign, whether there are spaces next to it or not.
the immediate prefix - actually represents: (-1)x
No, it actually doesn't. It represents 0-x. Every operation on the number line starts from 0.
this actually represents (-1)(x²)
No, it actually represents 0-x²
such that PEMDAS is upheld
Which what you wrote doesn't. M refers literally to Multiplication signs. S refers literally to subtraction signs. -x² is E then S in PEMDAS.
I don’t make these rules
You did make those up actually (or you've repeated someone else who made them up).
but this is how it works
No it isn't. A minus sign is the S in PEMDAS, not M.
Double check in wolfram alpha if you doubt it
Look in a Maths textbook. Wolfram is known to be wrong in several areas. University professors warn their students against using it without adding brackets everywhere.
You must be writing from an alternate universe where what I just said isn't already in textbooks and books on the history of Maths. It's certainly what we teach to students