What is this blasphemy?barbzilla said:The Order of Operations is P.E.M.D.A.S.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Oh, there is a logical* system. But it's not the only such system that we could apply to evaluating strings of symbols. PEDMAS is perfectly valid, but no more so than strict left-to-right or right-to-left evaluation. It's certainly not objectively better in anyway.Darkmantle said:I don't think "arbitrary" is the right word to use. It's not random, and it's not on a whim. There is a definite logical system.tensorproduct said:See my earlier post. The order of operations is completely arbitrary.Syzygy23 said:My issue with such things, like the order of operations, is nobody will explain WHY we HAVE to use the order of operations. Why is using any other method not legitimate?
The explanations offered by Darkmantle and poiumty explain some of the reasons that we use this particular arbitrary evaluation rule (that multiplication is treated as repeated addition so it makes sense to do it earlier). Also, treating division/multiplication and addition/subtraction as inverse operations with the same level of priority makes equation manipulation (like cancelling something from both sides of an equals) far easier (even if it is a slight misconception).
Ultimately, written maths is a language, and a language relies on consistent interpretation to convey meaning. If we don't all use the same set of rules, then a written formula might be interpreted to mean something far different from what the author intended.
"" ar·bi·trar·y -Based on random choice or personal whim, rather than any reason or system.""
So you don't need to know maths when you have a calculator? News to me. You still need maths to know what to tell the calculator to do. Let's imagine a situation that could happen to people other than just those who need advanced math in their profession: Someone tells you he'll pay you 15:1 your bet if you throw heads four times in a row. Should you play?MelasZepheos said:I was never even taught that. And right up until GCSE (16) My entire class were taught that if you saw a multiply by 0, then the answer was zero.
I was quite surprised when five years later everyone started going on about BODMAS and why multiplication by zero suddenly isn't automatically zero. Either some massive shift in mathematics occured or my school had some pretty lax standards. (and I don't care. Seriously, don't explain it to me, I will neither read it nor absorb the information.)
Because part 2 is: Unless you work in a math intensive field, you will never need anything more than addition, subtraction, and perhaps basic multiplication. The burden of mathematics has been taken off us, with these amazing tools called calculators. We have them on phones, we have them on computers, we have them in the original form. There is no need to worry about math, because you don't need it.
What exactly will you need the quadratic equation for? When your maths teacher told you you could use Pythagoras to help keep your garden tidy did it not occur to you that you could just use common sense and judge it by sight without having to take exact measurements of the hedges?
No one would nowadays ask you to make fire with flint and stone, so why do we still accuse people who use calculators of somehow 'cheating' at maths? Humans use tools, we always have and we always will, and so not to use them is in fact evolutionarily backwards.
Nitpicking: Ideally and Shouldn't Want does basically say, you can still do what ever you want. I did basically say it's not useful past that point and with the example given.Mortai Gravesend said:I don't see why 50% would be ideal. Not as a matter of statistics, but it's always better for it to be higher, it just isn't as useful past that point. It's still better, just you might want to try and put more of your effort to increasing something else at a certain point. Just nitpicking the way you put that.scw55 said:b) Reducing effectiveness on stacking random effect chance, crit. It is true that by stacking crit chance, you will do more damage, and the damage will increase flatly consistently. But what people don't consider is % damage increase.
Going from 1% crit to 3% crit gives a lot more extra damage than 67% crit to 69% crit. As a result ideally you shouldn't want to exceed a 50% chance to crit.
My point being that (assuming you know the definition of the + - x / operators) you dont need to know PEMDAS/BODMAS if you use brackets. Which makes it easier for a much larger number of people to know whats going on no matter what their background in mathematics. I didnt learn order of operations - I still havent to this day - and I cant think im the only one who didnt.Mortai Gravesend said:Just knowing the proper order of operations is a better solution. Because there is one and it is quite clear. If I were writing it as a genuine math problem I would expect people to know the order of operations as well as I do and find putting (1x2) to be utterly unnecessary.Mr_Spanky said:I personally never learnt the PEMDAS system in school at any point and I really dont like the way people write their mathematics to be deliberately confusing. Problems like these are only there to serve the purpose of somone being able to go "Hur hur hur - youre so dumb you cant even do basic maths".DoPo said:Yup, that's exactly it. And it is easy. Although, it's usually even simpler - only addition, for example. A favourite one to troll people with is something along the lines of 2+2+2*0=? (or add in some more 2s if you wish). Cue people answering 0...or even 6.A Raging Emo said:I haven't seen any trend like that. The trend with people on my List seems to be doing a really simple convoluted Maths problem.
(i.e. 1+1+1+1+1+1-1+1+1+1+1+1+1-1+1x2 = ?)
barbzilla said:The Order of Operations is P.E.M.D.A.S.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
An easy way to remember the order is with the phrase Please Excuse My Dear Aunt Sally (I thought everyone was taught this in elementary school).
If you do maths and want to make what youre trying to do clear you use brackets to show the exact order.
Hence you get:
1+1+1+1+1+1-1+1+1+1+1+1+1-1+(1x2)
or
(1+1+1+1+1+1-1+1+1+1+1+1+1-1+1)x2
and
2+2+(2*0)
OR
(2+2+2)*0
Its so simple to do that I cant help but think that the ONLY reason these exist is for peoples superiority complexes.
Im currently doing a degree in mathematics and I do modules in quantum physics and advanced electromagnetism. These problems sometimes trip me up not because im a bad mathmetician but because the writing of such problems is DESIGNED to trip you up. If I was writing this as a genuine mathematical problem I would not write it like that.
USE BRACKETS when writing equations. Simples.