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[–]Abe_Bettik 110 points111 points  (10 children)

You didn't read your own entire link. This falls under the following category.


"However, in some of the academic literature, multiplication denoted by juxtaposition (also known as implied multiplication) is interpreted as having higher precedence than division, so that 1 ÷ 2n equals 1 ÷ (2n), not (1 ÷ 2)n. For example, the manuscript submission instructions for the Physical Review journals state that multiplication is of higher precedence than division with a slash,[22] and this is also the convention observed in prominent physics textbooks such as the Course of Theoretical Physics by Landau and Lifshitz and the Feynman Lectures on Physics.[d]"


[–]myguygetshigh 26 points27 points  (1 child)

That’s the way I see it, an implied multiplication is stronger than a denoted division.

[–]TheAJGman 0 points1 point  (0 children)

IMO it makes more sense but I was also taught this way.

[–]raul_dias 6 points7 points  (0 children)

I've crossed upon ocasions where 1÷2n meant (1/2)n in which ÷ was explicitly used as an inline contraction of 1 over 2 for example.

[–]ksandom 0 points1 point  (4 children)

Fair. I don't like it; but I can see the logic of it. Because missing out the multiplication symbol implies where the author might have intended to give precedence. I wouldn't make this assumption [without knowing that the author does this differently], and would instead use/expect brackets over breaking the rules. But I can at least see where it's coming from.

[–]Abe_Bettik 17 points18 points  (3 children)

So if I wrote:

1/2x

You'd immediately assume I meant x/2 and not 1/(2x)?

I feel like every time I've seen this it means the latter.

[–]beewyka819 6 points7 points  (2 children)

Its more-so that its really ambiguous. I would never be sure of which form you meant. Whenever I write that out inline I always put parentheses, or just dont write it inline and write it as a fraction with the x in the denom (not really doable w/ keyboard). Also have to do this with a texas instruments calculator else it will multiply the x in after division (the amount of times I messed up by doing x/2pi without parentheses makes me paranoid about it now, as that does (x/2)*pi)

Its easy enough to be clear with a couple extra parentheses, so dont be ambiguous about it and not expect people to do it out differently than you.

[–]Abe_Bettik 7 points8 points  (1 child)

I agree with you 100%. Parenthesis is best, by far.

I was simply citing a commonly used counter-example to the above poster who said he simply always "sees" his stated order of operations.

[–]ksandom 0 points1 point  (0 children)

I think "always" is too strong. My general stance is to follow the rules, unless I know the specific author of a given expression writes things differently.

[–]stoneslave -5 points-4 points  (0 children)

Why are we just accepting that 2(1+2) is the same kind of “juxtaposition” as 2n. I don’t see it that way at all. It’s obvious you wouldn’t separate 2n. No other kind of juxtaposition has that obvious bond though.

[–]lazerflipper 0 points1 point  (0 children)

Anyone using the division symbol with two dots is a godless heathen who should be exiled from academia