5 ms·
Kind of weird that no consensus have emerged for multiplication (·, ×, *, or horizontal juxtaposition) or division (÷, /, or vertical juxtaposition with horizon
by abrahamsen 14y ago
Kind of weird that no consensus have emerged for multiplication (·, ×, *, or horizontal juxtaposition) or division (÷, /, or vertical juxtaposition with horizontal line between) yet.
- jacquesm 14y agoThe / is actually the - from the other symbol and the .'s are placeholders for the numbers to the left and the right of the / so those are in fact pretty close.
- deleted 14y ago[deleted]
- mich41 14y agoEverybody uses juxtaposition for multiplication (or dot when some separation is required) and horizontal line for division. * and / are poor man's substitutes when all you have is ASCII. × is used for vector products, Cartesian products and products of algebraic structures in general. The only place I've ever seen × or ÷ being used in arithmetics was primary school. No idea why they use them.
- gpvos 14y agoIn primary school in the Netherlands (and maybe elsewhere?), : is used for division.
- mich41 14y agoRight, I've seen this one too.
- pyrocrasty 14y agoIt's actually widely used for division, but only in some contexts. (It signifies a ratio, eg. "3:2 odds".)
- mseebach 14y ago> The only place I've ever seen × or ÷ being used in arithmetics was primary school. No idea why they use them. Perhaps because the other prominent use is on the buttons of every single calculator in the world.
- kps 14y agoI recall using × and ÷ in primary school, before the advent of portable calculators. I know that's mere anecdotal evidence, but I believe there do exist reliable documentary sources from that era.
- mseebach 14y agoClearly, the idea to put those symbols on calculator buttons didn't come from nowhere. I think our collective point is that there exists a separate tradition for using × and ÷.
- rmccue 14y ago÷ is the symbol for division since it symbolises a fraction, with the two dots taking the place of the numbers. I'd say this is why, as some people have noted, : can also be used for division in some contexts: it represents a ratio, which is again just a fraction.
- sesqu 14y agoThe way I was taught it, though, is that ratios are rather different from fractions. You might say 2:1 of tea and honey, but ⅔ tea and ⅓ honey. However, when describing only one quantity, some people will say 1:2 of honey while others might say 1:3 of honey.
- Uncompetative 14y agoWhat then happens when you have to split a long line of math? What then happens when you need to multiply 2 by 2? The answer to the first question is that the following line is begun with a multiplication sign. The answer to the second question is that bold roman type is used for vectors and often for other forms of tensor like a matrix to overload the semantics of dot and cross to not be scalar products were either of their arguments in italic.