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Poll: Asking for a friend – what do you understand by "6x4"

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21–30 of 58 posts

Re: Poll: Asking for a friend – what do you understand by "6x4"

#22
There are two options for "six, four copies of".

I see this as an area with six units along one side and four units along the next side.

I'd read "6 x 4" as "multiply 6 by 4" which I'd see as "6 + 6 + 6 + 6" and the same as six x four.

I am not sure what you mean by "lots" or "copies".

Re: Poll: Asking for a friend – what do you understand by "6x4"

#24

First association - wood (mighty big as well) Second association - 6 wheeled vehicle, 4 wheels driven (possibly because of the recent Top Gear with the Mercedes 6x6).

Wood for me too, I guess all those summer jobs at construction left something behind.

Re: Poll: Asking for a friend – what do you understand by "6x4"

#29

The context has to be very particular for me not to consider this to be exactly 24 (natural number, not real number) without intermediate representation. I assume we're working over the ring of integers here. In that case, 6x4 is only ever not instantly 24 when it's part of an expression of similar terms (say, 6x1 + 6x2 + 6x3 + 6x4) in which a pattern is being expressed. If you're not working over the usual ring, tho…

For me the multiplication is not all that obvious because I'm used to reading and writing "6*4" for multiplications within an ASCII context. 6x4 looks like a noun to me, a type of real-world object or maybe an area.

Re: Poll: Asking for a friend – what do you understand by "6x4"

#30
How about: "The multiplicative ring operation of ℤ on the elements (((((1+1)+1)+1)+1)+1) and (((1+1)+1)+1)."

As a mathematician with a slight focus on algebra when I see such terms the questions that come to my mind are rather: Which ring am I working on, has it finite characteristics, is one of these numbers a ring element and the other an Element of ℤ [1]? It is always funny to see how your focus changes your perception :)

[1] For example 4 could be an element of the finite field with 5 elements GF(5). Then I would interpret 6x4 as 4+4+4+4+4+4, because 6 is not an element of GF(5) and I thus cannot plug it into the multiplication operation of GF(5).

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