Question

26 Oct 2018

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Question about

**English (US)**#
When you talk about Cartesian product, A ×A, as for the symbol of 'x '(multiply), which way or how do you pronunce?

Becuse I hear that when it's about 'measurement', you can pronunce 'by', but

I'm still not sure about 'Cartesian product'.

If I think it's kind of mathematics, I have to pronounce 'times', and not 'by', but

becuse Cartesian product is a kind of binary 'set' and it makes me feel somehow a kind of 'field', and

it doesn't have to mean that it increases as much as you multiply...and,its function? is just a kind of 'pick up from two sets (A and another A', for example), and determine the first element and the second element, such as (x, y).

Sorry, if it's wrong guess.

Thank you for your help❣️

Becuse I hear that when it's about 'measurement', you can pronunce 'by', but

I'm still not sure about 'Cartesian product'.

If I think it's kind of mathematics, I have to pronounce 'times', and not 'by', but

becuse Cartesian product is a kind of binary 'set' and it makes me feel somehow a kind of 'field', and

it doesn't have to mean that it increases as much as you multiply...and,its function? is just a kind of 'pick up from two sets (A and another A', for example), and determine the first element and the second element, such as (x, y).

Sorry, if it's wrong guess.

Thank you for your help❣️

Answers

26 Oct 2018

Featured answer

Arabic
English (US)

The Cartesian product of S with W : S x W

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Featured answer

Japanese

I see! Thank you so much❣️

I'll try to find 'with' by the key word 'denote' ╰(*´︶`*)╯

Featured answer

Arabic
English (US)

@mashichi65

😅

you don't have to. it is there on the first line. I'll quote it for you:

"Definition 3.3.1 Let A$ and B$ be two sets. The cartesian product of A$ and B$, denoted A$ x B$,..."

the second link:

"If X=Y, we can denote the Cartesian product of X with itself as X×X.."

😅

you don't have to. it is there on the first line. I'll quote it for you:

"Definition 3.3.1 Let A$ and B$ be two sets. The cartesian product of A$ and B$, denoted A$ x B$,..."

the second link:

"If X=Y, we can denote the Cartesian product of X with itself as X×X.."

Highly-rated answerer

Featured answer

Japanese

I see!

Sorry that I wasn't aware of the second one 💦

I've found 'with' in the case of 'with itself' only, so far, even though I saw the usage in other site as well.💦

But still can I think 'with' can be used such as A with B ?

Featured answer

Arabic
English (US)

@mashichi65

This is a bit of advanced mathematics. Not everyday to say the least.

The term won't be used unless the listener and the speaker know exactly what they are talking about beforehand. That they are dealing with sets.

Even for the use of 'by' for pronouncing 'x', it can't be understood if the context is unclear. With zero context, if you walk up to someone and ask "5 by 6" he wouldn't know if you are talking about measurements or multiplication.

It might sound confusing if used out of context. But in context it is fully understood and correct.

This is a bit of advanced mathematics. Not everyday to say the least.

The term won't be used unless the listener and the speaker know exactly what they are talking about beforehand. That they are dealing with sets.

Even for the use of 'by' for pronouncing 'x', it can't be understood if the context is unclear. With zero context, if you walk up to someone and ask "5 by 6" he wouldn't know if you are talking about measurements or multiplication.

It might sound confusing if used out of context. But in context it is fully understood and correct.

Highly-rated answerer

Featured answer

Japanese

Thank you for your detail explanation！

The reason why I wanted to ask is that my linguistics teacher teaches us semantics in class, and first three classes are for set theory, which is not my teacher's major, but he had to teach, and in the last Wednesday, he accidentally say "'I wonder if it's okay to pronounce 'A by A'.", even though he graduated from Harvard univ.

And besides, I nodded for his saying, without 100% sure.

So, that's why I wanted to ask about it and reference as well, sorry.

In your last line,

is the usage 'with' included in general Cartesian Product?

Or, just only when 'X with X' and not when 'X × Y', I mean I wanted to make sure if 'with' is also applicable to the case of 'X × Y' , which is the case of two different sets.

I think this is my final question💦

Sorry again m(_ _)m

Featured answer

Arabic
English (US)

@mashichi65

Not at all, and please don't be. 😊

Yes it applies to different sets and the same set equally.

Not at all, and please don't be. 😊

Yes it applies to different sets and the same set equally.

Highly-rated answerer

Featured answer

Japanese