Ten is the lovliest number... - by Nicker
Qooper on 10/10/2023 at 08:20
Quote Posted by Pyrian
But there's two different vector products (dot product and cross product) and
neither of them are really all that much like normal multiplication at all. The dot product of two vectors isn't even a vector, and cross products aren't commutative (or rather they're "anti-commutative" so V1 X V2 = - V2 X V1).
Not to mention the cross product exists only in three dimensions. Also, there's a whole host of other products that come with vectors, which is expected: more structure -> more things that can be done with that structure.
I recently started studying geometric algebra, and even though I still don't understand much of it, I'm absolutely stunned that for example in R3 the cross product pops out of the geometric product as the exterior product.
And Nicker, ten absolutely
IS the best number:
[video=youtube;shdgtApVPPA]https://www.youtube.com/watch?v=shdgtApVPPA[/video]
Nicker on 10/10/2023 at 12:10
WEll! That's settled then.
Komag on 11/10/2023 at 11:41
I like using binary to count to 31 on one hand or 1023 and two hands, very useful to keep track of larger numbers that way!
Qooper on 11/10/2023 at 12:48
Quote Posted by Komag
I like using binary to count to 31 on one hand or 1023 and two hands, very useful to keep track of larger numbers that way!
132 :D
EDIT: Sorry, that wasn't very nice of me. Anyways, I've been wondering if anyone else did this too. Cool that you do! 513 :)
Komag on 12/10/2023 at 18:32
:D :cheeky: Yeah, my 11 yr old daughter was like "Daddy, I can never show 4!"
mxleader on 13/10/2023 at 12:39
69 is the loveliest number.
SD on 13/10/2023 at 21:39
"Ten" would always exist, wouldn't it, even in a different system? I mean, whenever I've tried to visualise a different base, I've never been able to do so without 10, 20, 30 - although obviously these numbers would have different values, proportionate to the relative base being used.
So a base 8 system may go
1 2 3 4 5 6 7 10
11 12 13 14 15 16 17 20
21 22 23 24 25 26 27 30
etc
Is there any other way of doing it? I can't see one.
Pyrian on 13/10/2023 at 22:46
You'll always have 10 in any base digit system. 20 and 30, not so much; e.g. binary has neither.
Cipheron on 14/10/2023 at 00:49
Quote Posted by Pyrian
The dot product of two vectors isn't even a vector
The dot product is an extension of matrix multiplication however, so the output is actually a 1x1 matrix using the rules of matrix multiplication. It's also a 1-dimensional vector.
Quote Posted by SD
"Ten" would always exist, wouldn't it, even in a different system?
...
Is there any other way of doing it? I can't see one.
I think you might not be thinking outside the box here. Many systems have been invented to write numbers down other than the positional digit system. For example in this number system you can express any 4-digit number as a single rune:
(
https://frisellagiuseppe.medium.com/what-are-the-cistercian-numerals-23bed7491537)
SD on 14/10/2023 at 03:10
Quote Posted by Cipheron
I think you might not be thinking outside the box here. Many systems have been invented to write numbers down other than the positional digit system.
Right, I was thinking about what the most simple, straightforward, logical way of doing it would be. It stands to reason that there would be many less intuitive ways (the Yautja language numerals in
Predator sprung to mind).