| Page 141 of 2626 |
|
|
|
| Back to top |
|
 |
|
|
 Posted: Fri, 7th Aug 2009 01:15 Post subject: |
|
|
|
|
|
| Back to top |
|
|
LeoNatan
☢ NFOHump Despot ☢
Posts: 73196
Location: Ramat Gan, Israel 🇮🇱
|
| Posted: Fri, 7th Aug 2009 01:20 Post subject: |
|
|
Haha the crisis counseling and the imaginary are great! 
|
|
| Back to top |
|
|
|
|
| Posted: Fri, 7th Aug 2009 01:34 Post subject: |
|
|
Thanks /b/
|
|
| Back to top |
|
|
|
|
| Posted: Fri, 7th Aug 2009 01:37 Post subject: |
|
|
Last edited by Yondaime on Mon, 2nd Dec 2024 16:01; edited 1 time in total
|
|
| Back to top |
|
|
|
|
| Posted: Fri, 7th Aug 2009 02:19 Post subject: |
|
|
| Spiderman wrote: | NO
ITS
PUTIN TIME
 |
lol but who is that guy sitting on putin?  |
|
| Back to top |
|
|
|
|
| Posted: Fri, 7th Aug 2009 08:36 Post subject: |
|
|
|
|
|
| Back to top |
|
|
|
|
| Posted: Fri, 7th Aug 2009 10:02 Post subject: |
|
|
lol I have a son who has Asperger's Autism. He only deals well in black and white answers. I showed him the imaginary number toon and he was pissed. lol He knew and understood it right away. He is a math whiz as far as real numbers are concerned. Bring some gray area in and he has a hard time with it. He can not understand "gray area". He has stated he is a Athiest. He doesn't understand faith. I am not making fun of him but he is a one of a kind. He is 14. Be glad you can understand the simple concept of imaginary numbers. Or sit here listening to "But they aren't real!!"
|
|
| Back to top |
|
|
|
|
|
| Back to top |
|
|
LeoNatan
☢ NFOHump Despot ☢
Posts: 73196
Location: Ramat Gan, Israel 🇮🇱
|
|
| Back to top |
|
|
|
|
| Posted: Fri, 7th Aug 2009 11:00 Post subject: |
|
|
You can't compare complex numbers because when you work with complex numbers you aren't restricted to line from - infinity to + infinity, but you work in 2 or 3 dimensions...
Complex numbers are the basis of modern physics...
"Quantum mechanics is actually, contrary to it's reputation, unbeliveably simple, once you take the physics out."
Scott Aaronson | chiv wrote: | | thats true you know. newton didnt discover gravity. the apple told him about it, and then he killed it. the core was never found. |
|
|
| Back to top |
|
|
|
|
|
| Back to top |
|
|
|
|
|
| Back to top |
|
|
_SiN_
Megatron
Posts: 12108
Location: Cybertron
|
|
| Back to top |
|
|
|
|
| Posted: Fri, 7th Aug 2009 12:34 Post subject: |
|
|
| Reklis wrote: | thx but I still dislike the concept of "imaginary" numbers.
It's this "well, actually this doesn't work but let's just pretend we've got these numbers because then it could work..."
O.o that's just too abstract for me *shrug*
next topic |
well actually they weren't just 'invented' out of the blue sky. The mathematicians just 'upgraded' the number sets and when they saw: x^2+1=0 and the result was square root of -1, they were probably: Hmmm... now that's interesting... And the rest is history
But back on girl with ze big eyes topic: Yeah nice, big 'eyes' 
"Quantum mechanics is actually, contrary to it's reputation, unbeliveably simple, once you take the physics out."
Scott Aaronson | chiv wrote: | | thats true you know. newton didnt discover gravity. the apple told him about it, and then he killed it. the core was never found. |
|
|
| Back to top |
|
|
|
|
| Posted: Fri, 7th Aug 2009 20:56 Post subject: |
|
|
|
|
|
| Back to top |
|
|
|
|
| Posted: Fri, 7th Aug 2009 21:23 Post subject: |
|
|
Doesn't it say e^(i*pi)? Then check is on 0.002
|
|
| Back to top |
|
|
Hierofan
Banned
Posts: 3807
Location: Internets
|
| Posted: Fri, 7th Aug 2009 21:35 Post subject: |
|
|
| Atropa wrote: | | Doesn't it say e^(i*pi)? Then check is on 0.002 |
i'm seeing the same thing , and is it n=1 or n+1?
it it's n+1 then the sum is 0 |
|
| Back to top |
|
|
|
|
| Posted: Fri, 7th Aug 2009 21:36 Post subject: |
|
|
| Atropa wrote: | | Doesn't it say e^(i*pi)? Then check is on 0.002 |
True...
"Quantum mechanics is actually, contrary to it's reputation, unbeliveably simple, once you take the physics out."
Scott Aaronson | chiv wrote: | | thats true you know. newton didnt discover gravity. the apple told him about it, and then he killed it. the core was never found. |
|
|
| Back to top |
|
|
|
|
| Posted: Fri, 7th Aug 2009 21:55 Post subject: |
|
|
|
|
|
| Back to top |
|
|
spankie
VIP Member
Posts: 2958
Location: Belgium
|
|
| Back to top |
|
|
|
|
| Posted: Fri, 7th Aug 2009 23:28 Post subject: |
|
|
| spankie wrote: | man, has been a long time since i had loads of maths.
my high school math teacher explained it to me with the following example.
You take a chain and you fix the start and end of the chain. The distance between the 2 fixed points/length of the chain is a parameter in a formula that describes the curvature of the chain. And guess what, i is in the equiation (and not like in i^2  ) and you can convert it to tanh or sinh, cannot remember..
So it might appear invented for the fun, but there is value in it.
It is also used a lot to do complex sin and cos calculations by converting it to the e^i format and then simplyfying the equations. |
Loose chain is cosh, at leas the graph is, and as all trigonometry relations it can be represented with complex numbers.
It's great when teachers use something that is real and explain sth that can be very complicated, imo all things in school should be described that way...
"Quantum mechanics is actually, contrary to it's reputation, unbeliveably simple, once you take the physics out."
Scott Aaronson | chiv wrote: | | thats true you know. newton didnt discover gravity. the apple told him about it, and then he killed it. the core was never found. |
|
|
| Back to top |
|
|
|
|
| Posted: Fri, 7th Aug 2009 23:38 Post subject: |
|
|
why would you represent cosh with complex numbers when it's made of ordenary exponentials?
|
|
| Back to top |
|
|
|
|
| Posted: Fri, 7th Aug 2009 23:47 Post subject: |
|
|
Wait! Really  I confused it with cos and sin  my bad...
But still you have: Cosh[iz]=Cos[z], or you can say: Cosh[z]=1/2(e^x+e^-x), and then with every e^+-x put e^2 pi i
"Quantum mechanics is actually, contrary to it's reputation, unbeliveably simple, once you take the physics out."
Scott Aaronson | chiv wrote: | | thats true you know. newton didnt discover gravity. the apple told him about it, and then he killed it. the core was never found. |
|
|
| Back to top |
|
|
|
|
|
| Back to top |
|
|
|
|
| Posted: Sat, 8th Aug 2009 00:20 Post subject: |
|
|
well z=x+iy, but also x=r cos[theta] and y=r sin[theta], so z=r(cos[th]+i sin[th]). r is also |z|, and we all know that cos[th]+i sin[th]=e^(i th).
Thus z=|z| e^(i th)
Voila!
"Quantum mechanics is actually, contrary to it's reputation, unbeliveably simple, once you take the physics out."
Scott Aaronson | chiv wrote: | | thats true you know. newton didnt discover gravity. the apple told him about it, and then he killed it. the core was never found. |
|
|
| Back to top |
|
|
|
|
| Posted: Sat, 8th Aug 2009 00:28 Post subject: |
|
|
Sorry if it's obvius but how does that explain : Cosh[z]=1/2(e^x+e^-x)
unless you just miswrote it :/ (z=x)
|
|
| Back to top |
|
|
ixigia
[Moderator] Consigliere
Posts: 65077
Location: Italy
|
|
| Back to top |
|
|
|
|
| Posted: Sat, 8th Aug 2009 00:52 Post subject: |
|
|
z=x... I tend to lose myself in variables
"Quantum mechanics is actually, contrary to it's reputation, unbeliveably simple, once you take the physics out."
Scott Aaronson | chiv wrote: | | thats true you know. newton didnt discover gravity. the apple told him about it, and then he killed it. the core was never found. |
|
|
| Back to top |
|
|
|
|
| Posted: Sat, 8th Aug 2009 01:17 Post subject: |
|
|
Last edited by Yondaime on Mon, 2nd Dec 2024 16:01; edited 1 time in total
|
|
| Back to top |
|
|
| Page 141 of 2626 |
All times are GMT + 1 Hour |
