Talk:06-240/Homework Assignment 1: Difference between revisions

From Drorbn
Jump to navigationJump to search
No edit summary
m (Reverted edit of 62.231.243.138, changed back to last version by Wongpak)
 
Line 28: Line 28:
You seem unhappy, but I actually meant what I said. The equality <math>a^3=1</math> in a general field does not imply the equality <math>a\neq 1</math> --- why would it? After all, <math>a^2=1</math> does not imply <math>a\neq 1</math> either. Here are two examples for fields in which there is an <math>a\neq 1</math> for which <math>a^3=1</math>:
You seem unhappy, but I actually meant what I said. The equality <math>a^3=1</math> in a general field does not imply the equality <math>a\neq 1</math> --- why would it? After all, <math>a^2=1</math> does not imply <math>a\neq 1</math> either. Here are two examples for fields in which there is an <math>a\neq 1</math> for which <math>a^3=1</math>:
# Our field and our <math>a</math>.
# Our field and our <math>a</math>.
# The complex numbers <math>{\mathbb C}</math> and <math>a=-\frac12 \frac{\sqrt{3}}{2}i</math>.
# The complex numbers <math>{\mathbb C}</math> and <math>a=-\frac12+\frac{\sqrt{3}}{2}i</math>.
--[[User:Drorbn|Drorbn]] 17:38, 24 September 2006 (EDT)
--[[User:Drorbn|Drorbn]] 17:38, 24 September 2006 (EDT)



Latest revision as of 02:16, 16 June 2007

What information should be included on the homework assignments besides the answers to the assignment? Is student name, Math 240, Homework Assignment 1 and date sufficient? MC

Yes. --Drorbn 14:50, 15 September 2006 (EDT)

Q4

i have a question on Q4. for the part a^-1=a^2, if it's true, then a*a^2=1, which makes a=1....but a can't be 1 right?

I don't see why implies . --Drorbn 06:16, 22 September 2006 (EDT)

because , if ab=1, why shouldn't ?

But what's wrong with that? --Drorbn 17:16, 22 September 2006 (EDT)

Finally I'm registered.....ok, if , then a=1,but a field cannot have identical elements.....or can it?.........btw why is your name shown here but mine not?...never used a wiki based site....

Repeat: I don't see why implies . --Drorbn 03:24, 23 September 2006 (EDT)

er....since , or am I right about ?....and what makes except a=1?...sorry but please tell me where I got wrong.........

Well, OUR very own field has an element for which yet ... --Drorbn 17:08, 23 September 2006 (EDT)

ok.....that's....very...convincing......I'll shut up...

You seem unhappy, but I actually meant what I said. The equality in a general field does not imply the equality --- why would it? After all, does not imply either. Here are two examples for fields in which there is an for which :

  1. Our field and our .
  2. The complex numbers and .

--Drorbn 17:38, 24 September 2006 (EDT)

Actually I guessed it had something to do with the field. But this concept is still new to me, I just can't convice myself a is not 1 when a*a*a=1...But that example of complex numbers is indeed very convincing....thank you for your patience :)

Assigment 1 Solution

I would appreciate if you may notify for any error. Assignment 1 Solution--Wongpak 08:28, 26 September 2006 (EDT)