Recent content by PhysicsHelp12

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i figured it out thx

thanks Shredder: I have no idea how to prove that I've been trying for an hour

Hi so this isn't homework its in my book , i just don't get it they skipped this step Let R=Z(i) be the ring of gaussian integers and let A=(2+i)R denote the ideal of all multiples of 2+i Describe the cosets of R/A im just having trouble understaning this step: "Since 2+i is in A we...

I know how it should look -its a plane -then I get 3 lines y=x y=x z=-y ... but when I try to draw them ...I can't see the plane

actually I can easily visualize the first 5 planes in my head, but when i try to combine the last one it creates confusion and I can't do it ... y+z=x ...idk how to draw or visualize something like this

I really can't draw at all, so usually i just imagine the figures in my head and then do it and then I usually imagine a slice perpedicular to some axis (eg x) take the double integral T (x) over the slice and then integrate that over x. The Region is bounded by the siz planes z=1...

Construct an isomorphism A4 (AND) D4 ---> (Z/2,+)X(Z/2,+) where D4's the symmetries of the square so I found D4(And)A4={(13)(24),Id,(12)(34),(14)(23)}

If you have a permutation writtein disjoint cycle notation ( I attatched it ) what's the minimum positive integer k such that t^k =Identity t is tau

Let Pn be the statement : any postage of n >= 2 cents can be made of 3-cent and 2-cent stamps. What is wrong with the following proof of Pn by induction? How can it be fixed without changing the induction step much? Base case : 2 = 2 and so P2 is true. Induction step : Fix some n >=2...

Ok thank you

I think I do just see it ... so then that's normal? I only do the intermediate step becaue I thought it was proper to do

Ok, yea so it's better to just 'see it' and if I can't then do that middle step? is that normal then

Ok, do you 'decorate' it that way ... or what do you do in your head?

Ok, I actually like it SOMETIMES but I only see how to use it for crossing off *common factors* now when I am doing exponents like a^m/a^n (as the second picture I posted) am I the only one who multiples it up first when there's things like that?