Numbers and Subfields

Bryce Bolin

 
 
7..7 (a)

 

There exist no subfield K of C with R ⊂ K ⊂ C and R =/= K =/= C.


a,b € R

a+b € R, K,C, as defined for the confines above with R,K and C being fields.

      b(i)= bi

 (a) + bi = a + bi

a + bi € C, K but not for R

So with R  ⊂ K ⊂ C, it is not possible for K to be a subfield of C.

Dim[ C : R ] = 2  A proper subfield K would have to have dimension d over R with d dividing 2.  d = 1 => K = R.  d = 2 => K = C.

Suck cock and die.

C is complex. R is real.

>>2
FRACTALS FRACTALS FRACTALS FRACTALS FRACTALS

>>4
Fractals aren't fields.

>>5
However, fields are fractals.

1+1=5

2+2=4

3+3=3

The word pirahna, is all I can think of that rhymes with marijuana

Marijuana MUST be legalized.