In my class notes, I have two theorems which don't quite seem to fit together. Maybe you can help me out.
Thm 1 If p(x) in F[x] splits in K, then E=F(a1,...,an) is the splitting field of p(x) in K (the a_i's are the roots of p(x)).
Thm 2 If p(x) in F[x], then the splitting field of p(x) is...
Hi,
Could anybody describe a procedure for splitting a matrix using a choleski method?
Could anyone show this on a simple example:
Let's say we have a matrix A:
[2 1 0 0]
[1 2 1 0]
[0 1 2 1]
[0 0 1 2]
and matrix b:
[1]
[0]
[0]
[1]
How to get x:
Ax = b
using abovementioned method?
Recently in Chemistry we have been doing about how it is possible to identify carbon compounds by how many proton environments there are around a molecule.
For this we look at graphs with various peaks dotted around them, this is not what bothers me, what bothers me is that some of these peaks...
will somebody smarter that me please tell me how this works.
okay, here goes.
experiments done in the yesteryear told us that if a photon was split (?) the two
parts would act as if they were still together.
is this correct?
this is the first part of my question. i'll get on to the...
Hello.
I remember a problem I had with drawing a splitting tree for nitrotoluene. The coupling constants varied, you know, para, meta, ortho, they were all different. My teacher told us to assume certain values for each. What I don't understand is how a proton in nitrotoluene (or even toluene...
limn-->oo(x2n-1)/(x2n+1)
I can't figure this one out. I've tried everything. I tried splitting the fraction into two, applying a log to each side, factoring the top, dividing by x2n, and Lhopitals rule doesn't apply and wouldn't help if it did. Any ideas?
"But after a few minutes, a couple cigarettes and several deep breaths, he sat in the basement of a storefront tattoo parlor, closed his eyes and let a friend split his tongue down the middle with a scalpel...his tongue was clamped in place, numbed and slit 2 inches (5 cm) up the middle, looking...