Homework Statement
Let V be a n-dimensional real vector space and L: V --> V be a linear operator. Then,
A.) L can always be diagonalized
B.) L can be diagonalized only if L has n distinct eigenvalues
C.) L can be diagonalized if all the n eigenvalues of L are real
D.) Knowing the...
Can magnetic fields be polarized like light? I heard sometime ago that light can be rotated about the horizontal axis by some theta. Is it possible to rotate it far enough that it becomes a magnetic field? If so, can you regain the light field?
I have to write a routine that reads in csv data and appends it in an xml template and saves it. I am not allowed to use C# or C++. It must be in C. I am running it on a Sun machine. Our team has come up with the reader for the nodes of the xml. I've checked several websites looking for example...
Thanks Rock. I got confused with the solution given to me. It showed taking the root of 10 gives some kind of rational number. I was so lost. At least I know where I was messing up. Thanks.
Homework Statement
2 cos x + tan x = sec x
Homework Equations
I can move terms around with identities, but I'm stuck with the partially solved equation below. I don't know how to solve a quadratic with weird terms. I got really far. But how do I show sin x?
sin x = (-1 +- sqrt...
Thank you all. Hootenanny, that is what I was looking for, the mathematical verbage. So, the difference between 'maps to' and 'determines' is one is already in place while the other is being fleshed out?
What symbol is a small vertical bar with an arrow? I know a plain arrow is "determines". Is there a good site that lists the vocabulary of mathematicians?
Am I understanding this right that the charged-ness, the turned on position, of the Higgs field is a consequence of the symmetry? Or is it the breaking? In other words, when is the charged under property activated? When I hear talks about scalar fields, I envision something like a sea of speeds...
Let me explain it in my own words what I think you said. Symmetry happens with every fresh region of the universe being created as it expands. In the expansion, Higgs field is the first to break. In some ways, I picture the Higgs field like the curtain covering the grainy constituents ready to...
I apologize to the readers. I should have read farther down the list to see some other posts on this subject. I gathered that somewhere within the symmetry a breaking happens. Is the breaking the responsible property for the scalar characteristic? I have a feeling I'm confusing terms which is...
Why is the Higgs field a scalar field? I understand if it is one, it will have no spin and no angular momentum. But understanding that a particle is a scalar seems to me a leap of faith. What am I not getting?
Thank you, Chronos. I am naively familiar with that idea. I was trying to describe many events that are a part of time dependence and transcend it. I guess I did it poorly. Correct me if I'm wrong, but time has no observational importance below h and faster than c. To a particle for all...
I wonder if anyone has heard of this new (perhaps decades old?) idea I stumbled on. The matter that falls into an event horizon is quickly absorbed. Everyone knows that. But the key difference is what happens later.
Underneath the energy barrier, the matter that is consummed is distributed...