Is there an accepted term for the symmetric counterpart of a matrix element? Tried searching the web but didn't really seem to find such a term mentioned anywhere.
I was reading Strogatz's book on nonlinear dynamics and chaos and in Example 7.2.2, he stated the energy function of the nonlinear oscillator
\ddot{x} + (\dot{x})^3 + x = 0
as
E(x, \dot{x}) = \frac{1}{2} (x^2 + \dot{x}^2)
But isn't this the energy function for the harmonic...
I think the OP is referring to unfalsifiable theories a la the matrix. Biological limitations in trying to perceive nature the way it actually is. The universe could be created a second ago for all we know.
I am not sure what cross section you are trying to find but...
an angle is the ratio of the length of the arc to the radius, similarly, the solid angle is the ratio of the area subtended to its radius squared. The area of a part of a sphere is
S=\int\int r^2 \sin{\theta} \, d\theta d\phi
...
If we do not know what these tests measure other than how well you do on iq questions, then isn't it stupid to take the tests and infer conclusions from the results?
It is quite obvious that presently there are a lot more men than women in science and math and it used to be worse in the past. I think there are a lot of factors in play here, like maybe gender discrimination still has a huge role to play in what society expects of women.
How many of physics's greats were child prodigies? It's still too early to tell if he will amount to anything (relative to the most influential of physicists). Of course being a child prodigy in math is a different story.