@DHMO I suppose just energy, considering their equivalence
I'm still confused on the whole Big Crunch stuff
@Slereah Is it solely dependent on the mass density of the universe being greater than $\rho_{\text{crit}}$, or can it be influenced by the existence of phantom energy, etc.?
I'm trying to develop a function which 3D plot would have a buttocks like shape.
Several days of searching the web and a dozen my of own attempts to solve the issue have brought nothing but two pitiful formulas below.
They have some resemblance to the shape I want, though not quite.
Could you...
If you look through binoculars at something (e.g. a bird), then will the image at your fundi (bottom of your eye?) be upside-down or does it depend which side of the binocular you watch look through?
@ThomasTom Image on the retina is the inverted image of what you "see". This diagram <http://archive.cnx.org/resources/3544a449315d495866eecc596e6f8558e3d41409/PG11C3_028.png> might help
Thanks! But I got a two more questions. If you are in for example a transparent aquarium filled with water, looking at some object through the aquarium wall, will the object be bigger or smaller? And the second question is that if you place an object right at the focus of a convex lens, where will the image appear. I think it will be either at the double focus length, between the lens and the object, or also at the focus, but on the other side of the lens?
@anonymous not really. I think I could solve a basic problem in classical mechanics, but it would take me a lot of time and the method would be highly inefficient
Its been five years since the last time I added two forces, I dont remember any of that
Could some one tell me that when a charge q is kept at certain distance from a plane , one side of the plane of gets -q induced charge and the other side gets +q. So the force on an arbitrary charge kept in space in between our charge q and the plane should be only due to our charge q since force due to opposite induced charges cancel . But by the method of images we get a force due to both our q and induced -q. Is it because the plane is grounded and the induced +q flows to the ground.
What i don't understand is that, is conservation of energy just something that is observed or is it derived from mathematics?
Wikipedia says something like this: "The conservation of energy is a common feature in many physical theories. From a mathematical point of view it is understood as a consequence of Noether's theorem, developed by Emmy Noether in 1915 and first published in 1918."
In calculus, Leibniz's rule' for differentiation under the integral sign, named after Gottfried Leibniz, states that for an integral of the form
∫
y
0
y
1
f
(
x
,
y
)
d
y
{\displaystyle \int _{y_{0}}^{y_{1}}f(x,y)\,\mathrm {d} y}
...