Thank you very much! You are absolutely right!
let ## G = \frac{dF}{dt} = \sum\frac{\partial F}{\partial q_i}\dot{q_i}+\frac{\partial F}{\partial t}##;
Substitute it into Lagrange's Equation
## \frac{\partial G}{\partial q_i} - \frac{d}{dt}\frac{\partial G}{\partial \dot{q_i}}
=...
Homework Statement
I have a problem regarding to lagrangian.
If L is a Lagrangian for a system of n degrees of freedom satisfying Lagrange's equations, show by direct substitution that
L' = L + \frac{d F(q_1,...,q_n,t)}{d t}
also satisfies Lagrange's equations where F is any ARBITRARY BUT...
Hi,
Does anybody know how I can let Mathematica show the origin point when plotting?
Usually, it labels the axes with numbers but not the origin. I have to use Tick{} to let it show origin. But who knows how I can have it show automatically?
Thank you.
Hi,
I would like to know if there is a command in Matlab or Mathematica or Maple, which shows the area of a closed curve.
For example, find the area enclosed by a circle, x^2+y^2=1.
I wish I could use a command like "SOME_AREA_COMMAND[x^2+y^2=1]" and it can give me the answer Pi.
I know I...
The question is not well defined. You can see lightning because it flashes, and you see the light. In the air, the frequency of light can be distinguished by its color. Typically, the flash contains a wide spectra (frequency width), it is almost impossible to see the destructive or constructive...
Two waves are always either constructive or distructive, if you can measure them fast enough.
If they do not have the same frequency, or similar, the constructive or distructive patten changes (the changing rate denpending the difference between the frequencies). That's why you cannot see a...
Hi, all.
I am doing an inverse Laplace transform and meeting some difficulty.
InverseLaplaceTransform[1/(Sqrt[s]+a)].
Using Mathematica I found the result, however, I failed to prove it. I know it should be like
\frac{1}{2\pi i}\int_{\gamma-i\infty}^{\gamma+i\infty} \frac{1}{\sqrt{s}+a}ds...