Suppose the dielectric material is fixed in position and filling the capacitor, and you would have this term in the way of calculating something.
\int\nabla\cdot\left[\left(\Delta{D}\right){V}\right]{d}\tau
where D is the dielectric displacement
Now that turns into (by divergence...
Suppose the dielectric material is fixed in position and filling the capacitor, and you would have this term in the way of calculating something.
\int\nabla\cdot\left[\left(\Delta{D}\right){V}\right]{d}\tau
where D is the dielectric displacement
Now that turns into (by divergence...
Thanks all for your kind replies. I'm currently in the United States and I'm trying to go to graduate school in US as well. The reason why I am asking if there is a list for the Graduate school that offers master's degree is because I want to get good grades and results during my Master's degree...
You can also derive the formula that you need.
Here is an alternative way to solve this problem. This will help.
Given that the acceleration is 9.8 m/s^2 we know that
\ddot{x}=9.8 m/s^2
and given that the initial velocity is 12 m/s, we can get
\dot{x}=9.8t + 12
and finally...
I am an undergrad physics student, and it took me about a month to review those two books over this summer preparing for GRE. It should be plenty of time, and it sounds like a good idea. =)
It depends on the initial height where the balls are dropped and thrown and the velocity (speed & direction) of the ball thrown downward. If you meant throwing the ball in the direction perpendicular to the horizontal ground, you can calculate how fast you should throw the ball downard by using...
If a matrix A is given, you probably already had learn that you can set a matrix A as A=QDQ^{-1}
where Q is an appropriate matrix and D is a diagonal matrix.
Now A^{n}=(QDQ^{-1})(QDQ^{-1})\cdots(QDQ^{-1})
=QD^{n}Q^{-1}
It should be pretty straight from this point.
I hope it helped =)
I assume that you know what mean free path is so here is the basic formula for the mean free path:
l=\left(\sigma n\right)^{-1}
where l is the mean free path, n is the number of target particles per unit volume, and \sigma is the effective cross sectional area for collision.
From this I...
Of course they don't teach difference quotients to 12 years olds. But, they do teach how to plug in values into functions.
I didn't mean to criticize or anything. I was just saying that you don't have to think of this problem in a hard way, because all you need to do is just plug in the value...
This is a very straight forward problem.
All you need to know is that you get a velocity when you integrate acceleration respect to time.
After that, it's all algebra. plug-in, and solve for t.
This is the very basic thing you should know before you learn derivatives in Calculus. This is just a simple plug-the-value into the function. That means you change x's in function f(x) into x+h to transform the function into f(x) into f(x+h).
Give it a try again. You should be able to do...
Homework Statement
Let \mathrm{V} be a vector space. Determine all linear transformations \mathrm{T}:V\rightarrow V such that \mathrm{T}=\mathrm{T}^2.
Homework Equations
Hint was given and it was like this:
Note that x=\mathrm{T}(x)+(x-\mathrm{T}(x)) for every x in V, and show that...
The 0 to a integration seems to be correct.
The a to b integration seems little bit weird. The approach that you did by using the integration by part can lead you to the answer.
A^2 \int_a^b \frac{x(b-x)^2}{(b-a)^2} dx = \frac{A^2}{(b-a)^2} * (\frac{-x(b-x)^3}{3} - \frac{(b-x)^4}{12})...
Linear Algebra. spans!
Homework Statement
The Problem:
Let S_{1} and S_{2} be subsets of a vector space V. Prove that span\left(S_{1}\cap S_{2}\right)\subseteq span\left(S_{1}\right)\cap span\left(S_{2}\right).
Give an example in which span\left(S_{1}\cap S_{2}\right) and...
Yes. so that means span\left(S_1\cap S_2) equal to a zero set \left\{0\right\}?
And since both span(s_1) and span(s_2) are subspaces of V, they both have a zero set as well, so span(s_1)\cap span(s_2) also should be a zero set. That meas they are equal. I didn't get your answer... Sorry
The Problem:
Let S_{1} and S_{2} be subsets of a vector space V. Prove that span\left(S_{1}\cap S_{2}\right)\subseteq span\left(S_{1}\right)\cap span\left(S_{2}\right).
Give an example in which span\left(S_{1}\cap S_{2}\right) and span\left(S_{1}\right)\cap span\left(S_{2}\right) are equal and...