I have been studying gradience; divergence and curl. I think i understand them in cartesian coordinate system; But i don't understand how do they get such complex stuffs out of nowhere in calculating divergence in spherical and cylindrical coordinate system. Any helps; links or suggestion...
horizontal velocity is constant = v_{x}=v_0 cos(53°)
horizontal distance covered at any time t is S_x = v_{x}× t = v_0 cos(53°)×t
which gives time to cover S_x( = 25) = \frac{25}{v_0 cos(53°)} =t
initial vertical velocity v_y = v_0 sin(53°)
vertical distance traveled 12 = v_0 sin(53°) ×t -...
Homework Statement
The problem is to find the integral of function \frac{1}{x} using the definition i.e the area under the curve as a limit of a sum?
Homework Equations
\int_a^b \frac{1}{x} dx = ln(\frac{b}{a})
The Attempt at a Solution
I tried with dividing the interval...
To physically interpret what zero gradiance of vector field is; you first have to be able to physically interpret what gradience of a vector field actually is.
A vector point function assigns every point in a coordinate space with a vector. So consider such a vector field; the velocity of...
This is where I have a problem in understanding.. How can 99 electrons make it all the way to the other side? Shouldn't they be resisted by the reverse biased voltage? And how do we get large positive Vcb??
Conduction in reverse biasing too?? Is it the case with transistor??
I have a mechanical analogy of diode in which a socket is provided with a one way valve. (figure 1st below). The arrow inside the circle shows the direction of motor pump. When there is enough pressure to lift the valve...
For a mass distribution of a rigid body we can calculate the moment of inertia of that mass distribution about any axis (around it- [within it as well]). The moment of inertia differs for the same mass taken through different axes.
Suppose we have calculated the moment of inertia of a mass...
I'm sorry for the second revision i posted. I had actually typed float b; in the third line of my function not int b.
I now know what the problem was. Thank you very much for the solution. It really helped me.
Thank you! This change worked fine.
I tried to figure out the error and checked the value of 'n' after each function call and thought there might have been changes in the value of 'n' within the recursive function call. So i tried to preserve the value of 'n' by creating another variable 'b'...
The actual legendre's polynomials are
for n = 0 1
for n= 1 x
for n = 2
for n= 3
for n =4
and so onif n= 2 and x= .1 the output must be -0.485 but my recursive function gives 0.01 which is wrong
Bonnet’s recursion formula for Legendre polynomials is
P(n,x)=1 for n=0
P(n,x)=x for n=1 and
P(n,x)= (2n-1)/n*x*P(n-1,x)-(n-1)/n*P(n-2,x)
I tried to write recursive function in C to calculate the value of polynomial for a given n and x
float legpol(int n, float x)
{...
Phase describes how are particles oscillating.
Lets simplify this with a particular case in which a particle is describing SHM about a horizontal line. It will oscillate with certain amplitude (say A) . At any instant it will have displaced certain distance from its mean position (say x; -A...
Until today I learned in geometric optics that
Object distance +ve for real object else -ve
Image distance +ve for real image else -ve
Radius of curvature +ve for if light comes to the surcace from the side lying center of curvature else -ve
On the basis of this the lens formula...