Homework Statement
The rear window in a car is approximately a rectangle, 1.3 m wide and 0.30 m high. The inside rear-view mirror is 0.62 m from the driver's eyes, and 1.58 m from the rear window. What are the minimum dimensions for the rear-view mirror if the driver is to be able to see the...
Homework Statement
Considering the periodic boundary conditions (given below) I am supposed to find the solution T(x,t) with the initial condition T(x,0)=\delta(x) Also I am limited to use method of images so I can't use separation of variables unfortunately.
Homework Equations
The boundary...
Homework Statement
\Omega = \left{ \left( x,y,z \right) :,0<z<1 \right}
Need to find Green's function using the method of images.
Homework Equations
none
The Attempt at a Solution
I can see that I will need an infinite sequence of images at each plane z = k, k = 0, +/- 1, +/- 2,... to...
Messenger has sent back new pictures of Mercury.
http://www.nasa.gov/mission_pages/messenger/multimedia/index.html
The first 4 pictures in the table were relayed back yesterday.
A grounded & conducting spherical shell of outer radius M and inner radius N has a point charge Q inside the shell at a distance r<M from center. Using method of images, find the potential inside the sphere.
Could I just use the superposition of charge and point charge?
\phi(r) =...
http://answerboard.cramster.com/other-topic-5-311900-0.aspx"
I need help getting some ideas for an example of a function.
Any help, ideas, suggestions, and/or tips are greatly appreciated.
Thanks for looking at this question!
How do I describe the image of a function like.
f(z) = (z-i)/(z+i) given that the length of z is equal to one. The domain is the unit circle.
Is the best way just let z=x+yi and then see what comes out? Or is there a simpler way of doing it.
I was sitting with my girlfriend yesterday and we were looking at videos of comets and meteorites because I wanted to show her the schumacher levy 9 impacts, that she had never heard of! :bugeye: :cry:
Then we kind of did some link following which went a little like this: Comets, meteorites...
Homework Statement
Given an infinitely long wire, with charge density \lambda, parallel to and a distance d above an infinite, grounded, conducting sheet, what is the potential, V(x,y,z) above the sheet?
What is the induced charge on the sheet?
Homework Equations
The Attempt at a...
I have never understood how images are reflected in mirrors, even now that I am going into my fourth year of university I have some really basic (probably stupid) questions that I need to ask.
When an word is reflected in a mirror, why do the letters appear reversed but the word doesn't (the...
No one thought something useful could be learned on 4chan, until now.
http://orz.4chan.org/hr/res/381892.html
Apparently renaming a file (such as an .mp3) to .raw and then saving it (using IrfanView or Photoshop) to PNG will allow you to retain the useful information in the image file...
A coherent fiber bundle is very useful in transmitting images. Let's say we have a gaussian beam from a laser as our source. Now the acceptance angle(2*alpha) is determined from the location of the beam waist, right? The light ray will then go down the fiber core with the use of a converging...
Homework Statement
this is a 2 part problem
let G: T-----> (Sigma) be the gaus map of the torus T derived from its outward unit normal U. What are the image curves under G of the meridians and parallels of T? What points of (Sigma) are the image of exactly two points of T?
And
Let...
1. An object is placed in front of a converging lens in such a position that the lens (f = 11.0 cm) creates a real image located 27.0 cm from the lens. Then, with the object remaining in place, the lens is replaced with another converging lens (f = 19.0 cm). A new, real image is formed. What is...
The setup is: Suppose that we have a point charge q held a distance d from an infinite, grounded, conducting plate. Let the plate lie in the xy-plane, and suppose that the point charge is located at coordinates (0, 0, d). What is the scalar potential above the plane?
The solution to this...
Hi,
As is the case with functions, we can always define the inverse image of a subset. In the case of schemes I was wondering if there is something that could be taken as the inverse image of a subscheme?
Example:
Let f:X->Y be a scheme morphism. Then if U is an open subscheme of Y, we...
[SOLVED] wrapping text around images
I am using the above instructions to put images in my latex articles. However they take up a lot of space. How can I make the text wrap around them?
Hi, I am new to LaTeX and am having trouble putting images up on a document; I am using TeXnicCenter (in it u can use .jpg or .pnp files aprently but not .ps). i use
\usepackage(graphicx)
...
\insertgraphic(sample.jpg)
which I thought should be enough to display the image. compiling...
I'm doing a presentation for coursework, and would like to include some figures which are in other papers (on my computer in PDF format). What is the best way to get one of these images and include it in my document (latex)? I can just select it and copy/paste to an image file, but is there a...
[SOLVED] Forming Images with a Plane Mirror
Homework Statement
(a) How rapidly does the distance between you and your mirror image decrease if you walk directly toward a mirror with a speed of 4.7 m/s?
(b) Repeat part (a) for the case in which you walk toward a mirror but at an angle of...
Homework Statement
I need help with this general question. Why is it impossible to focus a virtual image on a screen, ( object is placed between F and lens).
Homework Equations
this experiment we had a candle on one side, a converging lens in the middle, and at the other end a screen...
Homework Statement
Show that there exists no smooth function f : \mathbb{RP}^2 \rightarrow \mathbb{R} \text{ such that } f^{-1}(q) = \mathbb{RP}^1 for some regular value q of f.
2. The attempt at a solution
So we can quite simply show that \mathbb{RP}^1 is a submanifold of...
Hi guys,
I was just wondering if any of you knew if there have been any programs that have been written by people to perform character recognition in an image file. That is, you have an image of written text and you want to somehow recognise and extract characters. So for example, if you had...
Hey folks,
I plan to use a figure from a paper (Hubble diagram for type 1a supernova demonstrating accelerated expansion).'
I'm want to put the image in a \LaTeX document. Of course, I could use the Snapshot tool in Adobe reader and then grab the image and import into photoshop say then...
In Fortran I need to output some data as a bitmap image, to visualise results. Problem is, with every WRITE statement it seems to append some unwanted bytes before and after the data itself. I have found out that these are called record delimiters, but I want to turn these off. How?
Hello. I would like to share some images taken by the Mars Express
spacecraft .
Please click on the links below.
Thanks.
http://www.marsesa.9f.com/slide_show.html
Source Image:
http://esamultimedia.esa.int/images/marsexpress/306-230906-3253-6-co2-Cydonia_H.jpg
[SOLVED] basic proof about inverse images of sets
Homework Statement
let f map X onto Y, and let A be a subset of X, B subset of Y
1) Prove that if y is in B, then f^(-1) (y) is in f^(-1) (B)The Attempt at a Solution
1) I think I'm missing some two-line proof, because I'm getting nowhere...
Homework Statement
If I e.g. want to find the kernel and range of the linear opertor on P_3:
L(p(x)) = x*p'(x),
then we can write this as L(p'(x)) = x*(2ax+b). What, and why, is the kernel and range of this operator?
The Attempt at a Solution
The kernel must be the x's where L(p'(x))...
Homework Statement
Two parallel mirrors that face each other are placed along and perpendicular to the x-axis at x = +11.00 m and x = -11.00 m. Assume that a point source of light is placed on the axis at x = +2.70 m. In principle, there will be an infinite number of images generated...
Homework Statement
Two parallel mirrors that face each other are placed along and perpendicular to the x-axis at x = +11.00 m and x = -11.00 m. Assume that a point source of light is placed on the axis at x = +2.70 m. In principle, there will be an infinite number of images generated...
Homework Statement
f(z) = (z+1)/(z-1)
What are the images of the x and y axes under f? At what angle do the images intersect?
Homework Equations
z = x + iy
The Attempt at a Solution
This is actually a 4 part question and this is the part I don't understand at all really.
The...
Hi,
So, I'm confused about the difference between real and virtual images. Let's use a concave mirror for example. I understand that a real image is formed when the actual light rays reflect off the surface and converge to one point. A virtual image is formed when the rays don't themselves...
I don't know if this is the forum to write this, but I would just like to give firstly some encouragement to the moderators of Physics Forums : you are doing a great job! This is a remarkable resource.
I have subscribed to several of the RSS feeds for the forums, which I find very handy...
I'm reading about the method of image charges at
http://en.wikipedia.org/wiki/Method_of_image_charges
The page describes a charge located above a single conducting surface. What happens if the charge is between two conducting surfaces? Does the bottom plate, along with the imaginary...
Homework Statement
Prove that if T is a linear transform, and vectors v1,..., vn are linearly dependent, then Tv1,...,Tvn are linearly dependent
Homework Equations
The Attempt at a Solution
I tried this:
Assume A1v1 + ... + Anvn = 0, where all Ai are scalars.
Taking the...
The method of images exploits the fact any linear combination of solutions to a differential equation is also a solution, and the fields and potentials from a point source satisfy all relevant diff eq's, assuming the boundary conditions are met.
However, a scalar multiple of any solution is...
Consider a matrix A, and let B = rref(A).
Is ker(A) necesarily equal to ker(B), and is im(A) necessarily equal to im(B)?
I want to say that the answer to both questions are yes because A and B are the same matrix, i.e. there are a finite number of elementary operations that can change A to...
How does the method of images work? I can see why it works (by going back to the form of the Green function and differentiating) but don't see how useful it is
to solve problems. At the moment I am basically memorising the different
images for each boundary condition which I am sure is not the...
A virtual image is formed by a convex mirror that has a 30cm focal length. Where must the object be placed if the image is to be half the size of the object?
I know that since the mirror is convex F is negative (F is the focal length). Useful equations are 1/Do + 1/Di = 1/F, where Do is...
I need some help guys with this one. Say you have two mirrors like in the image below, with some angle phi between them. The question is how many images would be formed if the angle between them changed to 20, 30, 40, 60, 90, or 0 degress. Is there some sort of equation that will give you this...
Dear all,
I have some difficulties in understanding to use the method of images to solve Poisson's/Laplace's equation with boundary values.
I understand that the Uniqueness theorem(s) enables this method. In this method we use image charges and setup a different configuration without...
Homework Statement
Consider a matrix A, and let B = rref(A)
(a) Is ker(A) necessarily equal to ker(B)? Explain.
(b) Is im(A) necessarily equal to im(B)? Explain.
Homework Equations
The Attempt at a Solution
I feel confident saying yes for (a) and no for (b), and what I can...
Homework Statement
To conducting planes are placed at an angle 60 degrees to each other. A point charge q is placed on the line bisecting this angle at a distance a/2 fro each plane. Find the image charges and the resulting potnetial
Homework Equations
V(0,0) = 0
V(x,0) = 0...
I've got a sequence of illustrated images that I want to run as an animation. What is an easy shareware way to do this? (It is a simple cell animation sequence that I once did.)
I've got a gif animator program but my images are large and plentiful (say, 320x240 x 100 frames).
Homework Statement
An infinite conducting sheet has a hemispherical bubble of radius a. (Refer to the diagram)
2. The attempt at a solution
ok i know the boundary conditions should be (Phi refresents the potential)
And we are working in CGS units... units with which i am not entire...
Hey, I was wondering what's the best way to generate mathematical images?
I was really hoping of creating a few really high resolution ones and popping down to the print shop to have them printed out. But I have a couple of problems:
1) How do I go about generating a mathematical image...
Electromagnetics - Method of Images ?
Hello all, I am in the process of preparing for a entrance examination. In the course of studying I came across this problem that I just can not figure out. Here it is:
A perfectly conducting plane is located in free space at x=4, and a uniform inifinte...