Image Definition and 996 Threads

Are the following functions \mathbb{R}^2\rightarrow\mathbb{R}^2 diffeomorphisms. If not is there an open set containing the origin on which the function is a diffeomorphism to its image? 1. (x,y)\mapsto(x+y^3, y) 2. (x,y)\mapsto(x+x^3,x) I have the definition of a diffeomorphism...

Check this out! http://www.docbert.org/MP/ :bugeye:

Homework Statement 2. An object is placed two focal lengths from a diverging lens. What type of image forms? What is the magnification? Where is the image? Homework Equations 1/f = (n-1)(1/r1-1/r2) The Attempt at a Solution a) Virtual Image b) m = 1 c) the image is on...

Normally we see a virtue image after light from the object reflects off a mirror. We then trace back to behind the mirror to a point where the virtue image came from. A real image is seen when light from the object projecting the image reflects off a screen or mirror and we see it with our...

Homework Statement Two semi-infinite grounded plane conductors that intersect at the origin, with an angle of 60 degrees between them. A point charge of q is located some distance from the origin, and bisects the angle between the two conductors, where would the image charges be and what...

I have successfully constructed a prismatic telescope with a fairly sharp, erect image. However, I was disappointed to discover that the image was vertically flipped! That is, in real life, there would be a car on the left and a man on the right. When looking through the telescope, the...

In what ways has the Bush administration damaged the US image abroad; potentially having made the world a more dangerous place? http://www.pbs.org/newshour/bb/middle_east/july-dec06/turkey_11-27.html

Question An object is a distance of 23.4 cm from the center of a silvered spherical glass Christmas tree ornament which has a diameter of 5.70 cm. A What is the position of its image? B What is the magnification of its image? I think the object can be treated as a convex mirror. s...

This one is fun. http://www.queendom.com/mindgames/mindstretching/iq_quizzes/iq-quiz19.html Results of your quiz You answered correctly 4 out of 5 questions. This is equivalent to 80 %. Your grade is A

Hi all, Does anyone of you know the ways in which dose administered to a patient can be minimised while still obtaining a useful X-ray image ?

we used a concave mirror and a candle for an experiment when the candle wa placed between the vertex and the focus of the mirror (f=12.7cm) a virtual image appeared behind the mirror. We measure the image distance approximately by pointing a finger towards where the image might be and got...

For each matrix A, find vectors that span the image of A. Give as few vectors as possible. \mathbf{A_1} = \left[ \begin{array}{cc} 1 & 1 \\ 1 & 2 \\ 1 & 3 \\ 1 & 4 \end{array} \right] \mathbf{A_2} = \left[ \begin{array}{cccc} 1 & 1 & 1 & 1 \\ 1 & 2 & 3 & 4 \\ \end{array}...

Why does high power magnification result in a dim image? thanks =)

WHAT THE!? I tried to upload a pic, it won't even load the website. It says "this ip has been banned" Is anyone else getting this? www.imageshack.com I kept clicking buttons because I could not find one of their old hosting links and then it said "banned" ...son of a ...

Here is an optical illusion that was sent to me in an email. I don't get it. What do you see? http://home.comcast.net/~larkspur2020/illusion.GIF

# An observer looks at a tree of height 15 meters with a telescope of magnifying power 10. How does the tree appear to the man? I think the tree will appear to be 10 times taller. Is it right?

Sir, when I was carrying out an image problem in electrostatics(a charge is kept near a grounded conducting sphere;we are to find the ratio of induced charges on the front face and on the rear one).The ratio comes positive.It seems to be correct as it matches with a teacher's comment.But I am...

# A convergent beam is incident on a concave lens as shown in figure. Which of the following is not correct? a) The image formed is real b) The image formed is virtual c) The image formed is erect d) The image formed is magnified I solved it in the following way: Let f be the focal...

hi all, This question is from Griffiths', Intro. to Electrodynamics, Example 3.2, to wit: "A point charge q is situated a distance 'a' from the center of a grounded conducting sphere of radius 'R' (Fig. 3.12). Find the potential outside the sphere." Note: a > R. Griffiths' solution does...

http://trace.lmsal.com/POD/TRACEpodarchive4.html http://trace.lmsal.com/POD/movies/T171_000828.avi I've sent several emails to Lockheed Martin trying to ascertain the author of this image. I would like to get some specifics about the image regarding the start and end times, the cadence...

# A convex lens placed between an object and screen forms a sharp image of the object on screen. A glass slab of refractive index n is inserted between object and lens. In order to obtain the sharp image on the screen again the lens has to be displaced by a distance x. What is the thickness of...

Sir, I am posting these questions for the 3rd time as you didn't respond. Please respond. 1)A convergent beam of light is incident on a convex mirror of radius of curvature 60 cm as shown in figure. What is the nature and position of the image formed by it? I solved it in the following way...

Sir, 1) A beam of light incident on a plane mirror forms a real image on reflection. It is said that the incident beam in that case is convergent. Is it true? I think it is due to the fact that a plane mirror normally forms virtual images of real object. In order that a real image be...

Sir, 1) A man 2 meters tall stands 5 meters in front of a large vertical plane mirror. What is the angle subtended by his image in the mirror at his eye? I solved it in the following way: Let AB represent the man and CE represent the mirror mounted on the wall.Here I am assuming that the...

Hi everyone - I'm sure there's somebody here who can help with such a trivial question. It's not a homework question before that's assumed - it's from a past exam paper, which I'm using for revision, sans answers. It asks to describe, in the complex plane, the image of: |z - 1| \leq 1...

A converging lens has a focal length of 25cm. A 1.00cm tall object is placed 15.0cm in front of the lens. Find the image location and size, and describe it. Draw a ray diagram. Ok so I get 1/p + 1/q = 1/f rearranged for q=pf/p-f which equals -37.5, so the object is 37.5cm behind the...

A question: "Suppose that a converging lens with focal length 30 cm in water is placed 20cm above a light source at the bottom of the pool. An image of the light source is formed by the lens. a) Calculate the position of the image with respect to the bottom of the pool." For a I did 1/f = 1/p...

Find a basis for Ker T and a basis for I am T a) T: P_{2} -> R^2 \ T(a+bx+cx^2) = (a,b) for Ker T , both a and b must be zero, but c can be anything so the basis is x^2 for hte image we have to find the find v in P2 st T(v) = (a,b) \in P^2 the c can be anything, right? cant our basis be...

Hello everyone, today our professor did this homework problem for us, just different numbers. This is the question: You produce an image of the Sun on a screen, using a thin lens whose focal length is 20.6 cm. What is the diameter of the image? (The mean radius of the Sun is 6.96x10^8 m and...

Hello everyone< i think I'm on the right track but now I'm stuck. Here is the problem: A concave shaving mirror has a radius of curvature of 37.0 cm. It is positioned so that the (upright) image of a man's face is 2.50 times the size of the face. How far is the mirror from the face? Here is my...

Hello everyone, I seem to be getting all the mirrors right that where concave but now i have a convex one and it doesn't seem to be working when im' finding the image distance and magnification/properties. Here is the problem: Heres my work: both the i and the m where wrong, i also tried...

"A 35 mm slide (picture actually 24*36 mm) is to be projected on a screen 1.8*2.7 m placed 9 m from the projector. What focal length lens should be used if the imageis to cover the screen?" I was trying to do this problem using the formula (1/do)+(1/di)=(1/f), but hten i realized i don't have...

See if you can decrypt the message in this graphic:http://www.davesbrain.ca/miscpix/code.gif"

Just copying a latex image for a physics lab. firefox doesn't let you preview the latex in a post. G=\frac{V_{out}}{V_{in}}=\frac{R_{out}}{\sqrt{R_{in}^{2} + \frac{1}{\omega C}^2}}

I would like to use the pointer in an image displayed by mathematica and have the software tell me the corrdinates of that pixel in the image. I am diaplying the image using the following command: ims = Table[showSlice[data, i, AspectRatio -> Automatic, ImageSize -> 100...

Hi, I have a problem to code this: Image that you have the following file presenting the following decimal values: 2 A 40.0 115.00 1.02842 5.944 10.0528 -1.656 115.00 1.01911 4.678 10.0528 177.078 11 6 100.0 115.00 1.01530 2.392 2.9097 11.933 115.00 1.00338...

Does anyone know where i can find a picture example of an image that is similar to the one projected unto the retina? The whole inverted, curved, non constant coloured dealy. Do such examples even exist, is it even possible to construct them? Thanks

Hello, I just made a program that puts numbers into a two dimensional array, and then saves them in a text file that looks something like this: 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 4 4 4 5 5 5 5 5...

Let O be the object, L be the lense, I be the image, and S be a screen for projecting an image. The lens can be placed anywhere between O and S. Let f be the focal length of the lense. Prove that for an image to be clearly formed on screen S, OS > 4f must be true. A figure of a "too...

Hello everyone I got the answer, but I'm confused on how he wrote out the vectors, like I'm confused on what variables ur allowed to let be any number, and what variables ur actually representing in the vectors. Here is the problem and solution...

Hello everyone! I'm alittle confused, my professor found the Null space after some students didn't get how to do it, such as myself. Here is the image and problem: http://img497.imageshack.us/img497/4161/lastscan9es.jpg Thats the row reduced forum of the orginal matrix. The orginal matrix...

Ok, there's something I just don't understand. I know that to find the height of an image (hi), you need to use the magnification equation m = -di/do = hi/ho. And for this question, the focal length (f), distance of object (do), and distance of image (di) are given. Now, if I want to find the...

I hope everyone could understand my matrix notation! T: M22 -----> M22; T[a b; c d] = [a+b b+c; c+d d+a] I found the the basis for ker(T) to be [1 -1; 1 -1] im having problems finding a basis for im(T)? I know that it has to be dim3! so far i have: im(T) = {[a+b b+c; c+d d+a]/ [a b...

Hi I've just got a small problem that needs to be cleared here to allow me to do the other questions. Statement: Two objects were detected in a 100-sec exposure with 3x4 CCD camera Now you are given 3 by 4 matrices for the raw image data, bias, dark count and flat field. I've provided a link...

i don't quite understand how it operates. from what i read it seems the image force is part of the barrier. but the textbook says it reduces the barrier. which is which?

In basic acoustic theory a sound source reflects across a boundry in a fasion similar to light. The magnitude of the reflected wave can be determined by adjusting it for the reflection loss and the distance traversed. I am looking at a scientific paper from the 70's. In it they use the...

Are considered two identical diverging lenses, each one of focal distance -10cm and separated 25cm. which it is the position of the image of an object located in the infinite? The answer is: Virtual image and to 7,7 cm of the second lens. I need to know how to solve the problem, step by step.

I'm trying to create an area mep for an image, but it's not working right. any help? <html> <head> <title>Enter through the door</title> </head> <body> <map name="amap"> <area shape="rect" coords="474,202,541,358" href="../leveltwo.htm"> </map> <center><img...

I am trying to follow a proof of \Gamma(\frac{1}{2}) = \sqrt{\pi} but in the way i have found this equality: \int_{0}^\frac{\pi}2sin^n xdx = \int_{0}^\frac{\pi}2cos^n xdx. I have tried unsucessfully integration for parts and I don't see how can I make some substitution. Maybe you can help...

Maybe it's just late, but I'm having an extremely difficult time proving that the minimum distance between an object and it's real image (geometric optics, thin lense equation) is 4f. I can see that it is true, however I'm unsure how to go about proving it mathematically.