Image Definition and 1000 Threads

length. I was asked to find the image and the object distance. I didnt think it was possible till i found this M=h'/h=-q/p : I knew this q=-ph'/h : I understood how they did this 1/p+1/q=1/f : I knew this 1/p+1(-ph'/h)=-1/f : This i understood also, but how they came up with...

Homework Statement Let Ψ: Mat2x2(R) -> Mat2x2(R) be defined as: [a,b;c,d] -> [a+b, a-c; a+c, b-c] Find a basis for the image of Ψ. Homework Equations None, AFAIK. The Attempt at a Solution I started by using the standard basis, B, for Mat2x2(R) to get [u]B [with u in Mat2x2(R)] as...

how can we say that the image formed by a concave mirror is always real if object is virtual? please help

Homework Statement A microscope has an eyepiece of focal length 2.50 cm and an objective of focal length 4.60 cm. The eyepiece produces a virtual image at the viewer's near point (25.0 cm from the eye). a) How far from the eyepiece is the image formed by the objective? ANswer: 2.27 cm...

Hi all, is there a way that one goes about solving for the image of a function in a purely analytical sense without having to use any sort of graphing calculator? btw I'm abit confused about the concept of image - it seems it is not the range which is what i thought it was :S? can someone...

Hi, the question is for the transformation : T: M2,3 -> P2 T ( A11 A12 A13) = (A11 + A13)x^2 + (A21 - A22)x + A23 ( A21 A22 A23) Are the following in the linear transformation? W1=x^2 + 2x + 1 W2=x-2 Attempt: I figured that w would be in image if there exists.. (A11 + A13)x^2 + (A21 -...

Plz help me to find "Digital Image Processing" by Rafael C. Gonzalez and Richard E. Woods Thank you

Hi can someone please explain to me in simple english what the image of a function is... People have told me it is the range, however i have heard technically it is not the range but it is similar? Thanks for your time cheers, Lucky

Homework Statement Let phi be a homomorphism from the group G under * to the group G' under #, where G = <a>, the cyclic group generated by a. Show that phi is completely determined by the image of the generator a of G. Homework Equations Phi is a homomorphism, therefore phi(x*y) =...

hello everyone, as u know there are many image hosting websites out there. the two worth mentioning when it comes to sharing are flickr and imageshack. they both are very simple but imageshack (whch i started using some time back) is more simple when it comes to sharing. which service do you...

Homework Statement I've been browsing the Internet but can't find a straightforward explanation for a procedure on how to find the image and kernel of a matrix. Question: Find a basis of the image of A, and a basis of the kernel of A. \[ A = \left[ {\begin{array}{ccc} 1 & 2 & 1 \\...

These pictures are incredible. http://www.wellcomeimageawards.org

Hello. Has anybody ever drawn an 11-dimensional cube (I mean, representation of 11-D cube in 2D)? Or does anybody have a picture of it? Thanks.

Hello, Suppose I have the function x = A*log(B*y) where A and B are constants, y is the height of a row of pixels, and x is how much that row of pixels needs to be translate right or left. How would you recommend incorporating this into code as to minimize distortion? I have tried...

Homework Statement A point charge is located outside of a grounded conducting sphere. Find the potential outside the sphere. This problem was a solved example. It was solved by placing an image charge inside the sphere so that the potential from the charge outside the sphere would cancel...

Homework Statement (a)Find the Kernel and Image of each of the following linear transformations. ... (iv)\varphi : V\rightarrow V given \varphi(f)=f'+f where V is the subspace of the space of smooth functions \Re\rightarrow\Re spanned by sin and cos, and f' denotes the derivative. ...

There seems to be a good source here: http://www.cs.cf.ac.uk/Dave/AI2/node194.html But my problem is understanding the summation. What I am trying to do is calculate ellipticites and orientation angles of images using their second order moments of inertia. My images are in matrix...

Homework Statement Let T be an invertible linear transformation from R2 to R2. Let P be a parallelogram in R2. Is the image of P a parallelogram as well? Explain. P is a parallelogram in the first quadrant without any specified points. Homework Equations The Attempt at a...

So upon introduction to Euler's phi function, we can see that \phi (1) = 1 and \phi (2) = 1, where it turns out that these are in fact the only numbers in N that map to 1. Now what I'm wondering is if there is some general way to find the inverse image of numbers in the image of phi? Also...

Homework Statement An object is at distance s from a thin glass lens of focal length f. The lens is surrounded by air. The image is at distance s' from the lens. Draw a graph of s' versus s. Explain physically why the graph varies as it does. Homework Equations I think I am...

im trying to understand how photons allow the brain to create an image. I understand that light is made up of photons. These photons are emitted from an energy source and reflect off an object and hit the retina which produces electrical signals that the brain creates an image from. What i don't...

I have the below figure I took from my textbook from a section that explains how to calculate the capacitance of two transmission wires using image line charges. My question is that if I add two more conductors like shown below, how would it affect the line image charges? I'm not sure...

I've given a function where f: R->R, and need to determine an image(or range): f(x) = x/(1+|x|) I've pretty sure the image is R, but I'm not positive: Heres my attempt: y/1 = x/(1+|x|) y(1+|x|) = x y+ y|x| = x y|x| = x - y... I'm kinda stuck here, since I can't determine an image...

An explanation given to the question, "Why do I look different in pictures versus a mirror?", cited that in a picture one views a 2D image but in a mirror one views a 3D image. This difference can effect the depth perceived in ones face. Is this explanation valid? My take is that the...

Homework Statement Let A, B be sets, C,D\subset A and f:A\longrightarrow B be a function between them. Then f(C\cap D)=f(C)\cap f(D) if and only if f is injective. Homework Equations Another proposition, that I have proven that for any function f(C\cap D)\subset f(C)\cap f(D), and the...

Homework Statement "a concave mirror is placed horizontally on the ground with a focal length of 1 meter, a boy sitting on a tree above the mirror drops a 7cm diameter styrofoam ball right over the mirror 3 meters high, determine when the image will be the same size of the ball" Homework...

Hi guys I've been trying to make a program that simulates image formation in the eye so I simulated a spherical lens behavior in 3d coordinates and I'm facing a strange results! is it normal that the refracted rays don't intersect all at the same point I began to think it's true because of...

Hello all, I am taking a course on Digital Image Processing that starts in a week. I do not know linear algebra very well and am concerned this will be a problem. I understand the stuff that is taught at the beginning of a linear algebra course, which I guess is better called Matrix...

First of all I would like to wish a happy new year to all of you, who have helped us understand college math and physics. I really appreciate it. Homework Statement Determine the dimension of the image of a linear transformations f^{\circ n}, where n\in\mathbb{N} and...

E.g. Is there a way to see overall trends for particle physics, condensed matter physics, astrophysics, cosmology, and string theory?

hi everybody... are there any difference between: image processing and computer vision?

i am amazed by the possibility that if the light reflected from Earth comes back to us after traveling in space for thousands of years we will be able to see our past. And this could happen around black holes. Has anyone found an image resembling earth?

what is the centre of gravity of an image in image processing ?

Homework Statement A bi-concave lens (n=2) has radii of 15cm and 25cm, and an axial thickness of 6-cm. Use the thin-lens equation to see how far off it is in determining the final image location. Homework Equations n1/so + n2/si = (n2 – n1)/R; (n-1)(1/R1 – 1/R2) = 1/f The...

Homework Statement Find the kernel and image of the linear function A: \mathbb{R}^\infty \rightarrow \mathbb{R}^\infty defined on the vector space (with usual operations) of sequences of real numbers x \in \mathbb{R}^\infty, x = (x_1, x_2,...) . given by A(x) = (y_1, y_2, ...) with y_k =...

I need a good and advanced PDF to text converter, that can also Scanned JPEG to Text Converter . I found this http://www.ocrcοnvert.com , but I need to know if there are more ??

I know this isn't really general math but here goes, I need to insert an image into my text on latex, when I put this; \begin{figure} \begin{center} \includegraphics[scale=0.7]{CantBeamPointLoad} \end{center} \caption{A cantilever beam with a point load P at the end of the beam}...

My professor can't give me a straight answer, the word is absent from the appendix of the book, and google search returns nothing. So my question is, in the context of abstract algebra... what the heck is an image? For example...my book says "Note that the image of the unity is the...

Homework Statement [PLAIN]http://sphotos.ak.fbcdn.net/hphotos-ak-ash2/hs574.ash2/149609_293915114994_507054994_1176494_3477051_n.jpg Homework Equations The Attempt at a Solution Ok so I know that this plane goes thru the origim I guess to find the two column vectors that span...

Homework Statement f: K^{3} \rightarrow K^{4} is a linear transformation of vector spaces: K^{3} = \left\langle \vec{e}_{1}, \vec{e}_{2}, \vec{e}_{3} \right\rangle and K^{4} = \left\langle \vec{e}^{*}_{1}, \vec{e}^{*}_{2}, \vec{e}^{*}_{3}, \vec{e}^{*}_{4} \right \rangle as well...

1. Homework Statement We have a grounded conducting sphere of radius R and a charge q is placed a distance a from the center of the sphere. Show that the potential in the interior produced by q and the distributed induced charge is the same as that produced by q and its image charge q'.The...

Homework Statement We have a grounded conducting sphere of radius R and a charge q is placed a distance a from the center of the sphere. Show that the potential in the interior produced by q and the distributed induced charge is the same as that produced by q and its image charge q'.The image...

Homework Statement Okay so i am applying a FT to an image of particles that are forming a lattice, and i need to find the average distance between the particles because its not a perfect lattice, I am getting an airy pattern and i believe that the distance to the first ring is the average...

Okay, so my professor is give us two matrices, and wants us to get back the image from which he got these to matrices. Regardless of the process (which i double checked) I have one remaining matrix that is 1 x 480 This matrix tells me the the intensity (in black and white i think) of each...

Homework Statement What should be the focal distance of a negative thin lens such that there's a virtual image situated at 50 cm from the lens, of an ant at 100 cm from the lens? Given that the ant is at the right side of the lens, localize and describe the image. Homework Equations...

1. Find the image of the linear transformation whose matrix is given by: 1 2 5 2 4 -3 1 0 10 -13 -7 -4 Homework Equations 3. Tried numerous times but struggle to get anywhere

Homework Statement Ok so I'm given that we have some function from R to R, that is continuous on all of R. I am asked if it is possible to find some BOUNDED subset of R such that the image of the set is not bounded. The professor gave the hint: look at closures. Homework Equations...

Homework Statement Integrate the function f(xyz)=−4x+6y over the solid given by the figure below, if P = (5,1,0) and Q = (-5,1,5). where P=(5,1,0) and Q=(-5,1,5) Homework Equations r²=x²+y² tan theta=y/x z=z y=rsintheta x=rcostheta The Attempt at a Solution So I treated this...

Let T: R[x]2\rightarrow R[x]3 be defined by T(P(x))=xP(x). Compute the matrix of x with respect to bases {1,x,x2} and {1,x,x2,x3}. Find the kernel and image of T. I know how to do this when given bases without exponents, however I do not know exactly what this is saying and therefore am...

If I wish to take a picture of your image while standing 5 m in front of a plane mirror, for what distance should I set your camera to provide the sharpest focus. I guessed the answer would be 10m (distance of object+distance of image). But i don't know why the focus of camera...