Let ##M## be a left R-module and ##f:M \to M## an R-endomorphism.
Consider this infinite descending sequence of submodules of ##M##
##M \supseteq f(M) \supseteq f^2(M) \supseteq f^3(M) \supseteq \cdots (1)##
Can anybody show that the sequence (1) is strictly descending if ##f## is injective...
Hi. I'm a retired several-sciences guy, a STEM Ambassador encouraging kids to look at science, hopefully fostering interest.
I'm also interested in microscopy.
I/we are looking for ideas for small items which demonstrate interesting/educational things, for kids to look at through microscopes...
Homework Statement
Consider the curve C (image attached). C coincides with the real-z axis for $$|z| > a$$ and, in $$|z| < a$$ C coincides with the semi-circle $$|z| = a, =z > 0$$ In terms of simple singular flows, what is the image in C of a line source of strength 2πm lying at z = z_0, above...
Homework Statement
[/B]
A glass slab of refractive index n=2 has left spherical of radius 10cm and right surface plane.From both surfaces refraction as well as reflection takes place.A point of object P is placed at a distance 15cm from point O1.
Mark the correct option
(A)two images are...
I am searching for images of the daytime sky taken within the water vapor absorption bands at 940nm, 1600 nm, 1860 nm, 2700 nm or 2900 nm. Specifically I am trying to see if multispectral images of in-band and adjacent out-of-band photos could be subtracted to show areas of slight water vapor...
If I understand the phenomenon correctly; whenever we capture an image using a telescope, because the light that's emitted from a distance object acts like a wave, we notice a diffraction pattern in our image. Now, in the double slit experiment (I didn't create the image, excuse the "slot"...
https://phys.org/news/2018-02-high-resolution-image-core-milky-reveals.html
This is my first thread here so if I have done something wrong or placed it in the wrong place,
I apologies in advance.
Otherwise enjoy!
I found the images amazing to say the least.
Hi team of experts,
Firstly, I'm not a physicist so apologies for the high level of ignorance.
How do ultrosonographic images work? Let's assume I want to observe dynamic changes within a specific area of the body. What type of dynamic changes are detected on those images?
Thanks,
Jose
Homework Statement
Using the method of images discuss the problem of a point charge q inside a hollow grounded conducting sphere of inner radius a.Find
(a) the potential inside the sphere
(b) induced surface-charge density
(c) the magnitude and the direction of force acting on q
is there any...
Consider the scenario where there are two parallel conducting pipes of radius R separated by a distance d, with pipe 1 at a potential of -V and pipe 2 at a potential +V. I have seen from many sources that there is a very easy method of images solution to the potential outside the pipes, given...
Homework Statement
Estimate the time between each photoflash of the apple in Fig. 2-18 (or number of photoflashes per second). Assume the apple is about 10 cm in diameter. [Hint: Use two apple positions, but not the unclear ones at the top.]
Homework Equations
All we have learned in class is...
Hi
I have to run a few algorithms using Python on PNG-images. However, I also know that PNG is compressed... How do I do this? I need to learn the following:
1: Extracting the RGB information about the pixels.
2: Isolating parts of the image (for example, importing an image and only working on...
Homework Statement
the calculation can be
considerably simplified by using the so called method of images. In this method,
the electric field and potential produced by the induced charge distributed on the
sphere can be represented as an electric field and potential of a single point charge...
I was told by someone that for computer vision AI, a photo of say an apple and an orange exists on some high dimensional manifold, and the goal is to learn a geodesic between the two objects.
What does this mean? Does this mean that the photo of one of the images is just a tuple of coordinates...
Homework Statement
Homework EquationsThe Attempt at a Solution
[/B]
I tried to draw a rough figure depicting the situation.
Here M is the mosquito and I1, I2, I3 are its images .
Mosquito can clearly see it's image I1 .Now whether it can see I2and I3 is something I am not too sure ...
Hello everyone. I have a question about Optics and I place here because I don't know if there are a specific thread.
I am using a laser beam to calibrate position of several cameras. But instead of to have one spot in the image I have two spot. One of them is smaller of the other.
I presume...
Hello Experts,
I leaned that using a sterescopic cameras (generates 2 photos) one can measure the distance to any object in the image produced by the camera.
For example, if I take a picture of a lamp post using a stereoscopic method, I can determine the Distance from the camera to the lamp...
Normally I use the little "cute sunset image" icon on the rich text editing bar to include photos in a post (it's the icon to the right of the smilie icon and to the left of the film frame icon). And normally, no problem.
However, for the post below, I am finding that no matter what I do...
Hello,
I am trying to understand how vector images are formed and manage to be scaled up or down without distortion. Bitmap images are easy: they are a grid of pixels and each pixel has a certain color. Scaling a bitmap image of 10x10 pixels implies adding new extra pixels and using...
Hello Forum,
The iconic images of quantum corrals are made by assembling individual atoms using a STM.
I am still unclear on what the image is truly representing. Do the ripples represent the probability density? Of what? How is that possible? I can see how we can mathematically calculate and...
Homework Statement
An infinite line of charge with charge density λ is parallel to and a distance d above an infinite grounded conducting plate. What is the charge density σ that is induced in the plate? For simplicity, consider the line of charge to lie along the line x = 0.
Homework...
Homework Statement
Let ##C## be the space of continuous real functions on ##[0,\pi]##. With any function ##f\in C##, associate another function ##g=T(f)## defined by $$g=T(f)\equiv \int_0^\pi \cos(t-\tau) f(\tau) \, d \tau$$
a) Show ##T## is a linear transformation from ##C## to ##C##.
b)What...
In the paper Strong field limit of black hole gravitational lensing, the amplification of images in the Schwartzschild metric was given by
$$
\frac{1}{\beta}\sqrt{\frac{2\,D_{LS}}{D_{OL}D_{OS}}}
$$However the authors did not derive this expression or explain its origin. Does anyone know how to...
Hi, I hope someone can help me!
I could not find a solution online of which could help me. My problem:
I have imagecubes - they are a "cube" of 10 images of the same place of a photo, one at 400nm, one at 450nm etc etc.
I need to upload these into MATLAB so I can then analyse the intensities...
Homework Statement
We have a coordinate system (x, y, z). Two conducting plates 1 and 2 are parallel and lie in the x-y plane. Plate 1 is at height (x, y, 0) and plate 2 is at height (x, y, 4a), where a is an arbitrary constant.
Between these two plates there are 2 charges +q and -q. Charge...
hi guys
Today I would like to show the advantages of stacking a set of exposures over just a single shot
There are various ways to stack individual exposures. A number of programs are available ranging
from free to quite expensive ... several 100 US$
free = DSS - Deep Sky Stacker...
I have seen what looks like Newtons rings interference pattern in transverse CT images of 2 solid water block on
top of each other. My understanding is that Newtons rings occur in visible light eg photography or scanners. Can anyone shed some light on this? :)
The FT decomposes images into its individual frequency components
In its absolute crudest form, would the sum of these two images (R) give the L image?
Homework Statement
Hello everyone, I am new here and have a question regarding method of images in my electricity and magnetism class. I need help to even get the ball rolling. The question is as follows:
a) What is the image of a dipole, oriented toward the center of the conducting sphere, if...
This effect can be seen in the short film "A Boy and His Atom". I had a couple ideas about what this could be but I am curious if someone knows better.
Homework Statement
Using methods of Images, How do I find the potential of the system consisting of two conducting cylinders that are not grounded and separated at a distance of 2D, one in a potential of V_0 and the other is -V_0?
Homework Equations
The potential due to an infinite line...
I got the explanation about stimulated emission and lasers as explained here: Understanding Stimulated Emission: Got the what, how about the why?
What I'm still unsure about is if this also explains the simpler question of how light passes through a transparent medium, like glass, yet the...
I'm solving a problem numerically where I have some charge density above an infinite, grounded conducting plane and want to determine the electrical potential at a given point. My intuition says that this is not simply given by the potential of the charge density above the plane, since this will...
I have T1 MR images DICOM (http://www.osirix-viewer.com/datasets/DATA/BRAINIX.zip )
does anybody know the CODE to calculate T1 values from above DICOM images in MATHLAB?
If I cut my image into several portions and use the Fast Fourier Transform on each portioned image, will I achieve the same result as if I used Fast Fourier Transform on the whole image?
I have this concern because I need to process a large image using the Fast Fourier Transform, the problem is...
Hello, a dubt arose while doing some exercise.
If I have a charge q at a distance d from the above-mentioned plane, i can find the solution to the laplace equations (thanks to the uniqueness theorems) finding a collection of image charges that satisfies the boundary conditions.
These conditions...
Hi, it seems astronomical FITS images are abundant on the internet. However, I am looking for FITS images of bias/flat and standard stars along with observations to practice CCD photometry and having a harder time.
I would like to be able to take a set of images and obtain the transformation...
I run a photo contest that uses a 5-star rating system which ranks the images according to their average rating. However, I would like to factor in the total number of votes a photo receives to get a more accurate ranking. For example, I do not want an image with one 5-star vote (Avg rating: 5)...
I'm trying to understand the maths of QM from Shankar's book - Principles of Quantum Mechanics: On page 21 of that book, there is a general derivation that if we have a relation:
|v'> = Ω|v>
Where Ω is a operator on |v> transfroming it into |v'>, then the matrix entries of the operator can be...
the question in my exam goes like this:
should we use a thick convex mirror or a thin one for the anti-theft mirror?
the given answer:
thin, because a thin convex mirror does not form multiple images
can someone please explain to me why a thin spherical mirror does not form multiple images...
My question is best illustrated by an example from a Griffiths book on E&M:
"A point charge q is situated a distance ##a## from the center of a grounded conducting sphere of radius R (##a>R##). Find the potential outside the sphere... With the addition of a second charge you can simulate any...
New Pluto images from NASA's New Horizons
New close-up images of Pluto from NASA's New Horizons spacecraft reveal a bewildering variety of surface features that have scientists reeling because of their range and complexity.
Continue reading...
I am really confused that the whole process of the method of image.
Suppose I have the + q near the infinite conducting plane which is grounded.
My first question is: Is the conducting plane grounded before putting the +q or after putting the +q then grounded?
The first question would lead to...
I am very curious about holograms and if there is a possible way to project 3D , mid-air images and videos on air with no holographic screen (The Princess Leia hologram in Star Wars). If it is not possible, how long till they actually start arriving to the world and how will they work/operate?