Atlas Definition and 62 Threads

I've a doubt regarding Lemma 1.35 (Smooth Manifold Chart Lemma) from J. Lee "Introduction to Smooth Manifolds" The proof claims that Hausdorff property follows from v). However v) includes the case where both ##p## and ##q## are included in the same ##U_{\alpha}##, i.e. their neighborhoods are...

From my understanding, a topological manifold ##M## comes with, by definition, a locally euclidean topology and a (topological) atlas ##\mathcal A_1##. From this atlas one can construct the maximal atlas ##\mathcal A## throwing in all the chart maps ##(U,\varphi)## each from one of the open...

From data of proton-proton collisions at the LHC using the ATLAS detector I have plotted a heatmap of the distribution of satellite clusters (brem and converted photons) around seed clusters (electron/photon candidates without satellites) at (eta, phi) = (0,0). The data I am using is of the...

I have been doing some reading on electron reconstruction from proton-proton collisions at CERN. In some of the papers I have read, plots such as the one In the figure are included. What I would like to know is why they have chosen to plot the x and y axes as cos(phi) * tan(theta) and sin(phi) *...

Hi, consider the set of the following parametrized matrices $$ \begin{bmatrix} 1+a & b \\ c & \frac {1 + bc} {1 + a} \\ \end{bmatrix} $$ They are member of the group ##SL(2,\mathbb R)## (indeed their determinant is 1). The group itself is homemorphic to a quadric in ##\mathbb R^4##. I believe...

The current Particle Data Group global average measurement for the Higgs boson mass is 125.25 ± 0.17 GeV. The previous combined ATLAS Higgs boson mass measurement (via the Particle Data Group) was 124.86 ± 0.27 GeV from 2018 (using Run 2 data), and the previous combined CMS Higgs boson mass...

The New Measurement The ATLAS experiment at the Large Hadron Collider (LHC) has experimentally limited the "width" of the Standard Model Higgs boson with a rest mass of about 125 GeV to 4.5 + 3.3 - 2.5 MeV, with a maximum value of 10.5 MeV at a 95% confidence level. In the Standard Model, the...

Improved ATLAS result weighs in on the W boson Same dataset, but better analysis methods and some new results from elsewhere that could be used. Money plot from ATLAS: This makes the CDF measurement an even weirder outlier than it was at the time of publication.

I have a several questions on the following block of codes taken from ganfetex01_aux.in: solve save outf="ganfetex01_$'index'.str" extract init inf="ganfetex01_$'index'.str" extract name="2DEG" 1e-4 * area from curve (depth, impurity="Electron Conc" material="All" mat.occno=1 x.val=0.5) \...

Astronomers with the ATLAS project also chronicled the event. Short for Asteroid Terrestrial-impact Last Alert System, ATLAS is an asteroid impact early warning system based in Hawaii and funded by NASA. “ATLAS observations of the DART spacecraft at Didymos” exclaimed ATLAS in a tweet. A...

Hello, I am trying to construct an oriented atlas for S1 by considering the 8 transitions from the basic coordinate projection atlas. However, it does not appear to be possible to modify this atlas without destroying existing progress. Am I on the right track towards constructing the oriented...

if someone who uses Atlas Silvaco can send me the file organicex09_aux.in which is an example in the library of atlas2021 thanks

Introduction to the research at ATLAS at the LHC

The Higgs boson couples to mass, muons are relatively light, that makes a decay to a pair of muons (muon+antimuon) very rare. In addition there are many other processes that produce pairs of muons, making this decay mode challenging to find. For a long time it was expected that the experiments...

I'm studying differential geometry basics for general relativity (no specific source, just googling around). I know that spacetime is modeled as a ##4##-dimensional smooth manifold. Smooth manifold means that we consider a restriction of the maximal atlas such that all charts in it are...

I don't quite understand some work I'm doing creating the normal Riemann surface for the function ##f(z)=\frac{A}{\sqrt{(1-z^2)(k^2-z^2)}}##. I can use Schwarz-Christoffel transforms to map the function to a rectangular polygon in the zeta-plane then map this rectangle onto a torus. But I...

The ATLAS experiment has seen a bump that could be a new particle at a mass of 3.0 TeV/c^2 with a local significance of more than three sigma, and a global significance of a bit more than two sigma in Run-2 data looking at decays of qqbb states to a W or Z boson and a Higgs boson. It is...

I was wondering what the differences are between CMS and ATLAS when it comes to their channels. I know they detect for the H →γγ, H → 4l, H → eνμν channels, but I was wondering how they differ in their detection for these channels. I was also wondering if there were any noticeable...

Newly described clouds (also here) have been added to the International Cloud Atlas. I have always found clouds kind of fascinating, especially when viewed from airplanes. Didn't even know there was a cloud atlas.

Hello everyone. I have been a lurker for a while and i finally decided to join the forum. So here's my question: "Is there anything similar to math-atlas.org?" For those of you that don't know Math-Atlas is a website that tries to pin down all of the mathematical branches and present them in a...

It seems that geologists are becoming more able to visualize subducted slabs. They hope to be able to unwind the tape of Earth history, to some extent, (like 250 million years).

For centuries, scientists argued whether light was waves or particles. Light scattering with other light would favor the particle concept. Today we know both models are wrong, but quantum electrodynamics also predicts this scattering - just with an incredibly tiny rate, so it has never been...

A question that actually makes me laugh, but ... how long is the ATLAS Detector? Based on the ATLAS page here: http://atlas.cern/discover/detector the detector is 46m long. Based on references like here: http://arxiv.org/pdf/0910.3081.pdf the detector is 44m long. I wouldn't have asked this if I...

https://www.physicsforums.com/threads/new-lhc-results-2015-tuesday-dec-15-interesting-diphoton-excess.84798 and status from Monday CMS released their conference note a bit earlier. They see absolutely nothing at the mass range where the excess appeared in 2015. It is a bit curious that they...

I am confused about the procedure for finding the transition functions given an atlas. I understand the theory; it's applying it to real life examples where I have my problem. So for example, take S1 (the circle). I want to use 2 charts given by: U1 = {α: 0 < α < 2π} φ1 = (cos α, sin α) U2...

Hi all, Any help about interprting the results of ## \sigma(pp \to H) \times BR (H \to WW) ## mentioned in Fig.(12-13) in [arXiv:1509.00389[hep-ex]]? In that paper [arXiv:1512.06728v3[hep-ph]], page 8, its said that according to these figuers ## \sigma ( pp \to H \to WW^* )\leq 54, 37 fb...

I was reading about track reconstruction. So, I read about the "inside-out" and "outside-in" strategy for track reco. However both those strategies utilize information coming from the InDet parts... I know though, that the Muon Chambers are also used for the track reconstruction in ATLAS. How is...

Hi, I was looking for ATLAS detector parts resolutions (momentum for Inner Detector and Energy for the CAL systems). Does anyone have a nice reference? So far I found something like this for the ID: \sigma_{1/p_T} = 0.34 \text{TeV}^{-1} \Big(1 \oplus \frac{44 \text{GeV}}{p_T} \Big) With...

Some really impressive movement!

After a slow start, the LHC and its detectors worked nicely and collected a lot of data this year (~3.5/fb). While many analyses are still ongoing, both ATLAS and CMS will report several results on Tuesday 3 pm (CET)*. The presentations will probably appear here, a...

I have a small technical question, if anyone has ever worked with it... What does inclusive and sliced samples mean (at a MC generator)? I have seen that the sliced samples are divided according to mass slices for the different processes, but the inclusive are not. Why would they give such...

Is anyone familiar with Atlas 2 for mathematica to calculate the Riemann Tensor, Ricci Tensor, and scalar I have a metric that I need to calculate these things for. Can anyone help? I'm not too up on Mathematica either.

I have some questions concerning this paper (mainly about the tau identification): http://arxiv.org/pdf/1201.5466v1.pdf especially the figures 3-6... I don't understand what is the inverse background efficiency, neither the likelihood score. As a result, I am unable to understand what info the...

Now, this is kind of embarrassing, but I've been trying to do this for too long now and failed: I want to construct an atlas for ##S^2##, but I want to use spherical coordinates rather than stereographic projection. Of course the first chart image is simply ##\theta \in (0, \pi), \varphi \in...

Atlas 66 has been used as a donor for improving cultivated wheat.what does this mean?MY attempt-Atlas 66 is a cultivar i.e a plant variety that has been produced in cultivation by selective breeding.so it contains desired characters such as more than one Al tolerance gene .so plant breeders can...

Is it true that the atlas for a torus can consist of a single map while the atlas for a sphere requires at least two maps? Can we ever get by with a single map for some Calabi–Yau manifolds assuming that question makes sense? If not is there some maximum number required? Thanks for any help!

Can actually muons interact and give a signal while they go through the Hadron Calorimeter of the ATLAS? I think in general this isn't impossible, but it should depend on the muon energy... I would like to see that energy dependence, even quantitatively.

Hi, I perform my post-processing and analysis of data from silvaco in MATLAB and would like to export values from the .str file to a file that can be read easily into matlab. Does anyone know of a way to do this programmatically? I can do it in tonyplot, but I've got everything else scripted...

I am wondering how big the local coordinate charts in a coordinate atlas of General Relativity can be. Is it just a few nanometres or all the way to the furthest stars? Also I wonder how the speed of light is defined in GR. Is the velocity defined as the differential with respect to coordinate...

I'm trying to get a better understanding of some topology for a GR class I'm taking...I'm wondering if someone can help me understand how to go about constructing atlases or just charts in general. I understand the concept but I am trying to get a better handle on the math.

How can I give interface traps while simulating a power MOSFET in Silvaco ATLAS tool?

Hallo, Dear particle physicist, Despite I am major in biophysics, the particle physics looks attractive to me... So I just used Atlantis to check some experiments result from internet... Although I can find some resultant particles. I still cannot understand how to draw a Feynman diagram for...

I'm constructing an atlas for complex projective 3-space ##\mathbb{C}P^3##. I use the construction with inhomogeneous coordinates ##z_{i}/z_{j}## and a chart is given by the points ##\mathcal{U}_j=\{z_j\ne 0\}##. At the intersections ##\mathcal{U}_i\cap \mathcal{U}_j## I should specify...

I have a question about silvaco athena && atlas simulation, MOS structure, when I gate length is 0.6um, get Vth is 1.8V, but I only change gate length to 0.55um, get Vth is 1.6V, it's a error data I know, but I do not know why, what wrong with the program, how can I change it. would you please...

I've been looking in various books in differential geometry, and usually when they show that a smooth manifold has a differentiable structure, they just show that the atlas is C^\infty compatible, and forget about showing it is maximal. Which got me thinking. Given an atlas, how DOES one show...

I want one! ... well maybe not for 2000 euro: http://sascha.mehlhase.info/media/ATLAS%20LEGO%20model/2011-11-10%2010-21-41%20ATLAS%20LEGO%20model.jpg http://sascha.mehlhase.info/media/ATLAS%20LEGO%20model/2011-11-08%2011-06-31%20ATLAS%20LEGO%20model.jpg...

I recently noticed that in Silvaco Atlas (device modeling software), the default bandgap of silicon is given as 1.08 eV. This is at 300 K, no bandgap narrowing, and no other secondary effects - it is default. However, most (all?) of the modern references (e.g. Sze, Streetman, Pierret) give the...

If I could be inside the LHC Atlas detector during a proton bean collision what would I see? Would there be a huge flash of light? Would I be killed, if yes how fast? Or would there be nothing to see?

I just saw the film Atlas Shrugged: Part 1. Here are my thoughts. First of all about the book. I agree with the philosophic stance. No one should be forced to live for another. In my career, I never worked for free. I always charged for my services in the form of wages. This is as it should...

I’m studying GR and am curious about manifold, atlas and charts. I have an idea for building a simple example, in one dimension, and wanted to ask if what I’m doing below is “legal”/correct. Imagine a space flight that can be divided into three segments: A-B: velocity starts at zero and...