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Refresh a section after adding HTML dynamically to jquery mobile I am reading Schwarz QFT and I reached the mass renormalization part. So he introduces, after renormalization, a physical mass, defined as the pole of the renormalized propagator, and a renormalized mass which can be the physical mass, but can also take other values, depending on the subtraction schemes used. Are these masses, other than the physical one, observable in any way experimentally, or are they just ways to do the math easier (using minimal subtraction instead of on-shell scheme, for example)?   Also, in the case of charge renormalization, the explanation was that due to the vacuum polarization, the closer you are to the charge, the more you see of it, so the charge of the particle increases with the momentum you are testing the particle with. However, I am not sure I understand, from a physical point of view, why do you need to renormalize the mass. Is this physical mass (defined as the pole of the renormalized propagator) the same no matter how close you get, or it also changes with energy? And if it changes, what is shielding it at big distances? Calling acro first use when plural is producing an 's' in the short definition that is wrong I have an acro first use that must be plural, but I am getting an erroneous "s" when I shouldn't be. I'm getting (sIMFs) when it should be (IMFs). See picture and code below. The problem only occurs on the first call and it does so for all my acronyms. Thanks in advance.   \documentclass[12pt,twoside]{report} \usepackage{acro} \DeclareAcronym{IMF}{     short = IMF,     long  = Intrinsic Mode Function,     class = abbrev}  \begin{document} \acp{IMF} \acresetall \ac{IMF} \acp{IMF} \acfp{IMF} \end{document} What are the correct version numbers for C#? Possible Duplicates:             I'm wondering whether or not I should use a plural form noun with a collection name. For example, which one is correct, bookList or booksList (obviously they are variables in a programming language)? More than one private key for RSA In an RSA-encryption scenario, Bob's public key pair $(n, e)$ is $(143, 43)$. An attacker Mallory tries brute-force and comes to $d = 7$ as the private key. The value of $φ(143) = 120$ is not known to Mallory. However from $43 \cdot d \equiv 1 \bmod 120)$, one can calculate the first positive element $d = 67$ from multiplicative group $d = 120 + 67n$ and $n \in \mathbb{Z}$ $d = 7$ clearly doesn't fit in that multiplicative group, so how come it can successfully decrypt the encryption? I have played the game Othello (Reversi) numerous times but I never approach it with a specific logic or algorithm to apply on each move in my mind. I won many times and lost as much. How would one approach this game? How would one work in his mind to prune the possible moves and choose the &quot;right&quot; one in each step? I see that most Othello CPUs more or less &quot;think&quot; the same at each move, how should I think on each move? When I open the file in Vim, I see strange ^M characters.  Unfortunately, the world's favorite search engine does not do well with special characters in queries, so I'm asking here:   What is this ^M character? How could it have got there? How do I get rid of it? How to generate all permutations of a list? I'm looking for a simple, easy to understand algorithm to alphabetically sort an array of characters in C. Can someone tell me how to get a closed form for  $$\sum_{k=1}^n k^p$$  For $p = 1$, it's just the classic $\frac{n(n+1)}2$.   What is it for $p &gt; 1$? How can I list all the printable ASCII characters in the terminal? Combinef in R HTS package- constrain to keep forecasts positive? When using the combinef function from Rob Hyndman's very useful  for forecasting hierarchical and grouped time series, there does not seem to be a way to constrain the optimally combined forecasts to be positive- the starting forecasts can be positive, but can go negative through the reconciliation process.  The forecast.gts and forecast.hts functions have an argument to keep forecasts positive, but this does not seem to be an option when using combinef by itself with forecasts obtained by other methods.  Am I correct in this understanding, and if so is there a decent workaround? Can I find the connected components of a graph using matrix operations on the graph's adjacency matrix? If I have an adjacency matrix for a graph, can I do a series of matrix operations on the adjacency matrix to find the connected components of the graph? Length of a JavaScript object Why can the row-reduced echelon matrix $R$ only be identity matrix? I'm reading Linear Algebra by Hoffman, Kunze where the authors explained that a $n\times n$ matrix $A$ being invertible is equivalent to the fact that $A$ is row-equivalent to $n\times n$ matrix $R$ which is an identity matrix.  In the proof of the theorem, they wrote:     $$R= E_k\ldots E_2E_1 A$$ where $E_1,\ldots,E_k$ are elementary matrices. Each $E_j$ is invertible, and so $$A = E_1^{-1}\ldots E_k^{-1}~R\,. $$  ... Since, $R$ is a (square) row-reduced echelon matrix, $R$ is invertible if and only if $R=I\,.$  [...]   I couldn't get the conclusion, since any row of $R$ can't be zero, it has to be identity matrix $I\,.$ Why is it so?  Isn't there any other row-reduced echelon matrix other than the identity matrix having no zero row and invertible? Why is it so? There used to be a place where you could buy Stack Exchange branded gear, what happened to it? I'm downloading Sentinel-2 tiles from  but they dont seem to be 100 % aligned. Right image is band 08 Sentinel-2 added to ArcGis Desktop (i have done nothing more than adding the 08.jp2 to the map), left esri basemap photo. The offset in Sentinel is about 35-40 meters. How do i correct them?    . Level-1C, Sentinel-2:   SOLUTION:  From HDunn's answer i did this:  Using a road vector layer i added five point pairs and calculated difference in x and y coordinates. The mean differences i used as xvalue and y value in Shift tool. Result: ls command operating differently depending on recipient I am in the last year of MSc. and would like to read string theory. I have the Zwiebach Book, but along with it what other advanced book can be followed, which can be a complimentary to Zwiebach. I would like a more mathematically rigorous book or lecture notes along with Zwiebach.   Specifically, mention whether the book discusses string theory   Rigorously? Intuitively?   What's the scope of the book? Does it cover the advanced materials, e.g. Matrix string theory, F-theory, string field theory, etc. Maybe even String Phenomenology?