After writing a very long answer (as the initial answer was producing lots of questions), I wanted to add a table of contents to ease browsing the answer. But I was unable to create HTML anchors for the various sections. Is there any way to do that. The anchors I created by editing were simply erased when I posted.  I did read several questions, and their answers, about anchoring. But, at best, I just got a vague negative feeling.
I admit this feature request is probably somewhat limited in useful scope, but I'm throwing it out there anyway. Inspired by , and because I want to use it on , I'm requesting that name be supported on a tags in posts.  On very long answers, such as the closing/migration guidance answer, this would allow direct linking to the specific closure reason. This would then allow us, when someone , to link directly to the appropriate reason and description thereof.  I recognize the limited scope of this, however, I have seen other long answers that could stand to have that kind of "deep" linking ability as well.  (The original incarnation of this post had either name or id, but preferenced name. Per Koper's answer, which I agree with, I took out the idea of supporting id, because Koper's right -- too dangerous.)
Why does the Stern–Gerlach quantum spin experiment conflict with classical mechanics? My understanding of the Stern–Gerlach experiment is that neutral (0 total charge) particles are sent through a non-homogeneous magnetic field, with the expectation that the field will push that particle's path higher or lower on a detector because of the collective spin of that particle. While the detector can detect particles in a two-dimensional surface, the results of the experiment are that particles appear in only two localized areas directly above the path of the particle stream, or directly below the path of the particle stream - spin up or spin down. The conclusions from these measurements are that the particle, when measured, will always have about the same magnitude.  Why does this not follow from classical mechanical theory related to magnetism? If you shot a magnet through a similar apparatus, I would expect the magnet to be rotated to align with the magnetic field in some way which, at high enough field strengths relative to the mass of the magnet, would cause us to measure basically the same magnitude as if the magnet entered the apparatus pre-aligned with the field.  How is my explanation incorrect? How to derive addition of velocities without the Lorentz transformation? I have a dataset in csv file format that I'm loading into pgfplotstable. I can't change the format of the original csv, and being financial data it has a column of item names and two or three explanatory data points at the top of the table. e.g.  \documentclass{article} \usepackage{array,datatool,pgfplotstable}   \begin{filecontents}{sample.csv}     item,2008,2009,2010,2011      ,Actual,Actual,Forecast,Forecast      ,GBP,GBP,GBP,GBP      ,('000),('000),('000),('000) rounded     Area 1 OP, 1000000,1500000,1750000,250000     Area 2 OP, 400000,500000, 450000,-50000     Area 51 OP, 300000,375000,390000,15000     No P, 1250000, 1000000, 950000, 50000     Residuals, 800000, 80000, 90000, 10000   \end{filecontents}  \pgfplotstableread[col sep=comma]{sample.csv}\mystuff   I'm stumped at the next stage which is to typeset \mystuff so I have comma separators and can add a row that sums the 'Area' columns. At the moment to display the table I have to do something like  \begin{document}  \pgfplotstableread[col sep=comma,header=false]{sample.csv}\mystuff  \pgfplotstabletypeset[   columns/0/.style={string type},   columns/1/.style={string type},   columns/2/.style={string type},   columns/3/.style={string type},   columns/4/.style={string type}]\mystuff  \end{document}   How do I tag the top three rows as string and the rest of the last four columns as integer type so I can format and transform them? Prove Equivalence Relation in G Hei, guys!  I'm having some trouble with the next problem:  Let $A$ and $B$ be subgroups of $G$. Show that $\sim$ is an equivalence relation when it is defined as follows: $g\sim g'\Leftrightarrow g' = agb$ for some $a$ from $A$, $b$ from $B$.  Should I prove this is valid for any a and b? It says for some elements a and b. But I might as well take the unit element.   Could you give me a clue on how to solve it?  Cheers! Dobble card game - mathematical background In  there is a deck of 55 cards. Each of them has 8 symbols on it. There is a total of 50 different symbols and each two cards have one and only one in common.  I am wondering, given a total number of symbols N and a number of symbols on each card K, how do you find the biggest number of cards such that:   on each of those cards there are exactly K of the N symbols, every two cards have one and only one symbol in common. How can I remove the BOM from XmlTextWriter using C#? I would like to place a lower limit under two consecutive \sums, somewhere in between. So I have \sum_{j=1}^{\infty}\sum_{k=1}^{\infty} and would like to place j&gt;k in the lower limit between the two sums. I believe the multiple integral operator has this kind of functionality. What is the difference of 3 object declarations of javascript Can you use class features while Polymorphed? More specifically I'm trying to understand if a Barbarian who has been polymorphed, either willingly or not would be able to . However this also applies to things such as , or , anything a player might want to continue to use while no longer themselves.  Many questions specify you're able to rage while Wild Shaped, as  specifies      You retain the benefit of any features from your class, race, or other source and can use them if the new form is physically capable of doing so.   However,  specifies the following,     The target's game statistics, including mental ability scores, are replaced by the statistics of the chosen beast. It retains it's alignment and personality.   And     The creature is limited in the actions it can perform by the nature of its new form.   Unlike Wild Shape, nowhere does polymorph specify that you retain benefits from your class or race. Does this imply that class abilities do not carry over to polymorphed individuals? I'm trying to create a bowling animation and I want the ball to hit the pins. I already added the Rigid Body physics to the objects but can't get the ball to move.  Obviously I could just add keyframes but   that seems to interfere with the Rigid Body physics it doesn't look too realistic.   Is there a way to add some kind of motion to the ball? What is the best way to save values (like strings) for later use? I'm fairly new to LaTeX and I'm struggling with something apparently simple, but for which I can't find a fair solution. The problem (simplified) is as follows (please take care terms used may not have the traditional meaning in LaTeX):  I need to references to files (many) throughout a text. As example, the files:  "C:/Work/this_file1.c", "C:/MoreWork/this_file1.c" and "D:/MoreWork/another_file2.h".  So, now I would like to create an "alias" to each directory and each name file so I can reference them. A "pseudocode" could be:  % Definition \alias \c_dir = C:/Work/ \alias \d_dir = D:/MoreWork/ \alias \file1 = this_file1.c \alias \file2 = another_file2.h  % Reference in text \c_dir\file1    % For referencing C:/Work/this_file1.c \d_dir\file1    % For referencing D:/MoreWork/this_file1.c \c_dir\file2    % For referencing C:/Work/another_file2.h   My first approach was using \newcommand, but that caused numerous problems due to naming limitations. (I also tried other methods like pgfkeys, but it always gets stuck somewhere!)  Can you suggest a method? What is the value of $\sum\limits_{i=1}^\infty\dfrac{1}{p_{p_i}}$ where $p_n$ is the nth prime (and so $p_{p_n}$ is the $k$th prime, where $k$ is the $n$th prime) ?  Thus $\frac{1}{3}+\frac{1}{5}+\frac{1}{11}+...=$ ??  How do I efficiently decide if $\sum_{i=1}^\infty\dfrac{1}{p_{p_i}}\gt1$ is true without using a computer ?  I assume this infinite sum is an irrational number. Has this already been proven ? What is relationship of widower to late wife's family (i.e. in-laws)? I am a widower.  I still have a strong personal relationship with my late wife's family, and I regard them as part of my own family.  They are blood of my blood in the sense that my children are related by blood to both me and them,  but if we had not had children, that link would not exist.    My only direct relation to them was by marriage, and with my wife's death, it would seem that that bond no longer exists; at least not formally.     Is there any enduring relationship by law or tradition for ex relations by marriage, and what would it be called?   Also, what if instead of death, we had been separated by divorce?    And what if I were to remarry,  would that change my relationship to my first in-laws? How to fix slow wireless on machines with Intel wireless cards? I have looked through all the previous questions but turning power management off for the Wi-Fi card didn't work. This problem seems to be with the Lenovo Thinkpads. I switched to Ubuntu 11.10 from Windows 7 3 days ago so I'm new to the operating system. Usage of 'shall' in questions Let's say I want to arrange a lesson with my coach and I say:  Shall we have a lesson on Monday?  I understand the use of 'shall' in American English is considered to be formal, whereas this is not the case in British English. I would like to understand the different connotations (is it formal? is it a request for confirmation? is it a suggestion?) that the following questions have:  A. Shall we have a lesson on Monday? B. Can we have a lesson on Monday? C. Should we have a lesson on Monday? D. Could we have a lesson on Monday? E. Are we having a lesson on Monday? F. Will we have a lesson on Monday? G. Are we going to have a lesson on Monday? This question has been answered before in many places but I just need some confirmation with my specific setup. I have Linux Mint installed and I just want a fresh Ubuntu 12.04 install to completely replace Mint. It's dual booted with Windows 7 and I want that to remain completely in tact.  Anyway, I'm currently running the Live CD installer. I've said I want to specify my own partitions and I'm at the following screen:     The list at the bottom expanded:     I confused by all the different partitions. Seems like I should just check the box beside sda5. But what about sda6? Do I just leave that alone?  Also just for confirmation, is the "right" way to replace Mint, or should I be deleting it first? Connect Tikz nodes via two parallel arrows I am just starting to learn using Tikz and am a little lost within its seemingly infinite amount of options and possibilities.  What I am trying to do is visualize a few Matlab function interaction (which one calls which one, what is the in- and output). Since there are only about six subroutines, I place each one manually as a node. This is an example:  \documentclass{article} \usepackage{tikz} \usetikzlibrary{shapes,positioning}  \begin{document}  \begin{tikzpicture}[auto] \node           [rounded rectangle,draw]        (node1)     {Node 1}; \coordinate [above=of node1]                                (input); \node           [rounded rectangle,draw]    at  (-10:6cm) (node2)       {Node 2}; \draw           [-&gt;,very thick]             ([xshift=0.1cm]  input.south)  --                  node {right}                ([xshift=0.1cm]  node1.north); \draw           [-&gt;,very thick]             ([xshift=-0.1cm] node1.north) --                  node {left}                 ([xshift=-0.1cm] input.south); \draw                                            (node1) -- (node2);  \end{tikzpicture}  \end{document}     Now I would like to apply these double in/out arrows I (probably pretty awkwardly) created using xshift to all node connections, so in this example also for the connection between Node 1 and Node 2. Ideally, the space between these two arrows would be the same, independant of their angle and they would nicely connect to the outer line of the nodes. Any idea how I could achieve this? Similar questions I have found only used rectangle and orthogonal lines. I want to write as a math fraction 1/4 " ( a quarter of inch). I want to write this fraction out of an equation because is a characteristic of an element. How to prevent Windows from entering idle state? Why is a ConcurrentModificationException thrown and how to debug it