Update (Clarification) I ordered this PC from a very reliable store. I told them what parts I want (CPU, GPU, chassis, etc.), and they assembled it. Since I did not request an OS, they made sure that I'm aware that an OS is not included in the order. The PC arrived without any boot record, as expected. Even if the assemblers connected the machine to the internet, Windows was not installed, so no activation could happen upon assembly.  I bought a brand new desktop PC; it was assembled from all brand new parts. I created a Windows 10 (20H2) installation media using the tool from Microsoft's website. During the installation I clicked on &quot;I don't have a product key&quot; to skip activation. Now, on Licensing it shows me that it is &quot;activated with a digital license&quot;. Executing slmgr /xpr results in &quot;the machine is permanently activated&quot;. It really bugs me. How is this possible?
If you activated a free upgrade to Windows 10 or bought and activated   Windows 10 from the Microsoft Store, you have a digital license for   your device. This means you can reinstall the same edition of Windows   10 that your device has a digital license for without entering a   product key. During reinstallation, if you’re asked to enter a product   key, you can skip this step. Windows 10 will automatically activate   online after the installation is complete.   source:   Does MS digital license 'fingerprint' hardware information  during the free upgrade / activation and store it (at Microsoft) , so that the next re-install queries MS for the fingerprint and activates Windows 10?  Thought the disk drive may change, I expect that none of the other fingerprinted hardware will change.
If $F_n$ is the $n$-th fibonacci number, then prove that, $$F_n={n-1 \choose 0 }+{n-2 \choose 1 }+{n-3 \choose 2 }+\ldots$$  I tried the idea of using Pascal's triangle, but it seems to need some adjustment, so I am stuck, please help.    Any combinatorial argument would be of greater help than rigorous proof.  Thank you. \num{100000} prints 100 000  I want to have 1 00 000.  Question: How to set siunitx package to do the above?  Some more  \num{1000} => 1 000  \num{10000} => 10 000  \num{100000} => 1 00 000  \num{1000000} => 10 00 000  \documentclass[12pt]{article} \usepackage{siunitx} \sisetup{group-separator = {,}}  \begin{document}  \num{1000}  \num{10000}  \num{100000}  \num{1000000}  \num{10000000}  \num{100000000}  \num{1000000000}  \SI{1000000000}{m}  \end{document}   The exact rules are described on the :     The Indian Numbering System uses separators differently from the Arabic system; besides the three least significant digits of the integer part, a comma divides every two rather than every three digits. Best way to add KeyEvents and faster Quit Travelling on Business visa to UK for tourism purposes I already have a 6 month valid UK business visa received prior to April 24 2015. I was supposed to travel to the UK in April, but my trip was cancelled on medical grounds.  I am now planning to visit the UK in July for tourism. Would it be fine for me to do so? Will I be allowed to enter the UK? Should I carry the original invite letter and medical certificate to prove why I didn't go the first time? How to run Visual Studio post-build events for debug build only How can I limit my post-build events to running only for one type of build?  I'm using the events to copy DLL files to a local IIS virtual directory, but I don't want this happening on the build server in release mode. IE must close for event with jQuery to work Limit of a particular variety of infinite product/series Sphere rolling up a ramp In this question, I did energy conservation, with the states being the initial one and the one where it is at the top , and I got $$ .5 I w^2 + .5 mv^2 = mgh$$ However, in  the answer key they have done, $$ .5 mv^2 + .5 Iw^2 = .5 Iw^2 + mgh$$ Now why would the k.e be turned to p.e but not the rolling energy?? Where is the dimensions option? In a multiple linear regression, why is it possible to have a highly significant F statistic (p&lt;.001) but have very high p-values on all the regressor's t tests?  In my model, there are 10 regressors. One has a p-value of 0.1 and the rest are above 0.9    For dealing with this problem see the . Logging into Ask LibreOffice with my Stack Exchange OpenID If I'm on , I click on OpenID and then enter  and click Log In, I get a page that says:  An error occurred on the server  This event has been recorded.  If you believe you encountered this message in error, please report it.   I clicked report it and here I am reporting it! Using Firefox 26 Determining the Orbits/Orbit Space of $O(3)$ on Real 3 by 3 Traceless Symmetric Matrices Let $O(n)$ be the set of $3 \times 3$ orthogonal matrices, and $S$ be the set of traceless real symmetric $3 \times 3$ matrices.  Now  $O(n)$ will act on $S$ by conjugation. Note that by the spectral theorem $ \forall A \in S$ in the orbit of $A$ there is a diagonal matrix $D=diag(\lambda_1, \lambda_2,\lambda_3)$ with $\lambda_1\le\lambda_2 \le\lambda_3 $.  Determine the all the orbits of the action &amp; the orbit space of the action.  What I've done:  Since all elements of $S$ are diagonlizable that the orbit of any element should be the orbit of its' diagonalized form because $\forall A \in S,   \exists P \in O(3)$ st  $PAP^t=D $ with $D$ a diagonal matrix and moreover for any other  $Q\in O(3)$ we get $QDQ^t=QPAP^tQ^t=(QP)A(QP)^t=RAR^t$.   And so would that imply the orbit space is just the set of traceless diagonal matrices as $tr(QDQ^t)=tr(DQ^tQ)=tr(Q)$ (cyclic property of trace) and $Q\in S$.  Any help is appreciated. What is the command to find out how much disk space is being used/remaining? Fantasy novel about kid who controls magic through coin changer device I read this book in high school, and I can't remember what it's called. Some kid learns he has magical ability, but only finds out later that he controls it through some kind of coin changer he's been tinkering with the whole book. Every function on $\mathbb{R}^n$ that is continuous in each variable separately is Borel measurable. I'm trying to solve exercise 2.11 from Folland's Real Analysis.    Firstly, how do we show that $f_n$ is Borel measurable on $\mathbb{R} \times \mathbb{R}^k$? I really have no idea how to show this when we have separately Borel measurable functions.  Next, I can't show that $f_n\to f$ pointwise.   For any $(x,y)\in \mathbb{R}\times \mathbb{R}^k$,   $f_n(x,y)=n[f(a_{i+1},y)(x-a_i)-f(a_i,y)(x-a_{i+1})]=n[x[f(a_{i+1},y)-f(a_i,y)]+\frac{1}{n}[f(a_i,y)-f(a_{i+1},y)]]$,   but because of the $n$ outside the bracket, I can't show that this converges to $f$. How can I show this? Also, how can I conclude from this fact that every function on $R^n$ that is continuous in each variable separately is Borel measurable?  I would greatly appreciate any suggestions, hints, or solutions. Do neutrinos not couple to the Higgs field? I was reading the CernCourier, my favorite source of message on Higgs and friends. I was rather shocked, when I saw this:     "The mechanism by which neutrino mass is generated is not known."   What? Not known?  says: In Higgs-based theories, the property of 'mass' is a manifestation of potential energy transferred to particles when they interact ("couple") with the Higgs field, which had contained that mass in the form of energy.  Does this mean that neutrinos don't couple to the Higgs field? What are good ways to make pdflatex output copy-and-pasteable? One frequent aspect of pdflatex output that could be improved is to what extent one can select text output from the generated pdf-file and copy-and-paste it. This is essentially an issue of having the right output encoding. There are at least two important aspects to this:   In the ideal case, Unicode would be the output encoding. Ligature glyphs (such as ﬁ) are ideally de-ligated in the output (here: "fi").   It seems that output encodings are specified through the fontenc package. What is the range of possible output encodings, and most importantly: Is there a way to specify a Unicode output encoding and one that deals with ligatures in the intended way?  (Note: It is important to distinguish output from input encodings. How to use different input encodings in LaTeX has been documented widely. My understanding is that this is best handled by the inputenx package, as it supersedes the inputenc package.)    Quick guide to the solutions: The information in the answers and answer threads is a bit distributed, so here the short summary: one approach is to use \input glyphtounicode together with \pdfgentounicode=1; the other approach is to use cmap/mmap.  Addendum: Sometimes one will need to load the package accsupp and enclose one's macro definition in \BeginAccSupp{method=hex,unicode,ActualText=&lt;codepoint&gt;}[...]\EndAccSupp{} to generate a specific code point. See the caveat about non-BMP code points  and the fix (starting from accsupp version v0.4, 2012/11/18) , which provides the new unichar package option. Review bans should escalate beyond 30 days Cartographic techniques for symbolizing routing data Some common problems with displaying routes created from street data, such as bus routes, include:   Routes may overlap themselves, such as when a route takes the same road in opposite directions Routes may overlap other routes that take the same street. Routes are often overly detailed, or "noisy", owing to their derivation from street data. Indicating a route's direction unambiguously without overloading it with arrows can be a challenge.   What are some techniques for dealing with these issues in order to create a practical and usable route map, such as this ? Do you know of any such public transport maps that were produced by automatic techniques rather than manual illustration/digitization?  Specifically I am using ArcGIS 10, but solutions involving other software are welcome as well.  One technique I have had some success with for dealing with 1) is using ArcMap's  with a negative offset -- assuming the lines are oriented in the direction of travel, this will offset the lines such that the right and left-hand sides are distinct and oriented as you would expect (at least for  countries, for left-hand traffic countries one would use a positive offset). However the result tends to be a bit wonky around turns, interchanges and and U-turns, and is inflexible when dealing with multiple routes.  Another possibility that I am not very familiar with but which seems promising is  -- however, I have not had much luck in finding examples of using representations for transportation maps and whether it might fit the bill. How do you link to applications in the Android market? When posting app links, I'm always using a link on Cyrket or AppBrain -- becuase I can't get a link to anything in the official Android Market.  But I have seen some links out there for use w/ Android itself ( ''market://'' protocol ):  market://details?id=de.schildbach.oeffi   (as seen @ )  Is it possible to web-link to apps in the Market so that a non-Android user can link to the appropriate Market page in a non-Android web browser?