On Windows 8, Num Lock is off after booting after Shut Down. I changed the value of HKEY_USERS\.DEFAULT\Control Panel\Keyboard to 2, which works when fast startup is disabled or when I use restart.  How can I force Num Lock to be on before reaching the lock screen? Thank you.
I'm using a PIN code to log on my computer. However, Num ⇩ is always turned off, even if on before shutting down my computer. This is quite annoying as I always have to retype my PIN.  I've tried the suggestions  (same as ). But with no result. If I don't enable num lock on log in screen and use the numbers above the normal keys, num lock turns on after log on. Then it's too late, unfortunately.  So, how can I make num lock enabled by default when logging in? Thanks.  Edit: While I still want to solve this, I've figured it is not such a big problem. I will need to press some key for the "enter PIN screen" to show, and using Num ⇩ works and enables num lock. But then, still annoying if the computer was only locked (with num lock on) and I turn it off, hehe.
Trailing characters stripped from titles bypass length minimum General Information about Eigenvalues for an 3x3 symmetric matrix How do we find general information about the eigenvalues of an arbitrary 3x3 symmetric matrix without resorting to explicitly computing the solutions to the cubic characteristic equation?:  \begin{bmatrix}     a   &amp; b &amp; c  \\     b    &amp; d &amp; e \\     c &amp; e &amp;f \end{bmatrix}  (In this case the sum and product of the eigenvalues, and the sum of the reciprocals of the eigenvalues.) Since diagonalization preserves the trace and determinant of matrices, would it be best to just find the corresponding diagonal matrix and read off the sum and product of the eigenvalues from there? The problem is I can't think of a way to diagonalize a matrix without explicitly computing the eigenvalues. Is there a "smallest" divergent sum? I don't want to watch the prisoner cart ride to the execution: is it possible to skip this?   If so, how? Can I replace the intro movie file by some empty video? I'd like to do it in Python. What I'd like to do in this example in C: #include &lt;stdio.h&gt;  int main() {     int i;     for (i=0; i&lt;10; i++) printf(&quot;.&quot;);     return 0; }  Output: ..........  In Python: &gt;&gt;&gt; for i in range(10): print('.') . . . . . . . . . . &gt;&gt;&gt; print('.', '.', '.', '.', '.', '.', '.', '.', '.', '.') . . . . . . . . . .  In Python print will add a \n or space, how can I avoid that? Now, it's just an example, don't tell me I can first build a string then print it. I'd like to know how to &quot;append&quot; strings to stdout. To show: $(\mathbb{Q},+)$ is not isomorphic to $(\mathbb{R},+)$  Now, the equation $x^{2} =3$ has a solution in $\mathbb{R}$, but not in $\mathbb{Q}$.  Hence they are not isomorphic to each other.  Is that right, or do I need to prove something else?  Thanks. MariaDB won't start on Ubuntu: Can't lock aria control file Why does a bezier curve twist when rotated? If I create a bezier curve and rotate it in edit mode it does not accordingly rotate the tilt of the handles which creates an undesirable twisting along the curve.  Here is an example using a bezier circle with a square used for a bevel object:   Here it is after being rotated 90° about the y-axis:   How do I prevent/fix this? How do I clean the inside of my viewfinder? My viewfinder (not LCD) has spots of dust on it.  What is the best way to clean the inside?  I have cleaned the outside with a QTip. How can I make the Logitech Wingman Formula Force steering wheel work in Vista and 64 bit Windows 7? I have a large table that is already partitioned by an identifier (CustomerId). I have created new customers, and want to add new partitions to the table, and want to confirm the correct way to do this. My predecessor set this up and is no longer available so I cannot confirm.  There are currently partitions for 60 distinct CustomerIds (let's say 1-60), and a filegroup and file for each. I have created new filegroups and files for the new customers (61-68) and need to partition the existing data already in this table. So, the data that's already in the table, with customerId 61-68 needs to be moved into separate partitions.   I tried to use the partition wizard, but couldn't find an option for what I wanted. As far as I can tell, I need to run something like:  ALTER PARTITION SCHEME PS_Details  NEXT USED Filegroup61 ALTER PARTITION FUNCTION PF_Details ()  SPLIT RANGE (61)   I'm looking for someone to point me in the right direction as to best practice for this sort of thing. Do I take the data out of the table, into a new table stored in the Filegroup61 then switch the partition in? Not really sure how to approach this. I recently saw a lecturer prove the following theorem (assuming the result that every analytic function is locally 1-1 whenever its derivative is nonzero): Let $\Omega \subset \mathbb{C}$ be open, and let $f : \Omega \to \mathbb{C}$ be 1-1 and analytic on $\Omega$.  Then $f&#39;(z_0) \not = 0$ for every $z_0 \in \Omega$.  I got the basic idea behind the proof: we assume for contradiction that $f&#39;(z_0) = 0$, and, assuming without loss of generality that $z_0 = f(z_0) =0$, we have (from the power-series expansion) that $f(z) = z^kg(z)$ for some analytic $g$ in some disk at the origin (i.e., $z_0$) and some $k \ge 2$. Since $z^k$ is not 1-1 in any such disk (because there are multiple roots of unity), then $f$ isn't either.  However, the proof he gave was rather awkward and technical- it involved defining three different axillary functions, even though the idea was simple, and I've since forgotten how it exactly worked.  In any case, I'm convinced there's a better way.  The problem is that I'm having trouble turning the idea into a real proof- I know that it obviously follows if $g$ is 1-1, but I'm also pretty sure that that is too strong an assumption.  Am I missing something, or does the argument just have to be more complicated? Printing an array to a file with each element of the array in a new line in bash My question is simple.  Let $f(x)=x^3\sin(\frac{1}{x}), x\in \mathbb{R}$. Is this function uniformly continuous on $\mathbb{R}$?  I think it is not uniformly continuous when $x$ goes to $\infty$ How do I convert two lists into a dictionary? Other than cost, is there a reason to not use higher rated components than called for by design? Relating the Color of meat to doneness I want to know more about how to correlate the color of meat to its level of doneness. How do I recognize how cooked my meat is based solely on color? $\mathbb S_n$ as semidirect product In  note, I've read that $\mathbb S_n$ is a semidirect product of the alternating group $A_n$ by $\mathbb Z_2$. So I am trying to define a morphism $\rho: \mathbb Z_2 \to Aut(A_n)$ to show that $\mathbb S_n \cong A_n \rtimes Z_2$. I would appreciate suggestions on how could I define the morphism. Thanks in advance. Search and replace a line in a file in Python I want to loop over the contents of a text file and do a search and replace on some lines and write the result back to the file. I could first load the whole file in memory and then write it back, but that probably is not the best way to do it.  What is the best way to do this, within the following code?  f = open(file) for line in f:     if line.contains('foo'):         newline = line.replace('foo', 'bar')         # how to write this newline back to the file 80s-90s anime (movie or series) in which an armored girl exchanges age with a dying man on a beach