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Get rid of the question ban on Meta; suspend actively harmful users manually
How to show path-connectedness of $GL(n,\mathbb{C})$ Well, I am not getting any hint how to show $GL_n(\mathbb{C})$ is path connected. So far I have thought that let $A$ be any invertible complex matrix and $I$ be the idenity matrix, I was trying to show a path from $A$ to $I$ then define $f(t)=At+(1-t)I$  for $t\in[0,1]$ which is possible continous except where the $\operatorname{det}{f(t)}=0$ i.e. which has $n$ roots and I can choose a path in $\mathbb{C}\setminus\{t_1,\dots,t_n\}$ where $t_1,\dots,t_n$ are roots of $\operatorname{det}{f(t)}=0$, is my thinking was correct? Could anyone tell me the solution? Find all solutions to $x^9 \equiv 25 \pmod {29}$ How to prevent Windows from entering idle state? Question about Coulomb's law I am just very confsed about how to do these sort of questions where they give you a point in the middle of two charges. The farthest I've gotten in questions relating to coulomb's law, is using the formula \$F = {kq_1q_2 \over d^2}\$ to work out one of the unknowns when given two variables. Can someone please explain how you would do a question like this:  Two point charges of charge -2 µC and -3 µC respectively are separated by a distance of 15 cm. Point X is positioned at an equal distance away from each of the charges.      a. Determine the net electric field at X.     b. Find the point of equilibrium between the charges. We moved to a new place where the dryer connection is 3-prong instead of 4-prong. The dryer was originally 4-prong, so we bought a 3-prong cord and installed it. It works fine, except I am not entirely sure if I installed the ground wire correctly.   Originally, there was a green wire on the cord itself, and that was connected to the screw on the top of the first picture. This is, I assume, used to ground the case and prevent shocks when touching the exterior of the dryer.  Now with the 3-pronged plug, there is no ground wire on the cord. So where does the existing green wire in the case go? Do I leave it where it originally was like in the first picture or do I connect it to the central terminal like in the second picture?      There's no bonding strap running from the case to any terminal. I can't tell where the green wire is connected to. CSS bug with printing site pages (now with 100% more suggested fix included!) Need help to understand Maximum Likelihood Estimation for multivariate normal distribution? In maximum likelihood estimation for the parameter, mean $\mu$ of multivariate normal distribution, I end up with the following result:  $\mu_{MLE} = \dfrac{1}{n}\sum_{i=1}^n x_i$  The way I understand the above equation is the following way below, but I am wondering if the above equation means the following equation:  $\mu_{MLE} = \begin{bmatrix}\mu_1\\\mu_2\\\vdots\\\mu_n\end{bmatrix} = \begin{bmatrix}\dfrac{1}{n}\sum_{i=1}^n x_1\\\dfrac{1}{n}\sum_{i=1}^n x_2\\\vdots\\\dfrac{1}{n}\sum_{i=1}^n x_i\end{bmatrix} = \begin{bmatrix}E(X_1)\\E(X_2)\\\vdots\\E(X_n)\end{bmatrix} = \begin{bmatrix}\bar{X_1} \\ \bar{X_2} \\ \vdots \\ \bar{X_n}\end{bmatrix}$   And also Maximum Likelhood Estimation for $\Sigma$, I have ended up with the following equation:  $\Sigma_{MLE} = \dfrac{1}{n}\sum_{i=1}^n(x_i-\mu)(x_i-\mu)^T = \begin{bmatrix}Var(\sigma_{11}) &amp; Cov(\sigma_{12}) &amp; \dots &amp; Cov(\sigma_{1n}) \\ Cov(\sigma_{21}) &amp; Var(\sigma_{22}) &amp; \dots &amp; Cov(\sigma_{2n}) \\ {}&amp; \vdots&amp;  \\ Cov(\sigma_{n1}) &amp; Cov(\sigma_{n2}) &amp; \dots &amp; Var(\sigma_{nn})  \end{bmatrix}$  Somehow, I got the equation following some algebraic steps, but I can't see how this part, $\dfrac{1}{n}\sum_{i=1}^n(x_i-\mu)(x_i-\mu)^T$, works and produces the covariance matrix. Hope to hear some explanations. What do \makeatletter and \makeatother do? Many LaTeX “hacks” begin with \makeatletter and end with \makeatother. What do these commands do? Creating node shapes In Dreamweaver typing &lt;/ will automatically close the last open tag, so you don't have to type it all out, and it helps if you aren't sure if you closed one or not. Is there a plugin that dose this for Notepad++?  This is not like text FX where typing the opening tag/bracket adds the close on the other side of the cursor. This behavior is an auto completion that happens when &lt;/ is typed, DW finds whatever the innermost open tag is, and closes it. I find that, when I have the option of using DW, I will use this feature far more often than anything else that DW provides. Thus I would love to know if there was a way to do it in NPP.  Here is DW preference in question:  Notice how there is a different option that does what text FX does, but I don't want that.  I am not opposed to unorthodox suggestions, some kind of macro, or hack of a plugging. Anything to emulate the functionality. If need be, I could write a plugin, I just have no idea how to go about it. How do I get a selected vertex and it's corresponding uv vertex?  A vertex I can get with  bpy.context.active_object.data.vertices[0]   A uv vertex I can get with  bpy.context.active_object.data.uv_layers['UVMap'].data[0]   But the index is not the same for uv and mesh vertex. Allow moderators to edit/delete comments directly from the per-user comment moderation page A while back, a new dashboard was added to the user moderation tools to .  It's great for scouring a user's comment history to find certain comments, but I can't do anything from this dashboard except filter by flagged1, deleted, or active comments, and visit the posts to which the comments are attached where I can then edit or delete them.  Can we have the ability to edit and delete comments from this dashboard just as we're able to from the flag queue? It gets particularly tedious to have to open 100 tabs just to delete 100 spam comments from the posts they're attached to (and no, I'm not making that number up2...).    1 .  2 Alright, fine, I made that up; the actual number of spam comments I had to delete was 111. I have a directory that contains the following:  x.pdf y.zip z.mp3 a.pdf   I want to delete all files apart from x.pdf and a.pdf. How do I do this from the terminal? There are no subdirectories so no need for any recursion. How do I prove the following statement by induction?  $$n^2 \lt 2^n$$  $P(n)$ is the statement $n^2 \lt 2^n$  Claim: For all $n \gt k$, where $k$ is any integer, $P(n)$  (since $k$ is any integer, I assume I have to prove this for positive and negative integers)  So let base case be $P(1)$, and I have to prove $P(n)$ for $n \ge 1$ and $n \lt 1$  $P(1)$ is $1^2 \lt 2^1$ which is clearly true.  Induction hypothesis: $k^2 \lt 2^k$  Inductive step $(k+1)^2 \lt 2^{(k+1)}$  $(k+1)^2 = k^2 + 2k + 1$  $k^2 + 2k + 1 \lt 2^k + 2k + 1$ by inductive hypothesis  Not sure how to proceed. Is my previous intuition that I have to prove this for $n \ge 1$ and $n \lt 1$ correct? Can't change font size for GD imagestring() How to uninstall broken programs in windows 7 Could anyone tell me how to uninstall programs that their installation had a problem and therefore their uninstall doesn't work?  I removed all their references in the registry and their folder on the hdd but still don't know how to get rid of them completely from Add/Remove Programs list.  Thanks Suppose $k$ is a field that is finitely generated as a ${\mathbb Z}$-algebra.  (That is, $k$ is a quotient of ${\mathbb Z}[X_1,\dots,X_n]$ for some $n$). Does it follow that $k$ is finite? Javascript profanity match NOT replace It has been discussed before, but in light of some of the , I can't help but wonder what is accomplished by displaying the author of a given question or answer.  There is a , but if anything, I don't think it goes far enough.  If questions and answers are supposed to stand on their own merit, why do we need to show the author at all?  I'm not proposing any change to the way rep works; rep should still be accrued and abilities gained.  The only difference is that questions and answers would appear anonymous.  Does this better reflect the goals of SO?  If so, how far do you think the anonymity should be taken?  If not, what shortcomings am I missing? I'm getting frequent inaccurate location as the same location, can I make this stop?