How to give two equations the same equation number?
How to get only one vertically centered equation number in align environment with two equations
How can I forward delete on iOS? Is there a way to delete text in front of the caret using the iOS software keyboard? The small wireless hardware keyboard accomplishes this with a fn+delete, so there might be a way to use multiple keys to accomplish the same task in iOS? Mixed content on many SE sites Many SE sites (like math.SE) have a problem with mixed content, which causes display bugs in recent browsers. This is particularly evident with math.SE (because of the huge use of MathJax) and with chat sections.  Will this be fixed?  How to reproduce  Visit  or   What happens  Mixed content is blocked, output is missing pieces of code (MathJax):    This picture also includes my main Firefox addons (top right), it relevant. It shows missing styles:    The white on the left is my tab list. It is well known that confidence intervals and testing statistical hypothesis are strongly related. My questions is focused on comparison of means for two groups based on a numerical variable. Let's assume that such hypothesis is tested using t-test. On the other side, one can compute confidence intervals for means of both groups. Is there any relation between overlapping of confidence intervals and the rejection of the null hypothesis that means are equal (in favor of the alternative that means differ - two-sided test)? For example, a test could reject the null hypothesis iff the confidence intervals do not overlap. Where do the regions of Westeros appear to align as of the season 6 finale? Based on , my understanding is that there are 9 regions of Westeros subject to the rule of the Iron Throne, from Dorne joining up to Cersei killing Robert.  With whom does [insert region] align in what appears to be Daenerys vs Cersei?   Kingdom of the North -- Daenerys probably but currently busy with White Walkers Kingdom of the Mountain and the Vale -- Daenerys probably but currently busy with White Walkers (supposedly; depends on what Littlefinger has in mind) Kingdom of the Isles and Rivers (Iron Islands) -- Daenerys Kingdom of the Isles and Rivers (Riverlands) -- Cersei because the Freys are with the Lannisters? Kingdom of the Rock -- Cersei because she is a Lannister Kingdom of the Stormlands -- Cersei? Kingdom of the Reach -- Daenerys after invitation of Varys and Ellaria Principality of Dorne -- Daenerys after invitation of Varys presumably Crownlands -- Cersei since Cersei is currently occupying the Iron Throne   Am I understanding this right? Anything wrong? how long does the care take to reach the last pole algebra word problem There are 20 poles with a constant distance between each pole. A car takes 22 seconds to reach the 12th pole starting from the first pole, with a constant speed between each pole. how many seconds will it take to reach the last pole?   Is the answer 36 seconds?   since $\frac{22} {12}  = 1.83 $  $1.83 \times 20 = 36.67 $ Mean absolute error OR root mean squared error? Why use Root Mean Squared Error (RMSE) instead of Mean Absolute Error (MAE)??    Hi  I've been investigating the error generated in a calculation - I initially calculated the error as a Root Mean Normalised Squared Error.  Looking a little closer, I see the effects of squaring the error gives more weight to larger errors than smaller ones, skewing the error estimate towards the odd outlier. This is quite obvious in retrospect.   So my question - in what instance would the Root Mean Squared Error be a more appropriate measure of error than the Mean Absolute Error? The latter seems more appropriate to me or am I missing something?  To illustrate this I have attached an example below:                    The scatter plot shows two variables with a good correlation,  the two histograms to the right chart the error between Y(observed ) and Y(predicted) using normalised RMSE (top) and MAE (bottom).     There are no significant outliers in this data and MAE gives a lower error than RMSE. Is there any rational, other than MAE being preferable, for using one measure of error over the other? Having line color vary with data index for line graph in matplotlib? I've got a couple of URL autocomplete suggestions where Chrome suggests the wrong URL consistently.   How can I delete the incorrect entry from the address bar's suggestion list? The page I want shows up too but it's never the first result. Why is polynomial regression considered a special case of multiple linear regression? If polynomial regression models nonlinear relationships, how can it be considered a special case of multiple linear regression?  Wikipedia notes that "Although polynomial regression fits a nonlinear model to the data, as a statistical estimation problem it is linear, in the sense that the regression function $\mathbb{E}(y | x)$ is linear in the unknown parameters that are estimated from the data."  How is polynomial regression linear in the unknown parameters if the parameters are coefficients for terms with order $\ge$ 2? Guinier regime for form factor Why is it such a good idea to plot the logarithm of the form factor vs $Q^2$ in . It seems arbitrary to me. I just reached the 3k rep limit required for close votes and have started exploring the vote-to-close UI that's opened up to me, and I have a request.  The review queue has a Do Not Close button, but when I click the close link under a question that has close votes (i.e. it shows close (1)), there isn't an option for me to vote against closing the question. I came across a question that had a vote to close it as not a question, but it had just been updated with code and more details and was no longer a candidate for closing. However, I couldn't cast a vote to not close it from the question itself. When I clicked on close, it brought up the usual voting UI, and "Do Not Close" was not an option.  TL;DR, do this:   Open a question in the close votes review queue Note the Do Not Close button Click the question title to go to it Click the close (n) link under the question (assuming it hasn't already been closed) Notice the lack of an equivalent "Do Not Close" option   Could a "Do Not Close" option be added to the close button popup for questions that already have close votes, that way the review interface isn't the only place a "Do Not Close" vote can be cast?  Edit: Okay, so 5 3 "Do Not Close" votes kicks it out of the review queue, it doesn't have "no effect" as suggested in the comments. (See , in which the  was just updated a few minutes ago to say 3 DNC votes.) I still don't see why the same DNC option can't be available from the question.  Basically, I guess I would like some rationale behind this bullet point from :     Only accessible from the review queue (so rather difficult to target a specific question). Yes, this is very much by-design. Did J.R.R. Tolkien ever write a deeper connection between The Hobbit & Lord of the Rings: Fellowship of the ring? There seems to be a bit of a gap between The Hobbit and Lord of the Rings: Fellowship of the Ring. While we know the outcomes from The Hobbit to Lord of the Rings, we don't know what happened between them. Did Tolkien ever novelize this?  Connecting the two movies together, I've pieced the following sub-plots:   Saruman becomes corrupted by peering into the Palantír of Orthanc at some point after The Hobbit Gollum gets captured by Sauron's army Legolas leaves his homeland, in search of a ranger of some importance Tauriel is banished from her homeland Bilbo returns to the Shire, and finally relinquishes the one ring on his 111th birthday to Frodo   What doesn't seemed joined by the books or the two trilogy films:   How did a powerful white wizard like Saruman become enchanted/corrupted by Sauron What was Gollum doing before he was captured Where was Thranduil during the events of Lord of the Rings What happened to Tauriel during Lord of the Rings What happened to the remaining company of dwarves after The Hobbit Who now resides within Erebor What happened to Radagast during Lord of the Rings A non orientable closed surface cannot be embedded into $\mathbb{R}^3$ Problems with macOS path on Synology NAS (SMB) I am having issues with macOS where, after mounting a drive it will mount new drives instead of just jumping to the sub-folder path within the mounted drive.   For example, I'm seeing where I send someone a path for in the "Video" drive on a Synology (smb://HAL9000/Video).  Instead of mounting the "Video" drive (smb://HAL9000/Video) and going to a sub-folder within the video drive labeled "GoPro -IMPORT", it will create a new drive on their desktop labeled "GoPro - IMPORT".    If I create a new sub-folder within "GoPro - IMPORT" and send them a link to that like (smb://HAL9000/Video/GoPro%20-%20IMPORT/Test), instead of taking to the sub-folder in the "Video" drive that they already have mounted on their desktop, it will create an entirely new drive labeled "Test" on their desktop.    I've tried reaching out to both Apple and Synology and had no luck with this.  I would appreciate any kind of help/support. The limit of $((1+x)^{1/x} - e+ ex/2)/x^2$ as $x\to 0$ Dual boot windows 8 and Ubuntu with Windows 8 Boot manager Should I use UUID as well as ID In my script, I have for loop over many cube objects (~1000) and the treatment is very slow. Looking more in details, I notice that in the same amount of loops:   if I use python operation or simple blender operation like  obj = bpy.data.objects[obj_name]   or   obj.select = True   it takes less than 0.08s (for all 1000 objects) but as soon as I start using blender operators like:  bpy.ops.object.select_pattern() # or bpy.ops.object.duplicate() # or bpy.ops.object.location_clear() # or bpy.ops.object.transform_apply() # etc.   then, the performance drops down deeply with more than 6s for the same amount of objects.   And, a last information, if I reduce the amount of objects from 1000 to 50, the same set of operations with bpy.ops is 0.03s - so extrapolating, it would be 0.6s for the 1000 objects and not 6s. It is as is with 1000 objects, we loose a factor 10 in speed in comparison than with 50 objects.  I tried reducing the complexity of my mesh changing the cubes in planes but it had no effect at whole on performance.  Is there something particular to know to improve these performance or a way to use the bpy.ops methods with better performances? Obviously, I am missing something important probably. This should be a fairly trivial problem. I'm trying to open an ofstream using a std::string (or std::wstring) and having problems getting this to work without a messy conversion.  std::string path = ".../file.txt";  ofstream output;  output.open(path);   Ideally I don't want to have to convert this by hand or involve c-style char pointers if there's a nicer way of doing this? Are users notified when their questions are reopened? Do users get notified when their question is reopened? I know there are no notifications , and that makes sense because 1) you assume the user is paying attention to their open, unanswered question, and they'll probably notice it's been put on hold and 2) it follows with the SE policy of (in general) not sending notifications for negative events.  However a reopening is a good thing, and once a question is closed it becomes less likely that the OP will be coming back to check on it often (so they might not notice the reopening otherwise). If there are not reopen notifications, why not? Or can we add them?