I appreciate you(r) noticing this
When is a gerund supposed to be preceded by a possessive adjective/determiner?
Comparing SVM and logistic regression Can someone please give me some intuition as to when to choose either SVM or LR? I want to understand the intuition behind what is the difference between the optimization criteria of learning the hyperplane of the two, where the respective aims are as follows:     SVM: Try to maximize the margin between the closest support vectors LR: Maximize the posterior class probability    Let's consider the linear feature space for both SVM and LR.  Some differences I know of already:   SVM is deterministic (but we can use Platts model for probability score) while LR is probabilistic. For the kernel space, SVM is faster (stores just support vectors) I want to prove  \begin{equation*} \tan A  + \tan B + \tan C = \tan A\tan B\tan C \quad\text{when } A+B+C = 180^\circ \end{equation*}  We know that   \begin{equation*} \tan(A+B) = \frac{\tan A+\tan B}{1-\tan A\tan B}~\text{and that}~A+B = 180^\circ-C. \end{equation*}  Therefore $\tan(A+B) = -\tan C.$ From here, I get stuck. Please help. If I have flagged a post, show me a "flags" link in my profile A virtual file containing the concatenation of other files Is there a way of creating a filesystem object akin to this:  mknod files p cat file1 file2 ... fileN &gt; files   but such that it can be seeked in, as if it were a regular file? Cannot empty trash I am trying to empty my trash, and it keeps giving me an error message that says,      .Trash can't be opened right now because it's being used by another task...     I have tried restarting my computer, running Finder > Secure Empty Trash everything yields the same result and error message from above. Linear functional on a Banach space is discontinuous then its nullspace is dense. Splicing a Javascript array from within the callback passed to forEach For a moderately complex query I am trying to optimize, I noticed that removing the TOP n clause changes the execution plan.  I would have guessed that when a query includes TOP n the database engine would run the query ignoring the the TOP clause, and then at the end just shrink that result set down to the n number of rows that was requested.  The graphical execution plan seems to indicate this is the case -- TOP is the "last" step.  But it appears there is more going on.  My question is, how (and why) does a TOP n clause impact the execution plan of a query?  Here is a simplified version of what is going on in my case:  The query is matching rows from two tables, A and B.    Without the TOP clause, the optimizer estimates there will be 19k rows from table A and 46k rows from table B.  The actual number of rows returned is 16k for A and 13k for B.  A hash match is used to join these two results sets for a total of 69 rows (then a sort is applied).  This query happens very quickly.  When I add TOP 1001 the optimizer does not use a hash match; instead it first sorts the results from table A (same estimate/actual of 19k/16k) and does a nested loop against table B.  The estimated number of rows for table B is now 1, and the strange thing is that the TOP n directly affects the estimated number of executions (index seek) against B -- it appears to always be 2n+1, or in my case 2003.  This estimate changes accordingly if I change TOP n.  Of course, since this is a nested join the actual number of executions is 16k (the number of rows from table A) and this slows down the query.  The actual scenario is a bit more complex but this captures the basic idea/behavior.  Both tables are searched using index seeks.  This is SQL Server 2008 R2 Enterprise edition. Can all circles of radius $1/n$ be packed in a unit disk, excluding the circle of radius $1/1$? This problem occurred to me when I came across a similar problem where the radii were taken over only the primes. That question was unanswered, but it seems to me infinitely many circles of radius $1/2, 1/3, 1/4...$ can fit into a unit disk. The area of all those circles would be $\pi \sum_2^\infty 1/n^2 = \pi^3/6 -\pi$, which is less than the area of the unit disk $\pi$. But can the circles actually be packed with no overlaps? Universal Chord Theorem How to implement a single instance Java application? Sometime I see many application such as msn, windows media player etc that are single instance applications (when user executes while application is running a new application instance will not created).  In C#, I use Mutex class for this but I don't know how to do this in Java. I have two complete sentences; the second is in parentheses, essentially a comment on the first.  Where do I place the periods?  I would use this:     They played opera. (I covered my ears.)   Is this punctuation correct? Do I need an airport transit visa for Dublin, Ireland en route to the UK? Value of $\frac{x^n -a^n}{ x-a}$? The "equal angles" law of refection on a flat mirror is a macroscopic phenomenon. To put it in anthropomorphic terms, how do individual photons know the orientation of the mirror so as to bounce off in the correct direction? Interpretation of ROC curve Error after installing search service application I got this this error after setting up Search Service Application with Powershell.     The search service is not able to connect to the machine that hosts the   administration component. Verify that the administration component      'a23fd668-f823- 4ab2-b0fc-b0baebfd4af2' in search application   'SharePoint_Search_Service' is in a good state and try again.   The Sharepoint Search Service was showing error when I visited   Central Administration->Application Management->Service Applications->     Manage Service Applications  Here is the powershell script used  $App1 = "APP-Server-01" $APP2 = "APP-Server-02" $SearchAppPoolName = "SharePoint_SearchApp" $SearchAppPoolAccountName = "EXSERV\Administrator" $SearchServiceName = "SharePoint_Search_Service" $SearchServiceProxyName = "SharePoint_Search_Proxy" $DatabaseName = "SharePoint_Search_AdminDB"   Create a Search Service Application Pool  $spAppPool = New-SPServiceApplicationPool -Name $SearchAppPoolName -Account     $SearchAppPoolAccountName -Verbose   Start Search Service Instance on all Application Servers  Start-SPEnterpriseSearchServiceInstance $App1 -ErrorAction SilentlyContinue Start-SPEnterpriseSearchServiceInstance $App2 -ErrorAction SilentlyContinue Start-SPEnterpriseSearchQueryAndSiteSettingsServiceInstance $App1 -ErrorAction         SilentlyContinue Start-SPEnterpriseSearchQueryAndSiteSettingsServiceInstance $App2 -ErrorAction        SilentlyContinue   Create Search Service Application  $ServiceApplication = New-SPEnterpriseSearchServiceApplication -Partitioned -Name        $SearchServiceName -ApplicationPool $spAppPool.Name -DatabaseName $DatabaseName   Create Search Service Proxy  New-SPEnterpriseSearchServiceApplicationProxy -Partitioned -Name       $SearchServiceProxyName -SearchApplication $ServiceApplication If Eren Jaeger dies without transfering his titan powers, will both powers transfer to the same child? It's told in the story that if a titan shifter dies without transferring his power, this power will go to an eldian person who just was born. If Eren Jaeger dies without transferring his titan powers, will the attack titan and the founding titan go to different persons?  Note that his is not a duplicate of  as this is not about what happens when a titan shifter dies. But what happens if a titan shifter with 2 powers dies, which is not answered in the answer. Computing convex hull of points using shapely Using Ubuntu 11.10, how do I format an external or USB drive? I don't find an option to 'format' when I right click. In the new version, the drives don't come up on the desktop, but instead come on the Launcher.