Integration of $1/\sin^3 x$
Integral $\int\csc^3{x} \ dx$
Run cmd.exe in Administrator mode without explorer.exe I've recently had trouble with explorer.exe not working.  I found a possible solution , using .  The problem is that I cannot "right-click Command Prompt, and then click Run as administrator", since explorer.exe does not work for even a second without crashing.  I tried to use the  to open cmd as administrator, but I get an error 1327 because I have a blank password.    My question is, is there any other way to run cmd.exe with admin privileges?  If not, is there any way to run sfc.exe without admin privileges?  If not, does anyone have solution to my original problem of explorer.exe stopping and restarting ad nauseam? Create an instance of an object from a String in Dart? Calculating percentage of overlap between 2 features from 2 different layers using ArcGIS Desktop? I have two layers. Layer 1 has features that are property/parcels with area in acres. Layer 2 has features that are wetlands/bodies of water with area in acres. I want to calculate parcels that have for example 0% wetlands, 10% wetlands, 20% wetlands, 30% wetlands etc. to 100% wetlands.   How can I do this on ArcGIS Desktop?   Ideally, I want to find parcels/properties that have a limited number or a limited percentage of wetland coverage. I find it curious that the most obvious way to create Date objects in Java has been deprecated and appears to have been "substituted" with a not so obvious to use lenient calendar.  How do you check that a date, given as a combination of day, month, and year, is a valid date?  For instance, 2008-02-31 (as in yyyy-mm-dd) would be an invalid date. How many cpu sockets does Windows 10 support? I would like to build a new computer (it's been 7 years since the last one). Does Windows 10 support more than one ? The range of $T^*$ is the orthogonal complement of $\ker(T)$ How can I prove that, if $V$ is a finite-dimensional vector space with inner product and $T$ a linear operator in $V$, then the range of $T^*$ is the orthogonal complement of the null space of $T$?  I know what I must do (for a $v$ in the range of $T^*$, I have to show that $v\perp w$ for every $w$ in $\ker(T)$ and then do the opposite), but I don't know how to show that this inner product is zero. Bottom of tool shelf grayed out SQL Server Query Plan Hash Collision I'm wondering if anyone can shed light on a worry of mine that a query_plan_hash collision could cause a query to be executed as an entirely different query.  The hash is a 16 digit Hex that sp_help sys.dm_exec_query_stats says is a binary. Therefore it's only a 64 bit hash, and a collision seems very probable (considering SHA1 [160 bit] was just verified to have had collisions).  Would the plan_hash and the query_plan_hash both have to collide for this (query to be executed as an entirely different query) to happen?  I'm also curious if there is a setting somewhere in SQL Server that will allow us to change this hash to SHA2-512 (to reduce the possibility of a collision). Our data is very important.  I searched high and low via Google and Stack Exchange forums. Divisor function asymptotics Define $\tau_{r}(n) = \sum_{d_1...d_r = n}1$.   One exercise in a book on sieve theory asked for an elementary proof by induction of the fact that   $$\sum_{n\le x}\tau_r(n) = \frac{1}{(r - 1)!}x(\ln x)^{r - 1} + O\left(x(\ln x)^{r - 2}\right)$$  The base case $r = 2$ is easy with reversing the order of summation.  The only other progress that I made was the fact that $\sum_{n\le x}\tau_{r}(n) = \sum_{d\le x}\left\lfloor\frac{x}{d}\right\rfloor\tau_{r- 1}(d)$, but I don't know how to proceed. What does the tilde at the end of a file name stand for? In Windows, I believe that files with a tilde in the file name represent files that are currently open in an application. For example, Microsoft Word creates a file with almost the same name as the file you currently have open, but with a tilde in the name. It's icon is also partially faded. As far as I'm aware, this signifies a temporary file that exists   in case the application crashes and you didn't get a chance to save your file, or to allow the original file to remain unlocked by the file system and accessible to other applications.   In Linux, I ran into a *.log file with a tilde at the end of the file name (scan.log~). Does that mean the log file is currently open in another application that is potentially writing to it? How to make use of Devel debugging functions on large or complex objects I am having trouble making real use of Devel's debugging functions kint() and dpm() in my modules and twig templates. They work fine for primitive variables, flat arrays and such, but if I want to inspect into some object like an EntityRerefenceFieldItemList they either cause the site to crash (white page) or generate so much data such that the scripts for expanding the list no longer work.  How do I circumvent these problems? The escape velocity of earth is roughly $11 kms^{-1}$. However, what if a long ladder was built extending out of Earth's atmosphere and considerably more. Then if something was to climb up at much less than the escape velocity, what would happen when it reached the end?  And what if the object that climbed the "ladder" then fired some kind of thruster/rocket and was going fast enough so that it orbited the Earth. It would mean less energy required to get into orbit? What are the badges I can earn on each site, and what are the exact criteria for earning each badge? Formerly List of all badges with full descriptions.  What are badge name's requirements? Why didn't I get badge name ? Which badges can I earn multiple times?    Jump to:                    Note: Some badges are awarded based on score. The term score means the total number of upvotes minus the total number of downvotes.  Any badge with a *** next to it is one of 20 badges that count towards the  displayed on a moderator candidate in an election. The candidate score is a total of 40 points: the first 20 are awarded based on the user's rep divided by 1000 and rounded down; the second 20 represents the total number of unique badges earned of the 20 that count. Note that if the same badge is earned multiple times, it will only count once towards the candidate score.  Any badge with a &quot;(retired)&quot; next to it is no longer awarded, but is retained by users who previously earned them. See  for more info on what it means for a badge to be retired.       Visit the  of the  on any site to see a complete list of badges that you can filter by earned, unearned, or type. How do I Sort a Multidimensional Array in PHP How to restart X Window Server from command line? How can I restart X Window Server from the command line?  I'd really like to be able to restart my GUI without having to do a full system reboot. bibtex and genitive / possessive 's: the proper way to obtain "Kuran's (1989) model" Is there an automatic way to attach a genitive apostrophe or " ' s " to an author's name?  Currently I use:  \citeauthor{kuran1989}'s \citeyear{kuran1989}   But since this comes up regularily I'd like to know whether there's a general solution. Using Boolean parameters in Python Script Tool of ArcPy? I'm using ArcGIS for Desktop 10.3.0.4322 I have a script tool which requires a parameter (folder path to a gdB, via GetParameterAsText) so that a later process can be saved there. The thing I want to do is make an Optional Boolean parameter, that when checked, automatically fills in the folder path gdB parameter. The Boolean text asks the user, &quot;Use default workspace?&quot;, to which if they check the box (boolean == True), then the folder path parameter will be automatically defaulted (saving the user a small amount of time). I have already created the Boolean parameter in the script tool, I am however unaware of how to &quot;fill in&quot; the required parameter based on the user's Boolean. Code Snippet: # Ask user to select the Geodatabase workspace to use for data output userWorkspace = arcpy.GetParameterAsText(0)  # Ask user if they want to use default workspace (boolean) useDefault = arcpy.GetParameterAsText(1)  # If user wants default workspace, then give it to the required parameter (0) if useDefault == True:  arcpy.env.workspace = path else:  # Set workspace environment based upon user's choice  arcpy.env.workspace = userWorkspace Input field for decimal property My VF tags:  &lt;apex:column &gt;     &lt;apex:facet name="header"&gt;Sales Price&lt;/apex:facet&gt;     &lt;apex:inputText value="{!prod.SalesPrice}"/&gt;     &lt;/apex:column&gt;   Controller code:  public string SalesPrice{get; set;} oli.UnitPrice =decimal.valueOf(pi.SalesPrice);   It works when a user insert 15 and 15.00 but it doesn´t with 15,00(comma).  I m using apex:inputText linked to a controller apex property because apex:inputfield is not allowed.  I´ve tried with apex:input with type=number but it doesn´t look good, (small button to increase/decrease inserted value). Is there another Visualforce tag that i can use with a property? Is the only solution to replace comma with dot in the controller? Validate decimal numbers in JavaScript - IsNumeric() What's the cleanest, most effective way to validate decimal numbers in JavaScript?  Bonus points for:   Clarity. Solution should be clean and simple. Cross-platform.   Test cases:  01. IsNumeric('-1')      =&gt; true 02. IsNumeric('-1.5')    =&gt; true 03. IsNumeric('0')       =&gt; true 04. IsNumeric('0.42')    =&gt; true 05. IsNumeric('.42')     =&gt; true 06. IsNumeric('99,999')  =&gt; false 07. IsNumeric('0x89f')   =&gt; false 08. IsNumeric('#abcdef') =&gt; false 09. IsNumeric('1.2.3')   =&gt; false 10. IsNumeric('')        =&gt; false 11. IsNumeric('blah')    =&gt; false Closed-Form Solution to Infinite Sum