I want to make a grid around all my points, convert to a polygon and use this to clip the extent of my data. I am using Arc 10.2.  How do I make a grid and then convert it to a polygon? Or is there a way to miss some of these steps?
We are doing the research about applying remote sensed data on hydro logical model . After delineating, the river basin from DEM data using Argis9.3, We have to map the remote sensed data derived from products like PERSIANN. Our task now is to create the grid with the same resolution with the available remote sensed data( for example 0.25degree x 0.25 degree). and have a certain corner that matches with the obtained data.   Does anyone know how to deal with our problem?
How to group distinct values from a list using odata rest api Hi I have a list with two fields "Regions" &amp; "Countries" I am using a rest api to retrieve the list of just regions like so: http:mysitename/_api/web/lists/getByTitle('TaxTool')/items?$select=Region  In the results there are lots of duplicates and I was wondering how to return unique values. If $f:\mathbb{R}\rightarrow \mathbb{R}$ is differentiable and $\lim_{x\to \infty } f^\prime(x)=0$ show that $\lim _{x\to \infty } (f(x+1)-f(x))=0$. Prove if $f:[a,b] \rightarrow \mathbb{R}$ is integrable, then so is $|f|$ and $\left|\int_{a}^{b}f(x)dx\right| \leq \int_{a}^{b}|f(x)|dx$ Prove that if $f:[a,b] \rightarrow \mathbb{R}$ is integrable, then so is $|f|$ and $\left|\int_{a}^{b}f(x)dx\right| \leq \int_{a}^{b}|f(x)|dx$   I already proved that |f| is integrable, but how do I show that $|\int_{a}^{b}f(x)dx| \leq \int_{a}^{b}|f(x)|dx$   ? Neutrino project in Tamil-Nadu India In , the Indian government is going to start a neutrino project.  Questions:   Is it harmful for people who stay there?   Will this project affect any living beings? Does it cause any pollution? Quantum Field Theory from a mathematical point of view Show that the series $\sum(\exp(\frac{(-1)^n}{n})-1)$converges, but not absolutely. Show that the series converges, but not absolutely. $\sum_{n=1}^{\infty}( $exp$(\frac{(-1)^n}{n})-1)$.   My Try:  Let $a_n=$exp$(\frac{(-1)^n}{n})-1$. I was going to use alternating series test because the sequence $\{a_n\}$ is alternating. But $\{|a_n|\}$ is not decreasing to $0$. So, I am stuck now. Can anybody please give me a hint? Equation of a line maintaining equal ratio distance between two points. Say I have two points. One at $A = (0, 0)$ and another at $B = (0, 10)$. I wish to derive an equation for a line that, for any point $P$ on the line, would equal a set ratio for the distance $P$ to $A$ and $P$ to $B$.  This is easy if the predetermined ratio for $A:B$ is $1:1$. I would create a line from $A$ to $B$, find its midpoint, then create an orthogonal line at the midpoint. Then at any $P$ on the line I know that the ratio distances from $P$ to $A$ and $B$ will be $1:1$.  But what if the ratio for $A:B$ is something like $11:18$?  This is for a positioning algorithm I am implementing - not for homework :)  EDIT: Note - If an exact formula is not possible, an approximation of the line out to $\pm 200$ from $A$ or $B$ is acceptable as values further from $A$ and $B$ will not be utilized anyway. A linear equation for the final result/approximation is ideal for speed in running multiple computations. When is the union of a family of subspaces of a vector space also a subspace? It is not difficult to prove that the union of a chain (or, more generally, a directed family) of subspaces of a vector space $V$ is a subspace of $V$.   Given a family $\mathcal{F}$ of subspaces of a vector space $V$ such that the union of $\mathcal{F}$ is a subspace of $V$, is it true that $\mathcal{F}$ is a directed family?  If not, is there a "nice" characterization of families of subspaces whose union is a subspace? In reading I am not sure if the issue below could have something to do with needing a custom wordpress ajax handler? All of these functions are inside my functions.php file. I have a couple of PHP functions that are supposed to pass information from one to another. The an AJAX call to the final function should produce the final result through that call. Its not happening. My count results in 0 and I am not understanding why. If I replace my query with a static array like [44,55,99,33] then it will pass the values ok. Likewise if I keep the query and simply replace the $id in the query and make it a static id such as '20' then it works. I would think that the id was the issue then and it wasnt pulling properly but it seems to work ok just not pass? function idx(){     global $wpdb, $id;       $getId = $_SERVER['REQUEST_URI'];     $ecp = explode('/', $getId);     if($ecp[3] != ''){         $id = $ecp[3];     }         return $id; } add_action( 'after_setup_theme', 'idx' );  =============================================== function Total_Result(){     global $wpdb;     $id = idx();        /*$resultx = [44,88,59,52];*/ ;      $resultx = $wpdb-&gt;get_results( $wpdb-&gt;prepare(&quot;SELECT * FROM {$wpdb-&gt;prefix}custom_form_submission_conversation as cc LEFT JOIN {$wpdb-&gt;prefix}custom_form_submission as cs on cc.fsid ='$id' WHERE fsid='$id'&quot; ));          $resultxs = array($resultx);          $total_result =  count($resultxs[0]);     echo  $total_result; }  when I var_dump $resultx I get: array(3) { [0]=&gt; object(stdClass)#1256 (36) { [“cid”]=&gt; string(3) “167” [“fsid”]=&gt; string(2) “20” [“specified_date”]=&gt; string(3) “yes” [“price_quote”]=&gt; string(4) “1140” [“posted_by”]=&gt; string(9) “dc_vendor” [“limit_count”]=&gt; string(1) “1” [“read_unread”]=&gt; string(1) “1” [“vendor_response”]=&gt; string(4) “zero” [“date_created”]=&gt; string(19) “2021-04-15 11:39:08” }   [1]=&gt; object(stdClass)#1257 (36) { [“cid”]=&gt; string(3) “186” [“fsid”]=&gt; string(2) “20” [“specified_date”]=&gt; string(3) “Yes” [“price_quote”]=&gt; string(3) “602” [“posted_by”]=&gt; string(8) “customer” [“limit_count”]=&gt; string(1) “1” [“read_unread”]=&gt; string(1) “1” [“vendor_response”]=&gt; string(4) “zero” [“date_created”]=&gt; string(19) “2021-04-15 11:39:08” }   [2]=&gt; object(stdClass)#1258 (36) { [“cid”]=&gt; string(3) “188” [“fsid”]=&gt; string(2) “20” [“specified_date”]=&gt; string(3) “yes” [“price_quote”]=&gt; string(4) “1017” [“posted_by”]=&gt; string(9) “dc_vendor” [“limit_count”]=&gt; string(1) “1” [“read_unread”]=&gt; string(1) “0” [“vendor_response”]=&gt; string(4) “zero” [“date_created”]=&gt; string(19) “2021-04-15 11:39:08” } }   so then I try and pass that data like so: function getvendorresponsestatus() {     global $wpdb; $id = idx();          $total_resultx = Total_Result($id);         die; }  Ive tried with and without the die();. The AJAX call is: setInterval(function(){     var ffiidd = jQuery('#ffiidd').val();     var ajaxurl = &quot;&lt;?php echo admin_url('admin-ajax.php'); ?&gt;&quot;;          jQuery.post(ajaxurl, {         action: &quot;vendorAjaxprog&quot;,         ffiidd: ffiidd     }, function(data) {         console.log(data);         jQuery.post(ajaxurl, {             action: &quot;getvendorresponsestatus&quot;, //&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt; this is the action that calls the function             fsid : ffiidd         },         function(datas) {             console.log('+ datas);             jQuery('.cust_vendor_top').html(datas);         });         if(data == 0){}else{             jQuery('.ajaxreload').html(data);                                     }     });               }, 5000);/*==30 seconds==*/  So the question is why wont it pass along the query array information but it passes a basic array or it will pass if I change the id in the query to be static? I know the query is good because of when I var_dumped it, I have results before I get to the Total_Result() function. Showing a set is closed under inverses Let $G$ be a finite group, say a group with $n$ elements, and let $\emptyset \neq S \subseteq G$. Suppose $e \in S$, and that $S$ is closed with respect to multiplication. Prove that $S$ is a subgroup of $G$.    Let $G = \{a_1, \ldots, a_n\}.$ Let $a_i \in G.$ Then any number of $a_ia_1, a_ia_2, \ldots, a_ia_n \in S,$ since $S$ is closed under multiplication. One of those $a_ia_j$ is $e$ since $e \in S.$ Then either $a_i$ or $a_j$ is $a^{-1}.$ Would this argument work? Which is the best visualization for contingency tables? Which is best plot, from statistical standpoint, to show a , which is typically being analyzed by chi-square test? Is it a dodged barplot, stacked barplot, heatmap, contour plot, jitterred scatterplot, multiple lines plot or something else? Should one show absolute values or percentages?  Edit: Or as @forecaster suggests in the comments, the table of numbers is itself a simple plot and should be sufficient. How to change Function (Fn) Key behavior on wireless Logitech keyboard Is Ubuntu compatible with my hardware? I am a bit financially strapped and received a Gateway GT5056 tower. The tower has an AMD dual core 64-bit processor in it. Will Ubuntu 12.04 run on this machine? I will not have any other application other than LibreOffice installed. What is a wave? Where are packages stored installed with APT in Ubuntu 16.04? How can I check if my computer's powerful enough to run a certain game? Is there a service that I can use to check if my machine will be able to run a certain game? Ratio test and the Root test Why is my bash prompt getting bugged when I browse the history? Often when I start looking at history of commands some of the characters from a command displayed aren't erased, for example:  What's happening:  prompt$ some_command prompt$ some_commanother_command   What should have happened:  prompt$ some_command prompt$ another_command   I can't erase those characters and bash ignores them when executing the command. They also disappear when a new prompt is being displayed (after pressing Enter for example).  I asked other people who work on Linux at my workplace and they said that they have that problem sometimes too, but they didn't have an idea on how solve that issue.  I have Ubuntu 11.10 and I'm using guake. Here is my PS1:  \e[0;31m\u \A ${PWD##*/}\e[0;32m$(parse_git_branch)\e[0;31m$\e[m   where parse_git_branch is  parse_git_branch () {     git name-rev HEAD 2&gt; /dev/null | sed 's#HEAD\ \(.*\)# (\1)#' }   As far as I know my colleagues have that problem even with less "fancy" PS1. Show that $\frac 1{1+x+y^{-1}}+\frac1{1+y+z^{-1}}+\frac1{1+z+x^{-1}}=1$ if $xyz=1$ We are conducting a test on a rare disease. A positive result means that, according to the test, the subject is infected. The following characteristics are known about the test and the disease: If a person is infected, the person has a $95\%$ chance of testing positive. When a healthy person is tested, the test has a $99\%$ chance of giving a negative result. A mere $0.1\%$ of the population is infected with the disease. If a person is tested positive for the disease. What is the probability that the person actually has the disease? I don't understand how to write the conditional probabilities if someone can explain to me than I should know how to solve it, but I'm not sure how to convert the text into the mathematics language.