Do I need to put "the" in front of correlation and negative?     We performed a correlation analysis to measure a correlation between job satisfaction and the shortage of nursing. We found that a negative correlation between job satisfaction and the shortage of nursing was indicated.
I can’t for the life of me figure out where to use a and where to use the — and where there is no article at all. Is there a simple rule of thumb to memorize?   The standard rule you always hear:     “If a person knows which item you are talking about then use "the"   . . . doesn’t clear things up for me, as I have no idea whether or not they know.
Why do I need an extended partition? What is an extended partition? Why do I need to use it to install Ubuntu if I already have four partitions that are factory installed? If $E$ has Lebesgue measure $0$, must there exist a translate such that $E\cap E+x=\varnothing$? If $y\in E\cap E+x$ then $y=h=h'+x \implies x=h-h'$ for $h,h'\in E$. Likewise, if $x=h-h'$, then $h\in E\cap E+x$. So that $E\cap E+x$ is non empty iff $x=h-h'$ where $h,h'\in E$. Thus, if there exists a real $x$ which cannot be expressed as above, the result is proven. The problem is I cannot prove that such an $x$ must exist. I have tried assuming that all real $x$ are of that form, but that gives me nothing except that $E$ must be uncountable and unbounded. Any hints? The question is if you have a situation where one of the singular values is equal to 0 in a singular value decomposition of a matrix, how to do you procede to find the column vector of U corresponding to this singular value?   Usually I found the columns of U with this relation, so let's say that we refer to $\vec{u_2}$ as the U column vector corresponding to singular value equal to 0:  $\vec{u_2} = (1/s_2)Av_2$  Now the as we can see the 0 is in an illegal place, since you can't divide by zero. But if you move it to the left side, I still can't quite see how to find the column of U corresponding to it. Any suggestions?  Here is an example of a matrix that provided this specific challenge  $ A = \left(\begin{array}{rrr} -3 &amp; 1 \\ 6 &amp; -2 \\ 6 &amp; -2 \end{array}\right). $  $ \lambda{_1} = 90$,  $\lambda{_2} = 0$,  $s_1 = 3 \sqrt{10}$,  $s_2 = 0$,  How can one find $\vec{v_2}$ when $\lambda{_2} = 0$? In this case, you know that the eigenvectors of $A^{t} A$ are orthogonal, solve for $\lambda{_2}$ and find the eigenvector if it's orthogonal to the eigenvector corresponding to the first eigenvalue you have your solution.  So we end up with the following normalized column vectors for V, which we can see are orthogonal:  $ \vec{v_1} = \left(\begin{array}{rrr} -3/\sqrt{10} \\ 1/\sqrt{10} \\ \end{array}\right). $  $ \vec{v_2} = \left(\begin{array}{rrr} 1/\sqrt{10} \\ 3/\sqrt{10} \\ \end{array}\right). $ How to prevent non-alphanumeric input in javascript? I have this below code where i am trying to first search an account name and on hit button it displays the result set.  On the button click i am also loading an child component which is displaying the id of the record.  I need the child component should get displayed once i click on the record.  How can i achieve this -   Parent Component -   &lt;aura:component controller="SimpleAccountController"&gt;     &lt;aura:attribute name="account" type="account[]"/&gt;     &lt;ui:outputText aura:id="outName" value="" class="text"/&gt;     &lt;ui:inputText aura:id="name" label="Enter Name:" placeholder="Your Name" /&gt;     &lt;ui:button aura:id="button" buttonTitle="Click to see what you put into the field" class="button" label="Click me" press="{!c.getInput}"/&gt;     &lt;aura:iteration var="acc" items="{!v.account}"&gt;             &lt;a onclick="{!c.accountselected}" data-recId="{!acc.Id}"&gt;         &lt;p&gt;{!acc.Name} : {!acc.Type} : {!acc.Industry} : {!acc.Rating}&lt;/p&gt;             &lt;/a&gt;         &lt;c:HelloWorkdChildCmp selectedaccount="{!acc.Id}" /&gt;     &lt;/aura:iteration&gt; &lt;/aura:component&gt;   COntroller -   ({     getInput : function(cmp, evt) {         var myName = cmp.find("name").get("v.value");         var myText = cmp.find("outName");         var greet = "Hi, " + myName;         myText.set("v.value", greet);         var action = cmp.get("c.seaAcc");         action.setParams({ "s" : myName });         action.setCallback(this, function(response) {             var state = response.getState();             if (state === "SUCCESS") {                 cmp.set("v.account", response.getReturnValue());                 //alert("From server: " + response.getReturnValue());             }         });         $A.enqueueAction(action);     },      accountselected : function(cmp, evt) {        console.log(evt.currentTarget.getAttribute("data-recId")) ;     }  })   Child component -   &lt;aura:component &gt;     &lt;aura:attribute name="selectedaccount" type="String"/&gt;     &lt;div&gt;Id: {!v.selectedaccount}&lt;/div&gt; &lt;/aura:component&gt; We (Russian citizens) are planning to go to Munich in late June. We would like to book our accommodation on AirBnB, but it is not very clear whether it will be accepted by the German embassy when we apply for a Schengen visa.  I can't find such information on the German embassy site or on the VFS-Global site. I've also searched for it on the Internet, and, while most sites agree that AirBnB booking is generally OK for a visa, I don't see a clear answer for Germany specifically, and there seems to be some exceptions for other European countries. What price should I charge for design services? I was hoping I would find some people in the industry that could help me decide what's the best price to charge to design (in this case) business cards.  What are standard prices for professional designers?  From a firm point of view? From a freelancer?  I don't want to overcharge clients but I don't want to ruin the industry by underselling my services. I have some pairs of datasets (n=200 or thereabouts), of samples which are non-negative and not normally distributed. I think these pairs of variables are related, probably linearly.   Calculating Spearman's rank correlation on these datasets gives some strange results. The correlation coefficients show that the pairs of variables are weakly, positively correlated (e.g. rho of around 0.4), but the p-values are very low (e.g. 4.1e-10).  My vague understanding of this is that the variables are weakly, positively correlated but the probability of unrelated variables producing the same correlation is very low. Does this mean we can be reasonably certain that a positive correlation exists or have I misunderstood? Should we sign-then-encrypt, or encrypt-then-sign? Two sidebars in Beamer for two presentations in one tex file Adding HTML5 placeholder to all drupal forms I'm trying to add the placeholder attribute to all textfields across my website, but I'm having no luck.  I've created a module that overrides hook_form_alter  function mymodule_form_alter(&amp;$form, &amp;$form_state, $form_id) {     foreach ($form as $key =&gt; $value) {         if ("textfield" == $value["#type"]){             $value['#attributes']["placeholder"] = t($value["#title"]);         }     } }   I should tell you that I'm also using the webform module. If $A$ and $B$ are square matrices such that $AB = I$, where $I$ is the identity matrix, show that $BA = I$.    I do not understand anything more than the following.   Elementary row operations. Linear dependence. Row reduced forms and their relations with the original matrix.   If the entries of the matrix are not from a mathematical structure which supports commutativity, what can we say about this problem?  P.S.: Please avoid using the transpose and/or inverse of a matrix. A closed form for a triple integral with sines and cosines Is there any way other than instanceof operator for object type comparison in java? I remember reading in some Java book about any operator other than 'instanceof' for comparing the type hierarchy between two objects.  instanceof is the most used and common. I am not able to recall clearly whether there is indeed another way of doing that or not. The warlock's Thirsting Blade eldritch invocation cannot be normally used with the (non-warlock) class feature Extra Attack, since both feature explicitly say you attack twice instead of once. But it seems to me that you could use both features (if you have them) when using Two-Weapon Fighting.  Assume your character is wielding two light weapons, one of which is your pact weapon. You take the Attack action on your turn to attack twice with your non-pact weapon using your  class feature.  Then, given the Two-Weapon Fighting rules, you use your bonus action to attack once using your pact weapon this time.  The  rules (PHB p. 195) state:     When you take the Attack action and attack with a light melee weapon that you're holding in one hand, you can use a bonus action to attack with a different light melee weapon that you're holding in the other hand.   But since your have the Thirsting Blade invocation, and you used the Attack action, you get to attack twice with your pact weapon.  The Thirsting Blade  (PHB p. 111) says:     You can attack with your pact weapon twice, instead of once, whenever you take the Attack action on your turn.   Does this combo work within the rules, or is there any interaction I'm not aware of? I have two servers (both servers are on Windows OS):   Server_A running Oracle 12c Server_B running SQL Server 2014   I want these servers to be able to see each other, so I can SELECT anything I want in Server_A from Server_B and vice versa.  I only want the ability to run SELECT queries (not INSERT, UPDATE, DELETE or any DDL queries), and also if possible to EXECUTE procedures.  What options or technologies we have for achieving this issue and which one is better?    Tell me if any software I have to install or any configuration have to be set on each of servers. I appreciate explaining the instructions step by step. Why do soap operas have the soap opera effect? The soap opera effect occurs when frame interpolation is used. For example, if a movie is shot at 24 frames per second and then shown on a TV screen which is capable of displaying 60 frames per second then it is possible to use a computer to do motion interpolation. In other words the computer can average (interpolate) two frames and create a synthetic third frame and stick it between the two real frames.  This interpolation makes the picture look unnatural and plastic, somewhat like soap operas look on TV, hence the name.  My understanding of why soap operas have the soap opera effect has something to do with the fact that many of them are shot using camcorders instead of film, but I am not completely sure.  Why do soap operas have the soap opera effect? I installed nginx a while ago using the ubuntu PPA repository.  Now I want to compile nginx from source so I can compile in and use the geo-ip module.  I know how to compile the new nginx from source.  How can I remove the nginx binary which was installed by the package?  I want to leave all the configs and logs and upstart stuff etc untouched.  I really just want to remove the old binary.  How can I do this? There are so many questions on this website. There is so many questions on this website.  The former &quot;sounds right,&quot; but the contracted form of the latter does as well:  There's so many questions on this website.  Which is correct? Valid US visa on expired passport. Can I travel to the US? My old passport is in my maiden name and has already expired. My B1/B2 visa to travel to United States is still valid but is stamped in my old passport with my maiden name.   My new passport has my new name (old name got changed after marriage) but has details (like old passport number, father and mother's name) related to my old passport.    Will I be allowed to travel to US as long as I carry the my old as well as new passport?  Or Do I need to again get the visa stamped on my new passport?