source string | task_type string | in_source_id string | instruction_seed string | gold_standard_solution string | verification_info string | metadata string | problem_id string | _source string |
|---|---|---|---|---|---|---|---|---|
stackexchange | llm_judgeable_groundtruth_similarity | 201027 |
Below is a question asked on the forum mathematica.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
I am trying to evaluate Integrate[x^2*Exp[I k (x - 1)], {k, -∞, ∞}, {x, -∞, ∞}] Since $\frac{1}{2\pi}\int_{-\infty}^{\infty} e^{ik(x-1)} d{k}$ is $\delta(x-1)$ , ... | It looks like OP is interested in seeing how the integral can be done without using a black box like FourierTransform function. As mentioned in the comments, when we do not think of this integral as a distribution, it behaves badly and seems to diverge. Therefore, it is useful to regularize the integral by introducing ... | {} | {'log_upvote_score': 4, 'links': ['https://mathematica.stackexchange.com/questions/201027', 'https://mathematica.stackexchange.com', 'https://mathematica.stackexchange.com/users/66297/']} | jdg_358086 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 72737 |
Below is a question asked on the forum security.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
The Linux ether-wake utility, which creates a magic packet to wake on lan another machine, requires root access: $ether-wake 12:34:56:78:9A:BCether-wake: This progra... | That utility needs root access because it uses a raw ethernet socket. In a similar way, ping needs root access, as it also uses raw sockets. The difference is that (on most systems) ping is suid-root so any user can run it. If you're happy with non-root users generating these packets, you can make etherwake suid-root, ... | {} | {'log_upvote_score': 4, 'links': ['https://security.stackexchange.com/questions/72737', 'https://security.stackexchange.com', 'https://security.stackexchange.com/users/4323/']} | jdg_285256 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 45643005 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I've tried to search over what seems to be the entire internet, but I'm still vexed by a problem with a JS class I'm writing for a Micro Service (still in learning a bit). So... | When you do this: router.get('/users', userController.list); what gets passed to your router is just a reference to the .list method. The userController instance gets lost. This is not unique to routers - this is a generic property of how things are passed in Javascript. To understand further, what you are essentiall... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/45643005', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/7012402/']} | jdg_328291 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 16256365 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
When I run this program as is, the text is returned without any spaces. How do I get it to recognize each individual word separately? int main(){ ifstream input1; input... | Your observable array usage e.g self.events.push(event); is correct (because observable array implements push ), only your alerts are wrong. The correct calls would be alert(self.events().length)alert(self.events()[0].name()); Because you need to call the observable array as a function like the regular ko.observable to... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/16256365', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2267174/']} | jdg_193239 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 41827388 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
What ever link I type in the address bar it keeps redirecting me to the login page. How can I prevent that? For example if i add http://localhost:8080/asdasdsa > it will redi... | You configured that all other URLs must be authenticated, see Spring Security Reference : Authorize Requests Our examples have only required users to be authenticated and have done so for every URL in our application. We can specify custom requirements for our URLs by adding multiple children to our http.authorizeReque... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/41827388', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4291394/']} | jdg_324336 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 47538015 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
what's the advantage of using: this.refs.id.value versus using: document.getElementById('newID').value is it just shorter syntax or is something else going on?
Now provide t... | The benefit is using ref has good reusability and scope. Because ref only stay in this component, when you manipulate this ref, it won't interfere other component. If you use id , it has duplicate problem. Think about this component. class Demo extends React.Component { componentDidMount() { document.getElementById... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/47538015', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4398966/']} | jdg_372268 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 36305380 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I am trying to start the Elastic Search service on a Windows 2008 R2 server, but it's failing to start. It had previously been running for several months without issue. In se... | There is a very high probability that your Java Runtime Environment was auto-updated. This will break Elastic Search because you have an environment variable called JAVA_HOME that is now pointed at the wrong location. First, go into program files / java and find the new folder of JRE. It is probably a later version num... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/36305380', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/417792/']} | jdg_249884 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 50150668 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I have the following component with a slot: <template> <div> <h2>{{ someProp }}</h2> <slot></slot> </div></template> For some reasons, I have to manually ... | I looked into TypeScript definition files of Vue.js and I found an undocumented function on Vue component instance: $createElement() . My guess is, it is the same function that is passed to render(createElement) function of the component. So, I am able to solve it as: const Constr = Vue.extend(MyComponent);const instan... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/50150668', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5723098/']} | jdg_115522 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 551504 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
How can I prove this? $$\int_{-\infty}^{\infty}\frac{\log(1+x^4)}{x^4}dx=\frac{2\sqrt{2}}{3}\pi$$
Now provide the response and nothing else.
| I will use complex analysis in the form of Cauchy's theorem, just for those who want to see it here. (Maybe that is just me.) Consider the contour integral $$\oint_C dz \frac{\log{(1+z^4)}}{z^4}$$ where $C$ is the following contour: Note that this is a semicircle in the upper half plane, deformed to avoid the branch ... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/551504', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/-1/']} | jdg_131835 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 60459 |
Below is a question asked on the forum unix.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
What I get: host:~ user$ cat example.txtsome texthost:~ stas$ What I want to get: host:~ user$ cat example.txtsome texthost:~ stas$ Is there a way I can make cat behave ... | Most unix tools are designed to work well with text files. A text file consists of a sequence of lines. A line consists of a sequence of printable characters ending with a newline character. In particular, the last character of a non-empty text file is always a newline character. Evidently, example.txt contains only so... | {} | {'log_upvote_score': 6, 'links': ['https://unix.stackexchange.com/questions/60459', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/9998/']} | jdg_119455 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 17871730 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
i have been asked to code a memory game, with some specifics, where the reveled letter shows the first time then, if the user in the 2nd prompt guesses the corresponding matc... | You'll have to write your own custom JsonConverter and use it to intercept the decimal type so you can change how it gets serialized. Here's an example: public class DecimalFormatConverter : JsonConverter{ public override bool CanConvert(Type objectType) { return (objectType == typeof(decimal)); } pu... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/17871730', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2574882/']} | jdg_172186 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 27726769 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I'm making a very simple app where the user enters the number of people in the first Screen. In the second screen it generates a number of UITableViewCell based on the number... | There is a problem with your approach if the number of rows in your table exceeds the number that can fit on screen. In that case, the cells that scroll off-screen will be re-used, and the contents of the nameInput textField will be lost. If you can be sure that this will never happen, use the following code (in the ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/27726769', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4394634/']} | jdg_198081 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1847691 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
Find the Prime Factorization of $\varphi(11!)$ What I did: $\varphi(11!)=\varphi(11)\cdot\varphi(10)...\varphi(1)$ $$\varphi(11)=2\cdot 5\\\varphi(10)=2^2\\\varphi(9)=3\... | \begin{align} & \bigg\lfloor \frac{11}{2} \bigg\rfloor+\bigg\lfloor \frac{11}{4} \bigg\rfloor+\bigg\lfloor \frac{11}{8} \bigg\rfloor=8 \\ & \bigg\lfloor \frac{11}{3} \bigg\rfloor+\bigg\lfloor \frac{11}{9} \bigg\rfloor=4 \\ & \bigg\lfloor \frac{11}{5} \bigg\rfloor=2 \\ & \bigg\lfloor \frac{11}{7} \bigg\rfloor=1 \\ ... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/1847691', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/306803/']} | jdg_219206 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 12337744 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I need to convert <input type="text" value="1" class="simpleCart_input"> to plain text. Like I need it to be something like <span class="simpleCart_input">1</span> But how?
... | You can use replaceWith . $('.simpleCart_input').replaceWith(function(){ return '<span class='+this.className+'>'+this.value+'</span>'}) http://jsfiddle.net/fsVRe/ or: $('.simpleCart_input').replaceWith(function(){ return $('<span/>', { 'class': this.className, text: this.value ... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/12337744', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/-1/']} | jdg_293118 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 226903 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
I am considering a following problem: Does $$\\a_{2k}, a_{2k+1}, a_{3k} \rightarrow g $$imply that $$a_{n} \rightarrow g ?$$I know that if every subsequence goes to $g$ ... | If the even numbered terms and odd numbered terms both converge to the same limit $L$, then the limit of the sequence exists and is $L$. To prove this, let $\epsilon > 0$ be arbitrary. We want to find $N \in \mathbb{N}$ such that $n > N$ implies $|a_n - L| < \epsilon$. Since the even numbered terms are all within epsil... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/226903', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/46034/']} | jdg_338803 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 19092545 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I have a class: class MyClass { public MyClass getParent() { ... } public MyClass[] getChildren() { ... } ....} and a subclass MySubClass extends MyClass { public String ... | You can use the self-type pattern: class MyClass<T extends MyClass<T>> { public T getParent() { ... } public List<T> getChildren() { ... } // you can use an array here too, but don't :)}class MySubclass extends MyClass<MySubclass> { public String getId() { ... }} You can implement your getParent and getChildren me... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/19092545', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1869090/']} | jdg_211532 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 29175 |
Below is a question asked on the forum physics.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
I really can't understand what Leonard Susskind means when he says in the video Leonard Susskind on The World As Hologram that information is indestructible. Is that ... | How is the claim "information is indestructible" compatible with "information is lost in entropy"? Let's make things as specific and as simple as possible. Let's forget about quantum physics and unitary dynamics, let's toy with utterly simple reversible cellular automata. Consider a spacetime consisting of a square lat... | {} | {'log_upvote_score': 6, 'links': ['https://physics.stackexchange.com/questions/29175', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/1916/']} | jdg_266131 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 251988 |
Below is a question asked on the forum serverfault.com. Provide a good and informational response to it like a helpful human would.
Question:
I've got a scripter who is using a proxy to attack a website I'm serving. I've noticed that they tend to access the site via software with a certain common user agent string (i... | you can deny access by BrowserMatch and Deny from SetEnvIfExample: SetEnvIfNoCase User-Agent "^Wget" bad_botSetEnvIfNoCase User-Agent "^EmailSiphon" bad_botSetEnvIfNoCase User-Agent "^EmailWolf" bad_bot<Directory "/var/www"> Order Allow,Deny Allow from all Deny from env=bad_bot</Directory> To perma... | {} | {'log_upvote_score': 5, 'links': ['https://serverfault.com/questions/251988', 'https://serverfault.com', 'https://serverfault.com/users/17925/']} | jdg_174650 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 37217 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
How can I factorize $x^3-3x+2$ ? The answer that I got on the internet is $x^3-2x^2+x+2x^2-4x+2$=$(x-1)^2(x+2)$ It would be nice if anyone could also tell what these typ... | They are called cubic functions / cubic equations. A closed formula for the solutions exists but it is quite ugly so the common method to factorize the term is to guess one root $x_0$ and then do long division by $(x-x_0)$. So the method one would be to use the formula on$x^3-3x+2=0$ and find that the roots are $1,1,-2... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/37217', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/10527/']} | jdg_353843 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 11852604 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I'm not quite understanding this fragment lifecycle business. I have a pretty standard 3 page horizontal slider view Pager layout for a "view details" section of my app. I st... | ViewPager is quite zealous in shutting down things it isn't currently using, and this is exactly what is happening here. The default behaviour is for ViewPager to "keep around" one page either side of the page being viewed, and destroy the rest. Hence in your 3-page view, page 3 gets destroyed when selecting page 1, th... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/11852604', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/62068/']} | jdg_265804 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 957388 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Here is the example that I have run. It has the same Mode, Padding, BlockSize, KeySize. I am using the same init vector, key and data. Using the RijndaelManaged produces an... | Response from Microsoft: RijndaelManaged class and AesCryptoServiceProvider class are two different implementations. RijndaelManaged class is a kind of implementation of Rijndael algorithm in .net framework, which was not validated under NIST (National Institute of Standards and Technology) Cryptographic Module Validat... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/957388', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/95573/']} | jdg_103970 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 25174974 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
How do I cast an Task<IEnumerable<IMapLocationItem>> to an IEnumerable<IMapLocationItem> ? Here is my code that gets a Task<IEnumerable<IMapLocationItem>> : public async Task... | From the MSDN website http://msdn.microsoft.com/en-us/library/hh191443.aspx // Signature specifies Task<TResult> async Task<int> TaskOfTResult_MethodAsync() { int hours; // . . . // Return statement specifies an integer result. return hours; } // Calls to TaskOfTResult_MethodAsync Task<int> returnedTask... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/25174974', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3736648/']} | jdg_111278 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 4975354 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I have a razor view that I added a delete button to inside of an 'if' statement and when the view is rendered in the browser it is displaying "System.Web.Mvc.Html.MvcForm" ne... | The recommended way to generate a form is the following: <div id="deletestatusupdate"> @if (update.User.UserName.Equals(User.Identity.Name, StringComparison.OrdinalIgnoreCase)) { using(Html.BeginForm("deleteupdate", "home")) { @Html.Hidden("returnUrl", Request.Url.ToString()) <... | {} | {'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/4975354', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/612699/']} | jdg_324738 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 584230 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
Let's say you have a few expressions like the following: $$\begin{array}((x+17)^2 \\x^2 + 34x + 289 \end{array} \\288 + \frac{x^2}{2} + \frac{x^2}{2} + 34x + 1 \\[...]$$... | In general, this is a hard problem. For classes of expressions for which there is a canonical form, such as polynomials (in any number of variables), the answer is straightforward: two expressions are equal if and only if they have the same canonical form. (A canonical form means that for each expression there is one ... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/584230', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/112004/']} | jdg_350556 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 38148857 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I'm currently trying to write an extension for a new file type (ANTLR) and wonder how to change the colors used for syntax highlighting in Visual Studio Code. To me it looks ... | There are two concepts at play here: language grammars, which turn a text file into tokens with different scopes , and themes, which colorize those scopes in a (hopefully) eye-pleasing way. If you're writing your own grammar, or converting from TextMate etc., there's a chance you're using different scopes than the ones... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/38148857', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1137174/']} | jdg_110215 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 20740632 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Where can I find the mapping between Android permissions (that we define in the manisfest file ) to corresponding API calls /methods? For example GET-ACCOUNTS” is a permissio... | The mapping is not provided by Google, but two three major research studies have been attempted to recover this information. The first study was done by Berkeley using a dynamic analysis technique to mine the mapping from Android 2.2. They created an online tool where you can submit your app for some analysis (now offl... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/20740632', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1737225/']} | jdg_166896 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 23490152 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I'm trying to pass a list of arguments with argparse but the only way that I've found involves rewriting the option for each argument that I want to pass: What I currently us... | Use nargs : ArgumentParser objects usually associate a single command-line argument with a single action to be taken. The nargs keyword argument associates a different number of command-line arguments with a single action. For example, if nargs is set to '+' Just like '*' , all command-line args present are gathered... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/23490152', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3560309/']} | jdg_186761 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3435933 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I have a system comprising 5 applications. Each app accesses a database via a DAL library. In the DAL i have an app.config with the following entry: <connectionStrings><add... | This is a classical interview question, and is usually presented like this: Devise a stack-like data structure that does push, pop and min (or max) operations in O(1) time. There are no space constraints. The answer is, you use two stacks: the main stack, and a min (or max) stack. So for example, after pushing 1,2,3,4,... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/3435933', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/414019/']} | jdg_124295 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3377103 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
This seems trivial I just can't think of a formal proof for it. I was thinking of using the contrapositive, which would be: If a set of vectors S is linearly dependent a... | The answer is yes the set is still linearly independent. Assume that missing vector is $v_n$ and let $$\lambda _1v_1 + \lambda _2v_2+....+\lambda _{n-1}v_{n-1} =0$$ You need to show $$ \lambda _1 = \lambda _2 =...= \lambda _{n-1} =0$$ Consider the linear combination $$\lambda _1v_1 + \lambda _2v_2+....+\lambda _{n-1}v_... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/3377103', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/710401/']} | jdg_245811 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 46208897 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I trying to create a view that is above other applications: WindowManager.LayoutParams paramsDirectorView = new WindowManager.LayoutParams( WindowManager.LayoutParams.... | I had the exactly same issue. I guess you should differentiate the target (before and after Oreo) int LAYOUT_FLAG;if (Build.VERSION.SDK_INT >= Build.VERSION_CODES.O) { LAYOUT_FLAG = WindowManager.LayoutParams.TYPE_APPLICATION_OVERLAY;} else { LAYOUT_FLAG = WindowManager.LayoutParams.TYPE_PHONE;}params = new ... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/46208897', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/8606178/']} | jdg_313842 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 18247210 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I'm very new to android programming so please forgive my noobie-ness. I'm trying to create a very simple activity that will have one TextView in the middle of the Layout and ... | postDelayed is non blocking, meaning it would add it to a queue of I'll do this later. So what you are probably seeing is all text updates happening together at the 7th second. I say this because you are postDelay ing from the onCreate method when in reality you probably want to do it from onResume or even onPostResume... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/18247210', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2680977/']} | jdg_218576 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 28487909 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I want to validate that the approach I'm using is correct when it comes to extend a prototype - supposing "extend" is the right word. This topic gets a lot of clones. I'm sti... | In general your approach will work but a better approach will be to replace: Child.prototype = new Parent; with: Child.prototype = Object.create(Parent.prototype); This way you don't need to call new Parent , which is somewhat an anti-pattern. You could also define new properties directly as follows: Child.prototype = ... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/28487909', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/987818/']} | jdg_289422 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 38206 |
Below is a question asked on the forum electronics.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
I have a 2 MHz SPI bus but one thing I've noticed that is that some of my signals often 'shiver'. Yes my trigger is setup properly so I don't think the issue lies... | What your scope shows is a classic example of jitter , which means an error in the timing of an event (rising or falling edge), independent of whether there's any voltage noise on the signal. But what can cause the jitter in your system? As you speculate, if the uC main clock is jittery that jitter will most likely tra... | {} | {'log_upvote_score': 4, 'links': ['https://electronics.stackexchange.com/questions/38206', 'https://electronics.stackexchange.com', 'https://electronics.stackexchange.com/users/3966/']} | jdg_128448 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 20982914 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I am new to both NAudio and C# and I managed to create a simple MP3 player where you can choose a file and play it. It also has a play/pause button. I would now like to add a... | Apart from the purely UI-based concerns, there are three basic things you need to be able to do: Read song length. Get playback position. Set playback position. Song length and current playback position are simple enough - they are available via the TotalTime and CurrentTime properties of the WaveStream object, which m... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/20982914', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2138457/']} | jdg_79123 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 27484344 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I am using python 3.4, Django 1.7.1 (the version considered in the book), Postgres 9.3 and my IDE is Eclipse. I have been studying the book "Lightweight Django - Elman and La... | Read the DRF docs here . In version 2.x a serializer class could sometimes automatically determine the queryset argument if a ModelSerializer class was being used. This behavior is now replaced with always using an explicit queryset argument for writable relational fields. You are just using a newer version of DRF than... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/27484344', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2065691/']} | jdg_135294 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 382377 |
Below is a question asked on the forum unix.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
I am using nohup command from a while like nohup bash life.bash > nohup.out 2> nohup.err & In the nohup.err file I always have a line nohup: ignoring input . Can you ple... | That’s just nohup telling you what it’s set up; it outputs that to its standard error, which you’ve redirected to nohup.err . You can avoid the message by redirecting its standard input: nohup bash life.bash > nohup.out 2> nohup.err < /dev/null & nohup checks its standard input, standard output and standard error to se... | {} | {'log_upvote_score': 5, 'links': ['https://unix.stackexchange.com/questions/382377', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/83681/']} | jdg_178239 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 34174750 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I am trying to run a console controller from the terminal, but i am getting this errors every time Error: Getting unknown property: yii\console\Application::user here is the ... | Console application does not have Yii->$app->user . So, you need to configure user component in config\console.php . like as, config\console.php 'components' => [ ......... ...... 'user' => [ 'class' => 'yii\web\User', 'identityClass' => 'app\models\User', //'enableAutoLogin' => ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/34174750', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1646274/']} | jdg_169922 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 6175209 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
What is the best way to implement C++/Java IPC for the following situation? (Someone recently asked a similar question , but my requirements are more specific) I have two pro... | I'd suggest you to use TCP sockets . The actual overhead of TCP sockets, as of my experience, is very very low compared to the other tasks' workload of the applications, at least the ones I use to develop. I mean, sometimes even if sockets' latency is twice as the latency of other IPC mechanisms, in the overall workflo... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/6175209', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/67063/']} | jdg_270323 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3611 |
Below is a question asked on the forum computergraphics.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
I am decrementing/incrementing position x until it reaches y. However, this creates a rectangular-like path. I want position x to smoothly curve towards y (d... | The counter you want is built in the shader as gl_VertexID . However you have 16 attributes of 4 components each to work with. Take 2 components for the texture coordinates and you have 62 float values to play with. If you need 6 components per blend shape (3 pos + 3 normal) you get 10 blend shapes to work with per obj... | {} | {'log_upvote_score': 4, 'links': ['https://computergraphics.stackexchange.com/questions/3611', 'https://computergraphics.stackexchange.com', 'https://computergraphics.stackexchange.com/users/-1/']} | jdg_325741 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1994676 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I want to detour EndScene from an arbitrary DirectX 9 application to create a small overlay. As an example, you could take the frame counter overlay of FRAPS, which is shown ... | You install a system wide hook. (SetWindowsHookEx) With this done, you get to be loaded into every process. Now when the hook is called, you look for a loaded d3d9.dll. If one is loaded, you create a temporary D3D9 object, and walk the vtable to get the address of the EndScene method. Then you can patch the EndScene ca... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/1994676', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/151706/']} | jdg_70240 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 912094 |
Below is a question asked on the forum serverfault.com. Provide a good and informational response to it like a helpful human would.
Question:
For some reason, when I try to save a file (generated by PHP under /www/appname/module ) - it is saved under /tmp/systemd-private-015eb2e9f67b4eef862c68e99fe0ba30-apache2.serv... | That is a systemd security setting that creates a service specific private temp directory. Your apache systemd unit will file have a setting: ...[Service]ExecStart=...PrivateTmp=yes... This option will ensure that the /tmp directory the service will see is private and isolated from the host system's /tmp . /tmp traditi... | {} | {'log_upvote_score': 4, 'links': ['https://serverfault.com/questions/912094', 'https://serverfault.com', 'https://serverfault.com/users/246058/']} | jdg_199676 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2578133 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
In my web application, I have a dynamic query that returns huge data to datatable, and this query is often recalled with different parameters. So database is exhausted. I wan... | This is one of my pet peeves - people who return all the data from the database. There is absolutely no need for this unless you are doing reporting. If you are doing reporting, then you need to increase your hardware capability so that the database can cope. This may also include tuning your database, rearranging tabl... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/2578133', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/439507/']} | jdg_295097 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3323651 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
In Python, a dictionary can be constructed from an iterable collection of tuples: >>> listOfTuples = zip(range(10), [-x for x in range(10)])>>> listOfTuples[(0, 0), (1, -1), ... | Using Scala 2.8.0 final, you can do it like this: scala> val tuplePairs = List((0,0),(1,-1))tuplePairs: List[(Int, Int)] = List((0,0), (1,-1))scala> tuplePairs.toMapres0: scala.collection.immutable.Map[Int,Int] = Map((0,0), (1,-1)) If you're using Scala 2.7.7 you could do something like this, as an alternative to the m... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/3323651', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/155392/']} | jdg_129163 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3581585 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Whats the difference between a Null pointer & a Void pointer ?
Now provide the response and nothing else.
| Null pointer is a special reserved value of a pointer. A pointer of any type has such a reserved value. Formally, each specific pointer type ( int * , char * etc.) has its own dedicated null-pointer value. Conceptually, when a pointer has that null value it is not pointing anywhere. Void pointer is a specific pointer t... | {} | {'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/3581585', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/425094/']} | jdg_375047 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 35244961 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I need to add default JVM options to my jar, when build with Gradle.From the documentation I got that I have to set: applicationDefaultJvmArgs = ["-Djavafx.embed.singleThread... | From the top of my head I can think of 2 options: Option1: Do what @Ethan said, it'll likely work: package placeholder;//your importspublic class Application{ static { System.getProperties().set("javafx.embed.singleThread", "true"); } // your code public static void main(String... args){ //your code }} O... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/35244961', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5543884/']} | jdg_104342 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 49596604 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
If I were to have a list, say: lst = ['foo', 'bar', '!test', 'hello', 'world!', 'word'] with a character of ! , how would I return a list given: lst = ['foo', 'bar', ['test',... | Assuming that there is no elements which starts & ends with ! like '!foo!' . First of all we can write helper predicates like def is_starting_element(element): return element.startswith('!')def is_ending_element(element): return element.endswith('!') Then we can write generator-function (because they are awesome)... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/49596604', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/9319953/']} | jdg_115777 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 8247243 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Is there a way to highlight only the current line number (in the left hand coloumn) in vim, without highlighting the background of the current line? Ideally, I would Like to ... | There are two groups that determine highlighting of line displayed when &cursorline option is active: CursorLine and CursorLineNR . First is used to highlight the whole line, second for the line number. So to achieve what you want you must Clear the highlighting of CursorLine : just hi clear CursorLine after any :color... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/8247243', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1011284/']} | jdg_300962 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 5279051 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I've a vector of vectors say vector<vector<int> > items of different sizes like as follows 1,2,34,56,7,8 I want to create combinations in terms of Cartesian product of these ... | First, I'll show you a recursive version. // Cartesion product of vector of vectors#include <vector>#include <iostream>#include <iterator>// Types to hold vector-of-ints (Vi) and vector-of-vector-of-ints (Vvi)typedef std::vector<int> Vi;typedef std::vector<Vi> Vvi;// Just for the sample -- populate the intput data setV... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/5279051', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/419074/']} | jdg_222664 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 22742 |
Below is a question asked on the forum robotics.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
In theory, controlling a 6D pose (3D position + 3D orientation) would require 6 joints, and - assuming the robot is carefully designed - the inverse kinematics shoul... | Adding a 7th joint, and still targeting a 6D pose, would result in anull space of at least one dimension anywhere in the workspace. That is basically one the reasons people may wish to use a 7-DOF Robot for a 6-DOF End-Effector. It adds what is called Kinematic Redundancy. Your robot's end effector can reach a certain ... | {} | {'log_upvote_score': 4, 'links': ['https://robotics.stackexchange.com/questions/22742', 'https://robotics.stackexchange.com', 'https://robotics.stackexchange.com/users/30595/']} | jdg_153203 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 24165124 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Are there any significant differences between doing: CellStyle newCellStyle = workbook.createCellStyle();neweCellStyle.cloneStyleFrom(oldCell.getCellStyle());newCell.setCellS... | The first approach will create a new cell style for every new cell, which as you've rightly noticed might lead to the situation where you end up to the 'CellStyle explosion'. The potential benefit (or drawback - depending on your use case) of this solution is the situation where every cell references a different cell s... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/24165124', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1515864/']} | jdg_305037 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 37586216 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
How can I debug Rust application step by step interactively like I'm able to do with "pry" in Ruby? I want to be able to see and preferably change the variables in real time ... | I find a good level of usability with VS Code and the CodeLLDB extension: Install VS Code Search and install the extension rust-analyzer from within VS Code Check requisites and setup CodeLLDB for your platform. As of v1.6, no further setup should be needed. Search and install the extension CodeLLDB from within VS Code... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/37586216', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/-1/']} | jdg_201654 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 433 |
Below is a question asked on the forum electronics.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
I've noticed, with regards to microcontrollers, there are several way to program them. I am sorta familiar with USB as my Arduino's can be programmed via USB. Wha... | ATMEGA microcontrollers like the one in the arduino that are coming straight from the factory can only be programmed using the SPI or JTAG interface. SPI stands for Serial Peripheral Interface and is a way for microcontrollers to communicate with each other or with the outside world. It's also called 3-wire sometimes b... | {} | {'log_upvote_score': 6, 'links': ['https://electronics.stackexchange.com/questions/433', 'https://electronics.stackexchange.com', 'https://electronics.stackexchange.com/users/245/']} | jdg_274747 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 35214962 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I have a video that the client wants to sit "seamlessly" in the website. The background HEX color of the video matches the HEX background color of the website, and renders as... | It seems like it might be fundamental to how the browsers render video, and not an easy CSS/HTML fix. Your question sounds similar to this question . I am betting the answer lies in some combination of rendering engines and colorspace differences, which may mean there is no good way to fix it across browsers. On firefo... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/35214962', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4358621/']} | jdg_272323 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 13679580 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I have json like that: [ { "id": "c200", "name": "Ravi Tamada", "email": "ravi@gmail.com", "address": "xx-xx-xxxx,x - street, x - country", "gender" : "male", "phone" : "+91 ... | Well, +1 to you for even knowing what a Kalman filter is. If you'd like, I'll edit this post and give you the code I wrote a couple years ago to do what you're trying to do. But first, I'll tell you why you don't need it. Modern implementations of the Android sensor stack use Sensor Fusion , as Stan mentioned above. ... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/13679580', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1715958/']} | jdg_283248 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 8664885 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I'm using $_get for a simple page redirection.I've only just started learning about sanitizing user input, so I was wondering if the below code was ok. Is there any other san... | If the blue line in your picture goes from point A to point B, and you want to draw the red line at point B, you can do the following: Get the direction vector going from A to B. This would be: v.x = B.x - A.x; v.y = B.y - A.y; Normalize the vector: mag = sqrt (v.x*v.x + v.y*v.y); v.x = v.x / mag; v.y = v.y / mag; Rota... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/8664885', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/691053/']} | jdg_292915 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 640874 |
Below is a question asked on the forum physics.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
Here we can see a Bipolar Junction Transistor (BJT), which has a common base configuration. My instructor recently explained to me its working principle, but I didn't... | Issue#1 . There are various aspects to consider here, let me skip for a moment. Issue#2 . Ok, I think I see what your instructor means but it might be indeed a bit confusing. First of all: outside the depleted region at the EB and BC junctions, in the non-depleted portion of the base (I don't see it in you sketch but i... | {} | {'log_upvote_score': 4, 'links': ['https://physics.stackexchange.com/questions/640874', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/167872/']} | jdg_375385 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 509978 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
What is the fastest way to execute a method on an ASP.NET website? The scenario is pretty simple: I have a method which should be executed when a web page is hit. Nothing els... | Depending on what you're doing, I wouldn't expect to see a lot of improvement over just using an HttpHandler. I'd start by just writing the HttpHandler and seeing how it performs. If you need it to be faster, try looking more closely at the things you're actually doing while processing the request and seeing what can b... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/509978', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/10932/']} | jdg_234319 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 718956 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
A popular proof of the irrationality of $\sqrt2$ is to first assume that the number is rational. This means that $\sqrt2=a/b$ where $a$ and $b$ are integers. Another ass... | You don't need to assume that $a$ and $b$ are coprime. If $\sqrt 2= a/b$ with $a,b\in \mathbb Z$, then $2b^2=a^2$. Now count the number of factors of $2$ on each side: on the left, you get an odd number of factors of $2$, while on the right you get an even number of factors. | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/718956', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/113241/']} | jdg_267653 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 57017066 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I have a dependency listed in Cargo.toml that needs a specific environment variable set. I can run export FOO=bar in bash and all works well, but for the life of me I can't f... | Since Cargo 1.56, you can use the configurable-env feature via the [env] section in config.toml . This is not the same file as Cargo.toml , but it can still be set per project: [env]FOO = "bar"PATH_TO_SOME_TOOL = { value = "bin/tool", relative = true }USERNAME = { value = "test_user", force = true } Environment variabl... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/57017066', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/11778940/']} | jdg_248709 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 364987 |
Below is a question asked on the forum physics.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
I am getting a little confused by the notion of potentials. In classical mechanics we are never worried about the value of a potential, we are always concerned mainly... | You're correct that the solutions don't come out precisely the same. However, if we look at Schrodinger's equation with the added constant,$$ i\hbar \frac{\partial}{\partial t}|\psi\rangle = (\hat H+C)|\psi\rangle $$ we notice that if we let $$|\psi\rangle = e^{-iCt/\hbar}|\psi'\rangle $$ then the Schrodinger equation... | {} | {'log_upvote_score': 4, 'links': ['https://physics.stackexchange.com/questions/364987', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/169375/']} | jdg_354191 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 21453 |
Below is a question asked on the forum electronics.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
OK, DILs are on the way out, but from time to time you still can see CMOS DILs packaged like this as ESD protection: That's aluminium foil on EPS (expanded polyst... | This is useless. The foam will push the IC up again a few tenths of mm after pushing the pins in, so that the contact with the aluminium foil is lost. You should use conductive foam , which basically comes in two forms/colors: The charcoal gray ester foam on the left feels a bit softer than the plactic-y feeling of the... | {} | {'log_upvote_score': 4, 'links': ['https://electronics.stackexchange.com/questions/21453', 'https://electronics.stackexchange.com', 'https://electronics.stackexchange.com/users/3920/']} | jdg_292119 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 55904485 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
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I want to add custom up navigation from fragment using Navigation component In my build.gradle(app) I use androidx.appcompat:appcompat:1.1.0-alpha04 dependency to have access... | I found a solution handleOnBackPressed() method invokes only on device's back button click.I wonder, why neither onOptionsItemSelected() nor onSupportNavigateUp() methods haven't been called on pressing "up button" in toolbar. And the answer is I used NavigationUI.setupWithNavController(toolbar, navController, appBarCo... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/55904485', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/10914552/']} | jdg_189582 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 14110986 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
public class SerProg { static ServerSocket ser=null; static Socket cli=null; static ObjectInputStream ins=null; static ObjectOutputStream outs=null; public sta... | You need to create the ObjectOutputStream before the ObjectInputStream at both sides of the connection(!). When the ObjectInputStream is created, it tries to read the object stream header from the InputStream . So if the ObjectOutputStream on the other side hasn't been created yet there is no object stream header to re... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/14110986', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1941021/']} | jdg_147463 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 5697487 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
With Data Annotations it's now easy to localize error messages using Resource.resx files like this for example: public class Student{ . . . [Required(ErrorMessageResour... | Here's one way, which, while seemingly tedious, could feasibly be automated for any given .h file as input: Step 1. Get all the constants you want into a file, say bulletdefs.h , which has the #defines but with leading underscores, e.g: #define _ACTIVE_TAG 1#define _ISLAND_SLEEPING 2#define _WANTS_DEACTIVATION 3#define... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/5697487', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/114029/']} | jdg_229486 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 18600081 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
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I would like to know how to disable the window Maximise button in pyqt4. I am at present using QWidget.setFixedSize (self, QSize) to prevent user window resizing, however the... | Haven't worked with it but research seems to point to messing with the window flags. QWidget has a method called setWindowFlags . Here is the doc for the Qt.WindowFlags class. Here is a reference for all of the flags. Look for Qt.WindowMaximizeButtonHint In general it seems like you need to find a way to enable the Qt.... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/18600081', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2699872/']} | jdg_202057 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 18482457 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
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I am building an admin dashboard using ember. I want to create a reusable chart object of which I can have multiple instances throughout the application. The chart object sho... | Ember.Component is your friend As @raulbrito already mentioned, the best way to go if you want reusable components in ember is indeed to use the new Ember.Component which is heavily based on the new w3 draft for web components and thus beeing future proof. I've tried to make a simple example on how this could be implem... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/18482457', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/597389/']} | jdg_270517 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 10031323 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
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I want to be able to parse a string to an object that I can access using the dot notation e.g. myobject.property, instead of the array notation e.g. myobject['property']. The... | At the moment, JSON.parse only returns Lists (array), Maps, String, num, bool, and null( api ref ). I suspect that until reflection makes it way into the language, it won't be able to re-construct objects based upon the keys found in json. You could, however, create a constructor in your MyJsonObject which took a strin... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/10031323', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1298196/']} | jdg_215135 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 32784922 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
When I load my page, a nodeList gets created, and it looks like this: [text, h4, text, span, br, input, br, span, br, input, br, span, br, input, br, span, br, input, br] I c... | Two things. First, don't use for ... in when you're iterating through numeric indexes; use a plain for loop. Then you won't need that isNaN() check, and it's generally safer. The second problem is that when you remove a child, you change the length of the list. If you remove child 0, then the child that used to be chil... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/32784922', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5084841/']} | jdg_378976 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 29994402 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Is there any way in C# (i.e. in .NET) to throw a custom exception but without writing all the code to define your own exception class derived from Exception ? I am thinking s... | throw new Exception("A custom message for an application specific exception"); Not good enough? You could also throw a more specific exception if it's relevant. For example, throw new AuthenticationException("Message here"); or throw new FileNotFoundException("I couldn't find your file!"); could work. Note that you sh... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/29994402', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3027266/']} | jdg_90698 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 854475 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
$F$ is a field of order $32$.$F$ and {$0,1$} are trivial subfields of $F$. But how can we show that these are the only subfields of $F$?Can someone give me a direction t... | Hint: if $K$ is a subfield of $F$, then in particular, $K^*$, the multiplicative group of $K$ must be a subgroup of $F^*$ | {} | {'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/854475', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/144852/']} | jdg_235155 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 20350681 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
How can I implement a mock back-end to do quick prototyping with AngularJS? I need to be able to fake response delay, response data and the like. I use the $http service.
No... | You can use angular mocks to provide a mock back-end. Working demo on plnkr . Basically you include angular-mocks after angular, and use the code provided in this gist and you will be able to control both requests and responses, including headers and fake response delays etc. Example: //When backend receives a request ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/20350681', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1404422/']} | jdg_331155 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2904689 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Can I initialize var with null or some empty value?
Now provide the response and nothing else.
| C# is a strictly/strongly typed language . var was introduced for compile-time type-binding for anonymous types yet you can use var for primitive and custom types that are already known at design time. At runtime there's nothing like var, it is replaced by an actual type that is either a reference type or value type. W... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/2904689', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/324831/']} | jdg_295441 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 140927 |
Below is a question asked on the forum physics.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
You can start fire by focusing the sunlight using the magnifying glass. I searched the web whether you can do the same using moonlight. And found this and this - the ... | Moonlight has a spectral peak around $650\ \mathrm{nm}$ (the sun peaks at around $550\ \mathrm{nm}$ ). Ordinary solar cells will work just fine to convert it into electricity. The power of moonlight is about $500\,000$ times less than that of sunlight, which for a solar constant of $1000\ \mathrm{W/m^2}$ leaves us with... | {} | {'log_upvote_score': 7, 'links': ['https://physics.stackexchange.com/questions/140927', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/7743/']} | jdg_376189 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 29498976 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
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I'm attempting to create an accessor for a class member variable using smart pointers. Here's the code: class MyResource{};class MyClass{public: std::unique_ptr<MyResource... | The most important thing to understand about smart pointers is that the "pointer" aspect is not the fundamental part of their semantics. Smart pointers exist to represent ownership . Ownership is defined as the responsibility for cleanup. A unique pointer says: "I am the sole owner of the pointee. I will destroy it whe... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/29498976', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/921739/']} | jdg_285478 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 33850196 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
So I'm slightly embarrassed to ask this because it seems so rudimentary but ever since beginning iOS development (about a year of self/internet teaching), when not using stor... | tl;dr Learn how to use Auto Layout – it's a huge time saver for real-world apps! Long answer: Finally it is up to you if you want to use features like Auto Layout or Size Classes that Apple provides. The main benefit of those is not really performance in terms of UI rendering in the final product. It is the time you ne... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/33850196', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4525245/']} | jdg_161019 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 72731 |
Below is a question asked on the forum networkengineering.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
We get two 100G links, one from each provider and our aggregate traffic is sub 100G. The rationale is one provider can fail and the other will pick up the... | Trying to get true load balancing with different providers is a Sisyphean task. You can spend the rest of your career working on it, and never get it right. These are both T1 providers and almost anything that "matters" is 1 AS hop away. You would think bandwidth would balance out but it's pretty lopsided in most case... | {} | {'log_upvote_score': 4, 'links': ['https://networkengineering.stackexchange.com/questions/72731', 'https://networkengineering.stackexchange.com', 'https://networkengineering.stackexchange.com/users/74118/']} | jdg_193162 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 11638821 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I'm writing a C# console application that scrapes data from web pages. This application will go to about 8000 web pages and scrape data(same format of data on each page). I h... | If you want to use the async and await keywords (although you don't have to, but they do make things easier in .NET 4.5), you would first want to change your ScrapeData method to return a Task<T> instance using the async keyword, like so: async Task<DataSet> ScrapeDataAsync(Uri url){ // Create the HttpClientHandler ... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/11638821', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1308743/']} | jdg_197768 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1880168 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I try to avoid using Excel too much, but when I do I like using structured references as they seem a lot cleaner to write. If I create a table called "table1" with columns "c... | Table1[[#This Row][Column1]] does work, but the formula must be on the same row as the table row you wish to reference. To reference the first row, elsewhere, use either COUNTIFS(criteria_range1, criteria1 [, criteria_rangen, criterian]) Or the slightly more complex SUMIFS() if you need numeric values instead of counts... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/1880168', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/214498/']} | jdg_230314 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3104 |
Below is a question asked on the forum emacs.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
I often use the TeX input method to type Unicode characters like λ , which is quite handy. However, some of the characters I want to type are not supported like various... | As explained in this EmacsWiki article , you can append stuff to an input method like this: (let ((quail-current-package (assoc "TeX" quail-package-alist))) (quail-define-rules ((append . t)) ("_i" ?ᵢ) ("^\\alpha" ?ᵅ))) I also find it convenient to use ; instead of the cumbers... | {} | {'log_upvote_score': 5, 'links': ['https://emacs.stackexchange.com/questions/3104', 'https://emacs.stackexchange.com', 'https://emacs.stackexchange.com/users/17/']} | jdg_195621 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 6636124 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I " set editing-mode vi " in my .inputrc on my Mac OS system, which allows vi editing in IRB. When I'm using a RVM Ruby, the IRB sessions don't process this directive. Does a... | Have you got set -o vi set, either at the command-line or in one of your startup scripts? That turns it on for the shell. I have both " set editing-mode vi " and set -o vi and have Vi-like editing in IRB. EDIT: Try creating ~/.editrc , put bind -v in it. Snow Leopard has support for editline built in, so that might be ... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/6636124', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/328294/']} | jdg_126966 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1791622 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
Ok, we have two expressions: $30x + 1500$ $19x + 9000$ The first thing to note is, the first expression is $100\%$ and the second expression is $0\%$. The second thing i... | I guess you mean three values linearly dependent on $x$, say $f(x), g(x), h(x),$ the third one falling between the former two for $x$ big enough; and you are asking about an asymptotic value of the proportion$$\frac{h-f}{g-f}$$as $x$ grows to infinity. That is$$\begin{align}\lim_{x\to\infty}\frac{(23x+15590)-(19x+9000)... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/1791622', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/339400/']} | jdg_134149 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 879832 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
Let $f,g$ be two continuous positive functions over $[a,b]$ Let $m_1$ and $M_1$ be the minimum and maximum of $f$ Let $m_2$ and $M_2$ be the minimum and maximum of $g$ P... | We use continuity of $f$ and $g$, to prove that the integral inequality: $$\displaystyle \int_a^b f^2\int_a^bg^2 \le \dfrac{1}{4}\left(\sqrt{\dfrac{M_1M_2}{m_1m_2}}+\sqrt{\dfrac{m_1m_2}{M_1M_2}}\right)^2\left(\int_a^bfg\right)^2$$ follows from proving the discrete case of the inequality, taking $a_k = f(a+\frac{b-a}{n}... | {} | {'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/879832', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/66096/']} | jdg_209974 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 55878224 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I am having difficult to add a custom NSToolbarItem to my existing toolbar. NSToolbar was created in NSWindowController, then I have a function to populate toolbar items prog... | To add/remove items from the toolbar, you need the toolbar delegate: NSToolbarDelegate. Here is a template for the implementation I'm using (probably more than you want). Boilerplate code to create toolbar items of various types: struct ToolbarIdentifiers { static let mainToolbar = NSToolbar.Identifier(stringLiteral... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/55878224', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3109289/']} | jdg_320468 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1276955 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I work on a corporate windows network (which I log in to) with a HTTP proxy. When I use Internet Explorer it magically uses the proxy without me needing to type in my passwor... | In the absence of an answer from someone else here is what I have discovered, I hope it is useful for someone else. Executive Summary: Download SSPI enabled curl from http://curl.haxx.se/latest.cgi?curl=win32-ssl changing to Windows, zip, SSL-enabled, SSPI-enabled (7.19.5) . Install Windows Open-SSL from http://www.slp... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/1276955', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5346/']} | jdg_282852 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2382897 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
Find all entire functions with $|f(z)|\geq e^{|z|}$ for all $z \in \mathbb{C}$. I don't think there is any such entire function, and here is my thought: since $\Re(z) \l... | From the inequality it follows that $f$ is never zero. Therefore $1/f$ is entire and $|1/f|\leq e^{-|z|}\leq1$. Therefore $f$ ought to be constant. But $e^{|z|}\rightarrow\infty$ as $z\rightarrow \infty$. ... You probably don't want that, but in a sense $f(z)=\infty\in S^2$ is constant, therefore analytic everywhere, a... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/2382897', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/331232/']} | jdg_143265 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2852005 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
What is the analysis theorem that gives interchange between Integral and Sup. In particular, let $f_r (t)$ be a function on the circle $U = \{z\in \mathbb C: | z | = 1\}... | It's more common (and equivalent) to work with infima (just put $-$ signs everywhere), so we want to find when$$ \inf_{r \in A} \int_X f_r = \int_X \inf_{r \in A} f_r. $$Let $\inf_r f_r(t) = g(t)$. Then $\inf_r g(t) = g(t)$, and the right-hand side of the equality is $\int g$, so if we subtract and let $h_r=f_r-g$, eq... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/2852005', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/276347/']} | jdg_113293 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 478538 |
Below is a question asked on the forum physics.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
Let's say we have an electron around atom. Let's say the electron drops into a lower electron shell. Is 100% of the energy difference converted to a photon? Does the ... | There is always energy loss due to recoil. Considering a single atom that is in free space, the total momentum is conserved, and the total reaction energy is constrained by the transition energy $E_0$ (ignoring the natural line width due to the energy-time uncertainty), so we get in the centre of mass frame: $$0 = \hba... | {} | {'log_upvote_score': 6, 'links': ['https://physics.stackexchange.com/questions/478538', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/179357/']} | jdg_155893 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 431657 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
Are $\mathbb{C} \otimes _\mathbb{R} \mathbb{C}$ and $\mathbb{C} \otimes _\mathbb{C} \mathbb{C}$ isomorphic as $\mathbb{R}$-vector spaces? I am having a very hard time at... | No, they are not. Your intuition is correct. Given a ground field $k$, and two finite-dimensional $k$-vector spaces $V,W$, then $\dim_k(V \otimes_k W) = (\dim_k V)(\dim_k W)$. So: $\dim_{\mathbb C}(\mathbb C \otimes_{\mathbb C} \mathbb C) = (\dim_{\mathbb C} \mathbb C)^2= 1$, therefore $\dim_{\mathbb R} (\mathbb C \o... | {} | {'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/431657', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/-1/']} | jdg_345805 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 635210 |
Below is a question asked on the forum electronics.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
I'm trying to understand the relationship between the capacitance with the voltage output of this circuit. If the capacitance is greater, why does it take more ti... | You are asking about two different things. First why does a bigger capacitor take longer to fill? It's in the name of the thing -- the bigger a capacitor is, the more electrons it has to hold to come up to a certain voltage. Since you're charging it through a fixed resistor, the current vs. voltage relation of the cha... | {} | {'log_upvote_score': 4, 'links': ['https://electronics.stackexchange.com/questions/635210', 'https://electronics.stackexchange.com', 'https://electronics.stackexchange.com/users/310554/']} | jdg_111746 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 10849177 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
If I have an auto filter set up in Excel and I want to loop through all the visible data in one column with VBA code, what's the easiest way to do this? All the hidden rows t... | Suppose I have numbers 1 to 10 in cells A2:A11 with my autofilter in A1 . I now filter to only show numbers greater than 5 (i.e. 6, 7, 8, 9, 10). This code will only print visible cells: Sub SpecialLoop() Dim cl As Range, rng As Range Set rng = Range("A2:A11") For Each cl In rng If cl.EntireRow.... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/10849177', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/939124/']} | jdg_116437 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 9804751 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I am doing an app that requires authentication. In the index page of the app, I specified access rules like this public function accessRules() { return array( array... | They 'll make you an offer you can't refuse Starting with Yii v1.1.11 CAccessRule defines the deniedCallback property that easily allows you to define a redirect when access is denied. I don't want to steal Iain Gray's thunder , so go upvote his answer (thanks to the commenter who alerted me to this as well). The origi... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/9804751', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1225246/']} | jdg_336504 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2533 |
Below is a question asked on the forum emacs.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
I've configured Emacs to open files named *.cfg in shell-script-mode. These are config files, of course, rather than shell scripts, but 90% of the time it does what I ... | The good way Simply do not use Sh Mode for buffers which do not contain shell scripts. Write your own mode instead. This is the canonical way to handle such situations in Emacs. Write a custom major mode is easy. You can simply inherit from Sh Mode to get all of its features and commands, while still having an indep... | {} | {'log_upvote_score': 4, 'links': ['https://emacs.stackexchange.com/questions/2533', 'https://emacs.stackexchange.com', 'https://emacs.stackexchange.com/users/291/']} | jdg_107762 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 14617 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
There's a question in Spivak's Calculus ( I don't happen to have the question number in front of me in the 2nd Edition, it's Chapter 21, Problem 7) that develops the con... | You have shown that the sequence of $a_{2n}$ converges. Call $e$ (for even ) its limit, and call $o$ the limit of $a_{2n+1}$. Then the recursive relation giving $a_{n+1}$ in terms of $a_n$ implies that $$e=1+1/(1+o)$$ and $$o=1+1/(1+e),$$ from which it follows that $e=o=\sqrt2$. [For example, take the limit as $n\to\in... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/14617', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/506/']} | jdg_243335 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 4598702 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
What are the different approaches for changing the log4j log level dynamically, so that I will not have to redeploy the application. Will the changes be permanent in those ca... | Changing the log level is simple; modifying other portions of the configuration will pose a more in depth approach. LogManager.getRootLogger().setLevel(Level.DEBUG); The changes are permanent through the life cyle of the Logger . On reinitialization the configuration will be read and used as setting the level at runtim... | {} | {'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/4598702', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/177971/']} | jdg_373607 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 14048476 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
In Java, I could do BigInteger b = new BigInteger(500); Then format it as I pleased b.toString(2); //binaryb.toString(8); //octalb.toString(10); //decimalb.toString(16); //he... | Convert BigInteger to decimal, hex, binary, octal string: Let's start with a BigInteger value: BigInteger bigint = BigInteger.Parse("123456789012345678901234567890"); Base 10 and Base 16 The built-in Base 10 (decimal) and base 16 (hexadecimal) conversions are easy: // Convert to base 10 (decimal):string base10 = bigint... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/14048476', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/928007/']} | jdg_177305 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 49287078 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I am having two different config maps test-configmap and common-config . I tried to mount them at the same location, but one config map overwrote the other. Then I read about... | You have to use special projected volumes for achieve that. Example your deployment: apiVersion: apps/v1kind: Deploymentmetadata: name: testingspec: replicas: 1 selector: matchLabels: app: testing template: metadata: name: testing labels: app: testing spec: containers: - nam... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/49287078', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5157915/']} | jdg_80340 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 61129013 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Goals I want to display some code for reference from the project itself. I want the display of the code to be updated with the implementation. I don't want to eject from crea... | I managed to get this working after a bit of looking around. There are two major pieces that had to be in place to make it work. Use the appropriate loader In this case I wanted to use the raw-loader , so I installed it as a dev dependency. yarn add -D raw-loader . In order to actually import the file I needed to then ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/61129013', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/250934/']} | jdg_161747 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 52992321 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I found this great answer about how to convert a string to a typescript enum. Based on that I have written this function enum Color { Red='red', Green='green' }function mapC... | I can get this to work when i pass the enum definition: enum Color { Red='red', Green='green' }function getEnumFromString<T>(type: T, str: string): T[keyof T] { const casted = str as keyof T; return type[casted];}const bar = getEnumFromString(Color, 'Red'); | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/52992321', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2517147/']} | jdg_317709 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1185822 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
How do I create or test for NaN or infinite values in Perl?
Now provide the response and nothing else.
| Here's a fairly reliable way: my $inf = 9**9**9;my $neginf = -9**9**9;my $nan = -sin(9**9**9);sub isinf { $_[0]==9**9**9 || $_[0]==-9**9**9 }sub isnan { ! defined( $_[0] <=> 9**9**9 ) }# useful for detecting negative zerosub signbit { substr( sprintf( '%g', $_[0] ), 0, 1 ) eq '-' }for my $num ( $inf, $neginf, $na... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/1185822', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/17389/']} | jdg_268703 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 283868 |
Below is a question asked on the forum unix.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
I am trying to make a script that detects if any of the files in a directory were changed within a 2 seconds interval.What I have so far is: #!/bin/bashfor FILE in "${PW... | As others have explained, using inotify is the better solution. I'll just explain why your script fails. First of all, no matter what language you are programming in, whenever you try to debug something, the first rule is "print all the variables": $ lsfile1 file2 file3$ echo $PWD /home/terdon/foo$ for FILE in "${... | {} | {'log_upvote_score': 5, 'links': ['https://unix.stackexchange.com/questions/283868', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/166466/']} | jdg_223689 | PrimeIntellect/stackexchange-question-answering |
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