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
59528963
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Regex to select filenames which is not preceded by -map before .scss . something-something.scss -> Matchsomething-map.scss -> Don't matchsomething.scss -> Match Tried [a-zA-Z...
Update A new option was introduced in Spark 3 to read from nested folder recursiveFileLookup : spark.read.option("recursiveFileLookup", "true").json("file:///var/foo/try") For older versions, alternatively, you can use Hadoop listFiles to list recursively all the file paths and then pass them to Spark read: import org....
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/59528963', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/12023283/']}
jdg_129390
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
45771307
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 use simple-schema to define DB schemas in an object: { name: 'string', age: 'integer', ...} Is it somehow possible to create an interface or class from this object, s...
You can do this, but it might be more trouble than it's worth unless you think you might be changing the schema. TypeScript doesn't have built-in ways of inferring types in a way that you want, so you have to coax and cajole it to do so: First, define a way of mapping the literal names 'string' and 'integer' to the Ty...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/45771307', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5661749/']}
jdg_176443
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
23036827
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 have a optional parameter and set it to default value that I determine, when I do this: private void Process(Foo f = new Foo()){} I'm getting the following error ( ...
A starting point is that the CLR has no support for this. It must be implemented by the compiler. Something you can see from a little test program: class Program { static void Main(string[] args) { Test(); Test(42); } static void Test(int value = 42) { }} Which decompiles to: .method private...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/23036827', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3010968/']}
jdg_236008
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
422696
Below is a question asked on the forum stats.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Suppose we have a (measurable and suitably well-behaved) set $S\subseteq B\subset\mathbb R^n$ , where $B$ is compact. Moreover, suppose we can draw samples from the un...
Suppose that you have the following resources available to you: You have access to an estimator $\hat{\lambda}$ . $\hat{\lambda}$ is unbiased for $\lambda ( S )$ . $\hat{\lambda}$ is almost surely bounded above by $C$ . You know the constant $C$ , and You can form independent realisations of $\hat{\lambda}$ as many tim...
{}
{'log_upvote_score': 5, 'links': ['https://stats.stackexchange.com/questions/422696', 'https://stats.stackexchange.com', 'https://stats.stackexchange.com/users/6040/']}
jdg_258267
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2150194
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 tried: $test = include 'test.php'; But that just included the file normally Now provide the response and nothing else.
You'll want to look at the output buffering functions. //get anything that's in the output buffer, and empty the buffer$oldContent = ob_get_clean();//start buffering againob_start();//include file, capturing output into the output bufferinclude "test.php";//get current output buffer (output from test.php)$myContent = o...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/2150194', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/242739/']}
jdg_338894
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
34495592
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's a very simple example: #include <iostream>template<typename T>void DoubleMe(T x) { x += x;}int main(){ int a = 10; DoubleMe(a); std::cout << a; //displays ...
You can indeed correctly deduce reference types with plain T . Unfortunately, that does not mean what you think it means. Given template <typename T> struct S { };template <typename T> void f(S<T>) { }int main() { f(S<int&>{}); } the type argument for f is correctly deduced as int& . The problem is that in your case, d...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/34495592', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5453788/']}
jdg_95623
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2220389
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: If $S$ is the set of distinct values of '$b$' for which the following system of linear equations \begin{align} x + y + z = 1\\ x + ay + z = 1\\ ax + by + z = 0 \end{al...
$$\begin{bmatrix} 1 & 1 & 1 \\ 1 & a & 1 \\ a & b & 1 \end{bmatrix} \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} 1 \\ 1 \\ 0\end{bmatrix}$$ $$\begin{bmatrix} 1 & 1 & 1 \\ 0 & a-1 & 0 \\ 0 & b-a & 1-a \end{bmatrix} \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} 1 \\ 0 \\ -a\end{bmatrix}$$ The...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/2220389', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/433029/']}
jdg_310931
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
32401152
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 presenting a tutorial view, from the AppDelegate: - (BOOL)application:(UIApplication *)application didFinishLaunchingWithOptions:(NSDictionary *)launchOptions{.... EERo...
@BindingMethods(@BindingMethod(type = SuperCustomView.class, attribute = "app:onToggle", method = "setOnToggleListener"))public class SuperCustomView extends FrameLayout { private OnToggleListener mToggleListener; public interface OnToggleListener { void onToggle(boolean switchPosition); } public voi...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/32401152', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/923365/']}
jdg_307906
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
34519074
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: my api only allows a maximum of 10 requests every second. I am trying to keep under this rate limit with async library. I have tried multiple functions but none of them work....
Yes there is a generic way. You can implement a Singleton via CRTP , like: template<typename T>class Singleton{protected: Singleton() noexcept = default; Singleton(const Singleton&) = delete; Singleton& operator=(const Singleton&) = delete; virtual ~Singleton() = default; // to silence base class Singleton<...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/34519074', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4526902/']}
jdg_349542
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
29872918
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 confused with this whole "no CSS" thing, but I understand why it's beneficial. All I want to do is place a button in the middle of the screen but I don't understand how s...
Update: use built-in Button component . Deprecated: Wrap your View into TouchableHighlight for iOS and TouchableNativeFeedback for Android. var { Platform, TouchableHighlight, TouchableNativeFeedback } = React;var tapSpeed = React.createClass({ buttonClicked: function() { console.log('button clicked'); }, rend...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/29872918', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4807463/']}
jdg_114521
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
49229
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: In algebra, all quadratic problems can be solved by using the quadratic formula. I read a couple of books, and they told me only HOW and WHEN to use this formula, but th...
I would like to prove the Quadratic Formula in a cleaner way. Perhaps if teachers see this approach they will be less reluctant to prove the Quadratic Formula. Added: I have recently learned from the book Sources in the Development of Mathematics: Series and Products from the Fifteenth to the Twenty-first Century (Ran...
{}
{'log_upvote_score': 9, 'links': ['https://math.stackexchange.com/questions/49229', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/725/']}
jdg_129661
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
305935
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 having difficulty taking the inverse of the following function (case-defined): $$ f(x)=\begin{cases}\frac{1}{4 \sqrt{ |1-x|}} & \text{if} \ x\in [0,2] \\ 0 & \text...
Use the fact that$$\left(1 - \dfrac{x}n \right)^n \leq e^{-x}$$i.e.$$\left(1 - \dfrac{x}n \right)^n e^{x/2} \leq e^{-x/2}$$and$$\lim_{n \to \infty}\left(1 - \dfrac{x}n \right)^n = e^{-x}$$Consider the sequence $$f_n(x) = \begin{cases} \left(1 - \dfrac{x}{n} \right)^n e^{x/2} & x \in [0,n]\\ 0 & x > n\end{cases}$$ which...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/305935', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/61850/']}
jdg_306671
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
5254252
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I want to wrap some content in HTML in a Rails 3 helper so that in my view I can do this: <%= rounded_box do-%> <%= raw target.text %><% end -%> I have a helper method that ...
Call capture on the block instead of yield : def rounded_box(&block) str = "<div class='rounded_box'><div class='rounded_box_content'><div class='rounded_box_top'></div>" str << capture(&block) str << "<div class='rounded_box_bottom'><div></div></div></div>" raw strend
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/5254252', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/9574/']}
jdg_158249
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1081633
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: How to find the complex roots of $x^2-2ax+a^2+b^2$? I tried using the quadratic formula: $$ x_{1,2} = \frac{2a \pm \sqrt {4a^2-4b^2}}{2} = {a \pm \sqrt {a^2-b^2}} = a\pm...
Your equation can be rewritten as$$(x-a)^2=-b^2\iff x-a=\pm ib$$so the roots are $x_{1,2}=a\pm ib$. The quadratic formula also gives the right answer, but it should be$$x_{1,2}=\frac{2a\pm\sqrt{4a^2-4(a^2+b^2)}}2=a\pm\sqrt{-b^2}=a\pm ib$$
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/1081633', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/188391/']}
jdg_382566
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2630159
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 strip <h1>including this content</h1> I know you can use strip tags to remove the tags, but i want everything in between gone as well. Any help would be appreciated...
As you’re dealing with HTML, you should use an HTML parser to process it correctly. You can use PHP’s DOMDocument and query the elements with DOMXPath , e.g.: $doc = new DOMDocument();$doc->loadHTML($html);$xpath = new DOMXPath($doc);foreach ($xpath->query('//h1') as $node) { $node->parentNode->removeChild($node);}$...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/2630159', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/202926/']}
jdg_79878
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
572077
Below is a question asked on the forum stats.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I have constructed a continuous variable by using two different methods. Now I want to know the variable created under which way is the best and should be included in t...
You got a couple of things wrong while reading the documentation of the Kolmogorov-Smirnov test. First you need to use the cumulative distribution function (CDF), not the probability density function (PDF). Second you have to pass the CDF as a callable function, not evaluate it at an equally spaced grid of points. [Thi...
{}
{'log_upvote_score': 5, 'links': ['https://stats.stackexchange.com/questions/572077', 'https://stats.stackexchange.com', 'https://stats.stackexchange.com/users/355684/']}
jdg_268570
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
7014675
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 an entity called lastName with value "Benjamin". Is there a way in objectify that if the user put "Ben" or "jam" or "Benja". I still be able to find this entity using ...
There's no "LIKE" type queries for sub-string, however a case sensitive "starts with" could be simulated by taking advantage of the > and < operators on indexes. // The start stringString searchStr = "Ben";// emulate a "starts with" queryQuery q = new Query("MyEntity")q.addFilter("name", Query.FilterOperator.GREATER_TH...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/7014675', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/651875/']}
jdg_220249
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
359902
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 have CentOS 5.6 on my laptop. When I type yum update , I get the below error: Loaded plugins: fastestmirrorLoading mirror speeds from cached hostfileYumRepo Error: All...
CentOS-5 reached end-of-life on March 31, 2017. This means that no new updates will be released by Red Hat. The current 5.11 tree you seek has been moved to vault.centos.org . To obtain access to the 5.11 branch, edit /etc/yum.repos.d/CentOS-Base.repo and comment out the mirrorlist directives. Furthermore, in each en...
{}
{'log_upvote_score': 6, 'links': ['https://unix.stackexchange.com/questions/359902', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/111388/']}
jdg_171294
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
555828
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 came across a combinatorial proof of the Fermat's Little Theorem which states that If $p$ is a prime number then the number ($a$ $p$ -$a$) is a multiple of $p$ for any...
The crux lies in the statement But there are p cyclic permutations of p pearls on a string. We require the fact that $p$ is prime to establish that all $p$ cyclic permutations give distinct strings. Consider a string with colours $a_0a_1 \ldots a_{p-1}$. The cyclic permutations are $a_ia_{i+1} \ldots a_{i-1}$ where $0 ...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/555828', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/92143/']}
jdg_356289
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
332953
Below is a question asked on the forum meta.stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: With the advent of the VLQ review queue, I've come across on several occasions where I've marked a post as "Not an Answer", and the original poster or one of the reviewe...
Every additional rule we add to flagging results in a system that's harder to explain, harder to understand, harder to fix (harder to even realize when it's broken) and in some cases harder to use . Let's take a step back here... Flagging as a patch for insufficient permissions The guiding principle behind the original...
{}
{'log_upvote_score': 5, 'links': ['https://meta.stackoverflow.com/questions/332953', 'https://meta.stackoverflow.com', 'https://meta.stackoverflow.com/users/4875631/']}
jdg_255751
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
11379951
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 this code: function displayMenu (newGal, newSub) { curGal = newGal; curSub = newSub; if (curGal == null) { curGal = "main"; }; arrayL = curGal.le...
window.onload = displayMenu('main', 0); This is your problem. Use this instead: window.onload = function() {displayMenu('main', 0);} In your code, displayMenu is called and then the return value of that call is assigned to window.onload . This fails, because you are assigning window.onload before the imgX elements have...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/11379951', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1128846/']}
jdg_289525
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
20395826
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Reading over this blog post on some of the gotchas of C#5's async/await. It mentions in Gotcha #4 something that is quite profound and that I hadn't thought of before. Briefl...
Because Task.Run has signatures of both Task.Run(Func<Task>) and Task.Run(Action) , what type is the async anonymous function compiled to? An async void or a Func<Task> ? My gut feeling says it will compile down to an async void purely because its a non-generic type however the C# Compiler might be smart and give Func<...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/20395826', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1339896/']}
jdg_338232
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
594930
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 query in my application that runs very fast when there are large number of rows in my tables. But when the number of rows is a moderate size (neither large nor smal...
What are the potential pitfalls of setting enable_nestloop to off ? This means that you will never be able to use indexes efficiently. And it seems that you don't use them now. The query like this: SELECT u.name, p.nameFROM users uJOIN profiles p ON p.id = u.profile_idWHERE u.id = :id will most probably use NESTED LOOP...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/594930', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/63308/']}
jdg_172437
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
17393853
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 wanting to structure my laravel app in a way that all of my code is under the src directory. My project structure would look something like the below. How would I do thi...
Yes, it's called PSR-0. You should namespace all of your code. Typically you'll have a vendor name that you'll use a the top level namespace. Your application structure should then look something like this. app/src/Vendor/Accounting/Controllersapp/src/Vendor/Job/Controllers Your controllers will then be namespaced acco...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/17393853', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/834516/']}
jdg_145210
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
45744771
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: +----------+---------+--------+------+------------+-----------+| PersonID | OrderID | PlanID | Plan | Sdate | Edate |+----------+---------+--------+------+----------...
Besides the arguments.callee.name there is no straightforward way of getting this. I propose 2 other methods: Use decorators to inject the method name: function annotateName(target, name, desc) { var method = desc.value; desc.value = function () { var prevMethod = this.currentMethod; this.currentMet...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/45744771', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4753103/']}
jdg_363168
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
121016
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've got a List of BoundaryMeshRegion s, created via ConvexHullMesh : hulls0 = ConvexHullMesh /@ RandomReal[{-10, 10}, {3, 1, 2}];hulls1 = ConvexHullMesh /@ Rando...
Here we run up against the slowness of ImplicitRegion and RegionPlot when compared to ContourPlot . It's the same thing that led to this fantastic post . Here is the first instinct, SeedRandom[42];hulls0 = ConvexHullMesh /@ RandomReal[{-10, 10}, {3, 1, 2}];hulls1 = ConvexHullMesh /@ RandomReal[{-10, 10}, {3, 2, 2}];hu...
{}
{'log_upvote_score': 4, 'links': ['https://mathematica.stackexchange.com/questions/121016', 'https://mathematica.stackexchange.com', 'https://mathematica.stackexchange.com/users/34167/']}
jdg_102747
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
358965
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 recently had an experiment in school where I used resistors that were 130k, 140k, 150k, 160k and 170k ohm to dim a red LED. The light intensity was then measure...
By consulting the LED's datasheet's forward current/voltage and luminous intensity/forward current curves: Source: https://cdn-shop.adafruit.com/datasheets/WP7113SRD-D.pdf Now, by calculating the current through the LED: I = ( 9V - V(LED)) / R You can then look up that current on the luminous intensity chart to get the...
{}
{'log_upvote_score': 4, 'links': ['https://electronics.stackexchange.com/questions/358965', 'https://electronics.stackexchange.com', 'https://electronics.stackexchange.com/users/179708/']}
jdg_347408
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
12540436
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 website whose layout has been shown in the diagram. The body consists of a main container , which comprises of header , parent div and footer . The parent div furthe...
Seems like you got a case for the clearfix class . So I'm guessing you're floating the child div and that's why the parent div's height is 0.When you use floats, the parent doesn't adapt to the height of the children. You can apply the 'clearfix' classes to the parent of the floating elements (of course you need to hav...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/12540436', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/778245/']}
jdg_185380
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
30343
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'd like to determine the function corresponding to the following power series:$$x + \sum_{n=1}^\infty (-1)^n\frac{1\cdot3\cdot5\cdots(2n-1)}{2\cdot4\cdot6\cdots2n} \fra...
The following is an attempt to actually do some mathematics with the question. Thus I try to avoid ready-made formulas drawn out of the hat and I want to describe step by step a path which leads to the solution as routinely as possible. My first reaction when I read the formula to be explained is that I am not too happ...
{}
{'log_upvote_score': 6, 'links': ['https://math.stackexchange.com/questions/30343', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/8993/']}
jdg_219143
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
47023
Below is a question asked on the forum datascience.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: How to merge duplicate column and sum their value? What I have A 30A 40B 50 What I need A 70B 50 DF for this example d = {'address': ["A", "A", "B"], 'b...
You may use df2 = df.groupby(['address']).sum() or df2 = df.groupby(['address']).agg('sum') If there are columns other than balances that you want to peak only the first or max value, or do mean instead of sum , you can go as follows: d = {'address': ["A", "A", "B"], 'balances': [30, 40, 50], 'sessions': [2, 3, 4]} df...
{}
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jdg_72851
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
6852522
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 you give me a quick runthrough of what these 4 keywords are used for and why? I understand the basics that google would tell you on register and volatile, but would like ...
extern extern is overloaded for several uses. For global variables, it means that it is declaring the variable, not defining it. This is useful for putting global variables in headers. If you put this in a header: int someInteger; Each .cpp file that includes that header would try to have its own someInteger . That wil...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/6852522', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/857994/']}
jdg_84337
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
14466381
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 the SignalR Service Bus package to let SignalR coordinate activity across several azure web role instances within a deployment. I used to be able to choose the serv...
Use the WTSDisconnectSession() Windows API. See article here . using System;using System.Runtime.InteropServices;using System.ComponentModel;class Program{ [DllImport("wtsapi32.dll", SetLastError = true)] static extern bool WTSDisconnectSession(IntPtr hServer, int sessionId, bool bWait); [DllImport("Kernel32.dll", S...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/14466381', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1861521/']}
jdg_124726
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2131479
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 you derive that $$ \sum\limits_{n=1}^{\infty} \frac{n}{3^n} = \frac{3}{4} \, ?$$ I suspect some clever use of the geometric series will do, but I don't know how....
We can proceed with generating functions. The trick initially seems a little contrived, but it can be made rigorous, and I think that the more you see it the more it makes sense. The first implication comes from differentiation.$$\frac{1}{1-x}=\sum_{n=0}^{\infty} x^n \implies \frac{1}{(1-x)^2}=\sum_{n=0}^{\infty}n \cdo...
{}
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jdg_229761
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
43075181
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 think this might actually answer another of my questions on Stack Overflow if I can get this confirmed. What is the difference between returning a callback and just calling...
return callback();//some more lines of code; the comment section won't be executed in above but will be in the below callback();//some more lines of code; Edit : Of course returning will help the context calling async function get the value returned by callback but usually async function are not called to assign anythi...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/43075181', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2853071/']}
jdg_257594
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
7901280
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 don't know if this is a bug with Node or V8, but if I run the following code the node process leaks memory. The GC never seems to kick in and in a few seconds it's consumin...
You are blocking node.js event loop by never returning to it. When you write something to a stream node.js does that asynchronously: it sends the write request, queues information about sent request in the stream's internal data-structures and awaits the callback that would notify it about the completion. If you are bl...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/7901280', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/509271/']}
jdg_160002
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
228445
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: Let $N$ be a fixed positive integer, and denote by $C(m)$ the number ofpermutations on an $N$-element set that have exactly $m$ cycles (counting$1$-cycles). Then it is in the ...
This follows from using generating functions a la Polya. By the cycle index formula, one sees that (using the notation of $C_n(k,j)$ for permutations in $S_n$ with $k$ cycles including $j$ fixed points) $$\sum_{n=0}^{\infty} \frac{t^n}{n!} \sum_{k,j} C_n(k,j) y^j x^k = \exp\Big( tx y +\sum_{j=2}^{\infty} \frac{x t^j}{...
{}
{'log_upvote_score': 4, 'links': ['https://mathoverflow.net/questions/228445', 'https://mathoverflow.net', 'https://mathoverflow.net/users/42278/']}
jdg_185003
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8823505
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Looking through the Django docs and trying to figure out the use of the "through" argument. Here is a link to the doc . The example: class Person(models.Model): name = mod...
I think you're thinking a little too literally about this. Let's say you didn't use through : class Person(models.Model): name = models.CharField(max_length=128) def __unicode__(self): return self.nameclass Group(models.Model): name = models.CharField(max_length=128) members = models.ManyToManyField(...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/8823505', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/723998/']}
jdg_159623
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
16156062
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 saving a key to a bucket with: key = bucket.new_key(fileName) key.set_contents_from_string(base64.b64decode(data)) key.set_metadata('Content-Type', 'image/jpeg') ...
If the key is publicly readable (as shown above) you can use Key.generate_url : url = key.generate_url(expires_in=0, query_auth=False) If the key is private and you want to generate an expiring URL to share the content with someone who does not have direct access you could do: url = key.generate_url(expires_in=300) whe...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/16156062', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/832397/']}
jdg_260260
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8814722
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 change the MySQL data directory with Mysqld command in cmd? Now provide the response and nothing else.
ARC needs to know the ownership of an object reference so it can determine when to release it etc. For any variable (local, instance or global) ARC has rules for determining the ownership; either by inference or by an explicit attribute. This equates to the pre-ARC need for the programmer to track ownership. But what h...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/8814722', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/986566/']}
jdg_149047
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
61022
Below is a question asked on the forum cs.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I am trying to write a script that generates random graphs and I need to know if an edge in a weighted graph can have the 0 value. actually it makes sense that 0 could be ...
Allowed by whom ? There is no Central Graph Administration that decides what you can and cannot do. You can define objects in any way that's convenient for you, as long as you're clear about what the definition is. If zero-weighted edges are useful to you, then use them; just make sure your readers know that's what you...
{}
{'log_upvote_score': 8, 'links': ['https://cs.stackexchange.com/questions/61022', 'https://cs.stackexchange.com', 'https://cs.stackexchange.com/users/55377/']}
jdg_334599
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
32761999
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 was trying to pass two lists containing integers as arguments to a python code. But sys.argv[i] gets the parameters as a list of string. Input would look like, $ python fil...
Don't reinvent the wheel. Use the argparse module , be explicit and pass in actual lists of parameters import argparse# defined command line options# this also generates --help and error handlingCLI=argparse.ArgumentParser()CLI.add_argument( "--lista", # name on the CLI - drop the `--` for positional/required paramet...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/32761999', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2283542/']}
jdg_341613
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
38285815
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 planning to write an ActionFilter for business validation and in which some services will be resolved via Service Locator(I know this is not good practice and as far as ...
Here is an sample on how to create a mock (using XUnit and Moq framework) to verify that the IsValid method is called and where the mock returns an false . using Dealz.Common.Web.Tests.Utils;using Microsoft.AspNetCore.Http;using Microsoft.AspNetCore.Mvc.Filters;using Microsoft.Extensions.DependencyInjection;using Moq;u...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/38285815', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5426333/']}
jdg_326005
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
161126
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: My understanding of the Stern–Gerlach experiment is that neutral (0 total charge) particles are sent through a non-homogeneous magnetic field, with the expectation th...
NOTE : this answer ignores initial angular momentum along the magnetic moment, so it isn't directly applicable to the silver atoms used in the actual Stern-Gerlach experiment. See the answer by Michael Seifert that takes angular momentum into account. The magnet has a finite moment of inertia. What would happen when th...
{}
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jdg_229895
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
19062206
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 button that adds a row to a table. The table is editable on click (similar to one found here: http://www.9lessons.info/2011/03/live-table-edit-with-jquery-and-ajax.h...
When you call timeit from the command line like this: python -mtimeit -s'import test' 'test.foo()' The timeit module is called as a script. In particular, the main function is called: if __name__ == "__main__": sys.exit(main()) If you look at the source code , you'll see that the main function can take an args argum...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/19062206', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2690363/']}
jdg_155238
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3078438
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 tried to make project by selecting Archtype Web Application from Eclipse create new maven project. But when I created a new java Class to project sources folder, it didn't ...
This is what I do: Using m2eclipse plugin for Maven integration and m2eclipse WTP integration (from m2eclipse extras update site). Create new maven project using archetype: maven-archetype-webapp. Create src/main/java folder and add to build path manually. Add spring and spring-webmvc dependencies. For 2.5.6.SEC01 vers...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/3078438', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/159793/']}
jdg_156408
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1357655
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 $\phi:G\to\bar G$ be a surjective group homomorphism with kernel $N$. Then the first homomorphism theorem tells us that $G/N\cong\bar G$. My question is this: Lagran...
The first isomorphism theorem indicates elements $\bar{g}\in\overline{G}$ have fibers $gN\in G/N$ (a fiber is the preimage of a single element). Note that if two different $g$s in $G$ represent the same $\bar{g}$ in $\overline{G}$, then they represent the same coset $gN$ in $G/N$ (and vice-versa), so this is sensible t...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/1357655', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/252495/']}
jdg_268019
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
38370979
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 it possible to use nested switch statement in javascript. My code is some what look like switch(id1){case 1: switch(id2){ case 1:{ switch(id3){ case ...
Your approach is absolutely fine. You can make the switch nesting less complex by using switch (true) : switch (true) { case ((id1 === 1) && (id2 === 1) && (id3 === 1)) : case ((id1 === 1) && (id2 === 1) && (id3 === 2)) : case ((id1 === 1) && (id2 === 2) && (id3 === 1)) : case ((id1 === 1) && (id2 === 2) && (id3 ==...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/38370979', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/6574348/']}
jdg_374691
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
241684
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'm curious to know if this assumption is correct, Consider $A_{n \times n}$ is invertible, so $AA^{-1} = A^{-1}A = I$, Now, what I wonder is if we have lets say $(I + A...
Matrix multiplication is not commutative in general. Hence, in general$$A(I + AB)A^{-1} \neq I + AB$$If $A$ and $B$ commute i.e. if we have $AB = BA$, then $$A(I + AB)A^{-1} = A(I + BA)A^{-1} = \underbrace{A \cdot A^{-1}}_I + A \cdot B \underbrace{A \cdot A^{-1}}_I = I + AB$$Hence, if $A$ and $B$ commute then it is tru...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/241684', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/49890/']}
jdg_79819
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
21786382
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 a Python Professinal would retry running a function that will request a web service(the webservice sometimes fails) The function: def some_request(uri): try: re...
Define retry utility: # Retry utility # set logging for `retry` channelimport logginglogging.basicConfig(level=logging.INFO)logger = logging.getLogger('retry')# Define Exception class for retryclass RetryException(Exception): u_str = "Exception ({}) raised after {} tries." def __init__(self, exp, max_retry): ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/21786382', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/488735/']}
jdg_224511
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
630022
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 have been creating AWS VPCs and I am wondering if there is a recommended CIDR value when creating VPCs. What are the factors that I must consider when choosing a CIDR and doe...
I would recommend the following considerations: If you creating an IPSEC connection between your corporate LAN and your VPC, use a CIDR that is different than that on your corporate LAN. This will prevent routing overlaps and create an identity distinction for reference. For very large networks, use at least different ...
{}
{'log_upvote_score': 6, 'links': ['https://serverfault.com/questions/630022', 'https://serverfault.com', 'https://serverfault.com/users/109363/']}
jdg_229495
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
45404874
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 got my users exported the in CLI: firebase auth:export my_users.json The passwords in the exported file should be hashed with SCRYPT, because as the documentation states...
So you can now get the hash key and the salt info from the firebase console GUI.I had to enter incognito mode in chrome for some reason (firebase support suggested this). I could then log into my firebase console in the incognito browser. (Note that you need to use the firebase instance that you are copying usersfrom, ...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/45404874', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4966702/']}
jdg_277341
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
134478
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: Suppose there's a binary application that always writes its data to /tmp . How could I spoof/mock /tmp for the sake of this binary as some other directory (e.g. home/tmp...
You can run the application in a chroot environment i.e. the / the application sees is not the real / . You create a complete new file system hierarchy and mount ( --bind ) everything you need into it. The relevant point is: You can mount the real ~/tmp to the /tmp in the chroot environment. Instead of using chroot (wh...
{}
{'log_upvote_score': 5, 'links': ['https://unix.stackexchange.com/questions/134478', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/39993/']}
jdg_287651
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
17752
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 need to find the position of the first element of a list that is either greater than zero (or some other criterion) or a symbol. Something like lst={0,0,k,1,4} ...
Position[lst, Except[0|0., _], {0, Infinity}, 1, Heads -> False][[1,1]] or Cases[lst, {zeros : (0|0.) ..., Except[0|0.], ___} :> 1 + Length[{zeros}], {0}][[1]] or Length@First@Split[lst, #1 == 0 &] or 1 + LengthWhile[lst, # == 0 &] all give 3 .
{}
{'log_upvote_score': 4, 'links': ['https://mathematica.stackexchange.com/questions/17752', 'https://mathematica.stackexchange.com', 'https://mathematica.stackexchange.com/users/5280/']}
jdg_180655
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
44305
Below is a question asked on the forum cs.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Perhaps my limited understanding of the subject is incorrect, but this is what I understand so far: Functional programming is based off of Lambda Calculus, formulated byAl...
In a nutshell : What characterizes imperative programming languages as close to Turingmachines and to usual computers such as PCs, (themselves closer torandom access machines (RAM) rather than to Turing machine) is theconcept of an explicit memory that can be modified to store (intermediate results). It is an automata ...
{}
{'log_upvote_score': 6, 'links': ['https://cs.stackexchange.com/questions/44305', 'https://cs.stackexchange.com', 'https://cs.stackexchange.com/users/22046/']}
jdg_158507
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
190918
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 compact operator between Banach spaces is an operator that maps bounded sets into relatively compact sets, while a completely continuous operator maps all weakly conve...
I do not know off the top of my head a characterisation of when the completely continuous operators coincide with the compact operators, but certainly such a space need not be reflexive; for example, consider the James space. In particular it is shown in Proposition 4.9 of Niels Laustsen's paper Maximal ideals in the a...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/190918', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/4706/']}
jdg_125039
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3769898
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: $$\forall x\forall y( p(x,y) \leftrightarrow p(y,x) )$$ I don't know if this formula is a tautology or not. I think the order inside the predicates is not important and ...
$$\forall x\forall y( p(x,y) \leftrightarrow p(y,x) )$$ Consider the interpretation $\mathcal{I}(P) = \{\langle x, y \rangle: x \text{ loves }y\}$ . Sadly enough, just because you love someone doesn't always mean they loves you back: We can easily think of a structure where John loves Peter (i.e. $\langle John, Peter \...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/3769898', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/808527/']}
jdg_184279
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
325873
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 use an SQL statement to remove records that exist on another database but this takes a very long time. Is there any other alternative to the code below that can be faster? ...
I worked on a project to run a user's logon script whenever they connected our network over VPN. To do this, I wrote a helper unit that retrieves adapter info and stores it into a simple record. I then setup up a registry notification, see here for how to do that in Delphi The registry notification was on HKLM\SYSTEM\C...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/325873', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/36544/']}
jdg_275409
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
31769820
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 conceptual differences between using git submodule and subtree? What are the typical scenarios for each? Now provide the response and nothing else.
submodule is a better fit for component-based development , where your main project depends on a fixed version of another component (repo). You keep only references in your parent repo ( gitlinks , special entries in the index ) What if I want the links to always point to the HEAD of the external repo? You can make a s...
{}
{'log_upvote_score': 9, 'links': ['https://Stackoverflow.com/questions/31769820', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/25645/']}
jdg_89487
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
5987376
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 implemented a version of PageRank in a multithreaded version. I'm running it on a 4-core Q6600. When I run it set to create 4 threads, I get: real 6.968suser 26.020...
Deliberately creating more threads than processors is a standard technique used to make use of "spare cycles" where a thread is blocked waiting for something, whether that's I/O, a mutex, or something else by providing some other useful work for the processor to do. If your threads are doing I/O then this is a strong c...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/5987376', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/49142/']}
jdg_254061
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4386899
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'm trying to evaluate the following sum: $\frac{480\hbar^{2}}{\pi^{4}ma^{2}} \cdot \sum_{n=1,3,5,...}^{\infty} \frac{1}{n^{4}}$ I've written out a couple partial sums f...
Define Riemann zeta function as $$\zeta(s)=\sum_{n\ge1}{1\over n^s}$$ Then we have \begin{aligned}\sum_{\substack{n\ge1\\n\text{ odd}}}{1\over n^s}&=\sum_{n\ge1}{1\over n^s}-\sum_{\substack{n\ge1\\n\text{ even}}}{1\over n^s} \\&=\zeta(s)-\sum_{n\ge1}{1\over(2n)^s} \\&=(1-2^{-s})\zeta(s)\end{aligned} This indicates that...
{}
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jdg_176475
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
246127
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Why is volatile needed in C? What is it used for? What will it do? Now provide the response and nothing else.
volatile tells the compiler not to optimize anything that has to do with the volatile variable. There are at least three common reasons to use it, all involving situations where the value of the variable can change without action from the visible code: When you interface with hardware that changes the value itself when...
{}
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jdg_370812
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
109709
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: I wanted to know if someone can log my keystrokes if i am on a virtual machine.Is it more secure to use a computer or a virtual machine on that computer. Now provid...
RedGrittyBrick is right. Here's how it would work: Keylogger is on host machine: even VM sessions will be keylogged. Keylogger is on virtual machine: only VM will be keylogged unless it escapes the VM. Keylogger is hardware-based: same as #1: everything can be captured, but this includes things even outside of the main...
{}
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jdg_362271
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
15572568
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 latest codeigniter and I need to create a flag (ideally in the config) when turned to 'true', all pages display a 'maintenance mode' message instead of executing th...
Extend the CI_Controller by putting a new file in your core directory called MY_Controller. In this file's constructor, do something like this: public function __construct(){ parent::__construct(); if($this->config->item('maintenance_mode') == TRUE) { $this->load->view('maintenance_view'); die(); ...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/15572568', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/175562/']}
jdg_70075
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8799373
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 an Android app with a main tab activity, and several activities within the individual tabs. In my main activity's onCreate(), I have a runnable that creates a list, an...
You can use the wait and notify methods. To do this, there needs to be some globally accessible object whose lock isn't used by anything else in the program at this point in time. I'm assuming that the list-creating Runnable itself can play this role. So you could add something like this to the list-creating Runnable c...
{}
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jdg_78505
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
35252382
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 change the border color and the background of the square and the color of the check mark, but not the text. To better understand, what I want to accomplish is the f...
You can simply draw the checkmark in the Paint event: private void checkBox1_Paint(object sender, PaintEventArgs e){ Point pt = new Point(e.ClipRectangle.Left + 2, e.ClipRectangle.Top + 4); Rectangle rect = new Rectangle(pt, new Size(22, 22)); if (checkBox1.Checked) { using (Font wing = new Font("Win...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/35252382', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5894584/']}
jdg_139730
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
29274517
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 installed additional ios simulators(7.1) just after installing Xcode 6.2 and now the simulator names look like this: How do I change the names? Now provide the response...
Xcode uses the device version to disambiguate devices with the same name. If two devices have the same name and version number, it will show the devices' UDIDs. You have 4 of each of all your device types, so I suspect that some of them are for the same iOS version. You should delete some of the duplicates. Check out x...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/29274517', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/782334/']}
jdg_202079
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1832381
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: Prove that if $p$ is a prime number then $\binom{p-1}{k}\equiv (-1)^k\pmod{p}$. What can be said about $\binom{p+1}{k} \pmod{p}$? I thought about expanding $\dbinom{p-1}...
If $k=0$ then it is trivially true. Otherwise: $$\frac{(p-1)!}{k!(p-1-k)!}\equiv\frac{(p-1)\ldots(p-k)}{k!}\equiv\frac{(-1)\ldots(-k)}{1\ldots k}\equiv (-1)^k \frac{k!}{k!}\equiv(-1)^k,$$ with the appearance of divisions making sense because $\mathbb{Z}_p$ is a field.
{}
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jdg_138079
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
60726
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: I want to capture all the traffic from an Android app for its pen-testing. How do I do that? Here's what I've already tried: I installed the app on an emulator and s...
You are unable to intercept Facebook traffic because it uses SSL pinning. On pen-testing an android application you may come across four different scenarios. I will list them down below concisely. A much more detailed article can be found here >> My Blog The article also contains videos which you can refer to. Non-SSL ...
{}
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jdg_146920
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
442612
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 created a simple data acquisition module for measuring 5V signals. There are 18 analog inputs on this board, all of which are a copy of the schematic belo...
You are exceeding the amplifiers input common-mode range. It has rail-to-rail output but not rail-to-rail input. The allowable input range is -0.3V to +3.8V when fed from a 5V supply. When configured as a unity gain amplifier the output range will be limited by what's acceptable at the input. Other posters have comment...
{}
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jdg_241258
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
501308
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 does the last line mean in the following code? import pickle, urllib ...
Maybe best explained with an example: print "".join([e[1] * e[0] for e in elt]) is the short form of x = []for e in elt: x.append(e[1] * e[0])print "".join(x) List comprehensions are simply syntactic sugar for for loops, which make an expression out of a sequence of statements. elt can be an arbitrary object, since yo...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/501308', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/54964/']}
jdg_265606
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
16507040
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 receive data from my back end server structured like this: { name : "Mc Feast", owner : "Mc Donalds"}, { name : "Royale with cheese", owner : "Mc Donalds"}, { name :...
This happens because _.groupBy returns a collection of new objects every time it runs. Angular's ngRepeat doesn't realize that those objects are equal because ngRepeat tracks them by identity . New object leads to new identity. This makes Angular think that something has changed since the last check, which means that A...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/16507040', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1379657/']}
jdg_215539
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
52440400
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 I want : When text is short the 21% TextView should be just beside the first TextView like below and when text is long I want the first TextView to reach to end and elli...
1 way Try this Using ConstraintLayout <?xml version="1.0" encoding="utf-8"?><android.support.constraint.ConstraintLayout xmlns:android="http://schemas.android.com/apk/res/android" xmlns:app="http://schemas.android.com/apk/res-auto" android:layout_width="match_parent" android:layout_height="match_parent"> <T...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/52440400', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/6478047/']}
jdg_80125
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8800792
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 tried to install some plugins to my Eclipse Gallileo , such as Eclipse Web Developer Tools and others. Whatever I try, I get the same error: An error occurred during the or...
The only time (that I can think of) where operator[] can be useful is when you want to set the value of a key (overwrite it if it already has a value), and you know that it is safe to overwrite (which it should be since you should be using smart pointers, not raw pointers) and is cheap to default construct , and in som...
{}
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jdg_119039
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
44288
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 can run a script at boot by adding the following line to my crontab: @reboot perl /path/script That works fine. But the problem arises when I try to run a gui applicat...
Cron is not the program you're after. To run GUI programs there are different approaches. Which one to choose depends on your desktop environment. The traditional way is to hook it into your .xinitrc file before starting the window manager. A simple example .xinitrc looks as follows: #!/bin/sh# Play a login soundogg123...
{}
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jdg_109670
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
228418
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: Here we are considering subsets $\mathcal{F}$ of $2^\omega$, which are in correspondence with families of subsets of $\omega$ (sets of "reals"). Such a family is Borel if it ...
Firstly, as commented by Asaf Karagila, it is routine to build a Borel uncountable family of almost disjoint subsets of $\omega$: fix a one-to-one map $f$ from the set $2^{<\omega}$ of finite binary sequences to $\omega$. It is clear that if $B$ and $B'$ are any two distinct branches of $2^{<\omega}$, then $f(B)$ and $...
{}
{'log_upvote_score': 5, 'links': ['https://mathoverflow.net/questions/228418', 'https://mathoverflow.net', 'https://mathoverflow.net/users/15735/']}
jdg_108197
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
264533
Below is a question asked on the forum stats.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: My objective is to classify sensor signals. The concept of my solution so far is :i) Engineering features from raw signalii) Selecting relevant features with ReliefF a...
Like you already observed yourself, your choice of features (feature selection) may have an impact on which hyperparameters for your algorithm are optimal, and which hyperparameters you select for your algorithm may have an impact on which choice of features would be optimal. So, yes, if you really really care about sq...
{}
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jdg_335159
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1640209
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: In $\mathbb R$ for a derivative to exist (or a limit generally) it is necessary that the limit be the same in both directions (from below and above) and this is the sam...
A function ${\bf f}:\>{\mathbb R}^2\to{\mathbb R}^2$ is differentiable at $p$ if there is a linear map $A:\>{\mathbb R}^2\to{\mathbb R}^2$ such that$${\bf f}({\bf p}+{\bf h})-{\bf f}({\bf p})=A{\bf h}+o(|{\bf h}|)\qquad({\bf h}\to{\bf 0})\ .\tag{1}$$This $A$ is then called the derivative of ${\bf f}$ at ${\bf p}$, and ...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/1640209', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/85798/']}
jdg_289846
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
15579715
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 an application which stores the CurrentHour and CurrentMinute from a TimePicker in a sqlite database then displays it in another activity ViewCountry java I would lik...
You're looking at the unoptimized IL, for one thing - hence all the "nop"s. You may find it generates different code when building the Release version. Even with the unoptimized version, if you're running under an optimizing JIT, I'd expect it to end up with the same JITted code. Even with a non-optimizing JIT which di...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/15579715', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2163126/']}
jdg_128510
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
229565
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: The Mutex class is very misunderstood, and Global mutexes even more so. What is good, safe pattern to use when creating Global mutexes? One that will work Regardless of the l...
I want to make sure this is out there, because it's so hard to get right: using System.Runtime.InteropServices; //GuidAttributeusing System.Reflection; //Assemblyusing System.Threading; //Mutexusing System.Security.AccessControl; //MutexAccessRuleusing System.Security.Principal; ...
{}
{'log_upvote_score': 10, 'links': ['https://Stackoverflow.com/questions/229565', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/17174/']}
jdg_108356
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
15692418
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Does this delete all the pointers or does this just delete the first pointer p1? delete p1,p2,p3,p4,p5; Now provide the response and nothing else.
It is equivalent to: (((((delete p1),p2),p3),p4),p5); That is, it delete s p1 and then the comma operator is applied to the result (of which there is none) and p2 . The expressions p2 to p5 are simply evaluated and the results discarded.
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/15692418', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1748746/']}
jdg_304933
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
15978370
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 working on some custom UIView-based input controls, and I'm trying to ascertain proper practice for setting up the view. When working with a UIViewController, it's fairly...
Apple defined pretty clearly how to subclass UIView in the doc. Check out the list below, especially take a look at initWithFrame: and layoutSubviews . The former is intended to setup the frame of your UIView whereas the latter is intended to setup the frame and the layout of its subviews. Also remember that initWithFr...
{}
{'log_upvote_score': 9, 'links': ['https://Stackoverflow.com/questions/15978370', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/224988/']}
jdg_375203
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
31938214
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Though disjoint exhausts all possible patterns in its guard conditions, Haskell gives me a PatternMatchFail error when running it. disjoint :: (Ord a) => [a] -> [a] -> Booldi...
Your explaination for why this gives a pattern match failure is correct. You can write the code the following way to avoid redundant lines: disjoint :: (Ord a) => [a] -> [a] -> Booldisjoint l@(x:xs) r@(y:ys) | x == y = False | x > y = disjoint l ys -- reduce right list | otherwise ...
{}
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jdg_205911
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
38032635
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 figure out if it is possible to pass a JSON object to rest API, Or pass a multiple parameters to that API ? And how to read these parameters in Spring ? Lets a...
(1) Is it possible to pass a JSON object to the url like in Ex.2? No, because http://localhost:8080/api/v1/mno/objectKey/{"id":1, "name":"Saif"} is not a valid URL. If you want to do it the RESTful way, use http://localhost:8080/api/v1/mno/objectKey/1/Saif , and defined your method like this: @RequestMapping(path = "/m...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/38032635', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5285894/']}
jdg_140443
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
291640
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: Aluminum refineries use electricity to separate aluminum from minerals it naturally occurs in. This electricity typically takes the form of low voltage DC ("low" ...
The voltage for the Hall–Héroult process is inconveniently low (and the current too high) for efficient parallel operation so they use a whole bunch of cells in series. From this source ("Studies on the Hall-Heroult Aluminum Electrowinning Process"): The optimum current density is around 1 A cm-2 with a total cell curr...
{}
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jdg_342772
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
471898
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 experiencing the same problem in this previous stackoverflow.com post . Specifically, I seem to be able to get the "Auth" token correctly, but attempts to use it in the h...
Adding sample code to this question because someone contacted me directly about my solution. Note that you must set the "service" parameter equal to "ah" on the initial token request. Initial Request of Token [done synchronously] NOTE: the "service" parameter is set to "ah" and the "source" is just set to "myapp", you ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/471898', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/49611/']}
jdg_115031
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
205170
Below is a question asked on the forum stats.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: In Max Kuhn's Book "Applied Predictive Modeling" this is writen about K-cross validation: As k gets larger, the difference in size between the training set and the re...
[W]hat is the difference between forecasting using the original non-stationary series and the forecasting using the now stationary differenced series? (Here I deliberately left out the qualification that the series can be transformed to a stationary series using first differencing and that the OP is interested in forec...
{}
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jdg_216037
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2842715
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: Recall that a group $G$ satisfies the normalizer condition if for any proper subgroup $H$, its normalizer in $G$, $N_G(H)$ is a strictly larger group. For finite groups,...
Personally, I don't believe that the theory of central series is more elementary than Sylow theory, and in my experience students find Sylow theory easier, probably because it does not involve technical calculations with quotient groups. But if you insist, I think you can do it this way. By using induction on $|G|$, we...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/2842715', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/68188/']}
jdg_372060
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
607254
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 tool that is going to be used to process a bunch of 3D data, doing things like rotating objects, translating, scaling and all that good stuff. Does anyone know ...
Microsoft.Xna.Framework (ship this XNA) could do the work. The XNA Framework Math library has multiple basic geometric types that can be used to manipulate objects in 2D or 3D space. The primitive objects in this library represent the data required to represent a geometric object or an operation on that object. Each ge...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/607254', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/341413/']}
jdg_106510
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1735566
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 create a thread in Delphi with the following characteristics: Waits until the main thread adds data to a shared queue. Processes all the data in the queue, returnin...
OmniThreadLibrary can definitely help you here. Test 5 from the OTL distribution should help you started. In this demo, "Start" button creates the thread and sets some parameters and timer (which you can remove in your code if not needed). "Change message" sends a message to the thread and this message is processed in ...
{}
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jdg_113389
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
12340824
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 friendly competition with couple of guys in the field of programming and recently we have become so interested in writing efficient code. Our challenge was to try to...
Here's a little C++11 stopwatch I like to roll out when I need to time something: #include <chrono>#include <ctime>template <typename T> class basic_stopwatch{ typedef T clock; typename clock::time_point p; typename clock::duration d;public: void tick() { p = clock::now(); } void tock() {...
{}
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jdg_104507
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2852113
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 $X$ be a set. Two metrics $d_1, d_2: X\times X\to\mathbb{R}$ are equivalent, if constants $\alpha,\beta > 0$ exist such that for all $x,y\in X$ holds: $\alpha d_1(x,...
Why does $d_2(x,y) < \varepsilon$ imply $U \in \tau_2$? This does not follow, you're leaving out parts of the argument, and going the wrong way with inequalities: So at the start you know that we have $\alpha, \beta>0$ such that for all $x,y$ we have $$\alpha d_1(x,y) \le d_2(x,y) \le \beta d_1(x,y)$$ It's OK to start ...
{}
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jdg_315794
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
406373
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: I fairly new in the field of Stochastic Processes and Markov Chains so excuse my ignorance. My question is: If we have a sequence of Markov chains such that each one has a sta...
We assume that the Markov chains are on a finite state space, that $P_n \to P$ pointwise, and the limit matrix $P$ is irreducible, so its stationary measure $\pi$ is unique. Let $\pi^{(n_k)} \to \mu$ be a convergent subsequence of $\pi^{(n)}$ . Then $\pi^{(n_k)}P_{n_k}=\pi^{(n_k)}$ , so continuity of multiplication im...
{}
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jdg_267529
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
12662005
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 list in R with the following elements: [[812]][1] "" "668" "12345_s_at" "667" "4.899777748" [6] "49.53333333" "10.10930207" "1.598228...
If you want to extract the third element of each list element you can do: List <- list(c(1:3), c(4:6), c(7:9))lapply(List, '[[', 3) # This returns a list with only the third elementunlist(lapply(List, '[[', 3)) # This returns a vector with the third element Using your example and taking into account @GSee comment you ...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/12662005', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1029620/']}
jdg_98315
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
712094
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: Given this file: $ cat fruits.json[ { "name": "apple" }, { "name": "banana\nfofanna" }, { "name": "my kiwi" }] how can one use jq to retrieve a list of fruit names wh...
The first two attempts at the end of the question do not work because they rely on the shell splitting the output of jq on whitespace. Since newline is one type of whitespace, you lose the newlines (and tabs and the original spaces) in the data. The attempts additionally fail to quote the string data, so you would get...
{}
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jdg_302414
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
944336
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 method that I can add to my module, which will get called when destructing the class? We have a simple class which has only static member functions and needs to cl...
When destructing which class? I though you said module? Your module lives until the interpreter stops. you can add something to run at that time using the "atexit" module: import atexitatexit.register(myfunction) EDIT: Based on your comments. Since you don't want it as a destructor, my answer above is correct. Just def...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/944336', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/18909/']}
jdg_294107
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
15068
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: I've just finished reading Ash and Gross's Fearless Symmetry , a wonderful little pop mathematics book on, among other things, Galois representations. The book made clear a v...
If you want to go further in understanding this point of view, I would advise you to begin learning class field theory. It is a deep subject, it can be understood in a vast variety of ways, from the very concrete and elementary to the very abstract, and although superficially it appears to be limited to describing abe...
{}
{'log_upvote_score': 5, 'links': ['https://mathoverflow.net/questions/15068', 'https://mathoverflow.net', 'https://mathoverflow.net/users/290/']}
jdg_327957
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
461456
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 trying to study for an exam on graph theory and I have a few questions. How would you start a proof? For example, when I see a problem like this: Let G be a graph w...
Philosophically speaking, if you don't know where to start a good idea is to try a proof by contradiction. In graph theory, this will usually give you some structure to latch onto, stare at, and hopefully reach a eureka moment. For example, here is a proof of your problem by contradiction. Proof. Suppose not. Then $G...
{}
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jdg_187664
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
31060642
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 single audio control on my webpage. I wish to use it to play multiple very short audio files depending on the state of the page. I do not wish to load the files as I...
var audioFiles = [ "http://www.teanglann.ie/CanC/nua.mp3", "http://www.teanglann.ie/CanC/ag.mp3", "http://www.teanglann.ie/CanC/dul.mp3", "http://www.teanglann.ie/CanC/freisin.mp3"]; function preloadAudio(url) { var audio = new Audio(); // once this file loads, it will call loadedAudio() // the ...
{}
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jdg_270147
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
957804
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 have to prove that:$$ \binom n 0 ^2 + \binom n 1 ^2 + \dots + \binom n n ^2 = \binom { 2n} n $$ I don't want a complete solution, but only a hint. Now provide the r...
The secret is to expand $(1+x)^{2n}$ in two ways:$$\sum_{k=0}^{2n}\binom{2n}{k}x^k=(1+x)^{2n}=\left(\sum_{k=0}^{n}\binom{n}{k}x^k\right)\left(\sum_{k=0}^{n}\binom{n}{k}x^{n-k}\right).$$In the left sum the coefficient of $x^n$ is $\binom{2n}{n}$ while the the right one in$$\sum_{k=0}^n\binom{n}{k}\binom{n}{k}=\sum_{k=0}...
{}
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jdg_172005
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
27092991
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 some pdf viewers such as Preview on OSX, plots made with matplotlib 's pcolor have white lines (see image below). How can I get rid of them? The source code is very simple...
The comments have a good solution that utilizes imshow . When imshow is not appropriate for the input data (e.g. it is not uniformly spaced) this generally solves this problem, pcol = pl.pcolormesh(x,y,z,cmap="Blues",linewidth=0,)pcol.set_edgecolor('face') If that approach does not reduce the lines sufficiently, you ca...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/27092991', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/115102/']}
jdg_141309
PrimeIntellect/stackexchange-question-answering