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 | 45482350 |
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 display several boxes next to each other. Each box has a variable number of child items. The parent should expand according to the space that the child items are ta... | This appears to be a bug in Chrome. In this section of code: .items span { flex-basis: 25px; flex-shrink: 0;} ... Chrome is not respecting the fixed 25px width. Or, at least, the container is not recognizing the space. It looks like the container is being sized before all item calculations are factored in. The simple... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/45482350', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5044561/']} | jdg_361851 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 21160875 |
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 std::rotate so much faster than the equivalent function that cplusplus.com describes? cplusplus.com's implementation: template <class ForwardIterator> void rotate (Fo... | Edit: Since the context is not given, it is not clear if your code calls std::swap() or another swap(a,b) algorithm like T tmp = a; a = b; b = tmp; When a and b are vectors of 1000 int s each, this would copy all vector elements 3 times. The specialized version of std::swap() for containers like std::vector<T> call the... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/21160875', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1162348/']} | jdg_160342 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 24079617 |
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 create a filter, which matches the number format xxx-xx-xxxx ie. 123-12-1234. DEMO angular.module('ng').filter('tel', function () { return function (tel) { ... | Hi Almaron (aka Malkav) I'm wafflejock from the IRC here's the thing working as best I could get it: http://plnkr.co/edit/TUOYmM?p=preview var app = angular.module('main', ['ngTable']).controller('DemoCtrl', function($scope, ngTableParams, NameService) { var data = NameService.data; $scope.tableParams = new ngTab... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/24079617', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3106062/']} | jdg_135024 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 43779219 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
int main(){ short n1 = 8ll; // no warning // warning C4305: 'initializing': truncation from '__int64' to 'short' // warning C4309: 'initializing': truncation of cons... | The standard allows the implicit conversion between any two integer types, regardless of their values. The compiler warnings are unrelated to the code being legal; the compiler just warns you when your code probably does not do what you wanted it to. In your specific case, n1 would be 8 and n2 would have an implementat... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/43779219', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/508343/']} | jdg_199074 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 13367758 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
String(1.1) == (1.1).to_s => trueString(1.1) === (1.1).to_s => true Is there a difference between these two coercion methods? If so, can you demonstrate?
Now provide th... | The docs for the String method say: Converts arg to a String by calling its to_s method. So generally they are the same, but there are some differences – although you’re unlikely to see them for real. String() checks the class of its parameter, and if it’s not already a String then calls to_s on it. Calling to_s direct... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/13367758', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/41906/']} | jdg_291884 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 7731121 |
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 write a regex, which extractst the package path in a .java file? Something like this: package java.awt.event;// java code to this java.awt.event which i tha... | "package\\s+([a-zA_Z_][\\.\\w]*);" There can only be one package at the beginning of a java file. Only word characters and "." are allowed. "package\\s+" => the work "package" followed by at least one space"(" => start of capture"[a-zA-Z_]" => first character of package (doesn't include numeric digits)"[\\.... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/7731121', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/527142/']} | jdg_350137 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 59774722 |
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 noticed some strange behaviour that may or may not be specific to my system. (lenovo t430 running windows 8) With this script: import timenow = time.time()while True: ... | I extra fired up Windows 7 to replicate your findings and I can confirm it. It's a Windows thing with the type of timer used and a default resolution of 15.6 ms (minimum 0.5 ms). Applications can alter the current resolution (WinAPI function: timeBeginPeriod ) and Chrome does so. This function affects a global Windows ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/59774722', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2334254/']} | jdg_160522 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 6867892 |
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 doing some rather long computations, which can easily span a few days. In the course of these computations, sometimes Mathematica will run out of memory. To this end, I'v... | Since you are using Module extensively, I think you may be interested in knowing this bug with non-deleting temporary Module variables. Example (non-deleting unlinked temporary variables with their definitions): In[1]:= $HistoryLength=0;a[b_]:=Module[{c,d},d:=9;d/;b===1];Length@Names[$Context<>"*"]Out[3]= 6In[4]:= lst=... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/6867892', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/312124/']} | jdg_81580 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 58021797 |
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 looking for this answer on the web for some time. But apparently my search phrases were wrong or it is really that hard. But I doubt it. Imagine, I have any 3d-body. A ... | tl;dr: If your mesh is properly UV mapped, you can render the text onto a RenderTexture and use it as the texture for your object's material Not that simple but here is how you can achieve something similar. This requires your 3D models to be correctly UV mapped so you can simply apply a flat texture to it. The setup m... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/58021797', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2029625/']} | jdg_180160 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 5423489 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Given an unsorted array of numbers, write a function that returns true if array consists of consecutive numbers. Examples: If array is {5, 2, 3, 1, 4}, then the function shou... | If the input array is A: Find the minimum and maximum values of A, return False if the array is of the wrong size. Create a new array, B, of the same size, initially with all zeroes For each index i, let B[A[i] - min] = 1. Check to see if B still contains any zeroes. Each step takes O(n) time. | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/5423489', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/507466/']} | jdg_326394 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 13181241 |
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 wrote this innocent piece of code, and results in such an evil error: static char * prefixed( char * pref, char *str ) { size_t newalloc_size = sizeof(char) * (strlen(pr... | This smells like a memory leak or buffer overflow (or some other heap corruption) elsewhere in your program. I suggest to recompile it using the -Wall -g options to gcc , to improve your program till no warnings are given by the compiler, and to use valgrind and gdb to debug the issue. Actually, your statement result =... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/13181241', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1391026/']} | jdg_90183 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 5472 |
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'm trying to find a way to have Mathematica always represent a numerical value as a self defined variable that I define using lhs=rhs . For example, if I execute... | My solution below uses TagSetDelayed and associates the transformation rules with Power . Although I very much dislike using structural manipulations for such purposes, it might be a viable option here since the use case is narrow. Unprotect[Power]Power /: Power[-1, Rational[n_Integer, _]] := ρ^nProtect[Power] If you w... | {} | {'log_upvote_score': 4, 'links': ['https://mathematica.stackexchange.com/questions/5472', 'https://mathematica.stackexchange.com', 'https://mathematica.stackexchange.com/users/1236/']} | jdg_92162 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3388899 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Just a quick question I have built the following code: http://letterpool.testmode.co.uk/map.html However with some users I am getting reports that people are getting around a... | The W3C Geolocation API , which you're using to locate users on the test map, is intentionally agnostic to the method the browser uses to locate the device. This is a useful convenience since devices vary widely on how they locate (GPS, WiFi triangulation, cell tower triangulation, IP geolocation, manual entry, etc.) a... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/3388899', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/123663/']} | jdg_125169 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 491194 |
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:
Let's say I perform linear regression on some data that produces the following $R^2$ : $\text{RSS} = 1966815.13$ $\text{TSS} = 2145213.91$ $R^2 = 0.083$ Now let's say ... | You decreased the (total) variance in the data making it easier to explain. Thanks to the same $y$ -axis limits, it can be easily seen that the data of your first example is much more spread in this direction than in the $x$ -axis direction.Your linear regression model does capture the slight trend of increasing $y$ wi... | {} | {'log_upvote_score': 4, 'links': ['https://stats.stackexchange.com/questions/491194', 'https://stats.stackexchange.com', 'https://stats.stackexchange.com/users/249225/']} | jdg_135946 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 45664638 |
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 cloud formation template that creates a code pipeline. The pipeline has three stages: Stages: - Name: "Source" Actions: - Na... | Same problem occurs on my template for a Cloudfront distribution. The solution was to use AWS::NoValue with the Ref attribute. ...LambdaFunctionAssociations: Fn::If: - Authentication - - EventType: "viewer-request" LambdaFunctionARN: "arn:aws:lambda:us-east-1:..." - - Ref: "AWS::NoValue"... If this w... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/45664638', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/363847/']} | jdg_199710 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 17521818 |
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 short C# program: IList<string> listString = new List<String>();IList<object> listObject;listObject = listString; This program doesn't compile. The last ... | The reason why the implicit cast from IList<string> to IList<object> won't compile is, as you seem to know, that the IList<T> interface is not covariant in T . If, with .NET 4.5, you used IReadOnlyList<out T> instead, it would work. The reason why the explicit cast listObject = (IList<object>)listString; will compile, ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/17521818', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/871910/']} | jdg_105194 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 438046 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Any ideas as to how Apple implemented the "slide to unlock" (also, "slide to power off" is another identical example) animation? I thought about some sort of animating mask -... | It can be easilly done by using Core Animation, animating a mask layer on the layer displaying the text. Try this in any plain UIViewController (you can start with a new Xcode project based on the View-based application project template), or grab my Xcode project here : Note that the CALayer.mask property is only avail... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/438046', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/-1/']} | jdg_376194 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 22511151 |
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 remove the earliest several documents in a collection, so I wrote something like this: Model.remove({ u: "abc"}).sort({ _id: 1}).limit(10).exec(function (err,... | MongoDB's remove operation doesn't support a limit option, but you can find the _id s of the docs you want to remove, and then use $in to remove them: Model.find({u: "abc"}).select('_id').sort({_id: 1}).limit(10) .exec((err, docs)=> { const ids = docs.map((doc)=> doc._id); Model.deleteMany({_id: {$in: ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/22511151', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/783653/']} | jdg_277305 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2037028 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Seq.max finds the max number. I'd like to have something like Seq.findIndex Seq.maxIndex returns the index of the maximum element.
Now provide the response and nothing else.... | I believe you are looking for something like: let maxIndex seq = fst (Seq.maxBy snd (Seq.mapi (fun i x -> i, x) seq)) Note that giving this function an empty sequence will result in an ArgumentException. (Alternatively, written in pipelining style: let maxIndex seq = seq |> Seq.mapi (fun i x -> i, x) |> ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/2037028', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/183828/']} | jdg_105857 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1773167 |
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$$\lim_{n \to \infty}\frac{1}{\sqrt{n}}\left[\frac{1}{\sqrt{2}+\sqrt{4}}+\frac{1}{\sqrt{4}+\sqrt{6}}+\cdots+\frac{1}{\sqrt{2n}+\sqrt{2n+2}}\right]$$ MY TRY:$$\begin{... | $$\frac{1}{\sqrt{2k}+\sqrt{2k+2}}=\frac{\sqrt{2k+2}-\sqrt{2k}}{2}$$ The sum telescopes to $\displaystyle \frac{1}{\sqrt n} \frac {\sqrt{2n+2} - \sqrt 2 }{2}$ which converges to $1/\sqrt{2}$ If you miss this, you can still use integrals to get bounds on $\sum_{k=1}^n \frac{1}{\sqrt{2k}+\sqrt{2k+2}}$ | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/1773167', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/249254/']} | jdg_357016 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 22999 |
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:
My interest in combinatorics was recently sparked when I read about the many things that the Catalan numbers count, as found by Richard Stanley. I picked up a copy of Br... | You are correct that you can think of this as a problem of counting (restricted) paths on the $\mathbb{Z}^2$, and that this is probably a good way to think about it. But I think it is easier if you think of a square array, and you are trying to get from the bottom left, $(0,0)$, to the upper right $(n,m)$, and your ste... | {} | {'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/22999', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/1583/']} | jdg_371496 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 6427764 |
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 the following SQL to concatenate several database columns from one table into one column in the result set: SELECT (field1 + '' + field2 + '' + field3) FROM table1 When... | The SQL standard way of doing this would be: SELECT COALESCE(field1, '') || COALESCE(field2, '') || COALESCE(field3, '') FROM table1 Example: INSERT INTO table1 VALUES ('hello', null, 'world');SELECT COALESCE(field1, '') || COALESCE(field2, '') || COALESCE(field3, '') FROM table1;helloworld | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/6427764', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/231464/']} | jdg_164887 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 8744813 |
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 MYSQL dump from a database that I am trying to move to a new db server. When I try to import my sql dump, I receive the following error: MySQL Error 2006 (HY000) at ... | Adding this answer for the benefit of future searchers, as it explains why increasing the packet size fixed the problem: The situation is that if a client sends a SQL-statement longer than the server max_allowed_packet setting, the server will simply disconnect the client. Next query from the same client instance will ... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/8744813', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1108487/']} | jdg_142388 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 44286559 |
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 get the values of multiple textboxes using the same script. In my script, I am getting the textbox values before and after change of value for a single textbox. How... | Symfony 3.2 Use the setCircularReferenceLimit method. For example: $normalizer = new ObjectNormalizer();$normalizer->setCircularReferenceLimit(2);// Add Circular reference handler$normalizer->setCircularReferenceHandler(function ($object) { return $object->getId();});$normalizers = array($normalizer);$serializer = n... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/44286559', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/7876968/']} | jdg_96385 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 55910231 |
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 two lists of tuples that I am working with to eventually help me automate processes. I am looking to see how I can properly identify if there are matches in those list... | "I should remove the observer everytime the view that instantiates the ViewModel (with the previous code) was destroyed, right?" If you are obsering a LiveData in ViewModel using observeForever(observer) : You should not worry about View's lifecycle, because it is different from ViewModel's life. ViewModel should be ab... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/55910231', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/11308135/']} | jdg_235535 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 150078 |
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:
My goal is to create a certificate with openssl similar to this one generated with cfssl Certificate: Data: Version: 3 (0x2) Serial Number: ... | According to the bugs section of the x509 command documentation , Extensions in certificates are not transferred to certificate requests and vice versa. To work around this, I manually added the extensions to the self-signed certificate. This I did by copying the options from the [v3_req] section into a [v3_ca] section... | {} | {'log_upvote_score': 6, 'links': ['https://security.stackexchange.com/questions/150078', 'https://security.stackexchange.com', 'https://security.stackexchange.com/users/15194/']} | jdg_323400 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 111992 |
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 $(\tan^{-1}{x})' = \frac{1}{1+x^2}$ How should I proceed? I tried: Then another which I think is wrong: What should I be doing? UPDATE In my lecture notes ... mayb... | I guess that you want to prove that $(\tan^{-1} x)'=1/(1+x^2)$. $$ (\tan^{-1} x)'=\frac{1}{\tan' y}$$ where $\tan y=x$. Therefore $$ (\tan^{-1} x)'=\frac{1}{1+\tan^2 y}=\frac{1}{1+x^2}$$ | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/111992', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/2006/']} | jdg_176938 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 55395642 |
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 was trying to compare the system time with the time entered in a Time Picker To do this I placed the system time within a string which is the variable cTime and the time... | I spent about two hours on it :) how to use: import 'package:flutter/material.dart';void main() => runApp(App());class App extends StatelessWidget { @override Widget build(BuildContext context) { return MaterialApp( home: Scaffold( body: SafeArea( child: Center( child: Column( ... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/55395642', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/6366565/']} | jdg_340171 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 177981 |
Below is a question asked on the forum serverfault.com. Provide a good and informational response to it like a helpful human would.
Question:
We run Apache version 2.2.8-1ubuntu0.15 on our VPS instance of Ubuntu 8.04.4 LTS \n \l , as I determined by asking this question . When I issue pgrep apache2 , I get the follow... | Yes. Apache works like a traditional unix daemon, whereby: Main program waits for an incoming request (blocks on a socket) After receiving the request, the fork() system call is used, which causes the main process to clone itself The main process then waits again for another request The forked copy proceeds to handle ... | {} | {'log_upvote_score': 4, 'links': ['https://serverfault.com/questions/177981', 'https://serverfault.com', 'https://serverfault.com/users/53319/']} | jdg_209415 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 31625637 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
/<a .*href.*>/ig is a simple regex which selects strings like: <a href><a href="www.example.com"><a href="http://www.google.com" target="_blank">click me</a><a href="www.goog... | You have three errors conspiring to break your program. If you had use strict and use warnings at the top of your code as you should have then Perl would have printed messages to alert you You have declared a second $str , which is therefore undef and is printed as an empty string You have the caret outside the charact... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/31625637', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3830877/']} | jdg_127809 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 30401042 |
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 loading a wav with the scipy method wavefile.read() which gives me the samplerate and the audiodata I know that this audio data if stereo is stored as a multi-dimensiona... | First, what is the datatype of audiodata ? I assume it's some fixed-width integer format and you therefore get overflow. If you convert it to a floating point format before processing, it will work fine: audiodata = audiodata.astype(float) Second, don't write your Python code element by element; vectorize it: d = (audi... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/30401042', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2145312/']} | jdg_164671 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
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I've just started to learn about Cohen-Macaulay rings. I want to show that the following rings are Cohen-Macaulay: $k[X,Y,Z]/(XY-Z)$ and $k[X,Y,Z,W]/(XY-ZW)$. Also I am ... | a) The ring $k[X,Y,Z]/(XY-Z)$ is isomorphic to the ring $k[X,Y]$, which is regular. Since a regular ring is Cohen-Macaulay, the original ring $k[X,Y,Z]/(XY-Z)$ is Cohen-Macaulay. b) The ring $k[X,Y,Z,W]/(XY-ZW)$ is a complete intersection ring and is consequently Cohen-Macaulay. [By the way, this argument also applie... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/751670', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/142710/']} | jdg_206259 | PrimeIntellect/stackexchange-question-answering |
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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've heard lots of people saying that the IN keyword in most relational databases is slow. How true is this? An example query would be this, off the top of my head: SELECT * ... | In PostgreSQL, exactly what you'll get here depends on the underlying table, so you should use EXPLAIN ANALYZE on some sample queries against a useful subset of your data to figure out exactly what the optimizer is going to do (make sure the tables you're running against have been ANALYZEd too). IN can be processed a ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/957405', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/104184/']} | jdg_378215 | PrimeIntellect/stackexchange-question-answering |
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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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According to Charles Nutter , Duby is a static-typed language with Ruby's syntax and Java's type system. Duby supports all Ruby's literals, uses local type inference (only... | I'm going to answer the questions out of order, starting with the simplest one: 2. Could someone elaborate a little bit more on what this distinction is about? Duby is statically typed, Surinx (which is the final name for what was for a short amount of time called Juby ) is dynamically typed. That's already all there i... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/1337137', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/163301/']} | jdg_371519 | PrimeIntellect/stackexchange-question-answering |
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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 trying to get a JSON result with a set of random pages from Wikipedia, including their titles, content and images. I've played around with their API sandbox, and so far t... | You're close. generator=random is the right way to go. You can then use various prop values to get the info you want: Page title is always included. To get the text, use prop=revisons along with rvprop=content . To get all images used on the page, use prop=images . Note that this will often include images you're probab... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/33614492', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2717744/']} | jdg_192086 | PrimeIntellect/stackexchange-question-answering |
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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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what happens when you dereference a pointer when passing by reference to a function? Here is a simple example int& returnSame( int &example ) { return example; }int main(){ ... | Dereferencing the pointer doesn't create a copy; it creates an lvalue that refers to the pointer's target. This can be bound to the lvalue reference argument, and so the function receives a reference to the object that the pointer points to, and returns a reference to the same. This behaviour is well-defined, and no te... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/11347111', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/644439/']} | jdg_99440 | PrimeIntellect/stackexchange-question-answering |
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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 make full database backup of my server's all databases with unique name daily. For that I have an idea to keep timestamp which will make database copy separate.Supp... | To create a daily backup with a name such as Filename_MM_DD_YYYY: In SSMS, right-click the database you want to backup Select Tasks | Back Up In the dialog, select the type and location of the backup At the top of this dialog, select the Script Action to Job option in the Script drop down menu A New Job dialog is opene... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/16729097', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1624583/']} | jdg_269051 | PrimeIntellect/stackexchange-question-answering |
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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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So if I have a Name object and have an ArrayList of type Name ( names ), and I want to ascertain whether my list of names contains a given Name object ( n ), I could do it tw... | The problem with the stream-based version is that if the collection (and thus its stream) contains null elements, then the predicate will throw a NullPointerException when it tries to call equals on this null object. This could be avoided with boolean exists = names.stream().anyMatch(x -> Objects.equals(x, n)); But the... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/35200250', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3780370/']} | jdg_123247 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
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I am asked to present a self-dual graph of n vertices. An obvious choice would be a wheel of n vertices. I think I should provide a proof that a wheel is self-dual; howe... | If you don’t need to be too formal: Embed it on a sphere with the central vertex at the north pole and the other vertices spaced around the Tropic of Capricorn at longitudes $\frac{360k}n$ for $k=0,1,\dots,n-1$, if there are $n$ peripheral vertices. The dual graph is then naturally constructed with its central vertex a... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/356851', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/59331/']} | jdg_245786 | PrimeIntellect/stackexchange-question-answering |
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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 new to python, and i read some code snippet from some place. It's an implementation of counting sort. The code is as below: from collections import defaultdictdef sort_c... | Short answer (as per Montaro's answer below) defaultdict(lambda:1) Long answer on how defaultdict s work ht = {}ht = defaultdict(lambda:0, ht) defaultdict s are different from dict in that when you try to access a regular dict with a key that does not exists, it raises a KeyError . defaultdict , however, doesn't raise ... | {} | {'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/30356892', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1544790/']} | jdg_127805 | PrimeIntellect/stackexchange-question-answering |
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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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There are multiple threads( a , b , c etc.) about the fact that Clear () ing items in the .NET component containers does not Dispose them(by calling Dispose( true ). Most fre... | Asking for modifications like this is pointless, the Windows Forms team has been disbanded quite a while ago. It is in maintenance mode, only security issues and OS incompatibilities are considered. It is otherwise simple enough to create your own method to do this: public static class ExtensionMethods { public sta... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/1969705', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/185593/']} | jdg_198374 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
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Let $H$ and $K$ be subgroups of a finite group $G$, at least one of which is normal. Show that if $|H|$ and $[G:K]$ are relatively prime, then $H \leq K$. In the case th... | Hint : $HK$ is a subgroup of $G$ and $[HK:K]$ divides $[G:K]$. Here's a reasonably complete answer, so look away if you don't want that yet: Also $|HK|/|K| = [H:H \cap K]$ divides $|H|$. Thus $[HK:K]$ divides two relatively prime integers, so divides $1$.Hence $[H:H \cap K] = 1$ and $H \leq K$. You don't really need no... | {} | {'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/55485', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/1761/']} | jdg_79737 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum computergraphics.stackexchange.com. Provide a good and informational response to it like a helpful human would.
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I'm trying to implement ambient occlusion in Python 3 and I'm seeing shadows beneath my reflective spheres but they seem very faint. I'm not sure if that mea... | It's a bit hard to tell from your image, but it does look a bit faint. When debugging these kinds of things, it's always useful to strip down your scene as much as possible to remove any unnecessary complexity from the picture. In your case, try only creating a single diffuse sphere that touches the ground in one point... | {} | {'log_upvote_score': 4, 'links': ['https://computergraphics.stackexchange.com/questions/210', 'https://computergraphics.stackexchange.com', 'https://computergraphics.stackexchange.com/users/231/']} | jdg_147731 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum chemistry.stackexchange.com. Provide a good and informational response to it like a helpful human would.
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There was a section about atomic orbitals in my organic chemistry textbook that I did not quite understand. First the author explained a bit about the Schrödinger e... | Without going into a long discussion about what the wave function is, I will try to briefly answer your questions: 1) For atoms, the (approximate) solution to $\Psi$ is the product of two functions: the radial components (distance from the nucleus) the angular/spherical components (behavior going around the nucleus, li... | {} | {'log_upvote_score': 4, 'links': ['https://chemistry.stackexchange.com/questions/12397', 'https://chemistry.stackexchange.com', 'https://chemistry.stackexchange.com/users/1887/']} | jdg_275390 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 44041 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
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There exist irreducible polynomials in $\mathbb{Z}[x]$ (e.g. $x^4-10x^2+1$) which are reducible modulo every prime $p$. (A proof can be found in J.S. Milne's Fields and ... | No, there is no such polynomial. Any polynomial $f(x) \in \mathbb{Z}[x]$ with degree greater than $1$ is reducible modulo every prime factor of every value it takes. For, take any value of $n$ for which $f(n) \neq \pm 1$. (There must exist such $n$ because $f$ can take the values $1$ and $-1$ only finitely many times.)... | {} | {'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/44041', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/4396/']} | jdg_238549 | PrimeIntellect/stackexchange-question-answering |
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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 have a question regarding the Java Memory Model. Here is a simple class presenting the problem: public class ImmutableIntArray { private final int[] array; public Imm... | In this example, everything will be fine (hmm, let's suspend judgement a bit). Immutability is ambrosia when it comes to thread-safety - if a value cannot change, the majority of concurrency problems are immediately no longer a concern. Amir mentioned volatile which is generally useful - but the constructor also has s... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/6626079', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/552601/']} | jdg_77996 | PrimeIntellect/stackexchange-question-answering |
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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: \mathbb {R}\rightarrow[0,+\infty)$ be a two times differentiable function with $f (0)=0$ , $f'(0) = 1$ , and $f(x)+1=\dfrac {1}{f''(x)}$ for $x\in [0,1]$ . Show ... | First, $$f'' = \frac{1}{1+f} \Rightarrow f'f'' = \frac{f'}{1+f}.$$ Then $$ \frac{d}{dx}\left(\frac{1}{2}{f'}^2\right) = \frac{d}{dx}\left(\ln(|1+f|)\right).$$ This implies below. ( $f(0)=0$ and $f'(0) = 1$ gives constant precisely.) $$\frac{1}{2}{f'}^2 = \ln(|1+f|) + \frac{1}{2}$$ Thus $|f'| = \sqrt{2\ln(|1+f|) + 1}$ .... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/3544523', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/699830/']} | jdg_270050 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 222108 |
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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On my busiest production installation, on occasion I get a single thread that seems to get stuck in an infinite loop. I've not managed to figure out who is the culprit, afte... | It looks like the nid in the jstack output is the Linux LWP id. "http-342.877.573.944-8080-360" daemon prio=10 tid=0x0000002adaba9c00 nid=0x754c in Object.wait() [0x00000000595bc000..0x00000000595bccb0] Convert the nid to decimal and you have the LWP id. In your case 0x754c is 30028. This process is not shown in our ps... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/222108', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2961/']} | jdg_275786 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum stats.stackexchange.com. Provide a good and informational response to it like a helpful human would.
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I am working on an assignment involving a logistic regression model, where I need to plot the pearson standardized residuals against one of the predictors. Here's the b... | For logistic regression, Stata defines residuals and related quantities to be those you'd get if you grouped all the observations with the same values for all the predictor variables, counted up the successes and failures for those observations, and fitted a logistic regression model to the resulting binomial data inst... | {} | {'log_upvote_score': 4, 'links': ['https://stats.stackexchange.com/questions/24975', 'https://stats.stackexchange.com', 'https://stats.stackexchange.com/users/4754/']} | jdg_122373 | PrimeIntellect/stackexchange-question-answering |
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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 if there is a way to let the program continue after an exception is thrown. For example: Try line 1 line 2 line 3 line 4 ' (here the exception is thr... | If you're doing something that you know how to recover from or that isn't vital, you're supposed to wrap just that line in the try/catch with a specific catch.e.g. Try line 1 line 2 line 3 Try line 4 ' (here the exception is throw and jumps to the catch) Catch iox as IOException ' or whatever type is being th... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/3366635', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/333838/']} | jdg_72930 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum stats.stackexchange.com. Provide a good and informational response to it like a helpful human would.
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I have a dataset of water temperature measurements taken from a large waterbody at irregular intervals over a period of decades. (Galveston Bay, TX if you’re interested... | Rather than try to decompose the time series explicitly, I would instead suggest that you model the data spatio-temporally because, as you'll see below, the long-term trend likely varies spatially, the seasonal trend varies with the long-term trend and spatially. I have found that generalised additive models (GAMs) are... | {} | {'log_upvote_score': 5, 'links': ['https://stats.stackexchange.com/questions/244042', 'https://stats.stackexchange.com', 'https://stats.stackexchange.com/users/20491/']} | jdg_367601 | PrimeIntellect/stackexchange-question-answering |
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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 a little confused about Cassandra seed nodes and how clients are meant to connect to the cluster. I can't seem to find this bit of information in the documentation. Do th... | Answering my own question: Seeds From the FAQ : Seeds are used during startup to discover the cluster. Also from the DataStax documentation on "Gossip": The seed node designation has no purpose other than bootstrapping the gossip process for new nodes joining the cluster. Seed nodes are not a single point of failure,... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/10407072', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/11125/']} | jdg_154142 | PrimeIntellect/stackexchange-question-answering |
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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 tried to update an existing data-target with a data-target="#testModal1" to point to the #testModal2 modal using jquery .data , but even after the data attribute change it ... | Let's look in the jQuery documetation what .data() is: .data() Store arbitrary data associated with the matched elements or return the value at the named data store for the first element in the set of matched elements. .data( key, value ) Description : Store arbitrary data associated with the matched elements. key Type... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/22725281', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1678772/']} | jdg_77249 | PrimeIntellect/stackexchange-question-answering |
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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 trying to remove stopwords from a string of text: from nltk.corpus import stopwordstext = 'hello bye the the hi'text = ' '.join([word for word in text.split() if word no... | Try caching the stopwords object, as shown below. Constructing this each time you call the function seems to be the bottleneck. from nltk.corpus import stopwords cachedStopWords = stopwords.words("english") def testFuncOld(): text = 'hello bye the the hi' text = ' '.join([word for word in text.split... | {} | {'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/19560498', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1583516/']} | jdg_229001 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum chemistry.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
Why is it a requirement that the ester should have 2 alpha hydrogens in this reaction although we actually need just one for the reaction to occur?
Now provide the... | Great question! The Claisen reaction happens under equilibrium conditions, and the addition of the ester enolate is highly reversible. Your mechanism omits the very important end of this reaction, which is that the β-keto ester product is highly acidic and easily deprotonated to yield the corresponding enolate. The eno... | {} | {'log_upvote_score': 4, 'links': ['https://chemistry.stackexchange.com/questions/70334', 'https://chemistry.stackexchange.com', 'https://chemistry.stackexchange.com/users/42352/']} | jdg_176678 | PrimeIntellect/stackexchange-question-answering |
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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 need a regex to match any character(s) followed by foo. or bar. followed by anything followed by is.a.server followed by anything . e.g: "foo.lnx station is.a.server" # mat... | In .NET 5 and .NET Core 3.1 the closest equivalent to JObject is indeed JsonElement so you could modify your DTO as follows: public class MyDTO{ public JsonElement ExtractedData {get;set;}} There is no need to worry about disposing of any documents as, internally, the JsonElementConverter used by JsonSerializer retu... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/65620120', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2748513/']} | jdg_138644 | PrimeIntellect/stackexchange-question-answering |
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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(n)$ the be largest exponent among exponents of the prime factor of $n$ . E.g. $f(80) = 4$ since $80 = 2^4.5$ and the prime factor of $80$ which has the largest ex... | The limit exists, and equals the constant $1.70521...$ by which you've lower bounded it. To show this, we first need a claim which lets us evaluate the sum of $f(k)$ . Claim. Let $s_b(n)$ be the sum of the digits of $n$ when written in base $b$ , and let $$g_b(n)=\frac{n-s_b(n)}{b-1}=\sum_{k=1}^\infty \left\lfloor\frac... | {} | {'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/4341574', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/60930/']} | jdg_169724 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1060746 |
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 $$1+2^n+3^n+4^n$$ is divisible by $10$ if $$n\neq 0,4,8,12,16.....$$
Now provide the response and nothing else.
| We consider it $(\mathrm{mod}\;2)$ and $(\mathrm{mod}\;5)$ separately. Clearly $1$ and $3^n$ are odd, while $2^n$ and $4^n$ are even, so their sum is even. Now by Fermat's Little Theorem, when $a$ is not divisible by $5$, $a^5 \equiv a \mod 5$, so $a^4 \equiv 1 \mod 5$. Thus we only need to check $n=1$, $2$, and $3$. (... | {} | {'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/1060746', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/187799/']} | jdg_369443 | PrimeIntellect/stackexchange-question-answering |
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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 trying to use the sklearn MinMaxScaler to rescale a python column like below: scaler = MinMaxScaler()y = scaler.fit(df['total_amount']) But got the following errors: Tra... | The input to MinMaxScaler needs to be array-like, with shape [n_samples, n_features] . So you can apply it on the column as a dataframe rather than a series (using double square brackets instead of single): y = scaler.fit(df[['total_amount']]) Though from your description, it sounds like you want fit_transform rather t... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/51643004', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3993270/']} | jdg_169608 | PrimeIntellect/stackexchange-question-answering |
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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 $f(n)=\sum_{r=0}^{n}\sum_{k=r}^{n}\binom{k}{r}$.If $f(n)=2047,$ then find the value of $n.$ $f(n)=\sum_{r=0}^{n}\sum_{k=r}^{n}\binom{k}{r}=\sum_{k=0}^{n}\binom{k}{0}... | I will show you that $f(n) = 2^{n+1}-1$.$$f(n) = \sum_{0 \le r \le k \le n} \binom{k}{r} = \sum_{k=0}^n \left( \sum_{r=0}^k \binom{k}{r} \right) = \sum_{k=0}^n 2^k = 2^{n+1}-1$$ So that $$2047 = 2^{n+1}-1$$$$2^{n+1}= 2048 = 2^{11}$$$$n+1=11$$$$n=10$$ | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/1704405', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/257841/']} | jdg_169441 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 453374 |
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:
Question: For the generalized rectangle $I= [0,1]\times [0,1]$ in the plane $\Bbb R^2$ $$f(x,y)=\begin{cases} 5 & if\ \ (x,y)\ is\ in\ I\ and\ x> 1/2 \\ 1 & if\ (x,y)\ ... | From the condition you get $f(0)=0$, hence either $f=0$ or $f(z)=z^k g(z)$ for some $k>0$ and $g$ entire with $g(0)\ne 0$.Now $|g(z)|^5\le |z|^{6-5k}$ for all $z\ne 0$.If $k>1$, this implies that $g$ is bounded, hence constant, but $f(z)=cz^k$ is no solution if $k>1$, $c\ne 0$.Therefore $k=1$ and $|g(z)|^5\le|z|$ for $... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/453374', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/52042/']} | jdg_119734 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 5044543 |
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 guy who created all the reporting using SSRS has left, and I am trying to troubleshoot one of the reports being generated. How do I get access to look at the query that i... | This will give a listing of the reports with their xml report definition: SELECT Name,CAST(CAST(Content AS VARBINARY(MAX)) AS XML) AS ReportXMLFROM ReportServer.dbo.Catalogwhere Type = 2order by Name The info you want is in the DataSets section, example below. There may be more than one query / stored procedure in the ... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/5044543', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/588141/']} | jdg_179969 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 19609991 |
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 going to need your help with this constant tuple error I keep getting. Seems that it is a common mathematical error that many have. I have read almost every instance of ... | Your checkAnswer() function returns a tuple : def checkAnswer(number1, number2, answer, right): if answer == number1+number2: print 'Right' right = right + 1 else: print 'Wrong' return right, answer Here return right, answer returns a tuple of two values. Note that it's the comma that make... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/19609991', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1833481/']} | jdg_101542 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 238728 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
We are an organisation who have purchased a system which is used by doctors to view test results of patients (quite sensitive information).Being a programmer, I have poked an... | If it's medical data and you live in the United States, there is an excellent chance that access to it is subject to HIPAA regulations, including security requirements. You should review http://www.cms.hhs.gov/SecurityStandard/Downloads/SecurityGuidanceforRemoteUseFinal122806.pdf . If you don't live in the United State... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/238728', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/29820/']} | jdg_255849 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 265886 |
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 seen that, in 32-bit microcontroller, each address of memory holds only 8 bits of data; it is the same for a 16 bit MC as well. For 32-bit data, it uses a ... | There are a few DSPs (e.g., TI C54x) that cannot address values smaller than 16 bits, and some audio DSPs use 24 bits. However, 8-bit values are used in pretty much all general-purpose code, so all general-purpose CPUs support it. And just because the smalled unit used for memory addresses is 8-bit bytes does not mean ... | {} | {'log_upvote_score': 5, 'links': ['https://electronics.stackexchange.com/questions/265886', 'https://electronics.stackexchange.com', 'https://electronics.stackexchange.com/users/128030/']} | jdg_97510 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 755544 |
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 delete a column from an existing table?
Now provide the response and nothing else.
| The command you're looking for is: alter table tblName drop column columnName where tblName is the name of the table and columnName is the name of the column, but there's a few things you may need to do first. If there are any foreign key references to the column, you'll need to get rid of them first. If there's an ind... | {} | {'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/755544', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/90543/']} | jdg_328843 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 41503326 |
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 so bad about singletons? It has been explained so clearly that the Singleton design pattern violates multiple best practices. Then why are spring beans singleton by d... | The singleton pattern and a spring singleton have very little in common. Actually the only thing is probably: There is just one instance at runtime in production Let's go through the critic of the pattern from the answer you linked to: They are generally used as a global instance, why is that so bad? Because you hide t... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/41503326', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5672743/']} | jdg_319468 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 56857782 |
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 SwiftUI to develop a new macOS application and can't figure out how to define the window size. In the AppDelegate, the window size is defined as shown below: // ---... | At times, the behaviour can be confusing. That is because once you run your app at least once, if you then manually resize and reposition your window, the sizes specified in the delegate will no longer matter. Applications remember when a user has resized the window and will use the information stored in the UserDefaul... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/56857782', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1084875/']} | jdg_273250 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 26249049 |
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 a project that takes in criteria supplied by a user, and compares it to an already created list of object containing similar criteria. Currently, I'm trying to... | The parallel operator proved to be a problem for almost all use cases and does not do what most expect from it, so it was removed in the 1.0.0.rc.4 release: https://github.com/ReactiveX/RxJava/pull/1716 A good example of how to do this type of behavior and get parallel execution can be seen here . In your example code ... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/26249049', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4107705/']} | jdg_298643 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 52361513 |
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 div called booking-list ,which i am using to display the booking timings.Here on mouse hover the background-color of the div is changing as shown in below image. ... | Ok so this is pretty easy to do with ngClass.You make a highlight class in your css.What this will do is it will check if the condition is true and apply the css. Then you do in the ngFor: *ngFor="let item of item; let i = index;" (click)="setRow(i)" [ngClass]="{'highlight': selectedIndex === i}" And then in your compo... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/52361513', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/8856403/']} | jdg_160009 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 15950 |
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 a directory called uploads . It contains a bunch of files, plus a few subdirectories which in turn contain files. Is there a way I can (in one step) do the follow... | This sounds like a job for find . Use -maxdepth to only return the current directory, not recursivly search inside subfolders Use -type f to only return files and not directories or device nodes or whatever else Use a combination if -not and -name to avoid the files with names you don't want It might come together like... | {} | {'log_upvote_score': 7, 'links': ['https://unix.stackexchange.com/questions/15950', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/5740/']} | jdg_308207 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 399 |
Below is a question asked on the forum skeptics.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
I've heard lots of people say things like "race doesn't exist" and "race has no biological meaning." On the other hand, I've heard lots of disagreements too, from sc... | These are quotes from Lynn B Jorde's & Stephen P Wooding's paper Genetic variation, classification and 'race' . Genetic variation is geographically structured , as expected from the partial isolation of human populations during much of their history. Because traditional concepts of race are in turn correlated with... | {} | {'log_upvote_score': 6, 'links': ['https://skeptics.stackexchange.com/questions/399', 'https://skeptics.stackexchange.com', 'https://skeptics.stackexchange.com/users/200/']} | jdg_246915 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 56571835 |
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 install Windows-Build-Tools for an Electron project, using NPM. However when I run npm install --global --production windows-build-tools , I get this error: Dow... | The Context Consumer uses a render prop, specifically a function as a child component, so it expects its immediate child to be a function (not a component). In your case, you can just move the div inside the function: <Consumer> {value => { console.log(value); return ( <div style={menuStyle}> <h1>Tes... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/56571835', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/7330316/']} | jdg_139183 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 608146 |
Below is a question asked on the forum serverfault.com. Provide a good and informational response to it like a helpful human would.
Question:
In many primers on ntpd, like this one , there's always a warning that ntpd will stop resetting the clock "[if] your clock is too far off." How far off is "too far off"? Also, ... | First off, the default max difference is 1000s as others have mentioned. As @kyle stated you can use the -g flag to ignore this ONE time only to initially set your clock. After that you really shouldn't see your clock drifting by 1000s between updates even under highload, and if you do you really need to replace the cl... | {} | {'log_upvote_score': 5, 'links': ['https://serverfault.com/questions/608146', 'https://serverfault.com', 'https://serverfault.com/users/-1/']} | jdg_262055 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 707587 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Given a domain, is it possible for an attacker to discover one or many of the pages/resources that exist under that domain? And what could an attacker do/use to discover res... | The list on this is pretty long; there are a lot of techniques that can be used to do this; note that some of these are highly illegal: See what Google, archive.org, and other web crawlers have indexed for the site. Crawl through public documents on the site (including PDF, JavaScript, and Word documents) looking for p... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/707587', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/33226/']} | jdg_356057 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 40987580 |
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 previously using angular from a CDN, as follows. <script src="//code.angularjs.org/1.4.0/angular.js"></script> Loading the app index from node as follows. app.use(funct... | Have a Spring Rest controller SseController.java import org.springframework.web.bind.annotation.RequestMapping;import org.springframework.web.bind.annotation.RequestMethod;import org.springframework.web.bind.annotation.RestController;import org.springframework.web.servlet.mvc.method.annotation.SseEmitter;import java.io... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/40987580', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3534132/']} | jdg_376877 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 357536 |
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:
Since the rotation of the earth makes it more flat,due to the centrifugal forces, is it not possible for the force to completely flatten out earth into a plane ?
Now... | No, because the Earth is currently (approximately) in a hydrostatic equilibrium. There would be tendency for it to flatten if the rotation speed became faster, but since exactly the opposite is happening, the Earth would likely become (even) more spherical in the future. | {} | {'log_upvote_score': 4, 'links': ['https://physics.stackexchange.com/questions/357536', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/155230/']} | jdg_359689 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 158144 |
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'm going to ask/explain this as best I can; I'm sure I have some fundamentals wrong here. Spaghettification is a phenomenon which occurs only in stellar-mass black h... | I suspect that what has confused you is the difference between remaining a fixed distance from the black hole and falling freely into it. Let me attempt an analogy to illustrate what I mean. Suppose you are carrying a large and heavy backpack. You can feel the gravitational force of the backpack weighing you down. Howe... | {} | {'log_upvote_score': 5, 'links': ['https://physics.stackexchange.com/questions/158144', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/45874/']} | jdg_140469 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 68718097 |
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 C standard specifies: A pointer to void shall have the same representation and alignmentrequirements as a pointer to a character type. Similarly, pointersto qualified or ... | The answer is very simple: struct and union types can be declared as opaque types, ie: without an actual definition of the struct or union details. If the representation of pointers was different depending on the structures' details, how would the compiler determine what representation to use for opaque pointers appear... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/68718097', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3791842/']} | jdg_168475 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 44044974 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
On one blog I've read that: The ngOnInit lifecycle hook is a guarantee that your bindings are readily available. Is it true also with parameters passed using async pipe? For... | The short answer is no, the component instantiation won't be delayed and you will not get a resolved value in onInit if the observable hasn't been resolved before the first change detection cycle. Compare the following: // the value will be available in onInit obs = Observable.from([33]); // the value will not be ava... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/44044974', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3160531/']} | jdg_208953 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 17384289 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Very new to working with rails. I have implemented a basic login system using Devise. I am trying to add a couple of new fields (bio:string, name:string) into the sign_up pag... | The accepted solution is good enough, but I see two problems: 1) All the controllers will check if the current controller is the devise controller ( if: :devise_controller? ) and 2) We need to write all the acceptable parameters in the method ( ...for(:sign_up) {|u| u.permit(:bio, :name)} ), even the :email , :password... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/17384289', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2449814/']} | jdg_237596 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 26664856 |
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 changing the font size using things like: terminal { font-size: 2em; } but that just messes up the jquery terminal display. It isn't clear that it's been built to ... | No, this is definitely not Pythonic. Many of the decision made along the way have been specifically to discourage this kind of coding. The right way to write this is the obvious way: if verbose: print(stuff) Or, if computing stuff in itself isn't expensive/dangerous/irrevocable, just wrap print in a function that ch... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/26664856', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4200515/']} | jdg_231776 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 37655920 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Thanks in advance for looking at this. I have prepared a data warehouse and am populating a customer table with customer information from 2 systems. Customers from one system... | I managed to get this working by subscribing to changes on the router, checking that the route had actually changed (I was getting multiple events on some routes at times) and then sending the new path to Google. app.component.ts import { ... } from '...';// Declare ga function as ambientdeclare var ga:Function;@Compon... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/37655920', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5748138/']} | jdg_360190 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 56837 |
Below is a question asked on the forum biology.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
For a homework assignment I received the following question: Which statement best explains the evolution of fins in whales and fish? a. The common ancestor of whales ... | Short answer d) is definitely correct. Background The crucial element is that whales returned from land to the sea and re-evolved fins. a) is incorrect, as the common ancestor may not have had fins. In fact, it is thought it was a sea squirt , a sedentary species without fins, that was the most recent ancestor of fish.... | {} | {'log_upvote_score': 4, 'links': ['https://biology.stackexchange.com/questions/56837', 'https://biology.stackexchange.com', 'https://biology.stackexchange.com/users/4503/']} | jdg_238215 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 203936 |
Below is a question asked on the forum softwareengineering.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
I have VB.Net project, with a class with a couple of abstract (mustoverride) properties, that I am thinking about moving into an interface. My question, i... | Common guidance in .NET land, in most cases, is to have every class and interface in their own file. With a 1:1 correspondance between files and classes, navigation becomes easier. This argues against option #1. Regarding the choice between #2 and #3, I would argue for the former, with some caveats. I don't think you... | {} | {'log_upvote_score': 5, 'links': ['https://softwareengineering.stackexchange.com/questions/203936', 'https://softwareengineering.stackexchange.com', 'https://softwareengineering.stackexchange.com/users/26494/']} | jdg_335018 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 349548 |
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 $$\displaystyle \frac{1}{2x}+\frac{1}{2}\left(\frac{1}{2x}+ \frac{1}{2}\left(\frac{1}{2x} +\cdots\right) \right) = y$$ then what is $x$? I was thinking of expanding t... | There is an obvious symmetry to this problem. If infinite sum converges then notice that $$\frac{1}{2x} + \frac{1}{2}\left(y\right) = y$$ Rearranging and solving gives $\frac{1}{x}=y$ and so $x=\frac{1}{y}$. | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/349548', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/37174/']} | jdg_336933 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3286036 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
This is how we defined the domain $D(A)$ and the operator $A$ of a semigroup: Let $(P_t)_{t>0}$ be a semigroup of linear contractions on $L$ . Let $$D(A) := \left\{ f\in... | For a structural, natural deduction presentation, the rules for $\top$ just contain $$\dfrac{}{\Sigma\vdash\top}\top\mathrm{I}$$ and that's it. There is no elimination rule. One way to see why this makes sense is that dually we want an elimination rule for $\bot$ but we certainly don't want an introduction rule. Anothe... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/3286036', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/686704/']} | jdg_175379 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 40156906 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Suppose my build.gradle file defines different values for the same variable that is defined in BuildConfig : android { def INTEGER= "integer" def VARIABLE = "variable" ... | I found a way to do this here Create another buildType (whose name must not start with: test ) and pass it's name to property: android { testBuildType "staging" def INTEGER= "integer" def VARIABLE = "variable" buildTypes { debug { buildConfigField BOOLEAN, VARIABLE, "2" } sta... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/40156906', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/6507689/']} | jdg_228809 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2124113 |
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:
Do you have any idea to prove the following identity via a combinatorial (or algebraic) method? $\sum_{n=r}^{n=\infty} {n \choose r}^{-1} = \frac{r}{r-1}$ This is Exerci... | This is basically a generalization of the approach from this answer :\begin{align*}\sum_{n=r}^\infty \frac1{\binom nr} &= r! \sum_{n=r}^\infty \frac1{n(n-1)\cdots(n-r+1)}\\&= \frac{r!}{r-1} \sum_{n=r}^\infty \frac{n-(n-r+1)}{n(n-1)\cdots(n-r+1)}\\&= \frac{r!}{r-1} \sum_{n=r}^\infty \left(\frac1{(n-1)\cdots(n-r+1)} - \f... | {} | {'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/2124113', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/76893/']} | jdg_79651 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 14952295 |
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 redirect the output of a command to a variable with pipes? I haven't tried much as I haven't been able to think of anything to try, but I have tried one method (with ... | Your way can't work for two reasons. You need to use set /p text= for setting the variable with user input . The other problem is the pipe. A pipe starts two asynchronous cmd.exe instances and after finishing the job both instances are closed. That's the cause why it seems that the variables are not set, but a small ex... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/14952295', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2045818/']} | jdg_360073 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 63902 |
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'm sure you all are familiar with Theorem 5.3 from Sipser's TOC book: S = "On input (M,w) where M is a TM and w is a string:1. Construct the code of TM M2 as follows:M2 = "On... | First of all, the undecidability of REGULAR_TM follows immediately from Rice's theorem. For a direct proof, Sipser gives a reduction from the language A_TM. He constructs a decider R for A_TM out of a decider for REGULAR_TM, as follows. R inputs the pair , where M is a TM and w is a string.It constructs the TM M2, whic... | {} | {'log_upvote_score': 4, 'links': ['https://mathoverflow.net/questions/63902', 'https://mathoverflow.net', 'https://mathoverflow.net/users/14878/']} | jdg_195923 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 411822 |
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 Rudin Thm.3.20, along the proof of (d), there is an inequality that says for $n > 2k$ $${n\choose {k}}p^k \ge \frac{n^k}{2^kk!}p^k $$ I simply don't get this, especia... | \begin{align}\binom{n}{k} & = \frac{(n)\ldots(n-k+1)}{k!} \\& = \frac{n^k}{k!} \left(\frac{n}{n}\right) \ldots \left(\frac{n-k+1}{n} \right) \\& \geq \frac{n^k}{k!} \left(\frac{n-k+1}{n} \right)^k \\& \geq \frac{n^k}{k!} \left(\frac{n - n/2 +1}{n} \right)^k \\& \geq \frac{n^k}{k!} \frac{1}{2^k}\end{align} | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/411822', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/70125/']} | jdg_77401 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 4568426 |
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 the following integral on hand $$I_n=\int_{0}^\infty\frac1x\left[1-\left(\frac{x-1}{x+1}\right)^n\left(\frac{x-i}{x+i}\right)^{-n}\right]\ \mathrm dx$$ I am tryin... | The integral is real and by means of the substitution $t=\frac{1}{x}$ can be presented in the form $$I(n)=\int_0^\infty\frac{dx}{x}\bigg(1-(-1)^n\Big(\frac{x-1}{x+1}\Big)^n\cos(2n\arctan x)\bigg)$$ The integral converges for both even and odd $n$ ; for the convenience we will consider the first case (even $n$ ): $$I(n)... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/4568426', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/1088726/']} | jdg_355088 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 30303351 |
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'd like to have a table with headers down the left hand side, the headers should be as narrow as possible, and the space for the values should take up the rest of the width ... | Remove the table width , from th remove the width , the white-space , and the word-break . Add to the th word-wrap: word-break I also suggest you to set min-width: 150px or any value you want. Also add this td { width: 100%;} . Here is the jsFiddle th { text-align: right; max-width: 300px; min-width: 150px; ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/30303351', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/119271/']} | jdg_296692 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 476334 |
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 racked my brain through my comp-arch class and reread wiki’s article on hardware registers (they’re flip-flops, I get that), but one year later and I still don’... | I still don’t understand what a register physically is ... Where on a processor is it? What do they look like? How big are they? Physically it is made from the same structures that make up all the other logic in the processor. Depending on the implementation that could be transistors created on a silicon wafer, or dis... | {} | {'log_upvote_score': 6, 'links': ['https://electronics.stackexchange.com/questions/476334', 'https://electronics.stackexchange.com', 'https://electronics.stackexchange.com/users/229974/']} | jdg_159234 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 29811433 |
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 add custom button on top of post type page like this image Is there any filter or action I can use to add custom button there? Thanks
Now provide the response... | I found a way to get it done but I am not very happy with this procedure. Please add your answer if you find better way. Mean while, this might be of help. add_action('admin_head-edit.php','addCustomImportButton'); I only need this on edit page, so I am using admin_head-edit.php action, but you can use admin_head or so... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/29811433', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1560435/']} | jdg_86381 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 70382084 |
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 implementing a graphql solution using python, graphene and django and I'm getting the following import error: Result: Failure Exception: ImportError: cannot import name '... | in django 4.0 we dont have force_text https://docs.djangoproject.com/en/4.0/ref/utils/#module-django.utils.encoding instead change force_text to force_str linux: YOUR_VENV/lib/PYTHON_VERSION/site-packages/graphene_django/utils/utils.py windows: YOUR_VENV/lib/site-packages/graphene_django/utils/utils.py from django.util... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/70382084', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3139195/']} | jdg_334419 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1141162 |
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 need to construct an automaton that recognizes the following language of strings over the alphabet $\{a,b\}$:The set of all strings over alphabet $\{a,b\}$ with the su... | Without integrals. If $n\ge4$$$\sum_{k=n}^{n^2}\frac1k>\sum_{k=n}^{2n-1}\frac1k+\sum_{k=2n}^{3n-1}\frac1k+\sum_{k=3n}^{4n-1}\frac1k>n\,\frac{1}{2\,n}+n\,\frac{1}{3\,n}+n\,\frac{1}{4\,n}=\frac12+\frac13+\frac14=\frac{14}{12}.$$ | {} | {'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/1141162', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/177703/']} | jdg_378318 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 9363072 |
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 set a Fragment 's Id so that I can use getSupportFragmentManager().findFragmentById(R.id.--) ?
Now provide the response and nothing else.
| You can't set a fragment's ID programmatically . There is however, a String tag that you can set inside the FragmentTransaction which can be used to uniquely identify a Fragment. As Aleksey pointed out, you can pass an ID to FragmentTransaction 's add(int, Fragment) method. However, this does not specify the ID for a F... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/9363072', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1146696/']} | jdg_130960 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3056118 |
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 found myself running back through some old 3.5 framework legacy code, and found some points where there are a whole bunch of lists and dictionaries that must be updated ... | The major point here is that List<T>.Sort() does the sorting in place. If your list is exposed to external code, it will always represent the same object to this code. This is important if the list is kept in a field by code outside of the container class. If you're sorting with OrderBy() , you'll get a new enumeration... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/3056118', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/274402/']} | jdg_293088 | PrimeIntellect/stackexchange-question-answering |
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