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
41680
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I am having problems understanding the definition of a "structure" in universal algebra. In my course in was introduced in the following way: "A structure $S$ consists o...
temo: The idea of symbols is easy to formalize, though whichever route you follow, the formalization may look a bit awkward while you get used to it. One way is as follows: A set of symbols consists of 3 disjoint sets $A,B,C$. We call the elements of $A$ "constant symbols". We call the elements of $B$ "function symbols...
{}
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jdg_249891
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2239045
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: EDIT: Removed the files from the server http://www.jdxsolutions.com/newsite/index.html http://www.jdxsolutions.com/newsite/default.css This is a layout I've been using to try...
The short answer: It's complicated. To really understand all the factors that affect CSS 100% heights (and widths) you'll need to know about terms such as: the view port, initial containing block, flow, overflow, inline formatting contexts, block formatting contexts, the W3C box model, the IE box model and Quirks Mode...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/2239045', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/197229/']}
jdg_273878
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4566769
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 function called runquery that makes calls to a database and then yields the rows, one by one. I wrote a memoize decorator (or more accurately, I just stole one from ...
I realise this is somewhat of an old question, but for those who want a full solution: here's one, based on jsbueno's suggestion: from itertools import teefrom types import GeneratorTypeTee = tee([], 1)[0].__class__def memoized(f): cache={} def ret(*args): if args not in cache: cache[args]=f(*ar...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/4566769', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/383270/']}
jdg_370335
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
19503647
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Besides using match , is there an Option-like way to getOrElse the actual content of the Right or Left value? scala> val x: Either[String,Int] = Right(5)scala> val a: String ...
I don't particularly like Either and as a result I'm not terribly familiar with it, but I believe you're looking for projections: either.left.getOrElse or either.right.getOrElse . Note that projections can be used in for-comprehensions as well. This is an example straight from the documentation: def interactWithDB(x: Q...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/19503647', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/409976/']}
jdg_166445
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
7060557
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 been following this code snippet from Ray Wenderlich's tutorials ( http://codeviewer.org/view/code:1d8b ). I'm trying to do almost the same thing, except I'm using a spr...
You have to have the SQL update query in a PHP file and execute that PHP script via AJAX. For example: In PHP: $page_id = mysql_real_escape_string(html_entities($_POST['page_id']));$rating = mysql_real_escape_string(html_entities($_POST['rating']));mysql_query(" UPDATE ratings(vote) VALUES ('$rating') WHERE id = '$page...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/7060557', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/497906/']}
jdg_222682
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
138502
Below is a question asked on the forum cs.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I'm currently struggling to come up with a proof that the following language is irregular: $$L_2 := \{w_1aaw_2 \in \Sigma^* \mid w_1, w_2\in\Sigma^* \land |w_1| \ne |w_2|\...
For $i \ge 0$ define $w_i = b^i aa$ .For any $i,j \ge 0$ with $i \neq j$ you have that $b^i$ is a distinguishing extension for $w_i$ and $w_j$ . Indeed, $w_i b^i \not\in L_2$ but $w_jb^i \in L_2$ . Then the number of equivalence classes of the set $\{ w_i \mid i \ge 0\}$ with respect to the equivalence relation "having...
{}
{'log_upvote_score': 4, 'links': ['https://cs.stackexchange.com/questions/138502', 'https://cs.stackexchange.com', 'https://cs.stackexchange.com/users/134879/']}
jdg_174405
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
27293066
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 test a Laravel API endpoint and want to call it in code. $request = Request::create( $path, $method ); $response = Route::dispatch( $request ); This snippet ...
As you mentioned in the comments, you could use $this->call() but you can actually do it with your current code too. If you take a look at the signature of the Request::create() function you can see that it takes $parameters as third argument: public static function create($uri, $method = 'GET', $parameters = array(), ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/27293066', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/821275/']}
jdg_198932
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1180397
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have an Apache Tomcat 6.x server running with a self-signed SSL certificate. I want the client to present their own certificate to the server so I can authenticate them ba...
Finally got the solution to my problem, so I'll post the results here if anyone else gets stuck. Thanks to Michael Martin of Michael's Software Thoughts & Ramblings I discovered that: keytool by default uses the DSA algorithm when generating the self-signed cert. Earlier versions of Firefox accepted these keys witho...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/1180397', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/144599/']}
jdg_247529
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
34334
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: So I have 4 GB RAM + 4GB swap. I want to create a user with limited ram and swap: 3 GB RAM and 1 GB swap. Is such thing possible? Is it possible to start applications wi...
ulimit is made for this.You can setup defaults for ulimit on a per user or a per group basis in /etc/security/limits.conf ulimit -v KBYTES sets max virtual memory size. I don't think you can give a max amount of swap. It's just a limit on the amount of virtual memory the user can use. So you limits.conf would have th...
{}
{'log_upvote_score': 7, 'links': ['https://unix.stackexchange.com/questions/34334', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/12631/']}
jdg_318615
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
554465
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: There's a nice answer to this question: Why is the scalar product of two four-vectors Lorentz-invariant? - that explains that a Lorentz transformation is one under wh...
The observation of Z-boson decay doesn't imply active neutrinos to be heavy. The cited white paper says The observed Z-boson decay width implies that any additional active neutrinos are quite heavy ... The decay width is related to the number of different ways the Z boson can decay, and also to the strengths of the int...
{}
{'log_upvote_score': 4, 'links': ['https://physics.stackexchange.com/questions/554465', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/160162/']}
jdg_122684
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2847203
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: The full question reads: Show that the system with $\dot{x} = x-y-(x^2 + \frac{3}{2} y^2)x$ and $\dot{y} = x+y-(x^2 + \frac{1}{2} y^2)y$ has a limit cycle. I wanted to c...
Another approach is to proceed using the Poincare-Bendixon theorem.Our aim then is to show that the system contains only one unstable equilibrium point, and that every trajectory of the system remains in a closed bounded subset. From your original problem, let $$ f_1(x,y) = x - y - x^3 - \frac{3}{2}y^2{x} \nonumber \...
{}
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jdg_98508
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
543538
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: Consider the generative model $$\begin{align}\theta &\sim \pi(\cdot \mid \phi),\\y \mid \theta &\sim f(\cdot \mid \theta).\end{align}$$ Compute the posterior distributi...
For a given fixed parameter $\theta$ , the coverage of a Bayesian credible interval can be greater or lower than the nominal value. For example, coverage may be greater than nominal if the prior is informative and is centred on the 'true' value of the parameter - see this question and its answers. Conversely, the cover...
{}
{'log_upvote_score': 4, 'links': ['https://stats.stackexchange.com/questions/543538', 'https://stats.stackexchange.com', 'https://stats.stackexchange.com/users/97431/']}
jdg_76761
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2440692
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 conceptual mathematics by Lawvere and Schanuel, it says: There are many more categories than just those given by abstract types of structure; however, those can be co...
No, it's not the case. Let $C$ be a category of "structures" (whatever it means). To it is naturally associated a so-called forgetful functor that strips away all the structure and leaves only the underlying set. This is thus a functor $U: C\to \text{Set}$. This functor has the remarkable property that it is faithful: ...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/2440692', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/-1/']}
jdg_252159
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
24725051
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 terminal that uses STDIN 3 ( /proc/xxxx/fd/0 -> /dev/pts/3 ) So if (in another terminal) I do: echo 'do_something_command' > /dev/pts/3 The command is shown in my fi...
I completely get what you are asking. You can achieve this by writing and executing a small piece of code in C yourself. This should give you some idea. #include <stdio.h>#include <stdlib.h>#include <fcntl.h>#include <sys/stat.h>#include <sys/ioctl.h>#include <string.h>#include <unistd.h>void print_help(char *prog_name...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/24725051', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2397613/']}
jdg_162096
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
5796718
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 encode and decode HTML entities using JavaScript or JQuery? var varTitle = "Chris&apos; corner"; I want it to be: var varTitle = "Chris' corner"; Now provide the re...
You could try something like: var Title = $('<textarea />').html("Chris&apos; corner").text();console.log(Title); <script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script> JS Fiddle . A more interactive version: $('form').submit(function() { var theString = $('#string').val(); var varTi...
{}
{'log_upvote_score': 9, 'links': ['https://Stackoverflow.com/questions/5796718', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/699545/']}
jdg_231765
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2945667
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Running the following C# code through NUnit yields Test.ControllerTest.TestSanity: Expected: `<System.DivideByZeroException>` But was: null So either no DivideByZeroExceptio...
No exception is thrown. 1 / 0.0 will just give you double.PositiveInfinity. This is what the IEEE 754 standard specifies, which C# (and basically every other system) follows. If you want an exception in floating point division code, check for zero explicitly, and throw it yourself. If you just want to see what DivideBy...
{}
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jdg_177107
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
21292142
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Using this Gist I was able to successfully decrypt AES256 in Node.js 0.8.7. Then when I upgraded to Node.js 0.10.24, I now see this error: TypeError: error:0606506D:digital ...
Ok, so there was a change to Crypto in the switch from 0.8 to 0.10 Crypto methods return Buffer objects by default, rather than binary-encoded strings This means the above code needs to specify encodings. These four lines: decoded = decipher.update(encryptdata);decoded += decipher.final();encryptdata = encipher.update(...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/21292142', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1951683/']}
jdg_301886
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
40080466
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 load or resources in my header with require.js. How can i do this? Here is my current code for my controller and index. I am new to angularjs and will appreciate yo...
There are a couple options: Generate a SQL script using dotnet ef migrations script and run it on your production database. Call dbContext.Database.Migrate() at runtime during application startup (but be careful when running multiple apps/database clients) Also, in the next release (1.0.0-preview3) of Microsoft.EntityF...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/40080466', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/7024683/']}
jdg_179338
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2836646
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Let's say I have a serializable class AppMessage . I would like to transmit it as byte[] over sockets to another machine where it is rebuilt from the bytes received. How coul...
Prepare the byte array to send: ByteArrayOutputStream bos = new ByteArrayOutputStream();ObjectOutputStream out = null;try { out = new ObjectOutputStream(bos); out.writeObject(yourObject); out.flush(); byte[] yourBytes = bos.toByteArray(); ...} finally { try { bos.close(); } catch (IOException ex) { // i...
{}
{'log_upvote_score': 10, 'links': ['https://Stackoverflow.com/questions/2836646', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/324249/']}
jdg_183536
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1056820
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 meaning has <E> on the code Collection<E> ? Now provide the response and nothing else.
It's the use of generics. Check this intro out. And then don't forget to read this tutorial . An excerpt follows (which compares the use of a cast versus the use of generics): When you see the code <Type>, read it as “of Type”; the declaration above reads as “Collection of String c.” The code using generics is clear...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/1056820', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/124339/']}
jdg_218811
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
7485011
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: This is a question I have come across and failed Suppose say string str = "wordcounter"; One can easily find the Length using str.Length However, is it possible in C# to get ...
you could write a loop and increment a counter inside this loop: int numberOfLetters = 0;foreach (var c in str){ numberOfLetters++;}// at this stage numberOfLetters will contain the number of letters // that the string contains there is also another way: int numberOfLetters = str.ToCharArray().Length; there is also ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/7485011', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/487242/']}
jdg_158032
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
13017632
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: here's my code. it works, if you want to loop through all the rows. now, QA told me I have to make it to support filter. so, when user use filter, only a subset of the rows...
For future reference and for those who are interested, I found the the solution at: http://colinmackay.scot/2012/07/23/kendo-ui-paging-and-accessing-the-filtered-results-in-javascript/ It works by first getting hold of the grid's data source, getting the filter and the data, creating a new query with the data and apply...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/13017632', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/817314/']}
jdg_205101
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
275451
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: Let $X$ be a smooth complex projective variety. Let $M_{Higgs}(X, P)$ be the coarse moduli which universally corepresents the functor: $$M^{\#}_{Higgs}(X, P): Sch/\mathbb{C}\l...
You may know this already, but I'm not sure if you'll get many other answers. A nice result of Brunebarbe, Klingler and Totaro [Symmetric differentials and the fundamental group, Duke 2013] is that if the fundamental group of a smooth complex projective variety $X$ has a finite dimensional representation with infinite ...
{}
{'log_upvote_score': 4, 'links': ['https://mathoverflow.net/questions/275451', 'https://mathoverflow.net', 'https://mathoverflow.net/users/63996/']}
jdg_365745
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
274818
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 $R$ be a commutative (but not necessarily Noetherian) ring with unity. Let $M$ be an $R$-module. Suppose that, for all $\mathfrak p \in\text {Spec}(R),$ $\text{pd}...
Let $R$ be a ring with $\operatorname{gldim}(R)=\infty$. Then there exist $R$-modules of arbitrary large projective dimension. By taking their direct sum we can find an $R$-module $M$ of infinite projective dimension. Now, if the global dimension of all localizations of $R$ is finite, that is, $R_{\mathfrak p}$ is a re...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/274818', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/-1/']}
jdg_203196
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
49733027
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 know how to read the command line arguments, but I am having difficulties reading the command output from a pipe. Connect a program (A) that outputs data to my Rust program...
Use BufRead::lines on a locked handle to standard input : use std::io::{self, BufRead};fn main() { let stdin = io::stdin(); for line in stdin.lock().lines() { let line = line.expect("Could not read line from standard in"); println!("{}", line); }} If you wanted to reuse the allocation of the Stri...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/49733027', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3014263/']}
jdg_373619
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
414786
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: Security researchers have published on the Project Zero a new vulnerability called Spectre and Meltdown allowing a program to steal information from a memory of others p...
Alan Cox shared a link from AMD's blog: https://www.amd.com/en/corporate/speculative-execution Variant One: Bounds Check Bypass Resolved by software / OS updates to be made available by system vendors and manufacturers. Negligible performance impact expected. Variant Two: Branch Target Injection Differences in AMD arc...
{}
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jdg_174672
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
60629036
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 able to get this type of text in a .txt file type. How would I convert these into rows and columns? I see the pattern is Header is the first quotation, Second quotes is ...
I was having this same issue with a bunch of react-hooks/exhaustive-deps lint warnings ended up using the json formatter and a script to insert the eslint disable comment. I ran yarn lint . -f json -o warnings.json to get the json list of lints and then this const json = require('./warnings.json');const fs = require('f...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/60629036', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/7699204/']}
jdg_306498
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
51499445
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 best describe a generic response type which includes the real data type in OpenAPI 3. Simplified example: ApiResponse: data: object error: string But the /users e...
I search for generic types much time, but there is no way to define a generic type in OpenAPI3. The simplest way is using allOf and $ref at the same time. Suppose there is a list schema as follow: List: type: object properties: page_number: type: integer page_count: type: integer And t...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/51499445', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/638488/']}
jdg_97909
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
130580
Below is a question asked on the forum electronics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I've got a 12V 2.4Ah lead acid battery which I plan to connect a water pump to. I've looked at various pumps, but the one I'm most interested in draws 2.2A. I'm n...
An easy rule-of-thumb for determining the slow/intermediate/fast rates for charging/discharging a rechargeable chemical battery, mostly independent of the actual manufacturing technology: lead acid, NiCd, NiMH, Li... We will call C (unitless) to the numerical value of the capacity of our battery , measured in Ah (Amper...
{}
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jdg_367617
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2801011
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Create Table A (ID varchar(8),Primary Key(ID));Create Table B (ID varchar(8),A_ID varchar(8),Primary Key(ID),Foreign Key(A_ID) References A(ID)); Given that I have created tw...
Is it a necessary or a good idea to have a reciprocal @OneToMany for the @ManyToOne? No, it's not mandatory at all, it's a pure design decision. The whole question is... Do you want this (i.e. an uni-directional association): Or this (i.e. a bi-directional association): If you don't need to get Bs from A, then you can...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/2801011', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/194982/']}
jdg_295989
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
39371577
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 column with data that has a description and a ID code (bold Char) with it: BBA-34.009876 The harmful impact of the typical American diet. The number of Americans tha...
Currently, the documentation of the short-hand syntax for the --message-attributes option is incorrect and the short-hand syntax does not work. Instead, you can use the JSON file (as you mentioned). You can also use the inline JSON: aws sqs send-message --queue-url https://sqs.us-east-1.amazonaws.com/0000000000/aa_qu...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/39371577', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/6654856/']}
jdg_154068
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1072524
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: Suppose $X$ is an integral scheme. I would like to show that the restriction maps$res_{U,V} : O_X(U) \rightarrow O_X(V)$ is an inclusion so long as $V$ is not empty. I w...
Let $X$ be an integral scheme. Let $\xi$ be its generic point. If we show that the canonical map $\mathcal O_X(U) \to \mathcal O_\xi$ is injective, we're done. Since $U$ can be covered by affine open subsets, we can assume that $U = \operatorname{Spec} A$ is affine. Now the map $\mathcal O_X(U) \to \mathcal O_\xi$ corr...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/1072524', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/201886/']}
jdg_124358
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
144826
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: Sometimes we assume that regressors are fixed, i.e. they are non-stochastic. I think that means all our predictors, parameter estimates etc. are unconditional then, rig...
Here I am on thin ice but let me try: I have a feeling (please comment!) that a main difference between statistics and econometrics is that in statistics we tend to consider the regressors as fixed, hence the terminology design matrix which obviously comes from design of experiments, where the supposition is that we ...
{}
{'log_upvote_score': 5, 'links': ['https://stats.stackexchange.com/questions/144826', 'https://stats.stackexchange.com', 'https://stats.stackexchange.com/users/64735/']}
jdg_170942
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1174702
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I am using Xunit and NMock on .NET platform.I am testing a presentation model where a method is asynchronous.The method creates an async task and executes it so the method re...
Just thought you might want an update on this since the #1 answer is actually recommending an older pattern to solve this problem. In .net 4.5 + xUnit 1.9 or higher you can simply return a Task and optionally use the async keyword from your test to have xunit wait for the test to complete asynchronously. See this artic...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/1174702', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/25856/']}
jdg_147412
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
6329
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: "Heat rises" or "warm air rises" is a widely used phrase (and widely accepted phenomenon). Does hot air really rise? Or is it simply displaced by colder (denser) air ...
The mechanism responsible for the rising of hot air is flotation: Hot air is less dense than cold air and hence air pressure will exert an upwards force, in the same way air rises in water.Now if cold air was magically unaffected by gravity, then it would not be able to exert pressure on the hot air and thus it would n...
{}
{'log_upvote_score': 6, 'links': ['https://physics.stackexchange.com/questions/6329', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/2375/']}
jdg_169438
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
12232166
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Am running MongoDB 2.2 on Ubuntu and if I run: sudo mongod I get an error that it can't find /data/db, which is not where the database is. In mongod.conf the database path is...
OK, this all comes down to permissions, but let's take it step by step. When you run sudo mongod it does not load a config file at all, it literally starts with the compiled in defaults - port 27017 , database path of /data/db etc. - that is why you got the error about not being able to find that folder. The "Ubuntu ...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/12232166', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/901379/']}
jdg_203129
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
29148544
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: My initial problem was to convert a tuple of different types to a string. In Python, this would be something like: >> a = ( 1.3, 1, 'c' )>> b = map( lambda x: str(x), a )['...
Here's an overly-clever macro solution: trait JoinTuple { fn join_tuple(&self, sep: &str) -> String;}macro_rules! tuple_impls { () => {}; ( ($idx:tt => $typ:ident), $( ($nidx:tt => $ntyp:ident), )* ) => { impl<$typ, $( $ntyp ),*> JoinTuple for ($typ, $( $ntyp ),*) where $typ: ::std::fm...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/29148544', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4690345/']}
jdg_80604
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8416074
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Using Backbone.js, is it possible to make the router navigate to the page where it came from? I'd like to use that for the case where I change my URL when a popup appears, an...
You can solve this problem by extending Backbone.Router and storing all the routes during navigation. class MyRouter extends Backbone.Router constructor: (options) -> @on "all", @storeRoute @history = [] super options storeRoute: -> @history.push Backbone.history.fragment previous: -> if @history.leng...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/8416074', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/802232/']}
jdg_238542
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
18919477
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: My api endpoints are using asp.net mvc (4) web api controllers. Are there any events similiar to how mvc has OnActionExecuting? Also, how to I access the Request object to lo...
Since the filter Niko posted didn't work for me (I'm using the ApiController class), I implemented this filter: public class MyActionFilter : System.Web.Http.Filters.ActionFilterAttribute { public override void OnActionExecuting(HttpActionContext actionContext) { // pre processing }} Make sure you don't...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/18919477', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1361315/']}
jdg_258413
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
100408
Below is a question asked on the forum serverfault.com. Provide a good and informational response to it like a helpful human would. Question: I'm developing a website where users will be able to aggregate their RSS feeds and create custom pages. I want to give each user separate domain name like jonhdoe.com, xyz.org....
It's easy, if you just create DNS entries for each domain to point to the same server VIP/IP then the request will go there - how you then deal with these differing domain requests comes down to what web-server combo you're using and any router/load-balancer configs you choose to create but it all starts with getting D...
{}
{'log_upvote_score': 4, 'links': ['https://serverfault.com/questions/100408', 'https://serverfault.com', 'https://serverfault.com/users/10524/']}
jdg_277919
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
6528936
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 used to have a local hack of delayed_job in a Rails app, in vendor/plugins/delayed_job. It was installed as a one-time event and checked into git in the main app repo. No...
Assuming that you do not care about the current contents of vendor/plugins/delayed_job in your working tree (i.e. the content that will be checked out as a submodule is already a suitable replacement for the content in your working tree), the normal procedure for converting a directory into a submodule looks like this:...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/6528936', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/95078/']}
jdg_201624
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
31594281
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 using the following code to append strings string res = string.Empty;int ite = 100000;for(int i= 0; i < ite; i++){ res += "5";} It was taking a lot of time, so I lat...
You need to think about why string concatenation is slow. Strings are immutable, so when you do: someString+= "5"; You have to copy the entire contents of someString and to another string that is one larger and then copy in the 5 part. If you think about it, this gets slower and slower the longer the string gets. With ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/31594281', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3483786/']}
jdg_351664
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
5851497
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: In an abstract base class if we have some static fields then what happens to them ? Is their scope the classes which inherit from this base class or just the type from which ...
static members are entirely specific to the declaring class; subclasses do not get separate copies. The only exception here is generics; if an open generic type declares static fields, the field is specific to that exact combination of type arguments that make up the closed generic type; i.e. Foo<int> would have separa...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/5851497', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/313421/']}
jdg_373401
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
74433
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: I've been looking at some definitions of Grothendieck rings. However I've not found a good definition that I've understood. Any recommendations? I'm referring to the definiti...
I'll expand my comments into an answer. Since I'm not quite sure what parts bother you,I'll assume it's everything! The Grothendieck construction is actuallya family of related constructions, which is brilliant in its simplicity.Whenever, you have a collection of things (e.g. finite sets) that can splitinto parts, you ...
{}
{'log_upvote_score': 5, 'links': ['https://mathoverflow.net/questions/74433', 'https://mathoverflow.net', 'https://mathoverflow.net/users/17532/']}
jdg_198687
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
347344
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: Would like to start off by saying, I am asking this as a purely academic exercise; I am quite happy to just continue to use the repository pattern . I hav...
You've got value objects representing your business logic, containing business rules. Now you are adding a mechanism to persist them. Fair enough. How about you add a mechanism to read a database and construct them from it? Perhaps a static Load method taking IGetMyEntity instance as a parameter? While you are at it, m...
{}
{'log_upvote_score': 4, 'links': ['https://softwareengineering.stackexchange.com/questions/347344', 'https://softwareengineering.stackexchange.com', 'https://softwareengineering.stackexchange.com/users/173910/']}
jdg_376004
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1789597
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Today one person told to me that "Java EE programmers do not write to files" . Why can I not write to files from within a Java EE container (for example from JBoss)? What is ...
You should do everything within the Java EE container itself: you can have no certainty that you will have any consistent access to the filesystem. There are many reasons for this, the most obvious being that applications running within a container will have: no certainty that any subsequent invocation of an EJB would ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/1789597', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/167739/']}
jdg_241393
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2568476
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 the relation $\lim_{n\to \infty}\frac 1 {n^{k+1}}\sum_{i=1}^n i^{k}=\frac 1 {k+1}$ for any non negative integer k. Now provide the response and nothing else.
Expand using $\cos(a+b)$ formula$$\cos\Big(\frac{\pi}{4}+\alpha\Big)=\cos\Big(\frac{\pi}{4}\Big)\cos(\alpha)-\sin\Big(\frac{\pi}{4}\Big)\sin(\alpha),$$or equivalently$$\cos\Big(\frac{\pi}{4}+\alpha\Big)=\frac{\sqrt{2}}{2}\cos(\alpha)-\frac{\sqrt{2}}{2}\sin(\alpha)=\frac{\sqrt{2}}{2}\Big(\cos(\alpha)-\sin(\alpha)\Big).$...
{}
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jdg_210664
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
162766
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: Fluorescence is the property which is exhibited when electrons emit wavelength of light lower than the one they absorbed so does that mean we can make every molecul...
Keep in mind a few things that must happen for an absorption process to result in fluorescence: (1) the initial transition is to an excited electronic state that observes certain rules regarding the structure of the excited state (Franck-Condon principle). That requires that the light used to excite the molecule have a...
{}
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jdg_77457
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
19899935
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 had some code that I was editing to make it more understandable at a glance and I thought I should change all the char=="|" to char is "|" . I know that it looks like I'm d...
== will check if values on both the sides are equal, but is will check if both the variables are pointing to the same reference. So, they both are for entirely different purposes. For example, a = "aa"b = "aa"print a, b, id(a), id(b)print a == bprint a is b Output on my machine aa aa 140634964365520 140634964365520True...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/19899935', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1977946/']}
jdg_142628
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4904096
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: What is the difference between unit, functional, acceptance, and integration testing (and any other types of tests that I failed to mention)? Now provide the response and no...
Depending on where you look, you'll get slightly different answers. I've read about the subject a lot, and here's my distillation; again, these are slightly wooly and others may disagree. Unit Tests Tests the smallest unit of functionality, typically a method/function (e.g. given a class with a particular state, calli...
{}
{'log_upvote_score': 11, 'links': ['https://Stackoverflow.com/questions/4904096', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/48523/']}
jdg_113511
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
928
Below is a question asked on the forum quant.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I have a time series with monthly data from which I compute the expected shortfall empirically, following the classical definition which can be found, for example, in w...
If you are willing to hypothesize a normal distribution of returns for these purposes, then you scale by the square root. However, normal tails are fairly skinny, so a lot of people like to fit Student-t or Pareto distributions to the tails. In this case, you have to convolve 12 copies of the fitted distribution toge...
{}
{'log_upvote_score': 4, 'links': ['https://quant.stackexchange.com/questions/928', 'https://quant.stackexchange.com', 'https://quant.stackexchange.com/users/467/']}
jdg_192864
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1677779
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 know that this result is true for uniform convergence, but I'm struggling to find a counter example of such function. Now provide the response and nothing else.
This is false: for instance (classic example), take $f_n\colon[0,1]\to\mathbb{R}$ defined by $f_n(x) = x^n$. What is the pointwise limit $f$?
{}
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jdg_336412
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
33978539
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 traverse a graph in javascript. My job is to traverse and parse all the possible outcomes of the following graph. This is how I am storing the graph in a JS ob...
You could traverse your tree in a Depth First manner as follow: var traverse = function(tree, current) { //process current node here //visit children of current for (var cki in current.out) { var ck = current.out[cki]; var child = tree[ck]; traverse(tree, child); }}//call on root nodetr...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/33978539', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4599824/']}
jdg_213384
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
13430256
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Generic form: T(n) = aT(n/b) + f(n) So i must compare n^logb(a) with f(n) if n^logba > f(n) is case 1 and T(n)=Θ(n^logb(a)) if n^logba < f(n) is case 2 and T(n)=Θ((n^logb(a))...
Master Theorem for Solving Recurrences Recurrences occur in a divide and conquer strategy of solving complex problems. What does it solve? It solves recurrences of the form T(n) = aT(n/b) + f(n) . a should be greater than or equal to 1. This means that the problem is at least reduced to a smaller sub problem once. At l...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/13430256', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1424127/']}
jdg_145556
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
365658
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'm currently working for a company that uses VSTS for managing git code. Microsoft's "recommended" way of merging a branch is to do a "squash merge", me...
With Git, commits are immutable, and form a directed acyclic graph. Squashing does not combine commits. Instead, it records a new commit with the changes from multiple other commits. Rebasing is similar, but doesn't combine commits. Recording a new commit with the same changes as an existing commit is called history re...
{}
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jdg_184348
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
37990140
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have been trying to read the official docs and guides about how to send message from one device to another. I have saved registration token of both devices in the Real Time...
Firebase has two features to send messages to devices: the Notifications panel in your Firebase Console allows you to send notifications to specific devices, groups of users, or topics that users subscribed to. by calling Firebase Cloud Messaging API, you can send messages with whatever targeting strategy you prefer. C...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/37990140', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1079901/']}
jdg_148944
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4093788
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: In docs for various ORMs they always provide a way to create indexes, etc. They always mention to be sure to create the appropriate indexes for efficiency, as if that is inhe...
Think of an index very roughly like the index in the back of a book. It's a totally separate area from the content of the book, where if you are seeking some specific value, you can go to the index and look it up (indexes are ordered, so finding things there is much quicker than scanning every page of the book). The in...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/4093788', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/128463/']}
jdg_266426
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
49397777
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 consume the given API definition, But I am not able to find a function call that takes both headers and request body at documentation . Please suggest which functio...
RestTemplate template = new RestTemplate();CreateObjectInput payload = new CreateObjectInput();HttpHeaders headers = new HttpHeaders();headers.setAccept(Arrays.asList(MediaType.APPLICATION_JSON));headers.setContentType(MediaType.APPLICATION_JSON);HttpEntity<CreateObjectOutput> requestEntity = new HttpEntity<>(payl...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/49397777', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/927894/']}
jdg_236883
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
11073850
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 easy would it be to integrate some Symfony 2 components/bundles to the Magento framework? I am thinking in particular the twig templating engine, though the question will...
This method is correct and should be used: public synchronized double withDrawFromPrivateBalance(double a){ balance -= a; return balance;} It correctly restricts access to the account internal state to only one thread at a time. However your balance field is public (so not really internal), which is t...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/11073850', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/-1/']}
jdg_279165
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
24479
Below is a question asked on the forum scicomp.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Is it pointless to use gradient based optimization algorithms if you can only provide a numerical gradient? If not, why provide a numerical gradient in the first plac...
To complement Brian's excellent answer, let me give a bit of (editorial) background. Derivative-free optimization methods are defined as methods that only make use of function evaluations, and are basically all variations of "sample the admissible set more or less systematically and save the best function value" -- tha...
{}
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jdg_359581
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
54695976
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 show a rectangle in Qml and I want to change the rectangle's properties(width, length) from my python code. In fact, there is a socket connection in the python code...
There are several methods to modify a property of a QML element from python/C++, and each has its advantages and disadvantages. 1. Pulling References from QML Obtain the QML object through findChildren through another object. Modify or access the property with setProperty() or property() , respectively or with QQmlProp...
{}
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jdg_318900
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8417608
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 place a background in my activity, but the image quality is not the expected. The image has a simple gradient above blue stripes, and currently looks like this:...
First of all, make sure that your original image looks good so you're not just getting the problem from there. Then, in your onCreate() method, do: code1: getWindow().getDecorView().getBackground().setDither(true);getWindow().setFormat(PixelFormat.RGBA_8888); Deprecated: getWindow().addFlags(WindowManager.LayoutParams....
{}
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jdg_81871
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
14796620
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: This question is concerning joining two databases in Google spreadsheet using =QUERY function I have a table like so in range A1:C3 a d gb e hc f i I have another table c j m...
Short answer Google QUERY Language version 0.7 (2016) doesn't include a JOIN (LEFT JOIN) operator but this could be achieved by using an array formula which result could be used as input for the QUERY function or for other uses. Explanation Array formulas and the array handling features of Google Sheets make possible t...
{}
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jdg_75924
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3162389
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 the following, Can anyone please help me do it. Rank Cust_Type Cust_Name Revenue1 Top A 100002 Top B 90003 Top...
This is a bit tricky. You may want to use variables, such as in the following example: SELECT ( CASE cust_type WHEN @curType THEN @curRow := @curRow + 1 ELSE @curRow := 1 AND @curType := cust_type END ) + 1 AS rank, cust_type, cust_name, ...
{}
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jdg_121085
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4897408
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 add 1 to my JavaScript variable, but the following code doesn't give expected results: var val1 = document.getElementById('<%= rng1.ClientID %>');var val2 = val...
you can use the function parseInt() to transform the string stored in val1.value into a number: var val2 = parseInt(val1.value) + 1; Note that Number(val1.value) will also convert your value into a number. -edit- As yc suggest, is highly recommended to use parseInt(val1.value, 10) + 1; because if your string starts wit...
{}
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jdg_305514
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
164372
Below is a question asked on the forum stats.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I'm not quite sure what exactly VectorSource and VCorpus are in 'tm' package. The documentation is unclear on these, can anyone make me understand in simple terms? Now...
"Corpus" is a collection of text documents. VCorpus in tm refers to "Volatile" corpus which means that the corpus is stored in memory and would be destroyed when the R object containing it is destroyed. Contrast this with PCorpus or Permanent Corpus which are stored outside the memory in a db . In order to create a VC...
{}
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jdg_288124
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
41258601
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 calculate the average of two floating point numbers, but whatever the input, I am getting an integer returned. What should I do to make this work? public class Prog...
There're two problems with your code Evident one - Integer division - e.g. 1 / 2 == 0 not 0.5 since result must be integer Hidden one - Integer overflow - e.g. a + b can overflow int.MaxValue and you'll get negative result The most accurate implementation is public static float Average(int a, int b){ return 0.5f * a...
{}
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jdg_231847
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
395786
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: We have been using this result without proof in my class, but I don't know how to prove it. Could someone point me in the right direction? $$|1-e^{i\theta}|\le|\theta|$$...
Hint:$$\mathrm e^{\mathrm i\theta}-1=\int_0^\theta\mathrm i\mathrm e^{\mathrm ix}\mathrm dx,\qquad|\mathrm i\mathrm e^{\mathrm ix}|\leqslant1\ (x\in\mathbb R).$$
{}
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jdg_347378
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
7754896
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 upload CSV files through the activeadmin panel. on the index page from the resource "product" i want a button next to the "new product" button with "import csv file...
Continuing from Thomas Watsons great start to the answer which helped me get my bearings before figuring the rest of it out. The code blow allows not just CSV upload for the example Posts model but for any subsequent models thereafter. all you need to do is copy the action_item ands both collection_actions from the exa...
{}
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jdg_243095
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
30573517
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have an ASP.NET MVC website that makes use of WebAPI, SignalR. I wish for my server (the same server that hosts the website) to make HTTP requests to a WebAPI controller - ...
If you ONLY wanted to accept requests that originated from the same machine, you could check the IsLocal property of the request context MSDN . HttpRequest.Context.Request.IsLocal You could then build it into a custom authorize attribute and register it globally, enforcing the requirement on all of your Web API control...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/30573517', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/894792/']}
jdg_367577
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
13306670
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I am using Bootstrap from twitter. What I want is to make a prepended text, and input field and a button, but I want my input field have the max available width so that the r...
I was looking for something similar and this solution from https://gist.github.com/mattjorn/5020957 worked for me - add .input-block-level to your outer div, e.g., <div class="input-prepend input-append input-block-level"> and then extend the bootstrap CSS like this: .input-prepend.input-block-level { display: table; ...
{}
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jdg_299729
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1100140
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 don't really understand the difference between sets being equal and isomorphic. I know that two sets $A$ and $B$ are equal of $A \subseteq B$ and $B \subseteq A$. I ...
There seem to be two problems here. First, if $A$ and $B$ have the same elements (every element of $A$ is an element of $B$ and vice versa), then they are the same set , the strongest possible form of equivalence. And the identity function (which sends every $x\in A$ to itself) is certainly a bijection $A\to A$ and pre...
{}
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jdg_295553
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
43606082
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: With my code I get 3 messages all saying object initialization can be simplified and in my ever growing thirst for knowledge (and my OCD) I would like to "fix" my code so tha...
1st Before : TreeNode node = new TreeNode(drive.Substring(0, 1), driveImage, driveImage);node.Tag = drive; After: var node = new TreeNode(drive.Substring(0, 1), driveImage, driveImage) { Tag = drive}; 2nd Before : DirectoryInfo di = new DirectoryInfo(dir);TreeNode node = new TreeNode(di.Name, 0, 1); //this line Afte...
{}
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jdg_161903
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
44981143
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 testing ELK stack for nginx-access logs. It looks good except I have not found a way to search records in Kibana Discovery (v5.3.2) with a path that start with "/test/a" ...
You need to change the mapping of the path field to not be analyzed, otherwise the slashes will not be indexed. The mapping should be like this: "path": { "type": "string", "index": "not_analyzed", <--- change this}, Note that you need to delete your index and re-create it with the proper mapping in order for thi...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/44981143', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1261575/']}
jdg_250165
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
251103
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 asked here on Math Stack Exchange the following question. Let $R$ be a principal ideal ring. If $A$ is any $p \times q$ matrix over $R$ , then does there exist an invertible...
The answer to your initial question is yes, and Igor Rivin's comment is right and good. The result follows from the fact that a commutative PIR (Principal Ideal Ring) with identity is a Hermite ring in the sense of I. Kaplansky. Indeed, a Hermite ring possesses a trigonal reduction as required, cf. [1, Theorem 3.5]. Th...
{}
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jdg_288839
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
49397233
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 keep on getting error squiggles on std::string_view, but I am able to build just fine. Is there a way to tell intellisense or the C++ linter to use C++17? The specific erro...
This has become much easier now. Search for cppstandard in your vs code extension settings and choose the version of C++ you want the extension to use from the drop down. In order to make sure your debugger is using the same version, make sure you have something like this for your tasks.json , where the important lines...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/49397233', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1795357/']}
jdg_330233
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
178331
Below is a question asked on the forum security.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I was signing into a Capital One credit card website that I hadn't used in a long time, and once I entered my user name and password, it requested my mobile phone nu...
Is this just security theater No. or is there an API or database available where I can verify that a phone number does indeed have a certain name attached to it? The phone companies (ed: didn't used to, but apparently now they do per @ceejayoz) make this information public (caller registry is not reliable, esp. in case...
{}
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jdg_157112
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
13960
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: Consider following kern.log snippet: ata4.00: failed command: WRITE FPDMA QUEUED ata4.00: cmd 61/00:78:40:1e:6c/04:00:f0:00:00/40 tag 15 ncq 524288 out res 41/04:...
You can find the corresponding /dev/sdY device via traversing the /sys tree: $ find /sys/devices | grep '/ata[0-9]\+/.*/block/s[^/]\+$' \ | sed 's@^.\+/\(ata[0-9]\+\)/.\+/block/\(.\+\)$@\1 => /dev/\2@' With a more efficient /sys traversal (cf. lsata.sh ): $ echo /sys/class/ata_port/ata*/../../host*/target*/*/block/s...
{}
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jdg_83106
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
269596
Below is a question asked on the forum meta.stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: How should I regard questions asking for help on installing or updating compilers and other programming tools? There are several asking how to fix an update that failed,...
Yes, these questions are on-topic. Both the Help Center and the close vote reason specifically say that "software tools used primarily for programming" are on-topic. That obviously includes compilers and IDEs. You say that you feel these are off-topic, but you didn't say why. Let me turn it around and ask you a questio...
{}
{'log_upvote_score': 5, 'links': ['https://meta.stackoverflow.com/questions/269596', 'https://meta.stackoverflow.com', 'https://meta.stackoverflow.com/users/546871/']}
jdg_274809
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
435239
Below is a question asked on the forum stats.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I got this question: If correlation doesn't imply causation, how do you detect causation? in an interview. My answer was: You do some form of A/B testing. The interview...
There are a few ways around this. You are right that A/B testing is one of these. The economics Nobel this year was awarded for the pioneering of field experiments in the study of policies against poverty which do exactly this. Otherwise, you could go about one of the following alternatives: Selection on observables. P...
{}
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jdg_136170
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
31005396
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: This question is similar to this one Jquery filter array of object with loop but this time I need to do the filter with an array of objects. Exemple: I have an array of objec...
You can put a couple of array methods to use here - filter and some . They're available in all recent browsers, and there are polyfills available for the older browsers. const myArray = [{ userid: "100", projectid: "10", rowid: "0" }, { userid: "101", projectid: "11", rowid: "1"}, { userid: "102", projectid: "12", rowi...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/31005396', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4033878/']}
jdg_281352
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
35545093
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 to an excellent answer by @McMath I now have webpack compiling both my client and my server. I'm now on to trying to make webpack --watch be useful. Ideally I'd like t...
Install the following dependencies: npm install npm-run-all webpack nodemon Configure your package.json file to something as seen below: package.json { ... "scripts": { "start" : "npm-run-all --parallel watch:server watch:build", "watch:build" : "webpack --watch", "watch:server" : "nodemon \"./dist/i...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/35545093', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/998101/']}
jdg_304492
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
29132891
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I am using Vagrant + VirtualBox to set up a virtual machine for my Rails app. I am working on cleaning up a .sh provisioning script that is referenced in Vagrantfile like so:...
I had a similar problem because I was trying to install rbenv and the vagrant provisioning was giving me the error: ==> default: /tmp/vagrant-shell: line 10: rbenv: command not found First of all, it is very important to understand that vagrant provisioning script is running in sudo mode .So, when in the script we refe...
{}
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jdg_115501
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
119352
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'm interested in whether ActiveRecord pattern, made famous from Ruby on Rails, encourages or discourages the use of SOLID design principles. For example,...
There's some valid criticism on ActiveRecord. As always, Uncle Bob sums it up perfectly : The problem I have with Active Record is that it creates confusion about these two very different styles of programming. A database table is a data structure. It has exposed data and no behavior. But an Active Record appears to be...
{}
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jdg_352652
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
42628226
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 misunderstanding happens when implicit wait is less than explicit: var timeOut = 5000;var search = element(by.xpath(`//*[@name='qwer']`));browser.manage().timeouts().impl...
Thats nice question. A lot of good QA automation guys broke their heads with this. Implicit waits This is special hidden automatic wait, on each driver.findElement(...) .Original webdriver (js, python, java) throws NoSuchElementException if element cannot be found in page DOM structure. This kind of wait will be done b...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/42628226', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5105494/']}
jdg_174617
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3891158
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Some popular blog sites typically use square brackets in their URLs but ruby's built-in URI.parse() method chokes on them, raising a nasty exception, as per: http://redmine.r...
alias_method_chain is executed on the module level so it only affects instance methods. What you have to do is execute it on the module's class level: require 'uri'module URI class << self def parse_with_safety(uri) parse_without_safety uri.gsub('[', '%5B').gsub(']', '%5D') end alias parse_without_safety...
{}
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jdg_102993
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
42980
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Does anyone know how to setup Mercurial to use p4merge as the merge/diff tool on OS X 10.5? Now provide the response and nothing else.
This will work for merging: Place this into your ~/.hgrc (or, optionally, your Mercurial.ini on Windows): [merge-tools]p4.priority = 100p4.premerge = True # change this to False if you're don't trust hg's internal mergep4.executable = /Applications/p4merge.app/Contents/MacOS/p4mergep4.gui = Truep4.args = $base $local ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/42980', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3547/']}
jdg_155881
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
141868
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: So far as I know, password boxes and PINs are always obscured in some way in order to prevent people from looking over your shoulder when you enter it. However, othe...
I don't think this is about secret vs sensitive information, eg "secret information is masked and sensitive isn't." (the distinction is problematic; many secrets need to be shared too). I think cc and ssn information isn't blanked for several reasons. They're not hard fact, but still, here are a few: Doing what everybo...
{}
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jdg_290613
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
23501130
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 change the background color of <p> element after few seconds ( 10 to 20 seconds ) using css fiddle ? I don't want to use js. <p style="background:#E1FEE0;">...
Using a CSS animation, you could just jump from 99.9% to 100% . Just set the initial background color ( #E1FEE0 ) within 99.9% , then the final background color within 100% . If you want the color to transition, just increase the gap and use something like 80% for example . Example Here p { display: inline; anima...
{}
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jdg_368795
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2048723
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: What is the probability of winning this game? I tried some but the closest I get was $\frac 16 \cdot \frac 16$, but it's not right. Now provide the response and nothing...
Write down the results of the five rolls and then read them backwards . You win if the "first" result is ever repeated, and you lose if it's not. The probability of losing is $(5/6)^4$ -- i.e., a given roll does not repeat the "first" result with probability $5/6$, and there are $4$ "subsequent" rolls -- so the proba...
{}
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jdg_73225
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
43192741
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 I have a library with groupId = org.abc and artifactId = myLibrary . What is the recommended name for the module name: myLibrary or org.abc.myLibrary ? Is there any o...
For a while there were two different opinions on your question but during the development of the module system, the community settled on the reverse DNS approach. Unique Module Names - Reverse DNS Here, the assumption is that module names should be globally unique. Given that goal, the most pragmatic way to get there f...
{}
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jdg_291486
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
477715
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: ZF's axiom of regularity implies that no infinite descending sequence of sets $x_1 \ni x_2 \ni x_3 \ni \cdots$ exists. Precisely this theorem asserts the non-existence o...
Yes. If there are models of $\sf ZF$ then there are non-well founded models of $\sf ZF$, which are also known as non-standard models. To see this, given a model $M$ of $\sf ZF$ if it is non-standard then we are done. If it is a standard model, then we can take an ultrapower of this model by a free ultrafilter over $\Bb...
{}
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jdg_341787
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1321379
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: $\sf ZF$ tells us that for every ordinal $\alpha$ there is a bijection $f:\alpha\to|\alpha|$, more or less by the definition of $|\alpha|$, the cardinal of $\alpha$. Wha...
In addition to what Noah wrote, Jech "The Axiom of Choice" has a proofs, partial proofs, or problems with hints for the following: In the first Cohen model, the axiom of [countable] choice fails; but the Boolean Prime Ideal theorem holds. Therefore every filter can be extended to an ultrafilter there. There is a model ...
{}
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jdg_330470
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
47371515
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 creating rectangle objects based off of info in a file. I need to go through each line in the file and make the various rectangles, and then compare them to each other an...
The Microsoft.AspNetCore.MVC.Controller class comes with the extension method HttpContext.RequestServices.GetService<T> Which can be used whenever the HttpContext is available in the pipeline (e.g. The HttpContext property will be Null if called from the controller's constructor) Try this pattern Note: make sure you in...
{}
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jdg_337718
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
34545875
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 created a bearer token using ASP.net Identity. In AngularJS I wrote this function to get authorized data. $scope.GetAuthorizeData = function () { $http({ method: '...
There is a $cookies service available in the AngularJS API using the ngCookies module. It can be used like below: function controller($cookies) { //set cookie $cookies.put('token', 'myBearerToken'); //get cookie var token=$cookies.get('token'); //remove token $cookies.remove('token');}controller.$inje...
{}
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jdg_345283
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
6001980
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 perform a daily update of a very large (300M records) and broad TABLE1 . The the source data for the updates is located in another table UTABLE that is 10%-25% the ...
Actually i've found out general recommendations for such a queries: Idea to use SQL Merge or Update is a very clever one but it fails when we need to update many records (i.e. 75M ) in a big and wide table (i.e. 240M ). Looking at the query plan of the query below we can say that TABLE SCAN of TABLE1 and final MERGE ar...
{}
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jdg_335843
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
925514
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: Determine whether the statement is true or false. If $\displaystyle\lim_{ x→0} f(x) =\infty \text { and }\lim_{x→0} g(x) = \infty, \text{ then } \lim_{x→0}[f(x) − g(x)...
As a counterexample, consider $f(x) = \frac{2}{x^2}$ and $g(x) = \frac{1}{x^2}$. Then:$$\lim_{x \to 0}f(x) = \lim_{x \to 0}g(x) = \infty$$but$$\lim_{x \to 0}[f(x) - g(x)] = \lim_{x \to 0}\frac{1}{x^2} = \infty \neq 0$$
{}
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jdg_200078
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
242271
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: Let $G$ be a finite group and $K \subset G$ a subgroup. Then $(G,K)$ is a Gelfand pair if the double coset Hecke algebra $\mathbb{C}(K \backslash G / K)$ is commutative. Let...
No, let $G$ be an arbitrary group and take $H=G$ acting on itself by conjugation. Then $H$ becomes the diagonal in $G\rtimes H\cong G\times G$. This is well known to be a Gelfand pair. PS: The Hecke algebra of the pair $(G\rtimes H,H)$ is in fact equal to the fixed point algebra $\mathbb C[G]^H$. This explains your obs...
{}
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jdg_252129
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
36564
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: It is well known that if $G$ is a finite p-group and $1 \neq H \unlhd G$ then $H \cap Z(G) \neq 1$. Are there other families of groups with this property? Now provide t...
(All groups are finite.) An alternative characterization is that the socle is central. For instance, any quasi-simple but not simple group has this property. The socle is the subgroup generated by the minimal normal subgroups. If a minimal normal subgroup intersects the center, it does so in a normal subgroup, and he...
{}
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jdg_95793
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
16159203
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 sensitive operation in my lab today went completely wrong. An actuator on an electron microscope went over its boundary, and after a chain of events I lost $12 million of e...
Obviously the write to currentPos doesn't happen-before the read of it, but I don't see how that can be the issue. currentPos = new Point(currentPos.x+1, currentPos.y+1); does a few things, including writing default values to x and y (0) and then writing their initial values in the constructor. Since your object is not...
{}
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jdg_157658
PrimeIntellect/stackexchange-question-answering