source
string
task_type
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in_source_id
string
instruction_seed
string
gold_standard_solution
string
verification_info
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problem_id
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_source
string
stackexchange
llm_judgeable_groundtruth_similarity
138930
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I'm trying to show: If $A$ is a $n\times n$ matrix which is not invertible, then exists a matrix $n\times n$, $B$ such that: $AB=0$ with $B\neq 0$. Thanks for your help....
If $A$ is not invertible then there exists a non-zero column vector $v$ such that $Av=0$. Take $B$ to be formed of $n$ columns all equal to the vector $v$. If $A$ is invertible then $AB=0$ implies $B=0$ because you can multiply the equality by $A^{-1}$.
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/138930', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/11648/']}
jdg_99339
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
24470
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: For example I typed such commands: user@my-machine:~$ cd ABCuser@my-machine:~/ABC$ cd long-nameuser@my-machine:~/ABC/long-name$ cd another-long-nameuser@my-machine:~/ABC...
The prompt format is in the PS1 environment variable; see the bash manpage, prompting section for format specifiers. 10:50:39 user@host:1996 ~$ echo $PS1\t \u@\h:\! \W$ The \W only prints the top directory like you (?) want. ( \w prints the whole thing like you have now). 10:50:45 user@host:1997 ~$ PS1='\u@\h:\W$ 'user...
{}
{'log_upvote_score': 4, 'links': ['https://unix.stackexchange.com/questions/24470', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/7109/']}
jdg_208266
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
16504062
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 new to C/C++ programming, but I've been programming in C# for 1.5 years now. I like C# and I like the List class, so I thought about making a List class in C++ as an exer...
Firstly, the syntax of a for-each loop in C++ is different from C# (it's also called a range based for loop . It has the form: for(<type> <name> : <collection>) { ... } So for example, with an std::vector<int> vec , it would be something like: for(int i : vec) { ... } Under the covers, this effectively uses the begin()...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/16504062', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1803069/']}
jdg_285783
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4038151
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 Bernt Oksendal's Stochastic Differential Equations , Chapter 4, one has the following stochastic differential equation (whose solution is geometric Brownian motion): ...
Typically associativity of the integral is proved early on. If $X$ is a semimartingale and the integral $K \cdot X = \int K dX$ makes sense then the integral $(HK) \cdot X = \int HK dX$ makes sense if and only if the integral $H \cdot (K\cdot X) = \int H d(\int K dX)$ makes sense, in which case they are equal. In "diff...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/4038151', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/194587/']}
jdg_83980
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
519249
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 Bernoulli's inequality gives a lower bound on numbers of the form $(1-x)^r$: $$(1-x)^r\geq 1-rx$$ for integer $r\geq 0$ and real number $0<x<1$. Is there a correspon...
let $a:=\log\left(\frac{1}{1-x}\right)$. Then $$(1-x)^r=\frac{1}{e^{ra}}=\frac{1}{1+ra+\frac{a^2r^2}{2!}+\frac{a^3r^3}{3!}+\ldots}$$ Now truncate the infinite series in the denominator to your heart's content. For example $$(1-x)^r\leq \frac{1}{1+ra}$$.
{}
{'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/519249', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/91700/']}
jdg_251484
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
155303
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 go from this string: "ThisIsMyCapsDelimitedString" ...to this string: "This Is My Caps Delimited String" Fewest lines of code in VB.net is preferred but C# is also w...
I made this a while ago. It matches each component of a CamelCase name. /([A-Z]+(?=$|[A-Z][a-z])|[A-Z]?[a-z]+)/g For example: "SimpleHTTPServer" => ["Simple", "HTTP", "Server"]"camelCase" => ["camel", "Case"] To convert that to just insert spaces between the words: Regex.Replace(s, "([a-z](?=[A-Z])|[A-Z](?=[A-Z][a-z]))...
{}
{'log_upvote_score': 9, 'links': ['https://Stackoverflow.com/questions/155303', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/17235/']}
jdg_258235
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4581579
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I don't get why value objects in DDD should be immutable, nor do I see how this is easily done. (I'm focusing on C# and Entity Framework, if that matters.) For example, let'...
Ignore all the crazy answers about thread safe etc, that has nothing to do with DDD.(I've yet to see a thread safe O/R mapper or other DDD friendly dal) Imagine a value object for weights.lets say we have a KG value object. sample (edited for clarity): var kg75 = new Weight(75);joe.Weight = kg75;jimmy.Weight = kg75; No...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/4581579', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/560759/']}
jdg_130601
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
895807
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: One of our review problems for my complex analysis final is the following: Show that $e^z=z$ has infinitely many solutions in $\mathbb{C}$. I've seen a few solutions onl...
From page 5 of this book : By Picard’s big theorem and a previous example in the book, we know $e^z$ has an essential singularity at infinity, hence so does $f(z) = e^z − z$. This implies that as $|z| → ∞$, we know $f(z)$ takes on all values infinitely many times with the possible exception of one point. This point ...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/895807', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/169387/']}
jdg_293516
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
10689401
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 what my control tree looks like: <window> <scrollviewer> <expander> <scrollviewer> <grid> </grid> </scrollviewer> </expander> <expander> <scrollviewer>...
I get a similar trouble in my application. I correct it by a depency property that will catch and pass the event too his parent. This can be applied to any control that have a scroll in it. But for me, i didn't need to validate if it was at the end of the scroll to send to his parent. You will just have to add, in the ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/10689401', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1408381/']}
jdg_377907
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
38545219
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 looking, however, I have had little luck finding any way to style the React.js file that I have created, I converted it from a standard web page, so I have the or...
A first read through your question makes it seem that your existing CSS isn't working when you 'React-ify' your webpage. It should. If it's not, there's something else going on that will need further diagnosing to fix. I recently rewrote one of my projects in React and continued to use the exact same CSS file and thing...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/38545219', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/-1/']}
jdg_216330
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
315379
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 attempting to generate an exponential regression equation using Excel 2010. I plan to use the equation to predict the future condition of roads. I've mocked up a si...
A function of the form $m_Y = \exp(a+bx)$ (where $m$ represents some conditional population coefficient of interest, like a mean, geometric mean, or a median, perhaps, depending on how your error term is set up) is convex , while your data are not: The plot shows two such curves, one with a negative coefficient on $x$,...
{}
{'log_upvote_score': 4, 'links': ['https://stats.stackexchange.com/questions/315379', 'https://stats.stackexchange.com', 'https://stats.stackexchange.com/users/156543/']}
jdg_326975
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
31797
Below is a question asked on the forum mechanics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I was thinking today, what is the actual point of an exhaust? Why can't we just have a pipe going out the front of a car instead of taking all the gases to the back...
Safety, comfort, noise and space are the things that come to mind. Safety Exhaust gasses are hot as hell. Hot enough that we put heat shields all over the exhaust line. In engines, we are actively trying to remove heat. Adding more from the exhaust goes completely against that and would increase overheating. Also, ...
{}
{'log_upvote_score': 7, 'links': ['https://mechanics.stackexchange.com/questions/31797', 'https://mechanics.stackexchange.com', 'https://mechanics.stackexchange.com/users/4906/']}
jdg_230901
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
57256
Below is a question asked on the forum datascience.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: A decision tree, while performing recursive binary splitting, selects an independent variable (say $X_j$ ) and a threshold (say $t$ ) such that the predictor spac...
You are right on all counts: If DT splits a node with the above algorithm and treat those 10 values are true numeric values, will it not lead to wrong/misinterpreted splits? Yes absolutely, for exactly the reason you mention below: Should it rather perform the split based on == and != for this variable? But then, how w...
{}
{'log_upvote_score': 4, 'links': ['https://datascience.stackexchange.com/questions/57256', 'https://datascience.stackexchange.com', 'https://datascience.stackexchange.com/users/62446/']}
jdg_365982
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
40483358
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I am new to the F2E world.I just created a web application using create-react-app. ( https://github.com/facebookincubator/create-react-app ) I wanted to import owl.carousel i...
Remove plugin which blocks import syntax Problem is with import syntax which is not default webpack syntax. You have installed in Your project https://github.com/benmosher/eslint-plugin-import/blob/master/docs/rules/no-webpack-loader-syntax.md to block it, for sure it is part of react-create-app. Please remove it to en...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/40483358', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2813365/']}
jdg_81583
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
36339242
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 trying to change the background of the tab bar, and have read many posts here in ObjC, many of them quite old. But I didn't find any for Swift, which is what I'm us...
This is a fine way to change the color of a UITabBar . If you want to avoid setting the color in every viewController that is embedded inside of your UITabBarController , you could also create a subclass of UITabBarController and set it there. This way no matter what page comes up first, the color will be set. To creat...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/36339242', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1869742/']}
jdg_109645
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
36923288
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 set up gradle to launch the bootRun process with various spring profiles enabled. My current bootRun configuration looks like: bootRun { // pass command line...
Simplest way would be to define default and allow it to be overridden. I am not sure what is the use of systemProperty in this case. Simple arguments will do the job. def profiles = 'prod'bootRun { args = ["--spring.profiles.active=" + profiles]} To run dev: ./gradlew bootRun -Pdev To add dependencies on your task you...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/36923288', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/843542/']}
jdg_224786
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
362938
Below is a question asked on the forum serverfault.com. Provide a good and informational response to it like a helpful human would. Question: Here's what I found from /var/log/nginx/error.log file. 2012/02/23 04:28:32 [error] 1704#0: *2 open() "/usr/share/nginx/html/MyAdmin/scripts/setup.php" failed (2: No such file ...
Yes, these are both hacking attempts. The first is attempting to see if you have phpMyAdmin installed. You will usually find a large number of variations on these directories such as /PMA/ , /admin/db/ , /phpMyAdmin/ and specific versions such as /phpMyAdmin-2.2.3/main.php phpMyAdmin has had plenty of security holes ...
{}
{'log_upvote_score': 4, 'links': ['https://serverfault.com/questions/362938', 'https://serverfault.com', 'https://serverfault.com/users/90746/']}
jdg_245325
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2811991
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: $$\int_{-3}^5 f(x)\,dx$$ for$$ f(x) =\begin{cases}1/x^2, & \text{if }x \neq 0 \\-10^{17}, & \text{if }x=0\end{cases}$$ I tried with Newton Leibniz formula, is this cor...
The $-10^{17}$ is a red herring: the value of a function at a single point has no effect on the integral. On the other hand, this does signal that something funny is likely to be happening as $x \to 0$, and indeed it does: the integrand goes to $\infty$ there. Since the integrand is unbounded, this is not an ordinary...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/2811991', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/525516/']}
jdg_84057
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
49936910
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Hi I'm running Ubuntu 16.04.3 LTS on Windows Subsystem Linux. I'm trying to run the Quick Start first app as listed in this section here https://electronjs.org/docs/tutorial/...
Electron needs to open a chrome browser window. So, when you run it from WSL using a node.js that was installed in WSL, I guess it would try to start the chromium browser for Ubuntu, which will not work out of the box, because: Microsoft doesn't support graphical programs on WSL. Bash on WSL is intended for running com...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/49936910', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5141478/']}
jdg_286174
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2686593
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Imagine I've got the following in a text file opened under Emacs: some 34word 30another 38thing 59to 39say 10here 47 and I want to turn into this, adding ...
This can be solved by using the command query-replace-regexp (bound to C-M-% ): C-M-% \b[0-9][0-9]\b return \,(1+ \#&) The expression that follows \, would be evaluated as a Lisp expression, the result of which used as the replacement string. In the Lisp expression, \#& would be replaced by the matched string, interpre...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/2686593', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/257356/']}
jdg_266627
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
270074
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: Back when I was a kid, car batteries used to be huge heavy lumps of plastic filled with lead and acid. They used to weigh almost as much as a mobile phone (slight...
So, now after the answer to your literal question to your real question , that you sadly didn't ask Battery technology has moved so far in the last 100 years. The lead-acid starter battery became common in cars in 1920, lead is essentially poison, and sulphuric/lead acid isn't any less dangerous. They tend to fail in c...
{}
{'log_upvote_score': 7, 'links': ['https://electronics.stackexchange.com/questions/270074', 'https://electronics.stackexchange.com', 'https://electronics.stackexchange.com/users/-1/']}
jdg_212139
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
22611
Below is a question asked on the forum emacs.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I've seen many different ways of specifying key combinations for setting or unsetting key bindings in emacs. Some are quoted, others are bracketed, some are escaped, o...
The internal representation of a key sequence is as a vector of events . The internal representation is anything that the built-in primitives define-key and lookup-key recognize, and all the other functions based on them. An individual event can be a character (for characters, possibly with modifiers), a symbol (for an...
{}
{'log_upvote_score': 4, 'links': ['https://emacs.stackexchange.com/questions/22611', 'https://emacs.stackexchange.com', 'https://emacs.stackexchange.com/users/2065/']}
jdg_171238
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
31917830
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 going through the topic of associativity of C operators. There I came across this fact that the function call operator () has a left to right associativity. But associa...
Here is an example, where left-right associativity of function call operator matters: #include <stdio.h>void foo(void){ puts("foo");}void (*bar(void))(void) // bar is a function that returns a pointer to a function{ puts("bar"); return foo;}int main(void){ bar()(); return 0;} The function call: bar()(); ...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/31917830', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2105110/']}
jdg_360644
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
40090258
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 an FYI... I am using UserForm1.WebBrowser1.document.CurrentWindow.execScript("return doSubmit( this.form )").Click code to extract I need to click on next button but ele...
The gulp-htmlmin module uses the html-minifier module, which has plenty of options ( displayed on both its npmjs.com and github pages ) that can be used. The option we will focus on is ignoreCustomFragments . var gulp = require(gulp), htmlmin = require(gulp-htmlmin);gulp.task('htmltask', function(){ return gulp.src...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/40090258', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2738200/']}
jdg_128386
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
235431
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 saw this in code and was wondering if there is any performance benefit to checking the item count prior to looping: if (SqlParams.Count > 0) foreach ...
Ultimately, the best answer is to actually test it. Make a method which loops over an empty array with and without checking the length first, call each 100,000 times and see which has a faster runtime. public void withCheck(Integer[] array) { for (int i = 0; i < 100000; i++) { if (array.length > 0) { ...
{}
{'log_upvote_score': 5, 'links': ['https://softwareengineering.stackexchange.com/questions/235431', 'https://softwareengineering.stackexchange.com', 'https://softwareengineering.stackexchange.com/users/22147/']}
jdg_185309
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
25539330
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 running a scraper of this course website and I'm wondering whether there's a faster way to scrape the page once I have it put into beautifulsoup. It takes way longer tha...
Okay, you can really speed this up by: go down to the low-level - see what underlying requests are being made and simulate them let BeautifulSoup use lxml parser use SoupStrainer for parsing only relevant parts of a page Since this is ASP.NET generated form and due to it's security features, things get a bit more compl...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/25539330', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1739039/']}
jdg_296206
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2199076
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Possible Duplicate: Why #include <stdio.h> is not required to use printf()? Both printf and scanf have been declared in stdio.h. But they work even without that, dropping jus...
Calling a function without declaring it will create an implicit declaration based on the parameters you give and an assumed return type of int . This lets it get past the compilation stage, since the function could exist somewhere else that isn’t known until link time — C didn’t always have function prototypes, so this...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/2199076', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/241681/']}
jdg_70142
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3266764
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: $$f(x)+3f\left({1\over{x}}\right)=x$$ Okay so I tried saying that $f(x)=y$ and $f({1\over{x}})={1\over{y}}$ Solving this for $y$ I got $y_{1/2}={{x\pm\sqrt{x^2-12}}\over...
We have the system $$f(x)+3f\left(\dfrac 1x\right)=x\\f\left(\dfrac 1x\right)+3f(x)=\dfrac 1x$$ from which $$f(x)=\dfrac{3}{8x}-\frac x8$$
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/3266764', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/600139/']}
jdg_224298
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
33211991
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 made a Deserializer in my project however this it is not being called I am using Retrofit 2.0 with GSON and this is one my API calls @GET(UrlConstants.GET_EVENT_COMMENTS) ...
It looks like you can use numpy.transpose and then reshape, like so - data.transpose(2,0,1).reshape(-1,data.shape[1]) Sample run - In [63]: dataOut[63]: array([[[ 1., 20.], [ 2., 21.], [ 3., 22.], [ 4., 23.]], [[ 5., 24.], [ 6., 25.], [ 7., 26.], [ 8., 27....
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/33211991', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4243687/']}
jdg_194635
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
30614272
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 use the new TabLayout in the android design library to create app bar with icons. public void setupTabLayout(TabLayout tabLayout) { tabLayout.setTabMode(TabL...
From the documentation : https://developer.android.com/reference/android/support/design/widget/TabLayout.Tab.html#setCustomView(android.view.View) Set a custom view to be used for this tab. This overrides values set by setText(CharSequence) and setIcon(Drawable). you will have to set the title values yourself From you...
{}
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jdg_222289
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
275683
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I am trying to learn propositional logic. I have read that axiomatic system is defined since there are some problems which can not be solved using truth tables. I have ...
As you said we can check if a formula is a tautology just looking at it's truth table, anyway studying logical system (i.e. a system with has axioms and inference rules) also for propositional logic can be interesting for different reason: first of all there's the didactic reason: it's a simple deductive system, indeed...
{}
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jdg_94872
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
51714933
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Hello all I have the following piece of code: <table class="details-table" *ngIf="peop && peopMetadata"> <tr *ngFor="let attribute of peopMetadata.Attributes"> <td ...
INPUT only approach: <input [disabled]="!peop[attribute.IsWritable]" matInput [(ngModel)] = "peop[attribute.AttributeKey]" /> CONDITIONAL approach: <ng-container *ngIf="peop[attribute.IsWritable]"> <input matInput [(ngModel)]="peop[attribute.AttributeKey]" /></ng-container><ng-container *ngIf="!peop[attribute.IsWritab...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/51714933', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/814733/']}
jdg_136262
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
63398
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: This is a very naive question which really does little more than highlight my ignorance of how converse theorems really work. Take an algebraic gadget which should be conjectu...
Dear Kevin, My understanding of the current meromorphic continuation results is that they do something along the lines of expressing a given Galois representation as the induction of a virtual (i.e. positive and negative coefficients) combination of various automorphic Galois representations. To get true automorphy, it...
{}
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jdg_259293
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4542942
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: When I use the latest (1.0) release of coffee-script, a simple javascript output looks like this (by default): (function() { var a; a = 1;}).call(this); What does .call(thi...
It's creating a function and then calling itself with the parent function/objects scope. .call and .apply are different methods of invoking a function. You basically created a function that does nothing except set a=1 within its own scope. In javascript you need to realize that every function is a object, and this is w...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/4542942', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/43453/']}
jdg_142282
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
704311
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Is there a way of finding out where my app threw an ANR (Application Not Responding). I took a look at the traces.txt file in /data and I see a trace for my application. This...
An ANR happens when some long operation takes place in the "main" thread. This is the event loop thread, and if it is busy, Android cannot process any further GUI events in the application, and thus throws up an ANR dialog. Now, in the trace you posted, the main thread seems to be doing fine, there is no problem. It is...
{}
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jdg_309235
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
7325663
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 rails application running on localhost:3000. I wish to access it from another computer on the same network. I feel like i've done this before with ease, but it's giv...
After making sure your server side firewall is open to the incoming connection on high ports (this is normally true and the default port is 3000, so you probably don't have to do anything) you must also start the server like this: rails server -b 0.0.0.0 which binds it to the universal address. It binds to localhost by...
{}
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jdg_176646
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
489699
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 do I evaluate the limit of $$\lim_{x\to 0}\frac{\sqrt{x+1}-1}{x} = \frac{1}{2}$$? As $x$ approaches $0$, I know the answer is $\frac{1}{2}$, but I got this question ...
$\require{cancel}$ Multiply numerator and denominator by the conjugate of the numerator: $$\sqrt{x+1} + 1$$ then evaluate the limit. When we multiply by the conjugate, recall how we factor the difference of squares: $$(\sqrt a - b) \cdot (\sqrt a + b) = (\sqrt a)^2 - b^2 = a - b^2$$ $$\dfrac {\sqrt{x+1} - 1}{x} \cdot \...
{}
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jdg_197552
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1246
Below is a question asked on the forum robotics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: So I have a quadrocopter, it does come with a remote but I intend to run certain modifications to the copter, like installing a camera, a mechanical manipulator, and...
Yes, in general this idea is perfectly plausible. However the method is going to be specific to your setup. I.e. the operating system you are using on your control computer and the onboard controller that you are employing. In our lab we use an Ardupilot Mega as our onboard controller for some of our quadrotors. To sol...
{}
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jdg_88473
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
39506949
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 C# 6.0 the "when" keyword was introduced, now you're able to filter an exception in a catch block. But isn't this the same as a if statement inside a catch block? if so, i...
In addition to the several fine answers you already have here: there is a very important difference between an exception filter and an "if" in a catch block: filters run before inner finally blocks . Consider the following: void M1(){ try { N(); } catch (MyException) { if (F()) C(); }}void M2(){ try { N(); } catch (M...
{}
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jdg_306602
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
40099039
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have this picture below that I want to convert into web from a windows. I manage to do the design but I have a problem in the grid (I am using data tables in bootstrap) I c...
It doesn't matter CSV, PDF or something else, it's all about the response that you get from the get request with format csv. This is way i do test my the csv generator: describe "GET/index generate CSV" do before :each do get :index, format: :csv end it "generate CSV" do expect(response.header['Content-Type'])...
{}
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jdg_219250
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
45869886
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 two dataframes, and the column names for both are: table 1 columns:[ShipNumber, TrackNumber, ShipDate, Quantity, Weight]table 2 columns:[ShipNumber, TrackNum...
Use merge() and concat() . Then drop any duplicate cases where both A and B match (thanks @Scott Boston for that final step). df1 = pd.DataFrame({'A':[3,2,1,4], 'B':[7,8,9,5]})df2 = pd.DataFrame({'A':[1,5,6,4], 'B':[4,1,8,5]})df1 df2 A B A B0 3 7 0 1 41 2 8 1 5 12 1 9 2 6 83 ...
{}
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jdg_114929
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1113855
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 the sizeof(enum) == sizeof(int), always ? Or is it compiler dependent? Is it wrong to say, as compiler are optimized for word lengths (memory alignment) ie y int is the wo...
It is compiler dependent and may differ between enums. The following are the semantics enum X { A, B };// A has type intassert(sizeof(A) == sizeof(int));// some integer type. Maybe even int. This is// implementation defined. assert(sizeof(enum X) == sizeof(some_integer_type)); Note that "some integer type" in C99 may a...
{}
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jdg_92175
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
29609371
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 some aliases for ssh, example: alias buildWork="ssh work '~/build_app'" The problem is that the ssh command passes some variables like $LC_CTYPE that causes some error...
It sounds like your SSH client is configured to forward the locale settings. You can prevent this by altering your configuration (the global file is typically /etc/ssh/ssh_config ): # comment out / remove the following lineSendEnv LANG LC_* Alternatively you can change the configuration of the server, by editing /etc/s...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/29609371', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1726507/']}
jdg_247361
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
14038331
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 implemented Search Filter to my SearchView in my SherlockAction Bar. When i type m i want to show filtered results in the list view below which only starts with M and ...
Place this inside your adapter: @Overridepublic Filter getFilter(){ return new Filter(){ @Override protected FilterResults performFiltering(CharSequence constraint) { constraint = constraint.toString().toLowerCase(); FilterResults result = new FilterResults(); if (...
{}
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jdg_275641
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8453
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: D'Alembert's principle suggests that the work done by the internal forces for a virtual displacement of a mechanical system in harmony with the constraints is zero. T...
Given a system of $N$ point-particles with positions ${\bf r}_1, \ldots , {\bf r}_N$; with corresponding virtual displacements $\delta{\bf r}_1$, $\ldots $, $\delta{\bf r}_N$; with momenta ${\bf p}_1, \ldots , {\bf p}_N$; and with applied forces ${\bf F}_1^{(a)}, \ldots , {\bf F}_N^{(a)}$. Then D'Alembert's principle s...
{}
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jdg_281941
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3065535
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Could someone explain the columns shown of the symbol table using readelf ? Now provide the response and nothing else.
Consider the following: Symbol table .symtab contains 1203 entries: Num: Value Size Type Bind Vis Ndx Name 310: a0008120 0 NOTYPE GLOBAL DEFAULT ABS _gp 734: a0000010 32 OBJECT GLOBAL DEFAULT 77 v 818: 9d000018 496 FUNC GLOBAL DEFAULT 71 main 849: a0000124 4 OBJECT GLOBAL DEFAU...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/3065535', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/349207/']}
jdg_191318
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2622651
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: Compute the indefinite integral $\displaystyle{\int\frac{x^2}{\tan{x}-x}dx, x \in (0, \frac{\pi}{2})}$. I have tried substituting $\tan{x} = t$ or write $\tan{x} = \disp...
$$\int\frac{x^2}{\tan{x}-x}dx=\int\left(\frac{x^2}{\tan{x}-x}+x-x\right)dx=\int\frac{x\sin{x}}{\sin{x}-x\cos{x}}dx-\frac{x^2}{2}=$$$$=\int\frac{d(\sin{x}-x\cos{x})}{\sin{x}-x\cos{x}}-\frac{x^2}{2}=\ln|\sin{x}-x\cos{x}|-\frac{x^2}{2}+C$$
{}
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jdg_88408
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
9889040
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 objective-c I am trying to evaluate the following expression: _c = _f / 5 * 8; It tells me that an int and a NSNumber are invalid arguments to a binary expression. Whats w...
Objective-C has several different structures in place for you to use in calculations. From its C roots come the primitive numbers, int s, float s, double s, etc, on which you can perform arithmetic operations directly ( + , - , * , / , etc.). These are what you're looking to use. On a higher lever, Objective-C also has...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/9889040', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1285697/']}
jdg_290057
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
32690086
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 tried several ways to use UIAlertController,instead of UIAlertView. I tried several ways but I cannot make the alert action work.Here is my code that works fine in IOS...
From iOS8 Apple provide new UIAlertController class which you can use instead of UIAlertView which is now deprecated, it is also stated in deprecation message: UIAlertView is deprecated. Use UIAlertController with a preferredStyle of UIAlertControllerStyleAlert instead So you should use something like this UIAlertCont...
{}
{'log_upvote_score': 9, 'links': ['https://Stackoverflow.com/questions/32690086', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5358209/']}
jdg_135198
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4735623
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 created a document view which displays the page number in the corner. The page number is a uilabel with a semi-transparent background colour, and has a corner radius (u...
For labels, or views with rounded corners and or background colors and shadows on scrolling views the solution is pretty simple: The biggest issue is from the masksToBounds layer option. This appears to tax performance significantly, however the label seems to need this ON to mask the background color to rounded corner...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/4735623', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/392986/']}
jdg_376094
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
54753238
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 register a new app with SoundCloud. I therefore go to https://soundcloud.com/you/apps and click on "Sign up for a new app". This opens a google form that says:...
You don't have to register an APP, even if you wanted to it would be quite hard to. The registration is closed for over a year now.I had this problem too and managed to circumvent this by just grabbing my browsers client_id and working with that. Con: You can't access oauth features and personalized stuff, but you can ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/54753238', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2679757/']}
jdg_278797
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
22330786
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 having an issue with restangular. This code : Restangular.one("undefined_ressource").get().then( function(res){ console.log("success", res.code); }, funct...
Adapted from your code example Restangular.one("undefined_ressource").get().then( function(myObject){ console.log("success obtained myObject"); }, function (res) { console.log("fail", res.status); }); If Restangular call is successful: then first function should be invoked and its argument shou...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/22330786', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/533681/']}
jdg_253271
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
5766882
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Assuming I am really pressed for memory and want a smaller range (similar to short vs int ). Shader languages already support half for a floating-point type with half the pre...
Re: Implementations: Someone has apparently written half for C, which would (of course) work in C++: https://storage.googleapis.com/google-code-archive-downloads/v2/code.google.com/cellperformance-snippets/half.c Re: Why is float four bytes: Probably because below that, their precision is so limited . In IEEE-754, a "h...
{}
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jdg_98979
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1926919
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 bunch of rows grouped on an attribute called MyID . Now I want the one row from each group where the StatusDate attribute is the highest in that one group. This is w...
One alternative would be to use: rows.Select(x => x.OrderByDescending(y => y.StatusDate).First()); ... and check that the query optimiser knows that it doesn't really need to sort everything. (This would be disastrous in LINQ to Objects, but you could use MaxBy from MoreLINQ in that case :) (Apologies for previous vers...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/1926919', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/283739/']}
jdg_362079
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
78732
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'm writing a password manager for Windows which I want to protect against keyloggers. There is a timeout of 5000 ms for keyboard hooks . The hook procedure should p...
There are three reasons I can see why this assumption is dicey. Hooks are only removed in Windows 7 and above. This is probably the least of your concern, but worth mentioning. The hook is silently removed, and your application has no way of knowing if these actions occurred and/or were successful. So even if your ass...
{}
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jdg_278656
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
5962117
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 very impressed with the results of Dapper Micro ORM for stackoverflow.com. I am considering it for my new project and but I have one concern about that some times my pro...
In the simple case you can do: var user = cnn.Query<User>("spGetUser", new {Id = 1}, commandType: CommandType.StoredProcedure).First(); If you want something more fancy, you can do: var p = new DynamicParameters(); p.Add("@a", 11); p.Add("@b", dbType: DbType.Int32, direction: ParameterDirection.Output); p.Add("...
{}
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jdg_151089
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
16209145
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: In my application, I need to set a cookie using the express framework. I have tried the following code but it's not setting the cookie. var express = require('express'), http...
The order in which you use middleware in Express matters: middleware declared earlier will get called first, and if it can handle a request, any middleware declared later will not get called. If express.static is handling the request, you need to move your middleware up: // need cookieParser middleware before we can do...
{}
{'log_upvote_score': 9, 'links': ['https://Stackoverflow.com/questions/16209145', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2138629/']}
jdg_124213
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
36528624
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Visual Studio 2015 scaffolding uses UserManager<TUser> which cannot be used to create ClaimsIdentity . Does anyone have a working example on how to do this? The VS2015 scaffo...
UserManager has changed in the MVC6 version. You will need to modify your code... public async Task<ClaimsIdentity> GenerateUserIdentityAsync(UserManager<ApplicationUser> manager) { var authenticationType = "Put authentication type Here"; var userIdentity = new ClaimsIdentity(await manager.GetClaimsAsync(this), a...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/36528624', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1332915/']}
jdg_243581
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
301000
Below is a question asked on the forum electronics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I have a circuit with a 220uF capacitor and a resistor is used to limit the inrush current I stupidly fitted the wrong power rating resistor and (no surprise it f...
Heat flow takes time. In cases where nearly all of the energy is devoted to raising the temperature and where little useful portion of the heat is allowed to have time needed to significantly flow into its surroundings, then you can use the "action integral of the pulse" to estimate failures. If you can find a specific...
{}
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jdg_122650
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
31629993
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Could you please explain why Spring is creating two objects for the configuration of beans shown below, since by default spring default scope is singleton? The Spring configu...
Spring's default scope is singleton. It's just that your idea of what it means to be a singleton doesn't match how Spring defines singletons. If you tell Spring to make two separate beans with different ids and the same class, then you get two separate beans, each with singleton scope. All singleton scope means is that...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/31629993', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3026998/']}
jdg_298681
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
52107252
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 have below branches on which we work. masterdevperson Aperson B We both keep working on our branches i.e. person A or person B (working on same project). When person A fin...
It's a good practice to as soon as feasible after person A pushes the changes to dev for person B to get these changes into their branch b . This is so that person B works on latest code and their eventual merge to dev is easy. Option 1, pull Commit all changes to branch feature_branch (git status shows clean ) git che...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/52107252', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/6243129/']}
jdg_331581
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3844941
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 worked on a brain teaser that started with $\sin{(z)}=10.$ It then solved for $\cos{(z)}=\sqrt{-99}.$ I tried solving for $z,$ using $z=x+iy$ then $z=ae^{bi}$ but got ...
Yes. For a complex number $z$ , we have \begin{align}\sin z &= \frac{1}{2i}(\exp(iz) - \exp(-iz)) \\\cos z &= \frac{1}{2}(\exp(iz) + \exp(-iz))\end{align} so in your problem, we have \begin{align}10 &= \frac{1}{2i}(\exp(iz) - \exp(-iz)) \\10i &= \frac{1}{2}(\exp(iz) - \exp(-iz)) & \text{mult through by $i$}\\i \sqrt{99...
{}
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jdg_233794
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2224077
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: When should I use init: and when should I use initWithNibName:bundle: when creating a view controller? Now provide the response and nothing else.
-initWithNibName:bundle: is the designated initializer for UIViewController. Something should eventually call it. That said, and despite Apple's examples (which favor brevity over maintainability in many cases), it should never be called from outside the view controller itself. You will often see code like this: MYView...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/2224077', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/75350/']}
jdg_127314
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
58037206
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 Error response from daemon: rpc error: code = InvalidArgument desc = only updates to Labels are allowed when redeploying stack docker stack deploy -c docker-compose.ym...
Unfortunately, as Ryabchenko Alexander said, docker configs cannot be updated, see moby issue . In one approach you can remove the services that use the new configs, with the command docker service rm service_name . Then remove the config with docker config rm config_name and redeploy the stack to update the config and...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/58037206', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/6515755/']}
jdg_359118
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3100
Below is a question asked on the forum earthscience.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Australia's Great Dividing Range is the largest mountain range on the continent, running down the length of the eastern part of the continent, as shown in the Ge...
The tectonic history of Australia's Great Dividing Range is very complex, extending back into the Neoproterozoic era ( 1 ), and is far more complex than the Wikipedia quote. Additionally, evidence (shown in this answer) demonstrated that the eastern third of the Australian landmass is comprised of accreted arc systems ...
{}
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jdg_170716
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
10180
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 would like to apply some complex valued function to some region in the plane, say, a circle of radius $R$ centred at $k$. How can I do this? Now provide the re...
Under the interpretation of OP's question as How do I apply the transformation $w=f(z)$ to a region (e.g. a disk) in the complex plane? I'd say ParametricPlot[] (which now incorporates the functionality from the old Graphics`ComplexMap` package) would be what you can use: With[{f = # + 1/# &, center = 1/3 + 3 I/2, radi...
{}
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jdg_87368
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1615488
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 just getting started with git and I have a question. My app has 10 other developers working on it, each one having their own branch like dev_XXXXX. So if I do a clone of ...
By default git clone would fetch all branches, but those branches would be stored as remote-tracking branches: for example branch 'dev_XXXXX' would be stored as 'origin/dev_XXXXX' (with 'refs/remotes/origin/dev_XXXXX' as full name). Those remote-tracking branches wouldn't be visible in git branch output: you would nee...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/1615488', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/44916/']}
jdg_286975
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
17589752
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 our code has 2 threads (A and B) have a reference to the same instance of this class somewhere: public class MyValueHolder { private int value = 1; // ... gette...
jcstress maintainer here. There are multiple ways to answer that question. The easiest solution would be wrapping the getter in the loop, and let JIT hoist it. This is allowed for non-volatile field reads, and simulates the visibility failure with compiler optimization. More sophisticated trick involves getting the deb...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/17589752', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/472109/']}
jdg_184491
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
5878283
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Okay really weird situation with AdMob. I want to place the ad on the bottom I have a LinearLayout. When I do it never shows up. When I place it on top it shows up perfect...
My guess is that your list view fills the screen and is pushing the adview down. Try this xml for the list view: <ListView android:id="@android:id/list" android:divider="#00000000" android:layout_width="fill_parent" android:layout_height="0px" android:layout_weight="1" android:drawSelectorOnTop="false...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/5878283', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/346309/']}
jdg_128276
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
22984696
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 method add new object into ArrayList //get text from textviewtime = date.getText().toString();entry_d = entry.getText().toString();dayName = day.getText().toString();arr...
Convert your array or object to Json with Gson library and store your data as String in json format. Save; SharedPreferences sharedPrefs = PreferenceManager.getDefaultSharedPreferences(context);Editor editor = sharedPrefs.edit();Gson gson = new Gson();String json = gson.toJson(arrayList);editor.putString(TAG, json);edi...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/22984696', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2059961/']}
jdg_151584
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2840940
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Somebody told me that allocating with malloc is not secure anymore, I'm not a C/C++ guru but I've made some stuff with malloc and C/C++. Does anyone know about what risks I'm...
[...] C/C++ it is a well known insecure language. [...] Actually, that's wrong. Actually, "C/C++" doesn't even exist. There's C , and there's C++ . They share some (or, if you want, a lot of) syntax, but they are indeed very different languages . One thing they differ in vastly is their way to manage dynamic memory. Th...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/2840940', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/114747/']}
jdg_132947
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
16739244
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 a simple example for threading which generates tables for numbers starting from 1 to 20. when I tested it with main method it executes all the threads (prints all the...
JUnit is exiting the test method early. You need to wait for all of the threads to complete before you exit the testCalculator() method. An easy way to do that is by using a CountDownLatch . Initialize a CountDownLatch with CountDownLatch latch = new CountDownLatch(20) . Pass each Calculator runnable a reference to the...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/16739244', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/898094/']}
jdg_257431
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
14785761
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Please bear in mind that I have never used Web Workers before and I'm having some trouble wrapping my head around them. Here's an explanation of a simplified version of what ...
You cannot access the DOM from web workers. You cannot load images. You cannot create canvas elements and draw to them from web workers. For now, web workers are pretty much limited to doing ajax calls and doing compute intensive things. See this related question/answer on web workers and canvas objects: Web Worker...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/14785761', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/507674/']}
jdg_110129
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1822612
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 MSTest , what is the relative path root of the DeploymentItemAttribute . Now provide the response and nothing else.
Per the MSDN page... Relative paths are relative to the RelativePathRoot setting found in the .testrunconfig file. That setting is, by default, the Solution directory . So, if you have this project structure SecretProject\ ComponentA\ ComponentA.Test\ Resources\ required.xml ComponentA....
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/1822612', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3619/']}
jdg_124135
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
197784
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: The beta-compactification of a topological space is characterized as the largest space such that every mapping from the original space to another (range) space can be extended...
A subset $A$ of a complete lattice $L$ is said to be join-dense if $L=\{\bigvee^{L} R\mid R\subseteq A\}$ and $A$ is said to be meet-dense in $L$ if $L=\{\bigwedge^{L}R\mid R\subseteq A\}$ . It turns out that the Dedekind–MacNeille completion of a poset $P$ is up to an isomorphism preserving $P$ the only complete latti...
{}
{'log_upvote_score': 4, 'links': ['https://mathoverflow.net/questions/197784', 'https://mathoverflow.net', 'https://mathoverflow.net/users/66946/']}
jdg_281260
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
9137398
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 looking back at the Backbone todo list and have a question about the collection. Here is the code: window.TodoList = Bacbone.Collection.extend({ model: Todo, ...
this is referring to the collection. apply is a method of javascript functions that allows you to set context of a method and send an array of values to the caller. apply expects context as the first parameter then an array or array-like (such as arguments ) which will be passed in as parameters the function. You can d...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/9137398', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/875342/']}
jdg_354221
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
38256609
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 implement the Borg design pattern found here (recreated below): http://python-3-patterns-idioms-test.readthedocs.io/en/latest/Singleton.html . class Borg: _s...
ChartJS supports custom plugins. Create a plug in that will read a new property from the chart options and draw the line at the specified index. See it on Plunkr //Create the plug in var originalLineDraw = Chart.controllers.horizontalBar.prototype.draw; Chart.helpers.extend(Chart.controllers.horizontalBar.prototype, ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/38256609', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2471385/']}
jdg_164952
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
27112370
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 make my code ask me for a "TRUE" or "FALSE" value before proceeding. It currently works fine if I run it one line at a time, however when I run all the code at ...
If you want to do this in interactive mode then you already have answers but not for use with Rscript. For that instance you need to send messages to the console with cat : If this test file is named 'prompt.r' and is in the directory where you are working in a system console session: cat("a string please: ");a <- read...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/27112370', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3604745/']}
jdg_226201
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
14045
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: From ?combine in randomForest : The confusion, err.rate, mse and rsq components (as well as the corresponding components in the test compnent, if exist) of the combin...
Because, at least in default setting, the split of objects into bags is lost. To replicate, you have to train each partial model with keep.inbag=TRUE , then predict the training set with predict(model,trainSet,predict.all=TRUE) and clip it to out-of-bags using bag splits from model$inbag . Now, you do this for all fore...
{}
{'log_upvote_score': 4, 'links': ['https://stats.stackexchange.com/questions/14045', 'https://stats.stackexchange.com', 'https://stats.stackexchange.com/users/2817/']}
jdg_157439
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4632314
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Consider the following statement. What will be the value stored in b? int a=1;int b = a+=1 ? a+=1 : 10; I get the answer as 4. Can anyone explain how that works please. Now ...
It has to do with precedence. If you examine the following code (with the rightmost a+=1 changed for simplicity): #include <iostream>int main (void) { int a=1; int b = a+=1 ? 7 : 10; std::cout << b << std::endl; return 0;} you will see that the output is 8 , not 7 or 10 . That's because the statement: int b...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/4632314', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/359211/']}
jdg_180263
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
54427793
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 steps are: npm run build Then "homepage": "https://parthaaaaa.github.io/firstwebapp/","predeploy": "npm run build","deploy": "gh-pages -d build" in package.json file Then ...
You need to add your root path to the basename prop of BrowserRouter If you are not using BrowserRouter, add the following import BrowserRouter from 'react-router-dom/BrowserRouter'ReactDOM.render(( <BrowserRouter basename={process.env.PUBLIC_URL}> <App /> </BrowserRouter>), ...) process.env.PUBLIC_URL is is a ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/54427793', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/10972985/']}
jdg_136729
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
7118942
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 application I work on contains a web role: it's a simple web application. I needed to host the application in Windows Azure, so I created a web role. I actually want to...
EDIT 3/3/2013 - updated to reference UDP endpoints, Virtual Machines, and more languages EDIT 6/6/2013 - updated to reflect the discontinuation of VM Role, and update to web/worker role baseline OS images to Windows Server 2012 Good link by @Vladimir. A bit more clarification: All roles (web, worker) are essentially Wi...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/7118942', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/769091/']}
jdg_95985
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
33759102
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 what you're thinking, there's at least a million questions like this, asking about waves in borders, or waves at the edges of elements. However, I have a different que...
It's relatively easy to draw a border like that with a couple of pseudo-elements. First we draw the bottom of the wave: .wave{ background: linear-gradient(to right, sandybrown, chocolate); height: 50px; position: relative;}.wave::before{ content: ""; position: absolute; left: 0; bottom: 0; right: 0; backgro...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/33759102', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4329245/']}
jdg_132147
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1088411
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: There several questions about linear transformations and its respective matrices in some basis, but I'm particularly interested in the explicit definition of this relati...
Let $\Bbbk$ be a field and $\mathsf{Vec}_f$ the category of finite dimensional vector spaces over $\Bbbk$. Let also $\mathsf{Mat}$ be the category whose objects are natural number $n \ge 0$, morphism $n \to m$ are matrices $m \times n$ with entries in $\Bbbk$, and composition is matrix multiplication. There is a functo...
{}
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jdg_218321
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
658673
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 confused about this "homology with local coefficients" business. First, I am confused by its name. What is "local" about it? Second: Let $X$ be a topological space ...
To answer your first question, one way to define (co)homology with local coefficients is the following. Let $X$ be a space, let $\Pi(X)$ be the fundamental groupoid of $X$, ie. a category with objects points of $X$ and morphisms $x \rightarrow y$ given by homotopy classes of paths. A local coefficient system $M$ on $X$...
{}
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jdg_198381
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
72556
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 playing with Microsoft's TreeView control and I am trying to force a data update of some sorts while editing a node's label, similar to UpdateData for a grid. Basically,...
volatile is needed if you are reading from a spot in memory that, say, a completely separate process/device/whatever may write to. I used to work with dual-port ram in a multiprocessor system in straight C. We used a hardware managed 16 bit value as a semaphore to know when the other guy was done. Essentially we did th...
{}
{'log_upvote_score': 9, 'links': ['https://Stackoverflow.com/questions/72556', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/12333/']}
jdg_163262
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
920541
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 would like to ask for some help regarding the following indefinite integral, tried integration by parts and trigonometric substitution which both brought me to $\int\f...
$$\int \frac{\sec \theta}{\tan\theta} = \frac{\frac 1{\cos \theta}}{\frac {\sin\theta}{\cos\theta}}\,d\theta = \int \frac 1{\sin\theta}\,d\theta = \int \csc\theta \,d\theta$$ Alternatively, given $$\int\frac{dx}{x\sqrt{x^2+1}} = \int\frac{x\,dx}{x^2 \sqrt{x^2 + 1}}$$ $$\text{Put }\;x^2 + 1 = u^2\;\iff \;x^2 = u^2 - 1\;...
{}
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jdg_321310
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
10731087
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 would like to do something similar to this post , but in Python. I want to pass an argument from function1(abc) into function2 as type = (abc) . Pseudocode below: function1...
Based on your pseudocode: def function2(type): print typedef function1(abc, *args): print "something" function2(type=abc)>>> function1("blah", 1, 2, 3)somethingblah But based on your linked question, maybe you wanted to pass the varargs: def function2(type, *args): print type, argsdef function1(abc, *args): print ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/10731087', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1287714/']}
jdg_229323
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
6377524
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 ASP.NET MVC site connects to a WCF service to get data. The WCF service returns a data contract like this: [DataContract]public class Person{ [DataMember] public st...
Should my view model be referencing the "Person" data contract that is returned from the data service? No, avoid this, it's giving developers the false impression that they are using view models. I quite often see code like this when doing code reviews: public class MyViewModel{ public SomeDomainModel1 Model1 { get;...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/6377524', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/393276/']}
jdg_180046
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
40686928
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 three divs inside a parent div that are being spaced out using: display: flex;justify-content: space-between; However, the parent div has an :after on it which is maki...
Short Answer In CSS, there is currently no 100% reliable way to prevent pseudo-elements from impacting the justify-content: space-between calculation. Explanation ::before and ::after pseudo elements on a flex container become flex items. From the spec: 4. Flex Items Each in-flow child of a flex container becomes a fle...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/40686928', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4876049/']}
jdg_317604
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1614316
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: Problem: Prove that if 53 points are chosen from a $13\times 13$ grid then there will necessarily exist a rectangle whose vertices are among the 53 points chosen. My ...
Let's count, chosen one column, how many different pairs of points we can have in that column: this is $ {13 \choose 2}=78.$ Call $a_i$ the number of points that appear in one column, we have that$$a_1+a_2+...+a_{13}=53.$$In the column $i$ there are $a_i \choose 2$ different column-pairs of points, if we prove that$${a...
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jdg_382249
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
19269545
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 working on 'how to access elements randomly from an array in javascript'. I found many links regarding this. Like: Get random item from JavaScript array var item = items...
Try this non-destructive (and fast) function: function getRandom(arr, n) { var result = new Array(n), len = arr.length, taken = new Array(len); if (n > len) throw new RangeError("getRandom: more elements taken than available"); while (n--) { var x = Math.floor(Math.random() * len); ...
{}
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jdg_194550
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
75095
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Are there formulae for the nth derivatives of the following functions? $1)\quad$ $sin^{-1} x$ $2)\quad$ $tan^{-1} x$ $3)\quad$ $sec x$ $4)\quad$ $tan x$ Thanks. Now pro...
For $\arcsin(x)$, the $n$-th derivative is a hypergeometric function, see here . In terms of Legendre polynomial:$$\frac{\partial ^n\sin ^{-1}(z)}{\partial z^n}=\frac{(-i)^{n-1} (n-1)! }{\left(1-z^2\right)^{n/2}} P_{n-1}\left(\frac{i z}{\sqrt{1-z^2}}\right)$$ For $\arctan(x)$, see here . Here is a nice representative:$...
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jdg_363675
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
194846
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Basically, I'm trying to create an object of unique objects, a set. I had the brilliant idea of just using a JavaScript object with objects for the property names. Such as, s...
JavaScript objects can only use strings as keys (anything else is converted to a string). You could, alternatively, maintain an array which indexes the objects in question, and use its index string as a reference to the object. Something like this: var ObjectReference = [];ObjectReference.push(obj);set['ObjectReference...
{}
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jdg_240372
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2682678
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 $n=p_1^{2a_1}p_2^{2a_2}...p_n^{2a_n}$ Number of divisors of $n$: $(2a_1+1)(2a_2+1)...(2a_n+1)$ I saw an other similar question, but it is complicated. There should be...
It's much more simple than that. For each divisor $d$ of $n$, $\frac nd$ is another divisor of $n$. So the divisors of $n$ come in pairs except if there is a divisor $d$ such that $d=\frac nd$ . But this happens if and only if $n$ is a perfect square ($d=\frac nd\iff n=d^2$).
{}
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jdg_73953
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
47079114
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 documentation doesn't elaborate on the topic a lot. It says: Minimize the number of layers Prior to Docker 17.05, and even more, prior toDocker 1.10, it was important to ...
I work in a small team with a private Docker registry. We won't ever meet the 42 layers restriction and care mostly about performance and development speed. If so, should I minimize the number of docker layers? In your case, no. What needs to be minimized is the build time, which means: making sure the most general ste...
{}
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jdg_187661
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
22217176
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 a simple code String splitString = "122$23$56$rt";for(int i=0;i<splitString.split("$").length;i++){ System.out.println("I GOT IS :: "+splitString.split("$")[i]);}...
String.split() takes in regex as argument and $ is a metacharacter in Java regex API . Therefore, you need to escape it: String splitString = "122$23$56$rt";for(int i=0;i<splitString.split("\\$").length;i++){ System.out.println("I GOT IS :: "+splitString.split("\\$")[i]);} Other metacharacters supported by the Java r...
{}
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jdg_156558
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
804751
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 brush up on my design pattern skills, and I'm curious what are the differences between these patterns? All of them seem like they are the same thing - encapsul...
Your example terms; DataMapper, DAO, DataTableGateway and Repository, all have a similar purpose (when I use one, I expect to get back a Customer object), but different intent/meaning and resulting implementation. A Repository "acts like a collection, except with more elaborate querying capability" [ Evans, Domain Driv...
{}
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jdg_92329
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
47424966
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 property on my service class as so: articles: Observable<Article[]>; It is populated by a getArticles() function using the standard http.get().map() solution. How ca...
As you said in comments, I'd use a Subject. The advantage of keeping articles observable rather than storing as an array is that http takes time, so you can subscribe and wait for results. Plus both components get any updates. // Mock httpconst http = { get: (url) => Rx.Observable.of(['article1', 'article2']) }const a...
{}
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jdg_380918
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1791146
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 a set G with a binary operation $*$ is a group, if: $a*b\in G$, for all $a, b \in G$. $*$ is associative: $$(a*b)*c=a*(b*c) \\ \text{for all }a, b, c\in G.$$...
So we know that universal statements are true on empty domains, and existence statements are false. Being a group requires the existence of an identity element, and since the empty set cannot satisfy this (it has no elements) it is not a group.
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jdg_246639
PrimeIntellect/stackexchange-question-answering