source
string
task_type
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string
instruction_seed
string
gold_standard_solution
string
verification_info
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stackexchange
llm_judgeable_groundtruth_similarity
72652
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: Would it be ok to say that homeomorphism of topological spaces is an equivalence relation ? I know that there isn't a base "set of all topological space" but since I enc...
First, note that isomorphism is a map between two objects which preserves the structure. The more structure, the "less" isomorphisms you might have. Isomorphism is an equivalence relation: the identity map gives us reflexivity; the fact the inverse of an isomorphism is also an isomorphism gives symmetry; and by composi...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/72652', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/8875/']}
jdg_284857
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
7130025
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 followed the tutorial in this link - http://jimblackler.net/blog/?p=151&cpage=2#comment-52767 to access the internal android calendar database (even though it is not o...
Use the Instances table if you need to locate recurring events. The URIs for querying it are: instances/when/*/* - All instances between two times (milliseconds) instances/whenbyday/*/* - All instances between two times (days) instances/groupbyday/*/* - Same as whenbyday , but grouped by the start day The list of colum...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/7130025', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/887304/']}
jdg_307048
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2338656
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 saw this comment in a "what JS lib do you use" poll "@Xanti - yes, yes, modularization and abstraction in programming is a terrible practice. Functions that call other f...
I have found that too much abstraction can be hazardous to your productivity: A poorly chosen abstraction can be worse then no abstraction at all. If you need to read four or five different modules in order to understand how a simple algorithm works, then the abstraction barriers are probably not in the right places. ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/2338656', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1737290/']}
jdg_84953
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
9040
Below is a question asked on the forum cs.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I am tackling the halting problem right now and its remarkable theorem. My book states $\text{HALT}(x,y)$ is true if $\psi^{(1)}_{\mathcal P}$ is defined and conversely $\...
Let's walk through the proof given by [Davis94]. I am familiar with this text and have it in front of me. The HALT predicate is defined: $$HALT(x,y) \Longleftrightarrow \text{program number $y$ eventually halts on input $x$.}$$ Given this defintion of HALT, don't worry about how such a program would be defined. It i...
{}
{'log_upvote_score': 4, 'links': ['https://cs.stackexchange.com/questions/9040', 'https://cs.stackexchange.com', 'https://cs.stackexchange.com/users/2778/']}
jdg_85151
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
598642
Below is a question asked on the forum unix.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I have an array c_arr containing table columns with table aliases. But there are some elements in the array which are actually not columns and so they don't have the for...
Try this awk -F'\t' -v OFS='\t' '{$4=$4 "-" (++count[$4])}1' file.tsv This will store the occurence of each value of the 4th field in a counter array count (where the value of the 4th field is used as "index"), and append the pre-incremented value of that counter to the 4th field, separated by a dash. The above "simple...
{}
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jdg_94133
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
26184
Below is a question asked on the forum arduino.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I have some Arduino code that looks like: char packet = ser.read();switch(packet){ case 'a': someobj.somefunc(); break; case 'b': othero...
This all gets very much trickier than just an array of function pointers. Your functions are methods in unknown objects. As such you can't have one single type that stores pointers to the functions in different objects. The simple reason is that C++ changes the function prototype for you. For instance, it changes: cla...
{}
{'log_upvote_score': 4, 'links': ['https://arduino.stackexchange.com/questions/26184', 'https://arduino.stackexchange.com', 'https://arduino.stackexchange.com/users/4478/']}
jdg_359286
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
37660525
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I'm working on an app in xamarin froms that gets data from a service. What I'm trying to do is make the first name and last name fields display in the same label however it ...
*Update: With the release of Xamarin Forms 4.7, you can now use Multi-Bindings instead of creating a getter property. Using the first and last name example, you would do something like this: <StackLayout Padding="20,0,0,0" HorizontalOptions="CenterAndExpand" > <Label x:Name="FirstName"> <Label.Text> ...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/37660525', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4665575/']}
jdg_207157
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
350745
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 want to understand the poisson.test() function: poisson.test(x, T = 1, r = 1, alternative = c("two.sided", "less", "greater"), conf.level = 0....
This is an R function that implements a hypothesis test for differences in means. It is analogous to the ?t.test function, except where that assumes the data are normally distributed (in the population), this assumes the data are counts from a Poisson. The basic idea is that you have two counts from two different con...
{}
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jdg_188750
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
52146544
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have a list of routes in one object and want to import it in other file and have autocomplete for object properties. index.ts import allRoutes from './routes';allRoutes.rou...
Once you initialize the constant with type { [key: string]: string } , the original type is lost. If you want to preserve the original type but check that it is assignable to { [key: string]: string } , you can do this: function asStrings<T extends { [key: string]: string }>(arg: T): T { return arg;}const allRoutes =...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/52146544', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5319874/']}
jdg_303663
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
24936
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 have a personal server located in the US, I use it to execute code which requires a lot of resources. I sometimes have apache running on my server, to test php cod...
This is totally normal. There are thousands of bots on the internet that have the sole purpose of scanning every single IP address and attempting to infect it. Any information they discover will be put into a database somewhere, and there's nothing you can do about it. If you change your IP then that one will be disco...
{}
{'log_upvote_score': 4, 'links': ['https://security.stackexchange.com/questions/24936', 'https://security.stackexchange.com', 'https://security.stackexchange.com/users/16433/']}
jdg_211433
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1994
Below is a question asked on the forum softwareengineering.meta.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: This question on terminology was asked earlier. Should the "General Reference" close reason as outlined in this blog post and this Meta Stack Overflo...
This question got me thinking about a deeper issue on Stack Exchange - but first, let me answer the specific questions here: Should the "General Reference" close reason as outlined in this blog post and this Meta Stack Overflow answer be enabled here on Programmers? No , because those should already be covered by the O...
{}
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jdg_260393
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
6280585
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: What are these operators doing? (.) :: (b -> c) -> (a -> b) -> a -> c(<$>) :: Functor f => (a -> b) -> f a -> f b(<*>) :: Applicative f => f (a -> b) -> f a -> f b I don't ha...
I am also learning Haskell, and my recommendation is to have a look into Learn You a Haskell for Great Good! , and more precisely: for (.) read Function composition for <$> and <*> read Applicative functors In essence: (.) is function composition: if you have g :: a -> b and f :: b -> c then f . g is essentially f(g(x)...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/6280585', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/751960/']}
jdg_303736
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
644225
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 question is in regards to developing code for the iPhone / iTouch. What with Apple's transition to the Intel platform for their chip, it is obviously now possible to run t...
Yes, it's totally possible. I developed my first app on a Dell running the iATKOS OSX patch. Whether it's worth it or not really comes down to how difficult it is to get a hackintosh install (Kalyway / iATKOS) running on your PC. With some PCs it's trivial and everything works. For others it's a nightmare and your netw...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/644225', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/74562/']}
jdg_319191
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
643070
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: On the assumption that the E12 values were chosen to be equally spaced logarithmically between 10 and 100 ohms we get the ideal values of: 10.00 12.12 14.68 17.78...
Short Note There are good reasons and a relatively long history, if you want to scoop up sporadic early attempts. It's called rationalization and its activity really picked up after WW II and the new-found need for manufacturing standards. Soon after WW II the National Bureau of Standards [NBS] (now NIST) engaged a mul...
{}
{'log_upvote_score': 6, 'links': ['https://electronics.stackexchange.com/questions/643070', 'https://electronics.stackexchange.com', 'https://electronics.stackexchange.com/users/299022/']}
jdg_219321
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
63425
Below is a question asked on the forum unix.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I have read about diff and patch but I can't figure out how to apply what I need.I guess its pretty simple, so to show my problem take these two files: a.xml <resources>...
You don't need patch for this; it's for extracting changes and sending them on without the unchanged part of the file. The tool for merging two versions of a file is merge , but as @vonbrand wrote, you need the "base" file from which your two versions diverged. To do a merge without it, use diff like this: diff -DVERSI...
{}
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jdg_304558
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
9811
Below is a question asked on the forum networkengineering.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Okay, so I'm studying for the Network+ exam, and I've gone over the OSI model about a million times, and I understand most of it fairly well, and my studie...
I understand that when data is sent to another network, it has to use logical addresses, or IP addresses, to get there Like the moderator said, IP and mac addresses are used on ethernet, so you are confused and don't understand how this works. If a PC-A on ethernet sends IPv4 traffic to an PC-B on another network, the...
{}
{'log_upvote_score': 4, 'links': ['https://networkengineering.stackexchange.com/questions/9811', 'https://networkengineering.stackexchange.com', 'https://networkengineering.stackexchange.com/users/6427/']}
jdg_204566
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
550156
Below is a question asked on the forum stats.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Suppose I draw $n$ samples $x_1...x_n$ of a random variable $x$ , which is normally distributed with an unknown mean $\mu$ and variance $\sigma^2$ . From those samples,...
The distribution of $x_{n+1}$ conditional on $\overline x=(x_1 +\cdots +x_n)/n$ and $s^2 = \big((x_1-\overline x)^2+\cdots+(x_n-\overline x)^2\big)/(n-1)$ is $\operatorname N(\mu,\sigma^2),$ since the observations $x_1,\ldots,x_n,x_{n+1}$ are independent. Thus I suspect that what you actually want is the distribution o...
{}
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jdg_96520
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
632739
Below is a question asked on the forum electronics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I'm trying to understand this paper . It describes a counter using a ring of thyratrons. I don't understand what the capacitors C p , C q , … , C t do. It looks l...
The capacitors couple the trigger source to the grids of the thyratrons. Without the capacitors they would not sense the trigger signal or count it. The trigger signal is expected to be a pulse that overcomes the negative bias provided by the batteries to cause the thyratron with the most positive grid to go into cond...
{}
{'log_upvote_score': 4, 'links': ['https://electronics.stackexchange.com/questions/632739', 'https://electronics.stackexchange.com', 'https://electronics.stackexchange.com/users/320714/']}
jdg_343046
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8502434
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 saw this answer of how to join String[] to comma separated string. However I need the util to join the string in the array only if the values are not empty. What is the bes...
In Java 8 you can use Stream: List<String> list = Arrays.asList("I", " ", "love", null, "you"); String message = list.stream().filter(StringUtils::isNotBlank) .collect(Collectors.joining(", ")); System.out.println("message = " + message);
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/8502434', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/264419/']}
jdg_280713
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
502305
Below is a question asked on the forum serverfault.com. Provide a good and informational response to it like a helpful human would. Question: I've done as much research as I could on this without digging right off in the kernel source. There seems to be a large amount of disinformation/incorrect info on the subject,...
You have two main questions here: 1. Strictly IPv4 speaking, is port exhaustion actually possible? Yes. Take, for example, a load balancing router sending all connections to a NAT IP address. This is likely to happen when you have many SRC IP s connecting to the bottleneck of a single DST IP . This means that your we...
{}
{'log_upvote_score': 5, 'links': ['https://serverfault.com/questions/502305', 'https://serverfault.com', 'https://serverfault.com/users/149214/']}
jdg_325792
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
20104871
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 helper for my template. Here's the code: Handlebars.registerHelper('splitQuote', function (string) { if (string.indexOf('|') !== -1) { return strin...
You have to mark the string as html in your helper if you want to Handlebars not to escape it. Use Handlebars.safeString to do this. The below should suit your needs Handlebars.registerHelper('splitQuote', function(string) { if (string.indexOf('|') !== -1) { return new Handlebars.SafeString(string.replace('|'...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/20104871', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/907143/']}
jdg_253392
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
445198
Below is a question asked on the forum electronics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I'm looking at this design For a split supply. I get that the thermistors are there to limit the inrush current, but I don't understand the purpose of C9 and how ...
In addition to Autistic's correct answer , the value of C9 (X rated) is a compromise between consuming excessive AC current at 60 Hz while suppressing the noise voltage spikes by about 3 dB to 6 dB at the transformer primary if power is cut off when the 60 Hz sine wave is at or close to peak current. C9 does NOT behave...
{}
{'log_upvote_score': 5, 'links': ['https://electronics.stackexchange.com/questions/445198', 'https://electronics.stackexchange.com', 'https://electronics.stackexchange.com/users/143266/']}
jdg_234417
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
15429
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: How is positive charge delocalized? I understand how negative charge can be delocalized. Electrons are mobile and they can move around. But what about positive char...
There are no protons moving - protons cannot move in resonance structures. In resonance structures all nuclei must remain fixed, only electrons can move. As you progress from the top-left resonance structure to the top-middle resonance structure you have taken the two pi electrons in what I'll call the 3-4 bond (posi...
{}
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jdg_187637
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3045794
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: Solve the system of equations in the set of real numbers: $$\begin{cases} \frac1x + \frac1{y+z} = \frac13 \\ \frac1y + \frac1{x+z} = \frac15 \\\frac1z + \frac1{x+y} = \f...
Let $x+y+z=m$ Adding all the equations, we get, $xy+yz+zx=\frac{3m+5m+7m}{2}=\frac{15m}{2}$ Subtracting each equation one by one from this, we get, $xy=\frac{m}{2}$ $yz=\frac{9m}{2}$ $zx=\frac{5m}{2}$ Dividing by $ xyz$ , we get, $$\frac{1}{x}:\frac{1}{y}:\frac{1}{z}=9:5:1$$ $$\Longrightarrow x:y:z=\frac{1}{9}:\frac{1}...
{}
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jdg_354961
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
19148702
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have the following simple R code: disciplines <- c("A","C","B","D","E")# To stop ggplot from imposing alphabetical ordering on x-axisdisciplines <- factor(disciplines, leve...
For the first three segments of the confidence interval, the top end of the range is at least partially out of bounds (the bounds being [-1, 1], not the slightly expanded range on the axes). ggplot 's default behavior is to not display any object that is partially out of bounds. You can fix this by adding oob=scales::...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/19148702', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1011791/']}
jdg_138711
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
21186238
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 get the url from web api in my view? Example (from the msdn-blog ): [RoutePrefix("reviews")]public class ReviewsController : ApiController{ // eg.: /reviews [...
Generating links to Web API routes always require a RouteName , so you should have something like below: [Route("{reviewId}/edit", Name="EditView")]public IHttpActionResult Edit(int reviewId) { ... } You can then generate a link like /reviews/1/edit to Web API. Url.RouteUrl(routeName: "EditView", routeValues: new { htt...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/21186238', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/662993/']}
jdg_145454
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2888178
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 taking a first course in Abstract Algebra during the summer and have a question about how groups work. Let's say I have a group $G$ and an element $h$ that is not i...
What is $h$? If $h$ isn't an element of $G$ then it's unclear what the product $gh$ means. One situation in which it does make sense is when $G$ is a subgroup of a group $H$, and $h \in H \setminus G$. Then $gh$ makes sense because $H$ is a group, and the product is with respect to the group operation of $H$. In this c...
{}
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jdg_354533
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
11182052
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 learning Ruby and I've seen a couple of methods that are confusing me a bit, particularly to_s vs to_str (and similarly, to_i / to_int , to_a / to_ary , & to_h / to_hash ...
Note first that all of this applies to each pair of “short” (e.g. to_s / to_i / to_a / to_h ) vs. “long” (e.g. to_str / to_int / to_ary / to_hash ) coercion methods in Ruby (for their respective types) as they all have the same semantics. They have different meanings. You should not implement to_str unless your object ...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/11182052', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/121993/']}
jdg_351162
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8477868
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 to cope with an ugly list called ul that looks like this: [[1]][[1]]$param name value "Section" "1" [[1]]$param name value "field" "1" [[1]]$para...
There is probably a better solution, but this should get you started. First, we load some libraries R> library(plyr)R> library(reshape2) Then handle your lists in two parts. ##lapply applies ldply to each list element in turnul1 = lapply(ul, ldply)##We then do the same againdd = ldply(ul1)[,2:3] Next we label output ac...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/8477868', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/377118/']}
jdg_343433
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
31179155
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 make a color background but i can't seem to find anything useful for setting the image as a background and would be really grateful for any help with my code. H...
canvas.before: Rectangle: pos: self.pos size: self.size Image: source: "lights.png" Image is a widget, you can't place it on the canvas. What you *can do is either just set a source for the Rectangle: canvas.before: Rectangle: pos: self.pos siz...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/31179155', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5072765/']}
jdg_173210
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1381890
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 old ASP.NET application. We send out httpWebRequest to a remote REST server and retrieve XML back, most of the time the application works fine. Recently, we got som...
Everything is passed by value in C#. However, when you pass a reference type, the reference itself is being passed by value , i.e., a copy of the original reference is passed. So, you can change the state of object that the reference copy points to, but if you assign a new value to the reference you are only changing...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/1381890', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/168164/']}
jdg_138418
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1940797
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 Taylor Series for $\frac{1}{\sin(z)}$ and $\frac{1}{\tan(z)}$ Note that $z$ is complex, $z = x+iy$ Now provide the response and nothing else.
You can assume that the nested radical can be expressed in $a+b\sqrt{2}$ form. More specifically, we have $$\sqrt[m]{A+B\sqrt[n]{C}}=a+b\sqrt[n]{C}\tag{1}$$With your question, we have $$\sqrt[3]{7+5\sqrt{2}}=a+b\sqrt{2}\tag{2}$$ Cubing both sides, we get $$7+5\sqrt{2}=(a^3+6ab^2)+(3a^2b+2b^3)\sqrt{2}\tag{3}$$And equati...
{}
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jdg_361306
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
202749
Below is a question asked on the forum unix.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I've got an USB pen drive and I'd like to turn it into a bootable MBR device. However, at some point in its history, that device had a GPT on it, and I can't seem to get...
If you don't want to fiddle with dd , gdisk can do: $ sudo gdisk /dev/sdbGPT fdisk (gdisk) version 0.8.8Partition table scan: MBR: protective BSD: not present APM: not present GPT: presentFound valid GPT with protective MBR; using GPT.Command (? for help): ?b back up GPT data to a file<snip>w write table to dis...
{}
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jdg_259043
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
30511331
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Given a relative path: PathBuf::from("./cargo_home") Is there a way to get the absolute path? Now provide the response and nothing else.
Rust 1.5.0 added std::fs::canonicalize , which sounds pretty close to what you want: Returns the canonical form of a path with all intermediate components normalized and symbolic links resolved. Note that, unlike the accepted answer, this removes the ./ from the returned path. A simple example from my machine: use std:...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/30511331', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1254034/']}
jdg_263678
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
52795561
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 load the json file to pandas data frame.I found that there were some nested json.Below is the sample json: {'events': [{'id': 142896214, 'playerId': 37831, ...
If you are looking for a more general way to unfold multiple hierarchies from a json you can use recursion and list comprehension to reshape your data. One alternative is presented below: def flatten_json(nested_json, exclude=['']): """Flatten json object with nested keys into a single level. Args: ...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/52795561', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/9561497/']}
jdg_208894
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
677590
Below is a question asked on the forum unix.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I have written this script: #!/bin/bashDAYSOLD="2"users_dir="/users"cd $users_dirdate >> cleanup.log; du -h --max-depth=1 | sort -hr >> cleanup.logfind $users_dir -mtim...
-mtime "+$days" selects files whose age (based on last modification time) rounded down to an integer number of days is stricktly greater than $days . A file that is 2 days and 23 hours old would not be selected by -mtime +2 because, it's considered to be 2 day old which is not greater than 2 . So you need: find "$users...
{}
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jdg_134766
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
25472810
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 a bit confused by the Literal keyword and why it is necessary in F#. Reading the docs, it sounds to me that [<Literal>] is used to define a constant, however I am a bit ...
In your example, x is an immutable value that is assigned during runtime (but NOT evaluated lazily), whereas y is assigned during compiletime. As an example, let myDLL = "foo.dll"[<DllImport(myDLL, CallingConvention = CallingConvention.Cdecl)>]extern void HelloWorld() will not work, because DllImport is an attribute an...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/25472810', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/483036/']}
jdg_150194
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
84216
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 $(\Omega, \mathcal{F}, P)$ be a probability space, on which$\mathcal{F}_t$ is filtration satisfying general conditions.$W_t$ isa standard Brownian motion.Let $Y_t$ be a ma...
Here's an explicit construction that gives a counterexample. For simplicity let $c=0$ (not important). First, let $\alpha>0$ and consider the probability that a standard Brownianmotion started at 0 hits 0 at some time in the interval$(\alpha t, \alpha t+t)$.Then (1) this probability does not depend on $t$ (by Brownian ...
{}
{'log_upvote_score': 4, 'links': ['https://mathoverflow.net/questions/84216', 'https://mathoverflow.net', 'https://mathoverflow.net/users/5656/']}
jdg_93548
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
37241662
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 problem that doesn't make much sense to me. I'm mapping an array of objects that have a "name" and a "href" property. let appleIcons = _.map(appleIcons, appleIcon =>...
Since Webpack is running in build-time, it can't figure out which modules to bundle when the name is a dynamic variable. You can give it hints by specifying part of the path (for example, if you know all the modules are in a single directory). This answer can help: https://stackoverflow.com/a/33048000 (Also check requi...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/37241662', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1020551/']}
jdg_230886
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
369829
Below is a question asked on the forum serverfault.com. Provide a good and informational response to it like a helpful human would. Question: I've got a linux box set up with 2 network cards to inspect traffic going through port 80. One card is used to go out to the internet, the other one is hooked up to a networki...
The issues you're seeing are the same that prevent the use of multiple certificates on a single IP address/port (without using Server Name Indication) . In plain HTTP, your transparent proxy can tell which host the client wants to connect to by looking into the Host header. When the HTTPS MITM transparent proxy gets th...
{}
{'log_upvote_score': 5, 'links': ['https://serverfault.com/questions/369829', 'https://serverfault.com', 'https://serverfault.com/users/114109/']}
jdg_271720
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
34915836
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 that Hashable is inherited from Equatable, but can you give me an example that requires Hashable, not just Equatable. Thanks! Now provide the response and nothing els...
When you conform to Hashable , you provide a method that returns the hash value of self . When you conform to Equatable , you provide a method that returns whether the given object and self are equal. They seem to serve two very different purposes, why does Hashable inherit Equatable ? Because the hash values for two e...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/34915836', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3522482/']}
jdg_283540
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
21821937
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 fumbling around with different client side technologies, like AngularJS, EmberJS, even trying to use straight JQuery and figure out how to use ReactJS with it. That...
If you're having a REST API as the back end, then you must have implemented oAuth as an authentication mechanism. That is, when your user logs in, using a username and a password, you exchange that data with an authentication token. This authentication token is sent your server with each and every API call and your bac...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/21821937', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3317868/']}
jdg_262959
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3888529
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 the code below, pathToNonDatabase is the path to a simple text file, not a real sqlite database. I was hoping for sqlite3_open to detect that, but it doesn't ( db is not ...
sqlite opens databases lazily. Just do something immediately after opening that requires it to be a database. The best is probably pragma schema_version; . This will report 0 if the database hasn't been created (for instance, an empty file). In this case, it's safe work with (and run CREATE TABLE , etc) If the database...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/3888529', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/127819/']}
jdg_331943
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1418502
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: Is there any online calculator that can calculate $$\dfrac{\sum_{k=570}^{770} \binom{6,700}{k}\binom{3,300}{1,000-k}}{\binom{10,000}{1,000}}$$ for me? There are a few bi...
Typing in the following input into WolframAlpha: Sum[Binomial[6700,k]Binomial[3300,1000-k]/Binomial[10000,1000],{k,570,770}] yields an exact result followed by the approximate decimal value, which to 50 digits is $$0.99999999999855767906391784086205133574169750988724.$$ The same input in Mathematica will yield the same...
{}
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jdg_290646
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8319862
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Can I rely on Referer HTTP header in my web application? I want to check if the user came from a particular domain/webpage, and if he or she did, then change the layout of my...
As a general rule, you should not trust the HTTP Referer Header for any matter of importance, except for purely informative statistical analysis of who your visitors are or when looking for patterns of behaviour among the users of your own site. Under no circumstance it is advisable that you use this header for AAA (Au...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/8319862', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/257942/']}
jdg_378866
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4047883
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 webpage that needs to selectively show or hide a substantial number of controls. Each control's visibility is determined based on which of 3 conditions are true. So,...
Control1.Visible = A And B And Not CControl2.Visible = Not A And B And CControl3.Visible = A And C... Note that this form looks like the description of the rules you provided. This is a good way to think about most problems: "How can I make the code look like my description of the problem?" EDIT: If A, B and C represen...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/4047883', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/64279/']}
jdg_135823
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
14273280
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 asked a question before: How can I control z-index of canvas objects? and we reached to a solution that may not be a good one for complicated situations. I found that ...
It's not that canvas doesn't have a z-index, it's that canvas doesn't keep objects drawn contrary to the HTML page. It just draws on the pixel matrix. There are basically two types of drawing models : object ones (usually vector) : objects are kept and managed by the engine. They can usually be removed or changed. They...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/14273280', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1935534/']}
jdg_185784
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1568600
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 reading over my AI textbook and I'm curious about what the difference is between monotonicity and admissibility of heuristics (I know they aren't mutually exclusive). As...
Russel and Norvig, 2ed page 99 says: The second solution is to ensure that the optimal path to any repeated state is always the first one followed -- as is the case with uniform-cost search. This property holds if we impose an extra requirement on h(n) , namely the requirement of consistency (also called monotonicity )...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/1568600', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2635/']}
jdg_84707
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
15882045
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 set a listener that listens for all focus events. In particular I am trying to listen for anytime an input or textbox gains focus. Per some research, the widel...
As some events (focus, blur, change) do not bubble up, I would recommend you to try Event Capturing instead. First of all onfocus will not work for this, so you have to use addEventListener where you are able to specifiy the used delegation mode in the third argument. Look at MDN for the use of addEventListener . And t...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/15882045', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/838151/']}
jdg_121200
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
14698119
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: We are using the developers python guide with Python data 2.15 library and as per example stated for app engine.createSite("test site one", description="test site one", sourc...
Deadline exceeded while waiting for HTTP response from URL is actually a DeadlineExceededError . When you are making a HTTP request, App Engine maps this request to URLFetch. URLFetch has its own deadline that is configurable. See the URLFetch documentation . It seems that your client library catches DeadlineExceededEr...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/14698119', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2041421/']}
jdg_178530
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
49697449
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 enable samesite for my web application which runs on wildfly as.Checked standalone.xml however could not find an appropriate tag within <servlet-container name="def...
Spring Boot 2.6.0 Spring Boot 2.6.0 now supports configuration of SameSite cookie attribute: Configuration via properties server.servlet.session.cookie.same-site=strict Configuration via code import org.springframework.boot.web.servlet.server.CookieSameSiteSupplier;import org.springframework.context.annotation.Bean;imp...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/49697449', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1841447/']}
jdg_126995
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
46541
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: Why is the pullback not just defined as in the case of the category of sets http://en.wikipedia.org/wiki/Pullback_%28category_theory%29 Perhaps there are some issues wit...
There are a few problems here: Not every category is sets with additional structure. Many familiar examples are: Groups, topological spaces, and just about every other "elementary" examples of categories that you came across when you first learned what a category was. These categories are all examples of concrete cat...
{}
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jdg_373794
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1408120
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 call my generic method with a given type object. void Foo(Type t){ MyGenericMethod<t>();} obviously doesn't work. How can I make it work? Now provide the respo...
Your code sample won't work, because the generic method expects a type identifier, not a an instance of the Type class. You'll have to use reflection to do it: public class Example { public void CallingTest() { MethodInfo method = typeof (Example).GetMethod("Test"); MethodInfo genericMethod = method...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/1408120', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/44952/']}
jdg_205617
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
958309
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 does one prove that the decomposition of a function $f(x)=f_{even}(x)+f_{odd}(x)$ on a sum of even and odd functions is unambiguous? I'm unsure of where to begin. Pe...
Suppose that$$f(x)=E(x)+O(x),$$ for all $x$, where $E(x)$ is even and $O(x)$ is odd. Then for all $x$,$$f(-x)=E(-x)+O(-x)=E(x)-O(x).\tag{2}$$ Add. We get $f(x)+f(-x)=2E(x)$, and therefore $E(x)=\frac{f(x)+f(-x)}{2}$.
{}
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jdg_322856
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
515259
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 set the current line number to a variable in Elisp but keep getting a void-variable error! The code is: (setq x what-line) I'd also like to set the total numbe...
(setq x (line-number-at-pos) y (line-number-at-pos (point-max))) How to find out about this kind of thing? Try M-x find-function RET what-line RET to see the source code of what-line . Reading simple.el (the file in which what-line is defined) is a good way to get familiar with elementary Elisp programming.
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/515259', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/62831/']}
jdg_239446
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
18534561
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 thought that the initial value would restore initially rendered styles (as applied by a browser's internal user-agent stylesheet). Example: div.inline { display: inline;}d...
The initial value (not attribute) denotes the initial value of the property, as defined in CSS specifications: “The ‘initial’ keyword represents the specified value that is designated as the property's initial value.” Thus, its meaning depends on the property, but not on anything else, e.g. not on the browser or on the...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/18534561', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1398298/']}
jdg_246259
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
14803222
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 languages like SML, Erlang and in buch of others we may define functions like this: fun reverse [] = []| reverse x :: xs = reverse xs @ [x]; I know we can write analog ...
It really depends on what you mean by fundamental . If you are really asking " if there is a technical showstopper that would prevent to implement this feature ", then I would say the answer is no . You are talking about desugaring, and you are on the right track here. All there is to do is to basically stitch several ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/14803222', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/298389/']}
jdg_273049
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2396556
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 seems to be an often repeated, "folklore-ish" statement, that diffeomorphism is an equivalence relation on smooth manifolds, and two smooth manifolds that are diffeom...
The counterexample just shows that two diffeomorphic smooth structures on the same set $X$ do not need to share a common atlas. However, in any case, two diffeomorphic structures cannot be distinguished in the smooth category, in the sense that every true statement in the smooth category still remains true after repla...
{}
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jdg_373972
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
19753910
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 quite new to Android native development, and I'm trying to figure out how to customize the IME action buttons. I've looked at the Google documentation, but I can find ver...
It's actually up to the input method app, not the Android framework itself, to decide what to do with the values you set. The Android framework just passes the values you set through to the input method, which can then choose what buttons to show on the keyboard or an "extracted" EditText in full-screen view. The Andro...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/19753910', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2141516/']}
jdg_238456
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
28687446
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: ReSharper suggests me to make type parameter T contravariant by changing this: interface IBusinessValidator<T> where T: IEntity{ void Validate(T entity);} Into this: inter...
So what is different between <T> and <in T>? The difference is that in T allows you to pass a more generic (less derived) type than what was specified. And what is the purpose of contravariant here? ReSharper suggests to use contravariance here because it sees the you're passing the T parameter into the Validate method...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/28687446', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2774724/']}
jdg_290696
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
15958446
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 remote git repository is just cloned to a local box using Atlassian SourceTree . Even no files have really been modified in the work tree, Atlassian lists a bunch of files ...
I'm one of the SourceTree developers (I develop the Mac version of the product, actually), so hopefully I can be of some help. Windows machines convert CRLF to LF when committing and LF to CRLF when checking out. autocrlf makes sure everything is LF within the repository. The option text = auto is the one we're interes...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/15958446', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/769144/']}
jdg_228036
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3221654
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 accepting user input with a decimal in Python I'm using: #will input meal subtotal def input_meal(): mealPrice = input('Enter the meal subtotal: $') mealPrice...
There's a few ways to do this depending on how you want to hold the value. You can use basic string formatting, e.g 'Your Meal Price is %.2f' % mealPrice You can modify the 2 to whatever precision you need. However, since you're dealing with money you should look into the decimal module which has a cool method named q...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/3221654', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/388683/']}
jdg_233426
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
53843
Below is a question asked on the forum physics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I want to find out the linear velocity of a point in 3D space, (Euclidean), given: Its position Its angular velocity The point it's rotating around (fulcrum) (This is...
Let $\vec r_0(t)$ denote the point around which the object is rotating and $\vec r(t)$ the position of the object. Then the fact that the particle is rotating around the point $\vec r_0(t)$ can be formalized by the mathematical statement that$$ \vec r(t) - \vec r_0(t) = R(t) \vec c$$for some constant vector $\vec c$ ...
{}
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jdg_356676
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8829
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 have a problem with defining a function and most of time I get confused by Set or = and SetDelayed or := . I read the help section but I didn't find out what th...
References and intro First, let me point out that = is shorthand for Set and := for SetDelayed ; this facilitates searching the docs. Also, as Simon Woods points out in a comment to the question, there is a tutorial on this. Explanation The basic distinction is this: y[x_]=expr means evaluate expr , then whenever you s...
{}
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jdg_168462
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8687723
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 display an image in pyqt so,i used a label and the pixmap option,and the scaledContents but the image is distorted.Should I use another widget or do something else?...
Use the scaled(const QSize, Qt::AspectRatioMode, Qt::TransformationMode) method of the pixmap, it has an option Qt::KeepAspectRatio that does not deform the image. The default is to ignore the aspect ratio Also, note that the scaled method returns the scaled pixmap , so it must be used this way: myPixmap = QtGui.QPixma...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/8687723', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/896317/']}
jdg_366751
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
181563
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 often hear people say that C++ programmers should expose their library's/product's public API as a C API. What does that mean and what are the advantage...
It does mean that the part of your library that is exposed as an interface only uses the C "part" of the language, so you're not exporting classes or similar, only functions, PODs and structs containing PODs. Plus, you have to disable the C++ name mangling, usually achieved by marking functions as extern "C" . A typica...
{}
{'log_upvote_score': 6, 'links': ['https://softwareengineering.stackexchange.com/questions/181563', 'https://softwareengineering.stackexchange.com', 'https://softwareengineering.stackexchange.com/users/48441/']}
jdg_195792
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
22928951
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I am trying to run 3 database queries in parallel but I'm not sure that I am doing it correctly. I have made 3 functions which each make a query to the database. private stat...
You will have to change the last part of the code to make it run in parallel: var taskAccountCode = getAccountCodeAsync(deviceId);var taskDeviceType = getDeviceTypeAsync(deviceId);var taskUsername = getUserNameAsync(userId);await Task.WhenAll(taskAccountCode, taskDeviceType, taskUsername);var accountCode = taskAccountC...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/22928951', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1331971/']}
jdg_294351
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
45763
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: Is there a way to numerically integrate a vector function defined via Piecewise ? Example: test[s_] := Piecewise[{ {{s, s^2, s^3}, s < -2}, ...
I suppose I dislike mixing structural operations - like Thread - inside algebraic expressions. My objections are two-fold: 1) I prefer to keep Mathematica operations distinct from actual algebra for aesthetic reasons. 2) If an expression is cut and pasted and changed, operations like Thread can all too easily...
{}
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jdg_346167
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1081365
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 or disprove the statement$$ III:=\sum_{k=-\infty}^\infty\delta_k\in \mathscr{S}'(\mathbb{R}^n)$$where $\delta_k\varphi:=\varphi(k),\,\,\forall\varphi\in\mathscr{S}...
Yes, it is. Notice that$$|\langle III,\varphi \rangle| = \left |\sum_{k\in \mathbb Z} \varphi(k)\right| = \left |\sum_{k\in \mathbb Z} (1 + k^2)\frac{\varphi(k)}{1 + k^2}\right|\leq \sup_{x\in \mathbb R} |(1 + x^2) \varphi(x)| \sum_{k\in \mathbb Z} \frac{1}{1 + k^2} $$Also $\sum_{k\in \mathbb Z} \frac{1}{1 + k^2}<\inft...
{}
{'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/1081365', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/74200/']}
jdg_270739
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3318220
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: Lecture Notes Let $G$ be a group. Below, the author talks about strictly $\Bbb{Z}$ -group rings. Definition 1.1.3. (i) The augmentation map is the homomorphism $\vareps...
To elaborate on Arnaud's fine (and more general "group ring functor") answer: $\epsilon$ is defined, on generators, by $$\epsilon : \gamma \mapsto 1,$$ for all $\gamma \in G$ . In particular, if $g$ and $h\in G$ , then $\gamma = gh\in G$ , so that by definition $\epsilon (gh) = 1$ , $\epsilon (g) =1$ and $\epsilon (h) ...
{}
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jdg_344368
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
42581173
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 struct that I want to initialize with a slice of structs in golang, but I'm trying to figure out if there is a more efficient version of appending every newly genera...
You can use make() to allocate the slice in "full-size", and then use a for range to iterate over it and fill the numbers: tmp := make([]LuckyNumber, 10)for i := range tmp { tmp[i].number = rand.Intn(100)}a := Person{tmp}fmt.Println(a) Try it on the Go Playground . Note that inside the for I did not create new "inst...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/42581173', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2636317/']}
jdg_246357
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
64735881
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 a nest.js beginner and I am trying to implement Axios with my code and this error occurs and I would like to fix it. --> starting at object with constructor 'ClientReque...
First of all nest.js provides you HttpService out of the box that you may inject it through DI: https://docs.nestjs.com/techniques/http-module Second - you are trying to store whole response object which is complex data structure and contains circular dependencies as it stated in error message (TypeError: Converting ci...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/64735881', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/12297980/']}
jdg_83048
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
22874387
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 TableView for which I've defined my own itemDelegate. Now, from within this delegate I can access the value for the column using styleData.value, but I'd also need t...
There is some documentation missing. Within the item delegate you can access the following (taken from the source code of TreeView.qml ): styleData ( see documentation ) model (currently not documented) modelData (currently not documented, not sure about this but I guess it's similar to ListView ) (By the way, what's a...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/22874387', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/60810/']}
jdg_198788
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1741923
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: Hilbert Space: $\mathcal{H}$ Dense Subspaces:$$\mathcal{D},\mathcal{D}'\leq\mathcal{H}:\quad\overline{\mathcal{D}},\overline{\mathcal{D}'}=\mathcal{H}\not\Rightarrow\mat...
Let $\mathcal{H}=L^2[0,1]$. Let $\mathcal{D}$ be the subspace of polynomials on $[0,1]$. Let $\mathcal{D}'$ be the subspace generated by $\{ \sin(n\pi x) \}_{n=1}^{\infty}$. Both are dense, and they have nothing in common except the $0$ vector.
{}
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jdg_262145
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
6003019
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 JTable with a custom Cell Renderer for multi-line cells. Everything is ok, the JTable is painted ok in the screen and I am very happy with it, but ast night when I t...
Sometime Ago i wrote a patch to fix this behavior. the key is patch the code of the TCustomImageList.DoDraw function, the technique used is similar to the used by the delphi-nice-toolbar app, but instead of patch a bpl IDE in this case we patch the function in memory. Just include this unit in your project unit uCustom...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/6003019', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/744734/']}
jdg_157030
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1994963
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 $C,D$ be categories and $F:C\to D,G:D\to C$ be such that $F$ is a left adjoint of $G$. Prove that $F$ is fully faithful iff the unit is an isomorphism. (This is an e...
$F$ is fully faithful iff the map $\text{Hom}(x, y) \to \text{Hom}(Fx, Fy)$ is an isomorphism. By adjunction, the map $\text{Hom}(Fx, Fy) \to \text{Hom}(x, GFy)$ is always an isomorphism. Now use the Yoneda lemma; this proves both directions simultaneously.
{}
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jdg_115598
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
183658
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 am partially responsible for some resources protected by a 4-dial combination lock like this one : There are two things that people will usually do after they've l...
I would recommend setting it to 0000 or some other specified combination (doesn't really matter what). "Mashing around the dials" is a little vague, but I would guess based on my own behavior that people would tend to move most or all of the dials at once, which would create a strong correlation between the current com...
{}
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jdg_197705
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
268383
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: It is well known that an accelerometer (or any other object for that matter) in a gravitational orbit will register nearly zero acceleration. According to this answer...
There is indeed a nett force on the body owing to the electrostatic attraction / repulsion. Therefore, there is nonzero four acceleration, and the body will have a different orbit from the ones defined by the spacetime geodesics for the metric describing the massive body's neighborhood. From the standpoint of an obser...
{}
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jdg_127063
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1432064
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I'm writing a TFS Checkin policy, which checks if our source files containing our file header. My problem is, that our file header contains a special character "©" and unfort...
Use Encoding.Default : string content = File.ReadAllText(pendingChange.LocalItem, Encoding.Default); You should be aware, however, that that reads it using the system default encoding - which may not be the same as the encoding of the file. There's no single encoding called ANSI, but usually when people talk about "the...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/1432064', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/90745/']}
jdg_286246
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2531
Below is a question asked on the forum astronomy.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Does our Sun have a counterpart, i.e., is it a part of a binary-system? If so, how does the other star look like and where is it? Now provide the response and noth...
There is no observational evidence that the sun is a member of a binary (trinary, or more) star system, where "star" means an object that is at least ~80 times the mass of jupiter and emits energy/light via standard hydrogen fusion. Some evidence that people point to is that the majority of stars in the Galaxy (perhaps...
{}
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jdg_269732
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
14005549
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 Java and kind of new to programming (I know diving straight into Java probably wasn't the greatest idea.) and I've been getting an error consistently no matter ho...
Thread.sleep can throw an InterruptedException which is a checked exception. All checked exceptions must either be caught and handled or else you must declare that your method can throw it. You need to do this whether or not the exception actually will be thrown. Not declaring a checked exception that your method can t...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/14005549', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1923982/']}
jdg_293935
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
521337
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: Is there a continuous function on R such that $f(f(x))=e^{-x}$? I have tried to take derivative of the two sides,but I can't get anything I want.what can I do? Now prov...
No. Hint: An injective continuous function is monotonic and for any monotonic $f(x)$ the function $f(f(x))$ should be increasing.
{}
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jdg_238383
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
321822
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: Here are two links which briefly describe the difference between the two: stateless , stateful In short in the "Stateless" scenario we bind views directly...
Yes, it is a code smell (in lots of cases). I think it is difficult to replace if-else with virtual methods in tools In your example, it is quite simple to replace the if/else by virtual methods: class Tool{ public: virtual int GetAttack() const=0; virtual int GetDefense() const=0;};class Sword : public Tool{ //...
{}
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jdg_292348
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
31068678
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 migrated my application from JSF 1.2 to 2.2. It used XML namespaces on java.sun.com domain like xmlns:f="http://java.sun.com/jsf/core" . However, Oracle's Java EE 7 tu...
Which one is recommended? Go ahead with XML namespaces on xmlns.jcp.org domain. This was newly introduced since Java EE 7 in 2013 (which covers a.o. JSF 2.2, Servlet 3.1, CDI 1.1, etc). Do note that this not only affects Facelets files, but also XML configuration files such as faces-config.xml , web.xml , beans.xml , e...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/31068678', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2581174/']}
jdg_102800
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
257479
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: Could anyone just give me hint for this one? There exist an infinite subset $S\subseteq\mathbb{R}^3$ such that any three vectors in $S$ are linearly independent. True or...
Try $\left(\begin{matrix}1\\t\\t^2\end{matrix}\right)$ with $t\in\mathbb R$.Do you know to compute$$\left\vert\begin{matrix}1&1&1\\r&s&t\\r^2&s^2&t^2\end{matrix}\right\vert? $$
{}
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jdg_187479
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
36735842
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Not sure where to ask (feel free to close this if it is an inappropriate question) but I have not found anything on this specifically in C++17 proposals, neither this or this...
There's a proposal on the issue titled Forward declarations of nested classes P0289R0 . However as you can see from the last Trip Report: C++ Standards Meeting in Jacksonville, February 2016 , this proposal was pendent to proposals for which further work is encouraged. I'm quoting the verdict of the committee ( Emphasi...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/36735842', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2194193/']}
jdg_77639
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
40999025
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 you can scope a variable to a switch case, like this . With javascript I get unexpected token using the following: const i = 1switch (i) { // variables scoped to swit...
some alternative: /* curly braces inside the case */const i = 1switch (i) { case 0: { let x = 2342; let s = 1 + x; console.log(x+' & '+s+' from inside'); } break; case 1: { let x = 2342; let s = 'b'; console.log(x+' & '+s+' from inside'); /* 2342 & b from inside */ } break;}console.log(x+' & '+s+'...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/40999025', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/773263/']}
jdg_74489
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
13753665
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 thought this was a simple google search, but apparently I'm wrong on that. I've seen that you should supply: Accept-Encoding: gzip;q=0,deflate;q=0 in the request headers. H...
Do you wish encoding to be disabled altogether? Then skip the Accept-Encoding header itself within http request headers. Do you wish only gzip compression to be absent in the http response? Then skip gzip from the values list in the http request header. Do you wish to prioritize different compression techniques that se...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/13753665', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/278976/']}
jdg_74475
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
17241365
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I'm working on a client-server application and I want the client to authenticate itself to the server using the user's logon credentials, but I don't want the user to have to...
Update: SSPI is the right approach for this. The API isn't too hard to use, but does require a decent-sized project to wrap into C#. In the process of researching the necessary bits to solve this question, I wrote a project to provide SSPI in .Net. Below I describe the basics of interfacing with the Windows SSPI API so...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/17241365', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/344638/']}
jdg_71766
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
35185871
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 MDN said : Six data types that are primitives: Boolean Null Undefined Number String Symbol (new in ECMAScript 6) and Object But I confused, the function data type and obj...
You can logically think of Function as a subclass of Object . It has all the methods of Object plus some more that are specific to a function (such as .bind() , .call() , .apply() , etc...). Why Javascript decided to make Function report it's own unique type, but not Array (which is a similar derivation from Object ) ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/35185871', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3036789/']}
jdg_74065
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
430085
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: This post says A PDF is used to specify the probability of the random variable falling within a particular range of values, as opposed to taking on any one value. Is it...
The citation is true. When you plug $x=0$ to the PDF function, you do NOT get the probability of taking this particular value. The resulting number is probability density which is not a probability. The probability of taking exactly $x=0$ is zero (consider the infinite number of similarly-likely values in the tiny int...
{}
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jdg_202540
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
17680256
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: OK I was looking into number formatting and I found that you could use %d or %i to format an integer. For example: number = 8print "your number is %i." % number or number = ...
Python copied the C formatting instructions. For output , %i and %d are the exact same thing, both in Python and in C. The difference lies in what these do when you use them to parse input , in C by using the scanf() function. See Difference between format specifiers %i and %d in printf . Python doesn't have a scanf eq...
{}
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jdg_317061
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
50584
Below is a question asked on the forum politics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Former Romanian president Basescu was paraphrased as saying in a recent interview that: The European Green Deal “will definitely create tensions” inside the EU, and ...
What might be seen as "the usual suspects" of Hungary & Poland also voiced concerns, as well as the Czech Republic. In December, they threatened to block the deal entirely. Although all four countries seem to accept the threat of global warming, and indeed the need for a reduction of carbon emissions, they objected to ...
{}
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jdg_244798
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
28624821
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 string values include time with formatted "HH:mm" (16:50) i have to convert this value to "hh:mm " format (04:50) as a string in SWIFT i have tried NSDateFormatter lik...
You need 2 NSDateFormatter s, one for dateFromString , one for stringFromDate let inFormatter = NSDateFormatter()inFormatter.locale = NSLocale(localeIdentifier: "en_US_POSIX")inFormatter.dateFormat = "HH:mm"let outFormatter = NSDateFormatter()outFormatter.locale = NSLocale(localeIdentifier: "en_US_POSIX")outFormatter.d...
{}
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jdg_354973
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
44401674
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 grid layout following the newest CSS Grid spec, but am not completely familiar with it yet. I'm trying to create the following layout without having to define ...
If you don't want to define grid areas for each grid item, then don't use the grid-template-areas property, which requires you to define names for each grid item. Instead, just work with grid-template-columns and grid-template-rows on the container. Then apply your 2x2 sizing to the first grid item using grid-column an...
{}
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jdg_148697
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
11232853
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: As you may have seen, Google is migrating its Push Notification System. Google Developer guide for GCM I guess I am not alone wondering : are the tokens obtained from C2DM st...
Although client side migration is easy (just change the 'sender' from email address to a project id), you will still face transition headaches if your app has been using C2DM for a while. See my question here: Posting GCM notification to existing C2DM registration ids Basically the problem is during the transition, you...
{}
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jdg_193180
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2944597
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: What are views good for? hi, i have a doubt what is a view. where should we use and what is the use of view.is there any good reference for views. thank...
Please, have an eye out this View (database) Wikipedia article . In short, a View can be used with more than SQL Server, it is a SQL Standard. A VIEW is generally used: To present the information data on a different point of view ; To simplify the access to the information of a high-level complexity of the database sch...
{}
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jdg_301020
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1365982
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 $G$ be a subgroup of $S_n$ (where $n$ is a positive integer) such that each non identity element $g\in G$ has exactly one fixed point. Prove there is an element of $...
Apply Burnside's Lemma : Consider the action of $G$ over $[n]$. The number of orbits is $$|[n]/G|=\sum_{g\in G}\frac{[n]^g}{|G|}$$ where $[n]^g=\{k\in[n]:g(k)=k\}$. The hypothesis says that $|[n]^g|=1$ for all $g\neq e$. Moreover, $[n]^e=[n]$. Then$$|[n]/G|=\frac n{|G|}+\sum_{g\in G,g\neq e}\frac{1}{|G|}=\frac{|G|+n-1}...
{}
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jdg_283797
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
46033843
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 used below code for creating .ics file but it's not working can any one help me,where its going wrong. System.Text.StringBuilder sbICSFile = new System.Text.StringBuilder()...
This is how I usually create .ics files. //some variables for demo purposesDateTime DateStart = DateTime.Now;DateTime DateEnd = DateStart.AddMinutes(105);string Summary = "Small summary text";string Location = "Event location";string Description = "Lorem ipsum dolor sit amet, consectetuer adipiscing elit.";string FileN...
{}
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jdg_76629
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2642776
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Find all $f$ that satisfies:$1, ~f:\mathbb{R}\rightarrow\mathbb{R};\\2,\forall x,y\in\mathbb{R},f(x+y)+f(x)f(y)=(1+x)f(y)+(1+y)f(x)+f(xy);$ Maybe we can prove it's deriv...
The only solutions are $f(x)=0$, $f(x)=3x$, and $f(x)=x(x+1)$. It is easy to verify these all work; let me now prove there are no other solutions. First note that setting $y=0$ gives $$f(x)f(0)=(2+x)f(0).$$ So either $f(0)=0$ or $f(x)=2+x$ for all $x$. Since $f(x)=2+x$ does not satisfy the functional equation, we hav...
{}
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jdg_242017
PrimeIntellect/stackexchange-question-answering