source
string
task_type
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stackexchange
llm_judgeable_groundtruth_similarity
79176
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: When writing math articles (or just math text), do you write down mathematical expression in a formal way or describe it in words, e. g. "Let $X$ be a normed vector spac...
I started writing what follows as a comment, because I'm not really answering your question, but it wound up being way too long for a comment. Your "formal way" is: "Let $(X,+,\cdot)$ be a vector space, together with a norm $\left\Vert \cdot \right\Vert $. Then $X$ is called a Banach space $:\Leftrightarrow \ \forall x...
{}
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jdg_184078
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2027618
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 $(a_n)_n$ be a sequence of non-negative real numbers. Prove that $\sum\limits_{n=1}^{\infty}a_n$ converges if and only if the infinite product $\prod\limits_{n=1}^{\...
Hint: Since the $a_n$ are nonnegative, we have the inequalities $$\sum_{n=1}^N a_n \le \prod_{n = 1}^N (1 + a_n) \le \exp\left\{\sum_{n = 1}^N a_n\right\}\quad (N = 1,2,\ldots)$$ where the second inequality follows from the inequality $1 + x \le e^x$ for all $x \ge 0$.
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/2027618', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/315659/']}
jdg_92963
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
6724180
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 convert the following date "Sun Jul 17 07:48:34 +0000 2011"to the following format "2011-07-17 07:48:34"? I used NSDateFormatter as shown below but it didnt work. I...
You've got your Date Format wrong for the style of Date you are passing in. Here is a document explaining the different modifiers: Date Format Patterns To parse the Date "Sun Jul 17 07:48:34 +0000 2011", you'd need a Format like so: [dateFormat setDateFormat:@"EEE MMM dd HH:mm:ss ZZZ yyyy"]; To get it into the followin...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/6724180', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/848693/']}
jdg_263004
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
9699951
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I'm using a drawable for seekbar thumb with android:thumb="@drawable/thumb" How can I set the size of this thumb in dip unit? Because I use a style for seekbar like <style na...
The most flexible way to set thumb size for me is to create layered-drawable with shape as placeholder thumb_image.xml : <layer-list xmlns:android="http://schemas.android.com/apk/res/android" > <item> <shape> <size android:height="40dp" android:width="40dp" /> ...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/9699951', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/134263/']}
jdg_173667
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
7527
Below is a question asked on the forum hermeneutics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: http://biblehub.com/deuteronomy/23-18.htm You must not bring the earnings of a female prostitute or of a male prostitute into the house of the LORD your God to ...
Here are the verses of relevance to this question in the BHS Hebrew text: לֹא־תִהְיֶ֥ה קְדֵשָׁ֖ה מִבְּנ֣וֹת יִשְׂרָאֵ֑ל וְלֹֽא־יִהְיֶ֥ה קָדֵ֖שׁ מִבְּנֵ֥י יִשְׂרָאֵל׃ לֹא־תָבִיא֩ אֶתְנַ֨ן זוֹנָ֜ה וּמְחִ֣יר כֶּ֗לֶב בֵּ֛ית יְהוָ֥ה אֱלֹהֶ֖יךָ לְכָל־נֶ֑דֶר כִּ֧י תוֹעֲבַ֛ת יְהוָ֥ה אֱלֹהֶ֖יךָ גַּם־שְׁנֵיהֶֽם׃ (Deuteronomy 2...
{}
{'log_upvote_score': 4, 'links': ['https://hermeneutics.stackexchange.com/questions/7527', 'https://hermeneutics.stackexchange.com', 'https://hermeneutics.stackexchange.com/users/251/']}
jdg_113031
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
51340164
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 small program in which I have an array of 25 dots. Each dot has its own position, size and colour, and as I'm using a graphics library (Allegro), I have a metho...
You're getting voted down not just because this is a duplicate question but because your attempt wraps two security problems in a single piece of code. So let's take this step by step. 1) Your actual problem is you mispelt WHERE. Your corrected code would look something like SqlConnection con = new SqlConnection(@"Data...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/51340164', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/6212808/']}
jdg_111560
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4009252
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I'm using the following form tag for @jobs which have job_photos included. <% form_for @jobs, :html => { :multipart => true }, :remote => true do |f| %> The form works fine n...
The thing is that you cannot post a multipart form via AJAX. This is not a rails' limitation. In order to circumvent this, you need to use an iframe technique (which can be easier with responds_to_parent plugin) or use a technology like Flash or Silverlight.
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/4009252', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/485680/']}
jdg_320738
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
31689107
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 and failing to deserialize an enum with Jackson 2.5.4, and I don't quite see my case out there. My input strings are camel case, and I want to simply map to standa...
EDIT: Starting from Jackson 2.6, you can use @JsonProperty on each element of the enum to specify its serialization/deserialization value ( see here ): public enum Status { @JsonProperty("ready") READY, @JsonProperty("notReady") NOT_READY, @JsonProperty("notReadyAtAll") NOT_READY_AT_ALL;} (The rest of...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/31689107', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1567452/']}
jdg_326571
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
665668
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: What is the most important use of AppDomains in C#? Now provide the response and nothing else.
The single most important use is that your code has to have one - i.e. everything you write in C# executes in an AppDomain . That is quite important ;-p If you mean additional app-domains: When using plugins and other untrusted code, it allows you both isolation, and the ability to unload them (you can't unload assemb...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/665668', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/79323/']}
jdg_210347
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
177029
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I have to give a presentation on elliptic curves in general. It does not have to be very in depth. I have a very basic understanding of elliptic curves (The most I under...
Given non-zero integers $A,$ $B$, and $C$, such that $A + B = C$, we can form theso-called Frey curve (named after the mathematician Frey, who first consideredelliptic curves in the context of FLT) $$E: y^2 = x(x-A)(x+B),$$ which has discriminant (up to some power of $2$ which one can compute precisely, but which I wil...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/177029', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/36868/']}
jdg_213175
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
9314612
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 to concatenate Object with a string (primitive) without overloading and explicit type cast ( str() )? class Foo: def __init__(self, text): self.text = text d...
Just define the __add__() and __radd__() methods: class Foo: def __init__(self, text): self.text = text def __str__(self): return self.text def __add__(self, other): return str(self) + other def __radd__(self, other): return other + str(self) They will be called depending on whet...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/9314612', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/929994/']}
jdg_72235
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
35033055
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 for loop in my code. I haven't changed anything on this part of code for about 5-6 days and I never had problems with it. Since yesterday I tried to reload my code a...
This looks wrong: for ($i = 0; $i <= $sites_array; $i++) { if ($i < 10) { // this is 270 $topten_sites[] = $sites_array[$i]; } } If $sites_array is an array, it makes no sense to compare it to an integer so you probably have a never-ending loop. If you just need the first 10 elements in anot...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/35033055', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5779505/']}
jdg_187083
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
21460787
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: See this playground: http://play.golang.org/p/nWHmlw1W01 package mainimport "fmt"func main() { var i []int = nil yes(i) // output: true no(i) // output: false}func ...
Admittedly, it's somewhat of a quirk, but there's an explanation for it. Imagine an interface{} variable as a struct composed of two fields: one is the type and another is the data. ( []int and nil ). Actually, it looks just like that in the Go runtime. struct Iface ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/21460787', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/605022/']}
jdg_335591
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
49427663
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 iterating through corresponding questions / answers, when I click on a particular question, I want to show the answer/and hide it when I click on the same question again...
(instructions for networkx 1.x below) If you're using networkx 2.x try G.remove_edges_from(nx.selfloop_edges(G)) If you have a MultiGraph (which for example configuration_model produces), this may not work if you have an older release of 2.x with a minor bug. If so and you don't want to upgrade, then you need to conve...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/49427663', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/9257164/']}
jdg_243953
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
16793637
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 deleted my branch by mistake like this: git branch -D demo But I want to recover it… I get this after git reflog 541b2f5 HEAD@{23}: checkout: moving from demo to maste...
Create a list of all dangling or unreachable commits. git fsck --full --no-reflogs --unreachable --lost-found Print a list of commit messages for all commits in the lost and found. ls -1 .git/lost-found/commit/ | xargs -n 1 git log -n 1 --pretty=oneline Find your missing commit through the process of manual inspection ...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/16793637', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1656267/']}
jdg_253490
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
7597943
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 jQuery element, how can I determine if the sibling on the right is a text node and not another element? In PHP, you would compare the nodeType to #text - what's the e...
next() only returns elements, so you can't use it to traverse text nodes. You could instead use the DOM nextSibling property and check its nodeType property: Live demo: http://jsfiddle.net/kD9qs/ Code: window.jQuery('body').find('a').each(function (i) { var nextNode = this.nextSibling; if (nextNode && nextNode.no...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/7597943', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/51649/']}
jdg_218780
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
41254029
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: So I'm trying to fetch all 'places' given some location in React Native via the Google Places API. The problem is that after making the first call to the API, Google only ret...
What I understood is that you are trying to make a fetch based on the result of another fetch. So, your solution is to use a TimeOut to guess when the request will finish and then do another request, right ? If yes, maybe this isn't the best solution to your problem. But the following code is how I do to use timeouts: ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/41254029', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/-1/']}
jdg_221742
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
316328
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 used the equation $$k = \frac{|f''(x)|}{(1+(f'(x))^2)^{3/2}}.$$ Just by looking at its would think the max is at $x = 1, y = 0$. What is the correct answer? Now provi...
$f(x) = -\ln{x} \implies f'(x) = -1/x \implies f''(x) = 1/x^2$. Then $$k(x)=x (1+x^2)^{-3/2}$$ The derivative of $k$ is $$k'(x) = \frac{1-2 x^2}{\left(x^2+1\right)^{5/2}}$$ which is zero when $x=1/\sqrt{2}$. You can show that $k''(1/\sqrt{2}) < 0$, so the curvature is maximized at $x=1/\sqrt{2}$.
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/316328', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/46289/']}
jdg_355693
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
70392
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 distributed version control system (git, bazaar, mercurial, darcs etc.) that can handle files larger than available RAM? I need to be able to commit large binary f...
It's been 3 years since I asked this question, but, as of version 2.0 Mercurial includes the largefiles extension , which accomplishes what I was originally looking for: The largefiles extension allows for tracking large, incompressible binary files in Mercurial without requiring excessive bandwidth for clones and pull...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/70392', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/11438/']}
jdg_138360
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
26536
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: China's FAST (Five-hundred-meter Aperture Spherical radio Telescope) is the largest radio telescope in the world.(This is huge!!!) As we all know Space Telescopes a...
It's very unlikely that large optical telescopes will ever be built on the Moon, because the Moon is almost the worst possible place to build them. (The surfaces any of the planets other than Earth are worse.) It has no particular advantages over orbit and costs a lot more to build there. The Moon looked like a good ...
{}
{'log_upvote_score': 4, 'links': ['https://astronomy.stackexchange.com/questions/26536', 'https://astronomy.stackexchange.com', 'https://astronomy.stackexchange.com/users/22623/']}
jdg_77358
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2916961
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: Please prove this result: If there are m items of one kind,n items of another kind and so on, then the number of ways of choosing r items of these items is =Coefficient ...
You are correct that the condition that $a=b$ if and only if $\alpha_s = \beta_s$ for all $s \in S$ is required. This is wrapped up in definition of a 'formal sum', so I don't think there's any reason why you'd need to spell it out explicitly. If you wanted to be extremely precise, you could say that the underlying set...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/2916961', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/591693/']}
jdg_311969
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
30073682
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 requirement to create bezier curve in my project. For that purpose I am drawing a view with paint, but the problem is that I am not getting the exact shape for my ne...
After a long struggle i found the root cause of my issue right from the scratch.Thanks for the tool which helped me to generate the coordinates and also the blog which showed me the exact sample for my need. Finally my code is as follows: public class DrawView extends View { Paint paint; Path path; public Draw...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/30073682', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3298272/']}
jdg_228480
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
51608371
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 config class FooConfig , in which i have a bound class 'Foo'. @Configuration@ConfigurationProperties("foo")public class FooConfig { @Value("${foo.default.iterations...
You shouldn't mix @Value and @ConfigurationProperties in the same class. If you want to have default values in a @ConfigurationProperties -annotated class, you can configure the fields with a default value: @ConfigurationProperties("foo")public class FooConfig { private Integer iterations = 999; // getter / sette...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/51608371', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/871611/']}
jdg_213350
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
43412261
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 bunch of model classes which have fields of type List<X> where X is one of many things (e.g. String , Integer , but also some of my own types). I'm using GSON to parse...
But the problem is I have Lists with many different element types and I don't want to write a separate TypeAdapter for each case. Nor have I been able to a generic TypeAdapter>, because at some point you need to know the type. This is what type adapter factories are designed for: you can control every type in Gson inst...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/43412261', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1084488/']}
jdg_239424
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
204964
Below is a question asked on the forum serverfault.com. Provide a good and informational response to it like a helpful human would. Question: Using amazon's EC2 Service, which is awesome in every regard. Only problem is, I have problems logging in with the SSH keys they automatically genarate. I have no idea what the...
Well, a typical SSH key is somewhere around 1024 or 2048 bytes. That's a chunk longer than any password you're going to type in a reasonable amount of time. The whole advantage to ssh keys is that your key password (you do set passwords on your ssh keys, right?) is effectively a proxy to the higher security of the ke...
{}
{'log_upvote_score': 4, 'links': ['https://serverfault.com/questions/204964', 'https://serverfault.com', 'https://serverfault.com/users/61193/']}
jdg_330849
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
27493703
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 separate a section of a document into its different components which are separated by ampersands. This is what I have: name,function,range,w,h,k,frac,constrain...
The parameters of str.split are called sep and maxsplit : str.split(sep="&", maxsplit=8) But you can only use the parameter names like this in Python 3.x. In Python 2.x, you need to do: str.split("&", 8) which in my opinion is the best for both versions since using the names is really just redundant. str.split is a ve...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/27493703', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2224963/']}
jdg_129158
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
33653946
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 can't seem to figure out why: let a = Box::new(5i32);let _:() = *a; tells me that the assigned type on the second line is i32 and not &i32 since Deref.deref() (which I assu...
*foo is not the same as calling foo.deref() . If it were, you'd never be able to actually dereference a value. ^_^ * is syntactic sugar for "call Deref::deref and then go into the address provided". This is just what people expect from that operator. Deref exists to make it extensible. That last bit glosses over some d...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/33653946', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/319954/']}
jdg_78943
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
30677407
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have an ASP.NET application that runs fine on my local machine. I just uploaded it to a server using web deploy. I'm getting the following error when I try to view the site...
The problem is that the Gators3.dll and MyFirstProject2.dll are in the same folder (I guess it is bin folder on your server) and both are using Owin middleware. If you do not need MyFirstProject2.dll then the easiest way would be to delete that assembly. If you need it, but without Owin - add following line to Web.conf...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/30677407', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/188963/']}
jdg_345558
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1454805
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 looking at some auditing hooks with Entity Framework. Many of them show old/new value comparisons. This does great for an audit trail but I'm looking to snapshot ...
Let's see. You have a requirement to take an object graph and serialize it into the database in a format which will allow you to materialize it later on. I think that there are tools which do exactly this. One of them, it strikes me, is the Entity Framework. What you want to do is a very common thing. Consider a wiki e...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/1454805', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/147532/']}
jdg_170511
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
977652
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 wondering about how to approach inheritance with View Models in the MVVM pattern. In my application I have a Data Model that resembles the following: class CustomObject...
Generally I would recommend you not to have inheritance between different ViewModel classes , but instead having them inherit directly from a common abstract base class. This is to avoid introducing unnecessary complexity by polluting the ViewModel classes' interfaces with members that come from higher up in the hierar...
{}
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jdg_169232
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
25314554
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 recieving the following from the database. Array ( [0] => stdClass Object ( [id] => 1 [userid] => 2 [collection_name] => Programm Title [...
The name sort_key in the body of the lambda will be looked up when the function is actually called, so it will see the value sort_key had most recently. Since you are calling sort immediately, the value of sort_key will not change before the resulting function object is used, so you can safely ignore the warning. To si...
{}
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jdg_340986
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
191929
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 pulled the term smurf naming from here (number 21). To save anyone not familiar the trouble, Smurf naming is the act of prefixing a bunch of related cla...
You raise some good points. With regards to having duplicate classes, you can alias classes in C#. Use for example using ColorScheme = The.Fully.Qualified.Namespace.Outlook2007ColorScheme; See this post on StackOverflow . You've not indicated your programming language but I have inferred it from what you've written. So...
{}
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jdg_267294
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
69365
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 j be the usual j-invariant $j(z) = 1/q + 744 + 196884q + ...$ where $ q = $exp$(2 \pi i z),$and let $x_n$ denote the exponent of $1 - q^n$ in the product decomposition $j(...
The function $x_n$ will not be continuous. Note that $j$ is a function of $\tau$, and $$\frac{1}{2 \pi i} \frac{d}{d \tau} = q \frac{d}{d q}.$$If $f$ is a meromorphic modular function, then $dlog(f)$ is a meromorphic modular form of weight two (easy exercise). Applying this with $f = j$, we find that$d log(j)$ is such ...
{}
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jdg_287452
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
13206414
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 tested the performance of slim reader/writer lock under windows 7 using the codefrom Windows Via C/C++ . The result surprised me that the exclusive lock out performanc...
This is a pretty common result for small general-purpose locks (like SRWLocks, which are only one pointer in size). Key Takeaway: If you have an extremely small guarded section of code, such that the overhead of the lock itself might be dominant, an exclusive lock is better to use than a shared lock. Also, Raymond Chen...
{}
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jdg_298605
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1924608
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 often hear people praise languages, frameworks, constructs, etc. for being "explicit". I'm trying to understand this logic. The purpose of a language, framework, etc. is ...
Whether you should be explicit or implicit depends on the situation. You are correct in that often you are trying to hide complexity, and certain things being done behind the scenes for you automatically is good. encapsulation, etc. Sometimes though frameworks or constructs hide things from us that they should not, a...
{}
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jdg_188129
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2552
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: Let's assume that a ship is traveling on the ocean and it sinks, what is the effect on sea level? Even if the effect is small, would it go up, down or remain the...
It would go down. In order to float, an object must displace a volume of fluid that weighs the same as the boat. In the case of a ship, this volume is less than the gross volume of the boat, including the air inside it. That's why it floats with the gunwales comfortably above the water. So when the boat is floating, it...
{}
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jdg_373804
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1246
Below is a question asked on the forum skeptics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: This is a typical extract form a blog post about Orbs , Reading an article about orbs, the mysterious lights sometimes appearing in photographs, I was reminded of ...
Orbs are photographic artefacts – specifically bits of airborne dust, water droplets, insects etc. caught in the flash of a camera. They appear out of focus because they are so close to the lens of the camera in an area called ‘The orb zone’ which is between the camera lens and the ‘point of focus’ in a photograph (nam...
{}
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jdg_293853
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4970921
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 ReportLab code: t = c.beginText() t.setFont('Arial', 25) t.setCharSpace(3) t.setTextOrigin(159,782) t.textLine("Some string") c.drawText(t...
Basically you only have to calculate the width of the string, the width of the area where you want to center it, and you're done. Use Canvas.stringWidth to determine the width a given string (with a font and size) occupies. It doesn't take char spacing into account, but I did some tests that suggests one can fix that. ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/4970921', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/460750/']}
jdg_146375
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
22152
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 was the pKa value (-1.7) for the oxonium ion determined? Why does it correspond to the minimum pH value accessible in water? What reaction does it represent? N...
There is a nice little article in the Journal of Chemical Eduction Negative pH Does Exist pointing out examples of negative pHs in water, for example pH = -3.6 in mine water in California. So -1.7 is not the lowest possible pH in water. Keep in mind that pH is defined in terms of hydrogen ion activity rather than conc...
{}
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jdg_248190
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
5171248
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, using the Android SDK, to programmatically connect to an already-paired Bluetooth device? In other words: I can go into Settings -> Wireless & networks -> Blu...
Okay, since this was driving me crazy, I did some digging into the source code and I've found a 100% reliable (at least on my Nexus 4, Android 4.3) solution to connect to a paired A2DP device (such as a headset or Bluetooth audio device). I've published a fully working sample project (easily built with Android Studio) ...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/5171248', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/580118/']}
jdg_179786
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
59711593
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Everyone nowadays tries to use these kind of higher-order functions to get promising result with writing less code. But I wonder how these functions works internally. Suppose...
.map is just a method that accepts a callback, invokes the callback for every item of the array, and assigns the value to a new array. There's nothing very special about it. You can even implement it yourself quite easily: Array.prototype.myMap = function(callback) { const newArr = []; for (let i = 0; i < this.length...
{}
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jdg_117503
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
45381589
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 searched on google but didn't get an answer. I created a subplot consisting of 2 axes and called plt.gca() but every time it only referred to the last axis in the axes...
gca means "get current axes". "Current" here means that it provides a handle to the last active axes. If there is no axes yet, an axes will be created. If you create two subplots, the subplot that is created last is the current one. There is no such thing as gca(something) , because that would translate into "get curre...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/45381589', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/8383847/']}
jdg_248902
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4789686
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's wrong with the following code? #define DELAY_CYCLES ((int)(0.1/0.001))typedef struct { double state_history[N_X][DELAY_CYCLES]; double foo;} foo gcc complains: m...
EDIT AGAIN If you follow the standard to the letter, then yes, you should avoid floating-point expressions there. In C, with the sole exception of floating-point constants cast to integers (such as (int)3.0f ), floating-point expressions are not considered integer constant expressions at compile time for the purpose o...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/4789686', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/588451/']}
jdg_132680
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
41233173
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 create separate .csv files for each group in a data frame grouped with dplyr's group_by function. So far I have something like by_cyl <- group_by(mtcars, cyl)d...
You can wrap the csv write process in a custom function as follows. Note that the function has to return a data.frame else it returns an error Error: Results are not data frames at positions This will return 3 csv files named "mtcars_cyl_4.csv","mtcars_cyl_6.csv" and "mtcars_cyl_8.csv" customFun = function(DF) {wri...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/41233173', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3726882/']}
jdg_119182
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2520070
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 use this line of code: using (ADataContext _dc = new ADataContext(ConnectionString), BDataContext _dc2 = new BrDataContext(ConnectionString)){ // ...} This gives a ...
MSDN declared instances of two objects of the same type. You're declaring multiple types, hence the error message you received. Edit: To go all "Eric Lippert" on it, section 8.13 of the language specification says: When a resource-acquisition takes the form of a local-variable-declaration, it is possible to acquire mul...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/2520070', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/225808/']}
jdg_254564
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
66786
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: We've 4 embedded firmware at hand. Two of them are released, are in maintenance phase. Other two are going to be released. The released product uses OKI 4...
Often, "upgrading the compiler introduced a bug" really means "upgrading the compiler revealed an existing bug". This is especially so for C and C++, where the language spec has lots of areas where the behaviour of such-and-such is not defined. Aggressive optimization can causes changes in behaviour for code that stra...
{}
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jdg_204673
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
48065941
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 integration test for a spring boot micro-service. The problem is that the service calls an external service (via REST) on startup. I’m using WireMock to mock the ca...
you might create static instance of WireMockServer in your test. Here is a code sample: @RunWith(SpringRunner.class)@SpringBootTestpublic class YourApplicationTests { static WireMockServer mockHttpServer = new WireMockServer(10000); // endpoint port here @BeforeClass public static void setup() throws Exception...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/48065941', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/9165045/']}
jdg_210328
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
5391045
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 following ZendCasts cast , shows a way to use doctrine 2 in a zend framework environment. Using this configuration, how can I make the connection use a utf-8 charset so t...
If you are not using Bisna, you could simply do something like the following: Pass the config stuff directly to EntityManager's connection options(although driverOptions is not documented) // $options is a simple array to hold your data$connectionOptions = array( 'driver' => $options['conn']['driv'], 'user' ...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/5391045', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/259328/']}
jdg_130155
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
21784346
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I was trying doT.js template engine.How to do nested if-else if in dot.js like if() .....else if .....else if .....else ..... Now provide the response and nothing else.
You can use the following syntax: {{? it.name }}<div>Oh, I love your name, {{=it.name}}!</div>{{?? it.age === 0}}<div>Guess nobody named you yet!</div>{{?? it.age > 20}}<div>You're old!</div>{{??}}You are {{=it.age}} and still don't have a name?{{?}} The above gets compiled to: function anonymous(it /**/) { var out...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/21784346', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1049104/']}
jdg_357237
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
44460394
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Entity looks like this: @Getter@Setter@Entitypublic class Application {@Idprivate Long id;@Enumerated(EnumType.STRING)private ApplicationStatus status;} Code works this way: ...
Following similar question with similar requirement and one of the answers pointing to Spring Expression Language (SpEL) you could use: public interface ApplicationRepository extends JpaRepository<Application, Long> { @Query(nativeQuery = true, value = "SELECT app FROM #{#entityName} AS app WHERE app.status=:#{#stat...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/44460394', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/7341741/']}
jdg_304435
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
14295878
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: What is the best way to delete several files in node.js? function deleteFiles(files, callback){ ...}var files = ['file1.js', 'file2.jpg', 'file3.css'];deleteFiles(files, c...
Asynchronous: var fs = require('fs');function deleteFiles(files, callback){ var i = files.length; files.forEach(function(filepath){ fs.unlink(filepath, function(err) { i--; if (err) { callback(err); return; } else if (i <= 0) { callback(null); } }); });}var files = ['fi...
{}
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jdg_324243
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
556585
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: Wolfgang Demtröder writes this in his book on Experimental Physics, The future destiny of a microparticle is no longer completely determined by its past. First of all...
No. If the classical path was assumed to be the only path, there would be no quantum theory. It would just be classical. And clearly from the need for and success of a quantum theory that explains things outside the domain of the classical one, we know the world to be following quantum rules. In Feynman’s highly readab...
{}
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jdg_333432
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1596988
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 studying for the Zend PHP certification . I am not sure about the answer to this question. Question: What is the best way to iterate and modify every element of an array...
From these options, C would be the obvious answer. The remaining options (besides A) may be used to achieve that, depending on the code inside the parenthesis, but the question does not show that code. So it must be C. And you are answering the wrong question - yes, doing count() before the for cycle will improve perfo...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/1596988', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/45066/']}
jdg_227763
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1372767
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I'm trying to evaluate this definite integral:$$\int_0^1\frac{\log(x) \log(1+x)}{\sqrt{1-x}} dx$$It's clear that the result can be expressed in terms of derivatives of a...
$$\int_0^1\frac{\ln(1+x)\ln x}{\sqrt{1-x}}dx=16-8\ln2+4\ln^2\left(1+\sqrt2\right)\\+\sqrt2\left[2\ln^22+8\left(\ln2-1\right)\ln\left(1+\sqrt2\right)-\frac{7\pi^2}3+16\operatorname{Li}_2\!\left(\frac1{\sqrt{2}}\right)\right].$$
{}
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jdg_242011
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
20400017
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 it is really easy to create a FileDownloader and call extend with a Button . But how do I start a download without the Button ? In my specific situation right now...
I found a solution myself. Actually two. The first one uses the deprecated method Page.open() public class DownloadComponent extends CustomComponent implements ValueChangeListener {private ComboBox cb = new ComboBox();public DownloadComponent() { cb.addValueChangeListener(this); cb.setNewItemsAllowed(true); cb...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/20400017', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/210380/']}
jdg_316427
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4189429
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 created a style.css.php file with this code: <?php $gzip = (ob_get_length() === false && !ini_get("zlib.output_compression") && ini_get("output_handler") != "ob_gzhandler"...
No, not OK. There's a lot of things wrong there. The include, no dying after redirecting, not considering the deflate method, ... This is very simple to do with PHP, as the zlib output handler automatically detects the appropriate compression to send to the client (if any); all you have to do is enable it: <?phpif (ext...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/4189429', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/376947/']}
jdg_130254
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
29041027
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: With new android API 22 getResources().getDrawable() is now deprecated.Now the best approach is to use only getDrawable() . What changed? Now provide the response and nothin...
You have some options to handle this deprecation the right (and future proof ) way, depending on which kind of drawable you are loading: A) drawables with theme attributes ContextCompat.getDrawable(getActivity(), R.drawable.name); You'll obtain a styled Drawable as your Activity theme instructs.This is probably what yo...
{}
{'log_upvote_score': 11, 'links': ['https://Stackoverflow.com/questions/29041027', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3780553/']}
jdg_263136
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
51249811
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 generate N sets of independent random numbers. I have a simple code that shows the problem for 3 sets of 10 random numbers. I notice that even though I use the...
In tensorflow, a random operation relies on two different seeds: a global seed, set by tf.set_random_seed , and an operation seed, provided as an argument to the operation. You will find more details on how they relate in the docs . You have a different seed for each random op because each random op maintains its own i...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/51249811', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/9746916/']}
jdg_104277
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
9078779
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 string in an XML file that looks similar to this: M:Namespace.Class.Method(Something a, Something b) The number of period (.) characters is abritrary, meaning it can...
In XSLT 1.0 you will need to use a recursive template , like this: <xsl:template name="substring-after-last"> <xsl:param name="string" /> <xsl:param name="delimiter" /> <xsl:choose> <xsl:when test="contains($string, $delimiter)"> <xsl:call-template name="substring-after-last"> <xsl:with-pa...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/9078779', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/494143/']}
jdg_231106
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
25817930
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I need to find the quickest way to sort each row in a dataframe with millions of rows and around a hundred columns. So something like this: A B C D3 4 8 19 2 ...
I think I would do this in numpy: In [11]: a = df.valuesIn [12]: a.sort(axis=1) # no ascending argumentIn [13]: a = a[:, ::-1] # so reverseIn [14]: aOut[14]:array([[8, 4, 3, 1], [9, 7, 2, 2]])In [15]: pd.DataFrame(a, df.index, df.columns)Out[15]: A B C D0 8 4 3 11 9 7 2 2 I had thought this might w...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/25817930', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2985049/']}
jdg_310614
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
9271507
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have a nested-View setup which can get somewhat deep in my application. There are a bunch of ways I could think of initializing, rendering and appending the sub-views, but ...
I have generally seen/used a couple of different solutions: Solution 1 var OuterView = Backbone.View.extend({ initialize: function() { this.inner = new InnerView(); }, render: function() { this.$el.html(template); // or this.$el.empty() if you have no template this.$el.append(this.inner.$e...
{}
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jdg_348812
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
9448
Below is a question asked on the forum reverseengineering.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I compile C code snippet with VS2010 by two ways: int g_arra[3];int main() { int idx = 2; g_arra[0] = 10; g_arra[1] = 20; g_arra[2] = 30; g_arra[idx] ...
In general case there is no difference between array and sequentially placed variables of the same type. The information about arrays and more complicated data types is lost during compilation. However there are several ways to restore this information from the context (and none of them will work in your specific case ...
{}
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jdg_288392
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
6055415
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 you redirect a request in ASP.NET MVC to its correct canonical version if part of the URL is missing? Using Stack Overflow as an example, the site adds the question ti...
First create a route: routes.MapRoute( "ViewProduct", "Products/{id}/{productName}", new { controller = "Product", action = "Details", id = "", productName = "" } ); Then create the Action method like so: public ActionResult Details(int? id, string productName) { Product product = ProductRepository.Fetc...
{}
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jdg_158754
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3538144
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 $A\in \mathbb{R}^{m\times n}$ and $B,C\in\mathbb{R}^{p\times n}$ be full row rank matrices ( $m,p<n$ ). If $\operatorname{rank}\begin{bmatrix} A \\ B \end{bmatrix} =...
Hint. Note that $$0\leq \int_0^1 \left(\frac{1}{2}-f(x)\right)^2\,dx=\int_0^1 \left(\frac{1}{4}-f(x)+f(x)^2\right)\,dx=\frac{1}{4}-\int_0^1 f(x)(1-f(x))\,dx.$$
{}
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jdg_249807
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
994147
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: If $A \subset \mathbb{N}$, $4 \in A$ and $n+1 \in A$ whenever $n \in A$, then $\left\{n \mid n \geq 4 \right\} \subset A$. So for the base case, I did $n = 4$, so...
Let us rewrite$$\sqrt[3]2+\sqrt[3]4=\color{blue}{1+\sqrt[3]2+\sqrt[3]4}-1=\color{blue}{\frac{\left(\sqrt[3]2\right)^3-1}{\sqrt[3]2-1}}-1=\frac{1}{\sqrt[3]2-1}-1.$$If the left side were rational, what could we say about $\sqrt[3]2$ ?
{}
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jdg_362761
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4278845
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Which is the fastest way to get the lines of an ASCII file? Now provide the response and nothing else.
Normally you read files in C using fgets . You can also use scanf("%[^\n]") , but quite a few people reading the code are likely to find that confusing and foreign. Edit: on the other hand, if you really do just want to count lines, a slightly modified version of the scanf approach can work quite nicely: while (EOF != ...
{}
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jdg_75738
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
17152967
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: public interface MyInterface{ public int myMethod();}public class SuperClass { public String myMethod(){ return "Super Class"; }}public class DerivedClass ext...
The error results from the fact that a call to myMethod will be ambiguous - which of the two methods should be called? From JLS §8.4.2 : It is a compile-time error to declare two methods with override-equivalent signatures in a class. The return type of a method is not a part of its signature, so you are receiving an e...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/17152967', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2494264/']}
jdg_374510
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
10520464
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 wondering about what "strict mode is in PHPUnit" ? eg: phpunit --strict or in phpunit.xml <phpunit strict="true"/> I turned it on just to try it and my tests started fai...
Short answer: for long running tests use an annotation to increase the allowed run time: @large // 10 seconds@medium // 5 seconds@small // 1 second max <-- Default, so no point using Long Answer: Here is an updated set of info that was derived with the help of @Crozin. In my case the error was that a test was taking to...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/10520464', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1114274/']}
jdg_79201
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
12461
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: What is a good rule of thumb for how to choose the question for the null hypothesis.For instance, if I want to check if the hypothesis B is true, should I use B as the ...
A rule of the thumb from a good advisor of mine was to set the Null-Hypothesis to the outcome you do not want to be true i.e. the outcome whose direct opposite you want to show. Basic example: Suppose you have developed a new medical treatment and you want to show that it is indeed better than placebo. So you set Null-...
{}
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jdg_88210
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
39917734
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I'm working on some jquery code using the scrollTop method to implement an infinite scroll (please, don't suggest jQuery plugins, I know they exist) and I don't quite underst...
We have pretty much the same situation. Here is our approach: Service Provider We have a ServiceProvider called BootTenantServiceProvider that bootstraps a tenant in a normal HTTP/Console request. It expects an environment variable to exist called TENANT_ID . With that, it will load all the appropriate configs and setu...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/39917734', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/6408940/']}
jdg_132184
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3031503
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: Show that: $$\lim_{n\to\infty}\frac{1}{n}(1+\sqrt2+\dots + \sqrt{n}) = +\infty$$ I've tried the following way. Consider the following sum: $$\sqrt n + \sqrt{n-1} + \dots...
That's seems fine, the more straightforward alternative way is by Stolz-Cesaro , that is $$\frac{1+\sqrt2+\dots + \sqrt{n+1}-(1+\sqrt2+\dots + \sqrt{n})}{n+1-n}=\sqrt{n+1}$$ As another one alternative, we can use AM-GM $$\frac{1}{n}(1+\sqrt2+\dots + \sqrt{n}) \ge \sqrt[2n]{n!}$$
{}
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jdg_376554
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
16807758
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I am using Java Mail API to read and parse emails. It is working fine with Servlet code. Now I am trying to write a JUnit test case for the same purpose. But on line Session ...
com.sun.mail.util.MailLogger is part of JavaMail API. It is already included in EE environment (that's why you can use it on your live server), but it is not included in SE environment. Oracle docs : The JavaMail API is available as an optional package for use with Java SE platform and is also included in the Java EE ...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/16807758', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2215139/']}
jdg_244793
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
255194
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 based on an earlier MSE posting, "Structures in the plot of the “squareness” of numbers." ) My main question is to explain the structural features of this plot: This ...
You're asking about the distribution of $d^2/n$ where $d$ is the largest divisor of $n$ below $\sqrt{n}$. This is closely related to work on the multiplication table problem, from which it follows that the square-ness ratio is usually close to 0. So the observed patterns are eventually insignificant (at least to first...
{}
{'log_upvote_score': 5, 'links': ['https://mathoverflow.net/questions/255194', 'https://mathoverflow.net', 'https://mathoverflow.net/users/6094/']}
jdg_280644
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
36124
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: If I have a single 270 ohm resistor connected in a circuit to a 3.3V 50mA power supply, how can I measure the voltage and current for the resistor? I'm familiar w...
You have to start with a closed circuit, so that there can flow current. Do you have the resistor connected between the + and the - of the power supply? Then the voltage difference is 3.3 V. And you use Ohm to calculate the current. The LED. Did you place that in series with the resistor? Which is how a LED circuit is ...
{}
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jdg_236220
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
39253
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: Suppose we have a spacecraft just inside the event horizon of a black hole, struggling to escape, but slowly receding into it. Another (bigger) black hole expands unt...
The question really boils down to the dynamics of event horizons when black holes merge. It turns out that there are some great simulations that explore these dynamics. If one scrolls down to the bottom of this black-holes.org page one can see a video of the merging of two different sized black holes. One can review...
{}
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jdg_165691
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1630750
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: Hopefully the title says it all in terms of the question I'm asking. I feel that the answer is no, but I'm not sure why; I don't really know many deep theorems about the...
Depends on what you mean by "subgroup". If your definition of a Lie subgroup requires that the subgroup is closed or embedded (which is equivalent), then this is not possible. If not, then consider the example of one-parameter subgroup whose image is (after the obvious identifications) a straight line with an irrationa...
{}
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jdg_177126
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
32181973
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: If you have a function which fires on a scroll event, which is better. Check if a class is already added and if not add it Don't do any checks but just add the class everytim...
If you are concerned about performance there are a few things you can/should do: 1. Cache your selectors: Dom interaction is expensive, and in your case you call $("nav .branding") multiple times. Store it in a variable like so var $branding = $("nav .branding") . 2. Use vanilla javascript to handle the class Depending...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/32181973', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2740744/']}
jdg_109053
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
24254209
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I was trying to refactor an old code to use streams, and my first approach was this: public void run() throws IOException { Files.list(this.source) .filter(Images::i...
One of the nice things about Optionals is that applying filtering, mapping and flat-mapping functions on them only trigger when Optional::isPresent is true, so: public void run() throws IOException { Files.list(source) .filter(Images::isImage) .map(this::createImage) // turns every non-propor...
{}
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jdg_167427
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
10256503
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 occasionally need to extract specific rows from a data.frame based on values from one of the variables. R has built-in functions for maximum ( which.max() ) and minimum ( w...
While Sacha's solution is quite general, the median (or other quantiles) are order statistics, so you can calculate the corresponding indices from order (x) (instead of sort (x) for the quantile values). Looking into quantile , types 1 or 3 could be used, all others lead to (weighted) averages of two values in certain ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/10256503', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1270695/']}
jdg_231199
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
56864651
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 written a program to store a number (which is predefined by the programmer) in form of digits in an array. For example, if I want to store a number 1234 in array arrx[...
You can only use % with integers, and pow produces floating-point numbers. You could write an integer power function, or use a predefined table, but it's simpler to reverse the order of construction and start with the rightmost digit: int main(){ int arrx[4]; //stores the individual digits of number as array int...
{}
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jdg_316471
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
21553398
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Go has no unions . But unions are necessary in many places. XML makes excessive use of unions or choice types. I tried to find out, which is the preferred way to work around ...
As it seems that you're asking because you want type safety, I would firstly argue that your initialsolution is already unsafe as you have func (m Misc) Comment () *Comment { return m.value.(*Comment)} which will panic if you haven't checked IsComment before. Therefore this solution has no benefits overa type switch...
{}
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jdg_258590
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
9445661
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 Android, is there any way to get the context of the application of a static way? For example to retrieving it from a background thread. Thanks Now provide the response an...
The easiest (and correct) way is: Define a new class public class MyApp extends Application { private static MyApp instance; public static MyApp getInstance() { return instance; } public static Context getContext(){ return instance; // or return instance.getApplicationContext(); } ...
{}
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jdg_211289
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
48449107
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 include some files in my tsconfig.json, but it's including files I don't want to be included. From a repo (with uncompiled source) I'm trying to include files t...
The TypeScript handbook has a good write up on tsconfig file . The example in the handbook is: "exclude": [ "node_modules", "**/*.spec.ts"] Note the use of ** for any folder, and * (a single asterisk) for the file name wildcard. You don't usually need to be any more specific, as I imagine you would want to exclud...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/48449107', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1253298/']}
jdg_224688
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
12495917
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 wanted to ask what's the difference between the value in the adressline and the id I get when i use getId(). For example for one document the getId() value is: t8K_TLQPmKzg...
Why is it that I can return a List<MyDataRow> from GetList() , but not an IList<MyDataRow> This is because List<T> implements IList , IList<T> cannot be cast to IList they are 2 separate interfaces. So to answer your question: Does anyone know of a way for me to return the IList<MyDataRow> without repopulating a new li...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/12495917', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1630428/']}
jdg_260036
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
864657
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's say I have this set of numbers: 565 212 812 895 443 73 468 900 299 993 252 740 291 112(average 503.9285714286) I'd like to split them apart into 3 sets of unequal ...
If there are $n$ disjoint subsets $X_i$, $1\le i\le n$ of a finite set $X\subset\mathbb{R}$, then $$\mathrm{Average(X)}=\sum\limits_{i=1}^n\left(\frac{|X_i|}{|X|}\right)\mathrm{Average}(X_i)$$ Effectively you just weight each average by how many elements were used to calculate it.
{}
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jdg_115781
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
72121
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 me use the following example to explain my question: public string ExampleFunction(string Variable) { return something;}string WhatIsMyName = "Hello World";string Hell...
What you want isn't possible directly but you can use Expressions in C# 3.0: public void ExampleFunction(Expression<Func<string, string>> f) { Console.WriteLine((f.Body as MemberExpression).Member.Name);}ExampleFunction(x => WhatIsMyName); Note that this relies on unspecified behaviour and while it does work in Micr...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/72121', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/383/']}
jdg_126073
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
48434860
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 understand in Mongo we can have one master and multiple slaves where the master will be used for writes and slaves will be used for reading operations. Say M1, M2, M3 are n...
You are right, the nodes in Cassandra are equal and all of them can respond to user's query. That's because Cassandra picks Availability and Partition Tolerance in the CAP Theorem (whereas MongoDB picks Consistency and Partition Tolerance ). And Cassandra can have linear scalability by simply adding new nodes into the ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/48434860', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3198603/']}
jdg_217830
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
9538875
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: G'day, I am trying to find the recursive depth of a function that trawls a dictionary and I'm a bit lost...Currently I have something like: myDict = {'leve1_key1': {'level2_k...
Be sure to assign the result of the recursive call to depth . Also, as @amit says, consider using max so that you can handle dicts with multiple key value pairs (a treelike structure). def dict_depth(d, depth=0): if not isinstance(d, dict) or not d: return depth return max(dict_depth(v, depth+1) for k, v ...
{}
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jdg_79438
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
744527
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: My professor would like me to solve a system similar to the following: $$ dx_i=[f_i(x_1,x_2,...x_n)]dt + g_ix_idW_i$$ Where $g_i$ are positive constants that measure the...
You absolutely cannot use ode45 to simulate this. ODEs and SDEs are different beasts. Also note that rand in Matlab is uniformly, not normally, distributed, so you're also not even generating proper Wiener increments . Before proceeding, you should take some time to read up on SDEs and how to solve them numerically. I ...
{}
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jdg_252789
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
59686945
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I need to calculate period medians per seller ID (see simplyfied model below). The problem is I am unable to construct the ORM query. Model class MyModel: period = models....
You can create a Median child class of the Aggregate class as was done by Ryan Murphy ( https://gist.github.com/rdmurphy/3f73c7b1826cacee34f6c2a855b12e2e ). Median then works just like Avg : from django.db.models import Aggregate, FloatField class Median(Aggregate): function = 'PERCENTILE_CONT' name = ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/59686945', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4183498/']}
jdg_331723
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
32231
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: Let $A_0, \dots, A_{n-1}$ be upper triangular matrices with ones on the diagonal. Let $B_{n-1}, \dots, B_0$ be of the same form. I am interested in bounding$$|| A_0 \dots A_{...
The standard trick to quantify the joint continuity of a product operation such as $(A_1,\ldots,A_k) \to A_1 \ldots A_k$ (which is essentially what you are trying to do here) is to split a difference such as $$ A_1 \ldots A_k - B_1 \ldots B_k $$ as the telescoping sum of $k$ expressions of the form $$ A_1 \ldots A_{i-1...
{}
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jdg_331132
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
266935
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 written an Eclpise plugin (an Error Parser for the CDT), and it works just fine in the debugger version of eclipse. However I cannot for the life of me figure out how...
Putting the plugin into the eclipse/plugins folder should work. If it doesn't, that usually means Eclipse has cached the plugins configuration for performance reasons. You can force Eclipse to rescan the plugins directory for changes by starting it with the -clean command-line argument. The typical deployment mechanism...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/266935', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/34879/']}
jdg_311256
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2921428
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: Given an exact sequence $0 \rightarrow A \rightarrow B \rightarrow C \rightarrow 0$ we know that the induced sequence $0 \rightarrow Hom(G,A)\rightarrow Hom(G,B)\rightar...
The mistake is when you say that functors preserve injectivity and surjectivity. That is certainly not true for general functors, and even representable covariant functors $X\mapsto Hom(A,X)$ only preserve monomorphisms in general. In fact such a functor preserves epimorphisms if and only if the representing object $A$...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/2921428', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/520038/']}
jdg_251642
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
34933
Below is a question asked on the forum unix.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I can connect to Linux machines from Windows using PuTTY/SSH. I want to do the other way round - connect to a Windows machine from Linux. Is this possible? Now provide ...
It depends on how you want to connect. You can create shares on the Windows machine and use smb/cifs to connect to the share. The syntax would depend based on if you are in a domain or not. # mount -t cifs //server/share /mnt/server --verbose -o user=UserName,dom=DOMAIN You also have the ability to mount the $IPC and a...
{}
{'log_upvote_score': 6, 'links': ['https://unix.stackexchange.com/questions/34933', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/15530/']}
jdg_304300
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
35212
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: So a positive and a positive wave function create a bonding orbital where the probability of finding an electron is summed while a positive and a negative create an...
The wavefunction of a particle actually has no physical interpretation to it until an operator is applied to it such as the Hamiltonian operator, or if you square it which gives its probability of being at a certain place. So having a negative wavefunction doesn't mean anything physically. However, let's say for a part...
{}
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jdg_188390
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
348243
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 one of my math exercises, I'm being asked to prove that for all $a, b \in G | (a^{-1})^{-1} = a$ with G a group. However, nowhere is stated that it is a commutative g...
If we wanted the group axioms to say For each $g\in G$ there exists a $g'\in G$ such that $gg'=1$ then that'd be all we need. Indeed for any $g\in G$, we have that $gg'=1$, $g'\in G$. Then we also have some other $g''$ for which $g'g''=1$. But then, by associativity $$g(g'g'')=g$$ $$(gg')g''=g$$ $$1g''=g$$ $$g''=g$$ So...
{}
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jdg_328694
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
643832
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've been watching the MIT 8.03 "Waves and Vibrations" course videos . In the lecture on AM waves, Professor Lee mentioned that the reason we need AM for radio is tha...
What's wrong with this diagram ( aside from the exaggerated angles )? Answer: Nothing, aside from the exaggerated angles. Let's try estimating the magnitude of the effect for dry air, which seems to be the focus of the question. According to ref 1, a good semi-empirical model for the index of refraction of dry air is $...
{}
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jdg_256145
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2091
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: Consider the following graphic: g = Graphics[Circle[], Frame -> True, FrameLabel -> {"one", "two"}] Retrieving the ImagePadding by traditional means does not work...
Update I created a paclet. Install the paclet with PacletInstall[ "GraphicsInformation", "Site"->"http://raw.githubusercontent.com/carlwoll/GraphicsInformation/master"] and then load the paclet with <<GraphicsInformation` Use GraphicsInformation instead of graphicsInformation Original post Here is my attempt to c...
{}
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jdg_180085
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
65594
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: Maybe my thinking here is completely wrong headed, but this seems like something that ought to have been answered before. Here is my question: What is the (n - )categorical a...
I'm afraid your "unmistakable resemblence between 2-categories and semirings" is mistaken. Distributivity (in the usual sense) means $(a+b)\ast(c+d)=a\ast c+a\ast d+b\ast c+b\ast d$, but you're looking for two structures $+$ and $\ast $ and a comparison map between $(a+b)\ast (c+d)$ and $(a\ast c)+(b\ast d)$, is that c...
{}
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jdg_210881
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
17946963
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I had these classes public class Bid : ...{ ... [Required] public virtual TraderUser Trader { get; set; }}public class TraderUser : ...{ ...} I then changed these cla...
Do not know if it is too late, but I had same problem and maybe this could help you. I cannot see from your post, but probably your TraderUser table has some rows already inserted. What you are trying to accomplish is to create new table TraderCompany and create foreign key relationship in TraderUser that points to Tra...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/17946963', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/991788/']}
jdg_194474
PrimeIntellect/stackexchange-question-answering