source string | task_type string | in_source_id string | instruction_seed string | gold_standard_solution string | verification_info string | metadata string | problem_id string | _source string |
|---|---|---|---|---|---|---|---|---|
stackexchange | llm_judgeable_groundtruth_similarity | 2890146 |
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 PyYAML package loads unmarked strings as either unicode or str objects, depending on their content. I would like to use unicode objects throughout my program (and, unfort... | Here's a version which overrides the PyYAML handling of strings by always outputting unicode . In reality, this is probably the identical result of the other response I posted except shorter (i.e. you still need to make sure that strings in custom classes are converted to unicode or passed unicode strings yourself if y... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/2890146', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/99057/']} | jdg_133719 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 19948 |
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 solve an homework question but I got stuck. Let A be a m x n matrix with the SVD $A = U \Sigma V^*$ and $A^+ = (A^* A)^{-1} A^*$ its pseudoinverse. I'm try... | $$\begin{align}A^+ &= (A^*A)^{-1}A^* \\ &=(V\Sigma U^*U\Sigma V^*)^{-1} V\Sigma U^* \\ &=(V\Sigma^2 V^*)^{-1} V\Sigma U^* \\ &=(V^*)^{-1} \Sigma^{-2} V^{-1} V\Sigma U^* \\ &= V \Sigma^{-2}\Sigma U^* \\ &= V\Sigma^{-1}U^*\end{align}$$using the properties of the matrices $U,V,\Sigma$ in the Singular_value_... | {} | {'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/19948', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/6500/']} | jdg_140572 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 15051699 |
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 struggling to return JSON data and convert it into an observable. The data is returned fine in JSON format, but it doesn't seem to be assigned to the observable. Can a... | You should use Knockout Mapping plugin and map your result to observable. var observableData = ko.mapping.fromJS(result); or if your object wasn't parsed automatically by jQuery var observableData = ko.mapping.fromJSON(result); If your data type is array it will be converter to observableArray, so to get it items as no... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/15051699', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/517406/']} | jdg_190818 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1592652 |
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:
Can you give an example of a relation that is symmetric and transitive, but not reflexive? By definition, $R$ , a relation in a set $X$ , is reflexive if and only if $\f... | Take $X=\{0,1,2\}$ and let the relation be $\{(0,0),(1,1),(0,1),(1,0)\}$ This is not reflexive because $(2,2)$ isn't in the relation. Addendum: More generally, if we regard the relation $R$ as a subset of $X\times X$, then $R$ can't be reflexive if the projections $\pi_1(R)$ and $\pi_2(R)$ onto the two factors of $X\ti... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/1592652', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/294566/']} | jdg_288645 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 10213 |
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:
The context : an Internet facing web site, streaming near real-time market prices. Paying customers can be anywhere on the Internet. The issue : Customers ... | The issue: Customers can experience total packet loss for 10s, 30s and more. This brings the TCP connection delivering the prices to a halt, thus rendering the website useless. All connectivity from the data center to the peering points have been sized correctly, and have capacity to spare. It has been asserted that th... | {} | {'log_upvote_score': 4, 'links': ['https://networkengineering.stackexchange.com/questions/10213', 'https://networkengineering.stackexchange.com', 'https://networkengineering.stackexchange.com/users/7751/']} | jdg_333070 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 492044 |
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:
Usually when I have programs that are doing a full disk scan and going over all files in the system they take a very long time to run. Why does updatedb run so fast in c... | The answer depends on the version of locate you’re using, but there’s a fair chance it’s mlocate , whose updatedb runs quickly by avoiding doing full disk scans: mlocate is a locate/updatedb implementation. The 'm' stands for "merging": updatedb reuses the existing database to avoid rereading most of the file system... | {} | {'log_upvote_score': 6, 'links': ['https://unix.stackexchange.com/questions/492044', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/23960/']} | jdg_158125 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 23949785 |
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 3 very large signed integers. long x = long.MaxValue;long y = long.MaxValue - 1;long z = long.MaxValue - 2; I want to calculate their truncated average. Expected avera... | This code will work, but isn't that pretty. It first divides all three values (it floors the values, so you 'lose' the remainder), and then divides the remainder: long n = x / 3 + y / 3 + z / 3 + ( x % 3 + y % 3 + z % 3 ) / 3 Note that the above sample does not ... | {} | {'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/23949785', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1803777/']} | jdg_229498 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1405365 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
If $\alpha$ is a root of equation $x^3+x^2-2x-1=0$, then find the other two roots in polynomials of $\alpha$, with rational coefficients. I've seen some other examples [... | The discriminant of the polynomial $p(x)=x^3+x^2-2x-1$ is $49$, which is a perfect square. It has no rational roots, so it is irreducible in $\Bbb{Q}[x]$. Together these facts imply that the Galois group of the polynomial is cyclic of order three. If $a$ is one of its zeros, we thus see that $\Bbb{Q}[a]$ is its splitti... | {} | {'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/1405365', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/209053/']} | jdg_272110 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1567730 |
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 a template publicly inherits from another template, aren't the base public methods supposed to be accessible? template <int a>class Test {public: Test() {} int MyM... | This is part of the rules concerning dependent names. Method1 is not a dependent name in the scope of Method2 . So the compiler doesn't look it up in dependent base classes. There two ways to fix that: Using this or specifying the base type. More details on this very recent post or at the C++ FAQ . Also notice that you... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/1567730', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/190026/']} | jdg_228950 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3763605 |
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 got some useful information from this Question: Jensen's inequality in measure theory Theorem 3.1 Jensen's Inequality Let $(X,\mathcal{M},\mu)$ be a probability space ... | As pointed out by @mathmandan , you have never shown that $f^{-1}([2000,\infty])$ is non-empty, which is equivalent to what the question is asking about. For the proof of the first part, let $f = \sum_{i\geq 1} \chi_{E_i}$ and note that $$ \int_{[0,1]} f^2 \, \mathrm{d}m= \sum_{i,j \geq 1} \int_{[0,1]} \chi_{E_i}\chi_{... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/3763605', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/658407/']} | jdg_81289 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 77119 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
From the following two linear homogeneous algebraic equations: $$A \sin\left(\frac{kl}{\sqrt2}\right) = B \sin(kl)$$$$\frac{kA}{\sqrt2}\cos\left(\frac{kl}{\sqrt2}\right)... | Sure, you can use a radix-2 FFT to compute FFTs for lengths not a power of 2 (but it is not as efficient as using methods specifically tailored to the factors of the sequence length). However, it's not as easy as merely padding the original array. The right way of going about it, due to Rabiner, Schafer, and Rader, is ... | {} | {'log_upvote_score': 7, 'links': ['https://math.stackexchange.com/questions/77119', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/18534/']} | jdg_200135 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 43434491 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
What is the difference between if constexpr() and if() ? Where and When can I use both of them?
Now provide the response and nothing else.
| The only difference is that if constexpr is evaluated at compile time, whereas if is not. This means that branches can be rejected at compile time, and thus will never get compiled. Imagine you have a function, length , that returns the length of a number, or the length of a type that has a .length() function. You can'... | {} | {'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/43434491', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5612562/']} | jdg_259756 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 16004 |
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 need to extract the IP that a certain application is using to receive and/or send data, is there any tool or software that would do this for me ? or any ... | Linux As @Nirlzr correctly mentioned, netstat -ape | grep <proc_name/pid> will show you the active connections of a process. It might be just enough for you but there are some cases where it would not. netstat has some blind spots -- it only shows connections at a certain point in time. Therefore, connections which clo... | {} | {'log_upvote_score': 4, 'links': ['https://reverseengineering.stackexchange.com/questions/16004', 'https://reverseengineering.stackexchange.com', 'https://reverseengineering.stackexchange.com/users/21054/']} | jdg_185742 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2605881 |
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:
Pierre Cartier's account of Alexander Grothendieck's life and work includes an interesting reflection from Grothendieck on his time in the IHES seminar: In a moment of t... | 1) I had begun writing a long answer but I found that analysing the thousand page paranoid rant "Récoltes et Semailles" too depressing. 2) Summing-up: the scandalous calumnies and accusations of plagiarism of Grothendieck toward mathematicians like Deligne, Illusie, Kashiwara, Kawai, Serre and many others would be u... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/2605881', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/28556/']} | jdg_291171 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 697245 |
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 the parametrization for the hyperboloid of two sheets${(x,y,z) \in \mathbb{R}^3}; -x^2-y^2+z^2=1$. Ok so I saw two answers for this question: $x(u,v)=(\sinh u \cos ... | There are many parametrizations, so no such thing as the parametrization. You have $x^2 + y^2 + 1 = z^2$. If you write $x^2 + y^2 = r^2$ (so you can take $x = r \cos(v)$, $y = r\sin(v)$), then $r^2 + 1 = z^2$.Now since $\cosh^2(u) - \sinh^2(u) = 1$, you could take $z = \cosh(u)$, $r = \sinh(u)$, and thus $$ \eqalign{x... | {} | {'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/697245', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/94043/']} | jdg_227316 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 330779 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
This is not homework, could someone provide a nice clear proof as I have been struggling with this for some time. Solve the equation $y^2= x^3 − 33$; $x, y \in \mathbb{Z... | $$ y^2 + 25 = x^3 - 8. $$ Note $y^2 + 25$ can not be divisible by any prime $q \equiv 3 \pmod 4,$ therefore not by any number $m \equiv 3 \pmod 4.$ If $y$ were odd, $y^2 + 25 \equiv 2 \pmod 4,$ impossible for $x^3 - 8.$ Therefore $y$ is even and $x$ is odd. $$ y^2 + 25 = (x - 2)(x^2 + 2 x + 4). $$As we need $x-2 \... | {} | {'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/330779', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/46220/']} | jdg_96398 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 12643160 |
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 browsing through the jQuery api and noticed that the load method is on the deprecated list. Categories: Deprecated | Events > Document Loading I usually use this method... | See bug #11733 , which documents this deprecation: The .load() method is an ambiguous signature, it can either be an ajax load or attach/fire a "load" event. CCAO cannot tell them apart since it's a dynamic decision based on arguments. To avoid ambiguities related to the method's signature, it is now recommended to u... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/12643160', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/598511/']} | jdg_174861 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 15750 |
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:
After seeing this recent question asking how to calculate the following integral $$ \int \frac{1 + x^2}{(1 - x^2) \sqrt{1 + x^4}} \, dx $$ and some of the comments that ... | A consideration of Aryabhata's answer to the linked question shows that there is a map from the elliptic curve $y^2 = P(x)$ to the conic $v^2 = u^2 + 2$ given by $$(x,y) \mapsto \left(x - \dfrac{1}{x}, \dfrac{y}{x}\right),$$ and the differential $$\dfrac{1+x^2}{(1-x^2)\sqrt{1 + x^4}} \,\mathrm dx$$ on the elliptic curv... | {} | {'log_upvote_score': 6, 'links': ['https://math.stackexchange.com/questions/15750', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/900/']} | jdg_141524 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1205652 |
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 struggling a bit with solving a limit problem using L'Hopital's Rule: $$\lim_{x\to\infty} \left(1+\frac{1}{x}\right)^{2x}$$ My work: $$y = \left(1+\frac{1}{x}\right)... | There is, but as with most of the checks of the field axioms using Dedekind Cuts, it isn't pretty. First recall that multiplication is given by, for $A,B$ positive\begin{equation}A\cdot B =\{a\cdot b \mid a\in A \wedge 0<a \wedge b \in B \wedge 0<b \} \cup \{ q\in \mathbb{Q}\mid q\leq 0\}.\end{equation}More generally, ... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/1205652', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/135393/']} | jdg_209888 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 15759 |
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would.
Question:
I have recently had occasion to investigate the Fourier series of the function $f(x,y)=\log({2+\cos 2\pi x} +\cos{2\pi y})$. Accordingly, define $I(m,n)=\int_{0,0}^{1,1}f(x,y... | Here is a proof of the conjecture, a proof that also shows how to compute the integrals explicitly. The proof is somewhat similar to David Speyer's approach, but instead of using multivariable residues, I will just shift a one-variable contour. Without loss of generality, $m>0$. Eliminating the trigonometric function... | {} | {'log_upvote_score': 5, 'links': ['https://mathoverflow.net/questions/15759', 'https://mathoverflow.net', 'https://mathoverflow.net/users/1464/']} | jdg_153357 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 47745 |
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:
Derek Chauvin had 17 complaints on record when he killed George Floyd. I have seen many articles, including this NYT article , which use this statistic as evidence ... | The association between the complaints against an officer and the bad behaviour of an officer is complicated, but, yes, there is a relationship. Lersch, K. M. (2002). Are Citizen Complaints Just Another Measure of Officer Productivity? An Analysis of Citizen Complaints and Officer Activity Measures . Police Practice an... | {} | {'log_upvote_score': 6, 'links': ['https://skeptics.stackexchange.com/questions/47745', 'https://skeptics.stackexchange.com', 'https://skeptics.stackexchange.com/users/52327/']} | jdg_173126 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 182836 |
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:
Let's say we have 2 sticks, both a meter long. We put both of them on the ground vertically. To the top of one of them we attach a weight. Then we tip both of them ov... | I'm going to assume the bottom end of the rod is fixed, so the rod rotates around it. I think this is what you have in mind - shout if it isn't. So at some point during its fall the rod looks like: The mass of the rod is $m$ and the mass oif the weight on the end is $M$, and I've drawn in the forces due to gravity. To ... | {} | {'log_upvote_score': 7, 'links': ['https://physics.stackexchange.com/questions/182836', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/52691/']} | jdg_222190 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1554047 |
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 written a console program that "does stuff" - mainly using boost. How do I convert it to a Windows Service?What should I know about Windows Services beforehand?
Now pro... | There's a good example on how to set up a minimal service on MSDN . See the parts about writing the main function, entry point and also the example code. Once you've got a windows service built and running, you'll discover the next major gotcha: it's a pain to debug. There's no terminal (and hence no stdout/stderr) an... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/1554047', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/142168/']} | jdg_155421 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 12533345 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I want to show to a colleague that SimpleDateFormat is not thread-safe through a simple JUnit test. The following class fails to make my point (reusing SimpleDateFormat in a ... | Lack of thread safety doesn't necessarily mean that the code will throw an exception. This was explained in Andy Grove's article, SimpleDateFormat and Thread Safety , which is no longer available online. In it, he showed SimpleDateFormat 's lack of thread safety by showing that the output would not always be correct, ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/12533345', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/-1/']} | jdg_181189 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 244588 |
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 kind of scratching my head at this a week ago, and now with a little bit more Cocoa experience under my belt I feel like I have an inkling as to what might be going on.... | I would recommend using the delegation pattern to solve your problem. Create a property @property (nonatomic, assign) id <MyModalViewDelegate> delegate; And a corresponding protocol @protocol MyModalViewDelegate@optional - (void)myModalViewControllerDidFinish:(MyModalViewController *)aModalViewController;@end When t... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/244588', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/543/']} | jdg_341471 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 19035742 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
From what I understand processor circuitry varies greatly from chip to chip and therefore may require different low level instructions to execute the same high level code. Ar... | Assembly language is, so to say, a human-readable form of expressing the instructions a processor executes (which are binary data and very hard to manage by a human). So, if the machine instructions are not generated by a human, using assembly step is not necessary, though it sometimes does happen for convenience. If a... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/19035742', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2805265/']} | jdg_119421 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2591158 |
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 game programming (my profession) it is often necessary to generate all kinds of random things, including random curves (for example, to make a procedural island or fo... | The answer clearly depends on how you define 'uniform-ness'. One way is to understand them as an appropriate limit of discrete uniform counterpart. For example, consider uniform distributions on $\mathbb{R}$. We know that they appear as limiting object of discrete uniform distributions. Similar idea applies to paths. L... | {} | {'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/2591158', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/67933/']} | jdg_330047 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 299260 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I'm creating an app that needs to be accessed by both a web front end hosted on an internal network and also run as a scheduled task. Nothing will need to be accessed outside... | Personally, I say go with the DLL. It will be fast and simple. With a web service, you will need to think about your network, firewalls, performance, etc. It also makes it harder to debug since you won't be able to step into the web service from your clients, you will have to set breakpoints on both sides of the calls.... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/299260', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1025/']} | jdg_205093 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 514078 |
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:
What is /etc/mtab in Linux? Why is it needed and advantages of having it?
Now provide the response and nothing else.
| % file /etc/mtab/etc/mtab: symbolic link to ../proc/self/mounts% file /proc/mounts/proc/mounts: symbolic link to self/mounts% /etc/mtab is a compatibility mechanism. Decades ago, Unix did not have a system call for reading the existing mount information. Instead, programs that mounted filesystems were expected to coö... | {} | {'log_upvote_score': 6, 'links': ['https://unix.stackexchange.com/questions/514078', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/61379/']} | jdg_319869 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 20249149 |
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 to customize the window of the rolling_mean function? data12345678 Let's say the window is set to 2, that is to calculate the average of 2 datapoints before an... | Compute the usual rolling mean with a forward (or backward) window and then use the shift method to re-center it as you wish. data_mean = pd.rolling_mean(data, window=5).shift(-2) If you want to average over 2 datapoints before and after the observation (for a total of 5 datapoints) then make the window=5 . For example... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/20249149', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/860271/']} | jdg_232756 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 4734998 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
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I'm currently writing a web scraper which retrieves information from the internet. Simplified it looks like this. Data access project Objects to retrieve raw data Objects to ... | You can fix a circular reference by factoring out the things that both classes refer to into a new class, and then the old classes both refer to the new class. So in your case you could move the entities out of DataAccess and into perhaps a new Entities namespace, used by both DataAccess and Application. By doing this ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/4734998', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/241513/']} | jdg_228686 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
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<receiver android:name="MyReceiver" android:enabled="true" android:exported="true"> <intent-filter> <action android:name="android.net.c... | I don't understand if it's needed to be notified. If it were true any app could call my receiver with those actions? So If I make it false the system can send the actions to my receiver? Actually, others apps cannot "call your receiver". Other apps can just send broadcast Intent s. The System will then call all regis... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/38346567', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3290180/']} | jdg_123004 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
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I was hoping somebody could explain why #include <stdbool.h>printf("size of bool %d\n", sizeof(bool));printf("size of int %d\n", sizeof(int)); outputs to size of bool 1size o... | The _Bool type in C99 ( typedef 'ed to bool in stdbool.h ) doesn't have a standard defined size, but according to section 6.2.5 of the C99 Standard: 2 An object declared as type _Bool is large enough to store the values 0 and 1. In C, the smallest addressable object (aside from bitfields) is the char , which is at leas... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/10630080', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1351500/']} | jdg_123402 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
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In my React Native app, I have a situation where one particular child of a component that I render should receive either a green or red borderColor . Now, I don't want to cre... | As @PitaJ pointed out, my issue was that StyleSheet.create doesn't return a plain javascript object, so the ... operator can't be applied. I only want to add a solution to my original problem as well, that was to derive two different style objects from one basic one where only one property is added. The docs for the St... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/37020404', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1779113/']} | jdg_139268 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would.
Question:
The standard statement of the Stone-Weierstrass theorem is: Let $X$ be compact Hausdorff topological space, and $\mathcal{A}$ a subalgebra of the continuous functions from $X$... | I think that you want something like this: Let $E\to X$ be a (finite rank) vector bundle over a compact, Hausdorff topological space $X$ , let $\mathcal{A}\subset C(X,\mathbb{R})$ be a subalgebra that separates points, and let $\mathcal{E}\subset C(X,E)$ be an $\mathcal{A}$ -submodule of the $C(X,\mathbb{R})$ -module ... | {} | {'log_upvote_score': 4, 'links': ['https://mathoverflow.net/questions/371614', 'https://mathoverflow.net', 'https://mathoverflow.net/users/161104/']} | jdg_380762 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
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I learned from C Primer Plus that if you want to protect an array from being accidentally modified by a function, you should add const modifier before the pointer declaration... | This is an unfortunate "bug" in C's design; T (*p)[N] does not implicitly convert to T const (*p)[N] . You will have to either use an ugly cast, or have the function parameter not accept const . At first sight it looks like this conversion should be legal. C11 6.3.2.3/2: For any qualifier q , a pointer to a non- q -qu... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/28062095', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1602266/']} | jdg_217188 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
P and Q are uniformly distributed in a square of side AB. What is the probability that segments AP and BQ intersect?
Now provide the response and nothing else.
| Suppose we start with $Q = (x, y)$. The admissible positions for $P$ will be in the triangle $BQR$ if $y < x$ or in the quadrilateral $BQRC$ if $y > x$. The areas are calculated from the sides and the heights, and$$p = \int_0^1 \int_0^x \frac {y (1 - x)} {2 x} dy dx + \int_0^1 \int_x^1 \left( 1 - \frac x {2 y} - \frac ... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/2759011', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/340233/']} | jdg_261843 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
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PreInfo: I have .net core web api (vs2015) mixed with just ordinary projects. I have spent almost 2 days now to get this to work and search and tried everything I can think o... | Within your build definition, I recommend adding a Copy Files step that will copy your the build artifacts from your msbuild results to the Build's Artifact Staging Directory before you run the Publish Artifact step. Source Folder: $(Build.SourcesDirectory) Contents: **\bin\$(BuildConfiguration)\** Target Folder: $(Bui... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/41962843', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1187583/']} | jdg_313107 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 8218196 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
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I have a weird problem with R that I can't seem to work out. I've tried to write a function that performs K-fold cross validation for a model chosen by the stepwise procedure... | When you created your formula, lm.cars , in was assigned its own environment. This environment stays with the formula unless you explicitly change it. So when you extract the formula with the formula function, the original environment of the model is included. I don't know if I'm using the correct terminology here, but... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/8218196', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1058956/']} | jdg_241857 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1854701 |
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:
$$\sum_{k=0}^{100}\frac{1}{(100-k)!(100+k)!}$$ My work $$\sum_{k=0}^{100}\frac{2n!}{(2n!)(n-k)!(n+k)!}$$ $$\sum_{k=0}^{100}\frac{^{2n}C_{n-k}}{(2n!)}$$$$\sum_{k=0}^{100}... | Trying to parse your request, we want to compute (for $n=100$, or maybe for any $n\in\mathbb{N}$)$$ \sum_{k=0}^{n}\frac{1}{(n-k)!(n+k)!} = \sum_{k=0}^{n}\frac{1}{k!(2n-k)!} = [x^{2n}]\left(\sum_{k=0}^{n}\frac{x^k}{k!}\right)^2=\frac{1}{(2n)!}\sum_{k=0}^{n}\binom{2n}{k}. $$Due to the symmetry of binomial coefficients,$$... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/1854701', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/346279/']} | jdg_121111 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I don't know why this simple code is not working: int main(){ const char* c = "ret"; typedef unsigned char GOK_UINT8; typedef GOK_UINT8* pGOK_UINT8; const pGOK_UI... | Can someone tell me why the reinterpret_cast should not work? AFAICS, the reinterpret_cast should work fine, but the assignment afterwards should cause an error. That's because a const GOK_UINT8* is a non- const pointer to const GOK_UINT8 objects, while a const pGOK_UINT8 is a const pointer to non- const objects. The f... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/3360478', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/278218/']} | jdg_309610 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 939278 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
First, I assume each structure-specific sequences would have different ways to remove an item: Vectors could be by index, List could be remove first or last, Set should be pa... | There is no single interface for removing things from all of Clojure's data structure types, possibly because of the different performance characteristics. (disj #{:foo :bar} :foo) ; => #{:bar}(dissoc {:foo 1 :bar 2} :foo) ; => {:bar 2}(pop [:bar :foo]) ; => [:bar](pop (list :foo :bar)) ; =>... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/939278', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/70288/']} | jdg_347025 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 354705 |
Below is a question asked on the forum unix.stackexchange.com. Provide a good and informational response to it like a helpful human would.
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I just broke a machine running Linux Mint with KDE 4. Thankfully I managed to back up /home/ , so I have all my data. Now I've installed Kubuntu with KDE 5, and I'm tryi... | I've now found that the issue was that the service file automatically generated by systemd-sysv-generator lacks an install section with a WantedBy option. I added the following to my generated file at /etc/systemd/system/programexample.service which allowed me to properly enable the service: [Install]WantedBy = multi... | {} | {'log_upvote_score': 4, 'links': ['https://unix.stackexchange.com/questions/354705', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/48496/']} | jdg_89849 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2572105 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
Let $f:[a,b)\rightarrow \mathbb{R}$ be a continuous function with $\lim_{x \uparrow b} f(x) = \infty$. I have to show that $f$ is Lebesgue integrable if and only if the ... | I think a large part of your confusion can be resolved by understanding how to think about $\sigma$-algebras as "containing information". Consider the probability space $(\Omega,\mathcal F,\mathbb P)$, and the random variable $X$ on this probability space. Intuitively, you should imagine $\omega \in \Omega$ being drawn... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/2572105', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/508619/']} | jdg_192606 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 37963625 |
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 encode some images of same resolution into a video file using, For that I have tried: jCodec jcodec ..example description But it is very time consuming and not... | Xuggler is deprecated , use Humble-Video instead. It already comes with some demo projects, including how to take screenshots and convert it to a video file: RecordAndEncodeVideo.java /******************************************************************************* * Copyright (c) 2014, Art Clarke. All rights reserved.... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/37963625', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/-1/']} | jdg_371395 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I'm trying to start the front end (only HTML/CSS) page on top of a Rails app and having trouble with the 320px viewport. There are elements that will not scale down, and I ca... | You need to add this into your HTML head: <meta name="viewport" content="width=device-width, initial-scale=1.0"> More here on View port Control Currently with your HTML and this updated CSS below It is working fine for me, the .templeHeader is responsively centering. Please see bottom of code snippet for more. @import ... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/35425506', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2805144/']} | jdg_272311 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
This question has been asked before , however I am interested in seeing why my approach to finding a solution does not work. $2+ f(x)f(y)=f(x)+f(y) +f(xy) $ , if $f(2)=5... | $f(0)=2$ does not lead to valid solution to the equation. If $f(0)=2$ put $x=0$ to get $2+2f(y)=4+f(y)$ or $f(y)=2$ for all $y$ . This is in conflict with the given condition $f(2)=5$ so we cannot take $f(0)=2$ . | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/3186060', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/-1/']} | jdg_83901 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2596673 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
Suppose $B$ is a Banach space and $T:B\rightarrow B$ is a linear map that satisfies $T^2=I$. Is it possible for $T$ to have non-empty continuous or residual spectrum?
N... | If $X:\Omega\to\mathbb R$ is measurable in the sense that $X^{-1}(B)\in\mathcal F$ for every element $B$ of Borel $\sigma$-algebra $\mathcal B(\mathbb R)$ then its CDF $F_X$ is defined by: $$F_X(x):=\mathbb P(\{\omega\in\Omega\mid X(\omega)\leq x\})$$ The RHS is abbreviated by $\mathbb P(\{X\leq x\})$ or (a bit shorter... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/2596673', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/91696/']} | jdg_85274 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I was wondering what would be the best approach for creating tables in a pdf that have rounded corners using the iTextSharp 5.x+ library.
Now provide the response and nothin... | If you have iTextSharp source code, add the following to PdfContentByte class: /// <summary> /// Enumuration for defining corners you want rounded. /// </summary> [Flags()] public enum Corners {None = 0,All=15,Top=3,Bottom=12, TopLeft = 1, TopRight=2, BottomLeft=4, BottomRight=8}; ///... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/2557217', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/282542/']} | jdg_135163 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum chemistry.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
I am tasked with writing a molecular equation, an overall ionic equation, and a net ionic equation for the reaction between an aqueous solution of phosphoric acid, ... | The second equation you’ve given appears to be the right overall ionic equation. Phosphate is a weak acid, $\ce{NaOH}$ is a strong base. We expect NaOH to dissociate at any pH, where the speciation of phosphate ($\ce{H3PO4}$, $\ce{H2PO4-}$, $\ce{HPO4^2-}$, and $\ce{PO4^3-}$) depends on pH. A “net ionic equation” doesn’... | {} | {'log_upvote_score': 4, 'links': ['https://chemistry.stackexchange.com/questions/1252', 'https://chemistry.stackexchange.com', 'https://chemistry.stackexchange.com/users/618/']} | jdg_357404 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 15863659 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Do I have to push my elements one by one? I tried something like String[] array;array=...Vector<String> vector = new Vector<String>(array); but my eclipse marks this as an er... | Vector doesn't have a constructor that accepts an array directly. Assuming that array is of type String[] , you could do Vector<String> vector = new Vector<String>(Arrays.asList(array)); Better to use ArrayList as it doesn't have the overhead of having synchronized methods. You could use List<String> list = new ArrayLi... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/15863659', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1297546/']} | jdg_171013 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 13712012 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Edit: I'm a new ruby on rails student. Following my Git Push Heroku Master, I am running into issues with Heroku. Here is the latest and greatest, aborting the rake assets:pr... | See the Rails 3.1+ Asset Pipeline on Heroku Cedar article. This exact scenario is covered in the Troubleshooting section. In short, your Heroku application has a strong separation between building (including asset compilation) and running (where your application becomes available). This is consistent with the 12-factor... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/13712012', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1507371/']} | jdg_95643 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 176127 |
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would.
Question:
I suspect this problem is very famous and it must be studied very well. But I searched in Google and I did not find good reference. I will appreciate any answer and reference ... | If $g_1(x)$ and $g_0(x)$ are relatively prime, then there are infinitely many irreducibles of the form $g_1(x) y + g_0(x)$. This is due to Kornblum and Landau (1911) and recorded in many places; see Chapter 4 of Number Theory in Function Fields for a clear modern exposition. For $G(x,y) = \sum_{i=0}^n g_i(x) y^i$ for $... | {} | {'log_upvote_score': 4, 'links': ['https://mathoverflow.net/questions/176127', 'https://mathoverflow.net', 'https://mathoverflow.net/users/19885/']} | jdg_367167 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 44046659 |
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 got an entity @Entity@Table(name = "books")public class Book { @Id @GeneratedValue(strategy = GenerationType.AUTO) private Long id; private String name; @... | Spring Data Rest hides the ID by default, in order to have it in the JSON you have to manually configure that for your entity. Depending on your spring version you can either provide your own configuration (old): @Configurationpublic class ExposeEntityIdRestConfiguration extends RepositoryRestMvcConfiguration { @Ove... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/44046659', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1432980/']} | jdg_70340 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3577346 |
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 if $C$ is a planar closed curve of perimeter $P=0$ , then it encloses an area of $A=0$ . This might seem like a stupid and obvious question, but the only mathe... | One can apply the Integral Chebyshev inequality to $f(t) = \frac{1}{1+t^2}$ and $g(t) = e^{t}$ . Since $f$ and $g$ are of opposite monotonicity on $[0, x]$ this gives $$ \int_0^x f(t) g(t) \, dt < \frac 1x \int_0^x f(t) \, dt \int_0^x g(t) \, dt$$ for $x > 0$ . Strict inequality holds because both functions are not con... | {} | {'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/3577346', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/337265/']} | jdg_258651 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 25736083 |
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 my table view is empty, I want to add a simple label into the tableview footer to display a "no content" message. It was working fine when I was setting the frames of th... | You shouldn't set translatesAutoresizingMaskIntoConstraints to NO for table views, their cells, or table header and footer views (or for your controller's self.view for that matter). It's ok to use constraints for views inside those views (the content view of cells or the header and footer views). I added a simplified ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/25736083', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/145552/']} | jdg_206177 | PrimeIntellect/stackexchange-question-answering |
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Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
Functions $f(x)$ and $g(x)$ are both continuously differentiable in $x$ for $x\in[0,c]$ . We know both functions are decreasing and concave in $x$ anywhere on $[0,c]$ . ... | It's not true. $\textbf{Counterexample}.$ Consider functions $f(x)=-\left(\frac{1}{16}\right)^{1-x}$ (red curve) and $g(x)=-\log_{\frac{1}{16}}(1-x)$ (blue curve) on a segment $[0;0,9]$ . Equation $f(x)=g(x)$ has three roots (two obvious: $x=\frac{1}{2}$ and $x=\frac{3}{4}$ and one more, which can find numerically $x\a... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/4626100', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/1141931/']} | jdg_233612 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 261347 |
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 What is Mathematics, pg. 15 , a proof of $(1+p)^n \geq 1 + np$, for $p>-1$ and positive integer $n$ goes as follows: Substitute $r$ for $n$, then multiply both sides ... | We know that $$(1+p)^{r+1}\ge 1+rp+p+rp^2\;.\tag{1}$$ We know that $rp^2\ge0$, which means that $$1+rp+p+rp^2\ge1+rp+p\;.\tag{2}$$ Put $(1)$ and $(2)$ together: $$(1+p)^{r+1}\ge 1+rp+p+rp^2\ge1+rp+p\;.\tag{3}$$ And this is what we wanted to show: $(1+p)^{r+1}\ge1+(r+1)p$. The point is really just that if $(1)$ is true,... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/261347', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/14034/']} | jdg_193388 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 37387414 |
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 trim the text which I get from kendo editor like this. var html = " T "; // This sample text I get from Kendo editor console.log("Actual... | becomes a non-break-space character , \u00a0 . JavaScript's String#trim is supposed to remove those , but historically browser implementations have been a bit buggy in that regard. I thought those issues had been resolved in modern ones, but... If you're running into browsers that don't implement it correctly, y... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/37387414', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2060349/']} | jdg_201389 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 71502 |
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would.
Question:
Here is a puzzle I found in Mitteilungen der DMV (roughly, "Letters of the German Society of Mathematicians"), issue 19/2011. It was posed by Alfred Schreiber in "Wie man Has... | That's a standard inequality, though perhaps not well enough known for the usual "take it to stackexchange" comment. Denote by $\partial \Sigma$ the boundary of any set $\Sigma$ in the plane. In the case that $s$ is a polygon we can use induction on the number $k$ of edges of $\partial s$ not contained in the $\parti... | {} | {'log_upvote_score': 5, 'links': ['https://mathoverflow.net/questions/71502', 'https://mathoverflow.net', 'https://mathoverflow.net/users/16793/']} | jdg_123794 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3090437 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
Suppose that real number $x$ satisfies $$\sqrt{49-x^2}-\sqrt{25-x^2}=3$$ What is the value of $\sqrt{49-x^2}+\sqrt{25-x^2}$ ? This is what I did:I try to multiply by the... | You basically used the formula $$a+b=\frac{a^2-b^2}{a-b}$$ in an indirect way. The problem gave you $a-b$ and, since $a,b$ are square roots of simple expressions, it is easy to calculate $a^2-b^2$ . And for the same reason, the same trick can be used to calculate $$\sqrt{\mbox{nice}}\pm \sqrt{\mbox{nice}}$$ whenever wh... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/3090437', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/595084/']} | jdg_307800 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 7612006 |
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 a little confused after reading something in a textbook. Regarding the code: void doSomeWork(const Widget& w){ //Fun stuff.}doSomeWork(Widget(15)); doSomeWork() takes... | In C++ this kind of expression is a form of a cast, at least syntactically. I.e. you use a C++ functional cast syntax Widget(15) to create a temporary object of type Widget . Even when you construct a temporary using a multi-argument constructor (as in Widget(1, 2, 3) ) it is still considered a variation of functional ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/7612006', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/857994/']} | jdg_140935 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 47043 |
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would.
Question:
Local cohomology with respect to an ideal $\mathfrak{a}$ is often studied over a Noetherian ring $R$ . However, the proof of a lot of basic results does not rely on noetherian... | The answer seems to be "no": only for contractible spaces Y (and Y=$\emptyset$) the functor [-,Y] inverts weak equivalences. As mentioned above I wrote an argument in https://arxiv.org/abs/1709.08734 . It uses Jeff Strom and Tom Goodwillie's idea of considering a space whose path-components are the singletons. In this ... | {} | {'log_upvote_score': 4, 'links': ['https://mathoverflow.net/questions/47043', 'https://mathoverflow.net', 'https://mathoverflow.net/users/11025/']} | jdg_278849 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 4554360 |
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 did some algebraic manipulation and arrived at the following statement: $\tan{\frac{x}{2}}=\frac{\tan{x}}{\sqrt{\tan^2{x}+1}+1}$ . I can't find anything about this ide... | Your identity holds whenever $\cos x>0$ , because then we have $$\frac{\tan x}{\sqrt{\tan^2x+1}+1}=\frac{\tan x}{\sqrt\frac1{\cos^2x}+1}=\frac{\sin x}{1+\cos x}=\frac{2\sin\frac x2\cos\frac x2}{2\cos^2\frac x2}=\tan\frac x2.$$ When $\cos x<0$ , an analogous computation gives $$\frac{\tan x}{\sqrt{\tan^2x+1}+1}=\frac{\s... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/4554360', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/1087124/']} | jdg_151021 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 846221 |
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 slider with values ranging from 0 to 100. I want to map them to a range from 100 to 10,000,000. I've seen some functions scattered around the net but they're all in ... | You can use a function like this: function logslider(position) { // position will be between 0 and 100 var minp = 0; var maxp = 100; // The result should be between 100 an 10000000 var minv = Math.log(100); var maxv = Math.log(10000000); // calculate adjustment factor var scale = (maxv-minv) / (maxp-minp); ret... | {} | {'log_upvote_score': 9, 'links': ['https://Stackoverflow.com/questions/846221', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/103773/']} | jdg_104660 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 537356 |
Below is a question asked on the forum serverfault.com. Provide a good and informational response to it like a helpful human would.
Question:
During our annual security review I was reminded of an incident earlier this year where we received a threat to our organizations web server. It was over a organization policy ... | what other steps should I take to lock down my server as well as protect from DDoS? Firewall off any ports and protocols that are unused. Limit access to only trusted IPs where applicable and possible. Apply all security patches and updates in a timely fashion Implement a network monitor that can alert on suspicious bu... | {} | {'log_upvote_score': 4, 'links': ['https://serverfault.com/questions/537356', 'https://serverfault.com', 'https://serverfault.com/users/98719/']} | jdg_164715 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3672111 |
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 code respond_to do |format| format.html format.json { render :json => @switches } format.xml { render :xml => @switches.to_xml } format.all { render :text => "only HT... | In rails3 you would write: respond_with(@switches) do |format| format.html format.json { render :json => @switches } format.xml { render :xml => @switches } format.all { render :text => "only HTML, XML, and JSON format are supported at the moment." }end But this only works in correspondence with a respond_to blo... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/3672111', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/325418/']} | jdg_262364 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 565811 |
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 test data in a file text.txt abtesttest21,23,3 I want to output the file starting from the line number where test is + 2. I need this to be a oneliner usable in g... | Using ed : $ printf '%s\n' '/^test/+2,$p' | ed -s file1,23,3 In the ed editor, the command /^test/+2,$p would print ( p ) the lines from two lines beyond the line matching ^test , to the end ( $ ). Using awk : $ awk '/^test/ { flag = 1; count = 1 }; (flag == 1 && count <= 0); { count-- }' file1,23,3 Here, a line will b... | {} | {'log_upvote_score': 4, 'links': ['https://unix.stackexchange.com/questions/565811', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/172751/']} | jdg_77223 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 39576189 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Before you think of it, this is not the same. I think this should be pretty much self explanatory. I would like to include class descriptions in the Swagger docs. My Swagger ... | Hm... so maybe if someone else runs into this. Basically I found one way this can be done and I realized why it was not done by default. Not sure if it is the best approach but here it goes. In my solution, the POCOs are located in a project separate to the actual API and thus, the comment description of MyAwesomeModel... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/39576189', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1376691/']} | jdg_333275 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 40195290 |
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 unix socket in .NET Core on Linux (Ubuntu 16.04): var unixSocket = "/var/run/mysqld/mysqld.sock";var socket = new Socket(AddressFamily.Unix, SocketType.Stream,... | Update: .NET Standard 2.1 / .NET Core 2.1 contains a UnixDomainSocketEndPoint Class Original answer, applies to versions of .NET Standard / .NET Core prior to 2.1: There does not seem to be a built-in UnixEndPoint class for .NET Core or a library that implements one at the time of this writing. The UnixEndPoint class ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/40195290', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1419658/']} | jdg_296138 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 692913 |
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:
Write the following as a product of disjoint cycles: $(1 3 2 5 6)(2 3)(4 6 5 1 2)$ I know from my solutions guide that the answer is: $(1 2 4)(3 5)(6)$ but I don't know ... | First write this product with one permutation and then into product of disjoint cycles: $$(1 3 6)(1357) (1234)= \left(\begin{matrix}1&2&3&4&5&6\\2&4&5&1&3&6\end{matrix}\right)=(1 2 4)(3 5).$$ | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/692913', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/105739/']} | jdg_305290 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 110178 |
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 start with the example in Finding the perimeter, area and number of sides of a Voronoi cell with RunnyKine 's answer: pts = RandomReal[4, {20, 2}];vor = Voronoi... | So this would create a mesh region where we've removed all the cells whose area is larger than the average area, pts = RandomReal[4, {20, 2}];vor = VoronoiMesh[ pts, {{0, 4}, {0, 4}}];HighlightMesh[vor, {Style[2, White], Style[1, Thick, Red], Labeled[2, "Index"]}]vor2 = Show[ Graphics /@ Select[MeshPrim... | {} | {'log_upvote_score': 5, 'links': ['https://mathematica.stackexchange.com/questions/110178', 'https://mathematica.stackexchange.com', 'https://mathematica.stackexchange.com/users/19892/']} | jdg_247766 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 270982 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
Let $R$ be a finite commutative unitary ring. How to prove that each prime ideal of $R$ is maximal?
Now provide the response and nothing else.
| Let $\mathfrak{p}$ be a prime ideal in $R$. Then $R/\mathfrak{p}$ is a finite integral domain, thus it is a field, hence $\mathfrak{p}$ is maximal. | {} | {'log_upvote_score': 6, 'links': ['https://math.stackexchange.com/questions/270982', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/29628/']} | jdg_159874 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 12139482 |
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 Windows-7 with java 7 update 6 and found this weird (at least to me) behavior - I have two files E:\delete1.txt and E:\delete2.txt both are read only files, when I ... | As discussed here - The issue is that java.io.File has many oddities, on Windows in particular. In this case it resets the file attributes before it deletes the file so this is why it does not fail as might be expected. It is behavior that dates back >10 years and so would be risky to change now. It has several other o... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/12139482', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/617612/']} | jdg_122487 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 870 |
Below is a question asked on the forum serverfault.com. Provide a good and informational response to it like a helpful human would.
Question:
My external network interface on a gentoo box will produce these errors intermittently (maybe 3-4 a week). It is hooked up to Optimum online, and gets its IP via DHCP. It's a... | When a DHCP lease expires, the DHCP client attempts a renewal - it contacts the original leasing DHCP server, requests a new lease, and if everything goes well it gets one and goes merrily on it's way. After a period of time, if it doesn't get a response, or it keeps getting negative responses from the original server,... | {} | {'log_upvote_score': 4, 'links': ['https://serverfault.com/questions/870', 'https://serverfault.com', 'https://serverfault.com/users/401/']} | jdg_127694 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 8706352 |
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 reason why Magento has a _construct and a __construct method? Why does the additional _construct exist? Could anything achieved by having the extra _construct me... | Best answer I can find: http://www.magentocommerce.com/boards/viewthread/76027/#t282659 Basically, the root-level class (from which all other classes inherit) implements __construct , which PHP calls automatically whenever a class is constructed. Right now, this root-level class simply calls _construct , which contains... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/8706352', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/283844/']} | jdg_354397 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 9003690 |
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 currently facing the problem to check whether a property of an Object (NSManagedObject) exists or not. Unfortunately the method [[MyObject class] respondsToSelector:@sel... | [[MyObject class] respondsToSelector:...] asks whether the metaobject responds to that selector. So, in effect, it asks whether there is a class method with that selector. Your code would return YES if you had: + (NSString *)myProperty; It returns NO because you have the equivalent of the instance method: - (NSString *... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/9003690', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/925622/']} | jdg_270940 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1755958 |
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 remove the BOM from an XML file that is being created? I have tried using the new UTF8Encoding(false) method, but it doesn't work. Here is the code I have: XmlDocument... | You're saving the file twice - once with XmlTextWriter and once with xmlDoc.Save . Saving from the XmlTextWriter isn't adding a BOM - saving with xmlDoc.Save is. Just save to a TextWriter instead, so that you can specify the encoding again: using (TextWriter writer = new StreamWriter(filename, false, ... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/1755958', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/397676/']} | jdg_258881 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3458 |
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:
Trying to plot with complex quantities seems not to work properly in what I want to accomplish. I would like to know if there is a general rule/way of plotting wh... | The way you could use ContourPlot here, assuming your variable f is complex ( f == x + I y ) : eqn[x_, y_] := (25 Pi ( x + I y) I)/(1 + 10 Pi ( x + I y) I){ContourPlot[Re@eqn[x, y], {x, -1, 1}, {y, -1, 1}, PlotPoints -> 50], ContourPlot[Im@eqn[x, y], {x, -1, 1}, {y, -1, 1}, PlotRange -> {-0.5, 0.5}, PlotPoints -> 50]... | {} | {'log_upvote_score': 6, 'links': ['https://mathematica.stackexchange.com/questions/3458', 'https://mathematica.stackexchange.com', 'https://mathematica.stackexchange.com/users/116/']} | jdg_249776 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 21046377 |
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 object (let's call it X) that is accessible by other object by the means of std::shared_ptr . However at some point in the on of these objects need to create an uni... | If you simply want to copy the object, and get a shared pointer to the new object, then that's bar = std::make_shared<Bar>(*bar); This assumes that Bar is the actual type of the target. If you want to copy arbitrary subclasses of Bar , then you'll need a virtual function to copy the object, for example: struct Bar { ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/21046377', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2982458/']} | jdg_347531 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3300527 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I would like to know how to set an image to a UIBarButtonItem which will then be added to a UIToolbar, by using InitWithImage when creating a UIBarButtonItem. I am doing the ... | Here's an example that creates a toolbar button from the Facebook logo.Create a pointer to an image (file already added to xCode), create a custom button, change the size of the button to match the image, set image of button, create toolbar button from button view. UIImage *faceImage = [UIImage imageNamed:@"facebook.pn... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/3300527', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/398019/']} | jdg_134854 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2738138 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
I know it's probably a stupid question, but I'm confused. I have a set {$x\in\mathbb R, \frac{1}{x} \le 1$} that I want to represent as interval/s. Thinking about it log... | In your second analysis you must intersect the conditions within each case. In 1. you got $x>0$ and $x\geq 1$. The conjuction of these two is $x\geq 1$. In 2. you got $x<0$ and $x\leq 1$. The conjunction of these two is $x<0$. The idea is that the solution $x\leq 1$ must be taken into account together with the assumpti... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/2738138', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/494405/']} | jdg_372382 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 8013170 |
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 checked as many SO pages as I could and tried everything I found, but none have been successful. I also checked the PEP page regarding importing and tried every exampl... | If scripts are executed from inside a package, then various hacks need to be employed to get the imports to work properly. Probably the most common of these is to manipulate sys.path : import sys, ossys.path.insert(0, os.path.dirname(os.path.dirname(os.path.abspath(__file__))))from src import stringbuilderdel sys.pa... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/8013170', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/-1/']} | jdg_98524 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1357771 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
This might be a silly question, but what is the mathematical foundation for the ordering of the real numbers? How do we know that $1<2$ or $300<1000$... Are the real num... | You ask that as a foundational question. The answer is simple. It depends on your foundational approach to the real numbers. We can begin by constructing the natural numbers, then the integers, then the rationals, and then the real numbers by one mechanism or another. In this approach, the order on $\Bbb N$ is extended... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/1357771', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/-1/']} | jdg_356293 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2432570 |
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 got stuck in this problem. after getting $ y = y(x) = c_1e^{x} + c_2e^{-x}+\left(\frac{1}{2}\right)x\sinh(x)$ I'm not sure what's next.
Now provide the response and n... | $e^{A}=I+A+A^2/2+ \ldots$ $A^{n}=(PDP^{-1})^{n}=PDP^{-1}PDP^{-1}\cdots PDP^{-1}=PD^{n}P^{-1}$ Thus $e^{A}=PP^{-1}+PDP^{-1}+PD^{2}P^{-1}/2+\ldots$. Factoring out the $P$ and $P^{-1}$ on the left and right gives $e^{A}=P(I+D+D^{2}/2+\ldots)P^{-1}=Pe^{D}P^{-1}$. | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/2432570', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/451831/']} | jdg_181667 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 304669 |
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 performance of a Direct3D application seems to be significantly better in full screen mode compared to windowed mode. What are the technical reasons behind this? I guess ... | Here are the cliff notes on how things work underneath. Monitor screen always needs to be associated with so-called primary surface to be able to display anything, i.e. videocard can only scan out of one surface in video memory. When application is fullscreen (and everything was set up correctly to enable flipping), pr... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/304669', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/23694/']} | jdg_287250 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 97284 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
If I blow up a complex manifold along a submanifold, can you give me a picture to have in mind for the blown-up manifold? Can you also tell me why this is the right pict... | The following is more or less the description you can find in Griffiths and Harris's Principles of Algebraic Geometry on page 182. For the case of a point in a complex manifold, the idea is to take a local neighborhood homeomorphic to a disc $\Delta$ in $\mathbb{C}^n$ centered at 0, and take the projection $\pi: \tilde... | {} | {'log_upvote_score': 7, 'links': ['https://math.stackexchange.com/questions/97284', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/22202/']} | jdg_382211 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 8504411 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
please consider the following code: typedef struct Person* PersonRef;struct Person { int age;};const PersonRef person = NULL;void changePerson(PersonRef newPerson) { person... | Note that typedef int* intptr;const intptr x; is not the same as: const int* x; intptr is pointer to int. const intptr is constant pointer to int , not pointer to constant int . so, after a typedef pointer, i can't make it const to the content anymore? There are some ugly ways, such as gcc's typeof macro : typedef int*... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/8504411', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1085684/']} | jdg_164446 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3296893 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
widget.bind('<Button-1>',callback) # binding def callback(self,event) #do something I need to pass an argument to callback() . The argument is a dictionary object.
Now ... | You can use lambda to define an anonymous function, such as: data={"one": 1, "two": 2}widget.bind("<ButtonPress-1>", lambda event, arg=data: self.on_mouse_down(event, arg)) Note that the arg passed in becomes just a normal argument that you use just like all other arguments: def on_mouse_down(self, event, arg): prin... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/3296893', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/313841/']} | jdg_323289 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 677492 |
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:
A ball rolls from point $A$ ( $v_0 = 0 \; m / s$ ) to the right along a friction-less path. We can then calculate the speed of the ball at the points $B$ and $C$ usin... | Using conservation of energy, time does not enter into the relationships, and both gravitational potential energy and kinetic energy are proportional to the mass, so mass cancels out. Therefore as you indicate you can calculate the speed at B and C, given the speed at A (zero here) using the conservation of energy. S... | {} | {'log_upvote_score': 4, 'links': ['https://physics.stackexchange.com/questions/677492', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/319463/']} | jdg_375012 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2401454 |
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:
Thinking about some problem I arrived at the following question: Let $\Omega \neq \emptyset$ a set and $\Sigma$ a $\sigma$-algebra on $\Omega$. Consider the product spac... | No this is, in general, not true. Example 1: Consider $\Omega = (0,1)$ endowed with the $\sigma$-algebra $$\Sigma = \{A \subseteq (0,1); \text{$A$ is countable or $A^c$ is countable}\}$$ which contains, in particular, all singletons. Set $A:= (0,1/2)$ and $$M := A \times A = \{(x,x); x \in A\}.$$ Since the slices $M_x... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/2401454', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/333729/']} | jdg_154405 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 340874 |
Below is a question asked on the forum meta.stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
In reference to this question and this meta post. In said question, I initially posted this code: if (condition1) { do_something(); return;}if (condition2) { if... | The problem is that an MCVE is not defined by what it is , but rather what it should do : provide readers of the question with a clear example of your problem which leaves no room for guesswork . That means you don't need to include #include s and int main(void) (unless your problem is with the #include s themselves, o... | {} | {'log_upvote_score': 5, 'links': ['https://meta.stackoverflow.com/questions/340874', 'https://meta.stackoverflow.com', 'https://meta.stackoverflow.com/users/6850771/']} | jdg_208455 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 57128891 |
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 Xampp yesterday to create some simple Web-based utility tool.Today I wanted to continue working on it but xampp control panel gave me some weir errors. This is the MyS... | This is almost certainly a known bug in mariaDB (ie mySQL ). See ApacheFriends.org for the description. Problem occurs after user password changes - often user root . General advice seems to be to cut your losses and downgrade your XAMPP to 7.3.5 Otherwise the problem may later recur even after a complete uninstall/re-... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/57128891', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1897700/']} | jdg_288415 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 417039 |
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 to use $\displaystyle j_n(x)=(-1)^nx^n\left(\frac{1} {x} \frac{d} {dx}\right)^n \left(\frac{\sin x}{x}\right)$? for example, to find $j_3(x)$
Now provide the respon... | The formula you provided uses a compact way of writing operators. For example, at $n = 2$, the term $\displaystyle \left(\frac{1}{x} \frac{d}{dx}\right)^2$ should be understood to mean the operator$$\displaystyle \left(\frac{1}{x} \frac{d}{dx}\right)^2=\frac{1}{x} \frac{d}{dx}\frac1x \frac d{dx}.$$ You can see the valu... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/417039', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/80823/']} | jdg_300708 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 40595832 |
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 prevent fatal error in my theme if the ACF plugin is deactivated or not installed. The main function of the plugin is get_field() .I wrote this code in my functions... | ACF itself uses a check to see if the framework has been loaded. If it has already been included and invoked by another plugin or theme, then ACF won't re-instantiate its own class again. It does this with a class check: if (!class_exists('ACF')) { // The ACF class doesn't exist, so you can probably redefine your f... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/40595832', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4300553/']} | jdg_278502 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 90191 |
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:
A DoS (short for "denial of service") attack is a form of attack used on web services which aims to "crash" the service. Is there any motive of this form of attack b... | In general a (Distributed) Denial of Service attack will not provide you with much information directly. However, there are a few scenarios where information could be gleaned as a result of a DoS. The following are a few examples, but this is not at all exhaustive: A load balancer may divulge internal subnet informatio... | {} | {'log_upvote_score': 7, 'links': ['https://security.stackexchange.com/questions/90191', 'https://security.stackexchange.com', 'https://security.stackexchange.com/users/3286/']} | jdg_305462 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3333013 |
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:
So I'm reading Ordinary differential equations by Tenenbaum and Pollard and there was this problem in exercise 3 of first chapter, the question is:Is the function define... | There is a thought process here which might feel circular, but the proof itself is not. Keep in mind that I'm allowed to use however silly a thought process I want - the only thing that matters is whether the actual proof produced at the end of the day is valid. If I got my inspiration for what $\delta$ should be by ro... | {} | {'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/3333013', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/654866/']} | jdg_293438 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 806020 |
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# what does exactly happen in the background when you do a comparison with the "==" operator on two objects? does it just compare the addresses? or does it something like... | As far as I know: it compares value types by value (equality) it compares reference types by reference (identity) except if the == operator is overloaded, then it calls that one. Equals is implemented in object and can be overridden as well. The default implementation in Object performs a reference comparison for refer... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/806020', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/97688/']} | jdg_256640 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 114690 |
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would.
Question:
What is the standard reference for the fact that the classifying space of a strict monoidal category is a topological monoid with respect to the operation induced by the tenso... | Well, if you are going to reference me somewhere, I can give you something more explicit. The cited Corollary 11.7 is only about topological monoids. However Theorem 4.10 of "$E_{\infty}$ spaces, group completions, and permutative categories" ( http://www.math.uchicago.edu/~may/PAPERS/13.pdf ) has the precise statem... | {} | {'log_upvote_score': 4, 'links': ['https://mathoverflow.net/questions/114690', 'https://mathoverflow.net', 'https://mathoverflow.net/users/3995/']} | jdg_266755 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 20269435 |
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 playing with the Python interpreter (Python 3.2.3) and tried the following: >>> dir(1) This gave me all the attributes and methods of the int object. Next I tried: >>> ... | It's probably a consequence of the parsing algorithm used. A simple mental model is that the tokenizer attempts to match all the token patterns there are, and recognizes the longest match it finds. On a lower-level, the tokenizer works character-by-character, and makes a decision based only on the current state and inp... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/20269435', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1809377/']} | jdg_160579 | PrimeIntellect/stackexchange-question-answering |
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