source
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task_type
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stackexchange
llm_judgeable_groundtruth_similarity
82626
Below is a question asked on the forum cs.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I am new to programming language theory. I was watching some online lectures in which the instructor claimed that a function with polymorphic type forall t: Type, t->t be ...
The first thing to note is that this isn't necessarily true. For example, depending on the language a function with that type, besides being the identity function, could: 1) loop forever, 2) mutate some state, 3) return null , 4) throw an exception, 5) perform some I/O, 6) fork a thread to do something else, 7) do call...
{}
{'log_upvote_score': 6, 'links': ['https://cs.stackexchange.com/questions/82626', 'https://cs.stackexchange.com', 'https://cs.stackexchange.com/users/76133/']}
jdg_124349
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
19024917
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 server with multiple websites hosted and distinguishable using name-based virtual hosting of apache. How do I set it so that a specific website is hosted when the ip...
What you want to use is the _default_ VirtualHost . <VirtualHost _default_:80> DocumentRoot /www/default80 # ...</VirtualHost> It's described here . Basically if nothing else match the request the _default_ host will be used. EDIT This could also be written as: <VirtualHost *> DocumentRoot /www/default # .....
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/19024917', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2118666/']}
jdg_302737
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
12234046
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: In my app (Rails 3.0.5, Ruby 1.8.7), I created an import tool to import CSV data from file. Problem: I asked my users to export the CSV file from Excel in UTF-8 encoding but ...
You can use Charlock Holmes, a character encoding detecting library for Ruby. https://github.com/brianmario/charlock_holmes To use it, you just read the file, and use the detect method. contents = File.read('test.xml')detection = CharlockHolmes::EncodingDetector.detect(contents)# => {:encoding => 'UTF-8', :confidence =...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/12234046', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1041509/']}
jdg_97362
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
175292
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: This arises from the question What is the relationship between $a$ and $m$ , which I'm afraid I answered just by looking it up in Schutz's book . However Schutz (as h...
Sufficient conditions for a discrete energy spectrum: In one-dimension Sturm-Louville theory implies that the spectrum is purely discrete provided that the system is restricted to a finite interval [a,b] (with appropriate boundary conditions). I assume (but don't know) this can be extended to the case of a system restr...
{}
{'log_upvote_score': 4, 'links': ['https://physics.stackexchange.com/questions/175292', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/1325/']}
jdg_128294
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
32805
Below is a question asked on the forum scicomp.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I know that people often replace consistent mass matrices with lumped diagonal matrices. In the past, I've also implemented a code where the load vector is assembled...
In the finite element method, the matrix entries and right hand side entries are defined as integrals. We can, in general, not compute these exactly and apply quadrature. But there are many quadrature formulas one could choose, and one often chooses them in a way so that (i) the error introduced by quadrature is of the...
{}
{'log_upvote_score': 5, 'links': ['https://scicomp.stackexchange.com/questions/32805', 'https://scicomp.stackexchange.com', 'https://scicomp.stackexchange.com/users/549/']}
jdg_71650
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
44432378
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I'm working with firebase functions and arrived to hundreds of functions, and now it is very hard to manage it in single index.js file as shown in their lots of examples I tr...
Working code example: file structure: --firebase.json--functions --node_modules --index.js --package.json --src --groupFunctions.js --authFunctions.js --storageFunctions.js index.js file: require('./src/groupFunctions.js')(exports);require('./src/authFunctions.js')(exports);require('./src/storageFunctions....
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/44432378', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4378475/']}
jdg_71337
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
374120
Below is a question asked on the forum serverfault.com. Provide a good and informational response to it like a helpful human would. Question: When I strace my MySQL process, I keep finding the same error over and over: setsockopt(240, SOL_IP, IP_TOS, [8], 4) = -1 EOPNOTSUPP (Operation not supported)futex(0x87ab944, F...
It was my original assumption that you were posting this because it was causing a complete failure. Understanding now that it is not a failure, I'm going to explain why this is ok. As David said, IP_TOS is a call to set the Type of Service for the Quality of Service provision. The local connection (which your my.cnf sh...
{}
{'log_upvote_score': 4, 'links': ['https://serverfault.com/questions/374120', 'https://serverfault.com', 'https://serverfault.com/users/59235/']}
jdg_240575
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
74061
Below is a question asked on the forum electronics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I'm very new to electronics and I am going through what must be a common difficulty in grasping voltage, current, and resistance. I'll restrict my question to cur...
Amps includes time... Amps = Coulombs per second That says more simply that... Current = amount of charge per time interval It's a flow rate metric. Like water... liters (volume --> amount) per minute (time) In more depth In practical terms, the ampere is a measure of the amount of electric charge passing a point in a...
{}
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jdg_167107
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2262
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: In this question on DLL injection multiple answers mention that DLL injection can be used to modify games, perhaps for the purposes of writing a bot. It se...
There are multiple ways that you can use which might work (and see below for the reasons why they might not). Here are two: A process can debug itself, and then it will receive notifications of DLL loading. A process can host a TLS callback, and then it will receive notifications of thread creation. That can intercep...
{}
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jdg_163741
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
6050
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: During a Q&A period at DEFCON this year, one member of the audience mentioned that we're using "fake salt" when concatenating a random value and a password before ha...
The distinction is arbitrary. A salt-aware algorithm works by taking input data and scrambling it in various ways, and there is no method for inserting the salt which is more or less "fake" than any other. Trying to devise a password processing algorithm which is efficient on a general purpose CPU but does not scale we...
{}
{'log_upvote_score': 7, 'links': ['https://security.stackexchange.com/questions/6050', 'https://security.stackexchange.com', 'https://security.stackexchange.com/users/836/']}
jdg_322330
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2805115
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 a Noetherian ring, it is known that every ideal contains a product of prime ideals. Is there any example of a Noetherian ring in which an ideal is not equal to any pr...
In the polynomial ring $k[X,Y]$ over a field $k$ I claim that the ideal $I=\langle X^2,Y^2\rangle$ cannot be written as a product $I=\mathfrak p_1\cdot\cdots\mathfrak p_n$ where the $\mathfrak p_i$'s are prime ideals, not necessarily distinct. Indeed, if this were the case we would have $I\subset \mathfrak p_i$ for ev...
{}
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jdg_230195
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
415806
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'm trying to calculate the weak limit of $\mathcal{E}_N(x)=\sum_{k=1}^{2^N}\delta_{x-Z_k}$ , with $Z_k=X_k-\max_{k\leq 2^N}X_k$ , $\{X_k\}$ being $2^N$ copies of i.i.d. Gauss...
$\newcommand\R{\mathbb R}\newcommand{\ep}{\varepsilon}\newcommand{\de}{\delta}\newcommand{\vpi}{\varphi}$ For $\phi=c\,1_{[-A,\infty)}$ with $c\ge0$ and $A\ge0$ , the expectation in question converges to \begin{equation*} \frac1{1+(e^c-1)e^{A\sqrt{\ln4}}}. \tag{1}\label{1}\end{equation*} Indeed, let $n:=2^N\to\infty...
{}
{'log_upvote_score': 4, 'links': ['https://mathoverflow.net/questions/415806', 'https://mathoverflow.net', 'https://mathoverflow.net/users/174600/']}
jdg_170803
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
10054550
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 developing TYPO3 projects since 2006 now, and projects are getting bigger and more complex. Setting up a simple CMS site with a contact form and news listing is all rout...
Problems we could find in large TYPO3 projects are not to much different from any development project. General practices : configure continuous integration platform with continuous deployment tools ; Test Driven Development with automated testing; robust architecture (dB, URL routing, ...); performance tests during dev...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/10054550', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/283854/']}
jdg_151091
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
22460003
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 pyqt4 in python. When I close the QMainWindow window , its not handled by closeEvent method. Please someone tell me what is wrong with this code: from PyQt4 import ...
The closeEvent is a method of QMainwindow , but you're trying to use it from your own Ui_MainWindow class. Try this instead: from PyQt4 import QtCore, QtGuiclass MainWindow(QtGui.QMainWindow): def __init__(self, *args, **kwargs): super(MainWindow, self).__init__(*args, **kwargs) self.setupUi() def s...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/22460003', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3002465/']}
jdg_247450
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8362952
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I need to output the current UTC datetime as a string with the following format: YYYY/mm/dd hh:m:sec How do I achieve that with Javascript? Now provide the response and noth...
You can build it manually: var m = new Date();var dateString = m.getUTCFullYear() +"/"+ (m.getUTCMonth()+1) +"/"+ m.getUTCDate() + " " + m.getUTCHours() + ":" + m.getUTCMinutes() + ":" + m.getUTCSeconds(); and to force two digits on the values that require it, you can use something like this: ("0000" + 5).slice(-2) Whi...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/8362952', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/57997/']}
jdg_309898
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
52902
Below is a question asked on the forum stats.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I am new to Stats and came across this problem while running my analyses on SPSS which I cannot explain. How is it that even after transforming my data by logging it, i...
The Mann-Whitney is a test based on the ranks (/relative orderings) of the data points -- the value of the test statistic only depends on the order (the ranks) of the observations, not on their individual values. Taking logs (of positive values), or indeed, any other monotonic transformation of the values (like taking ...
{}
{'log_upvote_score': 4, 'links': ['https://stats.stackexchange.com/questions/52902', 'https://stats.stackexchange.com', 'https://stats.stackexchange.com/users/22324/']}
jdg_308077
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
53979362
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I was trying to install jekyll in my Mac and got the warning as following: WARNING: You don't have /Users/Carrot/.gem/ruby/2.3.0/bin in your PATH, gem executables will not ...
For those who have problems with @lamech-desai answer, (actually, when they do Desai's commands, it apparently works temporarily for them).So you can easily do these: open ~/.bshrc if you would like to use bash or ~/.zshrc if your are using zsh or etc... $ sudo nano .bashrc ## bash users$ sudo nano .zshrc ## zsh...
{}
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jdg_227431
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4447
Below is a question asked on the forum hermeneutics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Jesus said, “How shall we picture the kingdom of God, or by what parable shall we present it? It is like a mustard seed, which, when sown upon the soil, though i...
It may likely grow into the Sinapis Nigra (Black Mustard) . It can grow to eight feet tall, so it could actually be literally used by small birds to nest on its branches . However parables are not to be taken so literally and the image may be a slight exaggeration as part in parcel with the point of the passage. In the...
{}
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jdg_230981
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
23378271
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 log file that uses ANSI escape color codes to format the text. The mode is fundamental . There are other answered questions that address this issue but I'm not sure ...
You could use code below (require 'ansi-color)(defun display-ansi-colors () (interactive) (ansi-color-apply-on-region (point-min) (point-max))) Then you can execute display-ansi-colors via M-x, via a key-binding of your choosing, or via some programmatic condition (maybe your log files have a extension or name that m...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/23378271', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/155823/']}
jdg_196707
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4621817
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Is it possible to host the application in one server and queue jobs in another server? Possible examples: Two different EC2 instances, one with the main server and the second...
Yes, definitely. We have delayed_job set up that way where I work. There are a couple of requirements for it to work: The servers have to have synced clocks. This is usually not a problem as long as the server timezones are all set to the same. The servers all have to access the same database. To do it, you simply have...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/4621817', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/435951/']}
jdg_260991
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
56191386
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 tend to have a lot of cmd prompts open at a time from running multiple batch files at once, so I figured the new Windows Terminal would be a neat way to tidy things up with...
You can have this behaviour on double click by changing HKEY_CLASSES_ROOT\batfile\shell\open\command default value from: "%1" %* to: "C:\Users\<user>\AppData\Local\Microsoft\WindowsApps\wt.exe" -p "Command Prompt" "%1" %* or by using ftype command: ftype batfile="C:\Users\<user>\AppData\Local\Microsoft\WindowsApps\wt.e...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/56191386', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4859432/']}
jdg_175098
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
23399659
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 iOS program that takes a string from the user, splits the string up by character, and then uses each character as a key to grab a seperate (morse code) character fr...
If your solution must be completely Linq, you could do Beams.Where(x => x.Width > 40).ToList().ForEach(b => b.IsJoist = true); However, that is not an ideal way to implement this (@Jacob's answer is a better one). Check out Eric Lippert's blog entry on the topic. The most important lines for me are The first reason i...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/23399659', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3315194/']}
jdg_107908
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3780804
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: There is the enumerable extension method Take<TSource>( IEnumerable<TSource> source, int count) which takes the first count elements from the start. Is there a way to t...
finiteList.Reverse().Take(count).Reverse(); or finiteList.Skip(finiteList.Count() - count) There is some overhead in doing this so a custom method would be better. Update: A custom method public static class EnumerableExtensions{ public static IEnumerable<T> TakeLast<T>(this IEnumerable<T> source, int count) { ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/3780804', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/245548/']}
jdg_368449
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
18608888
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 creating a mechanism which allows users to form arbitrary complex functions from basic building blocks using the decorator pattern . This works fine functionality wise, ...
You have std::function s binding lambdas that call std::function s that bind lamdbas that call std::function s that ... Look at your to_function . It creates a lambda that calls two std::function s, and returns that lambda bound into another std::function . The compiler won't resolve any of these statically. So in the ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/18608888', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2148672/']}
jdg_109455
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
23693209
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I need to get all the user's details from Active directory using LDAP. The following code does gives Samaccountname as 'Administrator' but not each user's details and no mail...
recently i have worked on LDAP.I need to find all informations from AD.so, i have wrote some helper classes for finding them.Here are some example. I have written 5 classes.see below ActiveDirectoryHelper.cs public class ActiveDirectoryHelper{ private DirectoryEntry _directoryEntry = null; private DirectoryEntry ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/23693209', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/662198/']}
jdg_173208
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
70635
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: In Windows, there's an option to "safely remove hardware". Ignoring the fact that it almost always fails, and that most of the time I simply have to plug the device out,...
It is 'safe' to remove an external drive when it is unmounted. The reason it might not be safe simply if programs aren't using it is that the Linux kernel does write caching. Meaning that when a program has written to disk, that data might not physically be on the disk, it could still be in memory (unless the program u...
{}
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jdg_209341
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
212112
Below is a question asked on the forum physics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I was doing a theoretical research regarding life on Titan. The temperature of Titan is so low, and it needed more sunlight, as a result, the Sun would require to get...
This is the plot you are looking for. This a solar model taken from the Padova evolutionary tracks by Bertelli et al. (2008) . It shows the (log) solar luminosity in terms of the current solar luminosity, as a function of age in years. From this plot we see that the Sun reaches 100 times its present luminosity at an ag...
{}
{'log_upvote_score': 4, 'links': ['https://physics.stackexchange.com/questions/212112', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/47578/']}
jdg_180906
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
29985153
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: The following code does not compile for me. trait A { fn fun0(&self); fn fun2(&self) -> Option<Box<Self>>;}struct B0 { id: usize,}impl A for B0 { fn fun0(&self) {...
As you have noticed, the problem vanishes when you remove fun2 method. Let's look at it more closely: fn fun2(&self) -> Option<Box<Self>>; Note that its output type contains Self , that is, the type which the trait is implemented for. For example, if A is implemented for String , it would be String : impl A for String ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/29985153', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1060004/']}
jdg_225961
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
577944
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 the matrix $A=(a_{ij})=Mat(2, R)$, satisfies $A^{2011}=0$ Prove that: $A^2=0$ Thanks in advance! Now provide the response and nothing else.
Consider the minimal polynomial $p(x)$ of $A$. By hypothesis, $p(x) \mid x^{2011}$, whence $p(x) = x^k$ for some $k\in \mathbb{N}$. Also $deg(p(x)) \leq 2$, and so $p(x) = x$ or $p(x) = x^2$. In either case, $A^2 = 0$.
{}
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jdg_119589
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1886345
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I am struggling to understand this. According to truth tables, if $P$ is false, it doesn't matter whether $Q$ is true or not: Either way, $P \implies Q$ is true. Usually...
This is done so that classical propositional calculus follows some natural rules. Let's try to motivate this, without getting into technical details: The expression "$P\Rightarrow Q$" should be read "$P$ implies $Q$", or "whenever $P$ is true, $Q$ is also true". The negation of such an expression would be a counter-exa...
{}
{'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/1886345', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/70349/']}
jdg_79197
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
46530960
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 start NetBeans 8.2 on a Macbook Pro and it's not working. It shows the splash screen, then after a while it shuts down without starting anything. Running from ...
Yes, NetBeans 8.2 does use JDK 1.8, and specifically does not support JDK 1.9. It's unclear from the OP which version of Java is desired to run with NetBeans, but the version of NetBeans to use is governed by the version of Java to be used: [1] For Java 8, use Netbeans 8.2. Note that Java 9 is not supported . You can ...
{}
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jdg_331143
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
24099230
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 does one go about making a delegate, i.e. NSUserNotificationCenterDelegate in swift? Now provide the response and nothing else.
Here's a little help on delegates between two view controllers: Step 1: Make a protocol in the UIViewController that you will be removing/will be sending the data. protocol FooTwoViewControllerDelegate:class { func myVCDidFinish(_ controller: FooTwoViewController, text: String)} Step2: Declare the delegate in the se...
{}
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jdg_317550
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
498077
Below is a question asked on the forum stats.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Let's say you let the Null Hypothesis $H_0$ be that the mean volume of water in a bottle is some $\mu$ , and the alternate hypothesis $H_1$ be that the mean volume is n...
They’re synonyms. The critical value is the value the test statistic has to reach in order for your hypothesis test to reject at your chosen level (maybe $0.05$ , maybe not). If you are not getting these to agree, there is a bug in your code. You might be stumbling on the fact that confidence intervals and hypothesis t...
{}
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jdg_235674
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2215084
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I have a question about parallel transport that I'm very confused about and would appreciate some help. The question reads: What vector field $X$ on the unit 2-sphere in...
This isn't a direct answer to your question about the parallel transport equations, but the standard geometric solution. Assuming a unit sphere, parallel transport around the latitude $L_{\varphi}$ making angle $\varphi$ with the equator can be found by constructing the cone tangent to the sphere along $L_{\varphi}$, t...
{}
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jdg_188094
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
508920
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Prove that each irreducible factor of $f(x)=x^{2^n}+x+1$ in $\mathbb Z_2[x]$ has degree $k$, where $k\mid 2n$. Edit. I know I should somehow relate the question to an ex...
Let $p(x)\mid x^{2^n}+x+1$, $p$ irreducible, and $a\in\overline{\Bbb F}_2$ a root of $f$. Then $a^{2^n}+a+1=0$, equivalently $a^{2^n}=a+1$. It follows that $a^{2^{2n}}=a$, so $\Bbb F_2(a)\subset\Bbb F_{2^{2n}}$. This shows that $\deg p\mid 2n$.
{}
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jdg_361135
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
42368777
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Good day, all. I configure LocaleResolver for setting defaultLocale, but it's don't work for start page ( <welcome-file-list> <welcome-file>/WEB-INF/view/index.jsp</we...
Add your <script> to the bottom of your <body> , or add an event listener for DOMContentLoaded following this StackOverflow question . If that script executes in the <head> section of the code, document.getElementsByClassName(...) will return an empty array because the DOM is not loaded yet. You're getting the Type Err...
{}
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jdg_261926
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
31706699
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: So I have a Stream<Collection<Long>> that I obtain by doing a series of transformations on another stream. What I need to do is collect the Stream<Collection<Long>> into one ...
This functionality can be achieved with a call to the flatMap method on the stream, which takes a Function that maps the Stream item to another Stream on which you can collect. Here, the flatMap method converts the Stream<Collection<Long>> to a Stream<Long> , and collect collects them into a Collection<Long> . Collecti...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/31706699', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2561365/']}
jdg_309141
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
10314932
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 question about the FOSUserBundle for Symfony 2.0.x.In there documentation you can find a way to change the login to work with either username and email. That works g...
This can be done by overriding setters in the User entity: <?phpnamespace Acme\UserBundle\Entity;use FOS\UserBundle\Entity\User as BaseUser;use Doctrine\ORM\Mapping as ORM;use Gedmo\Mapping\Annotation as Gedmo;/** * @ORM\Entity(repositoryClass="Acme\UserBundle\Entity\UserRepository") * @ORM\Table(name="users") */class ...
{}
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jdg_163066
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
82656
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: As a follow-up to my answer here , I'd like to ask what exactly does it mean for a wavefunction to "respect the symmetry" of the system. The original context is: im...
I use quantum chemistry about as much as a lumberjack uses math (that is, just enough not to fell a tree on one's own head), so my answer will be short and hopefully useful as a tl;dr to someone else's more comprehensive take. In quantum chemistry, if two operators commute , their values are simultaneously observable ....
{}
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jdg_216787
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
48737556
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 attempting to get gulp integration into Visual Studio 2017. It's working on the command line. The Task Runner Explorer in VS2017 is telling me Failed to load. See output ...
Point your VS tools to the node installation on your path. I can see in the error that there a version discrepancy between 5.x and 8.x - with VS likely being the older one (since it ships with pre-packaged and outdated node) and is taking execution precedence with the default setup. I'm guessing you installed node-sass...
{}
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jdg_227873
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
918736
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I'm writing some tests for a C++ command line Linux app. I'd like to generate a bunch of integers with a power-law/long-tail distribution. Meaning, I get a some numbers ver...
This page at Wolfram MathWorld discusses how to get a power-law distribution from a uniform distribution (which is what most random number generators provide). The short answer (derivation at the above link): x = [(x1^(n+1) - x0^(n+1))*y + x0^(n+1)]^(1/(n+1)) where y is a uniform variate, n is the distribution power, x...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/918736', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/23524/']}
jdg_204762
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
301862
Below is a question asked on the forum softwareengineering.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: My understanding... Advantages: Inserting at the end is O(1) instead of O(N). If the list is a Doubly Linked List, then removing from the end is also O(1)...
You are correct, a tail pointer never hurts and can only help. However, there is a situation where one does not need a tail pointer at all. If one is using a linked list to implement a stack, there is no need for a tail pointer because one can guarantee that all accesses, insertions, and removals occur at the head. Tha...
{}
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jdg_192244
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
118531
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 question that came to my mind. How sensitive are they really? I mean basically all you can do with them is stalking you with hiding caller ID find out which provid...
Hacking : It was shown recently ( source ) that it is possible with enough information including the mobile number to convince a communications provider you've "lost" your SIM, issue a replacement in store (so you don't even need to receive their mail!) and then convince their bank to "trust" you via an SMS code they c...
{}
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jdg_179199
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
460125
Below is a question asked on the forum physics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I have read multiple explanations of escape velocity, including that on Wikipedia , and I don't understand it. If I launch a rocket from the surface of the Earth towa...
Escape velocity is the velocity an object needs to escape the gravitational influence of a body if it is in free fall , i.e. no force other than gravity acts on it. Your rocket is not in free fall since it is using its thruster to maintain a constant velocity so the notion of "escape velocity" does not apply to it.
{}
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jdg_240910
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1217479
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Is there an exact formula for the number of invertible matrices over the ring $\mathbb{Z}_n,$ $n=p_1^{k_1} p_2^{k_2} \ldots p_s^{k_s}$? Now provide the response and not...
Yes there is. You can identify $m \times m$ invertible matrices over $\mathbb{Z}/n$ with $Aut_{group}((\mathbb{Z}/n)^m)$. Page 6 of http://www.msri.org/people/members/chillar/files/autabeliangrps.pdf gives an explicit formula for the number of these. Using their notation, you'll want to use the fact that $\mathbb{Z}/...
{}
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jdg_296019
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
39191086
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 writing a Google Test unit test, and I want to check if the content of an unordered_map<std::string, std::string> is the same as an std::map<std::string, std::string> I ...
I don't think there is nicer way than just going over all elements of one map and checking if they are present in the other map. If you also check that the amount of elements is the same, you'll know whether the maps are completely the same. For example: template<typename K, typename E>bool maps_equal(const std::map<K,...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/39191086', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2947765/']}
jdg_149418
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2767496
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 starting a process within my C# application which runs a console application. I've redirected standard input and output, and am able to read a few lines via StandardOutp...
You cannot use EndOfStream reliably here. The StreamReader.EndOfStream property will call StandardOutput.Read() if it doesn't have any characters buffered. That Read() call will block if the process isn't sending anything to its output pipe and doesn't close it. Which is pretty much guaranteed to happen since it wil...
{}
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jdg_178636
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
47908
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: Drawing the conjugate bases, Oxygen is more electronegative than Chlorine so negative charge on Oxygen is more stable than Chlorine, Thus My argument that Acetic ...
A simpler question, would be why is water a weaker acid than $\ce{HCl}$? If we were to look at that issue, we might clear some of the mess up. Strongly reactive compounds produce weakly reactive products. In the case of acid base theory, chloride ion is a much weaker base than hydroxide. Why is this so? The hydroxid...
{}
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jdg_137240
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
53773
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: $\newcommand{\span}{\operatorname{span}}$Define $e_{0,0}\equiv 1$, and for all $n\in \mathbb{N}$$$e_{n,k}=\begin{cases} 2^{n/2} &\text{if } \frac{k-1}{2^n}\leq x\lt \fra...
ncmathsadist's idea works with a minor change: First of all, observe that $L^2[0,1] \subset L^1[0,1]$. If $f \in L^1[0,1]$ satisfies $\int_{0}^{1} f \cdot e_{k,n} = 0$ for all $k,n \in \mathbb{N}$ then $f = 0$ a.e. Note that the integral makes sense, as each $e_{k,n}$ is bounded. Consider the function $\displaystyle F(...
{}
{'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/53773', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/8271/']}
jdg_99987
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
15750788
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have the following uniform buffer: layout(std140) uniform Light{ vec4 AmbientLight; vec4 LightIntensity; vec3 LightPosition; float LightAttenuation;}; I have...
See section 7.6.2.2 of the OpenGL spec for the details, but basically, std140 layout says that each variable will be laid out immediately after the previous variable with enough padding added for the alignment required for the variable's type. vec3 and vec4 both require 16-byte alignment and are 12 and 16 bytes respect...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/15750788', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/528590/']}
jdg_236078
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
23789498
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 any better way (either faster or with fewer symbols of code) than erasing the element and re-adding it to the back? template <typename T>void moveItemToBack(std::vec...
You can do this with std::rotate from the standard library. Since this doesn't change the vector size it also won't trigger a reallocation. Your function would look something like this: template <typename T>void moveItemToBack(std::vector<T>& v, size_t itemIndex){ auto it = v.begin() + itemIndex; std::rotate(it, ...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/23789498', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/634821/']}
jdg_335176
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
22045641
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Using the new JPA 2.1 stored procedure call, is there any way to pass a null parameter? Here is an example usage: StoredProcedureQuery storedProcedure = em.createStoredProced...
Yes, it is possible to pass null params to stored procedures when using JPA StoredProcedureQuery. You have to add the following property in application.properties file and register the parameters with their name. spring.jpa.properties.hibernate.proc.param_null_passing=true Example: StoredProcedureQuery q = em.createSto...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/22045641', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2352432/']}
jdg_350673
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
40551495
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: How to extract first (or last) sentence with 8 or less words (or another condition)? For example I have a Text text <- "The quick brown fox. This is wonderful!" What's the mo...
What happened "Copy commits" is just what git rebase does . It copies some commits, then shuffles the branch pointers around so as to "forget" or "abandon" the original commits. (But see below.) Here is an illustration of how git rebase does this copying. The single letters represent commits, and the names on the rig...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/40551495', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/6109226/']}
jdg_261477
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
33457654
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I am working on java restful web service. I got it working for GET request, but POST request does not work. My Controller class is RestController . I have done these so far: ...
I bet that call from Postman does not include Content-Type: application/json . HTTP 415 means that the server does not understand the media format of the request. In your controller you are specifying it accepts JSON, but you have not said if the request indicated that the body is in that format. Just because you put t...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/33457654', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5112246/']}
jdg_149146
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
32767000
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: This code: $g = 2e3;echo $g;echo <br>;echo "var_dump g gives:<br>"; Displays: 2000float(2000) I don't understand why it wouldn't display "8" and "float(8)"? Isn't 2 to the 3r...
It's called scientific notation (or in this case "E notation"). 2e3 is the same as 2 x 10^3 , which is 2000 . If you want 2^3 , you can use $g = pow(2, 3); Or in PHP 5.6+: $g = 2**3; Note: You need to use pow() (or ** ) because in PHP, when you do $g = 2^3; , you are doing 2 XOR 3 .
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/32767000', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5370253/']}
jdg_378509
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3933
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: In our Physics lab we have a 1 milliwatt (0.001W) helium neon laser. Despite the low power, we were cautioned not to even look at reflections of the beam as it could ...
Dear Thomas, the diameter of the beams of these HeNe lasers is between 0.5 and 1 millimeter, so the power 1 mW is coming to $10^{-6}$ squared meters or so. The ratio of power and area is $10^{-3}/10^{-6} = 10^{+3}$ Watts per squared meter. On the other hand, when a 3W LED is watched from the distance 0.1 meters, the po...
{}
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jdg_330686
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
32780
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: For example I have some global assignments x=1;y=2;z=3 and an expression Hold[x*y/z] . How can I now extract variables {x,y,z} from this expression, do some manip...
Here is one way (I seem to remember that something similar was discussed before, but could not find it): ClearAll[withBlockedVars];SetAttributes[withBlockedVars,HoldRest];withBlockedVars[Hold[expr_],code_]:= With[ { heldVars= Thread[ Cases[ ...
{}
{'log_upvote_score': 4, 'links': ['https://mathematica.stackexchange.com/questions/32780', 'https://mathematica.stackexchange.com', 'https://mathematica.stackexchange.com/users/2490/']}
jdg_322600
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
49011701
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: How can I programmatically set focus to "Address" input after clicking "Next" button on step one, so after going form step 1 ("Fill out your name") to step 2 ("Fill out your ...
You were on the right path using the selection Change event.See the forked StackBlitz: StackBlitz What you want to do is assign an id to your input elements that can be used in correlation with the selected index of the stepper, such as: <mat-step [stepControl]="firstFormGroup"> <form [formGroup]="firstFormGroup"> ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/49011701', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/602860/']}
jdg_285493
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4090969
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 help me with the convergence of the series $$\sum_{n=1}^{\infty} \left( \frac{n}{n+1} \right)^{n(n+1)}$$ I tried the ratio limit but i couldn't obtain the limit,...
What about the root test? \begin{align*}\lim_{n\to\infty}(a_{n})^{1/n} & = \lim_{n\to\infty}\left(\frac{n}{n+1}\right)^{n+1}\\\\& = \lim_{n\to\infty}\left(1 + \frac{1}{n}\right)^{-n} = e^{-1} < 1\end{align*} Thus the proposed series converges, and we are done. Hopefully this helps!
{}
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jdg_322106
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
109904
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 spent a few hours today working through the addition chain problem. Given the starting number 1, how many additions are required to get to some target natural number ...
MR2128857 (2006g:11247) Rizzo, Ottavio G.(I-MILAN)On the complexity of the 2k-ary and of the sliding window algorithms for fast exponentiation. (English summary) Riv. Mat. Univ. Parma (7) 3* (2004), 289–299 says, in part, "Finding the shortest addition chain for a given integer $n$ is commonly considered to be a very h...
{}
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jdg_153645
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
12580
Below is a question asked on the forum dsp.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Please suppose the following: The frequency of a signal's fundamental has been estimated using FFTand some frequency estimation methods and is lying between two bincenter...
The first algorithm that springs to mind is the Goertzel Algorithm . That algorithm usually assumes that the frequency of interest is an integer multiple of the fundamental frequency. However, this paper applies the (generalized) algorithm to the case you are interested in. Another problem is that the signal model is i...
{}
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jdg_243707
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
20551042
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: This happens in Python 2.7.6 and 3.3.3 for me. When I define a class like this class foo: def __getitem__(self, *args): print(*args) And then try to iterate (and wh...
Yes, this is an intended design. It is documented, well-tested, and relied upon by sequence types such as str . The __getitem__ version is a legacy before Python had modern iterators. The idea was that any sequence (something that is indexable and has a length) would be automatically iterable using the series s[0], s...
{}
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jdg_110281
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
114255
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:\mathbb R\rightarrow[0,\infty)$ be Lebesgue measurable. Is it true in general that the function: $$\mu(E):=\int_E f$$ is a measure? The right hand side is the Leb...
If $f$ is Lebesgue integrable, then yes, $\mu$ is an absolutely continuous measure with respect to Lebesgue measure. Monotone Convergence of the indicator functions gives you the property of countable disjoint unions.
{}
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jdg_312493
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3485475
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 large list l . I want to create a view from element 4 to 6. I can do it with sequence slice. >>> l = range(10)>>> lv = l[3:6]>>> lv[3, 4, 5] However lv is a copy of ...
There is no "list slice" class in the Python standard library (nor is one built-in). So, you do need a class, though it need not be big -- especially if you're content with a "readonly" and "compact" slice. E.g.: import collectionsclass ROListSlice(collections.Sequence): def __init__(self, alist, start, alen): ...
{}
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jdg_337412
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1452261
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 appreciate that similar questions have been asked before, but I am struggling to invoke the Linq Where method in the following code. I am looking to use reflection to dynam...
As others said, extensions methods are compiler magic, you can alway use VS right click, go to definition to find the real type that implements the static method. From there, it gets fairly hairy . Where is overloaded, so you need to find the actual definition that matches the signature you want. GetMethod has some lim...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/1452261', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/31188/']}
jdg_281281
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
63436496
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Are there any tricks I can employ to get IDEs to offer code completion for dynamically generated class attributes? For instance class A: def __init__(self): set...
I believe you will find the answer here . In short, Pycharm currently does not (and probably in the observable future will not) support dynamic attributes. That's because it analyzes code statically, and can't "see" what attributes a class might have. On the other hand, when you run your code in (say) iPython, once an ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/63436496', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3059024/']}
jdg_206761
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
12436315
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 a Phonegap & jQuery Mobile app that works nicely on Android and web. On iOS I am getting unexpected results, which seem to be caused by the fact that the document.pa...
I appreciate Zoltans answer and it may be relevant in some cases, but that was not the cause. $(document).on('pageinit') will fire for every page transition used in your jQuery Mobile app. This will happen both with HTML links and when using $.mobile.changePage(); . Shockingly, the docs don't mention this anywhere: the...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/12436315', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/316727/']}
jdg_318500
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
52219401
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: There are a few SO posts about style-loader and css-loader , but despite this I have not been able to find a solution to my problem. In short summary, when I @import css file...
I was able to solve the problem myself. In case it could help others in the future, please find the solution below. First of all, if you are using both postcss-loader with the postcss-import plugin, AND css-loader , turn off / delete the postcss-import plugin. You do not need more than one tool that resolves @import ru...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/52219401', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3006096/']}
jdg_326409
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
626721
Below is a question asked on the forum electronics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I'm interested in building a low-frequency, low-noise, AC-coupled preamplifier (mostly for measuring the noise of very quiet linear regulators). Several existing ...
Keep in mind the application: you're evaluating voltage regulators. They have low source impedance Rs. The input filter, filled in with the source that was missing in the schematic in the question, looks as follows: simulate this circuit – Schematic created using CircuitLab At frequencies of interest, Ca1 is a short, a...
{}
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jdg_108026
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
39228033
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Consider this code: #include <iostream>namespace N { class A {}; void f(A a) { std::cout << "N::f\n"; }}void f(int i) { std::cout << "::f\n"; }template <typename T>clas...
g++ is Standard compliant here, and Visual C++ not: 14.6.2 Dependent names [temp.dep] 3 In the definition of a class or class template, the scope of a dependent base class (14.6.2.1) is not examined during unqualified name lookup either at the point of definition of the class template or member or during an instanti...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/39228033', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/919705/']}
jdg_231158
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
41316188
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 an MVC 4 application using entity framework to read and write data to a database I am hosting on an Azure database. The Azure database was supposed to keep the ...
I have tried to reproduce your issue according with below steps: 1) create Asp.net MVC template, then register a new user. Result : We could find user info on local database. 2) Add controller with views using Entity Framework. And use Azure SQL database as its resource. Result : we will find two connection in our web....
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/41316188', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3232551/']}
jdg_79683
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
55221433
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 setting up a React project with my team that will use mobX as state manager, plus TypeScript. I've seen a common pattern in the casing and naming patterns in React Projec...
Just to add my two cents. As others have stated, file structure is unopinionated. However, component naming is not. They should be PascalCase for React to know whether or not you're using a function , class or an HTMLelement †. For example: class input extends Component {...} Bad ! Why? Because React doesn't know wheth...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/55221433', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1852032/']}
jdg_108267
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
26203446
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I created an application with spring + hibernate, but I always get this error. This is my first application with hibernate, I read some guides but I can not solve this proble...
You must enable the transaction support ( <tx:annotation-driven> or @EnableTransactionManagement ) and declare the transactionManager and it should work through the SessionFactory . You must add @Transactional into your @Repository With @Transactional in your @Repository Spring is able to apply transactional support in...
{}
{'log_upvote_score': 9, 'links': ['https://Stackoverflow.com/questions/26203446', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3342841/']}
jdg_226959
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1882262
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: The determinant of an $n\times n$ matrix is a volume / volume factor. So far, I'm good in my understanding. You take a linear map, encode it as a matrix, compute the vol...
Let $A$ be the matrix in question, writing $D(A) = \sqrt{\det(A^T A)}$ and $V(A)$ for the desired $n$-volume; we want to see that $D(A) = V(A)$. Note that the claim is easy if $m < n$, since the rank of $A^T A$ is bounded above by the minimum of rank $A$ and rank $A^T$, so we assume $m \ge n$. Choose orthogonal matrice...
{}
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jdg_179895
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
116797
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 int array as a property of a Web User Control. I'd like to set that property inline if possible using the following syntax: <uc1:mycontrol runat="server" myintarray...
Implement a type converter, here is one, warning : quick&dirty, not for production use, etc : public class IntArrayConverter : System.ComponentModel.TypeConverter{ public override bool CanConvertFrom(System.ComponentModel.ITypeDescriptorContext context, Type sourceType) { return sourceType == typeof(string...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/116797', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5609/']}
jdg_251051
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
172685
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'm writing a shell script that needs to do a bunch of commands and every command depends on every previous command. If any command fails the entire script should fail a...
You can use bash trap ERR to make your script quit if any command returns status greater than zero and execute your function on exiting. Something like: myfunc() { echo 'Error raised. Exiting!'}trap 'myfunc' ERR# file does not exist, causing errorls asdecho 123 Note that bash trap ERR does implicit set -o errexit or s...
{}
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jdg_248526
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4850190
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 CSS text-transform expensive in terms of processing? It appears to me that the browser's being forced to do some work that it wouldn't normally need to ( if you didn't tra...
It might take a bit more processing from the client's browser, but this will be totally insignificant unless you're transforming pages and pages of text (and if you're doing that, you're doing something wrong). You also have the overhead of having the CSS property written in your stylesheet (heavier file), but once aga...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/4850190', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/545865/']}
jdg_314869
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
62246556
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 procedure with 2 input parameters and 2 output parameters. Currently its working fine. However, i want to take the two output parameters of the procedure and store i...
There were a few issues as @efz pointed out. In addition, you need to refactor the labels in your second column to allow them to match up with those in your first. It's probably going to look messy with the y axis labels and title alongside the table, so these could be removed too. That leaves you something like: fores...
{}
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jdg_256286
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2557592
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've recently read about Vopenka's Theorem (Jech 15.46), which states that if A is a set of ordinals, then $L[A]=HOD^{L[A]}[G]$, meaning that if $HOD^{L[A]}\subsetneq L[...
Yes. Lev Bukovský proved a very general theorem that deals precisely with this problem: MR0332477 (48 #10804) . Characterization of generic extensions of models of set theory , Fundamenta Mathematica 83 (1973), pp. 35–46. Bukovský characterizes when, for a given regular cardinal $\lambda$, $V$ is a $\lambda$-cc generic...
{}
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jdg_118901
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
578090
Below is a question asked on the forum stats.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: If we have iid random variables $X_1,X_2,...,X_N$ with $\mathbb{E}X_i=\mu$ , is it true that $\mathbb{E}\prod X_i=\mu^N$ ? I had no doubt that this is true, until I tri...
First, let's establish the correct identity. When $X_1, \ldots, X_N$ are independent variables with finite expectations $\mu_i=X_i,$ then by laws of conditional expectation, $$E\left[\prod_{i=1}^N X_i\right] =E\left[X_N E\left[\prod_{i=1}^{N-1} X_i \mid X_{N}\right]\right] = E\left[X_N \prod_{i=1}^{N-1} \mu_i\right] = ...
{}
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jdg_292325
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4106031
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I can I check if FeedItem::populate_from_friend_to_user is called inside the user class? it "should auto populate feed after user.add_friend" do @user.add_friend(@friend...
You should not know where the method is called, just if the method is called.. You just know if the method is call: Before RSpec 3 it "should auto populate feed after user.add_friend" do FeedItem.should_receive(:populate_from_friend_to_user).with(@friend1, @user) @user.add_friend(@friend1) end In RSpec 3 the synt...
{}
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jdg_78089
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
5866
Below is a question asked on the forum serverfault.com. Provide a good and informational response to it like a helpful human would. Question: I have a test system that requires a lot of setup to install the product I am testing. While testing it is possible degrade the system. I am looking for a way to go back to a...
The easiest way is to use some kind of snapshot that you can easily revert to. In order of ease those are probably: Storage Array : LUN snapshots that you can revert to Virtual Machine : Template it, copy the image or if using Xen with an LVM backing store, use LVM snapshots. iSCSI & LVM (or OpenFiler/NetApp) : If your...
{}
{'log_upvote_score': 4, 'links': ['https://serverfault.com/questions/5866', 'https://serverfault.com', 'https://serverfault.com/users/2187/']}
jdg_322772
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
617759
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 building an object to search orders in my database. There are a bunch of possible parameters that the user can set, and they can set as many as then want for each search....
You should separate the code for your order search from the code that builds the SQL. The SQL should be built in a derivative (or Strategy derivative) of the OrderSearch class. Once you have made this separation, it doesn't really matter when you build the SQL. To make this a bit more plain. Given a class named Orde...
{}
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jdg_217728
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
57480846
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I wrote a small program, to check the difference between creating shared_ptr via new and make_shared() function in case of exceptions. I read everywhere that via make_shared(...
What object? The only object in a smart pointer here did not actually complete construction, because its constructor threw. It doesn't exist. You don't need smart pointers to demonstrate this. Just throw from any constructor and you'll see that the destructor body is not invoked .
{}
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jdg_211189
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
37842165
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 doing k-means clustering on the set of 30 samples with 2 clusters (I already know there are two classes). I divide my data into training and test set and try to calculat...
In terms of evaluating accuracy. You should remember that k-means is not a classification tool , thus analyzing accuracy is not a very good idea. You can do this, but this is not what k-means is for. It is supposed to find a grouping of data which maximizes between-clusters distances, it does not use your labeling to t...
{}
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jdg_129591
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2908775
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: Question: Find the maximum value of $ab+bc+ca$ from the equation, $$a+2b+c=4$$ My method: I tried making quadratic equation(in $b$) and then putting discriminant greater...
Without using calculus: Substituting $c=4-2b-a$ , we get $$ab+bc+ca=ab+(a+b)(4-2b-a)=(4(a+b)-(a+b)^2)-b^2$$ and since $f(x)=4x-x^2=4-(x-2)^2$ has maximum at $(2,4)$ , substituting $x:=a+b$ gives $$ab+bc+ca\le4-b^2\le4.$$
{}
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jdg_106377
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
35724423
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: The following code compiles cleanly with GCC: void func(int arg1, decltype(arg1) arg2){ (void)arg2;}int main(){} I used this command to compile: g++ -std=c++14 test.cpp -o...
This is fine. The ISO C++11 Standard even gives your situation as an example. First the parameter is in scope: 3.3.3 Block scope [ basic.scope.local ] 2 The potential scope of a function parameter name (including one appearing in a lambda-declarator) or of a function-local predefined variable in a function definition ...
{}
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jdg_382546
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
14548612
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: i can't seem to understand completely the difference between aggregation and composition in a code. Client <.>---->BankAccount (this is supposed to be Client - BankAccount co...
Yes, What you do is call composition, if you want to do aggregation you to it like this: Class Client{ BankAccount acc; public Client(BankAccount p_acc) { acc=p_acc; } public void addMoneyToBankAccount(decimal amount) { acc.AddMoney(amount); } public decimal CheckBalance() ...
{}
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jdg_70126
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
25256
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I am not sure whether or not this is a duplicate question. I'm wondering what is an efficient way to compute$$x \equiv a^b \bmod{n}$$where $a,b,n \in \mathbb{Z}$ and $a,...
The usual trick is repeated squaring . If you want to raise a number $x$ to the 59th power, you follow this algorithm: x1 = xx2 = x1 * x1x4 = x2 * x2x8 = x4 * x4x16 = x8 * x8x32 = x16 * x16x59 = x32 * x16 * x8 * x2 * x1 Usually the algorithm is given using the following recurrence equations:$$ x^{2n} = (x^n)^2, x^{2n+1...
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jdg_165039
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
181694
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: What is known about finite groups $G$ for which there exists a Galois extension $K$ of $\mathbb{Q}$ ramified only at $2$ such that $\text{Gal}(K/\mathbb{Q}) \cong G$ ? More ge...
Let me first note that there is a slight ambiguity when one says "ramified only at 2". Strictly speaking, that means that the extension is unramified at every placeof $\mathbb Q$ except 2, including infinity. The latter mean that the extension is totally real. Often, however, "ramified only at 2" means "ramified only p...
{}
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jdg_195487
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1834166
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: So the difference quotient is defined as: $$\lim \limits_{h \to 0} \frac{f(x+h)-f(x)}{h}$$ So if we take a function such as $f(x)=x^2$ and go through the simplification,...
The difference quotient $\dfrac{f(x+h) - f(x)} h$ is of course undefined when $h=0$. You have\begin{align}\frac{f(x+h)-f(x)} h & = 2x+h & & \text{when } h\ne 0 \\[10pt]\text{and } 2x+h & = 2x & & \text{when }h=0.\end{align} LATER NOTE: In NO edition of this answer has there every been a piecewise definition of any fun...
{}
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jdg_215231
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
99730
Below is a question asked on the forum raspberrypi.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: It would run an alarm clock /time lock set up to send a signal or switch on a servo operated lock after 10 years. I don't know specs or power need for servo, migh...
According to raspi.tv , the idle current is 120mA. Sizing the battery for 10 years: That would be an enormous battery. Based on this tomsguide.com article , a Moto G7 Power has a 5 AH battery, so you'd need the equivalent of 2,104 Moto G7 Power batteries to provide that much power. That's not even accounting for any ...
{}
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jdg_202139
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
590709
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: When executing wget https://docs.conda.io/projects/conda/en/4.6.0/_downloads/52a95608c49671267e40c689e0bc00ca/conda-cheatsheet.pdf I have this error: --2020-06-03 20:55:...
apt is the recommended command for interactive use by administrators, not for use in shell scripts. This is addressed to a large extent in the apt manpage : The apt(8) commandline is designed as an end-user tool and it may change behavior between versions. While it tries not to break backward compatibility this is not ...
{}
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jdg_278596
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
15792207
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have this Sidekiq worker: class DealNoteWorker include Sidekiq::Worker sidekiq_options queue: :email def perform(options = {}) if options[:type] == "deal_watch_mailer...
From the Sidekiq documentation : The arguments you pass to perform_async must be composed of simple JSON datatypes: string, integer, float, boolean, null, array and hash. The Sidekiq client API uses JSON.dump to send the data to Redis. The Sidekiq server pulls that JSON data from Redis and uses JSON.load to convert...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/15792207', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1158930/']}
jdg_170936
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
933993
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 can we compute the series $\displaystyle \sum_{n\geq 1}\frac{(-1)^n \ln n}{n}$? I know it is $\eta '(1)$ , where $\eta$ is the $\eta$ Dirichlet Function , i know its...
This is given in equation $(8)$ of this answer using the Euler-Maclaurin Sum Formula , which says that$$\sum_{k=1}^n\frac{\log(k)}{k}=C+\frac{\log(n)^2}{2}+O\left(\frac{\log(n)}{n}\right)\tag{1}$$for some constant $C$, and that$$\sum_{k=1}^n\frac1{k}=\log(n)+\gamma+O\left(\frac1n\right)\tag{2}$$Note that$$\begin{align}...
{}
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jdg_368190
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1914115
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 would be the correct way of converting color value from float to byte? At first I thought b=f*255.0 should do it, but now I'm thinking, that in this case only the exact ...
1.0 is the only case that can go wrong, so handle that case separately: b = floor(f >= 1.0 ? 255 : f * 256.0) Also, it might be worth forcing that f really is 0<=f<=1 to avoid incorrect behaviour due to rounding errors (eg. f=1.0000001). f2 = max(0.0, min(1.0, f))b = floor(f2 == 1.0 ? 255 : f2 * 256.0) Alternative safe...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/1914115', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/22129/']}
jdg_317867
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
5442551
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 attempting to test a website I have running in a local IISExpress instance with some other machines / devices on my local network. I am running Win7 Pro. When I first at...
It looks like you are missing a binding information entry in applicationhost.config file. Open your applicationhost.config file. Possible locations are: %userprofile%\Documents\IISExpress\config\applicationhost.config $(solutionDir)\.vs\config\applicationhost.config (VS2015) Failing that, inspect the output from iisexp...
{}
{'log_upvote_score': 9, 'links': ['https://Stackoverflow.com/questions/5442551', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/29156/']}
jdg_110125
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1246564
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Are p-adic numbers real numbers?Why or why not?I came across the idea that it is not a real number from- Is 0.9999... equal to -1? (last comment) Now provide the respon...
No, the field of $p$-adic numbers, $\Bbb{Q}_p$, is not isomorphic to a subfield of $\Bbb{R}$, and thus I don't see a way of calling $p$-adic numbers "real". A way of seeing this is that, by Hensel lifting, the negative integer $-4p+1$ has a square root that is a $p$-adic integer. It is well known that $-4p+1$ has no sq...
{}
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jdg_220006
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
48602270
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 flip this SVG that I found on here so that the whitespace is on the bottom and the wave is on the top, but I can't figure out how to go about it. Any suggestio...
The simplest would possibly be to use a CSS transform to rotate by 180 degrees. Since the initial value for transform-origin is 50% 50% 0 the rotation happens around the center. This avoids the need to actually modify the SVG. body { margin: 0;}footer { position: absolute; width: 100%; height: 100px; bottom: 0; o...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/48602270', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1602221/']}
jdg_224336
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4101511
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: $$\sum_{n=1}^\infty \frac{(-1)^n\cdot n!}{5^n}$$ According to ratio test, $$\sum_{n=1}^\infty \frac{n!}{5^n}$$ diverges, so I believe $$\sum_{n=1}^\infty \frac{(-1)^n\cd...
Since $$n! = \underbrace{n(n-1)\cdots 5}_{n-4 \text{ terms}}\cdot 4 \cdot 3\cdot 2\cdot 1\geq 5^{n-4}$$ we have $$\left|(-1)^n \frac{n!}{5^n}\right| = \frac{n!}{5^n} \geq \frac{1}{5^4} \not\xrightarrow[n\to\infty]{}0$$ so the terms of the series do not converge to $0$ . By the limit test, the series diverges.
{}
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jdg_264370
PrimeIntellect/stackexchange-question-answering