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 | 4623472 |
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 $E$ be a normed $\mathbb{K}$ -vector space ( $\mathbb{K} = \mathbb{R}$ or $\mathbb{C}$ ). I'm interested in the following question: If every dense subspace is of fin... | Assume $E$ is an infinite dimensional normed space. Therefore it contains an infinite linearly indepedent set $B_0=\{b_{n,m}\}_{n,m=1}^\infty,$ such that $\|b_{n,m}\|=1.$ This set can be extended to a Hamel basis $B$ of $E.$ Consider the linear operator $A$ defined on $B$ by $$Ab=\begin{cases} mb_{n,1} & b=b_{n,m}\\0... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/4623472', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/1104384/']} | jdg_208406 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 71728 |
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:
The code Limit[Log[2 - Sin[x]*Cos[x]], x -> Infinity] outputs Interval[{0, Log[3]}] in Mathematica 10.0.2.0 . It should be Interval[{Log[3/2]}, Log[5/2]}] instead... | Slow down the approach, Limit[Log[2 - Sin[x]*Cos[x]] /. x -> x/2, x -> Infinity] or speed it up, Limit[Log[2 - Sin[x]*Cos[x]] /. x -> 2 x, x -> Infinity] -- both yield Interval[{Log[3/2], Log[5/2]}] | {} | {'log_upvote_score': 4, 'links': ['https://mathematica.stackexchange.com/questions/71728', 'https://mathematica.stackexchange.com', 'https://mathematica.stackexchange.com/users/7152/']} | jdg_301831 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 25210120 |
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 turn on/off "Do no disturb" for mac os x programmatically, which means by code. I've done some research by google, such as: By Automator script applescripti... | Unfortunatelly (yet unsurprisingly), there's no public API for dealing with user’s notifications preferences, one of which is Do Not Disturb mode (DND). Nevertheless if your want to provide the feature of turning DND on and off in your application, you're not out of luck actually: there're three ways for you to choose ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/25210120', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2775751/']} | jdg_305190 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2752597 |
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 the setup of the problem, it is given that $F$ is a field, $F(x)$ is the field of rational functions with coefficients in the field $F$, and $n$ is a positive integer... | A short way of seeing this: By Gauss' Lemma, $t^n - x$ is irreducible in $F(x)[t]$ if and only if it is irreducible in $F[x][t]$. But $F[x][t] = F[t][x]$ and $t^n - x$ is a polynomial of degree $1$ in $F[t][x]$ so is irreducible in $F[t][x]$ and therefore in $F[x][t]$ so as well in $F(x)[t]$. | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/2752597', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/555855/']} | jdg_164289 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 94018 |
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 I prove the following identities: $$ \left( x^n \ln x \right)^{(n)}= n! \left(\ln x + 1 + \frac{1}{2} +\cdots +\frac{1}{n} \right), \quad x>0, \quad n\ge 1, \ta... | I prefer using induction to prove the statement. For (a), when $n=1$, by product rule $$\left( x \ln x \right)'=\ln x+x\cdot\frac{1}{x}=1!(\ln x+1),$$which shows that (a) is true for $n=1$. Now suppose that (a) is true for $n=k$, i.e. $$\left( x^k \ln x \right)^{(k)}= k! \left(\ln x + 1 + \frac{1}{2} +\cdots +\frac{1}... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/94018', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/19781/']} | jdg_94691 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 11716380 |
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 extract: text from following src of the image tag and text of the anchor tag which is inside the div class data I successfully manage to extract the img src, but am... | This will help: from bs4 import BeautifulSoupdata = '''<div class="image"> <a href="http://www.example.com/eg1">Content1<img src="http://image.example.com/img1.jpg" /></a> </div> <div class="image"> <a href="http://www.example.com/eg2">Content2<img src="http://image.example... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/11716380', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/200317/']} | jdg_150459 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 7036350 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
With ARC, I can no longer cast CGColorRef to id . I learned that I need to do a bridged cast. According clang docs : A bridged cast is a C-style cast annotated with one of th... | I agree that the description is confusing. Since I just grasped them, I'll try to summarize: (__bridge_transfer <NSType>) op or alternatively CFBridgingRelease(op) is used to consume a retain-count of a CFTypeRef while transferring it over to ARC. This could also be represented by id someObj = (__bridge <NSType>) op; C... | {} | {'log_upvote_score': 9, 'links': ['https://Stackoverflow.com/questions/7036350', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/256405/']} | jdg_374654 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 105380 |
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:
Are there any major architectural differences when designing applications that will be built on static languages (such as C# or Java) and dynamic language... | Let's get a few things straight: Interactive scripting and static languages aren't mutually exclusive. F# and Haskell both have REPL interfaces. Dynamic languages and high performance aren't mutually exclusive, though some optimizations are. JavaScript runs pretty damn fast on most browsers nowadays. Even in dynamic la... | {} | {'log_upvote_score': 5, 'links': ['https://softwareengineering.stackexchange.com/questions/105380', 'https://softwareengineering.stackexchange.com', 'https://softwareengineering.stackexchange.com/users/35382/']} | jdg_94843 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 81799 |
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 well-observed phenomenon has, besides several others, always been a fascination to me. We are well aware of several theories, experiments, and practical applicat... | The question What IS reflection? is really a duplicate of yours, but I suspect the answer may be a bit brief for you. A light wave, like any electromagnetic wave, is a combination of an oscillating electric and magnetic field. These fields exert an oscillating force on the electrons in any material the wave hits, and t... | {} | {'log_upvote_score': 5, 'links': ['https://physics.stackexchange.com/questions/81799', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/26063/']} | jdg_180606 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 607054 |
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:
In the solution of this problem, in order to calculate the value of 'v', D1 is considered to be reversed-biased and D2 forward-biased. How do we know that beforeh... | How do we know that beforehand? We look at each diode in turn and forget that the other one is present in the circuit. In other words we test scenarios like this: - Ignoring D1 Because there is +3 volts on the anode of D2 and, because the cathode connects to a negative supply voltage via a resistor, we can say that the... | {} | {'log_upvote_score': 4, 'links': ['https://electronics.stackexchange.com/questions/607054', 'https://electronics.stackexchange.com', 'https://electronics.stackexchange.com/users/223555/']} | jdg_320270 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 685559 |
Below is a question asked on the forum physics.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
It's cold outside right now, and the biggest river in the country has frozen over. We're talking about a minimum of 500m in width, and I've no idea how deep (but some... | You know that ice is less dense than water. Then, water that freezes will stay at the surface. Also, take in mind that water will only freeze on the surface. Then as you said, any ice that forms will break apart. But there are places on the river where these tiny pieces of ice can accumulate, forming mushy ice. There a... | {} | {'log_upvote_score': 6, 'links': ['https://physics.stackexchange.com/questions/685559', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/3381/']} | jdg_173981 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 16461524 |
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 a method that is using reflection to inspect parameter types of methods. This methods iterates through the ParameterInfo's and is doing something with the typ... | I would say that IsClass is simply misleading here. It states: Gets a value indicating whether the System.Type is a class; that is, not a value type or interface. and it is implemented this way: it checks whether the flags include Interface , and whether it is a ValueType . Unfortunately, there are more things that thi... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/16461524', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2304116/']} | jdg_309962 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1503900 |
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 do people think are the most important issues when developing an application that is going to allow users to upload video and images to a server and have them transcoded... | I don't think you'll want to start a new FFMPEG instance every time someone uploads a file for transcoding. Instead, you'll probably want to start the same number of FFMPEG processes as the number of CPUs you have, then queue up the input files you want to transcode and do them in the order they were received. You co... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/1503900', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/77174/']} | jdg_179196 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 865296 |
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 find a way to replace the dots of a UIPageControl with a caption that reads "Page X of Y" since I'll likely have >50 items. I'm just becoming familiar with Coco... | EDIT: This answer has received several upvotes. Thank you but for all who come here please realize that the UIPageControl is very easy to implement yourself ! More to the point, take a look at my response and sample code below for some ideas but you really shouldn't use it in production code. Roll your own subclass ... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/865296', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/83853/']} | jdg_123394 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 45211 |
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 was playing around with Pushover , and had the thought that it would be cool if I could use it as an argument on any random command, so that it would run a pushover sc... | You do it the other way around: $ pushover-notify "This is my message" command arg1 arg2 Your script pushover-notify could be something like this: #!/bin/shTOKEN=your_tokenUSER=your_userMSG="$1"COMMAND="$2"shift 2if "$COMMAND" "$@" ; then # here run your send-message script, with message "$MSG". for example: curl -... | {} | {'log_upvote_score': 4, 'links': ['https://unix.stackexchange.com/questions/45211', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/8520/']} | jdg_211356 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 48734670 |
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 started using SASI indexing and used the following setup, CREATE TABLE employee ( id int, lastname text, firstname text, dateofbirth date, PRIMARY KEY (id, l... | 1) Could somebody explain how it differs from normal secondary index in Cassandra? Normal secondary index is essentially another lookup table comprising secondary index columns & primary key. Hence it has its own set of sstable files (disk), memtable (memory) and write overhead (cpu). SASI was an improvement open sourc... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/48734670', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1602853/']} | jdg_112368 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1522709 |
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:
We have 125 horses, and we want to pick the fastest 3 horses out of those 125. In each race, only 5 horses can run at the same time because there are only 5 tracks. What... | OPs strategy for $25$ horses can be extented to $125$ horses resulting in a determination of the fastest three horses within $33$ races. We can obtain the following information from a race with five horses The horses at the $4^{th}$ and $5^{th}$ position can be ruled out and all other horses which are known to be slowe... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/1522709', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/209683/']} | jdg_83061 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 46131572 |
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 trying to make a bubble chart in Matplotlib where the bubbles do not overlap, so packing the circles/bubbles in the chart, approximately like this . What I tho... | The following would be a brute-force approach. You can first place all circles on a grid, with a gridspacing as large as twice the maximum radius of any of the circles. Then you let the circles do a random walk and check in each step if the "potential energy" of the bunch of cicles has become smaller and if the positio... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/46131572', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/6503432/']} | jdg_295199 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 6589319 |
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 two questions related to C++: In many textbooks, the keyword this is a pointer to the calling object . Correct? As i like to play with coding, i wrote the following s... | void Base::g() { cout << "Base::g()" << endl; cout << "sizeof(*this) : " << sizeof(*this) << endl; this->f();} The important distinction that needs to be made is that sizeof is a compile-time operator, not a runtime operator . The compiler interprets the expression sizeof(*this) as "the size of the object poin... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/6589319', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/801734/']} | jdg_123990 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 13542345 |
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 convert st_mtime to string format for passing it to java layer, i try to use this example http://www.cplusplus.com/forum/unices/10342/ but compiler produce errors i... | According to the stat(2) man page, the st_mtime field is a time_t (i.e. after reading the time(7) man page, a number of seconds since the unix Epoch ). You need localtime(3) to convert that time_t to a struct tm in local time, then, strftime(3) to convert it to a char* string. So you could code something like: time_t t... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/13542345', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1346297/']} | jdg_196322 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 51102770 |
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 some help. so i need to get list of data from firebase and put it in a horizontal recylerview. below is the code, i already doublecheck it and the code return correct ... | In python3.7, given the following dataclass definition @dataclass(eq=False)class Number: val: int the expected result for Number(1) == Number(1) is False . This is correct since setting eq = True only overrides the default python-object equality function , which just checks for identical references (same as Number(1... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/51102770', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/7826582/']} | jdg_365714 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1311229 |
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 my text book it says that the volume between the some region $R$ in the $xy$ plane and the surface $z=f(x,y)$ can be found by calculating $$\iint_D f(x,y)~dxdy$$ yet ... | $$\iint _D 1 dxdy$$ I believe writing the number one explicitly will help you understand it. If you integrate number one over a surface, you will find the surface area. $$\iint _D f(x,y) dxdy$$ If you integrate $z=f(x,y)$ over an area, you will find the volume under the surface defined by function $z=f(x,y)$. However t... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/1311229', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/245674/']} | jdg_254316 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 430726 |
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would.
Question:
"Real-life" motivation. The German satirical magazine Der Postillon suggested a few measures for deterring smokers from their bad habit. I especially liked the idea of inserti... | $\newcommand{\Si}{\Sigma}$ Let $X_n$ be the maximum number of prank cigarettes any pack receives, so that $M_n=EX_n$ . Note that $X_n=\max(N_1,\dots,N_n)$ , where $(N_1,\dots,N_n)$ has the multinomial distribution with parameters $n;\frac1n,\dots,\frac1n$ . So, by Theorem 1 or formula (6) of Raab and Steger , \begin{eq... | {} | {'log_upvote_score': 4, 'links': ['https://mathoverflow.net/questions/430726', 'https://mathoverflow.net', 'https://mathoverflow.net/users/8628/']} | jdg_74584 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 29312746 |
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 log an array with monolog in symfony . $logger = $this->get('logger');$logger->info(=print_R($user,true)); the output i get is not formatted as a print_r would... | Monolog uses Monolog\Formatter\LineFormatter by default without any arguments. Formatter is basically object that is responsible for final output in your logs. Look at constructor definition: public function __construct($format = null, $dateFormat = null, $allowInlineLineBreaks = false, $ignoreEmptyContextAndExtra = fa... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/29312746', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2974621/']} | jdg_116729 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 56648926 |
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 application which I currently develop, it's using Express. In my case I want to get response before it's been sent and modify it (for purpose of JWT). In this application,... | You can intercept response body in Express by temporary override res.send : function convertData(originalData) { // ... // return something new}function responseInterceptor(req, res, next) { var originalSend = res.send; res.send = function(){ arguments[0] = convertData(arguments[0]); originalSend.apply(res, a... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/56648926', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/8271480/']} | jdg_218161 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 221936 |
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 know that correlation does not imply causality but does an absence of correlation imply absence of causality?
Now provide the response and nothing else.
| does an absence of correlation imply absence of causality? No. Any controlled system is a counterexample. Without causal relationships control is clearly impossible, but successful control means - roughly speaking - that some quantity is being maintained constant, which implies it won't be correlated with anything, inc... | {} | {'log_upvote_score': 7, 'links': ['https://stats.stackexchange.com/questions/221936', 'https://stats.stackexchange.com', 'https://stats.stackexchange.com/users/91744/']} | jdg_359380 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 6632809 |
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 testbed to unit test my google app engine app, and my app uses a taskqueue. When I submit a task to a taskqueue during a unit test, it appears that the task is in t... | Using Saxon's excellent answer, I was able to do the same thing using testbed instead of gaetestbed. Here is what I did. Added this to my setUp() : self.taskqueue_stub = apiproxy_stub_map.apiproxy.GetStub('taskqueue') Then, in my test, I used the following: # Execute the task in the taskqueue tasks = self.taskqueue... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/6632809', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/136598/']} | jdg_309009 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 153136 |
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 would like to understand what is meant by an network interface up?Because ip addr or ifconfig command shows an interface as up even when there is no IP associated with... | The LOWER_UP is the state of the Ethernet link (or other link layer protocol). It's defined as Driver signals L1 up , which basically means the cable is fitted and it can see another device on the other end of the cable. The UP means that it has been enabled. This can be controlled by you (or a script) using the ip li... | {} | {'log_upvote_score': 4, 'links': ['https://unix.stackexchange.com/questions/153136', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/82643/']} | jdg_166913 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 662538 |
Below is a question asked on the forum physics.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
Suppose we have the following equation: $$\frac{1}{r}\mathrm{d}r=\frac{1}{T}\mathrm{d}T$$ where $r$ be the distance and $\dim r=L^1$ , and T can be the temperature wi... | The expression is still dimensionless, since special functions generally take dimensionless quantities as arguments. You can rewrite the logarithm as $$\ln r\Big|_i^f = \ln r_f - \ln r_i = \ln \left(\frac{r_f}{r_i} \right)$$ which is dimensionless. For the record the intermediate step might raise some concerns, but as ... | {} | {'log_upvote_score': 5, 'links': ['https://physics.stackexchange.com/questions/662538', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/273365/']} | jdg_245245 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2966 |
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:
Context you have 200 observations of an individual's running time for the 100 metres measured once a day for 200 days. Assume the individual was not a runner before com... | You need to perform an isotonic (i.e. monotonic non decreasing) nonparametric regression (see page 6 of this document for an example), then use $\hat{E}(y|x)+ \delta \hat{\sigma}(y|x)$ with $\delta>0$ as the upper potential. There are many packages that will do that in R. I like this one for its simplicity. Isotonic no... | {} | {'log_upvote_score': 4, 'links': ['https://stats.stackexchange.com/questions/2966', 'https://stats.stackexchange.com', 'https://stats.stackexchange.com/users/183/']} | jdg_322998 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 190168 |
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 am trying to set my DOS environment variable in Ruby, and have it persist after the script exits. For example, if I want a ruby script set_abc_env.rb to set environment var... | You can access environment variables via Ruby ENV object: i = ENV['ABC']; # nilENV['ABC'] = '123';i = ENV['ABC']; # '123' Bad news is, as MSDN says , a process can never directly change the environment variables of another process that is not a child of that process. So when script exits, you lose all changes it did. G... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/190168', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/24560/']} | jdg_189903 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 44877379 |
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 need to use a service layer in the AutoMapper profile class in ASP.NET Core but when I inject service in the constructor it does not work. For example: public class UserPro... | To solve your problem you just need to wire IUserManager in DI, and make sure UserProfile dependency is resolved. public void ConfigureServices(IServiceCollection services){ // ... services.AddSingleton<IUserManager, UserManager>(); services.AddSingleton(provider => new MapperConfiguration(cfg => { c... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/44877379', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3152927/']} | jdg_373421 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2513024 |
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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Here is my first attempt at validating XML with XSD. The XML file to be validated: <?xml version="1.0" encoding="utf-8" ?><config xmlns="Schemas" xmlns:xsi="http://www.w3.org... | Rather than using the XDocument.Validate extension method, I would use an XmlReader which can be configured to process an inline schema via XmlReaderSettings . You could do some thing like the following code. public void VerifyXmlFile(string path){ // configure the xmlreader validation to use inline schema. XmlRe... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/2513024', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/147601/']} | jdg_181217 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 109613 |
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 designing a readout circuit for a photodiode consisting of a transimpedance amplifier. I've noticed that the photodiode has a relatively large capacitance (32... | Yes, there are many things beyond the textbook transimpedance amplifier configuration. For example, you can use a cascoded transimpedance amplifier and bootstrap it to reduce the effect of the PD capacitance. Dr. Phil Hobbs is an expert in this subject, and I would recommend his book on Electro-optical Systems. Here's ... | {} | {'log_upvote_score': 4, 'links': ['https://electronics.stackexchange.com/questions/109613', 'https://electronics.stackexchange.com', 'https://electronics.stackexchange.com/users/27067/']} | jdg_144712 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 189584 |
Below is a question asked on the forum stats.stackexchange.com. Provide a good and informational response to it like a helpful human would.
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I'm taking a course on regression models and one of the properties provided for linear regression is that the residuals always sum to zero when an intercept is included... | This follows directly from the normal equations, i.e. the equations that the OLS estimator solves, $$\mathbf{X}^{\prime} \underbrace{\left( \mathbf{y} - \mathbf{X} \mathbf{b} \right)}_{\mathbf{e}} = 0 $$ The vector inside the parentheses is of course the residual vector or the projection of $\mathbf{y}$ onto the orthog... | {} | {'log_upvote_score': 5, 'links': ['https://stats.stackexchange.com/questions/189584', 'https://stats.stackexchange.com', 'https://stats.stackexchange.com/users/52070/']} | jdg_89516 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 4899613 |
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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Preface This is my first attempt at a Filter, be gentle. Project Description I am trying to finalize a build for a SSO for several of our applications and I seem to be hittin... | I'm adding a new answer, since it's completely different. I did a test on my system. I copied your code, dumped the cookie test, and wrote a simple Servlet to dump things out for me. And it worked fine, save for one caveat. I don't know how your app is using this. But your ServletRequestWrapper implements getHeaderName... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/4899613', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/588005/']} | jdg_91704 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 12744145 |
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 am submitting some data to my database then reloading the same page as the user was just on, I was wondering if there is a way to remember the scroll position the user was ... | I realized that I had missed the important part of submitting, so, I decided to tweak the code to store the cookie on click event instead of the original way of storing it while scrolling. Here's a jquery way of doing it: jsfiddle ( Just add /show at the end of the url if you want to view it outside the frames ) Very i... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/12744145', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/748343/']} | jdg_302301 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 28100214 |
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 can get the result I expect by entering this in LINQPad: SELECT * FROM WorkTable WHERE WTName LIKE "DSD__20090410014953000%" (it shows me the record which has a WTName valu... | The wildcard % should be added to the parameter value, not to the parameter name const string qry = "SELECT SiteNum FROM WorkTable WHERE WTName LIKE @wtName";using (SQLiteConnection con = new SQLiteConnection(HHSUtils.GetDBConnection())){ con.Open(); SQLiteCommand cmd = new SQLiteCommand(qry, con); cmd.Paramet... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/28100214', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/875317/']} | jdg_206451 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 622563 |
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:
NIST quotes the electron $g$ -factor to 15 significant figures with a fractional uncertainty of about $0.2$ parts-per-trillion: $$ g_e = −2.002\, 319\, 304\, 362\, 56... | The experimental results are indeed substantially more precise than the theoretical calculations. The precision of the theoretical result is limited by a couple of things. Firstly, in order to compare a prediction to the experimental number, another experimental input is needed to get the value of the fine structure ... | {} | {'log_upvote_score': 4, 'links': ['https://physics.stackexchange.com/questions/622563', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/47594/']} | jdg_221361 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 21910 |
Below is a question asked on the forum reverseengineering.stackexchange.com. Provide a good and informational response to it like a helpful human would.
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I'm trying to see if I can append function code in the .text section of an ELF while still maintaining the execution flow of the original ELF. Ideally, I ... | It is possible to do what you want. There are some difficulties you may encounter though. I'll show you a short instruction how it can be done in several different cases. Have a look at ELF specification to know how every file in that format looks like, which sections it consists of and how they are located in the proc... | {} | {'log_upvote_score': 4, 'links': ['https://reverseengineering.stackexchange.com/questions/21910', 'https://reverseengineering.stackexchange.com', 'https://reverseengineering.stackexchange.com/users/29337/']} | jdg_103615 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 10803483 |
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 written this query: SELECT s, [1] AS a1, [2] AS a2, [3] AS a3, [4] AS a4FROM (SELECT grade, aid, s FROM m) pPIVOT(SUM(grade)FOR aid IN ([1], [2], [3], [4])) AS pvt ORD... | You will need to use a Dynamic Pivot to get the list of columns that you want. This will retrieve the list of columns first and then pivot that list. Something similar to this: DECLARE @cols AS NVARCHAR(MAX), @query AS NVARCHAR(MAX);select @cols = STUFF((SELECT distinct ',' + QUOTENAME(aid) FROM m ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/10803483', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1423973/']} | jdg_138836 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 38168 |
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 think, because in the category of schemes, all finite limits exist, the commutative groupobjects with homomorphisms should form an abelian category. Is this true? And do you... | The category of commutative affine algebraic group schemes over any field is abelian. More generally, the standard isomorphism theorems in abstract group theory hold in the category of affine algebraic group schemes over a field. See, for example, Chapt 1 of my online notes. Over other bases, this need not be true. If ... | {} | {'log_upvote_score': 5, 'links': ['https://mathoverflow.net/questions/38168', 'https://mathoverflow.net', 'https://mathoverflow.net/users/9110/']} | jdg_319676 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 151595 |
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would.
Question:
It is a long standing problem to investigate whether irreducible integral polynomials not divisible by a fixed square integer assumes square-free values infinitely often. The ... | 1) The polynomial in two variables $f(x,y)=2(x^2-2y^2)$ will take the primevalue $p=2$ infinitely often (Pell's equation). 2) Nontrivial results in the direction of your questionare due to Gihan Marasingha: a) Almost primes represented by binary forms. J. Lond. Math. Soc. (2) 82 (2010), no. 2, 295–316. b) On the repres... | {} | {'log_upvote_score': 4, 'links': ['https://mathoverflow.net/questions/151595', 'https://mathoverflow.net', 'https://mathoverflow.net/users/10898/']} | jdg_292655 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3838414 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Can we update primary key values of a table?
Now provide the response and nothing else.
| It is commonly agreed that primary keys should be immutable (or as stable as possible since immutability can not be enforced in the DB). While there is nothing that will prevent you from updating a primary key (except integrity constraint), it may not be a good idea: From a performance point of view: You will need to u... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/3838414', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/441115/']} | jdg_171598 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 108921 |
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 am a student in 10th class. I have joined my school's science club and I am trying to design a circuit for buzzers to be used in quiz. With normal buzzers, it s... | When all you have is transistors, it handy to be able to fall back on RTL design techniques . First of all, you're going to want to be able to latch the first button pressed, since contestants will often just press the button momentarily. Then, when things settle down, the moderator or quiz master can reset the circuit... | {} | {'log_upvote_score': 4, 'links': ['https://electronics.stackexchange.com/questions/108921', 'https://electronics.stackexchange.com', 'https://electronics.stackexchange.com/users/41235/']} | jdg_168219 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 51765 |
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'm trying to create several symbols and assign values to them. Here's what currently appears to work: Evaluate[Symbol["fdds" <> ToString[10]]] = 1 But there's th... | You can apply Clear to the result of the expression generated by the string by using the optional third argument of ToExpression : Evaluate[Symbol["fdds" <> ToString[10]]] = 1(* ==> 1 *)fdds10(* ==> 1 *)ToExpression["fdds" <> ToString[10], InputForm, Clear]fdds10(* ==> fdds10 *) The third argument of ToExpression is Cl... | {} | {'log_upvote_score': 4, 'links': ['https://mathematica.stackexchange.com/questions/51765', 'https://mathematica.stackexchange.com', 'https://mathematica.stackexchange.com/users/5208/']} | jdg_252124 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 51663446 |
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 convert strings to Enum values, but want a function which returns null if the string is not an enum. enum class Colors{ Red, Green, Blue} I can used Colors.valueO... | You don't want an extension since they must be invoked on an existing object. You want a top-level function. There is a built in one You can use: /** * Returns an enum entry with specified name. */@SinceKotlin("1.1")public inline fun <reified T : Enum<T>> enumValueOf(name: String): T You can call it by inferring the ty... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/51663446', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2141659/']} | jdg_97712 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1111130 |
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 trying to figure out how to upload one file using GWTs FileUpload widget. I'm using GWT and Google AppEngine with Java but I would like to upload file to my own Linux ser... | Here's the code from my app: 1) I created a class to accept http request: import java.io.ByteArrayOutputStream;import java.io.IOException;import java.io.InputStream;import javax.servlet.ServletException;import javax.servlet.http.HttpServlet; import javax.servlet.http.HttpServletRequest; import javax.servlet.http.HttpSe... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/1111130', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/51230/']} | jdg_79067 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 32366694 |
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 just started learning R and I wrote this code to learn on functions and loops. squared<-function(x){ m<-c() for(i in 1:x){ y<-i*i c(m,y) } return (m)}squared... | You haven't put anything inside m <- c() in your loop since you did not use an assignment. You are getting the following - m <- c()m# NULL You can change the function to return the desired values by assigning m in the loop. squared <- function(x) { m <- c() for(i in 1:x) { y <- i * i m <- c(m, y) ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/32366694', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3577754/']} | jdg_327058 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 50325932 |
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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Im using 2 containers on my Ubuntu OS: Gitlab-ce and gitlab-runner Containers names are: gitlab_gitlab_1 and gitlab_gitlab-runner_1 I access to my gitlab app via gitlab.local... | Thanks to Tarun Lalwan link and according to Joyce Babu post, there are an undocumented option from the gitlab runner repos in the [runners.docker] section network_mode : Add container to a custom network So I have to set this option with my network name in the config.toml like [[runners]] ... [runners.docker] ...... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/50325932', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/731057/']} | jdg_202111 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 349453 |
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 need to introduce a delay to the output of an astable, it needs to be in the order of 10 micro seconds. I have read that optical cable is good for delays, which... | simulate this circuit – Schematic created using CircuitLab There is a tolerance on Vt+ and Vt- that shifts withtemperature that will make the delays asymmetric. Also if the waveform is not repetitive, it will take 20% longer for the 1st edge. This is my approach if the delay tolerance is adequate. Since the Schmitt tri... | {} | {'log_upvote_score': 4, 'links': ['https://electronics.stackexchange.com/questions/349453', 'https://electronics.stackexchange.com', 'https://electronics.stackexchange.com/users/124756/']} | jdg_282022 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 7688151 |
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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Either I'm doing this wrong or i'm not understanding how this method works. ArrayList<String> a = new ArrayList<String>();a.ensureCapacity(200);a.add(190,"test");System.out.p... | No, ensureCapacity doesn't change the logical size of an ArrayList - it changes the capacity , which is the size the list can reach before it next needs to copy values. You need to be very aware of the difference between a logical size (i.e. all the values in the range [0, size) are accessible, and adding a new element... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/7688151', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/351980/']} | jdg_153432 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 659253 |
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 use Bash 5.1.8. Running man shows the manual page but with the following errors man pssh: bat: line 10: syntax error near unexpected token `('sh: bat: line 10: ` *.?(... | man is not reading your ~/.profile but it will run sh to interpret some command lines (or to interpret nroff which at least on my system is a sh script wrapper to groff ), and on your system sh happens to be bash , which imports functions exported by bash 's export -f (in variables named BASH_FUNC_funcname%% since shel... | {} | {'log_upvote_score': 5, 'links': ['https://unix.stackexchange.com/questions/659253', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/30580/']} | jdg_177843 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 896274 |
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 concise way to select the nextval for a PostgreSQL sequence multiple times in 1 query? This would be the only value being returned. For example, I would like to d... | select nextval('mytable_seq') from generate_series(1,3); generate_series is a function which returns many rows with sequential numbers, configured by it's arguments. In above example, we don't care about the value in each row, we just use generate_series as row generator. And for each row we can call nextval. In this c... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/896274', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/122/']} | jdg_71921 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 590699 |
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:
apt is the command that is being recommended by the Linux distributions. It provides the necessary option to manage the packages. It is easier to use with its fewer but ... | 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 ... | {} | {'log_upvote_score': 5, 'links': ['https://unix.stackexchange.com/questions/590699', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/292716/']} | jdg_305924 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 8428328 |
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 query to this effect: select * from players where player_name like '%K% and player_rank<10 and check_if_player_is_eligible(player_name) > 1; Now, the funct... | Here's two methods where you can trick Oracle into not evaluating your function before all the other WHERE clauses have been evaluated: Using rownum Using the pseudo-column rownum in a subquery will force Oracle to "materialize" the subquery. See for example this askTom thread for examples . SELECT * FROM (SELECT * ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/8428328', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/443259/']} | jdg_104722 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 353414 |
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 evaluate $$\int_0^\pi\frac{1}{1+(\tan x)^\sqrt2}\ dx$$ Can you keep this at Calculus 1 level please? Please include a full solution if possible. I tried this ... | Indeed this was a Putnam question. The $\sqrt{2}$ is pretty much irrelevant. Notice $$I=\int_0^\pi\frac{dx}{1+\tan(x)^{\sqrt2}}=\int_\pi^0\frac{d(\frac{\pi}{2}-u)}{1+(\tan(\frac{\pi}{2}-u))^{\sqrt2}}=\int_0^\pi\frac{du}{1+\cot(u)^{\sqrt2}}$$ and $$\frac{1}{1+\tan(x)^{\sqrt2}}=\frac{\cos(x)^{\sqrt2}}{\cos(x)^{\sqrt2}+\s... | {} | {'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/353414', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/64460/']} | jdg_87018 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 5340 |
Below is a question asked on the forum stats.stackexchange.com. Provide a good and informational response to it like a helpful human would.
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In Excel or Google Docs you can readily construct a Cumulative Distribution Function for the Normal distribution using the NORMDIST function (X, Mean, Standard Deviatio... | I mistrust all but the lowest-level functions in Excel, and for good reason: many procedures that go beyond simple arithmetic operations have flaws or errors and most of them are poorly documented. This includes all the probability distribution functions. Numerical flaws are inevitable due to limitations in floating p... | {} | {'log_upvote_score': 5, 'links': ['https://stats.stackexchange.com/questions/5340', 'https://stats.stackexchange.com', 'https://stats.stackexchange.com/users/1329/']} | jdg_96526 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 57635818 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
When i type input and on change editing.hours doesn't update input value but i see updated value in the console. const nullableEntry = { ID: '', day: '', hours: 0.0,... | In React, you should avoid doing state-mutations, which means do not explicitly change something belonging to the existing state. In order for React to decide whether or not to re-render to reflect your changes, it needs to register a new-state. Get in a good habit of creating a clone or deep-copy of the state, and the... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/57635818', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/7664185/']} | jdg_344379 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 665448 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
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This is a soft question. Let $V,\rho$ be a representation of the lie algebra $\mathfrak{so}_3(\mathbb{R})$. Then if I understand everything right, $V$ is necessarily com... | Unipotent groups are never compact, and clearly the Lie algebra does not detect compactness for tori, so let's restrict to semisimple $G$. By Sylvester's law of inertia, the Killing form on the Lie algebra $\mathfrak{g}$ of $G$ can be diagonalized with diagonal entries equal to $1$, $-1$, or $0$. By Cartan's criterion ... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/665448', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/13120/']} | jdg_325008 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3204102 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
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I. Logarithmic integral The logarithmic integral $\rm{li}(z)$ has a unique positive zero at $z \approx 1.451363$ called the Ramanujan-Soldner constant. II. Cosine integr... | If you look here , you will see that the zeros are given by $$a+\frac{1}{a}-\frac{16}{3\, a^3}+\frac{1673}{15\, a^5}-\frac{507746}{105 \, a^7}+O\left(\frac{1}{a^9}\right)$$ where $a=k \pi$ for the cosine integral and $a=\left(k+\frac 12\right)\pi$ for the sine integral. If you want a more compact form, you could use $... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/3204102', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/4781/']} | jdg_127781 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 386317 |
Below is a question asked on the forum stats.stackexchange.com. Provide a good and informational response to it like a helpful human would.
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Given two (numeric) samples I would like to show that there is not a significant difference between the two means $\mu_{1}$ and $\mu_{2}$ . If my goal was to show a sig... | You cannot use the first test in the way you describe, because failure to reject in the first test only says that you were unable to reject $H_0$ nothing more than that. It is like only being given the information that "the prosecutor was unable to provide the jury with enough evidence to secure a conviction" - that do... | {} | {'log_upvote_score': 5, 'links': ['https://stats.stackexchange.com/questions/386317', 'https://stats.stackexchange.com', 'https://stats.stackexchange.com/users/177679/']} | jdg_204543 | 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 have numbers, from 0 to 8. I would like in result, all possible sets of those numbers, each set should use all numbers, each number can occur only once in a set. I would li... | You're looking for the permutations formula: nPk = n!/(n-k)! In your case, you have 9 entries and you want to choose all of them, that's 9P9 = 9! = 362880 You can find a PHP algorithm to permutate in recipe 4.26 of O'Reilly's "PHP Cookbook". pc_permute(array(0, 1, 2, 3, 4, 5, 7, 8)); Copied in from O'Reilly: function p... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/5506888', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/588973/']} | jdg_255983 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 240351 |
Below is a question asked on the forum physics.stackexchange.com. Provide a good and informational response to it like a helpful human would.
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I want to calculate the electromagnetic tensor components in cylindrical coordinates. Suppose I did not know that those components are given in Cartesian coordinates ... | The problem is that there is a mismatch between the vector basis that you are using to write the 4-vector potential and the ones you are considering for your metric, which are not unitary. The standard cylindrical coordinate basis should have a Minkwoski metric, since we don't really have curvature in this case. The on... | {} | {'log_upvote_score': 4, 'links': ['https://physics.stackexchange.com/questions/240351', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/42249/']} | jdg_274042 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 17528749 |
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 variable can_run , that can be either 1 or 0, and then I have a queue of functions, that should be run as soon as the variable is switched from 0 to 1 (but only 1 su... | Here is a nice Queue class you can use without the use of timeouts: var Queue = (function () { Queue.prototype.autorun = true; Queue.prototype.running = false; Queue.prototype.queue = []; function Queue(autorun) { if (typeof autorun !== "undefined") { this.autorun = autorun; } ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/17528749', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/101152/']} | jdg_96829 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 4122424 |
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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Is there a way to create an event that will fire when an object's attributes/field values change? For instance, if the object has a field called private int number; And the u... | Make it a property rather than a field, and implement INotifyPropertyChanged in your class : class YourClass : INotifyPropertyChanged{ private int _number; public int Number { get { return _number; } private set { _number = value; OnPropertyChanged("Number"); }... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/4122424', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/462631/']} | jdg_241398 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 32168848 |
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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Using the pandas.date_range(startdate, periods=n, freq=f) function you can create a range of pandas Timestamp objects where the freq optional paramter denotes the frequency (... | Annual indexing to the beginning or end of the year Frequency is freq='A' for end of year frequency, 'AS' for start of year. Check the aliases in the documentation . eg. pd.date_range(start=pd.datetime(2000, 1, 1), periods=4, freq='A') returns DatetimeIndex(['2000-12-31', '2001-12-31', '2002-12-31', '2003-12-31'], dtyp... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/32168848', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4592067/']} | jdg_279351 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 307709 |
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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When working with Silverlight, I've noticed that Firefox will cache the XAP file, so if I do an update, a user may be stuck using an outdated version. Is there a way to forc... | The query string works perfectly, but I wouldn't use DateTime.Now , because it forces the user to re-download the app every time. Instead, we use the following: protected void Page_Load(object sender, EventArgs e){ var versionNumber = Assembly.GetExecutingAssembly().GetName().Version.ToString(); this.myApp.Source... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/307709', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/12172/']} | jdg_136104 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2274320 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
As a follow-up to cannot-bind-to-address-after-socket-program-crashes , I was receiving this error after my program was restarted: socket.error: [Errno 98] Address already in... | In this particular case, .setsockopt(SOL_SOCKET, SO_REUSEADDR, 1) may be called from the TCPServer class when the allow_reuse_address option is set. So I was able to solve it as follows: httpd = SocketServer.ThreadingTCPServer(('localhost', port), CustomHandler, False) # Do not automatically bindhttpd.allow_reuse_addre... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/2274320', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/101258/']} | jdg_187195 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 19493164 |
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 using the following code to send an image to a web server. It works, the problem is that the images are rotated for some reason when they get uploaded. here's my upload m... | Swift 5 Extension: extension UIImage { /// Fix image orientaton to protrait up func fixedOrientation() -> UIImage? { guard imageOrientation != UIImage.Orientation.up else { // This is default orientation, don't need to do anything return self.copy() as? UIImage } guard l... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/19493164', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/388458/']} | jdg_107898 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 10266959 |
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 want to make an activity that can be opened above ANY app. Normally, even when the activity is set as dialog, when you switch to my app, you see my app, and in the backgrou... | there are plenty of apps that show a floating view on top of everything like : airbrowser , LilyPad , Stick it , AirTerm , Smart Taskbar , aircalc ... anyway , in order to achieve this feature , you must have a special permission called "android.permission.SYSTEM_ALERT_WINDOW" , and use something like that: final Windo... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/10266959', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/974485/']} | jdg_305247 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2009498 |
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 something like Statistically Improbable Phrases work? According to amazon: Amazon.com's Statistically Improbable Phrases, or "SIPs", are the most distinctive phras... | It's a lot like the way Lucene ranks documents for a given search query. They use a metric called TF-IDF, where TF is term frequence and idf is inverse document frequency. The former ranks a document higher the more the query terms appear in that document, and the latter ranks a document higher if it has terms from t... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/2009498', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/41613/']} | jdg_125105 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 18400147 |
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 set custom data- attribute on the {{#linkTo}} helper? I want use this: {{#linkTo "foo" data-toggle="dropdown"}}foo{{/linkTo}} and the result should look like this: ... | A way you could do this is to extend your Ember.LinkComponent to be aware of the new attribute: Ember.LinkComponent.reopen({ attributeBindings: ['data-toggle']}); And then you can use it in your {{#link-to}} helper: {{#link-to 'foo' data-toggle="dropdown"}}Foo{{/link-to}} This will result in: <a id="ember262" class="e... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/18400147', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1458413/']} | jdg_358495 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 22051209 |
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 in an awkward situation , I am working with pure JavaScript for almost 3 years, and I know that JavaScript is single-threaded language, and that you can simulate asynch... | Javascript is singled-threaded but the browser is not. The browser has at least three threads: Javascript engine thread, UI thread, and timing thread, where the timing of setTimeout and setInterval are done by the timing thread. When calling setTimeout or setInterval , a timer thread in the browser starts counting down... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/22051209', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1309013/']} | jdg_180329 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 45144240 |
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 am fairly new to Excel and VBA. I wrote a code that separates a line of data into multiple sections which then adds headers, colors, and plots. The problem is when I have m... | I would do it like: [ngModel]="phone_numbers && phone_numbers[0]?.full_number"(ngModelChange)="phone_numbers?.length && phone_numbers[0].full_number=$event" Why? [(ngModel)] is expanded to [ngModel] (Input) and (ngModelChange) (Output). I passed phone_numbers && phone_numbers[0]?.full_number to input to ensure that we ... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/45144240', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/8298464/']} | jdg_217296 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 59623 |
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:
While looking into the convergence of the series $\sum_{n=1}^{\infty}\frac{\sin(n)}{n}$ I stumbled into the inequality $\vert\sin(n)\vert + \vert\sin(n-1)\vert \ge \sin(... | $1 = x - (x-1)$, so $$\begin{align*}\vert \sin 1\vert &= \vert\sin\left(x - (x-1)\right)\vert\\&= \vert\sin x \cos(x-1) - \cos x \sin(x-1)\vert\\&\le \vert\sin x \cos(x-1)\vert + \vert\cos x\sin(x-1)\vert\\&\le \vert\sin x \vert + \vert\sin(x-1)\vert,\end{align*}$$ since $\vert \cos(x-1)\vert$ and $\vert \cos x\vert$ a... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/59623', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/9246/']} | jdg_356693 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 104300 |
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would.
Question:
Hello,I asked this question already on StackExchange with no answer, maybe it will be better suited here. It is well known that $\operatorname{Ext}^1_\mathbb{Z}(\mathbb{Z}/p\m... | In general $Ext^1_R(R/I,M) \not\cong M/IM$. As an example take a finite abelian group $G$ and set $R := \mathbb{Z}G$ and let $I:= I_G = \ker(\mathbb{Z}G \to \mathbb{Z},\; g \mapsto 1)$ be the augmentation ideal. $I_G$ is a prime ideal since $\mathbb{Z}G/I_G \cong \mathbb{Z}$. Then, with trivial coefficients $$Ext_R^1(R... | {} | {'log_upvote_score': 4, 'links': ['https://mathoverflow.net/questions/104300', 'https://mathoverflow.net', 'https://mathoverflow.net/users/25602/']} | jdg_336527 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 64330 |
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:
This is probably straightforward - but how would I set the same color scale across multiple ListContourPlot s? if I have values from 10 to 25 on one ListContourPl... | You can use the same color scale in both plots together with the option ColorFunctionScaling -> False : data1 = RandomReal[{10, 25}, {10, 10}];data2 = RandomReal[{40, 100}, {10, 10}];bl = BarLegend[{"Rainbow", {0, 100}}, 50];lcp1 = ListContourPlot[data1, InterpolationOrder -> 3, ImageSize -> 300, ColorFunctionScaling... | {} | {'log_upvote_score': 5, 'links': ['https://mathematica.stackexchange.com/questions/64330', 'https://mathematica.stackexchange.com', 'https://mathematica.stackexchange.com/users/3059/']} | jdg_130587 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 40224746 |
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 evaluating differents mobile frameworks, and I think that nativescript is a good option. But I don't know if exists limitations on the development process. For example I ... | I have been using NativeScript since v0.90. I have written multiple apps and over 40 plugins for NativeScript, so I am very familiar with the ins and outs of the platforms. This post is features as of v6.50 . I can think of only a couple limitations; Tooling sometimes leaves a lot to be desired, however using the IDE'... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/40224746', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3444590/']} | jdg_344466 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 41966065 |
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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On the project I am joining this is the architecture for the node_packages : |- Django project|-- app1|-- app2|-- node_modules|--- foundation-sites|--- grunt|-- static|--- cs... | I understand your thinking of wanting to keep all the javascript related files in one place, but here are a couple of reasons you might want to keep the node_modules folder and the package.json file out of a Django app's static directory. You'll likely end up statically serving files that aren't meant to be. If the nod... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/41966065', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1807569/']} | jdg_87885 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 10565654 |
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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Having trouble full understanding this example from the docs ... I tried running it a bunch of different ways so I could observe how it works, etc. How do you subscribe to th... | Thanks for prompting me to write a clearer explanation. Here's a fuller example with my comments. There were a few bugs and inconsistencies that I've cleaned up. Next docs release will use this. Meteor.publish is quite flexible. It's not limited to publishing existing MongoDB collections to the client: we can publi... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/10565654', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/100304/']} | jdg_174434 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 821934 |
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 $A,B \in M_{n \times n}(K)$ , where $K=\mathbb{R}, \mathbb{C}$ , then the matrices $AB$ and $BA$ have same eigenvalues. I do that like this: let $\lambda$ ... | It suffices to show that $AB$ and $BA$ have the same characteristic polynomial. First assume that $A$ is invertible then $$\chi_{AB}(x)=\det(AB-xI)=\det A\det(B-xA^{-1})\\=\det(B-xA^{-1})\det A=\det(BA-xI)=\chi_{BA}(x)$$Now since $\operatorname{GL}_n(K)$ is dense in $\operatorname{M}_n(K)$ then there's a sequence of in... | {} | {'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/821934', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/142866/']} | jdg_275381 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 2566766 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
If you have 2 cross classifying variables you can use rowSums and colSums to produce margin totals on an xtabs output. But how can it be done if you have 3 classifying variab... | Aniko mentioned this in a comment, but it was never provided as an answer. I found this independently and then noticed it was here in a comment, so credit to Aniko for getting it first. addmargins is the answer: For a given table one can specify which of the classifying factors to expand by one or more levels to hold ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/2566766', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/269476/']} | jdg_296175 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 519621 |
Below is a question asked on the forum electronics.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
I have been reading about how alternators work and I am wondering where the initial magnetic field comes from when no current is running through the field coils t... | The initial field excitation, in an automotive alternator, is provided by the battery. In an automotive alternator, AC output from the star-connected 3-phase winding is rectified by a 3-phase full-wave bridge rectifier, to charge the battery through terminal B+. The same AC output is also rectified by a 3-phase half-wa... | {} | {'log_upvote_score': 5, 'links': ['https://electronics.stackexchange.com/questions/519621', 'https://electronics.stackexchange.com', 'https://electronics.stackexchange.com/users/236437/']} | jdg_144809 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1643756 |
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 $a$ is an integer, prove that $gcd(14a + 3, 21a + 4) = 1$ -We have just started the section on greatest common divisor, one thing I know is that $gcd(a,b) = ax + by$ ... | Using Euclidean algorithm : \begin{align}\gcd(14a+3,21a+4)&=\gcd(14a+3,7a+1)\\&=\gcd(7a+1,1)\\&=1\end{align} Equivalently, and more directly, \begin{align}(14a+3)(3)+(21a+4)(-2)&=(42a+9)-(42a+8)\\&=1\end{align} | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/1643756', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/309682/']} | jdg_133046 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3837030 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
Given, $\{x_n\}$ and $\{y_n\}$ are two real valued sequences such that $\lim_{n\to\infty} (x_{n}^{3}-y_{n}^{3})=0 $ Then is it always true that $\lim_{n\to\infty} (x_n-y... | Yes, $x_n^3 -y_n^3 \to 0 $ implies $ x_n - y_n \to 0$ for real-valued sequences. This follows from the following estimate: For all $x, y \in \Bbb R$ is $|x-y| \le \sqrt[3]{4|x^3 - y^3|}$ . (In other words: the function $x \mapsto x^{1/3}$ is “ Hölder continuous ” with exponent $1/3$ .) Due to the symmetry, it suffices ... | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/3837030', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/737804/']} | jdg_328659 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 3186853 |
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 going to be working on a bit of C# code on my own but I want to make sure that I follow the most widely accepted naming conventions in case I want to bring on other deve... | Follow the Microsoft Naming Guidelines . The guidelines for field usage indicate that it should be camelCase and not be prefixed. Note that the general rule is no prefix; the specific rule is not to prefix to distinguish between static and non-static fields. Do not apply a prefix to field names or static field names.... | {} | {'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/3186853', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/384016/']} | jdg_223699 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 22063612 |
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 pass CSRFToken with Ajax based post request but not sure how this can done in a best way.Using a platform which internally checking CSRFToken in request (POST reque... | How about this, $("body").bind("ajaxSend", function(elm, xhr, s){ if (s.type == "POST") { xhr.setRequestHeader('X-CSRF-Token', getCSRFTokenValue()); }}); Ref: http://erlend.oftedal.no/blog/?blogid=118 To pass CSRF as parameter, $.ajax({ type: "POST", url: "file", data: { CSRF: ... | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/22063612', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/471607/']} | jdg_310589 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 59893 |
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 try to search for lines that start with "1" using ls -1 | grep ^1* but it returns lines that do not start with 1. What I am missing here?
Now provide the response and... | Your regular expression doesn't mean what you think it does. It matches all lines starting (^) with one (1) repeated zero or more (*) times. All strings match that regular expression. grep '^1' does what you want. | {} | {'log_upvote_score': 8, 'links': ['https://unix.stackexchange.com/questions/59893', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/674/']} | jdg_107573 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 45009329 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Effective Java , Item 43 states: return unmodifiable empty collections instead of null . So far so good. Are there any guidelines, exactly what to return? Does this question ... | They're already cached for you by the Collections class, which contains some utility methods. You can use Collections.emptySet() , Collections.emptyMap() and Collections.emptyList() that return immutable empty collections. Just as long as you're using the Set , Map and List interfaces in your code, as you should. There... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/45009329', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5471574/']} | jdg_93655 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 11919749 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
I am new to responsive design, I am toying with twitter bootstrap responsive.css now. And I am encountering some trouble with my project. The trouble is, my left column won't... | I finally got this one, by reading articles from blogs and stack overflow questions that had been answered, and articles posted from your comments on this question. Based from common Breakpoints and View-ports for Mobile devices, i.e. 1200px wide viewport for large destkops, I have to insert my own style in a media que... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/11919749', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1516522/']} | jdg_325896 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1387074 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Normally ( Based on my understanding ) i have to follow a lot of steps to override the "Equals" to check the state of the object. Example : public override bool Equals(object... | All the answers so far seem mostly fine to me. However, you should carefully consider what you want equality to mean in an inheritance hierarchy. Can an instance of just SalesPerson be equal to an instance of SalesManager (which would derive from SalesPerson )? The trouble is, the symmetric nature of equals gets in the... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/1387074', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/160677/']} | jdg_91151 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 49073252 |
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 display only the row where the text contains the word like * AV * e.g 'AV Snow' or 'AV (Some)' or 'Me AV' # Select Structural status = 'AVAILABLE' or like *AV*value... | Here is one way. Solution import pandas as pddf = pd.DataFrame({'A': ['AV', 'AV Snow', 'Test', 'AV (Some)', 'Nothing', 'Me AV', 'Available', 'NA']})df = df[df['A'].str.contains('AV', regex=False, case=False, na=False)] Result A0 AV1 AV Snow3 AV (Some)5 Me AV6 Available Explanat... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/49073252', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/7778286/']} | jdg_382160 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 47019 |
Below is a question asked on the forum mathematica.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
I have a list of the form: lstA = { { {"a","b"}, -1.5}, { {"c","d"}, -2 } } I wanto to add another value to each sublist that comes fr... | The most efficient approach uses (new in ver.6 ) ArrayFlatten : ArrayFlatten[{{lstA, Transpose[{lstB}]}}] {{{"a", "b"}, -1.5, -5}, {{"c", "d"}, -2, -10}} Instead of threading Append which is not very efficient, another much faster way would use also Transpose twice and Append only once: Transpose @ Append[ Transpose @... | {} | {'log_upvote_score': 4, 'links': ['https://mathematica.stackexchange.com/questions/47019', 'https://mathematica.stackexchange.com', 'https://mathematica.stackexchange.com/users/6529/']} | jdg_182241 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 20000726 |
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.
Question:
Here is my Pandas data frame: prices = pandas.DataFrame([1035.23, 1032.47, 1011.78, 1010.59, 1016.03, 1007.95, 1022.75, 1021.52, 1026.11, 1027.04, 1030.58, 1030... | Because operations will do alignment on index, you can convert one of the DataFrames to array: prices[:-1].values / prices[1:] - 1 or prices[:-1] / prices[1:].values - 1 depends on what the index of the result you want. or use shift() method: prices.shift(1) / prices - 1 and: prices / prices.shift(1) - 1 | {} | {'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/20000726', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2598876/']} | jdg_286055 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 35988815 |
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 get the 'dayClick' function to work on FullCalendar, but when I press on any empty day, nothing happens. I have searched all over SO and cannot find any soluti... | Only relevant for FullCalender v2: I found that on my calendar the div with the class fc-bg was hidden by using display:none; . It turns out that this is what the dayClick event is attached to, and since it was hidden, I could not click on it. The reason why the fc-bg class had been hidden was because of a print CSS th... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/35988815', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5025993/']} | jdg_176122 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 10211096 |
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 programming a benchmark tool, that reads a bunch of variables from a local server in a thread. int countReads = 1000; Int64 count = 0; for (int i =... | Stop using Invoke to transfer progress information to the UI thread. Publish the progress information to a shared data structure or variable and have the UI thread poll for it using a timer on a reasonable interval. I know it seems like we have all been brainwashed into thinking Invoke is the be-all method for doing wo... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/10211096', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/863632/']} | jdg_207532 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1040817 |
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 getting some XML back from an AJAX call (no surprise) and I want to do something but only on certain nodes and something else on the rest. For example <xml> <node name=... | Use an attribute filter, in particular the attributeEquals filter : $("node[name='x']"); To select all the other nodes, use the attributeNotEquals filter : $("node[name!='x']"); You can then apply jQuery manipulations to move these nodes elsewhere. Note that XPath-style selectors where deprecated in version 1.2, and ha... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/1040817', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/62544/']} | jdg_291946 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 1720872 |
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.
Question:
Why is: $$\lim_{n\to\infty}n \arctan\left(\frac{x}{n}\right) = x$$ Wolfram Alpha provides a power series expansion formula which justifies this, but why can't we say the... | Try l'Hospital: $$\lim_{t\to\infty}t\arctan\frac xt=\lim_{t\to\infty}\frac{\arctan\frac xt}{\frac1t}\stackrel{\text{l'H}}=\lim_{t\to\infty}\frac{-\frac x{t^2}\frac1{1+\frac{x^2}{t^2}}}{-\frac1{t^2}}=\lim_{t\to\infty}\,x\frac{t^2}{x^2+t^2}=x$$ and thus the limit is not zero but $\;x\;$ | {} | {'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/1720872', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/327284/']} | jdg_367751 | PrimeIntellect/stackexchange-question-answering |
stackexchange | llm_judgeable_groundtruth_similarity | 17232723 |
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 include multiple class files and .Jar files in class path , i am on linux .. and want to integrate lucene packages downloaded with my code , all libraries and class f... | try TestName rule public class TestCaseExample { @Rule public TestName testName = new TestName(); @Before public void setUp() { Method m = TestCaseExample.class.getMethod(testName.getMethodName()); ... } ... | {} | {'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/17232723', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1771260/']} | jdg_371921 | PrimeIntellect/stackexchange-question-answering |
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