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
345113
Below is a question asked on the forum serverfault.com. Provide a good and informational response to it like a helpful human would. Question: I'm learning chef and having problems structuring everything to work with my team. For starters, it seems that you should create a chef-repo folder, where you will store and mo...
I work with multiple projects, so cjc's solution won't work for me. There's also an issue of common vs custom configuration (addresses etc are common to the company, there's also a bit of magic in the configs). The scheme I finally settled on is a bit of a hack, but it's a convenient-to-use one. Instead of global ~/.ch...
{}
{'log_upvote_score': 5, 'links': ['https://serverfault.com/questions/345113', 'https://serverfault.com', 'https://serverfault.com/users/18989/']}
jdg_298795
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
11654353
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Specifically, how to Setup APScheduler in a Django project Start running Write to Django ORM Now provide the response and nothing else.
Well, I'll have a go. Assuming you have installed apscheduler (or put it in your Python path) The basic documentation for APS lists the following code for starting up a job: from apscheduler.scheduler import Schedulersched = Scheduler()@sched.interval_schedule(hours=3)def some_job(): print "Decorated job"sched.confi...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/11654353', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/242682/']}
jdg_237380
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
6168260
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 there is one thing I just cant get my head around, it's regex. So after a lot of searching I finally found this one that suits my needs: function get_domain_name() { ...
EDIT (2020): In modern browsers, you can use the built-in URL Web API. https://developer.mozilla.org/en-US/docs/Web/API/URL/URL var url = new URL("http://www.somesite.se/blah/sdgsdgsdgs");var pathname = url.pathname; // returns /blah/sdgsdgsdgs Instead of relying on a potentially unreliable* regex, you should instead u...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/6168260', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/604843/']}
jdg_351489
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
411477
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I was experimenting in Wolfram Alpha the answer to the equation $\int_0^k x^x dx=1$ And I got about 1.19... But, What is this number k (and could you calculate it to mor...
Using the Newton-iteration I computed this to about 200 digits using Pari/GP with 200 digits float-precision. The formula to be iterated, say, 10 to 20 times, goes$$ x_{m+1} = x_m - { \int_0^{x_m} t^t dt - 1 \over x_m^{x_m} } \qquad \qquad \text{initializing } x_0=1$$This gives $x_{20} \sim 1.1949070080264606819835589...
{}
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jdg_348079
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
24310201
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 try to configure my phpStorm for debugging according to this tutorial . My entire project is located in C:\work\Projects\xampp\htdocs\myCode In the phpStorm I did to follow...
The first thing is that in your php.ini it seems you don't have xdebug installed. So first thing is you should go to Xdebug installation guide and paste here your php.ini file so you will get detailed instructions how to install it. If you install it correctly you should have something like below in your php.ini file: ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/24310201', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/831294/']}
jdg_203008
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
20862728
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Is there any way to consistently detect PhantomJS/CasperJS? I've been dealing with a spat of malicious spambots built with it and have been able to mostly block them based on...
I very much share your take on CAPTCHA. I'll list what I have been able to detect so far, for my own detection script, with similar goals. It's only partial, as they are many more headless browsers . Fairly safe to use exposed window properties to detect/assume those particular headless browser: window._phantom (or win...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/20862728', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3150134/']}
jdg_266935
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
128675
Below is a question asked on the forum security.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I am required to submit personal information as part of a form. I looked under developer tools and found this:[![screenshot of item displayed in developer tools][1]]...
Danger Will Robinson, Danger! The form on the site is not secure , and any data sent through that form will be in plain text. This means anyone listening to this communication will have a plain text copy of any data sent to that address. If you don't know what data is sent there then you can't know if it's safe. Withou...
{}
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jdg_220047
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
57819
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: what is the best available approximation ( say up to 10 digits ) for LambertW(x) or exp(LambertW(x)) for x > 2000 Now provide the response and nothing else.
Extended answer The approximation described below is original, explicit (in some sense), and very accurate.It is closely related to this question (second paragraph). So, you want to approximate the solution $W(x)$ of $x=W(x)e^{W(x)}$, for large $x$ (the order of $x$ does not play a very significant role in what follows...
{}
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jdg_181006
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
68220
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: Let $A\subset\mathbb{Z}/n\mathbb{Z}$ such that: $|A|>n^{d}$ ($0< d <1$). Let $C=\{(x,y,2y-x)\in A\times A \times A\}$ be the set of $3$-term arithmetic progressions within $A$...
With your corrected question you are asking, in a strange way, for the number of arithmetic progressions of length 3 in A. There is a well-known example of Behrend of a set of size $n/\exp(c\sqrt{\log n})$ that contains no non-degenerate APs of length 3. So the answer to your question is no. Edit: now that you have rep...
{}
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jdg_214866
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
27988776
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 Bootstrap Accordion. I want all the panel closed by default, but my panels are start expanded. Here's my code : <div class="panel-group" id="accordion" role="tablis...
This line here seems to be the culprit: <div id="collapse${proposal.propID}" class="panel-collapse collapse in" ... If you get rid of in in the class, it should work as you have it structured. Take a look at this example to see the difference between the two panels: <link href="//maxcdn.bootstrapcdn.com/bootstrap/3.3.1...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/27988776', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4422692/']}
jdg_265426
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
18666601
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Using Bootstrap 3, how can I place the dropdown menu at the cursor and open it from code? I need to use it on a table as a context menu for its rows. Now provide the respons...
It is possible. I made you a working demo to give a good start. Working demo (Right click on any table row to see it in action) First create your dropdown menu, hide it and change its position to absolute : #contextMenu { position: absolute; display:none;} Then bind a contextmenu event to your table rows so it shows ...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/18666601', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/469230/']}
jdg_246152
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
11423801
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I am using the HMVC pattern in CodeIgniter. I have a controller that loads 2 modules via modules::run() function and a parameter is passed to each module. If either module ca...
You could throw an exception if there was an error in a submodule and catch this in your controller where you would do show_404() then. Controller: function profile($username){ try{ $out = modules::run('user/details', $username); $out .= modules::run('user/friends', $username); echo $out; } ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/11423801', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/922522/']}
jdg_241094
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
251471
Below is a question asked on the forum serverfault.com. Provide a good and informational response to it like a helpful human would. Question: I have a server with 8TB data, and a tape with high numbered 400GB tape cartridges.What would be the best solution to backup this server with the least effort ? I think after o...
Don't try and do it yourself. You should be using a program such as amanda or bacula to manage your backups. Use amanda when you don't have a tape library. Use bacula when you have a tape library available. mini rant follows Sure, just using dump or tar works and is simple. How easy is it to restore a certain file from...
{}
{'log_upvote_score': 4, 'links': ['https://serverfault.com/questions/251471', 'https://serverfault.com', 'https://serverfault.com/users/74590/']}
jdg_170163
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
10147293
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 display a Windows Metafile (EMF) using WPF, how can I do? Edit: I'd to keep the image vector-based. Now provide the response and nothing else.
Take a look at the 3rd party library Ab2d.ReadWmf . Update #1: Overview First off, this post states that Microsoft does not intend support EMF files in WPF. That doesn't mean it can't be done, just that they will not support them. Looking at the Wikipedia page about the WMF/EMF format I see that it describes EMF as: Es...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/10147293', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/995246/']}
jdg_145712
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1357860
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: This is an old preliminary exam problem: Show that, for every nonnegative Lebesgue integrable function $f:[0,1]\rightarrow \mathbb{R}$ and every $\epsilon>0$ there exist...
Any integrable $f:[0,1] \to R$ can be approximated by a continuous function $f_\epsilon$ on $[0,1]$ up to $\epsilon$ in $L^1$. With this, the fix to your argument is to use the triangle inequality: $$\left| \int_A f dx \right| \leq \left| \int_A (f-f_\epsilon) dx \right| + \left| \int_A f_\epsilon dx \right| \leq \epsi...
{}
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jdg_88245
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
21411
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Let $A$, $B$, and $C$ be nonempty sets. I need to find conditions to guarantee that there is an injective function from $B^A$, the set of all functions from $A$ to $B$, ...
First, define your mapping from $B^A$ to $(C^B)^{C^A}$: we're essentially forced in our definition. Namely, given $f:A\to B$ and $g:B\to C$ we need to produce a function $A\to C$ but this clearly must be given by $g \circ f$. (That's the only way to get domain and co-domain to match up correctly.) In other words, we...
{}
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jdg_248064
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
56905592
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 photographing a sheet of paper (e.g. with phone camera), I get the following result (left image) (jpg download here ). The desired result (processed manually with an ima...
Contrast and brightness can be adjusted using alpha ( α ) and beta ( β ), respectively. These variables are often called the gain and bias parameters. The expression can be written as OpenCV already implements this as cv2.convertScaleAbs() so we can just use this function with user defined alpha and beta values. import...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/56905592', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1422096/']}
jdg_79542
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
375489
Below is a question asked on the forum softwareengineering.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: My team is going to be using Visual Studio Team Services for an upcoming project. The Agile tools let me organize User Stories and Tasks hierarchically li...
I shouldn't write a "Generate UI and DB" Task for each User Story. That's too much redundancy. But I don't know how to write a "Generate UI and DB" task that must be completed before any of the User Stories can be started. You don't . You write your user stories as high-level user needs - you've gotten that far. Then y...
{}
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jdg_208873
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2955968
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: When we consider a vector space $V$ over some field $F$ , I know that when the $F=\mathbb{R}$ or $ =\mathbb{C}$ , by setting $\|x\|=\left\langle{x,x}\right\rangle^\frac{...
An ordered field where $a^2+b^2$ is always a square is called a Pythagorean field . As you observe, not every ordered field is Pythagorean, but eachordered field has a Pythagorean extension. If you really want $L^2$ -normsyou could always extend your ground field to a Pythagorean extension field.
{}
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jdg_85453
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
52587999
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 wish to stub a function used in the file I'm currently testing. This function is required with a destructuring like this: const { theFunctionIWant } = require('path/to/modu...
The reason stubbing the method of the module doesn't work when using destructuring from a dependant module is quite simple and has to do with the time you bind the actual function reference. It doesn't have anything to do with CommonJS modules, Sinon or Node per se, so I'll start out with simple javascript examples. co...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/52587999', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/10440172/']}
jdg_110593
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
12020048
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 Java's switch statement work under the hood? How does it compare the value of the variable being used, to those given in the case parts? Does it use == or .equals() ...
Neither. it uses the lookupswitch JVM instruction, which is essentially a table lookup. Take a look at the bytecode of the following example: public static void main(String... args) { switch (1) { case 1: break; case 2: break; }}public static void main(java.lang.String[]); Code: Stack=1, Locals=1, Args_siz...
{}
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jdg_190737
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
158089
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I am looking for a small treatment of basic theorems about infinite products ; surprisingly enough they are nowhere to be found after googling a little. The reason for t...
I will answer your question "Most importantly I'd like to know why$$\prod (1+|a_n|) \to a < \infty \quad \Longrightarrow \quad \prod (1+ a_n) \to b \neq 0."$$ We will first prove that if $\sum \lvert a_n \rvert < \infty$, then the product $\prod_{n=1}^{\infty} (1+a_n)$ converges. Note that the condition you have $\p...
{}
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jdg_371754
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
289158
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I was reading about the Cauchy–Schwarz inequality from Courant, Hilbert - Methods Of Mathematical Physics Vol 1 and I can not understand what they mean when they said th...
Hint: The quadratic equation $ax^2+bx+c=0$ has real roots if and only if $b^2-4ac\ge 0$. Added: The quadratic polynomial $\sum_1^n (a_ix+b_i)^2$ is a sum of squares. Thus this polynomial is always $\ge 0$. Recall that a quadratic $ax^2+bx+c$, where $a\gt 0$, is always $\ge 0$ if and only if the discriminant $b^2-4ac$ i...
{}
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jdg_87729
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
12147986
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 looking for a way to extract the AuthorityKeyIdentifier extension from an X509Certificate2 instance. I did not see any built-in support for this but since windows can p...
Iterate through the extensions in the X509Certificate2.Extensions property and look for an extension with the OID 2.5.29.35 (as per http://www.alvestrand.no/objectid/2.5.29.35.html ). That is the AuthorityKeyIdentifier extension. [Edit: Added the following.] Each member of the Extensions property is an ASN encoded. So ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/12147986', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/369495/']}
jdg_363773
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
40175
Below is a question asked on the forum biology.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I have some understanding of how PCR testing works. What I have always been wondering: how can we be sure that a primer reacts with the targeted gene(s) regardless of...
There are many methods of DNA isolation, so it is difficult to make broad statements about all situations. Typically, though, during the DNA isolation protocol, essentially all proteins are denatured and removed, as is RNA, cell membrane components, extracellular matrix, etc. If you are using a high-quality well-valida...
{}
{'log_upvote_score': 4, 'links': ['https://biology.stackexchange.com/questions/40175', 'https://biology.stackexchange.com', 'https://biology.stackexchange.com/users/19770/']}
jdg_145618
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
12603397
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I need to calculate the width and the height of the selected/highlighted text using JavaScript. I am using the following code written by Tim Down, as the starting point, func...
Here's some code to get the dimensions of the selection's bounding rectangle. It's pretty similar to the original code. Demo: http://jsfiddle.net/UFkjy/ function getSelectionDimensions() { var sel = document.selection, range; var width = 0, height = 0; if (sel) { if (sel.type != "Control") { ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/12603397', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/903446/']}
jdg_74544
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
128170
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: Hi I've created a script to setup Nagios on my remote servers. My script checks iptables to see if a firewall rule already exists and then is supposed to add the rule i...
Here is awk solution: $ awk ' $4 < 1.5 { uniq[$1] = $3; uniq[$2] = $3; next; } { uniq[$1] = $3; dup[$2] = $3; delete uniq[$2]; } END { print "--unique.txt--"; for(i in uniq) { print i,uniq[i] } print ""; print "--duplicate.txt--"; for(i in dup) { prin...
{}
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jdg_169001
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3074978
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Let $R$ and $S$ be fields. Consider the ring $R \times S$ . Since $R$ (resp. $S$ ) is a field, the ideals of $R$ (resp. $S$ ) are $\{0_R\}$ and $R$ (resp. $\{0_S\}$ and ...
Your example is correct. More generally, ideals in an arbitrary product $R=\prod_{i\in J} R_i$ of fields correspond to what are called (Boolean) ideals (of sets) on the index set $J$ . An ideal on a set $J$ is a collection $D$ of subsets of $J$ with the following properties: $\emptyset\in D$ . If $A,B\in D$ then $A\c...
{}
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jdg_271051
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
17665487
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 following this: http://docs.angularjs.org/api/ng.filter:currency When I type 1234.56 in the field then the output should be $1,234.56. But if I type in the input 1234 th...
Add a new filter: 'use strict';angular .module('myApp') .filter('myCurrency', ['$filter', function($filter) { return function(input) { input = parseFloat(input); input = input.toFixed(input % 1 === 0 ? 0 : 2); return '$' + input.toString().replace(/\B(?=(\d{3})+(?!\d))/g, '...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/17665487', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/788322/']}
jdg_153409
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1612267
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I was wondering if it is possible to move all rows of data from one table to another, that match a certain query? For example, I need to move all table rows from Table1 to Ta...
Should be possible using two statements within one transaction, an insert and a delete: BEGIN TRANSACTION;INSERT INTO Table2 (<columns>)SELECT <columns>FROM Table1WHERE <condition>;DELETE FROM Table1WHERE <condition>;COMMIT; This is the simplest form. If you have to worry about new matching records being inserted into ...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/1612267', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/138630/']}
jdg_360749
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2360380
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: The following is a qual question that I do not know how to proceed. Let $f_n=\chi_{[n,n+10]}$. Does $f_n\rightarrow 0$ weakly in $L^4(\mathbb{R})$? My attempt: I want to...
Parentheses can be tricky It is important how you set the parentheses! I think you mean: $$x^{\Big( x^{\big(x^{({{{\dots}}})}\big)} \Big)} = 2.$$ So according to these parentheses you get $$\ln\left(\color{red}{x}^{\color{blue}{\Big( x^{\big(x^{({{{\dots}}})}\big)} \Big)}}\right) = \ln(2 )$$ Now by applying the rule $\...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/2360380', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/452074/']}
jdg_195456
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2054945
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Solvable quintic trinomials $$x^5+ax+b=0$$ have been completely parameterized. Finding $6$ th-deg versions is relatively easy to do such as, $$x^6+3x+3=0$$ which factors...
Using brute force approach I have found few others, such as $$x^8+9x+9$$ $$x^8+75x+150$$ which factors over $\sqrt{-3}$ and $\sqrt{-15}$ , respectively. See https://sites.google.com/site/klajok/polynomials/x8-ax-b0 $\color{green}{Added:}$ Given pairs of rational numbers $\left(\alpha,\beta\right)$ such that $2\alpha^2+...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/2054945', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/4781/']}
jdg_121371
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1074252
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Solve $$(2x^3y)\:\text{dy}+(1-y^2)(x^2y^2+y^2-1)\:\text{dx}=0$$ I tried the substitution $y^2=t$ ; $2y\:\text{dy}=\text{dt}$ to get $$(x^3)\:\text{dt}+(1-t)[(x^2+1)t-1]\...
since$$2x^3yy'+(1-y^2)(x^2y^2+y^2-1)=0$$then we have$$2x^3yy'=(y^2-1)^2+(y^2-1)x^2y^2=(y^2-1)^2+(y^2-1)x^2(y^2-1)+x^2(y^2-1)$$so$$x^3(y^2-1)'=(y^2-1)^2+(y^2-1)^2x^2+x^2(y^2-1)$$let$y^2-1=u$,then we have$$\dfrac{du}{dx}=\left(\dfrac{1}{x}+\dfrac{1}{x^3}\right)u^2+\dfrac{u}{x}$$this is Bernoulli equation$$-\dfrac{d(1/u)}...
{}
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jdg_215455
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
56410369
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Can I call another separate function in useEffect? I am calling another function in useEffect but after saving the file it is automatically adding that function in array para...
Since you declare the getData function inside your React component it will be re-created on each render and thus the dependencies of your effect change on each render. This is the reason why the effect is executed on each render. To prevent this you should declare the getData function outside of the component and then ...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/56410369', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/9264220/']}
jdg_294235
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
15403220
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 Chosen Multiple Select What I want to do is that if user selects any option I want that value and then I will do some functionality depending on that value. In chos...
The Chosen documentation mentions parameters for getting the most recently changed variables. Chosen triggers the standard DOM event whenever a selection is made (it also sends a selected or deselected parameter that tells you which option was changed). So, if you just want the most recent option selected or desele...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/15403220', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1428345/']}
jdg_360718
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
583283
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: My question is related to [1] , [2] and [3] . Assume we estimate a multiple regression, $$ y = a + b_1x_1 + b_2x_2 + u $$ and are mainly interested in the value of $\ha...
By the Frisch–Waugh(–Lovell) theorem and the well-know formula $\left(X^{\top}X \right)^{-1}X^{\top}y$ for the OLS estimator we have $$\begin{align}\hat{b}_{1; \text{model 1}}&=\left( \left(M_{2}x_1 \right)^{\top}M_{2}x_1 \right)^{-1} \left(M_{2}x_1 \right)^{\top}M_{2}y=\left( x_1^{\top}M_{2}x_1 \right)^{-1} x_1^{\top}...
{}
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jdg_244911
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
210408
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I know the embedding theorems that allow you to embed $n$-manifolds into $\mathbb{R}^k$, provided $k$ is chosen large enough. Here I'm interested in the possibility of t...
Here's an alternate proof which doesn't use invariance of domain. It also gives a slightly stronger result. Theorem : Let $M^n$ be compact without boundary. Then there is no immersion $f:M\rightarrow \mathbb{R}^n$. Proof : (sketch). Assume for a contradiction there is such an $f$. Since $M$ is compact, $f$ is a clo...
{}
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jdg_225660
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
22633665
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 printing progress of many iterations of a computation and the output is actually the slowest part of it, but only if I use Visual C++ compiler, MinGW works fine on the s...
std::cout in MSVC is slow ( https://web.archive.org/web/20170329163751/https://connect.microsoft.com/VisualStudio/feedback/details/642876/std-wcout-is-ten-times-slower-than-wprintf-performance-bug-in-c-library ). It is an unfortunate consequence of how our C and C++ Standard Library implementations are designed. The p...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/22633665', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1678022/']}
jdg_320834
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3346006
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: Diagonalization of a square matrix $A$ consists in finding matrices $P$ and $D$ such that $A=PD P^{-1}$ where $P$ is a matrix composed of the eigenvectors of $A$ , $D$ i...
As $P^{-1}$ usually isn't equal to $P$ , we don't usually have $PDP^{-1} = P^{-1}DP$ . And thus we usally don't have $A = P^{-1}DP$ if $P$ is the matrix consisting of eigenvectors of $A$ . However, if we set $Q = P^{-1}$ , then we do have $A = PDP^{-1} = Q^{-1}DQ$ . So in some sense, we could've done diagonalisation th...
{}
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jdg_174520
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
7651912
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have the following basic layout <LinearLayout xmlns:android="http://schemas.android.com/apk/res/android" android:orientation="vertical" android:layout_width="fill_...
What's happening is that since the the TextView is filling the whole width of the inner LinearLayout it is already in the horizontal center of the layout . When you use android:layout_gravity it places the widget, as a whole, in the gravity specified. Instead of placing the whole widget center what you're really trying...
{}
{'log_upvote_score': 9, 'links': ['https://Stackoverflow.com/questions/7651912', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/172350/']}
jdg_147449
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
31784117
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Im Trying to get the first element with the tag <figure> using the getElementByTagName().firstChild[0].innerHTML but I run into some problems when adding it to the content, i...
Two issues with the code you've quoted: content.getElementByTagName('figure').firstChild[0].innerHTML// Missing s -----^ ^^^^^^^^^^^^^^--- there is no firstChild on the return value So in theory it could be content.getElementsByTagName('figure')[0].innerHTML ...but that gets a list and then takes the f...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/31784117', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3602750/']}
jdg_275214
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1002779
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I would like a proof that $$ \lim\limits_{ n\to \infty }\prod_{i=1}^n\frac{2i-1}{2i}= 0 $$ It seems reasonable, although the terms approach $1$ Thank you in advance No...
$$\prod_{n=1}^{N}\left(1-\frac{1}{2n}\right)=\exp\sum_{n=1}^{N}\log\left(1-\frac{1}{2n}\right)\leq\exp\left(-\frac{H_N}{2}\right)\leq\frac{1}{\sqrt{N+1}}.$$
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/1002779', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/33907/']}
jdg_164064
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
21825393
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Is there any way to use pipe within an -exec in find? I don't want grep to go through whole file, but only through first line of each file. find /path/to/dir -type f -print -...
In order to be able to use a pipe, you need to execute a shell command, i.e. the command with the pipeline has to be a single command for -exec . find /path/to/dir -type f -print -exec sh -c "cat {} | head -1 | grep yourstring" \; Note that the above is a Useless Use of Cat , that could be written as: find /path/to/dir...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/21825393', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3019115/']}
jdg_297777
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
51143365
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have a JUnit test using Assumption to skip the test if the developer's computer doesn't have the pre-requisite software for running it. Despite being "junit", it's an integ...
Since they are easy to test for and passed to every program that gets executed by the build, I opted to base the check on environment variables. Though rohit answer shows one way of setting variables on Jenkinsfile, I'd rather rely on things that Jenkins itself does, so I checked the environment variables set on my Jen...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/51143365', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/53013/']}
jdg_214769
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
677760
Below is a question asked on the forum physics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Let's say we have a car moving on the horizontal ground with a velocity of $10 \hat{i} \frac{m}{s}$ . A person inside throws a ball vertically upward with a velocity ...
The car, the person throwing the ball, and the ball --- these three constitute a whole system as long as they are moving together. And when is that? When the person sits on the car and keeps the ball in his hand, the three move together with the same velocity.Now as soon as the person throws the ball, he no longer has ...
{}
{'log_upvote_score': 4, 'links': ['https://physics.stackexchange.com/questions/677760', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/273948/']}
jdg_207934
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
47206
Below is a question asked on the forum emacs.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I use mu4e . When I reply-all to an email, my own email appears in CC. I have these lines in my configuration: (setq mu4e-compose-dont-reply-to-self t)(setq message-sen...
Old question, but since it is the first thing that pops up in google (at least for me), I guess it is worth updating. The answer provided by @miguelmorin no longer works, see the manual for Writing messages, C.4.9 : You need list your personal addresses by passing one or more --my-address=... to mu init. Note that the ...
{}
{'log_upvote_score': 4, 'links': ['https://emacs.stackexchange.com/questions/47206', 'https://emacs.stackexchange.com', 'https://emacs.stackexchange.com/users/19424/']}
jdg_283633
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
84167
Below is a question asked on the forum datascience.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: While using "Two class neural network" in Azure ML, I encountered "Momentum" property. As per documentation , which is not clear, it says For The momentum, type a...
Momentum in neural networks is a variant of the stochastic gradient descent . It replaces the gradient with a momentum which is an aggregate of gradients as very well explained here . It is also the common name given to the momentum factor , as in your case. Maths The momentum factor is a coefficient that is applied to...
{}
{'log_upvote_score': 5, 'links': ['https://datascience.stackexchange.com/questions/84167', 'https://datascience.stackexchange.com', 'https://datascience.stackexchange.com/users/61445/']}
jdg_225388
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
52628649
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 insert four figures in a LaTeX document but if I use subfigure command, two of my figures stay in first row and the other two go to the second line. Like this ...
Your figures are too wide to fit side-by-side in one line. If multiple subfigures do not fit in one line, latex does an auto linebreak. You have to specify the width of each included graphic per subfigure such, that it will sum up to be smaller than the \textwidth parameter, i.e: \begin{figure} \centering \subfig...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/52628649', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/667355/']}
jdg_183828
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
19212140
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have a common view that lists two different models. The only difference is that when setting the link_to action, one of the models has a link attribute and the other doesn'...
You could use presence : = link_to @element.title, (@element.link.presence || @element) Or, if @element might not have link at all, you could use try : = link_to @element.title, (@element.try(:link) || @element)
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/19212140', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1522214/']}
jdg_367693
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4227
Below is a question asked on the forum cstheory.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Let $G=(V,E)$ be a graph. For a vertex $x\in V$, define $N(x)$ to be the (open) neighbourhood of $x$ in $G$. That is, $N(x)=\{y\in V \,\vert\, \{x,y\}\in E\}$. Defin...
Twins in a graph are just modules of size 2. The modular decomposition of a graph can be found in $O(n+m)$ time. The modular decomposition tree implicitly represents all modules of the graph and consists of three types of internal nodes: series, parallel and prime nodes, and the leaves consists of the individual nodes....
{}
{'log_upvote_score': 5, 'links': ['https://cstheory.stackexchange.com/questions/4227', 'https://cstheory.stackexchange.com', 'https://cstheory.stackexchange.com/users/148/']}
jdg_195212
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
14416522
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I'm writing a program that counts all lines, words and characters from a file given as input. import stringdef main(): print "Program determines the number of lines, words...
You can just use len(data) for the character length. You can split data by lines using the .splitlines() method, and length of that result is the number of lines. But, a better approach would be to read the file line by line: chars = words = lines = 0with open(file_name, 'r') as in_file: for line in in_file: ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/14416522', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1958583/']}
jdg_111684
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
164436
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: This is probably a silly one, I've read in Wikipedia about power law and exponential decay . I really don't see any difference between them. For example, if I have a his...
$$\begin{array}{rl}\text{power law:} & y = x^{(\text{constant})}\\\text{exponential:} & y = (\text{constant})^x\end{array}$$ That's the difference. As for "looking the same", they're pretty different: Both are positive and go asymptotically to $0$, but with, for example $y=(1/2)^x$, the value of $y$ actually cuts in ha...
{}
{'log_upvote_score': 6, 'links': ['https://math.stackexchange.com/questions/164436', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/19821/']}
jdg_358370
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
60575
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 new to Wolfram Mathematica so the the question may seem quite simple. I define the following function: d[i_, j_] := Sum[α^(i + j - 2 k) (-1)^(-k) Sqrt[i!] Sq...
Although it is best to avoid this when possible, using the undocumented function Internal`InheritedBlock you can temporarily add a rule to Power : α = 0;d[i_, j_] := Internal`InheritedBlock[{Power}, Unprotect[Power]; Power[0, 0] = 1; Sum[α^(i + j - 2 k) (-1)^(-k) Sqrt[i!] Sqrt[j!]/((i - k)! (j - k)! k!), {k, 0, ...
{}
{'log_upvote_score': 4, 'links': ['https://mathematica.stackexchange.com/questions/60575', 'https://mathematica.stackexchange.com', 'https://mathematica.stackexchange.com/users/20003/']}
jdg_86146
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
14947821
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 calling strdup and have to allocate space for the variable before calling strdup . char *variable;variable = (char*) malloc(sizeof(char*));variable = strdup(word); Am I ...
If you're using the POSIX standard strdup() , it calculates the space needed and allocates it and copies the source string into the newly allocated space. You don't need to do a malloc() yourself; indeed, it immediately leaks if you do it since you overwrite the only pointer to the space you allocated with the pointe...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/14947821', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2085247/']}
jdg_311722
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
62143
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I am trying to prove that the DLO $(\mathbb{Q}, <)$ is an $O$-minimal structure, but I am trying to prove this without using the fact that the complete theory of dense l...
Edit: In the original version I very carelessly used $\frac{y}{x}$ and $\frac{x}{y}$ for the multipliers, when of course they have to be $\frac{y-a_j}{x-a_j}$ and $\frac{a_{j+1}-y}{a_{j+1}-x}$. Barring further stupidity on my part, it’s now fixed. You want to stretch the interval $[a_j,x]$ to cover the interval $[a_j,y...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/62143', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/14850/']}
jdg_88748
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
40320585
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 following this Manipulating matrix elements in tensorflow . using tf.scatter_update. But my problem is: What happens if my tf.Variable is 2D? Let's say: a = tf.Variable(...
In tensorflow you cannot update a Tensor but you can update a Variable. The scatter_update operator can update only the first dimension of the variable.You have to pass always a reference tensor to the scatter update ( a instead of a[line] ). This is how you can update the first element of the variable: import tensorfl...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/40320585', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/6805576/']}
jdg_357513
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3101719
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 echo a variable from the function? This is an example code. function test() { $foo = 'foo'; //the variable}test(); //executing the functionecho $foo; // no resu...
The immediate answer to your question would be to import $foo into the function's scope: function test() { global $foo; $foo = 'foo'; //the variable} More on variable scope in PHP here . this is, however, bad practice in most cases. You will usually want to return the desired value from the function, and assign it ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/3101719', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/242839/']}
jdg_325865
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
14548057
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 draw two strokes (one after another) for ListView divider? I've tried the following drawable, but it only shows the first stroke: <?xml version="1.0" encodi...
Yes, it is possible. If you want to create it with shape drawables, you have to do it differently. A shape drawable can contain just one shape, one line in your case. You can combine two shapes in layer list drawable . Drawable in the layer list are drawn one above another, the last one at the top. To create two lines ...
{}
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jdg_179450
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
100785
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 apologize if this question has been done to death, but as a non-statistician I really don't know what is the bottom line takeaway. I am looking at a sample of 30,000 ...
Statistical insignificance does not mean that the effect being tested for does not exist, but rather, that the data that was observed does not furnish strong evidence for the existence of that effect. For example, if you have an unloaded six-sided die, but the numbers on its faces are {1,2,3,4,5,5} instead of {1,2,3,4,...
{}
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jdg_303815
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
80535
Below is a question asked on the forum arduino.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I'm working on a project that uses quite a bit of RAM to store and analyze data that is sent from the PC. The program heavily relies on malloc / free , which normally...
Why This is a partial answer, for now, mostly with regard to: Why does malloc() never return NULL? So, the Due appears to use Newlib as its libc implementation; that is the systems C (standard and some non-standard) runtime that includes malloc() , or the greater part of malloc() anyway. The Newlib malloc() relies on ...
{}
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jdg_276780
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
7037093
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 successfully finished an Android project's implementation and started to test the app for memory leaks. Sometimes, I get DeadObjectException after a long trip in the a...
This is not a memory leak problem. Definition of the memory leak (from Wikipedia): A memory leak, in computer science (or leakage, in this context), occurs when a computer program acquires memory but fails to release it back to the operating system. Here, you have an opposite case - memory is freed before it should (...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/7037093', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/577538/']}
jdg_194925
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
177113
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: Atomic clocks use cesium-beam frequency to determine the length of a second. This has shown that the period of orbit of the earth is decreasing. But what experiment s...
The frequency is determined by the energy spacing between two configurations of the caesium atom. Caesium has a single electron in the outermost $6s$ orbital, and this electron can be aligned with or against the nuclear spin. These two configurations differ in energy by about 0.000038 eV, and transitions between them p...
{}
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jdg_259684
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
39092925
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 Golang, we use structs with receiver methods. everything is perfect up to here. I'm not sure what interfaces are, however. We define methods in structs and if we want to i...
Interfaces are too big of a topic to give an all-depth answer here, but some things to make their use clear. Interfaces are a tool . Whether you use them or not is up to you, but they can make code clearer, shorter, more readable, and they can provide a nice API between packages, or clients (users) and servers (provide...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/39092925', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3553432/']}
jdg_152077
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
27753917
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have a problem regarding changing the Execution Policy in my Windows Server 2008+ OS. It is the first time I try to run a script for which I need resource full access and I...
The error message indicates that the setting you're trying to define via Set-ExecutionPolicy is overridden by a setting in another scope. Use Get-ExecutionPolicy -List to see which scope has which setting. PS C:\> Get-ExecutionPolicy -List Scope ExecutionPolicy ----- ---------------MachinePolicy U...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/27753917', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/519836/']}
jdg_188710
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
26867795
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I am using Font Awesome and do not wish to add CSS with HTTP. I downloaded Font Awesome and included it in my code, yet Font Awesome is showing a bordered square box instead ...
In my case i made the following mistake in my css code. *{ font-family: 'Open Sans', sans-serif !important;} This will override all font family rules for the entire page.My solution was to move the code to body like so. body{ font-family: 'Open Sans', sans-serif;} NB: Whenever you use the !important flag in css, ...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/26867795', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2868069/']}
jdg_258853
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
27455
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Let $(f_n)_{n \geq 1}$ be disjointly supported sequence of functions in $L^\infty(0,1)$. Is the space $\overline{\mathrm{span}(f_n)}$ (the closure of linear span) comple...
The answer is no . The closed linear span of such a sequence is separable, and so if $\overline{span(f_n)}$ was complemented in $L^\infty (0, 1)$ then every Banach space isomorphic to $L^\infty (0, 1)$ would contain an infinite dimensional, separable complemented subspace. In particular, since $L^\infty (0, 1)$ is isom...
{}
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jdg_209962
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
5051753
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have a styles called Red and Green and I have an if statment to find out which to apply, but I don't know the code to actually apply a style from the java. Now provide the...
There is no one line solution to this problem, but this worked for my use case. The problem is, the 'View(context, attrs, defStyle)' constructor does not refer to an actual style, it wants an attribute. So, we will: Define an attribute Create a style that you want to use Apply a style for that attribute on our theme Cr...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/5051753', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/614460/']}
jdg_248965
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2864953
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I've recently started abstract algebra and now studying integers $\mod n$ under multiplication . I'm particularly interested in finding a group whose order is a prime nu...
There's a nice closed form for the values of the $\phi$-function: $\phi(n) = \Pi_{p | n} (p^k-p^{k-1})$, where $k$ is the highest power of $p$ that divides $n$. If $p$ is prime this evaluates to $p-1$, which for $p > 2$ is even and hence not prime. For $p^k$, $k>1$, the number $p^k - p^{k-1} = p^{k-1}(p-1)$, which also...
{}
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jdg_287644
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
18529370
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Is there a way to disable the Components Page for Upgrades? I would like to enable upgrades of my software but I don't want to allow the users to change the selection of comp...
To hide a page from user use the ShouldSkipPage event method. If you return True in this method, the page won't be shown to user. If False, the page will be displayed as usually. Here 's an example of how to check if the installation is an upgrade and if so, skip the Select Components wizard page: [Setup]AppId=B75E4823...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/18529370', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1508154/']}
jdg_297032
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
306130
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 write a decorator to do logging: def logger(myFunc): def new(*args, **keyargs): print 'Entering %s.%s' % (myFunc.im_class.__name__, myFunc.__name__) ...
Claudiu's answer is correct, but you can also cheat by getting the class name off of the self argument. This will give misleading log statements in cases of inheritance, but will tell you the class of the object whose method is being called. For example: from functools import wraps # use this to preserve function si...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/306130', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/11677/']}
jdg_81286
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
239675
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: Are there any references to study the integer solutions (existence and how many) of Diophantine equations like $a^2+b^2=c^2+d^2+2$, $a^2+b^2=c^2+d^2+3$, $a^2+b^2=c^2+d^2+5$......
This is a special case of the shifted convolution problem for modular forms. For example, see Chapter 12 of Iwaniec's book "Spectral methods for automorphic forms" (AMS Grad studies in Math 53). Theorem 12.5 there gives (for $n$ odd) $$ \sum_{m\le x} r(m) r(m+n) = 8 \Big(\sum_{d|n} d^{-1} \Big) x + O(x^{2/3} n^{1/3+...
{}
{'log_upvote_score': 4, 'links': ['https://mathoverflow.net/questions/239675', 'https://mathoverflow.net', 'https://mathoverflow.net/users/92092/']}
jdg_76108
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8231166
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 connect to pop3.live.com the connection is fine and it also shows me the amount of messages I have and the size of the file but when I try and use "RETR" to get the me...
Controller action: public ActionResult Foo(){ // Obviously DoSomething could throw but if we start // trying and catching on every single thing that could throw // our controller actions will resemble some horrible plumbing code more // than what they normally should resemble: a.k.a being slim and focus on...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/8231166', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/998989/']}
jdg_211772
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
19974444
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 in a php language . In my database there are normal image and a hover image . I know how to call it from the database but i don't know how to make class so that ...
You are attempting to retrieve an item on index 2 but this index really doesn't exist (Cursor size is 2 so indexes are 0,1). Change your loop: if (result != null && result.moveToFirst()){ do { Post post = new Post(); post.setPostId(result.getInt(0)); posts.add(post); .... } while (result.m...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/19974444', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2670939/']}
jdg_132187
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
12587728
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I'm using a WebBrowser Control and I'd like to manipulate the HTML Code before it gets displayed in the Control. For example open Website A with following content: <html> <b...
You could do the DOM manipulation inside the Navigated event: webBrowser1.Navigated += (sender, e) =>{ ((WebBrowser)sender).Document.GetElementById("Text").InnerHtml = "Bye";}; This will execute before any DOM ready handlers in the document. So for example if you had the following HTML initially: <html><head> <ti...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/12587728', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1023266/']}
jdg_355631
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
935640
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 book about Logic, which is called 'Language, Proof and Logic', by the way, there is explained that the conditional $ P \rightarrow Q $ is equivalent with $\neg P \...
Layout: To prove that $\neg P\lor Q$ is a formal consequence of $P\to Q$, start by assuming $P\to Q$ and further suppose that $\neg (\neg P\lor Q)$ holds. At this point you should prove $P\lor \neg P$ and perform $\lor$-$\text{Elim}$ on this disjunction. It's easy to find contradictions on both cases yielding $\neg \ne...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/935640', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/20282/']}
jdg_249570
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
69786
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 got my copy of Computational Aspects of Modular Forms and Galois Representations in the mail yesterday. The goal of the book is "How one can compute in polynomial time the v...
By "level $\ell$" I assume you mean "level $\Gamma_1(\ell)$". Here's a proof. By the Eichler-Shimura theorem, the system of eigenvalues associated to the modular form shows up in $H^1(SL(2,\mathbf{Z}),Symm^{k-2}(\mathbf{C}))$. Hence (by some easy commutative algebra) the mod $\ell$ reduction of the system of eigenvalue...
{}
{'log_upvote_score': 5, 'links': ['https://mathoverflow.net/questions/69786', 'https://mathoverflow.net', 'https://mathoverflow.net/users/2024/']}
jdg_164198
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
10597
Below is a question asked on the forum emacs.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Is it possible to refile a dated item into the appropriate place in a datetree? I have seen some posts that describe the use of org-archive-location but I cannot get th...
I posted a previous version of this code to answer a similar question on Stack Overflow . This version is slightly imporoved. You can select a file to refile into and if the entry has no timestamp, the current date is used. (defun org-refile-to-datetree (&optional file) "Refile a subtree to a datetree corresponding t...
{}
{'log_upvote_score': 4, 'links': ['https://emacs.stackexchange.com/questions/10597', 'https://emacs.stackexchange.com', 'https://emacs.stackexchange.com/users/5463/']}
jdg_89630
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
18239405
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Apache is logging PHP Fatal error: Call to undefined function json_decode() . After some googling, it seems this problem is a result of not having the latest version of php....
Using Ubuntu? Short answer: sudo apt-get install php7.2-json (or php7.1-json or php5-json depending on the PHP version you're running) Then of course make sure you restart Apache : sudo service apache2 restart Or if you are using PHP-FPM: sudo service php7.2-fpm restart (Or php7.1-fpm or php5-fpm ) Explanation Debian h...
{}
{'log_upvote_score': 10, 'links': ['https://Stackoverflow.com/questions/18239405', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/771665/']}
jdg_128590
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
56360426
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: i have a list with checkboxes in the table , when i click select all function , it selects all checkbox including disabled ones, i neeed to exclude the disabled checkbox . <l...
System.Text.Json now supports custom type converters in .NET 3.0 preview-7 and above. You can add converters that match on type, and use the JsonConverter attribute to use a specific converter for a property. Here's an example to convert between long and string (because javascript doesn't support 64-bit integers). publ...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/56360426', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/9956175/']}
jdg_168843
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
240901
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: Sometimes while I'm editing something I see some useless code added by other developers, probably due to habit. Editing this code will not make any differ...
Declaring values that would already have been assigned by the compiler is useless for the behaviour of the program . However, that isn't what you should be optimizing as a professional developer. Instead, you should maintain your code base in the state that best supports ongoing development . If code were only about it...
{}
{'log_upvote_score': 4, 'links': ['https://softwareengineering.stackexchange.com/questions/240901', 'https://softwareengineering.stackexchange.com', 'https://softwareengineering.stackexchange.com/users/98046/']}
jdg_332738
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
6744840
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I know it must be an easy question... I just don't know how to fix it. So (Just an example), <?xml version="1.0" encoding="utf-8"?><LinearLayout xmlns:android="http://schem...
You can use layout_weight exactly for that : <?xml version="1.0" encoding="utf-8"?><LinearLayout xmlns:android="http://schemas.android.com/apk/res/android" android:layout_height="match_parent" android:layout_width="match_parent" android:orientation="vertical"> <Button ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/6744840', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/726954/']}
jdg_348700
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
51486
Below is a question asked on the forum security.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I'm playing around with certificates and encryption on a Windows system, but either it isn't working or I don't know how it should works. When I encrypt a file its n...
Windows built-in encryption is done transparently at the filesystem level. The encryption key is stored in your account profile encrypted with your login password (this is why there's the warning when you change your password). So logging in unlocks the key, which then makes your encrypted files available. Since the en...
{}
{'log_upvote_score': 5, 'links': ['https://security.stackexchange.com/questions/51486', 'https://security.stackexchange.com', 'https://security.stackexchange.com/users/15194/']}
jdg_201385
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
5385147
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 pass data with void pointer and then cast it to (pData *) type.What am i doing wrong?gcc gives me gcc test.c error: request for member ‘filename’ in something n...
Should be printf("%s\n", ((pData *) data)->filename); -> operator has higher precedence than typecast operator. In addition to that your call to mod_struct should look as follows mod_struct((void *) data); That & you have there makes absolutely no sense. Why are you taking the address of data when data is already a poi...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/5385147', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/421316/']}
jdg_199428
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
18079195
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I was looking at AngularJs and have a question, this is my directive: myApp.directive("enter", function(){return{ restrict: 'A', scope:{}, controller: function($scop...
Try this one: myApp.directive("enter", function(){ return{ restrict: 'A', scope:{}, controller: function($scope){ $scope.logSomething=function(somevalue){ console.log(somevalue+" is logged"); } }, template: '<input type="text" ng-model="myModel">'+ '<div button>clic...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/18079195', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/379028/']}
jdg_85053
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
703754
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 IB's library, the introduction tells us that when the return key is pressed, the keyboard for UITextView will disappear. But actually the return key can only act as '\n'. ...
UITextView does not have any methods which will be called when the user hits the return key. If you want the user to be able to add only one line of text, use a UITextField . Hitting the return and hiding the keyboard for a UITextView does not follow the interface guidelines. Even then if you want to do this, implement...
{}
{'log_upvote_score': 10, 'links': ['https://Stackoverflow.com/questions/703754', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/67391/']}
jdg_113834
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1385606
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 the function $f(x) = |8x^3 − 1|$ in the set $A = [0, 1].$Prove that the function is not differentiable at $x = \frac12.$ The answer in my book is as follows: $$\li...
$$f(x) = |(2x)^3 - 1^3| = |2x - 1|\times |4x^2 + 2x + 1| =\\= 2|x - 1/2|\times|(1+x)^2 + 3x^2| = 2|x-1/2|(3x^2 + (1+x)^2)$$Since $f(1/2)=0$, you have$$\frac{f(x)-f(1/2)}{x-1/2} = 2\frac{|x-1/2|}{x-1/2}(3x^2 + (1+x)^2)$$If $x=1/2$ then $2(3x^2 + (1+x)^2) = 6$. I think now you understand why function isn't differentiable...
{}
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jdg_326266
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
31327762
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I know of these two questions about __init__.py and __main__.py : What is __init__.py for? What is __main__.py? But I don't really understand the difference between them. Or ...
__init__.py is run when you import a package into a running python program. For instance, import idlelib within a program, runs idlelib/__init__.py , which does not do anything as its only purpose is to mark the idlelib directory as a package. On the otherhand, tkinter/__init__.py contains most of the tkinter code and...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/31327762', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4865723/']}
jdg_269931
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
20770701
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 binded itemsource to Datatable for Datagrid . it shows extra columns how to remove it My code : <DataGrid Name="dataGrid" IsReadOnly="True" VerticalAlignment="Top" ...
Solution 1 : Set AutoGenerateColumns="False" and Width="*" for all Columns <DataGrid x:Name="dataGrid" IsReadOnly="True" AutoGenerateColumns="False"> <DataGrid.Columns> <DataGridTextColumn Binding="{Binding OrderId}" Header="OrderId" Width="*"/> <DataGridTextColumn Binding="{Binding ProductId}" Width="*"...
{}
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jdg_170475
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
7501646
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I want to use JGit API to retrieve the tags associated with a specific commit hash (if there is any)? Please provide code snippet for the same. Now provide the response and ...
Git object model describes tag as an object containing information about specific object ie. commit (among other things) thus it's impossible in pure git to get information you want (commit object don't have information about related tags). This should be done "backwards", take tag object and then refer to specific c...
{}
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jdg_232333
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
32309727
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 websockets and when I tried to pass a JSON with a length greater than 8192 , the websocket disconnected immediately. However JSON with length <= 8191 works fine. ...
IT is actually a value very big and probably you don't worry about it. A single frame, by RFC-6455 base framing, has a maximum size limit of 18,446,744,073,709,551,615 bytes (maximum value of a 64-bit unsigned value). Try only to make it as little as possible to handle your requirements. Because the problem is generate...
{}
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jdg_160110
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
49296
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I would seem logical that the more times an event does not happen, the more likely it is to happen, for example: If a coin is flipped and it lands on tails 10 times in a...
The Infinite Monkey Theorem (I didn't know it was a theorem!) basically says that a given finite string of text will appear with probability 1 in an infinite truly random string of text. What it means to be "truly random" is the delicate point. Anyway, in practice, you cannot produce an infinite string of text "at once...
{}
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jdg_84674
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3349521
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I've looked at Microsoft's MSDN and all around the web, but I still haven't been able to get a really good idea of what it is. Does it mean the completed program loads DLLs a...
Linking involves packaging together all of the .obj files built from your source files, as well as any .lib files you reference, into your output (eg .exe or .dll). Without incremental linking, this has to be done from scratch each time. Incremental linking links your exe/dll in a way which makes it easier for the link...
{}
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jdg_331769
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4262240
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Whilst playing around in an open source project, my attempt to ToString a DateTime object was thwarted by the compiler. When I jumped to the definition, I saw this: public Da...
This is a nullable type . Nullable types allow value types (e.g. int s and structures like DateTime) to contain null. The ? is syntactic sugar for Nullable<DateTime> since it's used so often. To call ToString() : if (timstamp.HasValue) { // i.e. is not null return timestamp.Value.ToString();}else { return ...
{}
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jdg_72261
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8534
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: Let $M$ be Riemannian manifold and $\tilde M$ be its universal cover (with induced metric).What is the upper bound for $k=\mathop{diam}\tilde M/\mathop{diam} M$ in terms of $m...
As both Anton and Greg pointed out, it is enough to look at the Cayley graph of a presented finite group $G$ with only quadratic and cubic relators and study how large $diam(G)$ can be in terms of $\vert G \vert$. Note that the property that all relators are quadratic or cubic implies that $G$ is the $1$-skeleton of a ...
{}
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jdg_161227
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
39923
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: This should be a trivial question for mathematicians but not for typical physicists. I know that the spectrum of a linear operator on a Banach space splits into the so-called ...
Eigenvectors for different eigenvalues of a self-adjoint operator are orthogonal. In a separable Hilbert space, any orthogonal set is countable. So a self-adjoint operator on separable Hilbert space has only countably many eigenvalues. (As noted, this does not mean the spectrum is countable.)
{}
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jdg_70036
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1681975
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: Any known conclusions for $\sum_{k=0}^\infty k^n x^k$ where $n$ is a nonnegative integer and $0<x<1$? If $n=0$, the sum is simply $\frac{1}{1-x}$. If $n=1$, the sum can ...
You may have a look at the following interesting reference, due to Khristo N. Boyadzhiev, which adresses your issue: A series transformation formula and related polynomials . The author proved that $$\sum_{k=0}^\infty k^n x^k=\frac1{1-x}\: \omega_n\!\left(\frac{x}{1-x}\! \right),\quad |x|<1,$$ where $\omega_n(\cdot)$ ...
{}
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jdg_245522
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
797335
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Let say that we have the following query: SELECT DISTINCT COUNT(`users_id`) FROM `users_table`; this query will return the number of the users from a table. I need to pass th...
Like this: // Changed the query - there's no need for DISTINCT// and aliased the count as "num"$data = mysql_query('SELECT COUNT(`users_id`) AS num FROM `users_table`') or die(mysql_error());// A COUNT query will always return 1 row// (unless it fails, in which case we die above)// Use fetch_assoc for a nice associativ...
{}
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jdg_308414
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
69801126
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: In C++20, we are now able to constrain the auto keyword to only be of a specific type. So if I had some code that looked like the following without any constraints: auto some...
A constraint on the deduced auto type doesn't mean it needs to be a specific type, it means it needs to be one of a set of types that satisfy the constraint. Note that a constraint and a type are not the same thing, and they're not interchangeable. e.g. a concept like std::integral constrains the deduced type to be an ...
{}
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jdg_289512
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1149635
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 rotating a view with this: CGAffineTransform rotatedTransform = CGAffineTransformRotate(CGAffineTransformIdentity, rotationValue); I have an object which I want to spin ...
The following snippet rotates a view called someView by using key-framed animation. The animation consists of 3 frames spread over 1 second, with the view rotated to 0º, 180º and 360º in the first, second and last frames respectively. Code follows: CALayer* layer = someView.layer;CAKeyframeAnimation* animation;animatio...
{}
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jdg_157487
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2696555
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I'm trying to answer this question but I'm fully stuck. I've tried to draw the diagram but it still is a mystery to me. Here is the problem: a) Prove that the $2$-$3$-$4...
In the diagram $\triangle ABC$ is a $2$-$3$-$4$ triangle, but think of it also as a generic $a$-$b$-$c$ triangle. The exterior angle bisector at $A$ meets the extension of $\overline{BC}$ at $D$; let $d:= |\overline{CD}|$. The Exterior Angle Bisector Theorem states $$\frac{|\overline{DB}|}{|\overline{DC}|} = \frac{|\ov...
{}
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jdg_143288
PrimeIntellect/stackexchange-question-answering