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10
stackexchange
llm_judgeable_groundtruth_similarity
34310878
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Though I'm not particularly advanced at any of this, I've had some past success in using urrlib2, requests and scrapy but this has me stumped. So after much searching and ban...
Assuming your actual goal is to have a concise way to initialize an array of floating point numbers and it isn't necessarily spelled float array[N] or double array[N] but rather std::array<float, N> array or std::array<double, N> array this can be done. The significance of the type of array is that std::array<T, N> can...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/34310878', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2979345/']}
jdg_382641
stackexchange
llm_judgeable_groundtruth_similarity
1002257
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 solve this question but not able to figure out how to approach it. $100^{63} \mod\ {63}$ Please help. Now provide the response and nothing else.
If $f\big(\frac{1}{2}(x+y)\big)\le \frac{1}{2}\big(f(x)+f(y)\big)$ , then $$f\Big(\frac{3}{4}x+\frac{1}{4}y\Big)=f\Big(\frac{1}{2}\Big(\frac{1}{2}(x+y)+x\Big)\Big)\le \frac{1}{2}\Big(f\Big(\frac{1}{2}(x+y)\Big)+f(x)\Big)\le \frac{3}{4}f(x)+\frac{1}{4}f(y).$$ Suitably repeating this argument, one could prove that whenev...
{}
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jdg_382642
stackexchange
llm_judgeable_groundtruth_similarity
37758
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: I was reading Programming Languages and Lambda Calculi , which defines the multi-step reduction to be the reflexive-transitive closure of the one-step reduction. (Pa...
The practical reason is that it is very convenient to include also the case "zero steps" in the definition of "many steps" (millennia of mathematical experience have taught us that it is usually a good thing to have a 0 around in our set of natural numbers). One possible technical exemplification of this (but there are...
{}
{'log_upvote_score': 4, 'links': ['https://cstheory.stackexchange.com/questions/37758', 'https://cstheory.stackexchange.com', 'https://cstheory.stackexchange.com/users/44631/']}
jdg_382643
stackexchange
llm_judgeable_groundtruth_similarity
1801878
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 come from a background where I normally create one file per class. I organize common classes under directories as well. This practice is intuitive to me and it has been pro...
Think in terms of a "logical unit of packaging" -- which may be a single class, but more often will be a set of classes that closely cooperate. Classes (or module-level functions -- don't "do Java in Python" by always using static methods when module-level functions are also available as a choice!-) can be grouped bas...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/1801878', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/82322/']}
jdg_382644
stackexchange
llm_judgeable_groundtruth_similarity
7013
Below is a question asked on the forum cs.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I am interested in self-reducibility of Graph 3-Coloralibity problem. Definition of Graph 3-Coloralibity problem. Given an undirected graph $G$ does there exists a way to ...
As Vor mentions in his comment, your reduction doesn't work, since 3-colorability doesn't accept partial assignments of colors. The problem goes even deeper, since setting the color of a single vertex doesn't make any progress in determining whether the graph is 3-colorable: indeed, the graph is 3-colorable iff there i...
{}
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jdg_382645
stackexchange
llm_judgeable_groundtruth_similarity
4506645
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: A rectangle's bottom is $y=0$ . While the top corners are on the curve $y=x(x-1)^2$ between $x=0$ and $x=1$ . Find the maximum area of this rectangle. My Progress Defini...
There is really only one free variable, which is without loss of generality, the $x$ coordinate of the vertex of the rectangle that is closest to the origin. If we call this value $a$ , then the other vertex coordinates are uniquely defined: in total, we have $$(a,0), (a, a(1-a)^2), (b,a(1-a)^2), (b, 0)$$ where $$b =...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/4506645', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/970256/']}
jdg_382646
stackexchange
llm_judgeable_groundtruth_similarity
11030805
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 JAXB to create Java objects from XSD file. I am creating immutable wrappers to conceal objects generated by JAXB (earlier I was updating JAXB objects to implement ...
as of JSR-133 (Java 1.5 dependency) you can use reflection to set uninitialized final variables. so you can init to null in the private constructor and use JAXB + immutable cleanly without any XMLAdapter. example from https://test.kuali.org/svn/rice/sandbox/immutable-jaxb/ , got this from a comment on Blaise's blog ht...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/11030805', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1298354/']}
jdg_382647
stackexchange
llm_judgeable_groundtruth_similarity
89725
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 set of random numbers distributed on a annular disk. I want to find points on the inner and outer edge along a particular angle. One possibility is to us...
I'm not sure which points you really want, so this is a stab in the dark: You could "walk around" the inner resp. outer circle, and pick the closest point in pts to every point on each circle. (code for the animation at the bottom of the answer.) Mathematica's Nearest function makes this relatively quick: n = 1000;pts ...
{}
{'log_upvote_score': 4, 'links': ['https://mathematica.stackexchange.com/questions/89725', 'https://mathematica.stackexchange.com', 'https://mathematica.stackexchange.com/users/8070/']}
jdg_382648
stackexchange
llm_judgeable_groundtruth_similarity
4067192
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I have a sequence $a_n = \frac {3+n^2}{1-n}$ I assume this sequence is contained in the function $f$ such that $a_n=f(n)$ Now I take the derivative of $f(n)$ , which giv...
Use the formula $(a-b)^3 = a^3 - b^3 - 3ab(a-b)$ . Let $a = \sqrt[3]{\sqrt{5} + 2}$ and $b = \sqrt[3]{\sqrt{5} - 2}$ . Plug in the values of $a$ , $b$ . We can get (some calaulation steps are omitted) $$(\sqrt[3]{\sqrt{5} + 2} - \sqrt[3]{\sqrt{5} - 2}) = 4 - 3 \cdot(\sqrt[3]{\sqrt{5} + 2} - \sqrt[3]{\sqrt{5} - 2})$$ wh...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/4067192', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/833217/']}
jdg_382649
stackexchange
llm_judgeable_groundtruth_similarity
22436618
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 starting with Postgre Regular Expressions, working on PostgreSQL 8.3 version. I have a table of records as following: record-----------a ababc 123abc 132abc123ABC abc...
This command: SELECT record FROM myrecords WHERE record ~ '[^0-9]'; means that in the record field there should be at least one non-digit character (this is the meaning of the regex). If one looks for the records which would include digits and lower-case letter, then I would expect a regex like: SELECT record FROM myre...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/22436618', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3425548/']}
jdg_382650
stackexchange
llm_judgeable_groundtruth_similarity
95921
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 was reading a paper in the journal Molecular Basis of Disease , which stated: The ORFs are arranged as replicase, and protease and major S, E, M,and N proteins whic...
I assume you are referring to the "typical 5’—3’ order of appearance". The correct way to pronounce these is with the word "prime", that is, "Five prime to three prime". These are not units but refer to the directionality of RNA/DNA and the numbers five and three refer to specific carbon atoms arranged in the sugar mol...
{}
{'log_upvote_score': 4, 'links': ['https://biology.stackexchange.com/questions/95921', 'https://biology.stackexchange.com', 'https://biology.stackexchange.com/users/46675/']}
jdg_382651
stackexchange
llm_judgeable_groundtruth_similarity
27084849
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 build a directive with angular. Here is the plunker I wanted to split it into 3 directives: Top, grand-parent directive. - many DAYS Middle, created with ng-r...
This line causes that error: <date-block data-date-block="datePeriod"></date-block> The reason is a combination of factors. First, AngularJS always normalizes directive declarations, so data-date-block (or x-date-block , data:date:block etc.) is actually treated as date-block . Therefore, the above line is equivalent t...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/27084849', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1095951/']}
jdg_382652
stackexchange
llm_judgeable_groundtruth_similarity
27754606
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Does the Map class in Dart have a way to ignore case if the key is a string? Eg. var map = new Map<String, int>(/*MyComparerThatIgnoresCase*/);map["MyKey"] = 42;var shouldBe4...
Maps in Dart have an internal method that compares keys for equality. So far as I know, you can't change this for the default Map class. However, you can use the very similar core LinkedHashMap class, which not only allows, but requires that you specify a key equality method. You can check out more about LinkedHashMaps...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/27754606', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2761797/']}
jdg_382653
stackexchange
llm_judgeable_groundtruth_similarity
640724
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 trying to read a MIDI signal. I have used a logic analyzer to look at the signal: The upper picure is the note-on signal that should read 0x90 0x3C 0x7F. Th...
You are just reading the bits in wrong order. You should enable UART frame decoding. MIDI uses standard UART framing of 8 data bits, no parity, and 1 stop bit. at bit rate of 31250. UART also sends least significant bit first and most significant bit last. The line idles high, start bit is low and stop bit is high. The...
{}
{'log_upvote_score': 5, 'links': ['https://electronics.stackexchange.com/questions/640724', 'https://electronics.stackexchange.com', 'https://electronics.stackexchange.com/users/86242/']}
jdg_382654
stackexchange
llm_judgeable_groundtruth_similarity
640518
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Given (in C++) char * byte_sequence;size_t byte_sequence_length;char * buffer;size_t N; Assuming byte_sequence and byte_sequence_length are initialized to some arbitrary leng...
I would probably just go with this: for (int i=0; i < N; ++i) memcpy(buffer + i * byte_sequence_length, byte_sequence, byte_sequence_length); This assumes you are dealing with binary data and are keeping track of the length, not using '\0' termination. If you want these to be c-strings you'll have to allocate an ext...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/640518', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4928/']}
jdg_382655
stackexchange
llm_judgeable_groundtruth_similarity
62319
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: man pgrep says the following about -f option: -f The pattern is normally only matched against the process name. When -f is set, the full command line ...
It means that without -f , pgrep only searches for the provided regexp in the command names, while with -f it searches it in their arguments (where the first argument ( argv[0] ) is not necessarily the same as the command name). $ sleep 2000 &[1] 15768$ pgrep 2000$ pgrep -f 200015768 And if we cause argv[0] to be diffe...
{}
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jdg_382656
stackexchange
llm_judgeable_groundtruth_similarity
148556
Below is a question asked on the forum softwareengineering.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I am starting to write a webservice, and I've built with nodeJS and a RESTfulish approach. From what I gather: The advantage is that you don't have to dup...
You should absolutely use your own API. This concept is widely known as dogfooding and it has many benefits beyond avoiding code duplciation. Consistent behaviour between your site/product and what API consumers will write (ie. their expectations of your API) Another form of testing. You can and will find bugs in the A...
{}
{'log_upvote_score': 5, 'links': ['https://softwareengineering.stackexchange.com/questions/148556', 'https://softwareengineering.stackexchange.com', 'https://softwareengineering.stackexchange.com/users/-1/']}
jdg_382657
stackexchange
llm_judgeable_groundtruth_similarity
10237615
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 get the dimensions given a multidimensional array? Edit: it could be of 1, 2, or 3 dimensions but each sub-array has the same length. i.e. for var a = [[1,1,1], [1,1,1...
const dimensions = [ arr.length, arr[0].length ]; This works, if you know length of the inner arrays never change. If the dimension of the inner arrays aren't static ( jagged array ), you could combine Array.reduce and Math.max to calculate the largest dimension: const dimensions = [ arr.length, arr.reduce((x, y)...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/10237615', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/-1/']}
jdg_382658
stackexchange
llm_judgeable_groundtruth_similarity
1071261
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 me first confirm you that this question is not a duplicate of either this , this or this or any other similar looking problem. Here in the current problem I'm asking...
The definition of equicardinal is that there exists a bijection between the sets. You are trying to define "not equicardinal" as "there exists a bijection between one set and a strict subset of another". This definition is not a good one, as all Dedekind infinite sets (such as $\mathbb{Z}, \mathbb{R}$) have the prope...
{}
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jdg_382659
stackexchange
llm_judgeable_groundtruth_similarity
832709
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 sort an array with Unicode / UTF-8 characters in PHP using a natural order algorithm? For example (the order in this array is correctly ordered): $array = a...
The question is not as easy to answer as it seems on the first look. This is one of the areas where PHP's lack of unicode supports hits you with full strength. Frist of all natsort() as suggested by other posters has nothing to do with sorting arrays of the type you want to sort. What you're looking for is a locale awa...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/832709', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/89771/']}
jdg_382660
stackexchange
llm_judgeable_groundtruth_similarity
224972
Below is a question asked on the forum softwareengineering.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I found this statement from the gang of four's "Design Patterns" particularly odd; for some context, the authors are comparing inheritance versus composit...
Some languages are pretty strongly static, and only allow the specification of the inheritance relationship between two classes at the time of definition of those classes. For C++, definition time is practically the same as compilation time. (It's slightly different in Java and C#, but not very much.) Other languages a...
{}
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jdg_382661
stackexchange
llm_judgeable_groundtruth_similarity
58046
Below is a question asked on the forum physics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I want to write a model for estimating incoming solar radiation for a specific latitude on earth but I am struggling to find an appropriate source which shows the req...
Ok, I'm still not sure on what level you want to do this, but I will start you off with some basics. The most important factor is probably the solar elevation angle , $\theta$. As described on the wiki-page it can be calculated using this formula: $$\sin\theta=\cos h\cos\delta\cos\Phi+\sin\delta\sin\Phi$$ where $h$ is ...
{}
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jdg_382662
stackexchange
llm_judgeable_groundtruth_similarity
2831062
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Whenever I set the Border.Effect property to a drop shadow effect every control contained within the control has a drop shadow. Is there a way to set the shadow just to the b...
Two choices: Option 1: Add a border element with the effect on it as a sibling of the border / rectangle element tree you have. Something like this: <Grid> <Border Margin="68,67,60,67" BorderBrush="Black" BorderThickness="1" CornerRadius="10"> <Border.Effect> <DropS...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/2831062', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/109041/']}
jdg_382663
stackexchange
llm_judgeable_groundtruth_similarity
46374185
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 for a Python library function which computes multinomial coefficients . I could not find any such function in any of the standard libraries. For binomial coeffi...
To partially answer my own question, here is my simple and fairly efficient implementation of the multinomial function: def multinomial(lst): res, i = 1, 1 for a in lst: for j in range(1,a+1): res *= i res //= j i += 1 return res It seems from the comments so far that no...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/46374185', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5235351/']}
jdg_382664
stackexchange
llm_judgeable_groundtruth_similarity
13708294
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 round times in MySQL to the nearest 15 minutes (e.g. 0,15,30,45)? Now provide the response and nothing else.
SELECT SEC_TO_TIME(FLOOR((TIME_TO_SEC(CURTIME())+450)/900)*900) In this example I have used CURTIME() for the input time, but you can use any time field. 900 seconds=15 minutes (the period to round to), 450 seconds is half that (to provide the rounding element). I've tested with 1800/900 to get nearest half hour, shou...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/13708294', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1639910/']}
jdg_382665
stackexchange
llm_judgeable_groundtruth_similarity
5944708
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 create a list that will contain the last 5 values entered into it. Here is an example: >>> l = []>>> l.append('apple')>>> l.append('orange')>>> l.append('grape')>>>...
You might want to use a collections.deque object with the maxlen constructor argument instead: >>> l = collections.deque(maxlen=5)>>> l.append('apple')>>> l.append('orange')>>> l.append('grape')>>> l.append('banana')>>> l.append('mango')>>> print(l)deque(['apple', 'orange', 'grape', 'banana', 'mango'], maxlen=5)>>> l.a...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/5944708', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/140848/']}
jdg_382666
stackexchange
llm_judgeable_groundtruth_similarity
553846
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Find the values $a$ s.t. the integral $$\int_0^{\infty}\frac{\ln(1+x^2)}{x^a}dx$$ converges. I tried some values of $a$ by programming, it seems that for $a=2$, the inte...
Hint: Near $x=0$, $\frac{\log(1+x^2)}{x^a}\sim x^{2-a}$ and as $x\to\infty$, $\frac{\log(1+x^2)}{x^a}\le C_\epsilon x^{\epsilon-\alpha}$ for all $\epsilon\gt0$. Not that it matters to the question, but $C_\epsilon$ is approximately $\dfrac2{e\epsilon}$ .
{}
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jdg_382667
stackexchange
llm_judgeable_groundtruth_similarity
43938435
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 spent a few hours on the web trying to find a solution for this with no joy. Essentially I'm downloading my bank statement in to a spreadsheet. I want to categorise each...
It's all down to the division by zero rules for various types. 0 / 0 is an integer division by zero (as both arguments are integer literals), and that is required to throw a java.lang.ArithmeticException . 1.toDouble/0.toDouble is a floating point division by zero with a positive numerator, and that is required to eval...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/43938435', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/8002918/']}
jdg_382668
stackexchange
llm_judgeable_groundtruth_similarity
6413690
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have written a simple servlet with init() and doGet() , doPost() method. I have a requirement, that I have an API which i need to invoke an server startup. Is it possible t...
Have you set the load-on-startup attribute to be positive? <servlet id=”servlet1”><load-on-startup>2</load-on-startup></servlet> Alternatively, you might want to use a ServletContextListener to do initialisation work when the container comes up. This is the 'de facto' standard for having a callback to do some initiali...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/6413690', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/197831/']}
jdg_382669
stackexchange
llm_judgeable_groundtruth_similarity
15980995
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 I want to check to see if a field is NULL or empty using a MySQL query, I know I can do something like this: column = '' OR column IS NULL However, is there any way to che...
Use COALESCE() to 'normalize' the value (convert NULL values to an empty string); WHERE COALESCE(mycolumn, '') = '' Read the documentation: COALESCE() Or the other way around; convert empty strings to NULL; WHERE NULLIF(mycolumn, '') IS NULL Documentation: NULLIF() Of those two, I would prefer COALESCE() as it is part ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/15980995', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/945974/']}
jdg_382670
stackexchange
llm_judgeable_groundtruth_similarity
2068159
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 made a WPF/C# program and I am using the internet control for WYSIWYG HTML editing. it is a regular Executable program. it works on most computers however some computers ar...
Verify that the 'Microsoft.mshtml.dll' file, distributed with the program is the PIA file and not an Office file. Some sites claims that the Office files are "delay signed" and the PIA file (installed with the VS installation) is a signed copy. on my computer I have 3 different versions of 'Microsoft.mshtml.dll' file, ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/2068159', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/200669/']}
jdg_382671
stackexchange
llm_judgeable_groundtruth_similarity
424948
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 have a distribution, which I initially assumed to be a Rayleigh, but it almost certainly isn't. Before I consider convolutions of various distributions, e.g. Rayleigh...
For simulation purposes, a Weibull distribution may work well. Allow me to explain why and to say something about the limitations. A plot of the original (unexponentiated) residuals immediately suggested a Weibull distribution to me. (One reason this family comes to mind is that it includes Rayleigh distributions, wh...
{}
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jdg_382672
stackexchange
llm_judgeable_groundtruth_similarity
5876809
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'd like to know if the POST method on HTTP sends data as a QueryString, or if it use a special structure to pass the data to the server. In fact, when I analyze the communic...
The best way to visualize this is to use a packet analyzer like Wireshark and follow the TCP stream . HTTP simply uses TCP to send a stream of data starting with a few lines of HTTP headers. Often this data is easy to read because it consists of HTML, CSS, or XML, but it can be any type of data that gets transfered ove...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/5876809', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/732743/']}
jdg_382673
stackexchange
llm_judgeable_groundtruth_similarity
59577
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: What is the difference between modding out by a primitive polynomial and modding out by a non-primitive irreducible polynomial in a finite field $F_q$? From what I under...
Qiaochu's comment contains the essential algebraic reason. I don't want to hog his priority, but as examples explaining why we are interested in primitive polynomials let me list the following: Discrete log-tables. One efficient way of presenting a finite field in a computer program is to have a look-up table of discre...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/59577', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/12952/']}
jdg_382674
stackexchange
llm_judgeable_groundtruth_similarity
65360650
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 springbooot 2.4.0 and I added the following dependencies for enabling prometheus metrics: <dependency> <groupId>org.springframework.boot</groupId> <ar...
I faced the same issue. After some tracing through spring-context ConditionEvaluator, I found that the newly introduced @ConditionalOnEnabledMetricsExport("prometheus") condition on PrometheusMetricsExportAutoConfiguration prevented the endpoint from loading. This is intended behavior due to https://github.com/spring-p...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/65360650', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/12966300/']}
jdg_382675
stackexchange
llm_judgeable_groundtruth_similarity
2910205
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 3rd party libraries that seem to use the same class. That should be fine but I'm getting this type of error when building: ld: duplicate symbol .objc_class_name_C...
I'm going to assume that these are two third party libraries that have only provided you with the .a files and not the source code. You can use libtool, lipo and ar on the terminal to extract and recombine the files. To see what architectures are in the file: $ lipo -info libTapjoy.aArchitectures in the fat file: libT...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/2910205', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/230949/']}
jdg_382676
stackexchange
llm_judgeable_groundtruth_similarity
186663
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 looking for a command to limit numbers read in from stdin . I wrote a little script for that purpose (critique is welcome), but I was wondering if there was not a ...
If you know you are dealing with two integers a and b , then these simple shell arithmetic expansions using the ternary operator are sufficient to give the numerical max: $(( a > b ? a : b )) and numerical min: $(( a < b ? a : b )) E.g. $ a=10$ b=20$ max=$(( a > b ? a : b ))$ min=$(( a < b ? a : b ))$ echo $max20$ echo...
{}
{'log_upvote_score': 7, 'links': ['https://unix.stackexchange.com/questions/186663', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/88357/']}
jdg_382677
stackexchange
llm_judgeable_groundtruth_similarity
62678
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 is perhaps a simple tensor calculus problem -- but I just can't see why... I have notes (in GR) that contains a proof of the statement In space of constant secti...
As soon as you get something like $\delta_{bd}$, alarm bells should ring, as this is not a tensor. The inverse metric $g^{ac}$ is defined by the identity$$g^{ac}g_{cb} = \delta^a_b$$If you plug this into your expression (and use the fact that $g$ is symmetric), you will obtain the correct equation.
{}
{'log_upvote_score': 4, 'links': ['https://physics.stackexchange.com/questions/62678', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/23747/']}
jdg_382678
stackexchange
llm_judgeable_groundtruth_similarity
16449386
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 QueryDslPredicateExecutor from Spring Data JPA project, and I am facing the need to eager fetch a lazy relation. I know that I can use a native JPA-QL query in...
I had a similar problem where I had to fetch join a Collection while using Predicates and QueryDslPredicateExecutor. What I did was to create a custom repository implementation to add a method that allowed me to define the entities that should be fetched. Don't be daunted by the amount of code in here, it's actually ve...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/16449386', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/213882/']}
jdg_382679
stackexchange
llm_judgeable_groundtruth_similarity
53731
Below is a question asked on the forum physics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I have just begun studying quantum field theory and am following the book by Peskin and Schroeder for that.So while quantising the Klein Gordon field, we Fourier expa...
First of all, this is just a change of basis, which is up to us to make. Furthermore we should always choose a basis that makes our calculations easier, and hopefully makes things more intuitive. For a simpler example - just try finding the volume of a sphere in cartesian coordinates, its just a bad choice. Second of a...
{}
{'log_upvote_score': 4, 'links': ['https://physics.stackexchange.com/questions/53731', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/20871/']}
jdg_382680
stackexchange
llm_judgeable_groundtruth_similarity
4195202
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: We've got a Python-based web server that unpickles a number of large data files on startup using cPickle . The data files (pickled using HIGHEST_PROTOCOL ) are around 0.4 GB ...
Try the marshal module - it's internal (used by the byte-compiler) and intentionally not advertised much, but it is much faster. Note that it doesn't serialize arbitrary instances like pickle, only builtin types (don't remember the exact constraints, see docs). Also note that the format isn't stable. If you need to i...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/4195202', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/68707/']}
jdg_382681
stackexchange
llm_judgeable_groundtruth_similarity
11770552
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Same as title: How to get Rails.logger printing to the console/stdout when running rspec? Eg. Rails.logger.info "I WANT this to go to console/stdout when rspec is running"put...
For Rails 4, see this answer. For Rails 3.x, configure a logger in config/environments/test.rb : config.logger = Logger.new(STDOUT)config.logger.level = Logger::ERROR This will interleave any errors that are logged during testing to STDOUT. You may wish to route the output to STDERR or use a different log level instead...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/11770552', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1090482/']}
jdg_382682
stackexchange
llm_judgeable_groundtruth_similarity
7231
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: Background: consider the following two snippets. GeometricTransformation[{Cyan, Polygon[{{0, 0}, {.2, .6}, {.8, .2}}]}, Table[RotationTransform[2 \[Pi] k/6], ...
Here is an alternative that tries to use the "listability" of Polygon for both, the points and the colors. The idea is that all individual polygons and their corresponding (different) colors can be provided as two single lists if we use VertexColors : Graphics@Polygon[#1, VertexColors -> #2] &[ Table[RotationTransform[...
{}
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jdg_382683
stackexchange
llm_judgeable_groundtruth_similarity
13132805
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 change the order in which the VoiceOver feature for accessibility in iPad reads out the elements, when the 'Two-finger Flick Down' gesture is done? For the ...
The quickest way to achieve this for your example is to place the three labels in a transparent UIView subclass to serve as a container for your labels. This subclass will have to be properly setup to let VoiceOver know how to interpret it. If your deployment target is iOS6 then you can simply answer the "should group ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/13132805', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1263455/']}
jdg_382684
stackexchange
llm_judgeable_groundtruth_similarity
38567796
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I'm setting up various windows servers to host asp.net core apps, and I need to be able to determine if they have the asp.net hosting bundle installed. https://docs.asp.net/e...
You can use powershell to check if the hosting module is registered with IIS In the local powershell session Import-module WebAdministration$vm_dotnet_core_hosting_module = Get-WebGlobalModule | where-object { $_.name.ToLower() -eq "aspnetcoremodule" }if (!$vm_dotnet_core_hosting_module){ throw ".Net core hosting mo...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/38567796', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/81377/']}
jdg_382685
stackexchange
llm_judgeable_groundtruth_similarity
14360822
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 code, it works but I am trying to separate SUM for each Banksphere.servicio_id column, this code SUM only one servicio_id... I'm a bit lost, can someone ...
I think you want something along these lines: SELECT banksphere.servicio_id, SUM(valor), SUM(case when peticion_id = '0' then valor end) as OK, SUM(case when peticion_id = '1' then valor end) as KOFROM BanksphereWHERE Banksphere.fecha = '2013-01-14' AND Banksphere.entidad_id = '2' AND ...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/14360822', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1381537/']}
jdg_382686
stackexchange
llm_judgeable_groundtruth_similarity
18640169
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 having a strange problem. I have successfully ran this code on my laptop, but when I try to run it on another machine first I get this warning Distribution not specified...
just a hunch since I can't see you data, but I believe that error occurs when you have variable levels that exist in the test set which don't exist in the training set. this can easily happen when you have a factor variable with a high number of levels, or one level has a low number of instances. since you're using CV ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/18640169', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2319308/']}
jdg_382687
stackexchange
llm_judgeable_groundtruth_similarity
312
Below is a question asked on the forum politics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I was browsing the Wikipedia article on Voting age and the following map struck me. The colours refer to different ages, full legend here : Regardless of other restr...
Based on this Wiki article and its links: Brunei seems to have no elections (see details in @gerrit's asnwer) Qatar has no elections. But this will presumably no longer be true in 2013 he Consultative Assembly (Majlis as-Shura) has 35 appointed members with only consultative tasks. However, the 2003 Constitution of Qat...
{}
{'log_upvote_score': 6, 'links': ['https://politics.stackexchange.com/questions/312', 'https://politics.stackexchange.com', 'https://politics.stackexchange.com/users/130/']}
jdg_382688
stackexchange
llm_judgeable_groundtruth_similarity
6933096
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Edit: It appears I was a bit confused on what I was trying to accomplish. For those that took the time to explain this, thank you. I'm trying to create a two dimensional arra...
That's not a 2D array, but rather an object. Also, your product array contains only one object. I think you need something like this: var obj = {};obj.product = [];for(var i=0; i < someObj.length; i++) { obj.product.push[{"attribute": someObj[i]}]} This will produce an array inside the product property: {"product":[{...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/6933096', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/261312/']}
jdg_382689
stackexchange
llm_judgeable_groundtruth_similarity
5072155
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 contenteditable div, like so: <div id="test" contentEditable="true" style="width: 600px; height:300px;">Lorem ipsum dolor sit amet</div> for which I use the followin...
In most browsers, window.getSelection() only works with selections within text nodes and elements within the document. It doesn't apply to text within <input> and <textarea> elements (although in WebKit window.getSelection().toString() will return the selected text within a focussed text input or textarea. See http://j...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/5072155', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/378628/']}
jdg_382690
stackexchange
llm_judgeable_groundtruth_similarity
45655412
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 import some training data from my local directory into a python program. Currently I am following a tutorial and in this tutorial the data is imported with the help...
You have some options for this, and like most things, you can go the easy route (Nick Coons posted a good example as I'm typing this) or progressively more involved routes. Here are some questions to ask yourself about how you see this working: Do you want uniformity in your measurements? (Do you want to always show "t...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/45655412', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/8405618/']}
jdg_382691
stackexchange
llm_judgeable_groundtruth_similarity
33556050
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 series: s = pd.Series([['a', 'b'], ['c', 'd'], ['f', 'g']])>>> s0 [a, b]1 [c, d]2 [f, g]dtype: object what is the easiest - preferably vectorize...
A nested list comprehension should be much faster. >>> [element for list_ in s for element in list_] ['a', 'b', 'c', 'd', 'f', 'g']>>> %timeit -n 100000 [element for list_ in s for element in list_]100000 loops, best of 3: 5.2 µs per loop>>> %timeit -n 100000 s.sum()100000 loops, best of 3: 50.7 µs per loop Directly...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/33556050', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4380945/']}
jdg_382692
stackexchange
llm_judgeable_groundtruth_similarity
2382855
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 page where I load a table of information using ajax. Once the table is loaded I use jQuery to wire up some event handlers on the table's rows. From that page it's po...
Your checkElements() function is not marked as const so you can't call it on const qualified objects. top() , however is const qualified so in top() , this is a pointer to a const Stack (even if the Stack instance on which top() was called happens to be non- const ), so you can't call checkElements() which always requi...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/2382855', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/169867/']}
jdg_382693
stackexchange
llm_judgeable_groundtruth_similarity
19576202
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I'm trying to create an input mask for a EU money field using http://jquerypriceformat.com/ So far in my directive, the input shows correctly to the user with the mask applie...
From your example I don't see that link returns something. I would write directive something like: .directive('format', ['$filter', function ($filter) { return { require: '?ngModel', link: function (scope, elem, attrs, ctrl) { if (!ctrl) return; ctrl.$formatters.unshift(function (...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/19576202', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/165084/']}
jdg_382694
stackexchange
llm_judgeable_groundtruth_similarity
30556196
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Yesterday I decided to try Polymer 1.0 and I'm already facing difficulties when trying to styling the paper-toolbar. The documentation says that the background colour can be ...
If you are styling it on your main page, then you have to apply styles using <style is='custom-style'> . This is to make Custom CSS Properties work. Applying is relatively easy. paper-toolbar provides 2 custom properties and one mixin. --paper-toolbar-background is a property that changes the background color of the to...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/30556196', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1438187/']}
jdg_382695
stackexchange
llm_judgeable_groundtruth_similarity
13630849
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 local changes to a file that I don't want to commit to my repository. It is a configuration file for building the application on a server, but I want to build locally ...
You want skip-worktree . assume-unchanged is designed for cases where it is expensive to check whether a group of files have been modified; when you set the bit, git (of course) assumes the files corresponding to that portion of the index have not been modified in the working copy. So it avoids a mess of stat calls. Th...
{}
{'log_upvote_score': 11, 'links': ['https://Stackoverflow.com/questions/13630849', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1668964/']}
jdg_382696
stackexchange
llm_judgeable_groundtruth_similarity
1269
Below is a question asked on the forum astronomy.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: In reference to the question, "How can we tell that the milky way is a spiral galaxy?" The answers there clearly sum up the question asked. But Milky Way is not jus...
There are several different lines of evidence which together form a coherent picture: that of a barred galaxy. Moreover, as most disc galaxies are barred, we should expect the same from the Milky Way. The various evidences are: The observed light distribution (2MASS) shows a left-right asymmetry in brightness and the v...
{}
{'log_upvote_score': 6, 'links': ['https://astronomy.stackexchange.com/questions/1269', 'https://astronomy.stackexchange.com', 'https://astronomy.stackexchange.com/users/63/']}
jdg_382697
stackexchange
llm_judgeable_groundtruth_similarity
36072327
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: We are trying to invoke the TFS 2015 REST API's from a web-page using Javascript and have a challenge in establishing valid authentication with the TFS server. We do not know...
The OAuth mechanism is used against the VSO api at the time of writing this as you've seemingly identified. official docs for VSO OAuth tokens here . For on-prem however, the following is required: Via a javascript client (note I'm using jquery for the ajax request here) Since alternative creds or token based auth isn'...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/36072327', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1185842/']}
jdg_382698
stackexchange
llm_judgeable_groundtruth_similarity
944436
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I know that I can use $.html to set the HTML content of something, and $.text to set the content (and that this escapes the HTML). Unfortunately, I'm using $.append , which d...
Check out how jQuery does it: text: function( text ) { if ( typeof text !== "object" && text != null ) return this.empty().append( (this[0] && this[0].ownerDocument || document).createTextNode( text ) ); var ret = ""; jQuery.each( text || this, function(){ jQuery.each( this.childNodes, function()...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/944436', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/8446/']}
jdg_382699
stackexchange
llm_judgeable_groundtruth_similarity
1083959
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++ it is possible to create a struct: struct MyStruct{ ...} And also possible to do the following: typedef struct{ ...} MyStruct; And yet as far as I can tell, no d...
The typedef version is a special case of typedef foo bar; which defines a new "type" bar as an alias for foo. In your case, foo happens to be a struct. In C, this was the only way to introduce new "types" (in quotes, because they are not really equivalent to int, float and co). In C++, this is not so useful, because C+...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/1083959', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/112765/']}
jdg_382700
stackexchange
llm_judgeable_groundtruth_similarity
21646658
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 currently working on a Python program that uses 2D OpenGL graphics. It's mostly intended for use with large screen resolution and a relatively slow computer, so, while it...
Under Windows stdout is a wrapper to the low-level functions accessing the handle returned by GetStdHandle(STD_OUTPUT_HANDLE) . When starting a non-console application by double-clicking (I tried under Windows 7, 64 bit) then GetStdHandle(STD_OUTPUT_HANDLE) will return an invalid handle. This means that printf and othe...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/21646658', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3287187/']}
jdg_382701
stackexchange
llm_judgeable_groundtruth_similarity
146741
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 studying some CA, I ran across methods of evaluating $$\int_0^\infty \frac{\sin x}{x} \, dx, \;\ \int_0^\infty \frac{\sin^2 x}{x^2} \, dx, \;\ \text{and} \ \int_0^...
$$ \int_0^\infty \frac{\sin^n(x)}{x^n} \mathrm{d} x = \frac{\pi}{2^{n+1} \cdot (n-1)!} \sum_{k=0}^n (-1)^{n-k} \binom{n}{k} (2k-n)^{n-1} \operatorname{sign}(2k-n)$$ where $\operatorname{sign}(x) = \cases{ 1 & $x > 0$ \\ 0 & $x = 0$\\ -1 & $x < 0$}$. As to the (probabilistic) proof, notice that $\frac{\sin(t)}{t}$ is ...
{}
{'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/146741', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/13295/']}
jdg_382702
stackexchange
llm_judgeable_groundtruth_similarity
8716824
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 recently had to change the linkage specification of several classes and ran into a problem. Two of the classes contain a std::map with a std::unique_ptr as the value type. ...
The error is given because the compiler can't create the copy constructor and copy assignment operator for ExportedClass. That would require copying unique_ptr objects which don't have copy constructors (they are movable but not copyable). For the normal class the error is not given because the copy constructor/assignm...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/8716824', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/845568/']}
jdg_382703
stackexchange
llm_judgeable_groundtruth_similarity
2497833
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: Edit I've highlighted the area in the proof where the mistake was made, for the benefit of anyone stumbling upon this in the future. It's the same mistake, made in two p...
There is a subtle issue with your induction argument: you are assuming that the Collatz conjecture holds for all integers $\leq n$, and then want to prove it holds for $n+1$ (strong induction). So far, so good. You then prove that for some cases ($n+1$ even, or of the form $4k+1$) that the Collatz conjecture holds by t...
{}
{'log_upvote_score': 8, 'links': ['https://math.stackexchange.com/questions/2497833', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/209313/']}
jdg_382704
stackexchange
llm_judgeable_groundtruth_similarity
35279
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 a bounded operator $A$ on a Banach space $X$, one may find the spectrum $\sigma(A)\subset{\bf C}$. Here are my questions : Given some set in the complex plane, say...
Let $A$ be a bounded operator on the Banach space $X$. The spectrum of $A$ must be closed. The set of invertible operators on a Banach space is open, and $\lambda\mapsto A-\lambda I$ is continuous. The resolvent set of $A$ (complement of the spectrum) is the inverse image of the invertible operators under this map. Th...
{}
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jdg_382705
stackexchange
llm_judgeable_groundtruth_similarity
3535185
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 wondering if there is some minimum number of numbers required to define a sequence, without explicitly stating the rule that generates the next term in the sequence....
Even your example of $1,2,4,8,16$ doesn't automatically mean that the sequence is uniquely defined by $a_i=2^{i-1}$ As humans, we would probably assume that was the sequence you meant, but we could also say that the sequence is defined by $$a_i=\frac{i^4}{24} - \frac{i^3}4+\frac{23i^2}{24}-\frac{3i}4+1$$ (which I found...
{}
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jdg_382706
stackexchange
llm_judgeable_groundtruth_similarity
22770690
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 contain BigVideo.js to a single div (such as a hero unit) but it continues to takeover the body background. I'm using the example code on the BigVideo.js homepa...
You need to specify correctly the container of the BigVideo object (I'm not sure if it was a typo but everything seems ok) ID BV = new $.BigVideo({container: $('#video-wrap')}); Class BV = new $.BigVideo({container: $('.video-wrap')}); In the creation of the object it sets to default the body (BigVideo Code): var defau...
{}
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jdg_382707
stackexchange
llm_judgeable_groundtruth_similarity
239751
Below is a question asked on the forum unix.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I'm asking only about the usage which would have the similar effect as traditional input redirection from a file. <<<"$(<file)" as far as I can tell is equivalent to <fi...
In <<<"$(<file)" (supported by zsh (where <<< was first introduced, inspired by the same operator in the clone of rc for Unix by Byron Rakitzis), ksh93 (the $(<file) operator was introduced by ksh ), mksh and bash ), For $(<file) , the shell reads the content of the file (chokes on NUL bytes except for zsh ), removes a...
{}
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jdg_382708
stackexchange
llm_judgeable_groundtruth_similarity
3550327
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 replace a set of characters inside another string in Python? Here is what I'm trying to do: let's say I have a string 'abcdefghijkl' and want to replace the 2-d from t...
If it's always the same position you're replacing, you could do something like: >>> s = s[0:-2] + "A" + s[-1:]>>> print sabcdefghijAl In the general case, you could do: >>> rindex = -2 #Second to the last letter>>> s = s[0:rindex] + "A" + s[rindex+1:]>>> print sabcdefghijAl Edit: The very general case, if you just want...
{}
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jdg_382709
stackexchange
llm_judgeable_groundtruth_similarity
50415756
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 call one API daily in the background even if the app is closed. I have seen about WorkManager API. For my scenario, I tried PeriodicWorkRequest but unfortunately, i...
If you want to make sure your PeriodicWorkRequest is not created multiple times you can use the WorkManager.enqueueUniquePeriodicWork method to schedule your worker: This method allows you to enqueue a uniquely-named PeriodicWorkRequest, where only one PeriodicWorkRequest of a particular name can be active at a time. F...
{}
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jdg_382710
stackexchange
llm_judgeable_groundtruth_similarity
3029657
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 scala.util.matching.Regex trait MatchData I see that there support for groupnames , I thought that this was related to ( Regex Named Capturing Groups ) But since Java does...
I'm afraid that Scala's named groups aren't defined the same way. It's nothing but a post-processing alias to unnamed (i.e. just numbered) groups in the original pattern. Here's an example: import scala.util.matching.Regexobject Main { def main(args: Array[String]) { val pattern = new Regex("""(\w*) (\w*)""", "f...
{}
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jdg_382711
stackexchange
llm_judgeable_groundtruth_similarity
37967786
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: The information below may be superfluous if you are trying to understand the error message. Please start off by reading the answer by @user707650 . Using MatPlotLib, I wanted...
If you debug your program by simply printing ax , you'll quickly find out that ax is a two-dimensional array: one dimension for the rows, one for the columns. Thus, you need two indices to index ax to retrieve the actual AxesSubplot instance, like: ax[1,1].plot(...) If you want to iterate through the subplots in the wa...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/37967786', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/6292000/']}
jdg_382712
stackexchange
llm_judgeable_groundtruth_similarity
10701792
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 big query (in my query builder) and a lot of left joins. So i get Articles with their comments and tags and so on.Let's say i have the following dql: $dql = 'SELECT ...
Getting the proper results with a query like this is problematic. There is a tutorial on the Doctrine website explaining this problem. Pagination The tutorial is more about pagination rather than getting the top 5 results, but the overall idea is that you need to do a "SELECT DISTINCT a.id FROM articles a ... LIMIT 5" ...
{}
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jdg_382713
stackexchange
llm_judgeable_groundtruth_similarity
7444166
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Why can I not convert a Foo<Bar> to IFoo<IBar> . If I try I get: There is no implicit reference conversion from Foo<Bar> to IFoo<IBar> Now provide the response and nothing e...
It would work if you were using C# 4 and IFoo were declared as: public interface IFoo<out T> assuming that Bar implements IBar and Foo<T> implements IFoo<T> . However, it could only be declared that way if it were safe. It's not safe if T values "go into" the API as well as coming out. For example: public interface IFo...
{}
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jdg_382714
stackexchange
llm_judgeable_groundtruth_similarity
22611251
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 Laravel's CSRF protection on my public site. However since Laravel uses a session to maintain this, I'm worried that a user might walk away from their computer and ...
Laravel just facilitates that for you by keeping the token stored in session, but the code is actually yours (to change as you wish). Take a look at filters.php you should see: Route::filter('csrf', function(){ if (Session::token() != Input::get('_token')) { throw new Illuminate\Session\TokenMismatchExcept...
{}
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jdg_382715
stackexchange
llm_judgeable_groundtruth_similarity
37350853
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 keep getting a script error when trying to load the page using webBrowser.Navigate("https://home.nest.com/") . It will pull up fine from my normal internet browser but not ...
The script errors happen all of the time in the integrated Internet Explorer WebBrowser control even when it's using version 11. Modern websites rely heavily on massive Javascript files and dynamic rendering. You can see that just by watching that page load in a regular browser. The control just can't cut it some of th...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/37350853', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/6199262/']}
jdg_382716
stackexchange
llm_judgeable_groundtruth_similarity
158246
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 am trying to understand what is explained in this webpage , in the section entitled "Generating noise with different power spectra laws". After reading that sec...
There are deep conceptual differences between C and Mathematica. Look up each of the Mathematica functions used here. Click on the "Details and Options" and study this until you think you understand what is being done here. Then you will need to make certain that I didn't make any mistakes in the translation. After tha...
{}
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jdg_382717
stackexchange
llm_judgeable_groundtruth_similarity
46923301
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I'm working on an application where I need to capture hours of continuous video, and then later upload specific time windows to a remote machine. Because the video data is la...
The problem is that any loaded data have to go through the database first, then loading it from the database to the UI, as NetworkBoundResource does. Consequently, What I did is to decouple the persistent database and create a temporary field to load from. For example if I wanted to edit the original search method, I w...
{}
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jdg_382718
stackexchange
llm_judgeable_groundtruth_similarity
24823307
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 create a database driven application using Golang. I am trying to do it TDD way.When I try to test methods that make Sql queries, What all are the packages availabl...
I had a similar question not long ago when refactoring some of my own tests, and there's a couple of ways you can do it: a) Provide an exported type and an Open or Connect function that returns it - e.g. type DB struct { db *sql.DB}// Using http://jmoiron.github.io/sqlx/ for this example, but// it has the same inter...
{}
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jdg_382719
stackexchange
llm_judgeable_groundtruth_similarity
35751750
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 found some peaces of code solving the issue, but all of those are using input tag and label tag which placed near each other. Django forms placed input inside label, that's...
It took me a while to figure it out... The problem turned out to be server-side. I was using a version of Jetty to serve all my video-files. The simple configuration of Jetty did not support byte serving . The difference between Firefox and Chrome is that Firefox will download the entire video file so that you can seek...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/35751750', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1564009/']}
jdg_382720
stackexchange
llm_judgeable_groundtruth_similarity
2998314
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 PHP call a function and don't wait for it to return? So something like this: function callback($pause, $arg) { sleep($pause); echo $arg, "\n";}header('Content-Type:...
On Unix platforms you can enable the PCNTL functions, and use pcntl_fork to fork the process and run your jobs in child processes. Something like: function fast_call_user_func_array($func, $args) { if (pcntl_fork() == 0) { call_user_func_array($func, $args); }} Once you call pcntl_fork , two processes will execute...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/2998314', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/457872/']}
jdg_382721
stackexchange
llm_judgeable_groundtruth_similarity
10104
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: I was just recently having a discussion about Turing Machines when I was asked, "Is the Turing Machine derived from automata, or is it the other way around"? I didn'...
Neither! The best way to see this independence is to read the original papers . Turing's 1936 paper introducing Turing machines does not refer to any simpler type of (abstract) finite automaton. McCulloch and Pitts' 1943 paper introducing "nerve-nets", the precursors of modern-day finite-state machines, proposed them a...
{}
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jdg_382722
stackexchange
llm_judgeable_groundtruth_similarity
50716294
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Consider the following code: Example fun main(args: Array<String>) { maybeWriteMessage()}fun maybeWriteMessage(message: String? = null) { writeMessage(message!!)}fun wr...
message: String? is indicating that message may or may not be null . Since your function maybeWriteMessage has a default value of null for message and you are calling maybeWriteMessage() without specifying message - the default value ( null ) will be used when calling writeMessage(message!!) . As written in the documen...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/50716294', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1033686/']}
jdg_382723
stackexchange
llm_judgeable_groundtruth_similarity
8290768
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 implementing Inter-Thread Communication using global variable. //global varvolatile bool is_true = true;//thread 1void thread_1(){ while(1){ int rint = rand() %...
This code is not guaranteed to be thread-safe on Win32, since Win32 guarantees atomicity only for properly-aligned 4-byte and pointer-sized values. bool is not guaranteed to be one of those types. (It is typically a 1-byte type.) For those who demand an actual example of how this could fail: Suppose that bool is a 1-by...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/8290768', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/888051/']}
jdg_382724
stackexchange
llm_judgeable_groundtruth_similarity
4682642
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 GoDaddy-issued code signing certificate in a .spc file. Also, I have a private key in .key file. The code signing has been issued some 13 months ago, then it expired...
In the end I managed to figure out a procedure that works. Here are the steps to generate a new PFX and CER code signing certificate from SPC and KEY files: Obtain your new CodeSign.spc certificate from GoDaddy. Export a PEM-formatted private key from the expired PFX: openssl.exe pkcs12 -in CodeSign.pfx -nocerts -out C...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/4682642', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/245183/']}
jdg_382725
stackexchange
llm_judgeable_groundtruth_similarity
6347694
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 see myself doing the following code for default assigment all the type on PHP $variable = $variable ? $variable : 'default value'; I know that with 5.3 I can do $variable =...
You cannot create new operators in PHP without changing the PHP source. And you don't want to change it, trust me. Sure, it'd be easy enough - PHP is open source and uses a straightforward LALR(1) parser which you could easily modify - but that would make your code incompatible with the standard PHP implementation. You...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/6347694', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/603897/']}
jdg_382726
stackexchange
llm_judgeable_groundtruth_similarity
4359274
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 $\mu$ is a signed measure on $(\Omega,\mathcal{A})$ , a measurable space, then $E \in \mathcal{A}$ is positive if $\mu{(F)}\geq0$ (and negative if $\mu{(F)}\leq0$ ) w...
The identity you are trying to prove is linear in the polynomial $p$ (where $p$ ranges over the elements of the vector space $\mathbb{R}_n[x]$ of polynomials of degree at most $n$ ), it's also an easy fact that $\mathbb{R}_n[x]$ has a basis $\{1,\frac{x}{1!},\frac{x(x-1)}{2!},\frac{x(x-1)(x-2)}{3!},....\} $ . Thus it s...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/4359274', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/761771/']}
jdg_382727
stackexchange
llm_judgeable_groundtruth_similarity
1096595
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 done a website whose URL is http://www.netbramha.com Unfortunately after the end of each page, I have the following piece getting added <iframe src="" width=186 height...
If proc.StartInfo.UseShellExecute is false , then you are launching the process and can use: proc.StartInfo.CreateNoWindow = true; If proc.StartInfo.UseShellExecute is true , then the OS is launching the process and you have to provide a "hint" to the process via: proc.StartInfo.WindowStyle = ProcessWindowStyle.Hidden;...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/1096595', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/129308/']}
jdg_382728
stackexchange
llm_judgeable_groundtruth_similarity
20268
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: Guillemin and Sternberg wrote the following in 1987 in a short article called "Some remarks on I.M. Gelfand's works" accompanying Gelfand's Collected Papers, Volume I : The th...
A difference between what Gel'fand did and what the Germans were doing is that in 1930s-style algebraic geometry you had the basic geometric spaces of interest in front of you at the start. Gel'fand, on the other hand, was starting with suitable classes of rings (like commutative Banach algebras) and had to create an ...
{}
{'log_upvote_score': 5, 'links': ['https://mathoverflow.net/questions/20268', 'https://mathoverflow.net', 'https://mathoverflow.net/users/1119/']}
jdg_382729
stackexchange
llm_judgeable_groundtruth_similarity
18089952
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 Xerial's Sample class to work in Eclipse with sqlite, but I keep getting the error "ClassNotFoundException: org.sqlite.JDBC" I downloaded the sqlite-jdbc-3...
Thanks to user phew for the help/ideas. I missed the obvious command line instructions on Xerial's site for the Sample program . To get the program to run from the command line, I had to copy the JAR file into the same folder as the .CLASS file. Then run the following command: java -classpath ".:sqlite-jdbc-(VERSION).j...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/18089952', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2646175/']}
jdg_382730
stackexchange
llm_judgeable_groundtruth_similarity
27735706
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 learning Docker and I have doubts about when and where to use ADD and VOLUME . Here is what I think both of these do: ADD Copy files to the image at build time. The imag...
ADD The fundamental difference between these two is that ADD makes whatever you're adding, be it a folder or just a file actually part of your image . Anyone who uses the image you've built afterwards will have access to whatever you ADD . This is true even if you afterwards remove it because Docker works in layers and...
{}
{'log_upvote_score': 9, 'links': ['https://Stackoverflow.com/questions/27735706', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2118130/']}
jdg_382731
stackexchange
llm_judgeable_groundtruth_similarity
314820
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 do you prove that the Sobolev space $H^s(\mathbb{R}^n)$ is an algebra if $s>\frac{n}{2}$, i.e. if $u,v$ are in $H^s(\mathbb{R}^n)$, then so is $uv$? Actually I think...
Note that$$\begin{split}(1+|\xi|^2)^p&\leq (1+2|\xi-\eta|^2+2|\eta|^2)^p\\&\leq 2^p(1+|\xi-\eta|^2+1+|\eta|^2)^p\\&\leq c(1+|\xi-\eta|^2)^p + c(1+|\eta|^2)^p,\end{split}$$for $p>0$, where $c=\max\{2^{p},2^{2p-1}\}$. Put $\langle\xi\rangle=\sqrt{1+|\xi|^2}$.Then we have$$\begin{split}\langle\xi\rangle^s |\widehat{uv}(\x...
{}
{'log_upvote_score': 6, 'links': ['https://math.stackexchange.com/questions/314820', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/52330/']}
jdg_382732
stackexchange
llm_judgeable_groundtruth_similarity
946804
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: What is the recommended way to figure out if a user got a certain right (e.g. select or execute) on a certain class (e.g. table or function) in PostgreSQL? At the moment I go...
I've found that a better approach (and I seem to remember this was taken from some queries built into psql, or maybe the information_schema views) is to use the has_*_privilege functions, and simply apply them to a set of all possible combinations of user and object. This will take account of having access to an object...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/946804', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/24044/']}
jdg_382733
stackexchange
llm_judgeable_groundtruth_similarity
15806152
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I would like to use the grunt-contrib-jasmine NPM package. It has various dependencies. Part of the dependency graph looks like this: ─┬ grunt-contrib-jasmine@0.4.1 │ ├─┬ gru...
You can use npm shrinkwrap functionality, in order to override any dependency or sub-dependency. I've just done this in a grunt project of ours. We needed a newer version of connect, since 2.7.3 . was causing trouble for us. So I created a file named npm-shrinkwrap.json : { "dependencies": { "grunt-contrib-connect"...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/15806152', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5168/']}
jdg_382734
stackexchange
llm_judgeable_groundtruth_similarity
39894660
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: How do I create the div logo, as per the attached image below: This is what I have created in JsFiddle Main issue is how do I connect the two boxes with the shape as below im...
Considering the hassle of aligning and making double curves with CSS , this is clearly a job for SVG. The curves are much easier to create and control. Here is an example using : Inline SVG quadratic bezier curves transform the use element so there is only one occurrence of the path tag svg{ display:block; width:40%; m...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/39894660', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/5337466/']}
jdg_382735
stackexchange
llm_judgeable_groundtruth_similarity
4428309
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 $-1 \leq x \leq 1$ , what is the maximum value of $x+\sqrt{1-x^2}$ ? (Cannot use calculus method) As stated in the problem, I can't use calculus. Therefore, I'm using...
Substitute $$x = \sin \theta$$ The expression is $$x + \sqrt{-x^2 + 1} = \sin \theta + |\cos \theta|$$ We want to find the max. value of $\sin \theta + |\cos \theta|$ . Now, two cases: $\cos \theta < 0$ and $\cos \theta \geq 0$ . $$\textbf{Case 1:} \cos \theta < 0$$ We need to find the max. value for $\sin \theta - \co...
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jdg_382736
stackexchange
llm_judgeable_groundtruth_similarity
82165
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 need to drop all the tables in a database without knowing their names beforehand. The typical procedure is to drop and then recreate the database but this is not an option. W...
There is a simpler bash one-liner using mysqldump (from Thingy Ma Jig Blog ). mysqldump -u[USERNAME] -p[PASSWORD] --add-drop-table --no-data [DATABASE] | grep ^DROP | mysql -u[USERNAME] -p[PASSWORD] [DATABASE] If you're getting this error: ERROR 1217 (23000) at line 1: Cannot delete or update a parent row: a foreig...
{}
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jdg_382737
stackexchange
llm_judgeable_groundtruth_similarity
2473089
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I have a question on combinatorics, related to the pigeonhole principle: Consider the set $S= \{1,2,3,...,100\}$. Let $T$ be any subset of $S$ with $69$ elements. Then p...
Well, I just realized that I’ve seen this problem days ago... the solution goes like this: Let the numbers in $T$ be $1\le a_1<a_2<...<a_{69}\le 100$. Clearly, $a_1\le 32$. Now, consider the sequences$$b_n:=a_n+a_1, 3\le n\le 69$$$$c_n:=a_n-a_2, 3\le n\le 69 $$ Apparently, $1 \le b_i,c_i\le 132$. Since the two sequence...
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jdg_382738
stackexchange
llm_judgeable_groundtruth_similarity
10889810
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 RhinoMocks, you can just tell your mocks to IgnoreArguments as a blanket statement. In Moq, it seems, you have to specify It.IsAny() for each argument. However, this doe...
As you already figured out the problem is with your ref argument. Moq currently only support exact matching for ref arguments, which means the call only matches if you pass the same instance what you've used in the Setup . So there is no general matching so It.IsAny() won't work. See Moq quickstart // ref argumentsvar ...
{}
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jdg_382739
stackexchange
llm_judgeable_groundtruth_similarity
38942
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: Assume we are given two parallelograms in the plane. How can I check if their intersection is nonempty? Note that I do not need to actually find the intersection. Now provide...
Given two convex sets $A$ and $B$ in a vector space, their intersection is not empty iff the difference set $A-B=\{p-q|p\in A, q\in B\}$ contains the origin. In your setting the difference set is the convex hull of 16 points. Actually 8 of them are enough and you have to check that 0 is on the same side of any of the 8...
{}
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jdg_382740