text stringlengths 1 1.11k | source dict |
|---|---|
java, game, community-challenge, pathfinding
return result;
}
/**
* Determines whether at least one of the velocity components (row or
* column component) points away from the goal.
* @param position The current position
* @param velocity The velocity
* @param goal The target position... | {
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"tags": "java, game, community-challenge, pathfinding",
"url": null
} |
c++, algorithm, graph, c++17
Algorithm:
My algorithm generates disconnected nodes first, sorted by their indices. Memory for neighbor indices is managed semi-manually, because I believe that on smaller neighbor count standard memory allocator becomes less efficient (to be checked). Satisfied nodes are the ones which h... | {
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"tags": "c++, algorithm, graph, c++17",
"url": null
} |
complexity-theory, formal-languages, time-complexity
Title: Why isn't DIV necessarily in P? In my formal languages class, we discussed DIV, defined as following:
$\mathrm{DIV} = \{\langle a,b\rangle : \text{$a, b \in N$ and $a$ has a divisor $d$ for some $1 < d \leq b$ }\}$
($\langle\cdot\rangle$ means encoded, let's ... | {
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$$\texttt{Second case}$$:
The probability that a white marble has been drawn from urn A is $$\frac{y}{x+y}$$. Then you have still $$z$$ red marbles in urn B and $$z+v+1$$ marbles in total. The probability to draw a red marble from urn B then is $$\frac{z}{z+v+1}$$
Therefore the probability that hat the second marble ... | {
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"ta... |
java, object-oriented, minesweeper
and our board would know if a location is inside the board
class Board{
boolean isInside(Location location){//you know when its inside}
Cell getCellAt(Location location){//again: trivial};
}
that would reduce complexity of your method (and increase readability strongly)
prot... | {
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You made a mistake while solving $$b$$. Specifically, $$b=1$$. As such, $$a^2-4a-5 = (a-5)(a+1)=0 \implies a = -1,5.$$
Regarding $$x_2 < x_4 < x_3 < x_1$$, you could argue by using the following argument.
Note that one of the roots is the minimum among them. Say that is $$x_2$$. Since $$x_1 + x_2 = a = x_3 + x_4,$$ w... | {
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"tag... |
optics, geometric-optics
Edit
I decided to move these up to my answer to avoid a prolonged comment conversation.
Your edits do help, but still do not provide enough specificity. If the viewport is coincident with the wall (that is with no collimating effect), it would be possible to see the lightbulb so it would certa... | {
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"tags": "optics, geometric-optics",
"url": null
} |
cnn, feature-selection, faster-rcnn
Which is from this paper: https://arxiv.org/pdf/1312.4400.pdf | {
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"tags": "cnn, feature-selection, faster-rcnn",
"url": null
} |
evolution
Title: Has medical progress stopped human evolution? We can cure many diseases nowadays, and thus the natural selection is very limited.
Plus, mankind spent the whole beginning of its existence in almost the same hostile environment, and that's where he evolved the most, whereas our environment is changing v... | {
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"id": 1040,
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"tags": "evolution",
"url": null
} |
general-relativity, lagrangian-formalism, resource-recommendations, variational-principle, geodesics
For non-relativistic velocity the contribution of spatial curvature can be treated as negligable.
For the time curvature aspect: difference in amount of proper time that elapses and difference in gravitational potentia... | {
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"tags": "general-relativity, lagrangian-formalism, resource-recommendations, variational-pr... |
ros, ros-hydro, rosrun, ros-package-path, pluginlib
Title: rosrun ambiguities after migrating to hydro
I'm currently migrating from fuerte to hydro (on an Ubuntu 12.04).
In a first step, I kept all my old packages dry and managed to build them in hydro.
Running the system on the other hand seems to be more complicate... | {
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"tags": "ros, ros-hydro, rosrun, ros-package-path, pluginlib",
"url": null
} |
While cardinal has answered the question, I wanted to add a little something extra. The Cauchy-Schwarz inequality shows that $\left|\operatorname{Cov}(X,Y)\right|\leq \sqrt{\operatorname{Var}(X)\operatorname{Var}(Y)}$, with equality if and only if $X$ and $Y$ are linearly dependent. In general, you can take the ratio $... | {
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"lm_q1_score": 0.9773707986486797,
"lm_q1q2_score": 0.8058050135458591,
"lm_q2_score": 0.8244619285331332,
"openwebmath_perplexity": 570.8981582830204,
"openwebmath_score": 0.9024236798286438,
"tag... |
electrostatics, potential, method-of-images
The basic justification for the method of images is the uniqueness theorems for BVPs with Neumann boundary conditions--it doesn't matter how you find a solution to Poisson's equations with given boundary conditions, so long as you find a potential that solves Poisson's equat... | {
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"tags": "electrostatics, potential, method-of-images",
"url": null
} |
special-relativity, energy, momentum, metric-tensor, vectors
-\gamma m\\v \gamma m\\0\\0\end{pmatrix}=-\gamma^2 m^2+v^2 \gamma^2 m^2-v \gamma^2 m^2+v \gamma^2 m^2=-\gamma^2 m^2+v^2 \gamma^2 m^2$$
Now
$$
p_\mu p^\mu=\gamma^2 (-m^2+v^2 m^2)
$$
I can see how the $-m^2$ arises, but not how it is the only term. Furthermore... | {
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"tags": "special-relativity, energy, momentum, metric-tensor, vectors",
"url": null
} |
c++, c++11, multithreading, producer-consumer
#include <iostream>
#include <random>
#include <mutex>
std::mutex mtx;
#include <thread>
Don't mix includes and code, makes it easy to miss those globals you're defining in the middle. Keep the headers by themselves sorted in some order or grouped logically/by function ... | {
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"tags": "c++, c++11, multithreading, producer-consumer",
"url": null
} |
gpu, distributed, pytorch
Title: What is the difference between Pytorch's DataParallel and DistributedDataParallel? I am going through this imagenet example.
And, in line 88, the module DistributedDataParallel is used. When I searched for the same in the docs, I haven’t found anything. However, I found the documentati... | {
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Next: 7.4 Numerical derivatives Up: 7. Workhorses of Computational Previous: 7.2.2 Newton's Method and Contents
Gus Hart 2005-01-28 | {
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... |
# What is the polynomial representation of the Hamming weight function?
For any function $$f: \{1,-1\}^n \rightarrow \{1,-1\}$$, there is a unique multilinear polynomial $$p \in \mathbb{R}[x_1,\dots, x_n]$$ for which $$p(x)=f(x)$$ for all $$x \in \{1,-1\}^n$$ (see e.g. Lemma 4.1 here). I will call this the polynomial ... | {
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"lm_q1_score": 0.9822876992225168,
"lm_q1q2_score": 0.8462783802960688,
"lm_q2_score": 0.8615382040983516,
"openwebmath_perplexity": 93.86805917994499,
"openwebmath_score": 0.9845046401023865,
"tag... |
# Australian School of Excellence 2015 Number Theory Exam
• Each question is worth 7 marks
• Time allowed is 4 hours
• No books, notes or calculators permitted
1) Prime numbers $p$, $q$ and $r$ satisfy the following two conditions.
$p + q < 111 \quad \text{and} \quad \dfrac {p+q}{r} = p - q + r.$
Find the largest... | {
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"lm_q2_score": 0.8267117855317474,
"openwebmath_perplexity": 1396.951819245274,
"openwebmath_score": 0.9944376945495605,
"tag... |
d2 = 0. close, link Click here to edit contents of this page. code. The distance from this point to the other plane is the distance between the planes. Thus, the distance between two parallel lines is given by – d = | \vec{PT} |. I then measure a plane on the non-datum feature dimension the distance and parallelism per... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9539660976007596,
"lm_q1q2_score": 0.8070004001563397,
"lm_q2_score": 0.8459424314825852,
"openwebmath_perplexity": 493.2718904415889,
"openwebmath_score": 0.478618860244751,
"tags": null... |
javascript, performance, sorting
Some partially-implemented code for this approach might look like:
var output = {};
for(var i = 0, len = data.length; i < len; i++) {
var el = data[i];
var group = el.source;
var insert = { 'id': el.id };
if(group in output) {
// perform sorted insert into array... | {
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"tags": "javascript, performance, sorting",
"url": null
} |
linear-systems, transfer-function, control-systems, step-response, simulink
You could design your controller to cancel the slow pole at -2.4248 and the slowish zero at -34.2. This would be a lead lag compensator looking like this
$$H_{LeadLag} = K\frac{s + 2.4248}{s+34.2}$$
Then you could set a PI in series with the l... | {
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"tags": "linear-systems, transfer-function, control-systems, step-response, simulink",
"url": ... |
php, classes, security
if (is_object($pdo)) {
if (!($pdo instanceof PDO)) {
throw Exception('Illegal Argument: Supplied argument is not a PDO object.');
}
#The function accepts an external PDO object as an argument.
#WARNING: Do not us... | {
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"id": 1184,
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"tags": "php, classes, security",
"url": null
} |
java, strings, lambda, column
In addLine() it may be sensibe to disallow lines with zero items. I can't see any immediate problems for that edge case, but it would avoid potential future problems.
An else between the two if would be good, because the two cases are exclusive.
The filling of maxLength could be done with... | {
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"tags": "java, strings, lambda, column",
"url": null
} |
Penny Find the measure of the smallest angle (in degrees) Interior angles of a triangle add up to 180 degrees so 180 - 125 = 55 degrees.....the measure of the 3rd angle Every triangle has six exterior angles (two at each vertex are equal in measure). To find angle ‘b’, we subtract both 50° angles from 180°. The angles ... | {
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"lm_q1_score": 0.9881308768564867,
"lm_q1q2_score": 0.8585145726310375,
"lm_q2_score": 0.8688267847293731,
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"openwebmath_score": 0.5129854083061218,
"tags": null,
... |
Another way to do this is note for the sequence $x_n=(1-1/n)$ we have $x_n\rightarrow 1$ as $n\rightarrow \infty$ and $f_n(x_n)=(1-1/n)^n\rightarrow 1/e$ as $n\rightarrow \infty$. So for $\varepsilon =1/4$ we have $\lim\limits_{n\rightarrow\infty}|f_n(x_n)-f(x_n)|=|\lim\limits_{n\rightarrow \infty}f_n(x_n)-\lim\limits_... | {
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"id": null,
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9790357597935575,
"lm_q1q2_score": 0.8137187633096499,
"lm_q2_score": 0.831143045767024,
"openwebmath_perplexity": 121.17487264679937,
"openwebmath_score": 0.9274300336837769,
"tag... |
of the wheel, AND the moment created is enough to spin the wheel. 5, having been released from rest somewhere along the straight section of the track. "Rolling resistance " which slows the wheel is a completely different force. There are several assumptions to simplify the analysis of rolling objects: Homogeneous rigid... | {
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"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9817357237856482,
"lm_q1q2_score": 0.8597913633963247,
"lm_q2_score": 0.8757869786798663,
"openwebmath_perplexity": 406.11801210474823,
"openwebmath_score": 0.5616315007209778,
"tags"... |
c, homework, embedded
/*
* If no buttons are currently pushed return the current toggle value.
*/
current_pin_read = (current_pin_read)? current_pin_read : toggle;
return current_pin_read;
} | {
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} |
If a 0 face value was allowed, shift one factor of x from one polynomial to the other. This can be done two ways.
The first possibility has dice with faces {9, 7, 6, 5, 4, 2} and {3, 2, 2, 1, 1, 0}, and the second has faces {7, 5, 4, 3, 2, 0} and {5, 4, 4, 3, 3, 2}, giving the only other two non-negative solutions to... | {
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"openwebmath_score": 0.803494930267334,
"tags": n... |
complexity-theory, time-complexity, randomized-algorithms, p-vs-np, np-intermediate
Suppose that for all functions $\hspace{.04 in}f$ in $\omega(1)$, NP $\subseteq$ DTIME$\left[\hspace{-0.02 in}n^{\hspace{.04 in}f(n)}\hspace{-0.03 in}\right]$ .
Does it follow that P = NP ?
Yes, since as described in this ans... | {
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"tags": "complexity-theory, time-complexity, randomized-algorithms, p-vs-np, np-intermediate",
... |
php, object-oriented
/*
*function to get the image filepath, runs through the files the outputs then in an array
*
*/
public function getimage_Filepath() {
$image_files = get_files($imageFilepath);
if (count($image_files)) {
$index = 0;
foreach($image_files as $index=>$file)
$index++; ... | {
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"tags": "php, object-oriented",
"url": null
} |
c++, object-oriented, numerical-methods, factory-method
Yea, that's simply wrong. You need to give both that CPP file and the main.cpp file to the compiler, so it knows that both are part of the program to build.
Don’t write using namespace std;.
You can, however, in a CPP file (not H file) or inside a function put ... | {
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"tags": "c++, object-oriented, numerical-methods, factory-method",
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Now, employ proof by contradiction to show pr 2 is irrational. Lecture Slides By Adil Aslam 32. Let EˆRn and assume that Eis path connected. 59 Responses to "When is proof by contradiction necessary?" For me, the purest examples of proofs by contradiction are those of the "non self-defeating object" type, where the exi... | {
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"openwebmath_score": 0.7787... |
and a speed. For example, the DFT is used in state-of-the-art algorithms for multiplying polynomials and large integers together; instead of working with polynomial multiplication directly, it turns out to be faster to compute the. This chapter exploit what happens if we do not use all the !'s, but rather just a nite s... | {
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"lm_q2_score": 0.843895100591521,
"openwebmath_perplexity": 667.7838063531566,
"openwebmath_score": 0.855606734752655,
"tags": nul... |
python, python-3.x, game
Interaction was left pretty direct without much abstraction, but I didn't want to be too premature about that. In a larger app, you might want to move the inner while loop out to a generic function that asks for input until a valid response is given.
For some text interaction applications like... | {
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} |
classical-mechanics
Consider a train which is initially at rest, then accelerates for a certain time period and finally moves with a constant velocity. Now, consider a passenger in the train.
In the ground frame: When the train is at rest there is no net external horizontal force on the passenger, therefore the passe... | {
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"tags": "classical-mechanics",
"url": null
} |
That 's used to discover all possible prime numbers if the sieve provides a very efficient method for prime... And astronomer at Alexandria this method this algorithm is very simple to the... Using sieve of eratosthenes pronunciation of Eratosthenes sieve on pronouncekiwi million c++ ups to utilize prime, and then iden... | {
"domain": "whitewolfcreative.tv",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9744347868191549,
"lm_q1q2_score": 0.8262892874801815,
"lm_q2_score": 0.847967764140929,
"openwebmath_perplexity": 612.2723183523948,
"openwebmath_score": 0.6113751530647278,
"t... |
c++, algorithm, strings, c++11
std::cout << "odd: " << odd.val() << '\n';
std::cout << "even: " << even.val() << '\n';
std::cout << "letters: " << letters.val() << '\n';
}
All in all, I'm not very happy with this approach, even though I'm suggesting it :/. It's incredibly long compared to your code, though a ... | {
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"tags": "c++, algorithm, strings, c++11",
"url": null
} |
black-holes, mass, dark-matter, galaxy-rotation-curve
For that reason it is perfectly feasible to use Kepler's third law to model the dynamics of gas and stars close to the centre of a galaxy and use this to estimate the mass of the central black hole. Of course you do have to take into account that at each radius on ... | {
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"openwebmath_score": null,
"tags": "black-holes, mass, dark-matter, galaxy-rotation-curve",
"url": null
} |
quantum-mechanics, quantum-field-theory, commutator, second-quantization, bosons
$$ [A_n,\Pi_n] = i\hbar \delta_{n,m},\quad [A_n, A_m] = [\Pi_n, \Pi_m] = 0. $$
He also states that if we are worried by the fact that $A_n$ and $\Pi_n$ are complex numbers, we can use the following definitions
$$ A_n = \sqrt{N_n} e^{i... | {
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"tags": "quantum-mechanics, quantum-field-theory, commutator, second-quantization, bosons",... |
javascript
Framework.prototype = {
constructor: Framework,
ready: function(func) {
// ...
},
click: function(func) {
// ...
}
};
The code that inspects the selector and calls querySelectorAll or getElementById is completely redundant and unneeded. If this.sel is a string, just bl... | {
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"id": 10228,
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"tags": "javascript",
"url": null
} |
Forum Staff
What was the exact wording of the problem, including any indication of how many marks were available, and any preamble for the entire test? Was the entire test about triangles?
If you give a congruency statement, such as $\small\triangle \text{ABC} \cong \triangle \text{CHA}$ (ASA), give the letters repres... | {
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"lm_q2_score": 0.8479677622198947,
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"openwebmath_score": 0.6687724590301514,
"tags":... |
vectors, refraction, geometric-optics
(scalar) product of vectors $\textbf{n}$ and $\textbf{i}$.
References: | {
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"tags": "vectors, refraction, geometric-optics",
"url": null
} |
cosmology, higgs, dark-matter, dark-energy
Two nearby stars will both have a halo, so now the interactions are not only star -- star (gravity) but also halo -- star, star -- halo and halo -- halo. The halo -- star attraction might contribute to dark matter, while the halo -- halo interaction is even more unclear and m... | {
"domain": "physics.stackexchange",
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"tags": "cosmology, higgs, dark-matter, dark-energy",
"url": null
} |
python, php, image, laravel
The above code works.
In the future, I might need to do even more image manipulation such as noise removal, skew correction, etc.
My final goal is to use Tesseract OCR on the preprocessed image to grab the text content of the image.
Now I am sure I could achieve similar results, for example... | {
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"openwebmath_score": null,
"tags": "python, php, image, laravel",
"url": null
} |
terminology, microscopy
Title: What does fluorogenic mean for fluorescent probes? Many fluorescent probes are described as being fluorogeninc as an advantage for fluorescence microscopy but what does fluorogenic mean? Dictionary definitions state that it means generating fluorescence, but i've read somewhere that it i... | {
"domain": "biology.stackexchange",
"id": 6517,
"lm_label": null,
"lm_name": null,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "terminology, microscopy",
"url": null
} |
java, xml, parsing
public class Main {
static class openXML{
private int employeeNumber;
private String employeeName;
void getEmployee(int i){
String[] xmlStr = xmlLoader(i);
setEmployeeName(xmlStr[0]);
setEmployeeNumber(xmlStr[1]);
}
v... | {
"domain": "codereview.stackexchange",
"id": 1655,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, xml, parsing",
"url": null
} |
javascript, ecmascript-6, asynchronous, react.js, axios
Title: Disabling a form button while there's an http request running I have a form built with react, formik and yup, and this form has some async validations. Apparently, some users were able to bypass these validations, and to prevent some errors, I wanted to di... | {
"domain": "codereview.stackexchange",
"id": 36698,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "javascript, ecmascript-6, asynchronous, react.js, axios",
"url": null
} |
organic-chemistry, extraction, drugs
Title: Is scopolamine same as scopolamine hydrobromide? Is scopolamine extracted with methanol or acetone from Datura or Brugmansia scopolamine free base or scopolamine hydrobromide?
If you take a look at the Wikipedia page for hyoscine, the Synonyms part lists scopolamine hydrobro... | {
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"tags": "organic-chemistry, extraction, drugs",
"url": null
} |
We then obtain the following variant of Theorem 32 or Theorem 30:
Theorem 45 (Arithmetic large sieve) Let ${Q \geq 1}$. For each prime number ${p \leq Q}$, let ${E_p}$ be the union of ${\omega(p)}$ residue classes modulo ${p}$, where ${\omega(p) < p}$ for all ${p}$. Then for any ${M \in {\bf Z}}$ and natural number ${... | {
"domain": "wordpress.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9886682444653242,
"lm_q1q2_score": 0.8012947666000314,
"lm_q2_score": 0.8104789155369048,
"openwebmath_perplexity": 248.19796379327,
"openwebmath_score": 0.9931489825248718,
"tags": nu... |
special-relativity, time-dilation
Example: A spaceship is travelling a distance of 8 Lmin (Earth reference frame) within 10 minutes (Earth reference frame), yielding a velocity of 0,8 c (Earth reference frame).
The point of view of the space ship is following from the proper time formula and the Lorentz contraction f... | {
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"tags": "special-relativity, time-dilation",
"url": null
} |
python, catkin-make
2 directories, 6 files
The content of my __init__.py looks like this
from coordinate import Coordinate
The content of my setup.py
## ! DO NOT MANUALLY INVOKE THIS setup.py, USE CATKIN INSTEAD
from distutils.core import setup
from catkin_pkg.python_setup import generate_distutils_setup
# fetch v... | {
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"tags": "python, catkin-make",
"url": null
} |
organic-chemistry
Title: Why is there no reaction? I am working on a practice problem with p-iodotoluene and $\ce{CH3O-}$ in $\ce{CH3OH}$ at $\mathrm{25^{\circ}C}$. Another reaction is run which is identical except there is heat and pressure. Neither of these scenarios produce a reaction according to the answer key. W... | {
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"id": 7538,
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"tags": "organic-chemistry",
"url": null
} |
regex = StringRiffle[Characters[Last@rows], {"^[^", "][^", "]$"}]; perms = Flatten@ DeleteCases[StringCases[perms, RegularExpression[regex]], {}]; AppendTo[rows, RandomChoice[perms]]; , 3] (matrix = Characters[rows]) // MatrixForm The permutations, perms, rows are saved as strings. Use a regular expression to remove pe... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9744347875615794,
"lm_q1q2_score": 0.8141242249843987,
"lm_q2_score": 0.8354835391516132,
"openwebmath_perplexity": 2877.816965549412,
"openwebmath_score": 0.9927718043327332,
"tag... |
# Set of Discontinuities of arbitrary function is F sigma set
I am trying to prove that, given an arbitrary function $f$, the set of discontinuities of $f$, denoted $D_f=[{x\in{\Bbb{R}}:\mbox{f is not continuous at$x$}}$], is a $F_\sigma$ set - that is, a countable union of closed sets. This question may have been ask... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9877587248883691,
"lm_q1q2_score": 0.827366424921194,
"lm_q2_score": 0.837619961306541,
"openwebmath_perplexity": 153.8846918124137,
"openwebmath_score": 0.9614963531494141,
"tags"... |
clojure, brainfuck
:movement :moving-forward)
\- (assoc interpreter-state
:reader-position (inc reader-position)
:cells (assoc cells cell-pointer (dec (nth cells cell-pointer)))
:movement :moving-forward)
\> (... | {
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"openwebmath_score": null,
"tags": "clojure, brainfuck",
"url": null
} |
quantum-mechanics, homework-and-exercises, harmonic-oscillator, hilbert-space
From the two previous properties we know $n\in\mathbb{N}$, because if $|n\rangle$ is an eigenvector of $N$, so $a|n\rangle$ is, with eigenvalue $n-1$; also $a^2|n\rangle$ is an eigenstate with eigenvalue $n-2$, and so on. All possible $n-m$... | {
"domain": "physics.stackexchange",
"id": 10259,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "quantum-mechanics, homework-and-exercises, harmonic-oscillator, hilbert-space",
... |
python, python-3.x, recursion
Since I've added a __hash__ method to the immutable Brewery class, the breweries make perfect dictionary keys; we don't have to look up distances by indices. This allows us to ...
breweries = [brewery for brewery in breweries if distance_to_home[brewery] * 2 <= max_distance]
... re... | {
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"lm_q1q2_score": null,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, python-3.x, recursion",
"url": null
} |
LIVE Classes, Online Test & more for Class 6 to12, JEE. Functions: 1. Activity overview. y tan(2 x) 3. 88 Definite Integrals and Antiderivatives • Properties of definite integrals 5. Mendham Calculus Limits Quiz Name the Calculus Quiz. Course Description. 2 - Title: Calculus 5. 2 2 1 1 x dx x 21. 3 (Volumes by Cylindri... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9893474897884492,
"lm_q1q2_score": 0.8156793351532198,
"lm_q2_score": 0.8244619242200082,
"openwebmath_perplexity": 1305.6623628539103,
"openwebmath_score": 0.848722517490387,
"tags... |
base times the height: Area = b × h (h is at right angles to b) Example: A parallelogram has a base of 6 m and is 3 m high, what is its Area? A parallelogram is a quadrilateral made from two pairs of intersecting parallel lines. There are several rules involving: the angles of a parallelogram ; the sides of a parallelo... | {
"domain": "iecsingapore.org",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9805806540875628,
"lm_q1q2_score": 0.8062227575270571,
"lm_q2_score": 0.8221891327004132,
"openwebmath_perplexity": 717.6941166780283,
"openwebmath_score": 0.7164480686187744,
"... |
c++, windows, snake-game, winapi
int WINAPI WinMain(HINSTANCE hInstance, HINSTANCE hPrevInstance, LPSTR lpCmdLine, int nCmdShow)
{
const TCHAR szClassName[] = TEXT("MyClass");
WNDCLASS wc;
HWND hWnd;
MSG msg;
wc.style = CS_HREDRAW | CS_VREDRAW;
wc.lpfnWndProc = WndProc;
... | {
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c++, windows, snake-game, winapi",
"url": null
} |
quantum-mechanics, energy, schroedinger-equation, potential, discrete
Title: 1D Infinite Square Box Discrete Energy levels but Continous Momenta? In the 1d particle in the box the energy of the particle should be completely determined by the momentum of the particle that you observe correct? So how can you have discre... | {
"domain": "physics.stackexchange",
"id": 17024,
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"tags": "quantum-mechanics, energy, schroedinger-equation, potential, discrete",
"url": n... |
ros, navigation, extended-kalman-filter, ros-kinetic, robot-localization
Originally posted by hobbeshunter on ROS Answers with karma: 3 on 2018-05-24
Post score: 0
It's mainly because velocities in ROS are commonly reported in the robot's body frame. The nav_msgs/Odometry message provides different frame_ids for the ... | {
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"id": 30896,
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"tags": "ros, navigation, extended-kalman-filter, ros-kinetic, robot-localization",
"url... |
fft, phase, quadrature
$$ y(\phi_2-\phi_1) = \frac{A^2}{2}\sin(\phi_2-\phi_1)$$
$$ y(\Delta\phi) = \frac{A^2}{2}\sin(\Delta\phi)$$
A very efficient way to implementing either of the above approaches digitally is by hard limiting the input signal which reduces the above to a simple XOR of the most significant bit of th... | {
"domain": "dsp.stackexchange",
"id": 8670,
"lm_label": null,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "fft, phase, quadrature",
"url": null
} |
nuclear-physics, radiation, randomness
I think I need to clarify my question so that it gets interpreted at a knowledge level appropriate for learning to occur:
All my question really amounts to is: does photonic radiation modulate the empirical frequency of atomic random walks by producing, on a single atom with no n... | {
"domain": "physics.stackexchange",
"id": 74237,
"lm_label": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "nuclear-physics, radiation, randomness",
"url": null
} |
image-processing, transfer-function, image-registration
I have the real set of coordinates that i can relate to from picture 2 to picture 1 , i only need to transform the coordinates of the moving subject, not the whole picture.
I tried using polynomial regression in order to approximate the right transformation, but... | {
"domain": "dsp.stackexchange",
"id": 2504,
"lm_label": null,
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"tags": "image-processing, transfer-function, image-registration",
"url": null
} |
python, python-3.x, random, console
improvements on various details, but I was quickly overwhelmed by the
complexity and opacity of the code. A few examples. (1) What is COUNTS? The
constant name is generic, there are no comments to provide clues, the data
structure is is almost (but not quite) parallel to CHARSETS, a... | {
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"tags": "python, python-3.x, random, console",
"url": null
} |
hilbert-space, tensor-calculus
According to the previous definition, it should give:
$$\sum_j(A⊗B)_j⊗(C⊗D)_j$$
but I'm in trouble understanding what does it mean, if it means anything at all. Is $(A⊗B)_j$ simply $A_j⊗B_j$? There is no general notion of inner products between operators. However, if $\mathbf A:=(A_1,A_... | {
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"id": 80716,
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"tags": "hilbert-space, tensor-calculus",
"url": null
} |
0} \frac { f(x) - g(x) } { g^{-1}(x) - f^{-1}(x) }$$ for any two analytic around 0 functions $f,g$ with $f(0)=g(0)=0$ and $f'(0)=g'(0)=1$, which you can easily prove by looking at the power expansions of $f$ and $f^{-1}$ or, in the case of Barrow, by looking at the graph.</p> <p>End of Apr 8 2010 edit <hr> Beg of Apr 9... | {
"domain": "mathoverflow.net",
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"lm_q1_score": 0.9840936054891429,
"lm_q1q2_score": 0.8022650731317889,
"lm_q2_score": 0.8152324826183822,
"openwebmath_perplexity": 1032.683736208798,
"openwebmath_score": 0.8992882966995239,
"tags... |
c#, performance, generics, lambda, rags-to-riches
Looks better, doesn't it? ;-)
GetterCache = new ReadOnlyDictionary<string, Func<T, object>>(properties.Select(propertyInfo => new
{
...
})
Another unecessarily long line. A dictionary implements the IReadOnlyDictionary interface. If we change the type of the Gett... | {
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"openwebmath_score": null,
"tags": "c#, performance, generics, lambda, rags-to-riches",
"url": null
} |
javascript, performance, node.js
This appears to be a very brittle convention. It assumes the styles live in a specific directory. Not following the convention, it might lead to more unsynced files. You need a more robust way to handle this. For instance, ID'ing the file using its path.
fs.access('./content/userstyles... | {
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"tags": "javascript, performance, node.js",
"url": null
} |
general-relativity, metric-tensor, curvature, stress-energy-momentum-tensor, geodesics
Is the value of the Ricci scalar $$R$$ always equal to zero in one dimension?
What is the form of the metric tensor $$g_{\mu \nu}$$ for one dimension? Is it just a scalar?
What is the form of the stress-energy-momentum tensor $$T_... | {
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"tags": "general-relativity, metric-tensor, curvature, stress-energy-momentum-tensor, geode... |
c++, beginner
printChart() receives the same input twice, using different types. Duplication is never good. Just pass it once and convert as needed inside.
printChart() always outputs to std::cout. That's fine for a one-off, but if you ever want to reuse it consider making the used output-stream an (optionally default... | {
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"openwebmath_score": null,
"tags": "c++, beginner",
"url": null
} |
assembly, covid-19, genome-sequencing, software-usage, virus
I can share FAA files of the proteins if needed.
READ ASSEMBLY
I also assembled the indicated reads using SPAdes. For reference it is a ~9Kbp virus, but this is a 4.3Mbp assembly. There is a lot of non-virus sequence in there. The second-largest contig is a ... | {
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"id": 1600,
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"openwebmath_score": null,
"tags": "assembly, covid-19, genome-sequencing, software-usage, virus",
"url": null... |
php, mysqli
Title: PHP MySQLi Connection File I have recently adjusted the way I create my mysqli connections. Initially I would include the connection file and use if($mysqli->connect_error)... in my main script. Now I check if there is an issue with the connection within the connection file. If there isn't an issue ... | {
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"id": 38498,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "php, mysqli",
"url": null
} |
time-complexity, memory-allocation, operating-systems
The overhead is then about two pointer-sized words per allocated block; but, at that price, you can reliably detect the occurrence of a "final hole", i.e. an occasion to decrease the big segment size. | {
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"openwebmath_score": null,
"tags": "time-complexity, memory-allocation, operating-systems",
"url": null
} |
python-3.x, pygame
def update_tick(self) -> int:
current_tick = pygame.time.get_ticks()
time_delta = current_tick - self.last_tick
self.last_tick = current_tick
return time_delta
def run(self):
# initial ticks
self.last_tick = pygame.time.get_ticks()
while T... | {
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"id": 44904,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python-3.x, pygame",
"url": null
} |
javascript, jquery, design-patterns
console.log(ajax.data);
ajax.success = function () {
console.log('person successfully deleted');
var successMessage = $('<div>').text('Person successfully deleted from the database')
... | {
"domain": "codereview.stackexchange",
"id": 4995,
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"openwebmath_score": null,
"tags": "javascript, jquery, design-patterns",
"url": null
} |
Alternatively, you can specify the truncation bounds by using the TruncationBounds name-value argument.
```[lambdaHat2,lambdaCI2] = mle(x1,'Distribution','Poisson', ... 'TruncationBounds',[0 Inf])```
```lambdaHat2 = 1.8760 ```
```lambdaCI2 = 2×1 1.4990 2.2530 ```
You can also compute a standard error estimate for `la... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
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"lm_q1_score": 0.9766692332287863,
"lm_q1q2_score": 0.8117518391702161,
"lm_q2_score": 0.8311430436757312,
"openwebmath_perplexity": 366.72503755460355,
"openwebmath_score": 0.8831353783607483,
"tags":... |
machine-learning, python, cross-validation, mean
def model(X):
return np.mean(X)
def cross_validation(X, model):
errors = []
for i in range(len(X)):
test_element = X[i]
train_elements = X[0:i] + X[i+1:len(X)]
prediction = model(train_elements)
error = abs(predictio... | {
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"id": 11290,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "machine-learning, python, cross-validation, mean",
"url": null
} |
sql, sql-server, t-sql
I used a CTE to remove some of the repeated formulas scattered around the code.
I replaced your use of SUM()/COUNT(*) with AVG
It is only necessary to cast one of the operands to avoid integer division - not both.
I changed the column names returned by the query so they meet the rules for standa... | {
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"id": 17667,
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"lm_name": null,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "sql, sql-server, t-sql",
"url": null
} |
particle-physics, neutrinos, antennas
Title: Can a neutrino antenna be made one day? I am wondering if it is theoretically possible that some kind of device/material could absorb neutrinos much better than everyday materials (preferably non-thermal absorption). This could enable a sort of neutrino antenna. How does an... | {
"domain": "physics.stackexchange",
"id": 93878,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "particle-physics, neutrinos, antennas",
"url": null
} |
python, python-3.x
"20": "Rumoured to be used by Willowsoft Overture File System",
"21": "Reserved for: HP Volume Expansion, SpeedStor variant | Claimed for FSo2 (Oxygen File System)",
"22": "Claimed for Oxygen Extended Partition Table",
"23": "Reserved - unknown",
"24": "NEC DOS 3.x",
"26": "Reser... | {
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"id": 20789,
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"lm_name": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, python-3.x",
"url": null
} |
vba, ms-access
The font resize part of the code is a newer addition and is just plain ugly. It takes the height of the control and finds out what percentage of an inch that is. Then it multiplies that percentage times a font size that appears to be about an inch high (60) for the Calibri font. However, that doesn't wo... | {
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"id": 23200,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "vba, ms-access",
"url": null
} |
neural-network, deep-learning, keras, tensorflow, metric
That means:
large loss and small accuracy means you made huge errors on a lot of data (worst case)
small loss and small accuracy means you made small errors on a lot of data
small loss with a large accuracy means you made small errors on a few data (best case)... | {
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"openwebmath_score": null,
"tags": "neural-network, deep-learning, keras, tensorflow, metric",
"url": null
} |
general-relativity, notation, volume, diffeomorphism-invariance
The volume form is only defined up to a scalar. You put a 1/24 in the definition, as do many people. But others want it to be just a 1, and that way the value of the volume form on the ordered pair of basis vectors $(\frac {\partial } {\partial x} , \f... | {
"domain": "physics.stackexchange",
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "general-relativity, notation, volume, diffeomorphism-invariance",
"url": null
} |
performance, c, compression
static uint32 bio_read_bits(struct bio *bio, size_t n)
{
uint32 w;
size_t s;
/* reload? */
if (bio->c == 32) {
bio_reload_buffer(bio);
bio->c = 0;
}
/* get the avail. least-significant bits */
s = minsize(32 - bio->c, n);
w = bio->b & (((ui... | {
"domain": "codereview.stackexchange",
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "performance, c, compression",
"url": null
} |
我想查看译文中含有：的双语例句 | {
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"id": null,
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9724147185726374,
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"openwebmath_score": 0.40670904517173767,
"tags": null,... |
homework-and-exercises, classical-mechanics, lagrangian-formalism
The block looses contact at about 0.095 s. This result does make intuitive sense when looking at the intial velocity and at the length of the block. | {
"domain": "physics.stackexchange",
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... |
can specify the directions of the edges as per the requirement. 3 C 2 is (3! a) 24 b) 21 c) 25 d) 16 View Answer. In the domain of mathematics and computer science, graph theory is the study of graphs that concerns with the relationship among edges and vertices. Data Structures and Algorithms Objective type Questions a... | {
"domain": "stcroixboardwatch.org",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9902915212263165,
"lm_q1q2_score": 0.8164576595358845,
"lm_q2_score": 0.8244619306896955,
"openwebmath_perplexity": 312.30254003410147,
"openwebmath_score": 0.5566982626914978,
... |
textbook-and-exercises, quantum-operation, nielsen-and-chuang
(Section 8.3.2 shows that a single-qubit operation is an affine map on the Bloch sphere)
However, it seems to me that the correct way to model this scenario is by considering a state
$$ \rho = p \rho_0 \otimes |0\rangle \langle 0| + (1-p) \rho_1 \otimes |1\... | {
"domain": "quantumcomputing.stackexchange",
"id": 4582,
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"tags": "textbook-and-exercises, quantum-operation, nielsen-and-chuang",
"url": n... |
c#, wpf, mvvm, databinding
public const string UCDisplayTextPropertyName = "UCDisplayText";
private string _ucDisplayText = string.Empty;
public string UCDisplayText
{
get { return _ucDisplayText; }
set
{
if (_ucDisplayText == value) { return; }
_ucDisplayT... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c#, wpf, mvvm, databinding",
"url": null
} |
quantum-field-theory, charge, antimatter, charge-conjugation, cpt-symmetry
The operator corresponding to a particle changing into an antiparticle is Hermitian, so on that basis is permitted in the Lagrangian, but in many cases, such an operator would violate a symmetry.
Clearly, an electron turning into an positron wo... | {
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"tags": "quantum-field-theory, charge, antimatter, charge-conjugation, cpt-symmetry",
"ur... |
haskell, numbers-to-words
-- Global names
places = ["","Thousand","Million","Billion","Trillion","Quadrillion","Quintillion"]
ones = ["One","Two","Three","Four","Five","Six","Seven","Eight","Nine"]
teens = ["Ten","Eleven","Twelve","Thirteen","Fourteen","Fifteen","Sixteen","Seventeen","Eighteen","Nineteen"]
tens ... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "haskell, numbers-to-words",
"url": null
} |
algorithms, recursion, space-analysis
Title: Since we need space for recursive calls, is the space complexity of the recursive factorial is n? As Wikipedia says, quickSort needs O(log n) extra space when the following conditions are met:
In-place partitioning is used. This unstable partition requires O(1)
space.
Afte... | {
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"id": 4866,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "algorithms, recursion, space-analysis",
"url": null
} |
performance, strings, homework, matlab
scanning through the stopData list on every iteration is expensive. Instead, you could use intersect to filter out the stopData before this print loop.
Rather than exist to see if a variable has been passed in,
if (exist('stopFile', 'var'))
I prefer to use nargin.
if (nargin <... | {
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"id": 10578,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "performance, strings, homework, matlab",
"url": null
} |
solar-system, planetary-formation, gas-giants, solar-wind, proto-planetary-disk
Those discs are accretion discs, i.e. they loose angular momentum through various processes, which leads to mass infall into their host star. The dust settles into the midplane. For the case of turbulent accretion, dust and gas will be wel... | {
"domain": "astronomy.stackexchange",
"id": 5153,
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"tags": "solar-system, planetary-formation, gas-giants, solar-wind, proto-planetary-disk",... |
electromagnetism, electrostatics, magnetic-fields, classical-electrodynamics
$\frac{\mu_{0}\sigma v}{4 \pi}\int_{-\infty}^{\infty}\int_{-\infty}^{\infty}
\frac{z_1\hat{x}}{( {(x_1-x)^{2}+(y_1-y)^{2}+{z_1}^{2}} )^{3/2}}dxdy =\frac{\mu_{0}\sigma v}{4 \pi}*\frac{2 \pi z}{|z|} $
So, you get:
$ \vec{B}=\frac{\mu_0\sigma v\... | {
"domain": "physics.stackexchange",
"id": 32942,
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"tags": "electromagnetism, electrostatics, magnetic-fields, classical-electrodynamics",
"... |
Cross Product as another way of multiplying vectors. [Answer: The third side of the triangle can be described as a vector c= b a. Join this webinar to find out transfer learning which will be the next driver of ML success. Find the dot product of two vectors. A feature extraction algorithm converts an image of fixed si... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9875683498785867,
"lm_q1q2_score": 0.8164343980791543,
"lm_q2_score": 0.8267117898012104,
"openwebmath_perplexity": 283.64256528156864,
"openwebmath_score": 0.8412498235702515,
"tag... |
fidelity, state-space-geometry
Title: What is the difference between the "Fubini-Study distances" $\arccos|\langle\psi|\phi\rangle|$ and $\sqrt{1-|\langle\psi|\phi\rangle|}$? I sometimes see the "Fubini-Study distance" between two (pure) states $|\psi\rangle,|\phi\rangle$ written as
$$
d(\psi,\phi)_1=\arccos(|\langle\... | {
"domain": "quantumcomputing.stackexchange",
"id": 1717,
"lm_label": null,
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"openwebmath_score": null,
"tags": "fidelity, state-space-geometry",
"url": null
} |
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