text stringlengths 1 1.11k | source dict |
|---|---|
You asked about whether there exists an element in each semigroup...such that it is idempotent. We don't know that for each x $x \circ x = x$, we only know (from the theorem) that for each $x$, exists a power $i$ of $x$ such that $x^i\circ x^i = x^i$...that's what the theorem above states. From that we know that exists... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9865717472321277,
"lm_q1q2_score": 0.870578406589985,
"lm_q2_score": 0.8824278710924296,
"openwebmath_perplexity": 389.4375717154165,
"openwebmath_score": 0.9014335870742798,
"tags... |
visible-light, refraction, lenses
Title: Is it possible to construct a lens which focuses all the light rays from an extended object in one point? A perfect lens focuses the light rays from an extended object (in a plane at a constant distance from the lens), in the focal plane corresponding to the distance of the obj... | {
"domain": "physics.stackexchange",
"id": 43215,
"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": "visible-light, refraction, lenses",
"url": null
} |
special-relativity, spacetime, metric-tensor, time, conventions
Here's a proof.
The condition that the right-hand side of (3) must be non-negative is the same as the condition
$$
\left(c\,\frac{dt}{du}\right)^2 \geq
\left(\frac{dx}{du}\right)^2 +
\left(\frac{dy}{du}\right)^2 +
\left(\frac{dz}{du}\right)^2.
\tag{4}
$$... | {
"domain": "physics.stackexchange",
"id": 56153,
"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": "special-relativity, spacetime, metric-tensor, time, conventions",
"url": null
} |
nomenclature, water-treatment, reagents
Title: TKN: Why are they called Missouri tablets? When analyzing for Total Kjeldahl Nitrogen (TKN), you can make a copper sulfate digestion solution in the lab or purchase a variety of pre-prepared digesting tablets for example on VWR. My question is, why are some formulations c... | {
"domain": "chemistry.stackexchange",
"id": 14012,
"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": "nomenclature, water-treatment, reagents",
"url": null
} |
$\xrightarrow[]{\text{$R_3\leftarrow\boldsymbol{\frac{1}{2}}R_2 + R_3 $}} \begin{pmatrix} 1 & 1 & -2 \\ 0 & 2 & 1 \\ 0 & 0 & \frac{-1}{2} \end{pmatrix}= \textbf{ U}$
Now, to get $L,$ we just have to reverse the sign of the bold text which we have used in above row operations and put in that position of $L$ for which ... | {
"domain": "gateoverflow.in",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.974434783107032,
"lm_q1q2_score": 0.801169684950346,
"lm_q2_score": 0.8221891283434876,
"openwebmath_perplexity": 418.2588539697781,
"openwebmath_score": 0.9993814826011658,
"tags": ... |
Now sub in ** for b and you'll have the Area in terms of a only. It will be a quadratic expression in a.
Graph (as it suggests in the question), it will be an "upside-down" parabola and find the maximum area ie the highest point on the graph.
(I got max area of approx. 56884 when a=303.38. Check that by doing it your... | {
"domain": "mathhelpforum.com",
"id": null,
"lm_label": "1. Yes\n2. Yes",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9481545274901875,
"lm_q1q2_score": 0.8132967071118923,
"lm_q2_score": 0.8577680995361899,
"openwebmath_perplexity": 1680.9338761414979,
"openwebmath_score": 0.77018803358078,
"tags... |
c#, beginner
public int NumberOfBottles => Count;
public int EmptySlots => BottleLimit - Count;
public void Remove(string name)
{
var candidate = FindBeverageByName(name);
if (candidate == null)
{
// Do you silently return or throw exception?
}
base.Rem... | {
"domain": "codereview.stackexchange",
"id": 26515,
"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": "c#, beginner",
"url": null
} |
calibration, stereo, camera-calibration
Title: Stereo camera calibration fundamental matrix
I'm writing a stereo camera driver, and am using the camera_calibrate package, with the command:
rosrun camera_calibration cameracalibrator.py --approximate=0.1 --size 9x6 --square 0.025 right:=/stereocamera/right/image_raw le... | {
"domain": "robotics.stackexchange",
"id": 8477,
"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": "calibration, stereo, camera-calibration",
"url": null
} |
quantum-field-theory, quantum-electrodynamics, renormalization, feynman-diagrams, dimensional-analysis
Where does this come from? Is it very important to understand things like primitive divergences to understand renormalizability well? As quick sketch to see where the formula comes from just schematically write out t... | {
"domain": "physics.stackexchange",
"id": 90890,
"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-field-theory, quantum-electrodynamics, renormalization, feynman-diagrams, ... |
digital-communications, demodulation, fsk
Title: How to do base-band simulation of coherent detection of M-ary orthogonal signals? I currently have a complex base-band simulator for non-coherent detection of M-ary orthogonal waveforms (such as M-FSK). I run the noisy signal through M correlators at lag=0, compute the... | {
"domain": "dsp.stackexchange",
"id": 3382,
"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": "digital-communications, demodulation, fsk",
"url": null
} |
ros
Title: Why is the ROS wiki dump smaller than a year ago?
I was moving my ROS mirror to a different machine, and ran the update-wiki script the first time around before cron picks it up.
Now I am sure that back in November 2011, we were at 11GB (and increasing fast), but now we seem to be around 3GB. Specifically,... | {
"domain": "robotics.stackexchange",
"id": 13232,
"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": "ros",
"url": null
} |
ros, joy-node, joy
Title: alternative publisher for Joy_node
Hi everyone,
I'm trying to publish to modify the Publisher tutorial (Python) and simplify this tutorial in order to read some values from the joy_node, do some operations and publish the new values in another topic in the foo array.
This is my file talker2.... | {
"domain": "robotics.stackexchange",
"id": 26237,
"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": "ros, joy-node, joy",
"url": null
} |
java, algorithm, array, complexity
public class Solution {
public static void main(String[] args)throws IOException {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
byte T = Byte.parseByte(br.readLine());
StringTokenizer st = new StringTokenizer(br.readLine());
... | {
"domain": "codereview.stackexchange",
"id": 24962,
"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, algorithm, array, complexity",
"url": null
} |
The assumption that $g \notin C$ implies that $g \ne f_{p_n}$ for all $n$. Then $g \in D(p_n,\left\{q* \right\},n)$ for all $n$. By the definition of $D(p_n,\left\{q* \right\},n)$, it follows that for all $q \in Q$, $g(q) \ge n$ for all positive integer $n$. This is a contradiction. So it must be the case that $g \in C... | {
"domain": "wordpress.com",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9911526443943918,
"lm_q1q2_score": 0.8033083158230812,
"lm_q2_score": 0.8104789109591831,
"openwebmath_perplexity": 104.48403738152078,
"openwebmath_score": 0.9783799052238464,
"ta... |
c#, parsing, combinatorics
var currentFrontSet = series[startingAt];
foreach (var forefront in currentFrontSet)
{
var forefrontSet = new T[1] { forefront };
/* Continue expanding recursively until the above constraints cause it to short circuit. */
for (int i = startingAt + 1; i < series.Length; i++)
... | {
"domain": "codereview.stackexchange",
"id": 13736,
"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": "c#, parsing, combinatorics",
"url": null
} |
c#, wpf
So, when I press my back button and call GoBack, it sets a flag (boolean value, really) that indicates that I am using a navigation button. Then, it adds the item at Back[0] (the currently selected item, actually), to Forward and removes the item at Back[0] so we don't just go back to the page we are currentl... | {
"domain": "codereview.stackexchange",
"id": 11900,
"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": "c#, wpf",
"url": null
} |
homework-and-exercises, experimental-physics, kinematics, acceleration
$t = 1.5 \rightarrow 2.0$:
$$
v_{max} = \frac{6.605 - 3.085}{1.995 - 1.505} \approx 7.18 \, \mathrm{m/s}
$$
$$
v_{mid} = \frac{6.600 - 3.090}{2.000 - 1.500} = 7.02 \, \mathrm{m/s}
$$
$$
v_{min} = \frac{6.595 - 3.095}{2.005 - 1.495} \approx... | {
"domain": "physics.stackexchange",
"id": 12346,
"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": "homework-and-exercises, experimental-physics, kinematics, acceleration",
"url": ... |
turing-machines, np-complete, heuristics, probabilistic-algorithms, backtracking
This is a slightly more specific question, but heuristic algorithms will have different meanings based on the problem. So if someone were to make a polynomial-time solver for another NP-complete problem like clique, based on heuristics, h... | {
"domain": "cs.stackexchange",
"id": 11893,
"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": "turing-machines, np-complete, heuristics, probabilistic-algorithms, backtracking",
"u... |
javascript, react.js
export default LightDarkToggle;
``` Here are some suggestions:
handleClick method
Intead of calling document.getElementById and checking for .checked twice, you can store it's value into a constant like this:
const isDarkMode = document.getElementById("switch-style").checked;
then just do window.... | {
"domain": "codereview.stackexchange",
"id": 37933,
"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": "javascript, react.js",
"url": null
} |
reproduction, species
Viability
The hybrid embryo must be able to develop into a zygote. Hybrid inviability means there wasn't enough similarity to proceed to a blastocyst and the hybrid dies.
Say viability is achievable. The blastocyst/blastomere must "communicate" with the mother so that attachment is not only possi... | {
"domain": "biology.stackexchange",
"id": 6813,
"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": "reproduction, species",
"url": null
} |
and
$$\underset{n \rightarrow \infty}{\lim} a_n ~~~=~~~ \underset{n \rightarrow \infty}{\lim} b_n ~~~=~~~ e \\ ~ \\$$
While both sequences converge to the same limit, $a_n$ approaches from the bottom and $b_n$ approaches from the top:
import numpy as np
import matplotlib.pyplot as plt
from matplotlib import rcParams... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.983596967483837,
"lm_q1q2_score": 0.8018601999054825,
"lm_q2_score": 0.8152324848629214,
"openwebmath_perplexity": 532.5164972131246,
"openwebmath_score": 1.0000100135803223,
"tags... |
string-theory, branes, casimir-effect
Two D-branes interact with each other by means of open strings stretched among them. The one-loop amplitude for open strings streched between two D-branes is exactly computable (see equation (48) in TASI Lectures on D-Branes) and shown to be exactly zero.
This shouldn't be so surp... | {
"domain": "physics.stackexchange",
"id": 77034,
"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": "string-theory, branes, casimir-effect",
"url": null
} |
navigation, odometry
Originally posted by StevenCoral on ROS Answers with karma: 167 on 2017-09-20
Post score: 0
You get to specify what you mean within the message itself so that there is no ambiguity. Check out ROS REP 105, where some common coordinate frames and their meanings are discussed. What you are calling "... | {
"domain": "robotics.stackexchange",
"id": 28888,
"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": "navigation, odometry",
"url": null
} |
java, android, asynchronous, thread-safety, promise
return null;
}
},
new Callback<Throwable, T>() {
@Override
public Result<T> execute(final Throwable value) {
action.reject(value);
... | {
"domain": "codereview.stackexchange",
"id": 38248,
"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, android, asynchronous, thread-safety, promise",
"url": null
} |
organic-chemistry, aromaticity, organoboron-compounds
Title: Is 1,2-dihydro-1,2-diborete aromatic? What kind of aromaticity does 1,2-dihydro-1,2-diborete have?
I read somewhere that 1,2-dihydro-1,2-diborete is an aromatic compound, but I believe that in order to be aromatic, it should have a continuous resonance. I a... | {
"domain": "chemistry.stackexchange",
"id": 17798,
"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": "organic-chemistry, aromaticity, organoboron-compounds",
"url": null
} |
combinatorics, hash-tables, probabilistic-algorithms, bloom-filters
Title: Cuckoo filters for non powers-of-2 The Cuckoo filters paper (https://www.cs.cmu.edu/~dga/papers/cuckoo-conext2014.pdf) claims a 95% load factor, however it seems to make an implicit assumption that the table size is a power of 2, and their impl... | {
"domain": "cs.stackexchange",
"id": 9865,
"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": "combinatorics, hash-tables, probabilistic-algorithms, bloom-filters",
"url": null
} |
beginner, f#
Title: Console input prompt loop in F# I'm learning F#, starting with baby steps. Is there a way to write this code in a more succint way, while keeping the same semantics? Maybe by using a Seq or something like that?
let rec repeatingPrompt predicate (message:string) =
Console.WriteLine(message)
... | {
"domain": "codereview.stackexchange",
"id": 20861,
"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": "beginner, f#",
"url": null
} |
c#, .net, winforms, .net-datatable
Now I already have some concerns about the whole conditional thing in the TableAdapters class which I address here. Other than that are there other areas of improvement that you could point out to me?
I assume it's your style to refer to class members using "this.". That's not the ... | {
"domain": "codereview.stackexchange",
"id": 8311,
"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": "c#, .net, winforms, .net-datatable",
"url": null
} |
$\displaystyle \cos (a+ib) = \cos a \cos ib - \sin a \sin ib = \cos a \cosh b - i \sin a \sinh b = r (\cos \theta + i \sin \theta) \\ \displaystyle r \cos \theta = \cos a \cosh b = \cos a \frac {e^{2b} + 1}{2e^b}\\ \displaystyle r \sin \theta = -\sin a \sinh b = -\sin a \frac {e^{2b} - 1}{2e^b} \\ \displaystyle \tan \t... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9879462178220093,
"lm_q1q2_score": 0.8122786375291191,
"lm_q2_score": 0.8221891261650248,
"openwebmath_perplexity": 371.3461929754989,
"openwebmath_score": 0.8550357818603516,
"tag... |
• You're welcome. Hm. Is the "true" (undiscretized) solution known to be periodic? Long time simulations show some rotation of the perihel, but that might be due to numerical errors. – Henrik Schumacher Sep 13 '18 at 16:22
• I don't think so, no. Maybe have a look here (page 26), I'm sure things are better explained th... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9572777975782055,
"lm_q1q2_score": 0.8265056222081105,
"lm_q2_score": 0.8633916134888614,
"openwebmath_perplexity": 8748.902048526128,
"openwebmath_score": 0.5297356843948364,
"tag... |
electromagnetism, electric-fields, magnetic-fields, electric-current, induction
Title: Non-conservative electric fields due to changing magnetic flux? What I read in several places, tells me that, the fact Coulomb's Law follows inverse-square law and gives a force which is radial, implies that a static electric field ... | {
"domain": "physics.stackexchange",
"id": 27766,
"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": "electromagnetism, electric-fields, magnetic-fields, electric-current, induction",
... |
ruby, caesar-cipher
#start the program
init() Some points about making your code look more like idiomatic Ruby:
Use nil.
choice = -1
should be
choice = nil
Don't wrap your conditional in brackets:
while(choice != 3)
if(choice == 1)
should be
while choice != 3
if choice == 1
Instead of initializing a variable to a... | {
"domain": "codereview.stackexchange",
"id": 1135,
"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": "ruby, caesar-cipher",
"url": null
} |
java, mathematics, combinatorics
// Green
List<GameSquare> resultSet1 = Arrays.asList(A,B,F,I);
List<Section> parentSet1 = Arrays.asList(new Section(rule1.getSquares()));
// Yellow
List<GameSquare> resultSet2 = Arrays.asList(J);
List<Section> parentSet2 = Arrays.asList(new Sect... | {
"domain": "codereview.stackexchange",
"id": 36841,
"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, mathematics, combinatorics",
"url": null
} |
physical-chemistry, thermodynamics, free-energy
Title: How to calculate the temperature at which a reaction becomes spontaneous?
At $25~^\circ\mathrm{C}$, $298~\mathrm{K}$, the reduction of copper(I) oxide, $ \Delta H = 58.1~\mathrm{kJ}$, $\Delta S = 165~\mathrm{J/K}$, is nonspontaneous, $ \Delta G = 8.9~\mathrm{kJ}$... | {
"domain": "chemistry.stackexchange",
"id": 11779,
"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": "physical-chemistry, thermodynamics, free-energy",
"url": null
} |
data-structures, functional-programming, programming-paradigms, persistent-data-structure
Mathematics never worked with mutable data objects. So, there are no reasoning techniques we can borrow from them. There are plenty of our own techniques developed in Computer Science, especially Floyd-Hoare Logic. However, th... | {
"domain": "cs.stackexchange",
"id": 2940,
"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": "data-structures, functional-programming, programming-paradigms, persistent-data-structur... |
beginner, php
$correct = "<img src='/samea/media/correct.png' style='vertical-align:middle'>";
$incorrect = "<img src='/samea/media/incorrect.png' style='vertical-align:middle'>";
$warning = "<img src='/samea/media/warning.png' style='vertical-align:middle'>";
//=======================================================... | {
"domain": "codereview.stackexchange",
"id": 22966,
"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": "beginner, php",
"url": null
} |
• You make a good point. I think the set notation is the right notation to use in this case. – zooby Aug 8 '18 at 19:20
• This is an important point to make: Imperative vs. declarative is a major impedence mismatch between "typical" programmers and "typical" mathematicians. Mathematicians are perfectly content to say t... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9566341962906709,
"lm_q1q2_score": 0.8187364811580087,
"lm_q2_score": 0.855851154320682,
"openwebmath_perplexity": 441.6013214719808,
"openwebmath_score": 0.8178160786628723,
"tags... |
gazebo-camera, gazebo-sensor, gazebo-model
Title: where is model://camera?
I am working on adding 2 camera sensors to my quad, but it uses the same link. Eventhough, I rename the joint. I am thinking of creating another camera model folder and rename the model. However, I do not know where the camera model gets refer... | {
"domain": "robotics.stackexchange",
"id": 4048,
"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": "gazebo-camera, gazebo-sensor, gazebo-model",
"url": null
} |
python, game, console
if player.life <= 0:
print('The End')
exit()
if monster.life <= 0:
print('\n' * 5)
print('Enemy defeated')
print('You earn', monster.gold, 'gold coins')
player.gold += monster.gold
... | {
"domain": "codereview.stackexchange",
"id": 6195,
"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": "python, game, console",
"url": null
} |
ros-hydro, ubuntu-precise, ubuntu
Originally posted by stefie10 with karma: 16 on 2014-05-19
This answer was ACCEPTED on the original site
Post score: 0 | {
"domain": "robotics.stackexchange",
"id": 17821,
"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": "ros-hydro, ubuntu-precise, ubuntu",
"url": null
} |
python, performance, recursion, dynamic-programming
An m-tuple (a_1, \ldots, a_m), each a_i is a sorted list, is called non-crossing m-tuple if any two a_i, a_j (i \ne j) are non-crossing.
Moreover, ((1, 2, 3), (4, 5, 6))
has content [1,2,3,4,5,6] which is the same as the content of
[[1,2,4],[3,5,6]].
I have a program... | {
"domain": "codereview.stackexchange",
"id": 43711,
"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": "python, performance, recursion, dynamic-programming",
"url": null
} |
classical-mechanics, lagrangian-formalism, mass
Constant motion solution: This is similar to the static solution but for minor modifications. Firstly, friction in equation 1 will be kinetic friction, not static. Equations 1 and 2 will remain valid, assuming an instantaneous forces.
Solution with acceleration: In this ... | {
"domain": "physics.stackexchange",
"id": 48007,
"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": "classical-mechanics, lagrangian-formalism, mass",
"url": null
} |
c, linux, windows
return 0;
}
/*
int __stdcall mainCRTStartup() {
int result = main();
return result;
}
*/
I'm making something which I'm going to update to not use any C runtime functions, including printf. I'm going to compile with /NODEFAULTLIB. I made this function to imitate printf. It works with the f... | {
"domain": "codereview.stackexchange",
"id": 45245,
"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": "c, linux, windows",
"url": null
} |
visible-light, energy, heat, electrons, photoelectric-effect
Why and how some wavelengths of sun light heats up black objects while some other wave lengths do not?
Why and how some wavelengths of light pulls the outer most electrons of atoms to higher energy levels while other wavelengths have no such effect? (I under... | {
"domain": "physics.stackexchange",
"id": 1524,
"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": "visible-light, energy, heat, electrons, photoelectric-effect",
"url": null
} |
newtonian-mechanics, reference-frames, centrifugal-force, coriolis-effect
Title: How are quadratic terms of apparent force in a rotating reference frame derived from the usual decomposition into centrifugal and Coriolis terms? Usually the total acceleration a' seen in a rotating reference frame (like earth) is written... | {
"domain": "physics.stackexchange",
"id": 92109,
"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": "newtonian-mechanics, reference-frames, centrifugal-force, coriolis-effect",
"url... |
java
if (isSquareNumber(num1)) {
getPropertiesOfNumberSequence(num1);
i++;
}
break;
case "even":
if (isSquareNumber(num1) && isEven(num1)) {
... | {
"domain": "codereview.stackexchange",
"id": 41816,
"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",
"url": null
} |
c, linked-list
Also, you use struct accList a lot. You can make a typedef like so:
typedef struct accList accList
It looks a little weird, but after that, you can replace all your struct accList with just accList. To better distinguish it from a variable name, I also recommend renaming it to AccList. | {
"domain": "codereview.stackexchange",
"id": 1960,
"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": "c, linked-list",
"url": null
} |
python, python-2.x, exception
Title: Extended exception for network errors in Python I need a custom exception for network errors that holds a related exception and more than one URL (the first one as the used service has its URL but it indirectly calls other URLs), so I wrote this:
class ExtendedNetworkError(Exceptio... | {
"domain": "codereview.stackexchange",
"id": 19935,
"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": "python, python-2.x, exception",
"url": null
} |
php, mysql, database, pdo, session
return false;
}
public function open()
{
if ($this->dblayer) {
return true;
}
return false;
}
public function close()
{
$this->dblayer = null;
if (!$this->dblayer) {
return true;
}
... | {
"domain": "codereview.stackexchange",
"id": 17858,
"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": "php, mysql, database, pdo, session",
"url": null
} |
neural-network, computer-vision, supervised-learning
You need to map the class of each pixel to a predefined colour mapping. For example, if you have the classes: tree, car, building, sky, you should decide on a colour for each of those. For example, specify a dictionary mapping each class to a colour:
colour_mappings... | {
"domain": "datascience.stackexchange",
"id": 4044,
"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": "neural-network, computer-vision, supervised-learning",
"url": null
} |
physical-chemistry, thermodynamics, enthalpy, entropy
Is this correct? In short, the real dictator of whether a reaction is spontaneous or not is the sign of the change in total entropy, as per the second law of thermodynamics. All the specific conditions we memorize ($\Delta{A}<0$ for constant T,V; $\Delta{G}<0$ for ... | {
"domain": "chemistry.stackexchange",
"id": 14214,
"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": "physical-chemistry, thermodynamics, enthalpy, entropy",
"url": null
} |
ros, moveit, ros-kinetic, move-group
Title: Attached collision objects ignore environment
Hello fellow ROS users,
I've never had problems using collision objects (unattached); collision checking always works perfectly with Moveit or Descartes. The issue arise when I try to attach a collision object (in this example, ... | {
"domain": "robotics.stackexchange",
"id": 33785,
"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": "ros, moveit, ros-kinetic, move-group",
"url": null
} |
particle-physics, standard-model, neutrinos, beyond-the-standard-model
So, endless discussion about "part of the standard model" or not are essentially theological, and a subjective assessment of what "general agreement" means. The proper question to ask is "accommodated in the SM". If/when new elements such as Majora... | {
"domain": "physics.stackexchange",
"id": 75994,
"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": "particle-physics, standard-model, neutrinos, beyond-the-standard-model",
"url": ... |
condensed-matter, solid-state-physics, symmetry, superconductivity
\Delta&0&0&-\epsilon_{-k}
\end{pmatrix}
\begin{pmatrix}
c_{k\uparrow} \\
c_{k\downarrow} \\
c^{\dagger}_{-k\uparrow} \\
c^{\dagger}_{-k\downarrow}
\end{pmatrix}
$
At the limit of $\Delta\rightarrow0$, one can get eigenvectors like $\beg... | {
"domain": "physics.stackexchange",
"id": 62207,
"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": "condensed-matter, solid-state-physics, symmetry, superconductivity",
"url": null... |
Added (in light of OP's clarifications): If $\theta \leq \pi$ is the interior angle at each vertex of the quadrilateral, then $$\theta = \pi - \cos^{-1}\left\lvert\tan\frac{\ell}{2R} \tan\frac{b}{2R}\right\rvert,$$ so $$\text{Area} = R^{2}(4\theta - 2\pi) = R^{2} \left[2\pi - 4\cos^{-1}\left\lvert\tan\frac{\ell}{2R} \t... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9835969665221772,
"lm_q1q2_score": 0.8217790666304188,
"lm_q2_score": 0.8354835309589074,
"openwebmath_perplexity": 259.4887156385694,
"openwebmath_score": 0.926360011100769,
"tags... |
python, beginner, game, hangman, turtle-graphics
WORDLIST_FILENAME = "E:/My Documents/Programming/Projects/Hangman/words.txt"
def loadWords():
"""
Returns a list of valid words. Words are strings of lowercase letters.
"""
print("Loading word list from file...")
# inFile: file
inFile = open(WOR... | {
"domain": "codereview.stackexchange",
"id": 40228,
"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": "python, beginner, game, hangman, turtle-graphics",
"url": null
} |
quantum-mechanics, density-operator
So my question is, is there a simple (or elegant) way to show that for a mixed state $\hat{\rho}^2 \neq \hat{\rho}$? Assume, for example, that the states $|\psi_k\rangle$ are mutually orthogonal. In an orthonormal basis including the $|\psi_k\rangle$, $\rho$ is diagonal and its elem... | {
"domain": "physics.stackexchange",
"id": 99797,
"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, density-operator",
"url": null
} |
filter-design, moving-average, autoregressive-model, stationary
Wide sense stationary refers to constant mean, constant variance and $corr(X_{t1}, X_{t2})$ being only a function of, the time difference, $t2 - t1$.
But, the general process in ARMA modelling ( in statistical time series that is. dsp could be different),... | {
"domain": "dsp.stackexchange",
"id": 9014,
"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": "filter-design, moving-average, autoregressive-model, stationary",
"url": null
} |
java, algorithm, programming-challenge, dynamic-programming
// Replaced while loop with for loop
for (int fastBurgers = initialTime / fastestBurgerTime; fastBurgers > 0; fastBurgers--) {
int leftover = initialTime - fastBurgers * fastestBurgerTime;
int slowBurger... | {
"domain": "codereview.stackexchange",
"id": 34934,
"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, algorithm, programming-challenge, dynamic-programming",
"url": null
} |
ros, stack, rosmake, rosbuild
[ rosmake ] Checking rosdeps compliance for packages mini_max. This may take a few seconds.
Failed to find stack for package [arm_navigation_msgs]
Failed to load rosdep.yaml for package [arm_navigation_msgs]:Cannot locate installation of package arm_navigation_msgs: [rospack] couldn't fi... | {
"domain": "robotics.stackexchange",
"id": 6837,
"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": "ros, stack, rosmake, rosbuild",
"url": null
} |
algorithms, graphs, optimization
Title: Minimum path cover--- Disjointed paths with minimum total number of edges Let $T=(\mathcal{V},\mathcal{E})$ be an udirected acyclic graph and $|\mathcal{V}|=n$. Let $\mathcal{V'}$ be $\mathcal{V'}\subset \mathcal{V}$ where $|\mathcal{V'}|=2m\leq n$. There are $2m \choose 2$ pair... | {
"domain": "cs.stackexchange",
"id": 11105,
"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": "algorithms, graphs, optimization",
"url": null
} |
sql, sql-server, stackexchange
Filter-join on lookup table
The joins on both Tags tables is very deeply nested. Which means,
that for each and every Post, SQL will join with each and every
PostTag (which is unavoidable, because they are needed in an
unfortunate m-to-n match-and-filter), and then for each of those, it... | {
"domain": "codereview.stackexchange",
"id": 17670,
"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": "sql, sql-server, stackexchange",
"url": null
} |
machine-learning, neural-network, scikit-learn, mlp, dropout
# update weights
grads = coef_grads + intercept_grads
self._optimizer.update_params(params, grads)
self.n_iter_ += 1
self.loss_ = accumulated_loss / X.shape[0]
self.t_ ... | {
"domain": "datascience.stackexchange",
"id": 11368,
"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, neural-network, scikit-learn, mlp, dropout",
"url": null
} |
ros-industrial, transform
#include <ros/ros.h>
#include <fake_ar_publisher/ARMarker.h>
#include <myworkcell_core/LocalizePart.h>
#include <tf/transform_listener.h>
class Localizer
{
public:
//Here we are defining the variables which are used in the Localizer class
ros::ServiceServer server_;
ros::Subscriber a... | {
"domain": "robotics.stackexchange",
"id": 28105,
"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": "ros-industrial, transform",
"url": null
} |
c, file, console
return MUNIT_OK;
}
MunitResult process_test_cases() {
// Things to update:
// 1. the `count` variable - stores the number of test cases
// 2. the `input_lines` array - stores the input lines
// 3. the `expected_lines` array - stores 3 types of outputs for each input line. The order is patch, ... | {
"domain": "codereview.stackexchange",
"id": 39684,
"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": "c, file, console",
"url": null
} |
ros, ros2, diff-drive-controller
robot_description = {"robot_description": xacro_file.toxml()}
spawn_diff_velocity_controller = Node(
package='controller_manager',
executable='spawner.py',
arguments=['minicar_cll', '-c', '/controller_manager'],
output='screen',
)
node_robo... | {
"domain": "robotics.stackexchange",
"id": 38164,
"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": "ros, ros2, diff-drive-controller",
"url": null
} |
To make ends meet... You have been explained by several users that, looking at the toss process itself, one sees that the expectation $E(X)$, that you know is $E(X)=S$, with $$S=\sum_{n\geqslant1}\frac{n}{2^n},$$ solves the relation $$E(X)=1+\frac12E(X).$$ It happens that one can also show directly that $$S=1+\frac12S,... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9865717424942962,
"lm_q1q2_score": 0.9026154253710768,
"lm_q2_score": 0.9149009509324104,
"openwebmath_perplexity": 232.28270164907178,
"openwebmath_score": 0.9081215858459473,
"ta... |
optics, refraction, double-slit-experiment
$$l_{S_2Q}-l_{S_1Q}=\mu_3\Delta x +(\mu_2-\mu_3)t=\mu_3d\frac{y}{2D}+(\mu_2-\mu_3)t $$
Hence, the total optical path difference will be
$$\boxed{l_2-l_1=\mu_3d\frac{y}{2D}+(\mu_2-\mu_3)t + \frac{d^2}{D}}$$
The only error in your solution is that you forgot to include the fact... | {
"domain": "physics.stackexchange",
"id": 80229,
"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": "optics, refraction, double-slit-experiment",
"url": null
} |
newtonian-mechanics, momentum
Denote the canon-projectile system by $S$, the angle formed by the barrel with the ground by $\theta$, and the recoil speed of the canon by $V$.
The absence of forces acting in the horizontal direction implies conservation of horizontal momentum of $S$: $MV=mv_0\cos(\theta)$.
The net fo... | {
"domain": "physics.stackexchange",
"id": 38502,
"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": "newtonian-mechanics, momentum",
"url": null
} |
homework-and-exercises, acoustics, plasma-physics, doppler-effect, shock-waves
Taking the sound in air as $330ms^{-1}$,
the speed of the sound emitted will remain the same even if the source is moving at relativistic speed in the medium ?
There is one similar question,
but it hasn't been answered properly and I want t... | {
"domain": "physics.stackexchange",
"id": 67887,
"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": "homework-and-exercises, acoustics, plasma-physics, doppler-effect, shock-waves",
... |
(or is said to map A onto B) if B = rng f. A surjective function is also referred to as a surjection. A function f (from set A to B) is surjective if and only if for every y in B, there is at least one x in A such that f(x) = y. Bijective. The smaller oval inside Y is the image (also called range) of f. This function i... | {
"domain": "fasngo.org",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9840936073551713,
"lm_q1q2_score": 0.8022650834883827,
"lm_q2_score": 0.8152324915965392,
"openwebmath_perplexity": 563.2614000795674,
"openwebmath_score": 0.7634180784225464,
"tags": nul... |
general-relativity, gravity, energy-conservation, mass-energy, perpetual-motion
In a rocket, you can use an inertial frame of reference. You take into account for your acceleration, and then you see that particles with no forces move in straight lines, particles at rest remain at rest.
You can also work in a frame of ... | {
"domain": "physics.stackexchange",
"id": 27517,
"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": "general-relativity, gravity, energy-conservation, mass-energy, perpetual-motion",
... |
#### mathman
In a ring you have addition, subtraction, and multiplication. A field has division as well. A ring is a group under addition. A field is a group under addition and a group under multiplication. Any further description tends to be more confusing.
#### phyzguy
One big difference is that a ring need not be... | {
"domain": "physicsforums.com",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.963779943094681,
"lm_q1q2_score": 0.8229839898222024,
"lm_q2_score": 0.8539127585282745,
"openwebmath_perplexity": 546.6074096202633,
"openwebmath_score": 0.857922375202179,
"t... |
c++, multithreading, thread-safety
private:
struct Node {
int val;
Node *next;
mutex m;
Node(int val_, Node *next_ = nullptr) : val(val_), next(next_) {}
};
Node *head_, *tail_;
};
void testNThread(int n) {
const int N = 10;
vector<thread> threads(n);
LockBase... | {
"domain": "codereview.stackexchange",
"id": 32572,
"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": "c++, multithreading, thread-safety",
"url": null
} |
fluid-dynamics, surface-tension
The relation of $h$ and $d$ used to simulate this is taken from wiki page which is
$$ h=\frac{4\gamma cos\theta}{\rho g d}$$
It is for water and with the value of all constants substituted we get
$$h\approx \frac{2.96\times10^{-5}}{d}m$$ | {
"domain": "physics.stackexchange",
"id": 24804,
"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": "fluid-dynamics, surface-tension",
"url": null
} |
php, array
}
return $result;
}
$arr = Array
(
0 => Array
(
"id" => 1,
"id_shop" => 1,
"id_lang" => 1,
"id_product" => 1,
"id_field" => 3,
"field_value" => "zxczxc"
),
// find if single and multiple
1 =... | {
"domain": "codereview.stackexchange",
"id": 26153,
"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": "php, array",
"url": null
} |
matlab, amplitude
band pass filter so that you only retain the signal of interest; preserving a bit of roll-off for the filter, that'd be something like filtering to 40–65 Hz. That gives you a remaining information-containing signal bandwidth of 25 Hz, so decimate your signal in the filtering step down to a sampling r... | {
"domain": "dsp.stackexchange",
"id": 7679,
"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": "matlab, amplitude",
"url": null
} |
electromagnetism, general-relativity, electrostatics, causality, coulombs-law
\begin{equation}
\begin{aligned}
\nabla \cdot \mathbf{E} &= \frac{\rho}{\epsilon_0}\\
\nabla \times \mathbf{E} &= -\frac{\partial \mathbf{B}}{\partial t}\\
\nabla \cdot \mathbf{B} &= 0\\
\nabla \times \mathbf{B} &= \mu_0 \mathbf{j} + \frac{1... | {
"domain": "physics.stackexchange",
"id": 70385,
"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": "electromagnetism, general-relativity, electrostatics, causality, coulombs-law",
... |
algorithm, strings, rust, edit-distance
Title: Jaccard distance between strings in Rust The Jaccard distance between two sets is the size of their intersection divided by the size of their union. For example, the distance between {1, 2, 3} and {2, 3, 4} is 2 ({2,3}) / 4 ({1,2,3,4}) = 0.5.
The Jaccard distance can be ... | {
"domain": "codereview.stackexchange",
"id": 16538,
"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": "algorithm, strings, rust, edit-distance",
"url": null
} |
newtonian-mechanics, rotational-dynamics, reference-frames, moment-of-inertia
When considering the rotational kinetic energy with respect to the axis, we get that $E_{kin} = \frac{3}{4}mr^2\omega^2$. This corresponds to the total kinetic rotational energy of the wheel.
When considering the kinetic energy with respect... | {
"domain": "physics.stackexchange",
"id": 93757,
"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": "newtonian-mechanics, rotational-dynamics, reference-frames, moment-of-inertia",
... |
while(len(s)>1 and False):
indexA = randint(0,len(s)-1)
a = s[indexA]
s.remove(a)
indexB = randint(0,len(s)-1)
b = s[indexB]
s.remove(b)
s.append(a+b+a*b)
print(s)
# The only element left in the list
ans1 = s[0]
ans2 = math.factorial(n+1)-1
print("(n+1)! - 1 = "+str(ans2))
In case you are confused about the way I ... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9702399026119352,
"lm_q1q2_score": 0.8340800718295469,
"lm_q2_score": 0.8596637487122112,
"openwebmath_perplexity": 205.19809511520805,
"openwebmath_score": 0.8079631924629211,
"ta... |
ros, multi-robot, icreate
Originally posted by searchrescue on ROS Answers with karma: 50 on 2012-09-13
Post score: 0
If the nodes can publish on the same topic and just equal node names are your problem, you can use anonymous node names. In a launch file, you can use $(anon foo) as node name. Otherwise, you can pass... | {
"domain": "robotics.stackexchange",
"id": 11005,
"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": "ros, multi-robot, icreate",
"url": null
} |
pressure, air
Title: Room ventilation during summer I can never get this right =)
I have a main living room with air con running in summer. But CO2 levels build up.
Now its evening and I want to vent the room but without the room getting too hot again (its still 39C outside)
Do I open the door in the same room as air ... | {
"domain": "physics.stackexchange",
"id": 85781,
"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": "pressure, air",
"url": null
} |
java, android
Title: AsyncTask and IntentService I was disappointed using GCM, so I'll use long polling for crucial parts. Following my approach:
protected void onCreate(Bundle savedInstanceState) {
new LongPolling().execute();
}
private class LongPolling extends AsyncTask<String, Void, String> {
@Override
... | {
"domain": "codereview.stackexchange",
"id": 10022,
"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, android",
"url": null
} |
correctness-proof, induction, quicksort
Suppose that $P(n)$ is a predicate defined on $n\in \{1, 2, \dotsc\}$. If we can show that
$P(1)$ is true, and
$(\forall k < n \;[P(k)])\Longrightarrow P(n)$
Then $P(n)$ is true for all integers $n\ge 1$. | {
"domain": "cs.stackexchange",
"id": 7325,
"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": "correctness-proof, induction, quicksort",
"url": null
} |
ethology, sociality, animal-psychology
Title: Frogs stop croaking at same time I know frogs start croaking at the same time to attract a female.
Why do they all stop at the same time? Calling is a risky activity because it makes the frog conspicuous to predators. When calling in a group, the risk to any given individ... | {
"domain": "biology.stackexchange",
"id": 10893,
"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": "ethology, sociality, animal-psychology",
"url": null
} |
# form a list of number of times each n! is divisible by 5.
cdef unsigned long * p5 = p_list(200000,5)
cdef unsigned long k1, k2, k3, a
cdef unsigned long long result = 0
k1 = 0
while k1 <= 66666:
# case 1: k1 = k2 < k3
k2 = k1
k3 = 200000 - k1 - k2
if 199982 >= (p2[k1]+p2[k2]+p2[k3]) and 49986 >= (p5[k1]+p5[k2]+p5[k... | {
"domain": "jasonbhill.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9873750481179169,
"lm_q1q2_score": 0.8291323726769038,
"lm_q2_score": 0.8397339736884711,
"openwebmath_perplexity": 3230.630958870691,
"openwebmath_score": 0.5202064514160156,
"tags":... |
electromagnetism, energy, electromagnetic-radiation, maxwell-equations, poynting-vector
Title: Instantaneous radiated EM power, integrate over an open or enclosed surface? It's about the propagation of an EM wave in the vacuum.
The instantaneous radiated power outcoming the volume $v$ is expressed as
$$p=-\iiint_v \fr... | {
"domain": "physics.stackexchange",
"id": 44700,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "electromagnetism, energy, electromagnetic-radiation, maxwell-equations, poynting-v... |
thermodynamics
The generalization of this equation for all processes is given by $$\mathrm{d}U = \delta q + \delta w,$$ which is just the statement of energy conservation. We cannot, however, write $$\mathrm{d}U \leq T\mathrm{d}S - p\mathrm{d}V,$$ for this would imply that $T$ and $p$ are defined for a system at all p... | {
"domain": "chemistry.stackexchange",
"id": 15725,
"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": "thermodynamics",
"url": null
} |
c#, object-oriented, .net, interface, polymorphism
System.Threading.Thread.Sleep(1);
}
});
}
private void ProcessDataMessage(NetIncomingMessage message)
{
_Logger.LogInformation("Data recieved from: {0}, payload size: {1} bytes", message.SenderConnection.RemoteEndPoint, message... | {
"domain": "codereview.stackexchange",
"id": 14653,
"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": "c#, object-oriented, .net, interface, polymorphism",
"url": null
} |
5. thank you!
6. Yes, skeeter's method is exactly how I did it also.
I would word it slightly differently, but that is just my way!
P(k)
$k^5-k$ is divisible by 10 ?
P(k+1)
$k^5-k$ being divisible by 10 causes $(k+1)^5-(k+1)$ to also be divisible by 10 ?
If we can show that $(k+1)^5-(k+1)$ must be divisible by 10... | {
"domain": "mathhelpforum.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9877587225460771,
"lm_q1q2_score": 0.8375875459805047,
"lm_q2_score": 0.8479677545357569,
"openwebmath_perplexity": 195.6838280566934,
"openwebmath_score": 0.7586058974266052,
"tag... |
x) =cos x dx. Basic approach: Cover, or tessellate, the region with "tiles" of known area. However, if you are interested in computing the area under the curve (AUC), that is the sum of the portions of (x,y) plane in between the curve and the x-axis, you should preliminarily take the absolute value of y(x). area under ... | {
"domain": "popping1204.site",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9825575173068325,
"lm_q1q2_score": 0.8250869244446827,
"lm_q2_score": 0.8397339696776499,
"openwebmath_perplexity": 349.75428318802983,
"openwebmath_score": 0.8734630346298218,
... |
python, python-3.x
def number_of_nights():
date_one = datetime.date(ps_arrival_date_year, ps_arrival_date_month, ps_arrival_date_day)
date_two = datetime.date(ps_departure_date_year, ps_departure_date_month, ps_departure_date_day)
return (date_two - date_one).days
def ps_nightly_rate():
... | {
"domain": "codereview.stackexchange",
"id": 26824,
"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": "python, python-3.x",
"url": null
} |
electromagnetism, charge
Neutrinos
The photon and Z boson
Gluons
The Higgs boson
Dark matter, as far as we are aware, is also unaffected by electromagnetic fields. | {
"domain": "physics.stackexchange",
"id": 63127,
"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": "electromagnetism, charge",
"url": null
} |
thermodynamics, statistical-mechanics, probability
that give matrix elements between states with different volume, so
the volume and Hamiltonian operators commute and you can take the
derivatives with result to $\beta$ and $P$ as you did classically.
Your partitiion function is
\begin{equation}
Z = {\rm tr} e^{-\beta(... | {
"domain": "physics.stackexchange",
"id": 79146,
"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": "thermodynamics, statistical-mechanics, probability",
"url": null
} |
c++, mvc, qt, unit-conversion
view.cpp
#include "view.h"
#include "controller.h"
#include <QPushButton>
#include <QLineEdit>
#include <QHBoxLayout>
#include <iostream>
View::View(QWidget *parent, QString name)
: QWidget(parent), appName(name) {
this->setWindowTitle(appName);
//Create a horizontal container widg... | {
"domain": "codereview.stackexchange",
"id": 33377,
"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": "c++, mvc, qt, unit-conversion",
"url": null
} |
# Why is the last digit of $n^5$ equal to the last digit of $n$?
I was wondering why the last digit of $n^5$ is that of $n$? What's the proof and logic behind the statement? I have no idea where to start. Can someone please provide a simple proof or some general ideas about how I can figure out the proof myself? Thank... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9773707986486797,
"lm_q1q2_score": 0.8058050030070528,
"lm_q2_score": 0.8244619177503205,
"openwebmath_perplexity": 161.88168673363026,
"openwebmath_score": 0.6153501868247986,
"ta... |
If $$A \in \mathcal N$$ then $$n \notin A$$ and clearly $$|\mathcal N| = g(n-1,r-1)$$.
If $$A \in \mathcal O$$ then $$n+1 \notin A$$ and clearly $$|\mathcal O| = g(n,r)$$.
The total sum is the sum of the blocks, giving us $$\text{(1)}$$.
The function $$g$$ satisfies boundary conditions and without finding a closed f... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.962673109443157,
"lm_q1q2_score": 0.8346720141946732,
"lm_q2_score": 0.8670357632379241,
"openwebmath_perplexity": 191.01392942908348,
"openwebmath_score": 0.9079831838607788,
"tag... |
java, array, interview-questions
Title: Determine if an array is the reverse of a second array I tried to do it by using ArrayUtils.reverse() but I couldn't figure out how to compare this with the other array. So I wrote this instead:
public class Main {
public static void main(String[] args) {
int[] array = new i... | {
"domain": "codereview.stackexchange",
"id": 24585,
"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, array, interview-questions",
"url": null
} |
quantum-mechanics, photons, interference, wavefunction-collapse, quantum-eraser
a time and then later sorting them into groups with peaks of one group on top of troughs of the other group. So the "interference pattern" comes later. Even without the additional beam splitters, it comes later because R1 (coincidence with... | {
"domain": "physics.stackexchange",
"id": 27566,
"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, photons, interference, wavefunction-collapse, quantum-eraser",
... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.