text stringlengths 49 10.4k | source dict |
|---|---|
algorithms, asymptotics
Title: Big O Notation of $n^{0.999999}\log(n)$ I'm taking the MIT Open Courseware for Introduction to Algorithms and I'm having trouble understanding the first homework problem/solution.
We are supposed to compare the asymptotic complexity (big-O) for different functions:
$f_1(n) = n^{0.999999}... | {
"domain": "cs.stackexchange",
"id": 16121,
"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, asymptotics",
"url": null
} |
It is but an exercise to show that this cone with R at its apex is terminal within the category of cones over $$D$$.
Comment Source:Suppose we have a diagram \$$D\$$ in Set. Let the objects in \$$D\$$ be named \$$S_1, \ldots S_n\$$, where each \$$S_i\$$ is a set. Let the arrows in \$$D\$$ be \$$f_1, \ldots f_k\$$ -- t... | {
"domain": "azimuthproject.org",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9664104982195785,
"lm_q1q2_score": 0.8574038392012853,
"lm_q2_score": 0.8872045996818986,
"openwebmath_perplexity": 613.6969684394298,
"openwebmath_score": 0.8684090375900269,
"ta... |
# Why is this n^2 growth?
I am attempting to understand the growth of the following algorithm, which is described as $n^2$ growth in the book I am reading:
"... performs of the order of $n^2$ steps on a sequence of length $n$."
Could someone please explain how this is calculated in the following code, which is also ... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9895109102866638,
"lm_q1q2_score": 0.8350434150000658,
"lm_q2_score": 0.8438951064805861,
"openwebmath_perplexity": 688.4820918269323,
"openwebmath_score": 0.44568929076194763,
"ta... |
ros, calibration, camera-info-manager, camera-calibration
Title: camera calibration and ROI
Hi there,
i've just a litte question regarding calibration of a camera and ROI.
If i have calibration values for a camera and change the roi?
Does this affect the calibration values in anyway and do i have to do the calibratio... | {
"domain": "robotics.stackexchange",
"id": 7032,
"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, calibration, camera-info-manager, camera-calibration",
"url": null
} |
energy, gravity, gravitational-waves, sun
Title: How much energy from gravitatational waves does the sun absorb? I was wondering how much energy from gravitational waves the sun could absorb since it is so big and also has a massive gravitational pull. Is it possible for the sun to trap gravitational waves within its ... | {
"domain": "physics.stackexchange",
"id": 90479,
"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": "energy, gravity, gravitational-waves, sun",
"url": null
} |
This is also called the spectral norm. Most of the spaces that arise in analysis are vector, or linear, spaces, and the metrics on them are usually derived from a norm, which gives the "length" of a vector De nition 7. Photo credit to wikipedia It is common to use the squared 2-Norm instead of 2-Norm itself to measure ... | {
"domain": "babyslove.de",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9859363750229257,
"lm_q1q2_score": 0.8299865329213281,
"lm_q2_score": 0.8418256532040707,
"openwebmath_perplexity": 753.3848851755552,
"openwebmath_score": 0.9124736785888672,
"tags": n... |
ros, ros-melodic, installation
Investigation
I can see that there are three addresses for packages.ros.org.
$ host packages.ros.org
packages.ros.org is an alias for ftp.osuosl.org.
ftp.osuosl.org has address 64.50.233.100
ftp.osuosl.org has address 140.211.166.134
ftp.osuosl.org has address 64.50.236.52
ftp.osuosl.org... | {
"domain": "robotics.stackexchange",
"id": 34973,
"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, ros-melodic, installation",
"url": null
} |
# Pdf of the sum of two independent Uniform R.V., but not identical
Question. Suppose $$X \sim U([1,3])$$ and $$Y \sim U([1,2] \cup [4,5])$$ are two independent random variables (but obviously not identically distributed). Find the pdf of $$X + Y$$.
So far. I'm familiar with the theoretical mechanics to set up a solu... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9773708019443872,
"lm_q1q2_score": 0.8420422941320158,
"lm_q2_score": 0.8615382129861583,
"openwebmath_perplexity": 251.25733041367928,
"openwebmath_score": 0.9806898832321167,
"ta... |
c#, reinventing-the-wheel, ip-address
The tests
using System;
using Microsoft.VisualStudio.TestTools.UnitTesting;
namespace Rubberduck.Katas.Network.Tests
{
[TestClass]
public class Ip4AddressTests
{
[TestMethod]
public void CanCreateFromString()
{
Ip4Address ip = new I... | {
"domain": "codereview.stackexchange",
"id": 17004,
"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#, reinventing-the-wheel, ip-address",
"url": null
} |
quantum-mechanics, homework-and-exercises, hilbert-space, linear-algebra
Title: Linear independence of a set of states, and the non-vanishing determinant of the matrix comprised of their inner products So I have a very basic question in linear algebra, but I'll phrase it in terms of QM.
Suppose we are given a set of $... | {
"domain": "physics.stackexchange",
"id": 65811,
"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, hilbert-space, linear-algebra",
"url"... |
ros, roslaunch, turtlebot, turtlebot-bringup, icreate
[ 1101.189231] init: turtlebot main process (11269) terminated with status 1
[ 1101.189367] init: turtlebot main process ended, respawning
[ 1101.350655] init: turtlebot main process (11287) terminated with status 1
[ 1101.350798] init: turtlebot main process ended... | {
"domain": "robotics.stackexchange",
"id": 10588,
"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, roslaunch, turtlebot, turtlebot-bringup, icreate",
"url": null
} |
image-processing, opencv, c++
if (sym_occur>0) //log of zero goes to infinity
{
cnt++;
entr += (sym_occur / total_size)*(log2(total_size / sym_occur));
}
}
cout << "cnt: " << cnt << endl;
return entr;
}
void imhist(Mat image, int histogram[])
{
// initiali... | {
"domain": "dsp.stackexchange",
"id": 5787,
"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": "image-processing, opencv, c++",
"url": null
} |
quantum-mechanics, electromagnetism, quantum-field-theory
Actually, non-relativistic QM can also be expressed that way. Start with the traditional formulation in terms of the position operator $X$. (I'll consider only one dimension for simplicity.) This single operator $X$ is really just a convenient way of packaging-... | {
"domain": "physics.stackexchange",
"id": 73359,
"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, electromagnetism, quantum-field-theory",
"url": null
} |
quantum-mechanics, harmonic-oscillator, ground-state
Title: Time free evolution of the harmonic ground state (Quantum mechanics) I have an atom in the ground state for a harmonic potential. At time $t = 0$ the parabolic potential is switched off.
How can I derive the time evolution of the wave function $\psi(t; x)$ du... | {
"domain": "physics.stackexchange",
"id": 84588,
"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, harmonic-oscillator, ground-state",
"url": null
} |
orbital-motion, astronomy, geophysics
Which, for convenience, we can convert back to a per millennia value rather than per century:
$$365.2563632882 - 0.00012380178T + 0.000014270314T^2 + 0.0000000409688T^3 - 0.000000001447616T^4 + 0.000000000106231T^5 + 0.000000000372007T^6$$
This polynomial approximation is only app... | {
"domain": "physics.stackexchange",
"id": 100268,
"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": "orbital-motion, astronomy, geophysics",
"url": null
} |
ros, arduino, rosserial, robot
Title: Rosserial Arduino control by keyboard
I wonder use keyboard to control My arduino for making a little car.
So I use the package "ros-keyboard" and write a node myself(click me to github).
And it seems that two packages' data types are different, even the arduino recive topic mess... | {
"domain": "robotics.stackexchange",
"id": 23534,
"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, arduino, rosserial, robot",
"url": null
} |
design-patterns, kotlin, chess
Title: Design that avoids undesired dependencies in Kotlin for a chess engine I'm trying to come up with a design for a chess engine in Kotlin that hides implementation details, and that ensures that such an implementation cannot accidentally become spaghetti.
Client side example code
I ... | {
"domain": "codereview.stackexchange",
"id": 37780,
"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": "design-patterns, kotlin, chess",
"url": null
} |
programming-challenge, swift
Title: Project Euler, Challenge #5 in Swift The problem:
2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder.
What is the smallest positive number that is evenly divisible by all of the numbers from 1 to 20?
The solution in Swift:
imp... | {
"domain": "codereview.stackexchange",
"id": 15258,
"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": "programming-challenge, swift",
"url": null
} |
c#, authentication, mvvm, xaml, xamarin
Somewhere in resources you should define BooleanToVisibilityConverter:
<BooleanToVisibilityConverter x:Key="BooleanToVisibilityConverter"/>
And that's all. You need to eliminate all the view related stuff from the view model in such way. It is how MVVM have to be implemented. | {
"domain": "codereview.stackexchange",
"id": 27567,
"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#, authentication, mvvm, xaml, xamarin",
"url": null
} |
measurements, machining, metrology
http://www.tool-precision.com/kpt-62.htm
Or even a coordinate measuring machine (which will measure the actual height):
https://www.sinowon.com/micromea10128-moving-bridge-scanning-coordinate-measuring-machine
However, these bely what you actually need: You do not need to measure (i... | {
"domain": "engineering.stackexchange",
"id": 4816,
"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": "measurements, machining, metrology",
"url": null
} |
reinforcement-learning, value-functions, convergence, reward-functions, double-dqn
Distributional Reinforcement Learning: algorithms like $Q$-learning, DQN, Double DQN, etc., they all learn what we can call values, or scalars, or point estimates. Given a state-action pair $(s, a)$, such a $Q$-value represents the expe... | {
"domain": "ai.stackexchange",
"id": 789,
"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": "reinforcement-learning, value-functions, convergence, reward-functions, double-dqn",
"u... |
solid-mechanics, buckling
A quick note here: If you can't assume that you have a pinned structure you should use one the factor for effective length below
Since you want a safety factor $n_b$, what you need:
$$n_b = \frac{P_cr}{P_{\sqrt{2}a}} \rightarrow P_{\sqrt{2}a}= \frac{1}{n_b} \left(\frac{n\pi}{l}\right)^2 EI $... | {
"domain": "engineering.stackexchange",
"id": 3700,
"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": "solid-mechanics, buckling",
"url": null
} |
cc.complexity-theory, approximation-hardness, semidefinite-programming, unique-games-conjecture
Is the above right?
And if so then how is a specific $\tilde{E}$ chosen to do the relaxation? The degree $r$ pseudo-expectation operator operates on polynomials of at most degree $r$. Since the pseudo-expectation operator... | {
"domain": "cstheory.stackexchange",
"id": 3150,
"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": "cc.complexity-theory, approximation-hardness, semidefinite-programming, unique-gam... |
discrete-signals, signal-analysis, delay, shape-analysis
Is there recommended literature on very-short signal processing?
Would users share their best-practice experience on such signals, that ought to be processed? Though problem! However, signal processing might have a tool at hand: It's called compressive sensing, ... | {
"domain": "dsp.stackexchange",
"id": 3078,
"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": "discrete-signals, signal-analysis, delay, shape-analysis",
"url": null
} |
$w(p)$ is the sum of weights of the path $p$
## We first show
At the start of each iteration of the while loop in Dijkstra’s algorithm, $v.d = \delta(s, v)$ for each vertex $v \in S$ (*)
1) Base Case:
|S| = 0, i.e when $S = \varnothing$, the statement is vacuously true.
2) Inductive Step:
Suppose the claim holds wh... | {
"domain": "perfectroc.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9865717460476701,
"lm_q1q2_score": 0.8606332824188186,
"lm_q2_score": 0.8723473846343394,
"openwebmath_perplexity": 987.3364295752979,
"openwebmath_score": 0.6448825597763062,
"tags":... |
moveit
Title: MoveIt loading CHOMP library from wrong path
I wanted to try the CHOMP path planner with MoveIt, but when I try that I get the following error:
[ERROR] [1642153041.575042140]: Exception while loading planner 'chomp_interface/CHOMPPlanner': Failed to load library /opt/ros/noetic/lib//libchomp_planner_pl... | {
"domain": "robotics.stackexchange",
"id": 37353,
"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": "moveit",
"url": null
} |
quantum-mechanics, electromagnetism, particle-physics, experimental-physics, quantum-electrodynamics
However, this still does not answer the core of my question here which is, even so with this applied torque mentioned, why is then a free electron as suggested by known physics, under this torque not forced to any tran... | {
"domain": "physics.stackexchange",
"id": 92912,
"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, electromagnetism, particle-physics, experimental-physics, quant... |
ros, ros-controllers, ros-control, realtime
Title: Proper use of ros_control's RealtimeBuffer
I am new to real-time programming, and I am trying to learn how to properly use realtime_tools::RealtimeBuffer in my ros_control controller by looking at source code from related packages. After looking at the source code of... | {
"domain": "robotics.stackexchange",
"id": 20622,
"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, ros-controllers, ros-control, realtime",
"url": null
} |
python, csv, statistics, quiz
if student_class == 7:
print('Enter your score for test 2')
test2 = int(input())
print('Enter your score for test 3')
test3 = int(input())
with open('class7.csv', 'a', newline='') as fp:
a = csv.writer(fp,delimiter=',')
data=[[name,score,test2,t... | {
"domain": "codereview.stackexchange",
"id": 18989,
"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, csv, statistics, quiz",
"url": null
} |
There is a special case where any $r$, $n$ and $m$ will work for some $a$: if you place the polygons along a single strip, $a$ just needs to be small enough so that the strip doesn't intersect itself. More generally, for any planar arrangement of polygons, if no vertex lies in the interior of the figure, you can embed ... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9857180648162209,
"lm_q1q2_score": 0.8214231135751279,
"lm_q2_score": 0.8333246015211008,
"openwebmath_perplexity": 282.1130956226579,
"openwebmath_score": 0.7186155915260315,
"tag... |
Jamaica: STRAND I UNIT 34 Pythagoras' Theorem and Trigonometric Ratios: CSEC Multiple Choice Questions © CIMT and e-Learning Jamaica 1 For each of these. An answer key is included. BE SURE TO SHOW ALL WORK FOR EACH QUESTION! 1. What is the ratio of the smaller original Algebra Two with Trig Test 2008. For each of these... | {
"domain": "casaralli-allevamento.it",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9828232909876816,
"lm_q1q2_score": 0.8211326754760375,
"lm_q2_score": 0.8354835330070839,
"openwebmath_perplexity": 1886.9795827056453,
"openwebmath_score": 0.465090543031... |
beginner, c, formatting, io
//we encountered a non-whitespace char. Print all 'saved' whitespaces.
This is incorrect. A whitespace is any character that can produce indent. It specifically includes tabs (and new lines). But what you check is non-space characters. This is easy enough to fix, just remove "white" bo... | {
"domain": "codereview.stackexchange",
"id": 33524,
"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, c, formatting, io",
"url": null
} |
cc.complexity-theory, big-picture, physics
Title: Energy considerations on computation In order to check my understanding, I would like to share some thoughts about energy requirements of computation. This is a follow up to my previous question and might be related to Vinay's question about conservation laws.
It occou... | {
"domain": "cstheory.stackexchange",
"id": 889,
"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": "cc.complexity-theory, big-picture, physics",
"url": null
} |
homework-and-exercises, general-relativity, spacetime, differential-geometry, linear-algebra
$$n^a = \alpha \left(\frac{\partial}{\partial t}\right)^a + \beta \left(\frac{\partial}{\partial x}\right)^a + \gamma \left(\frac{\partial}{\partial y}\right)^a + \delta \left(\frac{\partial}{\partial z}\right)^a.$$
Imposing $... | {
"domain": "physics.stackexchange",
"id": 86552,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "homework-and-exercises, general-relativity, spacetime, differential-geometry, line... |
python, performance, pandas
And so finally I get:
id variable value
1 x 5
1 x1 15
1 y 5
1 y1 8
2 x 7
2 x1 19
2 y 7
2 y1 10
But surely there must be a better way to do this. Perhaps where I could avoid for loop and sorting, a... | {
"domain": "codereview.stackexchange",
"id": 38629,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, performance, pandas",
"url": null
} |
electromagnetism, electric-circuits, electric-current
$$
RI+L\frac{dI}{dt} = U
$$
where I wrote vectorially the system: $I = (i_A,i_B)$, $U=(u,0)$, $R = \begin{pmatrix} R_A & 0 \\ 0 & R_B\end{pmatrix}$ (resistance matrix) and $L = \begin{pmatrix} L_A & M \\ M & L_B\end{pmatrix}$ (inductance matrix). While before $-L^{... | {
"domain": "physics.stackexchange",
"id": 87431,
"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-circuits, electric-current",
"url": null
} |
newtonian-mechanics, angular-momentum, rotational-dynamics
That paper is referenced in "Towards a Prototype of a Spherical Tippe Top" by Ciocci, Malengier, Langerock, and Grimonprez, also mentioned is this reference:
T. Tokieda, “Private communications,” in Proceedings of the Geometric Mechanics and its Applications ... | {
"domain": "physics.stackexchange",
"id": 48255,
"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, angular-momentum, rotational-dynamics",
"url": null
} |
c++, c++11
static unique_file_ptr make_file(const char * filename, const char * flags)
{
return unique_file_ptr(std::fopen(filename, flags), std::fclose);
}
Edit. Unlike shared_ptr, unique_ptr only invokes the deleter if the pointer is non-zero, so we can simplify the implementation of make_file.
Third Update: It i... | {
"domain": "codereview.stackexchange",
"id": 30009,
"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++, c++11",
"url": null
} |
$\int_{-3}^{3} 2\sqrt{9-x^2}~dx$
$x \sqrt{9-x^2}+9 \arcsin \left(\frac{x}{3}\right) ~|^{3}_{-3}$
$9\pi$
3. Hi !
Originally Posted by wingless
If you know how to evaluate double integrals it's easy.
I'm not sure to get the whole meaning of "evaluate double integrals"... I know how to calculate them that's all :P
Th... | {
"domain": "mathhelpforum.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9706877709445759,
"lm_q1q2_score": 0.819158654104232,
"lm_q2_score": 0.8438951005915208,
"openwebmath_perplexity": 753.1757450262119,
"openwebmath_score": 0.9136770963668823,
"tags... |
game, lua
-- Draw ball
love.graphics.setColor(255, 255, 255)
love.graphics.circle("fill", ball.x, ball.y, ball.radius)
end 1) Instead of this:
if ball.direction == "uur" then ball.direction = "uul"
elseif ball.direction == "ur" then ball.direction = "ul"
elseif ball.direction == "urr" then ball.direction = "ull"
e... | {
"domain": "codereview.stackexchange",
"id": 15085,
"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": "game, lua",
"url": null
} |
gazebo, sdformat
Title: Importing collada meshes in gazebo
I created a robot mesh in Blender, and now I want to import it in Gazebo. The problem is that, when I insert the model in Gazebo, the shape is good, but it is completely black, altought it had different colours in Blender. To color the object in Blender, I ad... | {
"domain": "robotics.stackexchange",
"id": 3325,
"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, sdformat",
"url": null
} |
python, performance, python-3.x, programming-challenge, divide-and-conquer
Here is my solution to this task using divide and conquer (in Python) -
class Solution:
def get_skyline(self, buildings):
"""
:type buildings: List[List[int]]
:rtype: List[List[int]]
... | {
"domain": "codereview.stackexchange",
"id": 34676,
"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, python-3.x, programming-challenge, divide-and-conquer",
... |
rosjava
/org.ros.rosjava.sensor_msgs-0.0.0.jar:/home/cassou/.m2/repository/com/google/guava/org.ros.rosjava.guava/r07/org.ros.rosjava.guava-r07.jar:/home/cassou/.m2/repository/dnsjava/org.ros.rosjava.dnsjava/2.1.1/org.ros.rosjava.dnsjava-2.1.1.jar:/home/cassou/.m2/repository/org/apache/commons/com.springsource.org.apa... | {
"domain": "robotics.stackexchange",
"id": 6641,
"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": "rosjava",
"url": null
} |
types for both complex and numbers. The mathematician opinions on complex number angle of a complex exponential ( i.e., a phasor ) then... Axes, so we know this is the angle that this ray makes with the of! |Re^ ( iphi ) |=|r| which has coordinates ( 4,3 ) interpreted geometrically axes...?????????????????! Number and ... | {
"domain": "carfol.pl",
"id": null,
"lm_label": "1. Yes\n2. Yes\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9835969655605173,
"lm_q1q2_score": 0.8884774407223296,
"lm_q2_score": 0.9032942067038785,
"openwebmath_perplexity": 641.9323531297422,
"openwebmath_score": 0.8969402313232422,
"tags": ... |
jenkins
* Time stamping.
-- root <root@host153.storm.willowgarage.com> Sun, 23 Jun 2013 21:35:57 +0000
ros-groovy-p2os-driver (1.0.0-2oneiric) oneiric; urgency=high
* autogenerated | {
"domain": "robotics.stackexchange",
"id": 14672,
"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": "jenkins",
"url": null
} |
regular-languages, finite-automata
In other words, besides the "rejecting" state $R$ that behaves as a black hole, we have, for $i=0,1,2,3,4$,
a state $Z_i$ which represents words of the form $0^*$ whose number of 0s is the same as $i$ modulo 5.
a state $S_i$ which represents words of the form $0^*1^*1$ whose number ... | {
"domain": "cs.stackexchange",
"id": 13387,
"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": "regular-languages, finite-automata",
"url": null
} |
homework-and-exercises, newtonian-mechanics, forces, spring, weight
Title: Relationship between angles
Question: Find the relationship between angles $\theta$ and $\phi$
using the equations of equilibrium and solve for $\theta$.
Express your equation for $\theta$ in terms of $\phi$.
Hint: To derive the relationship... | {
"domain": "physics.stackexchange",
"id": 9466,
"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, newtonian-mechanics, forces, spring, weight",
"url": null... |
representation-theory, dirac-equation, spinors, dirac-matrices, clifford-algebra
Since $(\not P -m)(\not P +m)=0$ we can easily do a reference frame transformation such that
$$
\left\{
\begin{matrix}
u^{(\alpha)} = c_{\alpha}(\not P +m)u^{(\alpha)}(m,0)\\
v^{(\alpha)} = d_{\alpha}(\not P -m)v^{(\alpha)}(m,0)
\end{m... | {
"domain": "physics.stackexchange",
"id": 62939,
"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": "representation-theory, dirac-equation, spinors, dirac-matrices, clifford-algebra",... |
python, file
Title: Retrieve Data from TOC I aim to convert the TOC of The Python Language Reference — Python 3.6.3 documentation to a structured data with the following steps:
Copy contents to a plr.md file:
In [1]: with open('plr.md') as file:
...: content = file.read()
In [2]: content
Out[2]: '\n\n- \\1. In... | {
"domain": "codereview.stackexchange",
"id": 28383,
"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, file",
"url": null
} |
ros-kinetic, ubuntu, ubuntu-xenial
Aha!!! The reference generated for ros::init by gcc-4.8 does not match the reference for ros::init in libroscpp! So, the linker is going bananas and rightfully so!!
This is because libroscpp has been compiled with Ubuntu 16.04 default compiler without old ABI backwards compatibility ... | {
"domain": "robotics.stackexchange",
"id": 33616,
"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-kinetic, ubuntu, ubuntu-xenial",
"url": null
} |
beginner, haskell, data-visualization
lines = [Line segment | segment <- pairs, all (\(_,y) -> b <= y && t >= y)) segment]
But you're the judge on which variant you want to use.
Other remarks
Thank you for using type signatures. Keep in mind that it's uncommon to use them in local bindings (where), as the outer func... | {
"domain": "codereview.stackexchange",
"id": 36319,
"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, haskell, data-visualization",
"url": null
} |
c#
Title: Return product ID, if it is specified in a form I often encounter this problem - I need to get some value, if it exists, and then do something with that value.
Getting that value becomes a separate method, and since that value might not exist, I need to indicate that somehow. For example, I might have a met... | {
"domain": "codereview.stackexchange",
"id": 28813,
"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#",
"url": null
} |
ros, catkin-make, include, ros-control, headers
With Catkin's verbose flag turned on, I get the following output indicating that the Indigo headers are first in the include list. I don't know how those headers got put first, but I need a way of moving them to the end of my include list using my package's CMakeList.txt... | {
"domain": "robotics.stackexchange",
"id": 21039,
"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, catkin-make, include, ros-control, headers",
"url": null
} |
quantum-teleportation
Title: In quantum teleportation, how do the measurement & reconstruction steps work mathematically? In the quantum teleportation protocol, we have Alice trying to teleport a qbit $\begin{bmatrix} \alpha \\ \beta \end{bmatrix}$ to Bob. Alice has two qbits in her possession, one of which starts out... | {
"domain": "physics.stackexchange",
"id": 51456,
"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-teleportation",
"url": null
} |
lagrangian-formalism, variational-principle, action, classical-field-theory, boundary-terms
Title: Why are the Euler-Lagrange equations invariant if we add a surface term to the action? In the lecture on Noether's theorem and the Lagrange formulation of classical field theories, my professor wrote
A symmetry is a fie... | {
"domain": "physics.stackexchange",
"id": 24612,
"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": "lagrangian-formalism, variational-principle, action, classical-field-theory, bound... |
ocean, paleoclimatology, rivers
Title: How has river to ocean flux changed over the last 500 million years? Do we have any rough indices of how this flux has changed? I'm particularly interested in knowing whether the flux was higher or lower during the time of Pangaea, or during the time of the unusually warm Eocene ... | {
"domain": "earthscience.stackexchange",
"id": 8,
"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": "ocean, paleoclimatology, rivers",
"url": null
} |
algorithms, time-complexity
Title: How to identify Dominant terms in big-O notation and understand Time Complexity of an algorithm? I understand that Time Complexity is the measure of how an algorithm scales with respect to the input size.
Let us say an algorithm is having a runtime of O($3^n$) + O($n^{20}$)
In order... | {
"domain": "cs.stackexchange",
"id": 21349,
"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, time-complexity",
"url": null
} |
The slope (gradient) function would be g(x)=dy/dx ... tells you the gradient at position x.
3. Mar 27, 2014
### dilloncyh
I'm still a bit confused.
average slope = detla y / delta x seems very legit, but take y=x^2 and y=x as example.
If I want to calculate the average slope between x=0 and x=1, then by calculatin... | {
"domain": "physicsforums.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9621075744568837,
"lm_q1q2_score": 0.8565588212477415,
"lm_q2_score": 0.8902942290328344,
"openwebmath_perplexity": 566.2114124021376,
"openwebmath_score": 0.8125982284545898,
"tag... |
quantum-mechanics, topology, berry-pancharatnam-phase
This is because every energy constraint is an $M-1$ dimensional hypersurface and the conical intersection is $M-2$ dimensional being the intersection of two constraints.
Assuming that the conical surface equation in the parameter space is:
$$V^2(x) = U^2(x) + W^2(x... | {
"domain": "physics.stackexchange",
"id": 29864,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "quantum-mechanics, topology, berry-pancharatnam-phase",
"url": null
} |
python, algorithm
# if nums1 or nums2 is empty or k is 0, we're done
if not nums1 or not nums2 or not k:
return solution
# first initialize min_heap with all
# (nums1[0..n], nums2[0]) pairs with
# (sum of pair, (nums1[0..n], nums2[0]), index of nums2)
for value in n... | {
"domain": "codereview.stackexchange",
"id": 30255,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, algorithm",
"url": null
} |
# Find the smallest positive number k
For any positive number $$n$$, let $$a_n = \sqrt{2+\sqrt{2+{...+\sqrt{2+\sqrt 2}}}}$$ ($$2$$ appear $$n$$) and let $$k$$ is positive number such that $$\displaystyle\frac{1}{k}\leq\frac{3-a_{n+1}}{7-a_n}$$ for any positive number $$n$$, then find the smallest positive number $$k$$... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.977022630759019,
"lm_q1q2_score": 0.8589462922559571,
"lm_q2_score": 0.8791467722591728,
"openwebmath_perplexity": 255.4639680597133,
"openwebmath_score": 0.9999126195907593,
"tags... |
The system can be solved efficiently with the MATLAB backslash operator and is numerically stable because ergodic P cannot have ones along the main diagonal (otherwise P would be reducible). This method is recommended in [5].
• Because ${\pi }^{\ast }$ is the unique left eigenvector associated with the Perron-Frobeniu... | {
"domain": "mathworks.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9888419684230911,
"lm_q1q2_score": 0.8152625499031027,
"lm_q2_score": 0.8244619220634456,
"openwebmath_perplexity": 504.44952538884286,
"openwebmath_score": 0.8319517970085144,
"tags":... |
reinforcement-learning, papers, trust-region-policy-optimization, action-spaces
Title: Why does each component of the tuple that represents an action have a categorical distribution in the TRPO paper? I was going through the TRPO paper, and there was a line under Appendix D "Approximating Factored Policies with Neural... | {
"domain": "ai.stackexchange",
"id": 2465,
"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": "reinforcement-learning, papers, trust-region-policy-optimization, action-spaces",
"url... |
• #### 1. One side of rectangular field is 15 meter and one of its diagonals is 17 meter. Then find the area of the field.
1. \begin{aligned} 120m^2 \end{aligned}
2. \begin{aligned} 130m^2 \end{aligned}
3. \begin{aligned} 140m^2 \end{aligned}
4. \begin{aligned} 150m^2 \end{aligned}
Explanation:
\begin{aligned}
\text... | {
"domain": "mastguru.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9941800416228128,
"lm_q1q2_score": 0.8128162334005081,
"lm_q2_score": 0.8175744828610095,
"openwebmath_perplexity": 5717.0662798459825,
"openwebmath_score": 0.8626459836959839,
"tags": ... |
c++, calculator
// dealing with functions
num1 = number_stack.back();
number_stack.pop_back();
if (word == "min")
{
num2 = number_stack.back();
number_stack.pop_back();
num1 = num1 < num2 ? num1 ... | {
"domain": "codereview.stackexchange",
"id": 37688,
"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++, calculator",
"url": null
} |
general-relativity, spacetime, coordinate-systems, time-dilation, observers
$$
r(t) = r_A
\hskip2cm
\phi(t) = \omega t
\tag{2}
$$
where $r_A$ and $\omega$ are constants, meaning that they are independent of the coordinate $t$. Object A's circular orbit has the form (2) for a special value of $\omega$ that we won't n... | {
"domain": "physics.stackexchange",
"id": 58333,
"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, spacetime, coordinate-systems, time-dilation, observers",
"u... |
ros, bagfile, clock
Title: rosbag not publishing clock
I recorded some bagfiles with different experiments, then using the rosbag cookbook I change some timestamps (http://www.ros.org/wiki/rosbag/Cookbook).
Now when playing back the new bagfiles, the clock is not being publish.
I've already set the use_sim_time param... | {
"domain": "robotics.stackexchange",
"id": 14276,
"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, bagfile, clock",
"url": null
} |
python, python-3.x, python-requests
Your payload is prematurely serialised. I realise that the documentation told you to do this, but the documentation is wrong. You shouldn't be manually writing out a JSON representation in a string constant and then passing that to data=; start with a dictionary and pass that to jso... | {
"domain": "codereview.stackexchange",
"id": 43302,
"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, python-requests",
"url": null
} |
general-relativity, lagrangian-formalism, differential-geometry, metric-tensor, curvature
Title: Transform mixed vielbein expressions to $\sqrt{-g}$ times traces in massive gravity? In the Massive Gravity review by Claudia de Rham the massive gravity action is given by
with mass potential
in vielbein formulation.
Eq... | {
"domain": "physics.stackexchange",
"id": 55989,
"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, lagrangian-formalism, differential-geometry, metric-tensor, cu... |
python
def parse_args():
parser = arg.ArgumentParser(prog="BayesMonophyly", \
description="Perform bayesian monophyly test on output from MrBayes" + \
" or BEAST. Test is simple comparison of number of" + \
" trees that have monophyly versus number of trees" ... | {
"domain": "codereview.stackexchange",
"id": 14547,
"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",
"url": null
} |
quantum-field-theory, mathematical-physics, correlation-functions, wick-rotation, wightman-fields
Lastly, is there some sort of uniqueness result for the Wightman functions? That is, if I have two sets of Wightman functions $\{\mathcal{W}_n\}$ and $\{\tilde{\mathcal{W}}_n\}$, do they correspond to the same scalar fiel... | {
"domain": "physics.stackexchange",
"id": 93599,
"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, mathematical-physics, correlation-functions, wick-rotation, ... |
terminology, oscillators, vibrations
This was added after the question has already been marked as answered
I've been doing some more research and I would like to add a collection of interesting resources. Maybe it will help someone out in the future:
"Drum Head vibrations" (snaresience.com): http://www.snarescience.c... | {
"domain": "physics.stackexchange",
"id": 78073,
"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": "terminology, oscillators, vibrations",
"url": null
} |
javascript, html, game, dom
engine.elements.alterHTML("cycle",this.dayStatus);
engine.multiplier = 3;
}
this.nextDayCycle = function() {
var index = this.statusCycle.indexOf(this.dayStatus);
var cycleNext = this.statusCycle[(index+1)];
if (cycleNext) {
this.dayStatus... | {
"domain": "codereview.stackexchange",
"id": 5106,
"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, html, game, dom",
"url": null
} |
python, python-2.x, file, configuration
Your code is unnecessarily indented 4 spaces; start everything top-level at the beginning of the lines.
One newline between methods within a class.
You need no pass at the end of __init__ or tracksPath and possibly elsewhere.
"snake_case", rather than "camelCase", is the norm in... | {
"domain": "codereview.stackexchange",
"id": 24629,
"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, file, configuration",
"url": null
} |
java, xml, swing
Title: XML parsing and data conversion with Swing This is my first forray into Java Swing and it's not exactly pretty. I have quite a few methods, and a lot of stuff going on (XML parsing, data conversion, etc) and I'm just wondering what kind of general improvements / redundancies I can eliminate fro... | {
"domain": "codereview.stackexchange",
"id": 1217,
"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, swing",
"url": null
} |
java, performance, algorithm, graph
// code for computing cheapest fare for current adjacent station.....
if (!stationsExplored.contains(adjacentStation.getKey()) && !stationsUnexplored.contains(adjacentStation.getKey())) { //O(N)
stationsUnexplored.add(adjacentStation.getKey());
}... | {
"domain": "codereview.stackexchange",
"id": 11986,
"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, performance, algorithm, graph",
"url": null
} |
optics
Title: Why do fluorescent microscopes employ a dichromatic mirror? I was looking into building a fluorescent microscope and this is the design everyone uses.
But I'm wondering how come this design isn't used instead, using a shared light source for brightfield or fluorescence microscopy. | {
"domain": "physics.stackexchange",
"id": 41238,
"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",
"url": null
} |
discrete-signals, signal-analysis, fourier-transform
Title: GSP as an extenstion of DSP I am a PhD. in pure mathematics. | {
"domain": "dsp.stackexchange",
"id": 8861,
"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": "discrete-signals, signal-analysis, fourier-transform",
"url": null
} |
javascript, jquery, json, ecmascript-6, quiz
/*
* Performs appropriate task on clicking button based on answerSubmitted
*/
function nextButtonClicked() {
if (answerSubmitted)
nextQuestion();
else
submitAnswer();
}
/*
* Validates and submits the user's answer, changes document and styles accor... | {
"domain": "codereview.stackexchange",
"id": 29780,
"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, jquery, json, ecmascript-6, quiz",
"url": null
} |
ros, ros2, std-msgs, publisher
Title: [ROS2] publishing UInt16
Hi, I would like to publish a message without it being of type std_msgs::msg::String.
std_msgs::msg::UInt16 statuswoord;
auto publisher = node->create_publisher<std_msgs::msg::UInt16>("motor_info", rmw_qos_profile_default);
auto msg = std::make_share... | {
"domain": "robotics.stackexchange",
"id": 34734,
"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, std-msgs, publisher",
"url": null
} |
There are only 9481 pairs $H,k$ to consider, so even my lousy python implementation which uses a hash table to keep track of all those pairs is fast enough.
Michael Lugo's method gives $(1-3/51)^{51} \approx 0.0454176$, which is quite close to the right answer. The correct probability is slightly larger since if we im... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9688561730622296,
"lm_q1q2_score": 0.819596546797175,
"lm_q2_score": 0.8459424314825853,
"openwebmath_perplexity": 272.4519892005141,
"openwebmath_score": 0.920294463634491,
"tags"... |
4. In geometry, Euler's theorem states that the distance d between the circumcentre and incentre of a triangle is given by = (−) or equivalently − + + =, where R and r denote the circumradius and inradius respectively (the radii of the circumscribed circle and inscribed circle respectively). We know that inradius(r)=Ar... | {
"domain": "coffeegallery.la",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9715639669551474,
"lm_q1q2_score": 0.8032033963979948,
"lm_q2_score": 0.8267118004748677,
"openwebmath_perplexity": 883.9167367789622,
"openwebmath_score": 0.7556191682815552,
"tags... |
python, python-3.x, parsing, datetime, formatting
Title: Python process tracklist, get cumulative timestamp of each track The code below parses a tracklist (sample input below) and generates a six-member tuple, including cumulative timestamps in mm:ss. (sample output at bottom).
couldn't easily see how to rewrite it ... | {
"domain": "codereview.stackexchange",
"id": 35814,
"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, parsing, datetime, formatting",
"url": null
} |
fluid-statics, surface-tension
So, it would be very helpful if you could explain why does a metal paper clip float even though it has an acute contact angle with water.
Please note that the question Surface tension: the paper clip experiment is not same as this one. It doesn't discuss about the obtuse contact angles ... | {
"domain": "physics.stackexchange",
"id": 68826,
"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-statics, surface-tension",
"url": null
} |
ros-melodic, ubuntu, ubuntu-bionic
CAUTION: Release of this distribution is pending.
ROS Melodic Morenia has not been fully released yet, so these instructions will not entirely work.
Trying to build this from source is not going to change it: rosinstall_generator won't be able to find a desktop_full package (as it ... | {
"domain": "robotics.stackexchange",
"id": 30750,
"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-melodic, ubuntu, ubuntu-bionic",
"url": null
} |
javascript, cryptography, integer
e+1<r?new u(e+1):new o(i,!1)},o.prototype.prev=function(){var e=this.value;return this.sign?new o(m(e,1),!0):b(e,1,this.sign)},u.prototype.prev=function(){var e=this.value;return e-1>-r?new u(e-1):new o(i,!0)};var _=[1];while(_[_.length-1]<=t)_.push(2*_[_.length-1]);var D=_.length,P=_... | {
"domain": "codereview.stackexchange",
"id": 17392,
"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, cryptography, integer",
"url": null
} |
TutorMe homepage
Subjects
PRICING
COURSES
Start Free Trial
Krystyna I.
Researcher in a field of applied mathematics
Tutor Satisfaction Guarantee
Geometry
TutorMe
Question:
Define the equation of the tangent to parabola $$y = x^2$$ parallel to the line $$y = x$$.
Krystyna I.
The equation of tangent to the line $$y = ... | {
"domain": "tutorme.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9916842222598318,
"lm_q1q2_score": 0.8468118098188594,
"lm_q2_score": 0.8539127585282744,
"openwebmath_perplexity": 107.36700235085647,
"openwebmath_score": 0.9418515563011169,
"tags": n... |
python, algorithm, python-3.x
Title: Solve the jug problem for n jugs Apart from PEP8 issues which I will eventually get my head around, what do you think of my update to the 3 jugs jug problem (which now works for n number of jugs)
For jugs size A, B and C find the minimum number of steps to reach D, where D < max (... | {
"domain": "codereview.stackexchange",
"id": 34338,
"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, algorithm, python-3.x",
"url": null
} |
b) $2^{n^2} We already noted that while asymptotic categories such as Θ(n 2) are sets, we usually use "=" instead of "∈" and write (for example) f(n) = Θ(n 2) to indicate that f is in this set (n)) Graph of Growth Functions UMBC CMSC 341 Asymptotic Analysis 28 logarithmic linear quadratic n-log-n cubic exponential Orde... | {
"domain": "tavocrealestate.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9845754452025767,
"lm_q1q2_score": 0.8388118148409776,
"lm_q2_score": 0.8519528076067262,
"openwebmath_perplexity": 713.1614358094596,
"openwebmath_score": 0.5939570665359497,
"t... |
Determine $A^T$ and $B^T$
$A^T = \begin{bmatrix} -1 & 1 \\ 0 & 2 \\ 1 & 0 \end{bmatrix}$ , $B^T = \begin{bmatrix} -1 & 1 & 2 \end{bmatrix}$
Calculate $B^T A^T$
$B^T A^T = \begin{bmatrix} -1 & 1 & 2 \end{bmatrix} \begin{bmatrix} -1 & 1 \\ 0 & 2 \\ 1 & 0 \end{bmatrix} = \begin{bmatrix} 3 & 1 \end{bmatrix}$
Hence $(AB)^T ... | {
"domain": "analyzemath.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9950177292353747,
"lm_q1q2_score": 0.8064408878532229,
"lm_q2_score": 0.8104789132480439,
"openwebmath_perplexity": 328.00342680087823,
"openwebmath_score": 0.7763438820838928,
"tags... |
python, algorithm, python-3.x, pathfinding
if __name__ == "__main__":
GRAPH = Graph(build_graph())
FROM = 0
TO = 100
NUMBER_STEPS = GRAPH.dijkstra_path(FROM, TO)
if not NUMBER_STEPS == -1:
print(f"Can complete game in a minimum of {NUMBER_STEPS} rolls")
else:
print("Error. Make ... | {
"domain": "codereview.stackexchange",
"id": 34873,
"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, algorithm, python-3.x, pathfinding",
"url": null
} |
Take $$T$$ to be predicate logic with equality. Any sentence that is true in every model of $$T$$ is provable (by Gödel's completeness theorem), so $$T$$ is semantically complete. Now take $$\phi$$ to be $$\forall x\cdot \forall y\cdot x = y$$. Neither $$\phi$$ nor $$\lnot\phi$$ can be provable, because $$\phi$$ is tru... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9706877726405082,
"lm_q1q2_score": 0.8362846003809323,
"lm_q2_score": 0.8615382040983515,
"openwebmath_perplexity": 251.32879039945368,
"openwebmath_score": 0.7703820466995239,
"ta... |
k is 0 based. Pascal’s triangle is a triangular array of the binomial coefficients. You signed in with another tab or window. Bonus points for using O (k) space. Kth Row Of Pascal's Triangle . Click here to start solving coding interview questions. In this post, I have presented 2 different source codes in C program fo... | {
"domain": "onepany.com",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9805806546550656,
"lm_q1q2_score": 0.8016977216331255,
"lm_q2_score": 0.8175744828610095,
"openwebmath_perplexity": 737.2924914774785,
"openwebmath_score": 0.6564574837684631,
"tags"... |
inorganic-chemistry, thermodynamics, salt, lattices
Above: $ \ce{K2O}$ structure, below: $ \ce{Cs2O}$ structure. Oxides are red, potassiums are blue and caesiums are magenta.
Thus, the reason why heavier alkali metals tend to form superoxides is because the stoichiometry of the compound and ionic radius of the anion a... | {
"domain": "chemistry.stackexchange",
"id": 15658,
"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": "inorganic-chemistry, thermodynamics, salt, lattices",
"url": null
} |
haskell
calculateWinner :: Game -> IO Game
calculateWinner game =
putStrLn str >> return newGame
where
newGame = endGame game
(white, black) = List.partition (== White) $ filter (/= Hole) $ Map.elems $ cells $ board newGame
(numOfWhite, numOfBlack) = (length white, length black)
winner = if numOfWh... | {
"domain": "codereview.stackexchange",
"id": 1463,
"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": "haskell",
"url": null
} |
quantum-field-theory, heisenberg-uncertainty-principle
$$ \langle \int f(x) \phi(x) \int f(y)\phi(y)\rangle = \int f(x)f(y) G(x-y) d^dx d^dy $$
This is completely finite, since the G(x-y) singularity is always softer than the volume. So free fields always produce well defined after smearing by test functions.
This was... | {
"domain": "physics.stackexchange",
"id": 4140,
"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, heisenberg-uncertainty-principle",
"url": null
} |
Yes, you need to prove that $\alpha_1+\alpha_2 = \alpha_2 + \alpha_1$. Yes, commutativity of multiplication involves $\alpha_1\alpha_2$ and $\alpha_2\alpha_1$; you are supposed to disprove commutativity of multiplication, so give examples of $\alpha_1$ and $\alpha_2$ so that $\alpha_1\alpha_2 \neq \alpha_2\alpha_1$.
As... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9643214470715363,
"lm_q1q2_score": 0.8097734767946769,
"lm_q2_score": 0.8397339696776499,
"openwebmath_perplexity": 307.3627439596286,
"openwebmath_score": 0.836991012096405,
"... |
quantum-mechanics, hilbert-space, observables
Title: Can particles be in positional eigenstate in reality? Do i understand quantum right in the following description? what we observed as particle is just the phenomenon they have some kind of quality corresponding to the macroscopic stones in experiments like photoelec... | {
"domain": "physics.stackexchange",
"id": 41583,
"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, hilbert-space, observables",
"url": null
} |
c#, design-patterns, entity-framework
Title: LINQ to SQL code - in models project or in db project I currently have two projects. One called Models, a second called TaskEntityModels, a model first Entity Framework 6 project.
Here is an example of a class in my models project:
public class ImportRequest
{
private ... | {
"domain": "codereview.stackexchange",
"id": 18562,
"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#, design-patterns, entity-framework",
"url": null
} |
After enumerating the rationals inside $[0, 1]$, we define $… ### Generating natural-looking digits with neural networks PtEn< change language In this post I will show you how I got a neural network to write digits that look like they've been handwritten. In fact, the digits you can see in the first image of this post ... | {
"domain": "blogspot.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9759464478051828,
"lm_q1q2_score": 0.8195353750223804,
"lm_q2_score": 0.8397339596505965,
"openwebmath_perplexity": 373.55725698360465,
"openwebmath_score": 0.7081393003463745,
"tags": ... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.