text stringlengths 49 10.4k | source dict |
|---|---|
the light but not on the intensity. For more such videos please go to http://vidhyasangam.com/Videos.html Height, mass and gravitational strength. This question is off-topic. The kinetic energy is then 1 2 m i v i 2, and summation gives the total kinetic energy of the body: E kin = 1 2 m 1 v 1 2 + 1 2 m 1 v 2 2 + ⋯ = 1... | {
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"id": null,
"lm_label": "1. Yes\n2. Yes",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9304582516374121,
"lm_q1q2_score": 0.8546075189048913,
"lm_q2_score": 0.9184802406781396,
"openwebmath_perplexity": 508.16888157696775,
"openwebmath_score": 0.43632879853248596,
"tags": ... |
c#, beginner, http, network-file-transfer, reddit
Title: Download pictures from Reddit using System;
using System.Linq;
using RedditSharp;
using System.Net;
using RedditSharp.Things;
namespace reSharp
{
class Program
{
public static void Main()
{
string sub = "/r/";
str... | {
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"openwebmath_score": null,
"tags": "c#, beginner, http, network-file-transfer, reddit",
"url": null
} |
ros, gazebo, moveit, gripper, manipulation
Title: A manipulator with gripper for simulation
I am experimenting with high level manipulation tasks and wish to see the results in simulation. I would like to use Moveit for motion planning and observe the simulated results in Gazebo.
I need some suggestions on manipulato... | {
"domain": "robotics.stackexchange",
"id": 27146,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "ros, gazebo, moveit, gripper, manipulation",
"url": null
} |
algorithms, correctness-proof, searching
If $x$ is in the matrix, then it is in the submatrix whose top right corner is $e$.
The invariant clearly holds in the beginning, since $e$ is the top right corner of the original matrix.
If $e > x$ then all elements below $e$ are also larger than $x$, and so $x$ cannot be con... | {
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"openwebmath_score": null,
"tags": "algorithms, correctness-proof, searching",
"url": null
} |
supernova
Title: What does the word "shock cooling" mean in supernova physics? I cannot understand the meaning of "shock cooling" which occurred in supernova.
And I saw the sentence like "Early photometry and spectroscopy reveal evidence of shock cooling of an extended helium-rich envelope". Could you explain the mec... | {
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"id": 3236,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "supernova",
"url": null
} |
quantum-mechanics, waves, faster-than-light, textbook-erratum
Title: How matter waves travel faster than light? I read this in my physics textbook. It says that matter waves travel faster than light. Why is it so?
Also are matter waves G-Waves?
I read this thing in my physics textbook.They said matter waves travel fa... | {
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"tags": "quantum-mechanics, waves, faster-than-light, textbook-erratum",
"url": null
} |
discrete-signals, digital-communications, pll
Title: Software PLL tracking of carrier frequency in bandlimited transmission My understanding is that a PLL(either in hardware or software) can recover the carrier frequency(or be used to correct the frequency offset) of a system. My question is how does this work when th... | {
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"tags": "discrete-signals, digital-communications, pll",
"url": null
} |
c, mathematics
Function: This code ought to be packaged into a function, not just in main(). I propose char *add(const char *a, const char *b).
Bug: You assume that a and b are the same length. If that turns out not to be the case, then you'll either ignore the most significant digits of a (wrong answer) or access t... | {
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"tags": "c, mathematics",
"url": null
} |
frequency-response
$$\tilde{\tau}(\omega)=\tau_B(\omega)-\tau_A(\omega)\tag{5}$$
where $\tau_A(\omega)$ and $\tau_B(\omega)$ are the group delays of $A(e^{j\omega})$ and $B(e^{j\omega})$, respectively.
We have
$$\phi_B(\omega)=-\arctan\left(\frac{\sin(\omega)}{\cos(\omega)-|\alpha|}\right)\tag{6}$$
and
$$\phi_A(\omega... | {
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"openwebmath_score": null,
"tags": "frequency-response",
"url": null
} |
javascript, jquery, beginner
if (navigator.userAgent.indexOf('Safari') != -1 && navigator.userAgent.indexOf('Chrome') == -1) {
//
// Setting scrollTop() on Safari:
// $(document).scrollTop(scrollAmount) works only when expanding
// $("body").scrollTo... | {
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"id": 9043,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "javascript, jquery, beginner",
"url": null
} |
optics, electromagnetic-radiation, photons
Title: A naive experiment with light Here is a thought experiment.
Start with a low-frequency maser, say a frequency of 1 hertz.
Put a circular fan in the way of the maser, with blades that cover half the area they rotate through. Run it fast enough that the maser is blocked ... | {
"domain": "physics.stackexchange",
"id": 49340,
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"tags": "optics, electromagnetic-radiation, photons",
"url": null
} |
acoustics
Title: How can sound be used to calculate the RPM of a yarn bubble formed by rotating or spinning yarn at high speed? I need to know how to use sound to find the rpm of a "yarn bubble." A yarn bubble is formed as yarn is twisted together at high speeds. The yarn is then "heat set" and made into carpet. A ... | {
"domain": "physics.stackexchange",
"id": 33798,
"lm_label": null,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "acoustics",
"url": null
} |
lstm, rnn, pytorch, bias, weight-initialization
Title: pytorchs LSTMs use of 'bias' and 'weight' strings Hi I am new to RNN and have come across this the following implementation of Pytorchs LSTM, but I cant understand how (or why) the 'bias' and 'weight' strings work in the 'def init_weights'.
class LSTM_LM(nn.Module... | {
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"tags": "lstm, rnn, pytorch, bias, weight-initialization",
"url": null
} |
php, security, authentication
I can't tell if you're using the return of inputData(), if you're not they shouldn't be there.
Overall, good improvement. You should take your time building these things, I saw a lot of repetition and unnecessary lines of code. The less lines of code you have, the easy the whole thing wi... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "php, security, authentication",
"url": null
} |
experimental-physics
Title: Does glue move? Today I accidentally put glue in a plastic tube. After a few minutes it started moving/expanding our of the tube. Why did this happen? Is it to do with the chemical makeup of the glue or something else? Glue is a polymer which hardens when water molecules are washed off or e... | {
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"id": 53148,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "experimental-physics",
"url": null
} |
energy, electric-circuits, charge, capacitance
Title: Energy of capacitors in Series and Parallel I'm just confused in general about what happens with charge, voltage, etc in parallel and series circuits with capacitors.
Anyways, I'm trying to find the total energy stored in $2$ equivalent capacitors in series vs in p... | {
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"tags": "energy, electric-circuits, charge, capacitance",
"url": null
} |
quantum-mechanics, wavefunction, hilbert-space, hamiltonian, ground-state
Even if you know all the eigenstates, it's still not enough information to reconstruct the Hamiltonian, because they do not allow you to distinguish between, say, $\hat H$ and $\hat{H}{}^2$. On the other hand, if you know all the eigenstates and... | {
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"tags": "quantum-mechanics, wavefunction, hilbert-space, hamiltonian, ground-state",
"url... |
ros, multiplemachines
Title: how to run ROS across multiple machines with different networks?
Hi, all,
Would I know how to run ROS across multiple machines with different networks? I failed to ping them like this:
PING 192.168.1.103 (192.168.1.103) 56(84) bytes of data.
From 10.217.252.54 icmp_seq=1 Time to live exce... | {
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"openwebmath_score": null,
"tags": "ros, multiplemachines",
"url": null
} |
# Evaluating $\sum_{k=0}^\infty \left(\frac{1}{5k+1} - \frac{1}{5k+2} - \frac{1}{5k+3} + \frac{1}{5k+4} \right)$
I saw this problem somewhere recently and I was having some difficulty getting started on it.
The problem is twofold. The first is to evaluate:
$$\sum_{k=0}^\infty \left(\frac{1}{5k+1} - \frac{1}{5k+2} - ... | {
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"lm_q1_score": 0.975946442208311,
"lm_q1q2_score": 0.8001719863226194,
"lm_q2_score": 0.8198933381139645,
"openwebmath_perplexity": 464.6764919263797,
"openwebmath_score": 0.9567651748657227,
"tags... |
nuclear-physics, astrophysics, fusion, elements
In neutron star mergers, the sources of free neutrons is rather obvious, but the seed nuclei are also present in abundance in the neutron star crust and in fact the release of this material into a low-density environment means that much of this neutron-rich material will... | {
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"tags": "nuclear-physics, astrophysics, fusion, elements",
"url": null
} |
quantum-mechanics, wavefunction, measurement-problem, hilbert-space, observables
In the case of considering the a state be projected onto some basis, we can write this mathematically as: $$|\psi\rangle = \sum_i |i\rangle\langle i|\psi\rangle$$ In this representation the $\langle i|\psi\rangle$ takes on the role of a... | {
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"tags": "quantum-mechanics, wavefunction, measurement-problem, hilbert-space, observables",... |
c++, array, vectors
In this case it makes no difference. BUT it can so it is a good habit to get into. Prefer to use initializer lists to prevent objects being initialized twice during construction.
template <typename T>
ArrayList<T>::ArrayList(int size = 100)
: ar(allocMemory(size))
, actualSize(0)
, allo... | {
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"tags": "c++, array, vectors",
"url": null
} |
c, c89, postscript
void clear_page(Tape *pages[4])
{
int i,j;
Strlist *s, *t;
Tape *tp;
for (i=0; i<4; i++) {
tp=pages[i];
for (j=0; j<2; j++) {
free(tp->artist[j]);
free(tp->title[j]);
for (s=t=tp->songs[j]; s; t=s) {
s=s->next;
free(t->str);
free(t);
}... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c, c89, postscript",
"url": null
} |
c++, c++14
for (const auto& availableType : availableTypes) {
auto it = requiredTypeCount.find(availableType);
if (it != requiredTypeCount.end()) {
requiredTypeCount[availableType]++;
if (availableType == DerivedA::getType()) {
dstVector.emplace_back(std::make_un... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c++, c++14",
"url": null
} |
c++, parsing, http, pointers
Title: Parsing HTTP Headers in C++ I am building a web server from scratch and trying to make certain tasks faster by embedding C code into the mix for performance. Specifically I'm worried about how the std::string class with the .find() and other functions compare to straight pointer ari... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c++, parsing, http, pointers",
"url": null
} |
rna-seq, nextflow, errors
Title: Nextflow Pipeline: Unexpected Input "{" I'm attempting to run a nextflow pipeline and have begun getting unexpected output for a few of the processes in my pipeline. I believe this to be a syntax error, but I am not sure where to correct it. Any help is finding where my error is locate... | {
"domain": "bioinformatics.stackexchange",
"id": 2441,
"lm_label": null,
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"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "rna-seq, nextflow, errors",
"url": null
} |
equilibrium, entropy, free-energy, mixtures
Title: Is the entropy change positive or negative in this reaction? Suppose I have a reversible reaction
\begin{align}
\ce{A(g) + B(g) <=> C(g)}\\
\end{align}
with equilibrium constant K.
Its ΔΗ is positive throughout.
Now, suppose I start with 1 mole each of gases A... | {
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"tags": "equilibrium, entropy, free-energy, mixtures",
"url": null
} |
slam, navigation, odometry, stereo-camera, rtabmap
Original comments
Comment by gvdhoorn on 2017-10-01:\
<node .. type="static_transform_publisher" .. args=".. /base_link /camera_link 100" />
I don't know if it's the cause, but the last arg there is the period, not the rate. So static_transform_publisher (STP) is pu... | {
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"tags": "slam, navigation, odometry, stereo-camera, rtabmap",
"url": null
} |
graphs, np
Title: Is finding arbitrary-but-fixed length cycles in a graph NP-Hard? My intuition says yes. I think so because if we could find arbitrary length cycles, couldn't we just look for an n length cycle and then solve HAM-CYCLE? But I saw a post that seems to suggest a polynomial time method for finding cycles... | {
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"lm_q1q2_score": null,
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"tags": "graphs, np",
"url": null
} |
You succeed education level the two vertices is usually not regarded as 2-connected the on... Between every pair of vertices for this regardless of the given function by determining the appropriate and!, G = ( v, E ) and v in v ( ). The same as the definition of a connected graph G will make disconnected. Is visited du... | {
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"id": null,
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"lm_q1_score": 0.9702399043329856,
"lm_q1q2_score": 0.8187806997603904,
"lm_q2_score": 0.8438950986284991,
"openwebmath_perplexity": 709.2964371132405,
"openwebmath_score": 0.4230887293815613,
"t... |
We can define the distance function in C++ like so:
template<typename F>
requires(Transformation(F))
DistanceType(F) distance(Domain(F) x, Domain(F) y, F f)
{
// Precondition: y is reachable from x under f
typedef DistanceType(F) N;
N n(0);
while(x != y) {
x = f(x);
n = n + N(1);
}
return n;
}
The DistanceType(F) ty... | {
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"lm_q1_score": 0.9805806512500486,
"lm_q1q2_score": 0.8254779394753002,
"lm_q2_score": 0.8418256452674008,
"openwebmath_perplexity": 7426.21936086845,
"openwebmath_score": 0.45936593413352966,
"tags":... |
c++, beginner, tic-tac-toe
int main() {
srand(time(0));
reset_board();
while (true) {
print_board();
std::cout << "Enter the position: ";
number_pick();
if (check_if_won('X') || check_tie()) break;
while (!make_move('O', board[rand() % 3][rand() % 3]));
... | {
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"openwebmath_score": null,
"tags": "c++, beginner, tic-tac-toe",
"url": null
} |
javascript, memory-management, json, event-handling, jquery-ui
Your arr is global. You should probably place this somewhere only the widget knows about.
You're clearning the array... by creating another array. You're spawning more objects (in this case, an array) instead of cleaning up. The proper way to clear an arra... | {
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"tags": "javascript, memory-management, json, event-handling, jquery-ui",
"url": null
... |
bacteriology, flow-cytometry
Title: Flow cytometry issues I'm having problems with data analysis here.
I have flow cytometry data being collected on a Fortessa, and when I import them into FlowJo 8.7, all of my fluorescence values are systematically 10X lower than they are on the cytometer. No idea what's going on her... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "bacteriology, flow-cytometry",
"url": null
} |
We can get an implicit curve for our range $$\sqrt x + \sqrt y = 3$$
• It's a quadratic Bezier segment, with control points (0, 9), (0, 0), and (9, 0), I believe. That means that you can write it as $t^2 (9, 0) + 2t*(t-1) * (0, 0) + (1-t)^2 *(0, 9)$, which simplifies to $(9 t^2, 9(1-t)^2)$. Just in case you have acces... | {
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"lm_q1q2_score": 0.8623046128027023,
"lm_q2_score": 0.8918110540642805,
"openwebmath_perplexity": 564.5085636115648,
"openwebmath_score": 0.9045641422271729,
"tag... |
c#, logging
It seems that there are similarity inside the code, so I refactored it:
public void AddNLogConfigurationTypeTagret()
{
var filePath = _loggerModel.file_path_pattern.Replace("\\YYYY\\MM\\DD", "");
var dateTime = DateTime.Now;
filePath += "\\" + dateTime.Year + "\\" + dateTime.Month.ToString() + ... | {
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"tags": "c#, logging",
"url": null
} |
c#, error-handling, exception
// Accessor & modifier
public string SAlphaCharacters
{
get
{
return sAlphaCharacters;
}
set
{
System.Text.RegularExpressions.Regex oRegex = new System.Text.RegularExpressions.Rege... | {
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"tags": "c#, error-handling, exception",
"url": null
} |
general-relativity, special-relativity, spacetime, topology
Yes, this is correct. As you said above a spacetime manifold is a set with some additional structure. The elements of the set are the events.
This is exactly analogous with a manifold in standard Riemannian geometry where the elements of the Reimannian manif... | {
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"tags": "general-relativity, special-relativity, spacetime, topology",
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The approximation coming from the normal approximation of the binomial distribution is $$k = \sqrt{-2n\ln(1-\epsilon)}.$$ To get more terms write $\Delta=-\ln(1-\epsilon)$, then by expanding $-\ln(1-i/n)$ as a Taylor series in $i$ and summing over $i=0\ldots k-1$, you get a series $$\Delta = 1/2\,{\frac {k\, ( k-1 ) }{... | {
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java, search
Title: Java Word Search Solver This is a challenge up on Programming Praxis, however there are no Java solutions, and there are few Java implementations elsewhere on the internet.
Most of these implementations simply search the grid for the words that the user is supposed to find. This program finds ALL ... | {
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\begin{aligned}\ln(3)&=\left(\frac{2}{3}+\frac{2^2}{2\cdot3^2}\right)+\left(\frac{2^3}{3\cdot3^3}+\frac{2^4}{4\cdot3^4}\right)+\ldots\\ &=\frac{2}{3}\left(\frac{5-1}{3(2-1)}\right)+\frac{2^3}{3^3}\left(\frac{5\cdot2-1}{3\cdot2(2\cdot2-1)}\right)+\frac{2^5}{3^5}\left(\frac{5\cdot3-1}{3\cdot3(2\cdot3-1)}\right)+\ldots\\ ... | {
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"openwebmath_score": 0.9875024557113647,
"tag... |
c++, design-patterns, c++11, template, template-meta-programming
Title: Plugin system for calling methods I have a small "plugin system" (I'm not sure this is the right name). It allow you to store objects (plugins), and then call some methods from each of them. With this approach we have absolutely no overhead on ite... | {
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"url": null... |
• How did you get the first statement? – Abcd Oct 15 '17 at 20:14
• To get the second formula is just algebra ... I then drew a triangular grid ($9$ points on each edge) and plotted the terms, I then started looking for exact squares that would contain the negative terms. – Donald Splutterwit Oct 15 '17 at 20:18
• I ca... | {
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"openwebmath_perplexity": 688.0949776946812,
"openwebmath_score": 0.6054059863090515,
"tag... |
newtonian-mechanics, forces, mass, acceleration
Title: Type of force of $m\vec{a}$ As there are types of forces such as Normal, Tensional, Gravitational, etc.
Suppose a block of mass $m$ kept on a table and a man is pushing it and a acceleration $\vec{a}$ is produced.
Is $m\vec{a}$ really a force? If yes, then please ... | {
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"tags": "newtonian-mechanics, forces, mass, acceleration",
"url": null
} |
# What does it mean to multiply by x / x?
1. Sep 29, 2015
### Mr Davis 97
This is a simple question. I know that for any number or expression we can multiply it by 1 and maintain the same expression. However, x / x also equals 1. But if we multiply it by another expression, the expression changes such that we can no... | {
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"ta... |
ros, urdf, moveit, moveit-setup-assistant
Originally posted by Speedracer1702 on ROS Answers with karma: 53 on 2021-06-07
Post score: 2
Original comments
Comment by Ranjit Kathiriya on 2021-06-08:
Hello @Speedracer1702,
I have given you enough karma, now you can post images. Can you please! reupload images by pressin... | {
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... and the second step is to apply the (5.32) of...
http://mathhelpboards.com/discrete-...ation-tutorial-draft-part-i-426.html#post2494
$\displaystyle \sum_{r=1}^{\infty} \frac{1}{(r + a)\ (r + b)} = \frac{\phi(b) - \phi(a)}{b - a}\ (2)$
... where...
$\displaystyle \phi (x) = \frac{d}{dx} \ln x!\ (3)$
... so that... | {
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"openwebmath_score": 0.7397052049636841,
"ta... |
Some sources make no difference between $\subset$ and $\subseteq$.
However, in other sources, $A\subseteq B$ allows the possibility that $A=B$, while $A\subset B$ specifically excludes that possibility.
It depends on your convention. Some use $\subset$ for strict inclusion, some do not. It depends on the author. I'd pr... | {
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"lm_q2_score": 0.8519528038477825,
"openwebmath_perplexity": 461.3283925271788,
"openwebmath_score": 0.7925161123275757,
"tag... |
rviz
Title: Get main RenderPanel from Display
Hey,
I need to grab a pointer to rviz main RenderPanel - the one that renders the scene - from a Display plugin.
I've managed to grab a RenderPanel but in some cases there are more than one and I haven't found a way to identify them yet.
Originally posted by StefanFabian... | {
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"tags": "rviz",
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} |
special-relativity, vectors
Our first boost is the ray $\vec{OA}$, and the addition triangle is the hyperbolic triangle $\triangle OAB$. The second boost bears the composite along the circular arc $AB$, where the blue tangent to the arc at the point $A$ is in the direction of the second boost. The arc is uniquely defi... | {
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"tags": "special-relativity, vectors",
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} |
array, vba, excel
Dim sourceHeaderRow As Variant
sourceHeaderRow = RowFrom2dArray(sourceArray, sourceLB1)
'/ Output Array
Dim outputArray As Variant
outputArray = InitialiseUninvestedCashArray
Dim outputLB1 As Long, outputUB1 As Long
Dim outputLB2 As Long, outputUB2 As Long
AssignArrayBou... | {
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• See oeis.org/A082985. Dec 21, 2021 at 23:18
• Ahh! It is excellent. I already found out the f(f(x)) one. But you found lots. I really appreciate your help
– MAS
Dec 22, 2021 at 0:32
• These are Čebyšev polynomials of some sort. It’s Ritt’s Theorem, referenced by @achillehui. Dec 22, 2021 at 4:30
• @mirace173, just on... | {
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"openwebmath_score": 0.9683758020401001,
"ta... |
python, python-3.x, playing-cards
def shuffle(cards):
"""Return a shuffled list that interleaves the two halves of cards.
>>> suits = ['♡', '♢', '♤', '♧']
>>> cards = [card(n) + suit for n in range(1,14) for suit in suits]
>>> cards[:12]
['A♡', 'A♢', 'A♤', 'A♧', '2♡', '2♢', '2♤', '2♧', '3♡', '3♢',... | {
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"tags": "python, python-3.x, playing-cards",
"url": null
} |
ros, ros-kinetic
"cv::VideoCapture::read(cv::_OutputArray const&)", referenced from:
image_publisher::ImagePublisherNodelet::onInit() in image_publisher_nodelet.cpp.o
image_publisher::ImagePublisherNodelet::do_work(ros::TimerEvent const&) in image_publisher_nodelet.cpp.o
"cv::VideoCapture::VideoCapture()... | {
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"tags": "ros, ros-kinetic",
"url": null
} |
homework-and-exercises, newtonian-mechanics, work
Title: Shouldn’t the work done be zero in this case? In an online test the following question was asked:
The motion of a mass is described by $s=2t$ where $s$ is displacement and the force on it by $F=e^t$. What is the work done by it? Their answer was the usual integ... | {
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"tags": "homework-and-exercises, newtonian-mechanics, work",
"url": null
} |
c++, reinventing-the-wheel, c++17, stl
// no braced init
template <class U>
Direct_init(std::initializer_list<U>) = delete;
};
int main()
{
// ill formed instantiation
{
// optional<int&> a;
// optional<const in_place_t> b;
// optional<volatile nullopt_t> c;
}
// value_... | {
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"tags": "c++, reinventing-the-wheel, c++17, stl",
"url": null
} |
particle-physics, wavefunction
Now it seems your Ms and Ma are actually labelled by the symmetries under permutation of the first two particles, i.e. by representations of the $S_2$ subgroup containing $\{\hat 1,P_{12}\}$, so this will affect the ordering of the projection operators.
Start with the first Young diagram... | {
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} |
homework-and-exercises, electromagnetism, superconductivity, differentiation, functional-derivatives
Two small modifications
Hopefully the derivation above wasn't new to you. But already it is essentially all you need for your problem. There are just two small modifications.
The first modification is if $q$ were a vec... | {
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optics, visible-light
Title: Any scientific basis behind Thoreau's Stacked Shadows? In Walden Henry David Thoreau states,
Sometimes, when the ice was covered with shallow puddles, I saw a double shadow of myself, one standing on the head of the other, one on the ice, the other on the trees or hillside.
This was in a... | {
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"tags": "optics, visible-light",
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} |
This yields the recurrence relation
$$p_{k-1}=-kp_k$$ with
$$p_n=1.$$
The solution is
$$p_k=(-1)^{n-k}\frac{n!}{k!}.$$
Using General Leibniz Rule for the $n$'th derivative of a product, we have
\begin{align} \int x^ne^x\,dx&=\left.\left(\frac{d^n}{db^n}\int e^{bx}\,dx\right)\right|_{b=1}\\\\ &=\left. \frac{d^n}{d... | {
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"openwebmath_score": 0.9340680241584778,
"tags... |
c#, xaml, uwp, checkers-draughts
SetPosition(e.GetCurrentPoint(Canvas).Position);
}
ViewModel
AddPiece and RemovePiece
Both of these methods copy the original board, make the change, and then paste the new board over the original one.
This is pretty bad for both memory reasons (creating new objects each move that nee... | {
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"tags": "c#, xaml, uwp, checkers-draughts",
"url": null
} |
matlab, convolution
Title: convolution and frequncy response I have a sinusiodal signal x in time domain.I have done the convlotion as followings using matlab:
y=conv(x,x) and y=conv(x,fliplr(x)).
Observing the result by Matlab, both of the above signal giving the same result in frequency domain. Why do you think is ... | {
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"openwebmath_score": null,
"tags": "matlab, convolution",
"url": null
} |
beginner, vhdl
Being a beginner in VHDL, I am struggling to see how exactly I can further improve this code.
Can you suggest any improvements for the VHDL program I have posted here? Well, this is quite decent VHDL for a beginner compared to much of the code I see at StackOverflow. But:
your code's not commented
you... | {
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quantum-mechanics, wavefunction, hilbert-space, notation
Any explanation or reference to similar kind of questions would be helpful. If you think of kets $\vert\psi\rangle$ as vectors, i.e. elements of a vector space in the sense that you can take linear combination of them, and you think of these vector as column vec... | {
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optics, double-slit-experiment, polarization, interferometry
The sinusoidal term indicates fringing. Note that the basis components of $\vec E_0$ are unimportant, so any input polarization gives fringes and the whole “ordinary double-slit” first column of Table 0 is proven.
Now, for polarized slits,
$$
\Psi_3 \propto... | {
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"tags": "optics, double-slit-experiment, polarization, interferometry",
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} |
newtonian-mechanics, forces, power
Title: Can I convert Power to Force? I just realized that I have some issues with physics: I cannot just convert Power to Force (different units), $P = F * v$.
But am I not able to calculate the force on a car that accelerates with a 100 kiloWatt engine without knowing any other para... | {
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"tags": "newtonian-mechanics, forces, power",
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code
share
7.2 One-versus-All multi-class classification
In practice many classification problems have more than two classes we wish to distinguish, e.g., face recognition, hand gesture recognition, general object detection, speech recognition, and more. However because it has only two sides, a single linear separato... | {
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"lm_q1_score": 0.9814534398277177,
"lm_q1q2_score": 0.8113791319416667,
"lm_q2_score": 0.8267117919359419,
"openwebmath_perplexity": 422.61698127164203,
"openwebmath_score": 0.5828137397766113,
"tags": nul... |
image-processing, filters, derivative
Title: Why taking derivative amplifies noise In image processing we may use derivatives to help us detect the edges. While at mean time, this operation would also make the data noisier. But why do we have this effect?
My intuition is that if we denote the image data as
$I_{actual}... | {
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# Loss function to maximize sum of targets
I have a dataset {$X_i$, $Y_i$}. $Y_i$ - real value targets, they can be negative. The task is to teach classifier $f: X_i \rightarrow \{0, 1\}$ to maximize the sum below $$L(f) = \sum_i f(X_i) * Y_i$$ So $f(X_i) = I[Y_i > 0]$ would be the ideal classifier. I'm looking for ap... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9693242000616579,
"lm_q1q2_score": 0.8139744525907092,
"lm_q2_score": 0.839733963661418,
"openwebmath_perplexity": 373.9194058824971,
"openwebmath_score": 0.8732443451881409,
"tags... |
thermodynamics
Put a final way, if I think about the room and ice temperature in
Kelvin, then it would seem that adding ice is, in fact, adding energy
to the system. But that doesn't seem correct; I am just confusing
myself more.
You're overthinking, I think. Lets just look at what $(1)$ turns out to be, shal... | {
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electric-circuits, charge, capacitance
According to me the charges on second at steady must be zero else there would be some current in the resistance in it's parallel(which can't be true because then $C$ too will have current in it and it will not be steady state) . Is this argument correct or there would be somethin... | {
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"id": 7481,
"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": "electric-circuits, charge, capacitance",
"url": null
} |
complexity-theory
Title: Job Scheduling decision problem I would like to know how to prove that the Job Scheduling decision problem is strongly NP-complete using 3-partition.
Input: A set of $n$ tasks of length $t_1, t_2, \ldots t_n \in \mathbb N$ and $k$ processors.
A feasible solution is a function $\alpha: \{1, \ld... | {
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"tags": "complexity-theory",
"url": null
} |
group-theory, representation-theory, unitarity
Repka, J. and de Guise, H., 1999. Some finite dimensional indecomposable representations of E (2). Journal of Mathematical Physics, 40(11), pp.6087-6109
(available here) and follow up papers mostly by A. Douglas.
Recall that (roughly speaking) fully reducible representat... | {
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"openwebmath_score": null,
"tags": "group-theory, representation-theory, unitarity",
"url": null
} |
ros, 2d-image, ros-kinetic, pointcloud
Title: finding the highest match between two images and/or point clouds
hi
which kind of methods are used for finding the highest match between two images and/or point clouds?
I would be grateful if anybody can support.
ros, kinetic 16.04
Originally posted by Delbina on ROS Ans... | {
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"tags": "ros, 2d-image, ros-kinetic, pointcloud",
"url": null
} |
$$m>0$$
This is equivalent to the condition that the derivative of the cubic polynomial must have two roots.Next if there were two repeated roots then the slope of the line and tangent are equal. Equating both we get
$${ t }_{ 0 }=\pm \sqrt { \frac { m }{ 3 } }$$ .
Substituting t0 back into the straight line equatio... | {
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"openwebmath_score": 0.9744016528129578,
"tags": n... |
Edit. You do not need to use Franchetta's conjecture. If every correspondence on $C$ has valence, then you can use $d=2$ to prove that $u_2^*\mathcal{L}_2$ is algebraically equivalent to zero. By the theorem of the cube, already $u_2^*$ is injective on Picard groups. So it suffices to prove that there exists a curve $C... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9802808707404786,
"lm_q1q2_score": 0.8272542240214799,
"lm_q2_score": 0.8438951005915208,
"openwebmath_perplexity": 122.896794638112,
"openwebmath_score": 0.9687852263450623,
"tags"... |
4. (ODD)(ODD) = ODD
5. (ODD)(EVEN) = EVEN
6. (EVEN)(EVEN) = EVEN
Target question: Is integer n EVEN?
Statement 1: n² - 1 is an odd integer
n² - 1 = (n + 1)(n - 1)
So, statement 1 is telling us that (n + 1)(n - 1) = ODD
From rule #4 (above), we can conclude that BOTH (n + 1) and (n - 1) are ODD
If (n + 1) is ODD, then... | {
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"id": null,
"lm_label": "1. Yes\n2. Yes",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9161096227509861,
"lm_q1q2_score": 0.80386493168803,
"lm_q2_score": 0.8774767906859264,
"openwebmath_perplexity": 1446.5807813837966,
"openwebmath_score": 0.8137699961662292,
"tags": nu... |
cc.complexity-theory, reference-request, np-hardness
Title: open problems on $NP$-complete? How can we find the list of open problems on $NP$-comlpete? you can also find some other problems in http://garden.irmacs.sfu.ca/?q=category/theoretical_computer_science | {
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"tags": "cc.complexity-theory, reference-request, np-hardness",
"url": null
} |
rotational-dynamics, reference-frames, torque
= {\bf T} - \dot {\bf R}\times M{\bf V}
$$
where ${\bf T}$ is total torque about ${\bf R}$, $M=\sum m_i$ and ${\bf V}$ is the velocity of the center of mass. We see that if we want the torque about ${\bf R}$ to equal the rate of change of angular momentum about ${\bf R}... | {
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"tags": "rotational-dynamics, reference-frames, torque",
"url": null
} |
Well, one way to think about it:
As $\lim \frac{\sum a_i}n \to 0$ and $\lim \frac{\sum b_i}n \to 0$ then $\lim (\frac{\sum a_i}n + \frac{\sum b_i}n) \to 0+ 0 = 0$.
And $(\frac{\sum a_i}n + (\frac{\sum a_i}n = \frac {\sum_{i=0}^n (a_i + b_i)}n$ so
$\lim_{n\to \infty}(\frac{\sum a_i}n) + \lim_{n\to \infty}(\frac{\sum ... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9852713839878681,
"lm_q1q2_score": 0.8210508814126248,
"lm_q2_score": 0.8333245994514082,
"openwebmath_perplexity": 114.32610560079955,
"openwebmath_score": 0.9819243550300598,
"ta... |
I found neither $E_1\subseteq E_2$ nor $E_2\subseteq E_1$. If $x\in E_1$, then $x$ belongs to some $A_n$ but none of $B_n$ or vice versa. If $x\in E_2$, then $x$ belongs to infinite many $A_n$ but at most finite many $B_n$ or vise versa.
Then $x\in E_1$ cannot imply $x\in E_2$ if $x$ only appears in finite many $A_n$ ... | {
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"id": null,
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"lm_q1_score": 0.9822877015558475,
"lm_q1q2_score": 0.8269149723534132,
"lm_q2_score": 0.8418256393148981,
"openwebmath_perplexity": 118.34789782942786,
"openwebmath_score": 0.9667127132415771,
"ta... |
x\equiv10\pmod{12}\tag{5} $$Extended Euclidean Algorithm If we don't notice a nice relationship as we did in (2), then we can resort to the Extended Euclidean Algorithm. First we solve$$ \begin{align} x/2&\equiv1\pmod2\\ x/2&\equiv0\pmod3 \end{align}\tag{6} $$and$$ \begin{align} x/2&\equiv0\pmod2\\ x/2&\equiv1\pmod3 \e... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9859363729567545,
"lm_q1q2_score": 0.8194541640755327,
"lm_q2_score": 0.8311430499496096,
"openwebmath_perplexity": 1000.3992228250462,
"openwebmath_score": 0.9370294809341431,
"ta... |
1 and 3 are true because of Chinese remainder theorem . I guess 2 is false (since |6n-9m| is either 3 or 0 ) but i'm not sure how to prove /disprove 2 and 4.
• For 4: 19 and yes you have the right idea for disproving 2. Sep 11 '18 at 17:10
• Any number which is $2$ more than a multiple of six will be $2$ more than a m... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9833429604789206,
"lm_q1q2_score": 0.8453443009783562,
"lm_q2_score": 0.8596637541053281,
"openwebmath_perplexity": 112.66759294232416,
"openwebmath_score": 0.854559600353241,
"tag... |
python, python-3.x, sorting, quick-sort
Title: Quick Sort implementation in python Implemented the quick sort algorithm in python, It was just for learning it, now I want to port it to C.
Thoughts on the quality of my python implementation?
from random import randint, shuffle
def swap(array, a, b):
array[a], arra... | {
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"tags": "python, python-3.x, sorting, quick-sort",
"url": null
} |
of pounds (lbs), kips (kilo-pounds; 1 kip = 1000 lbs), newtons (N), or kilo-newtons (KN; 1 KN = 1000 N)). Parallelogram Law of Vectors explained Let two vectors P and Q act simultaneously on a particle O at an angle. Processing • ) - - - - - - - - - - - -. 1 Direction Angles and Direction Cosines. Determine the magnitu... | {
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"lm_q1_score": 0.979667647844603,
"lm_q1q2_score": 0.8076986803761943,
"lm_q2_score": 0.8244619306896956,
"openwebmath_perplexity": 431.3631302469679,
"openwebmath_score": 0.642760157585144,
"tags":... |
c#, linq, rubberduck
Notice that // todo: refactor comment - it's been there for about as far as I can remember. And that horrible "one-liner" (for some values of "one-liner") return statement has only kept growing hair and tentacles since it was first written, and it seemed to me that extracting methods would make th... | {
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"tags": "c#, linq, rubberduck",
"url": null
} |
And for all $j\leq m-1$ we have $f(0,m-j)$ which is just 0. So we can ignore all $j$ except for those starting at $m$.
$$f(n,m)=\frac{1}{2^{n+m-1}}\sum_{j=m}^{n+m-1}\dbinom{n+m-1}{j}f(1+j-m,m-j)$$
However, it's clear that for all $j\geq m$ (what we are concerned with in the summation), we have $f(1+j-m,0)$ which is j... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9861513893774303,
"lm_q1q2_score": 0.8217842033872763,
"lm_q2_score": 0.8333245911726382,
"openwebmath_perplexity": 853.2710027862103,
"openwebmath_score": 0.8706369400024414,
"tag... |
ros, occupancy-grid
Originally posted by al-dev with karma: 883 on 2016-03-19
This answer was ACCEPTED on the original site
Post score: 3
Original comments
Comment by g-emad on 2016-03-20:
i did so, but the map_server halt at the waiting for the map state
Comment by al-dev on 2016-03-20:
Can you edit your post to add... | {
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"tags": "ros, occupancy-grid",
"url": null
} |
Hope that helps,
-
@MuffinMan: Regarding Patrick Da Silva's 2nd paragraph, to get a "right brain" explanation of what it means for a function to be injective (also called one-to-one), google the phrase "horizontal line test". Better yet, do an image search using both "horizontal line test" and "exponential" together. ... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9808759654852756,
"lm_q1q2_score": 0.8042136631424381,
"lm_q2_score": 0.8198933315126791,
"openwebmath_perplexity": 317.5311928046742,
"openwebmath_score": 0.8950808048248291,
"tag... |
c
// initial alloc size depends on eolend (but always +1 for nul-terminator)
char *buf = malloc( eolend ? _nchars+1+1 : _nchars+1 );
if ( !buf ) {
DBGMSG( "failed to alloc %d bytes\n", eolend ? _nchars+1+1 : _nchars+1 );
goto fail;
} | {
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"openwebmath_score": null,
"tags": "c",
"url": null
} |
Hint: $$n\log \bigg(\frac{n}{e}\bigg) + 1 \le \log n! \le (n + 1)\log \bigg(\frac{{n + 1}}{e}\bigg) + 1.$$ Taken from Wikipedia, see here.
EDIT: Actually it is stated in that link "Hence $\log n!$ is $\Theta (n\log n)$''. | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9808759590563021,
"lm_q1q2_score": 0.8216012928111982,
"lm_q2_score": 0.8376199714402812,
"openwebmath_perplexity": 514.2230652970298,
"openwebmath_score": 0.9879122972488403,
"tag... |
ros, navigation, move-base, carrot-planner, base-local-planner
Why is this happening?
Originally posted by babtu on ROS Answers with karma: 21 on 2013-09-19
Post score: 2
Original comments
Comment by David Lu on 2013-09-20:
Precisely what parameter did you change?
Comment by babtu on 2013-09-25:
I wanted to change g... | {
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"tags": "ros, navigation, move-base, carrot-planner, base-local-planner",
"url": null
} |
python, unit-testing, binary-search
@staticmethod
def find_left_le(a, x, lo=0, hi=None, key=None):
'''Finds the index of the leftmost (among duplicates) element that is less than or equal to X.
A[index] <= X
A[index] == a4
[
a1{<x}, a1{<x}, a2{... | {
"domain": "codereview.stackexchange",
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"tags": "python, unit-testing, binary-search",
"url": null
} |
help with this. A biconditional statement is often used in defining a notation or a mathematical concept. The biconditional uses a double arrow because it is really saying “p implies q” and also “q implies p”. Mathematics normally uses a two-valued logic: every statement is either true or false. 1. 2. The statement rs ... | {
"domain": "peoplesles.org",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9706877717925421,
"lm_q1q2_score": 0.8380836780698248,
"lm_q2_score": 0.8633916099737807,
"openwebmath_perplexity": 597.141939634177,
"openwebmath_score": 0.5190113186836243,
"tag... |
acoustics, material-science
Title: Sonic boom breaking glass It's a well known fact that a sonic boom from something such as concord can shatter glass. I'm interested to know why a human is seemingly fine in the presence of the shockwave and yet the glass is completely destroyed?
EDIT: Rephrased: Why is glass the only... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "acoustics, material-science",
"url": null
} |
javascript, angular.js, promise
Title: Angular Promise trying Wrapper Sometimes I need to repeat an execution of rejected promises several times, for example, to fetch some data over internet.
There is a wrapper, which accepts Promise and tryCount:
function tryPromise(f, tryCount) {
return f().then(null, function(v... | {
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"tags": "javascript, angular.js, promise",
"url": null
} |
c++, c++11, queue, classes
Queue(const Queue &rhs)
{
...
}
...
private:
T* data = nullptr; // or {} works as well
size_t len = 0;
size_t cap = 0;
size_t front = 0;
};
Use bitwise AND instead of modulo operations
Calculating the modulus of an integer is very slow compared to doing ... | {
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"tags": "c++, c++11, queue, classes",
"url": null
} |
and the median can convey the central tendency of a data set. A mean is basically the average of a set of two or more numbers. Standard deviation is one of the key fundamental risk measures that analytics, portfolio managers, wealth management, and financial planner used. The extreme outlier causes the standard deviati... | {
"domain": "bifi.es",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.95598134762883,
"lm_q1q2_score": 0.802770013899282,
"lm_q2_score": 0.8397339716830605,
"openwebmath_perplexity": 480.8660382443618,
"openwebmath_score": 0.7592572569847107,
"tags": null,
"... |
homework-and-exercises, thermodynamics, conductors, thermal-conductivity, heat-conduction
Title: Problem on thermal conductivity I'm an highschooler who's very intrested in physics. I've stumbled on a problem on my textbook ("Dalla mela di Newton al bosone di Higgs volume III", or translated "From Newton's apple to H... | {
"domain": "physics.stackexchange",
"id": 88587,
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"openwebmath_score": null,
"tags": "homework-and-exercises, thermodynamics, conductors, thermal-conductivity, heat-con... |
matlab, laplace-transform, terminology
Title: Confusion regarding Laplace transform calculation in MATLAB I am trying to learn about Laplace transform and especially about ROC and i found out on this weblink.
I have also attached a snapshot of this link and highlighted where it is being said that although the signals ... | {
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"id": 11211,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "matlab, laplace-transform, terminology",
"url": null
} |
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