text stringlengths 49 10.4k | source dict |
|---|---|
c, random, linux, kernel
is very inefficient. Consider the worst case: dstruct_size == max_range. The expected number of calls to get_random_int will be quadratic in max_range, and the overall running time of the method will be cubic.
A simple improvement which requires only dstruct_size calls to get_random_int and ov... | {
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beginner, c, interpreter, brainfuck
<<<<<[>[-]<->>>>>>>[-<<<<<<<+>[<->-<<<+>>>]<[->+<]>>>>>>>]<<<<<<[->>>>>>+<<<<<<]<+<<<<<<<<<]>>>>>>>-<<<<[-]+<<<]+>>>>>>>[-<<<<<<<->>>>>>>]+<<<<<<<[->>>>>>>->>[>>>>>[->>+<<]>>>>]<<<<<<<<<[>[-]<->>>>>>>[-<<<<<<<+>[<->-<<<+>>>]<[->+<]>>>>>>>]<<<<<<[->>>>>>+<<<<<<]<+<<<<<<<<<]>+++++[-[-... | {
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"tags": "beginner, c, interpreter, brainfuck",
"url": null
} |
c#, beginner, linked-list, unit-testing
Consider to implement this:
public bool Remove(T item)
{
// TODO: implement this
return <wasRemoved>;
}
You could try to implement the above and make a new post with an updated version with unit tests and we could then review that... :-)
Your use case should look as somethi... | {
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"tags": "c#, beginner, linked-list, unit-testing",
"url": null
} |
astronomy, solar-system, moon
Title: Why is a gibbous moon possible? This could be a silly question to ask, but I would like to know why is a gibbous moon shape possible.
From the few cases I've drawn here, I could not think of a configuration where the Earth's shadow can be cast on the Moon in a way that leads to a ... | {
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"tags": "astronomy, solar-system, moon",
"url": null
} |
majorana-fermions
I encounter this structure in my quantum Ising model research.
It would be helpful, if someone could show me similar problems as well.
If the problem is $H=\sum (B_{ij}c^\dagger_i c_j +h.c.)$, all the answer seems to be trivial. Let's start with your Hamiltonian $i\sum_{jk} A_{jk} a_j a_k$, where I... | {
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c++, algorithm, template, c++20
*******************
-0.864604 -9.64665e-15 6.4311e-16 7.07421e-15 0 -7.07421e-15 1.35053e-14 -3.85866e-15 -6.4311e-16 -2.41166e-15
-2.71392e-13 -8.18545e-15 -3.63798e-15 3.63798e-15 -8.18545e-15 -1.09139e-14 2.72848e-15 -3.63798e-15 -9.09495e-16 7.... | {
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"tags": "c++, algorithm, template, c++20",
"url": null
} |
heat, plastics
Title: Searching for a fireproof sponge? (I know this is a bit off topic, but I don't know where else to ask. If you know a better StackExchange site, please tell me)
I'm working on a project, and I want to basically create a "flaming sail". For this, I'm planning to drench a cloth in methanol and then ... | {
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black-holes, reference-frames, hawking-radiation, qft-in-curved-spacetime, unruh-effect
Once the observer is inertial again, yes. Their definition of particle now coincides again with the one they had at the beginning and they no longer see particles laying around. The radiation is only observed while the observer is ... | {
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we find for our cubic-root generating function
$x_{i+1}= x_i – \frac{x_i^3-2}{3x_i^2}$
Applying this to $$x_0 = 1.8$$, we arrive at $$x_1 = 1.405761316872$$ and a relative difference of $$0.219021490626$$. Repeating the procedure (for more details, see example 1 above), we get $$x_2 = 1.274527978340$$ with a relative... | {
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"lm_q2_score": 0.8128673133042217,
"openwebmath_perplexity": 544.3014051204011,
"openwebmath_score": 0.8252004384994507,
... |
multi-rotor
When the video transmitter is powered up, my control range drops from about 1.5km to under 50m. I'm surprised that the 910 MHz video channel affects my 2.4 GHz control channel this way.
Is this sort of interference expected? Is it because my transmitter is low quality? What changes are recommended — should... | {
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"tags": "multi-rotor",
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ros, arduino, bluetooth, rosserial-python
int main(int argc, char **argv)
{
ros::init (argc,argv,"imu_node");
ros::NodeHandle nh;
ros::Rate loop_rate(50); //Hz
std::string aux;
//Begin serial communication with Arduino
struct termios toptions;
int fd, n;
float roll, pitch, yaw;... | {
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"tags": "ros, arduino, bluetooth, rosserial-python",
"url": null
} |
quantum-mechanics, wavefunction
Title: Why does a plane wave leave the position of the particle unspecified? I'm covering a book on QM, and just started recently and I'm stuck at understanding something.
It says that we can describe the state of motion of a particle with an infinite plane wave equation:
$\psi(r,t)=Ae^... | {
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"tags": "quantum-mechanics, wavefunction",
"url": null
} |
c#, algorithm, programming-challenge, sorting, graph
private static void AddRecursiveDependency(Dictionary<Int32, Course> resultDict, Course dependency) {
//If already added, return
if (resultDict.ContainsKey(dependency.CourseID)) return;
//Add this dependencies
resultDi... | {
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"tags": "c#, algorithm, programming-challenge, sorting, graph",
"url": null
} |
acid-base
Title: Any compound which can react with some unknown calcium compound I have a body made of steel which needs to be cooled, and it is used tap water to do it and over the time that water has deposited some kind of calcium compound inside the cavity where it's running through and is damaging the cooling proc... | {
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As seen in the Wikipedia article and in Linear Algebra and Its Applications, $\sim$ indicates row equivalence between matrices.
• What is a pivot? What does $A \sim I$ mean? Your proof seems incomplete and complicated, while the provided proof is a straightforward consequence of definitions. – Crostul Sep 13 '16 at 11... | {
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"tag... |
python, python-2.x, api
def run(text):
"""
Main function that brings everything together - the first part of the URL is used as a parameter for the instantiation
of the API object. The string (that may be multiple sentences) is then replaced by calling other functions.
First the string is assigned to a... | {
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"tags": "python, python-2.x, api",
"url": null
} |
exoplanet
Title: The battle over Gliese 581 and Gliese 667C? In 2014, Robertson et al. made a case that stellar activity is masquerading as planets (here and here) for these well-known systems. In both cases, they claim that the only real planets discovered so far are planets "b" and "c". In 2015, Anglada-Escude et al... | {
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# Extension, restriction, and coextension of scalars adjunctions in the case of noncommutative rings?
If we have a ring homomorphism $f: R \to S$, then we can put an $(R,S)$ or $(S, R)$ bimodule structure on $S$ and define the extension $f_!:= S \otimes_R (-) : R \text{Mod} \to S \text{Mod}$, restriction $f_*: S \text... | {
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"lm_q2_score": 0.8670357615200474,
"openwebmath_perplexity": 386.31540707589267,
"openwebmath_score": 0.9737080335617065,
... |
machine-learning, neural-networks
Title: How to calculate the weight between neurons in ANN? I am currently learning Supervised ANN training using Backpropogation and I am stuck in this exercise. I calculated the δA using the equation at the bottom of the screenshot, however, I am unable to calculate δB because the we... | {
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"tags": "machine-learning, neural-networks",
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ros
Thanks
Originally posted by timgivois on ROS Answers with karma: 1 on 2014-02-05
Post score: 0
It sounds like you're missing the opencv package. Try:
sudo apt-get install ros-fuerte-opencv
Originally posted by ahendrix with karma: 47576 on 2014-02-05
This answer was ACCEPTED on the original site
Post score: 0 | {
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-
Actually, your code is remarkably fast, I can only beat it when I enable the compilation to C, and it is more compact, since what I do explicitly with type-identification and Dispatch, is done implicitly by LengthWhile here. I was initially suspecting that your version might be slower because typically rule-based var... | {
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"lm_q2_score": 0.894789464699728,
"openwebmath_perplexity": 3537.465825469592,
"openwebmath_score": 0.20916207134723663,
"tag... |
javascript, node.js, http, server
Title: Minimal, very simple, implementation of an HTTP server for static content, using only core node.js modules To practice the very basics of node back-end, I'm implementing the most basic server possible for static content, using only the core node modules:
http
fs
path
With the... | {
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quantum-mechanics, angular-momentum, operators, hilbert-space
Doing that, then, and dropping the primes, you get, finally
$$\mathbf{L}\rvert \mathbf{r}\rangle
=\mathbf{r} \times \left(+i\hbar\nabla_{\mathbf{r}}|\mathbf{r}\rangle\right)
\tag1$$
as you wanted to get. | {
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rosmake, osx
Original comments
Comment by Noldorin on 2013-03-12:
Guys, does anyone know how to solve this?
Comment by William on 2013-03-12:
@Noldorin There are three separate errors in that log. I'll try to answer them each, but in the future you should try to narrow the question down.
Comment by Noldorin on 2013-03... | {
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# Congruence equation
Printable View
• Oct 17th 2010, 08:12 PM
I-Think
Congruence equation
Good day to the MHF. Here's my problem
Find all integer solutions to $x^{19}+3x^2\equiv10$ $(mod$ $21)$
Just making sure my solution is complete
Solution
$x^{19}+3x^2\equiv10$ $(mod$ $21)$
By CRT, we can break this up to
$x^{1... | {
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"ta... |
quantum-gate, quantum-state, circuit-construction
Title: How to calculate circuit depth properly? Is the circuit depth the longest sequence of gates applied on one of the qubits?
Or is it something more complicated? The circuit depth is the length of the longest path from the input (or from a preparation) to the outpu... | {
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c#, database, synchronization, odbc
And to make it clear: If you have a non-thread-safe connection, lock the whole connection.
And to make it further clear, using an OdbcDataReader counts as using the connection. As long as you work with an OdbcDataReader, you should keep the lock on the connection.
This includes dis... | {
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"tags": "c#, database, synchronization, odbc",
"url": null
} |
signal-analysis, convolution, laplace-transform
Title: Transfer function $h(t)$ of a positive feedback system I want to find the transfer function h(t) of the below positive feedback system. I came out till this. | {
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Unlike the lemma, all $\lambda_1,\lambda_2,\ldots,\lambda_m\in\mathbb{K}$ are positive real numbers (i.e., they cannot be $0$). Thus, $\mathbf{x}_1,\mathbf{x}_2,\ldots,\mathbf{x}_m$ are all eigenvectors corresponding to the nonzero eigenvalues $\xi_1\lambda_1,\xi_2\lambda_2,\ldots,\xi_m\lambda_m$. Plus, the linear map ... | {
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"openwebmath_score": 0.9778361320495605,
"tag... |
quantum-field-theory, hilbert-space, many-body, quantum-states, coherent-states
&= -\exp\bigg\{-\frac{1}{2}\sum_i|\alpha_i|^2\bigg\}\sum_i \alpha_i|\psi_i\rangle
\end{align}
This is a well-defined state of $\mathfrak h$ only if $\sum_i |\alpha_i|^2 <\infty$, ie this condition is necessary. If this condition holds, we ... | {
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... |
javascript, jquery, html
/*profile*/
.profile img {
height: 300px;
width: 400px;
margin-top: 15%;
}
.artistHeader {
/*color: black;*/
margin-top: 7%;
}
.longName {
font-size: 20px;
}
#lightbox {
position: fixed;
top: 0;
left: 0;
width: 100%;
height: 100%;
background: url(http://lokeshdhakar.co... | {
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"tags": "javascript, jquery, html",
"url": null
} |
statistics
Models
There are other iterative model fitting techniques that can give you a final model, which can be interpreted and allow you to see which input variables (i.e. which of your 24 past data points were most important in fitting the model). you can have a look at component-wise gradient boosting. Here is a... | {
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orbitals, periodic-trends
Edit: Response to OP's third comment
the effective nuclear charge has bigger increase for 2p than 2s
(except N-O) according to this chart. How so?
The key here is that the s orbital is spatially symmetric, it has a spherical pattern. An electron in an s orbital can screen outer electrons... | {
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"tags": "orbitals, periodic-trends",
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} |
reinforcement-learning, markov-decision-process, importance-sampling
Title: Are successive actions independent? The proof of the consistency of the per-decision importance sampling estimator assumes the independence of
$$\frac{\pi(A_t|S_t)}{b(A_t|S_t)}R_{t+1}\quad\text{ and }\quad \prod_{k=t+1}^{T-1}\frac{\pi(A_k|S_k... | {
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"tags": "reinforcement-learning, markov-decision-process, importance-sampling",
"url": null
} |
waves
Title: Phase difference in sine waves Hey so I know that the phase difference is simply the difference in phase between two points on either the same wave or different waves.
Phase is represented by the letter phi in simple harmonic motion. Now I would like to ask, where can you measure the phase angle from, or ... | {
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concatenation in scilab The problem is that since i'm working with audio data, the matrices are long, and cat takes longer every time the for loop runs because it's handling more data each time the for loop runs. Language Processing. A1= [1 2 3 ; 4 5 6]; A2= [7 8 9 ; 10 11 12]; y=cat (1,A1,A2) => y= [1 2 3 ; 4 5 6 ;7 8... | {
"domain": "artruista.com",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9433475683211323,
"lm_q1q2_score": 0.8073651018048328,
"lm_q2_score": 0.8558511506439707,
"openwebmath_perplexity": 3828.1249397353417,
"openwebmath_score": 0.40898624062538147,
"t... |
biochemistry, endocrinology, chemical-communication
Title: Single hormone opposite effects Often, a smooth response to a hormone means that some processes must be sped up and others must be slowed down.
How can a single hormone have opposite effects like this? An hormone is not different from most other molecules. To ... | {
"domain": "biology.stackexchange",
"id": 219,
"lm_label": null,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "biochemistry, endocrinology, chemical-communication",
"url": null
} |
acid-base
So the problem in my mind is that carboranes and fluoroantimonic acid are solution measurements, but $\ce{HeH+}$ is a gas-phase measurement. It does have the highest gas-phase proton affinity. But I'd put my money on things I can use in lab.
Incidentally, the Reed group prepared the fluorinated carborane aci... | {
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"openwebmath_score": null,
"tags": "acid-base",
"url": null
} |
ruby, web-scraping, email, google-sheets, webdriver
def with_error_handling
yield
rescue => e
return e
end
#Main function
# Get all rows in the spreadsheet
(2..ws.num_rows).each do |row|
#Next row in spreadsheet if first name, last name or domain is missing in the row
next if ws[row, 1].nil? || ws[row... | {
"domain": "codereview.stackexchange",
"id": 24969,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ruby, web-scraping, email, google-sheets, webdriver",
"url": null
} |
solid-state-physics, crystals
Title: How to establish *theoretically* which Bravais lattice an atom element (or composite of atoms) of periodic Mendeleiev Table corresponds to? How to establish theoretically which Bravais lattice an atom element (or composite of atoms) of periodic Mendeleiev Table corresponds to ? Yes... | {
"domain": "physics.stackexchange",
"id": 65051,
"lm_label": null,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "solid-state-physics, crystals",
"url": null
} |
computational-physics, double-slit-experiment, interference, diffraction
Title: Numercial simulation of the double slit experiment Originally I had a code that simulates single slit diffraction:
parameters for functions: f(start_of_a_slit, end_of_a_slit, start_of_a_screen, end_of_a_screen, number_of_points, distance_b... | {
"domain": "physics.stackexchange",
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"openwebmath_score": null,
"tags": "computational-physics, double-slit-experiment, interference, diffraction",
"url"... |
ros
Title: I want to read an array of integers from a file and publish them on a topic
ros::Publisher publisher = nh.advertise<std_msgs::Int32MultiArray>("Topic_1",1);
std_msgs::Int32MultiArray vec;
int i=0;
ifstream infile("array1.txt");
while(infile >> temp)
{
vec[i++] = temp;
// publis... | {
"domain": "robotics.stackexchange",
"id": 23951,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros",
"url": null
} |
objective-c, ios, gui, cocoa-touch
- (void)awakeFromNib
{
[self setupAppearance];
}
- (void)setupAppearance
{
self.backgroundColor = [UIColor clearColor];
}
//----------------------------------------------------
#pragma mark - Elements
//----------------------------------------------------
+ (UIImage *)back... | {
"domain": "codereview.stackexchange",
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"tags": "objective-c, ios, gui, cocoa-touch",
"url": null
} |
inorganic-chemistry, synthesis, reactivity, solid-state-chemistry
Cobalt may react with nitrogen to produce $\ce{CoN}$ made of $\ce{Co^3+}$ and $\ce{N^3-}$. And maybe this compound $\ce{CoN}$ is surrounded by six $\ce{N2}$ in the same way as $\ce{Co^3+}$ is surrounded by six ligands in the $\ce{Co^3+}$ complexes. This... | {
"domain": "chemistry.stackexchange",
"id": 12957,
"lm_label": null,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "inorganic-chemistry, synthesis, reactivity, solid-state-chemistry",
"url": nul... |
particle-physics, cp-violation
$K^0$ and $\overline{K^0}$ are the kaons produced by strong interaction. They have a definite isospin and strangeness quantum numbers made respectively of $d\bar{s}$ and $\bar{d}s$. However they can oscillate meaning that they transform spontaneously in each other: $K^0 \leftrightarrow \... | {
"domain": "physics.stackexchange",
"id": 25316,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "particle-physics, cp-violation",
"url": null
} |
php, object-oriented, css, file, image
Title: Getting color information from an image I am working on a site that themes itself based on images / logos. I have made a utility class that gets the colors from an image, shown below. I am fairly new to OOP with PHP, and I'm looking for feedback on what I could improve wit... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "php, object-oriented, css, file, image",
"url": null
} |
c#, beginner
public class delete
{
public void Files(string mainpath)
{
Directory.Delete (mainpath, true);
}
}
public class pause
{
public void Input()
{
Console.WriteLine("Press any key to continue. . .");
Console.ReadKey();
... | {
"domain": "codereview.stackexchange",
"id": 10049,
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"openwebmath_score": null,
"tags": "c#, beginner",
"url": null
} |
The same behavior will have $f'$: negative over $(0,\arctan\sqrt{t_1})$, positive over $(\arctan\sqrt{t_1},\arctan\sqrt{t_2})$ and negative over $(\arctan\sqrt{t_2},\pi/2)$.
Now that you know the existence and uniqueness of $u=\arctan\sqrt{t_1}$ and $v=\arctan\sqrt{t_2}$, it should be easy to exploit the symmetry and ... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9748211561049158,
"lm_q1q2_score": 0.8080670812887993,
"lm_q2_score": 0.8289388019824947,
"openwebmath_perplexity": 192.8241497567366,
"openwebmath_score": 0.9836795330047607,
"tag... |
biochemistry, structural-biology
But why is that? Why do we always have to add the hydrogen atoms? And do we only have to do that for titratable groups, or for all? The RCSB Protein Data Bank (PDB) presently has 137,917 structures deposited in it, of which less than 10% have been solved by nuclear magnetic resonance (... | {
"domain": "biology.stackexchange",
"id": 8351,
"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": "biochemistry, structural-biology",
"url": null
} |
thermodynamics, waves, acoustics, everyday-life
I decided to take a shot at finding the temperature needed for the Brownian noise to be about as loud as a conversation. For $60\ \rm dB (SPL)$, with the usual reference of $2\times 10^{-5}\ \rm Pa$ and considering the ear's highest sensitivity region, we're looking for ... | {
"domain": "physics.stackexchange",
"id": 51562,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "thermodynamics, waves, acoustics, everyday-life",
"url": null
} |
electromagnetism, waves, visible-light, magnetic-fields, electric-fields
Title: What keeps a light wave 'waving'? Why does the a light wave crest, rather than continuing off in the direction it's heading prior to the moment it begins cresting?
What force/acceleration/thing 'turns' the wave towards the bottom (or top) ... | {
"domain": "physics.stackexchange",
"id": 82088,
"lm_label": null,
"lm_name": null,
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"tags": "electromagnetism, waves, visible-light, magnetic-fields, electric-fields",
"url"... |
ros, turtlebot, package, ros-electric
}
return(0);
}
Originally posted by Tubot on ROS Answers with karma: 1 on 2012-12-05
Post score: 0
Original comments
Comment by Lorenz on 2012-12-05:
Is this really your code? I doubt that it compiles. The type you specify in the advertise call (geometry_msgs::twist) does not ex... | {
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"tags": "ros, turtlebot, package, ros-electric",
"url": null
} |
A = SparseArray[
Transpose[{idx, Range[Length[idx]]}] -> 1.,
{Length[boxcenters], Length[posdata]},
0.
];
meanvelocities = (A.veldata)/Clip[Total[A, {2}], {1., \[Infinity]}];
meanxvelocities = meanvelocities[[All, 1]];
Assigning some colors and plotting the result.
cols = ColorData["DarkRainbow"] /@ Rescale[meanxvel... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9678992969868542,
"lm_q1q2_score": 0.8107317736524451,
"lm_q2_score": 0.8376199633332891,
"openwebmath_perplexity": 6663.459321749376,
"openwebmath_score": 0.17257846891880035,
"ta... |
javascript, object-oriented, timer
button.addEventListener('click', function() {
if (!startTime) startTime = new Date();
timer.callTimer();
})
button2.addEventListener('click', function() {
if (!startTime) startTime = new Date();
timer.callTimer(function() {
console.log('Temporarily change... | {
"domain": "codereview.stackexchange",
"id": 6540,
"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, object-oriented, timer",
"url": null
} |
homework-and-exercises, newtonian-mechanics, classical-mechanics, spring
Title: Can an accelerated spring in static equilibrium in its rest frame have different forces at each end? Let's say I have two identical masses connected by a spring: | {
"domain": "physics.stackexchange",
"id": 50786,
"lm_label": null,
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"openwebmath_score": null,
"tags": "homework-and-exercises, newtonian-mechanics, classical-mechanics, spring",
"url"... |
c++, ros-melodic
Title: ServiceServer declaration within a class
I'm running on Ubuntu 18.04LTS using ROS melodic and kernel 5.0.0-25-generic. I'm currently trying to add a service server to my c++ class. Is this possible?
Should I declare the service inside my class or in the main of the node?
#include <ros/ros.h>
#... | {
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"tags": "c++, ros-melodic",
"url": null
} |
algorithms, graphs, optimization
In the event you want a formulation with terminal nodes (sink/sources), you can add in dummy nodes s and t (denoting box 1 and box 2), connect edges from all books to these nodes with an arbitrary weight W. A partitioning that divides s, t has weight
\begin{align}\sum_{i \in B_1}\sum_{... | {
"domain": "cs.stackexchange",
"id": 13677,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "algorithms, graphs, optimization",
"url": null
} |
c#, csv
foreach (string s in lines)
{
// Adds only the "metadata" lines to the List
if ((Regex.Match(s, match)).Success)
fileData.Add(s);
}
... | {
"domain": "codereview.stackexchange",
"id": 30830,
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"url": null
} |
$$\frac{1}{2\sqrt{x}} < \frac{1}{2\sqrt{c}} < \frac{1}{2}$$
to conclude.
• how did you know $$f(t)=\sqrt{t}$$? can you show me a different approach too? if possible. – Sherlock Homies May 30 '15 at 21:27
• @SherlockHomies note $\sqrt{x} - 1 = \sqrt{x} - \sqrt{1} = f(x) - f(1)$, where $f(t) = \sqrt{t}$. If you want to... | {
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"lm_q2_score": 0.8856314692902446,
"openwebmath_perplexity": 209.8525740756792,
"openwebmath_score": 0.8890299201011658,
"tag... |
condensed-matter, stars, stellar-physics, stellar-evolution, virial-theorem
Oddly, at the same time, we can use the virial theorem to see that
$$ \Delta U = -\frac{1}{2} \Delta \Omega = -\Delta E_{tot}$$
is positive. i.e. the internal energies of particles in the gas (and hence their temperatures) actually become hott... | {
"domain": "physics.stackexchange",
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"openwebmath_score": null,
"tags": "condensed-matter, stars, stellar-physics, stellar-evolution, virial-theorem",
"u... |
geology, mineralogy, minerals, weathering
To me, supergene has a specific meaning, it may be part of the weathering process in some locations, but weathering involves the breaking down of rocks due to: reactions with atmospheric gasses, water (usually rain), changes brought on by plants, bacteria wind and temperature.... | {
"domain": "earthscience.stackexchange",
"id": 1964,
"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": "geology, mineralogy, minerals, weathering",
"url": null
} |
quantum-algorithms, nisq
Title: NISQ algorithm: do they all have circuit updated between each run AND impossible to predict when they will stop? I don't know very much the NISQ algorithms, but the ones that I know are based on kind of "Hybrid" calculation between a quantum computer and a classical computer.
Indeed, fo... | {
"domain": "quantumcomputing.stackexchange",
"id": 2328,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "quantum-algorithms, nisq",
"url": null
} |
especially if it’s roughly equally spaced apart, is that polynomial interpolation suffers from Runge’s Phen. This time we will need three points to interpolate. With the aid of a calculator, the method of successive approximations can be done quickly. Use the Intermediate Value Theorem to approximate real zeros of poly... | {
"domain": "vigolzonecalcio.it",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9933071480850775,
"lm_q1q2_score": 0.8211787344566385,
"lm_q2_score": 0.8267117940706734,
"openwebmath_perplexity": 516.5549464544059,
"openwebmath_score": 0.7137375473976135,
... |
quantum-mechanics, hilbert-space, operators, commutator
This is a statement from Lectures on Quantum Mechanics by Weinberg and it is not an obvious statement. How to prove this? I am not asking for a rigorous proof, some intuitive proof is sufficient. Also $[A, B]\psi =0$ does not necessarily guarantee that A and B co... | {
"domain": "physics.stackexchange",
"id": 74995,
"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, operators, commutator",
"url": null
} |
$\displaystyle = -2 \int \frac {dt}{2-t^2} = 2\int \frac {dt}{t^2-2} =$
$\displaystyle =2 \int \frac {dt}{(t-\sqrt{2})(t+\sqrt{2})}= 2 \frac {1}{2\sqrt{2}} \ln {\Big{|}\frac {t-\sqrt{2}}{t+\sqrt{2}}\Big{|}}=$
$\displaystyle = \frac {1}{\sqrt{2}} \ln {\Big{|}\frac {\sqrt{1-x}-\sqrt{2}}{\sqrt{1-x}+\sqrt{2}}\Big{|}} + C... | {
"domain": "mathhelpforum.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9859363758493941,
"lm_q1q2_score": 0.8060764226189263,
"lm_q2_score": 0.8175744828610095,
"openwebmath_perplexity": 1190.5015344622518,
"openwebmath_score": 0.880521297454834,
"tag... |
least squares … 38 to! Practised to find a regression line or a best-fit line for the given pattern squares permalink! Da b residuals of points from the plotted curve given data set is the least squares method can given. Line of best fit to a time series analysis for the given pattern line best. Will explore least-squa... | {
"domain": "makeplayscoaching.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9766692339078752,
"lm_q1q2_score": 0.8007645919746638,
"lm_q2_score": 0.8198933315126791,
"openwebmath_perplexity": 671.2419532897117,
"openwebmath_score": 0.4857292175292969,
... |
java, algorithm, primes, stream, sieve-of-eratosthenes
rangeClosed(2, (int) Math.sqrt(n))
.filter(x -> !notPrime[x])
.flatMap(x -> iterate(x * x, m -> m <= n, m -> m + x))
.forEach(x -> notPrime[x] = true);
return rangeClosed(2, n)
.filter(x -> !notPrime[x])
... | {
"domain": "codereview.stackexchange",
"id": 27649,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, algorithm, primes, stream, sieve-of-eratosthenes",
"url": null
} |
variables and is denoted by the letter ' r ' regression - statistical linear correlation coefficient analysis analyzing. Shows the coefficients of the linear correlation coefficient for your data to a new spreadsheet the... Less than -1 or +1 imply an exact linear relationship besteht ein vollständig positiver ( bzw ch... | {
"domain": "ceewl.ca",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9879462226131666,
"lm_q1q2_score": 0.8030691871859112,
"lm_q2_score": 0.8128673087708698,
"openwebmath_perplexity": 584.1952170989096,
"openwebmath_score": 0.6945340037345886,
"tags": null,... |
For convenience's sake we use $2\pi$ instead of $\pi$. You need to prove the images of the $a\rightarrow a\pmod{2\pi}, a\in \mathbb{N}$ is equidistributed. This can be done by Weyl's criterion that modified with $\pmod{2\pi}$ instead of $\pmod{1}$. We need to prove that $$\lim_{n\rightarrow \infty}\frac{1}{n}\sum^{n-1}... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9848109536438792,
"lm_q1q2_score": 0.8290391126096032,
"lm_q2_score": 0.8418256412990658,
"openwebmath_perplexity": 78.39606507332368,
"openwebmath_score": 0.968724250793457,
"tags... |
c++, game, console, hangman
Title: Hangman game with hard-coded word or phrase I feel that this implementation can still be simplified. I've tried to keep variable scopes low and have used as much of the standard library as I could.
It currently works with a hard-coded word or phrase, but I eventually plan on having ... | {
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"tags": "c++, game, console, hangman",
"url": null
} |
## Spring Constant given mass, and equivalent mass in free fall from fixed height.
Oh yea, that's true, my bad. You see, the point of balance for the oscillation of the second block isn't the point that it initially is, where it touches the spring, but a little below that, so that the force from the spring is opposite... | {
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"lm_q1_score": 0.9702399026119353,
"lm_q1q2_score": 0.8042695127572065,
"lm_q2_score": 0.8289388125473628,
"openwebmath_perplexity": 648.8661204809246,
"openwebmath_score": 0.49920782446861267,
"ta... |
Graphing this as an exponential function was not possible.
What's going on?
• – J.G.
Sep 14 '19 at 18:51
• Wolfram is taking the root before raising it to the 16th power. The principle 100th root of $-1$ has an angle of $180^o/100 = 1.8^o$. Then sixteen of these angles angles added together gives you $28.8^o$ Sep 14 ... | {
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"lm_q2_score": 0.8354835350552603,
"openwebmath_perplexity": 209.53059375189133,
"openwebmath_score": 0.9009556174278259,
"ta... |
php, template
echo $this->page_content; // this will render page contents
?>
</div>
master.phtml (we need to define placeholders in the template)
<!DOCTYPE html>
<html>
<head>
<title><?php echo $this->placeholder->pageTitle ?></title>
<meta http-equiv="Content-Type" content="text/html; charset=UT... | {
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"id": 1734,
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"openwebmath_score": null,
"tags": "php, template",
"url": null
} |
quantum-mechanics, hamiltonian, perturbation-theory
So if you calculate $\hat{H}$ you get
$$\displaystyle \hat {H}= -\sum_i {\frac{h^2}{2m} \nabla^2_i } + \sum_i U{(r_i)} + \displaystyle \sum_{i>j} \frac{e^2}{4 \pi \epsilon_0 r_{ij}} - \sum_i U{(r_i)} - \sum_i \frac{Z e^2}{4 \pi \epsilon_0 r_{i}}$$
$$\displaystyle \ha... | {
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"openwebmath_score": null,
"tags": "quantum-mechanics, hamiltonian, perturbation-theory",
"url": null
} |
c, variant-type
/**
* @brief Get the direct pointer of variable as unsigned long *
* @brief to directly set the value / use in functions like scanf().
* @brief Also sets the current type to unsigned long.
* @param var The variable to get pointer from.
*/
unsigned long* (*in_ulong)(dtype* va... | {
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"tags": "c, variant-type",
"url": null
} |
ros
Title: *low level* messages in ROS (Indigo)
Hello everyone,
I'm beginner in ROS and I have a question about the messages in ROS.
Are there low level messages in ROS?
For example, if i want to move the robot to location (x,y), I need to send a MoveBaseGoal message. I want to know if there is a way to see messages ... | {
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"id": 27502,
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"tags": "ros",
"url": null
} |
factoring
Title: Number of digits in a binary product Assume i have 2 numbers in binary form (or, more precisely, assume to know the number of their digits, DF1, DF2):
101010101001010101010101010111111111111111111111010101
10101111111111111111010101
Is there a formula for the exact number of binary digits (DP) of the ... | {
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"openwebmath_score": null,
"tags": "factoring",
"url": null
} |
java, algorithm, interview-questions, k-sum
An \$O(n)\$ solution is:
start with an empty set
for each value x in the list:
if set contains expectedSum - x, return true
add x to the set.
returnfalse
It is important to check for containment before adding the value, or ({1,2,3,4}, 8) would return true, despite not co... | {
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"tags": "java, algorithm, interview-questions, k-sum",
"url": null
} |
inorganic-chemistry, acid-base
We're looking at the following reactions:
$$\begin{align}
\ce{HA &<=>[$K$_{\text{a, 1}}][$K$_{\text{b, 1}}] H+ + A- && (1) }\\
\ce{H+ + B- &<=>[$K$_{\text{b, 2}}][$K$_{\text{a, 2}}] HB && (2)}
\end{align}$$
A is the weak acid and B the weak base with the according equilibrium constant... | {
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"tags": "inorganic-chemistry, acid-base",
"url": null
} |
algorithms, sorting
The best sort algorithm is the one that fits the peculiarities of your data and your platform.
The second-best sort algorithm is one you didn't have to write.
Make sure that sort is a bottleneck before getting fancy.
Knowing lots of sort algorithms is good for you, but not necessarily to the point... | {
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"id": 9741,
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"tags": "algorithms, sorting",
"url": null
} |
quantum-field-theory, kinematics, s-matrix-theory
Adding the two hyperbolic inverse tangent terms together we get,
$$\begin{align}
[\text{artanh}\,x_2(\theta)-\text{artanh}\,x_1(\theta)]\bigg|_{-1}^{1}&=\,\text{artanh}\left[\frac{x_2(\theta)-x_1(\theta)}{1+x_1(\theta)x_2(\theta)}\right]\bigg|_{-1}^{1}\\
&=\,\text{arta... | {
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"tags": "quantum-field-theory, kinematics, s-matrix-theory",
"url": null
} |
newtonian-mechanics, forces, work
Title: Conservation of mechanical energy when object strikes the ground When I raise a pen, the external work I do gets stored in the form of potential energy hence the mechanical energy is increased. When I leave the pen the pen starts falling and as the potential energy decreases th... | {
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"tags": "newtonian-mechanics, forces, work",
"url": null
} |
python, comparative-review
Title: Two ways to remove duplicates from a list The question is - Write a program to remove the duplicates in a list
Here's how I did it-
numbers = [1, 1, 1, 3, 3, 7, 7]
for i in numbers:
while numbers.count(i) > 1:
numbers.pop(numbers.index(i))
print(numbers)
Here's how the te... | {
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"openwebmath_score": null,
"tags": "python, comparative-review",
"url": null
} |
c#, entity-framework, asp.net-core
Title: Proper way to work with stored procedures in Entity Framework Core I need to work with stored procedures, with the help of Entity Framework Core. This is my function:
public async Task<bool> CheckIfUserRegistered(string phoneNumber, DateTime dateOfBirth)
{
if (stri... | {
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"tags": "c#, entity-framework, asp.net-core",
"url": null
} |
I cannot wrap my head on how the condition of infinitely many integers makes difference rather than saying for all n greater than certain $n_0$.
• If the two definitions, once negated, become equivalent, they were already equivalent before the negation. Since that does not hold, you probably made some mistake when neg... | {
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"openwebmath_score": 0.8764187097549438,
... |
homework-and-exercises, newtonian-mechanics, rotational-dynamics, torque, estimation
Title: Torque (in $Nm$) of a cyclist We're discussing bicycles with a friend, and it came to safety, speed and power. Now the question we have is: how much torque do my legs provide to the bicycle?
I'm no expert in physics sadly, and ... | {
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"id": 22496,
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"openwebmath_score": null,
"tags": "homework-and-exercises, newtonian-mechanics, rotational-dynamics, torque, estimati... |
magnetic-fields
Title: Properties of magnetic field While studying magnetic field and electric field I encounter the following properties of it for which I need an explanation as what they mean.
magnetism is relativistic
magnetic field has three dimensional relevance
magnetic field depend on time like electric fiel... | {
"domain": "physics.stackexchange",
"id": 54719,
"lm_label": null,
"lm_name": null,
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"openwebmath_score": null,
"tags": "magnetic-fields",
"url": null
} |
• Adjacency List • More compact than adjacency matrices if graph has few edges • Requires more time to find if an edge exists • Adjacency Matrix • Always require n2 space • This can waste a lot of space if the number of edges are sparse • Can quickly find if an edge exists. Undirected graphs representation. But in my c... | {
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"lm_q1q2_score": 0.8204709305772484,
"lm_q2_score": 0.8333245891029457,
"openwebmath_perplexity": 1078.7558530364001,
"openwebmath_score": 0.3325174152851105,
... |
haskell
What would the type of the function we're interested in be? Logically, it has to be:
Char -> Bool
Unfortunately, in the case there are a lot of functions with that signature, but eventually we find isDigit in Data.Char.
λ> import Data.Char
λ> isDigit '7'
True
λ> isDigit 'w'
False
Look at the source for that ... | {
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"openwebmath_score": null,
"tags": "haskell",
"url": null
} |
homework-and-exercises, optics, lenses, telescopes
Title: The Final Image?
I can't understand that if these lines are parallel to each other how and where the final image would form? This telescope does not form a real image, but when you put your
eye up to it, your lens focuses parallel rays to a point on your
retin... | {
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"openwebmath_score": null,
"tags": "homework-and-exercises, optics, lenses, telescopes",
"url": null
} |
quantum-mechanics, waves, wavefunction, fourier-transform, dispersion
What is unclear to me here is why do we Taylor-expand the function $\omega\left(k\right)$
Proceeding on, the author performed a change of coordinate variables from $k$ to $s\equiv k-k_{0}$ so that
$$\Psi\left(x,t\right)\approx \frac{1}{\sqrt{2\pi}}\... | {
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"tags": "quantum-mechanics, waves, wavefunction, fourier-transform, dispersion",
"url": n... |
method.! \Frac { 1 } { n! \ ) / e ) n, Stirling 's formula. full!, H. a Remark of Stirling ’ s formula provides an approximation which is relatively easy compute! Te zijn: → ∞ the right order of magnitude for log ( n / e n. Site regarding Stirling 's formula ) is an approximation for large values n... Following notatio... | {
"domain": "jvestrada.com",
"id": null,
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9653811651448431,
"lm_q1q2_score": 0.8609375937676494,
"lm_q2_score": 0.891811053345418,
"openwebmath_perplexity": 1018.662859576413,
"openwebmath_score": 0.9310174584388733,
"tags": n... |
homework-and-exercises, newtonian-mechanics, string
Title: Acceleration of masses over a pulley If two masses are connected by a string that passes over a massless, frictionless pulley as shown in the two examples below, is it necessary that they must have the same velocity and acceleration? If not, wouldn’t the strin... | {
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"tags": "homework-and-exercises, newtonian-mechanics, string",
"url": null
} |
# How many non-isomorphic permutation selections are on an arbitrary N x N square matrix with rotations applied?
My question is an extension to a classic one:
On a square $N \times N$ grid, select exact $N$ cells that satisfy condition: only one cell selected in same row and column. How many solutions will be? The an... | {
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"lm_q1_score": 0.9893474904166246,
"lm_q1q2_score": 0.8065482218877573,
"lm_q2_score": 0.8152324938410784,
"openwebmath_perplexity": 357.9232614881484,
"openwebmath_score": 0.9569901823997498,
"tag... |
homework-and-exercises, electrostatics
Title: Total number of electric field lines coming out of a proton? I have to calculate the total number of electric field lines through a proton. I tried using Gauss' Law, i.e, $$\phi = \oint\boldsymbol E.d\boldsymbol s = {\frac{q}{\epsilon_0}} $$ $$So, \phi = {\frac{q}{\epsil... | {
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"id": 14436,
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"openwebmath_score": null,
"tags": "homework-and-exercises, electrostatics",
"url": null
} |
2. We know that whatever value we have for $x$, the best course to the shore is a straight line, with no curves. To find this distance, we simply use geometry.
We know that the shortest distance from ship to shore makes a right angle. The distance from the boat to shore such that $x$ is an unknown variable, therefore,... | {
"domain": "mathhelpforum.com",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9835969684454966,
"lm_q1q2_score": 0.8131512165257674,
"lm_q2_score": 0.8267117962054048,
"openwebmath_perplexity": 430.48310905552347,
"openwebmath_score": 0.7750922441482544,
... |
# Using Eulers equation to find General Solutions
I have the problem $y''+4y = 0$ where $y(0) = 1$ , and $y'(0) = 0$
I have to find a particular solution, making a guess it is in the form $y(x) = e^{rx}$
I have the solution here, but I cannot quite follow it. I get that the Euler equation is $r^2 + 4 = 0$; and that ... | {
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"lm_q1_score": 0.973240719919151,
"lm_q1q2_score": 0.8089022562180944,
"lm_q2_score": 0.8311430457670241,
"openwebmath_perplexity": 464.3167181296406,
"openwebmath_score": 0.9998140931129456,
"tags... |
periodic-trends, ionization-energy
Title: Ionization energy of neon vs its cationic counterpart
Which requires more ionization energy: $\ce{Ne}$ or $\ce{Ne+}?$
It seems to me like it should be neon because of noble gas configuration, but the answer given is $\ce{Ne+}.$ Does this anything to do with size of the atom ... | {
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"openwebmath_score": null,
"tags": "periodic-trends, ionization-energy",
"url": null
} |
taxonomy
Title: Why are sponges sometimes not considered multicellular? I read somewhere (I can't find where) that there is no scientific consensus whether sponges should be considered multicellular organisms.
It seems I don't understand where is the line between unicellular and multicellular life.
I am not able to fi... | {
"domain": "biology.stackexchange",
"id": 5563,
"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": "taxonomy",
"url": null
} |
java, image, animation, javafx
animationSpeed += 3;
if (animationSpeed >= 15) {
view.setEffect(new MotionBlur());
}
} else if (e.getCode() == KeyCode.ALT) {
if (animationSpeed >= 15 && animationSpeed < 18){
view.setEffe... | {
"domain": "codereview.stackexchange",
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"openwebmath_score": null,
"tags": "java, image, animation, javafx",
"url": null
} |
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