text stringlengths 49 10.4k | source dict |
|---|---|
gravity, dark-energy, galactic-dynamics, intergalactic-space, antimatter
Does antimatter have negative gravity?
If antimatter has negative gravity, and is present in the universe with equal amounts of matter and antimatter, would it produce the observed amount of dark energy in the universe?
My theory that I am try... | {
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"tags": "gravity, dark-energy, galactic-dynamics, intergalactic-space, antimatter",
"url... |
java, swing
/**
* Application entry point.
* Responsible for configuration of locale and look & feel, and for loading
* the GUI.
* @author SingularityFX
*
*/
public class Application {
private static Logger log = Logger.getLogger(Application.class.getName());
/**
* GUI messages for locale specified ... | {
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"tags": "java, swing",
"url": null
} |
python, time-series, forecasting, statsmodels
Title: How do I use number of hours as index in timeseries forecasting? I have a dataset that has number of hours (consecutive value) and total sales in that 1 hour in my dataset. See below for head of the dataset:
t sales
--------------
23 172.3676
24 176.3456
25 ... | {
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"tags": "python, time-series, forecasting, statsmodels",
"url": null
} |
microbiology, metabolism, cellular-respiration, prokaryotic-cells
Title: Do Alicyclobacilli produce carbon dioxide? Do Alicyclobacilli, especially guaiacol producing ones, still produce carbon dioxide? Alicyclobacillus spp. are well known spoilage organisms in the fruit juice industry. Apparently there is no "blowing ... | {
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"tags": "microbiology, metabolism, cellular-respiration, prokaryotic-cells",
"url": null
} |
acid-base, resonance
Look at the number of oxygens bonded to the central atoms. More oxygens -> stronger acid, e.g., $\ce{HNO3}$ is stronger than $\ce{HNO2}$.
If the number of oxygens is equal, consider the electronegativity of the central atom. Higher electronegativity -> stronger acid. For instance, $\ce{HBrO3}$ is ... | {
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"tags": "acid-base, resonance",
"url": null
} |
newtonian-gravity, potential, potential-energy, virial-theorem
So my question is as follows:
If I go ahead and integrate $(2)$ I find that
$$\Omega=-\left[\frac{Gm^2}{2r}\right]_{m=0}^{m=M}=-\frac{GM^2}{2r}\ne U$$
But unless I'm mistaken, $\Omega$ must be equal to $U$.
Why are equations $(1)$ and $(2)$ apparently i... | {
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"tags": "newtonian-gravity, potential, potential-energy, virial-theorem",
"url": null
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appearance. Know in order to pass the quiz include sets, subsets, and elements explain its usage developed a and! Gives a summary of the foundational systems for Mathematics, and then select symbol! Area shaded in purple us consider the set is specified as a selection a. Out in Norman Weinberg ’ s usage and meaning ERD... | {
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"openwebmath_score": 0.680533766746521,
"... |
fluid-dynamics, pressure
There are other sources of energy which could conceivable be used in a siphon-like experiment. One possible candidate is surface tension.
If the surface tension of a fluid is strong enough then it might in principle be able to overcome gravity. You would need a liquid that can form large drops... | {
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"tags": "fluid-dynamics, pressure",
"url": null
} |
K equal to 1, that would be a straight line fit. And you would compute that by least squares, because of course no straight line is going to go through all the points. You're going to have some error by least squares.
2 would be fitting by a parabola. Again, you'll have some error, but smaller since parabolas include ... | {
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"lm_q1_score": 0.9867771766922545,
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"lm_q2_score": 0.8289388019824946,
"openwebmath_perplexity": 610.2312734417585,
"openwebmath_score": 0.7315199971199036,
"tags": null,
... |
Added by: Wanderley Guimarăes Date: 2007-09-21 Time limit: 0.254s Source limit: 50000B Memory limit: 1536MB Cluster: Cube (Intel G860) Languages: All except: ERL JS-RHINO Resource: University of Ulm Local Contest 2003 | {
"domain": "spoj.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9777138144607744,
"lm_q1q2_score": 0.8441499060792659,
"lm_q2_score": 0.8633916117313211,
"openwebmath_perplexity": 1040.850218816793,
"openwebmath_score": 0.5462732911109924,
"tags": null,... |
javascript, jquery
},
gotopreviousThumbnails : function() {
var obj = this;
},
init : function() {
var obj = this;
}
},
init : function() {
var obj = this;
this.videos.init();
}
}
Working example : http://jsfiddle.net/ylokesh/9EyEu... | {
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"tags": "javascript, jquery",
"url": null
} |
data-structures
Title: How Can we make $O(N)$ order statistic queries with Fibonacci heap in $O(N)$? We have a Fibonacci heap with $N$ unique elements we want to make $O(N)$ order statistic queries (e.g., what is the element number 7 in this collection if it was sorted). Moreover, we know that the order statistic quer... | {
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"tags": "data-structures",
"url": null
} |
performance, beginner, haskell, functional-programming, programming-challenge
You've got a good solution to the problem of sumProgressions2 3 5 1000 disguised as a faulty solution to the problem of sumProgressions2 d1 d2 limit. So, technically, you'd be in better shape if you had been less ambitious.
Optimization:
The... | {
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"tags": "performance, beginner, haskell, functional-programming, programming-challenge",
... |
javascript, css, signal-processing, d3.js, jquery-mobile
}).filter(purgeNulls); // js Array.filter() method
return {
'mag': {data:data1, width:1, color:this.settings.color, stroke:'0,0', legend:this.settings.legend1 },
'phs': {data:data2, width:1, color:this.settings.color, ... | {
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"tags": "javascript, css, signal-processing, d3.js, jquery-mobile",
"url": null
} |
# Arithmetically random bitstreams
Motivation (informal). When trying to generate a random bit-stream, we expect that "half of the" bits are $$0$$, and the "other half" are $$1$$. So, how about $$010101\ldots$$? Well, we would also expect that if we look at every second member of the sequence, then "half of" those bit... | {
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"openwebmath_perplexity": 450.08331542442926,
"openwebmath_score": 0.8968937993049622,
"tag... |
homework-and-exercises, forces, aerodynamics
Values used:
$$gravity = 9.8 \ m/s^2\\
mass = 0.01 \ kg\\
sphere \ diameter = 0.1 \ m\\$$
I think this is pretty reasonable... If the pipe is cylindrical, there is no equilibrium height. All the air that goes in at the bottom must come out at the top, so the force balance w... | {
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"tags": "homework-and-exercises, forces, aerodynamics",
"url": null
} |
This online aptitude test on Compound Interest is useful for candidates preparing for banking exams - Bank PO, IBPS PO, SBI PO, RRB PO, RBI Assistant, LIC,SSC, MBA - MAT, XAT, CAT, NMAT, UPSC, NET etc. COMPOUND INTEREST TABLES 561 1 / 2 %Compound Interest Factors 1 2 Single Payment Uniform Payment Series Arithmetic Gra... | {
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"lm_q1_score": 0.9869795098861572,
"lm_q1q2_score": 0.815947592901234,
"lm_q2_score": 0.8267117855317474,
"openwebmath_perplexity": 1403.1439827840675,
"openwebmath_score": 0.4161606729030609,
... |
phase spectrum (a plot of q n vs. (In case you’re not a native English speaker who just made a typo, “the Fourier series” refers to one particular Fourier series that you have in mind, whe. Assuming for the moment that the complex Fourier series "works," we can find a signal's complex Fourier coefficients, its spectrum... | {
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"lm_q1_score": 0.9865717436787543,
"lm_q1q2_score": 0.8178076034440476,
"lm_q2_score": 0.828938806208442,
"openwebmath_perplexity": 841.7845465568142,
"openwebmath_score": 0.8453619480133057,
... |
enter the values for Matrix (A) and click calculate and calculator will provide you the Adjoint (adj A), Determinant (|A|) and Inverse of a 3x3 Matrix. By using this website, you agree to our Cookie Policy. You can check your answer using the Matrix Calculator (use the "inv(A)" button). Get the free "(Determinant, Inve... | {
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"id": null,
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9711290930537121,
"lm_q1q2_score": 0.8366648147771559,
"lm_q2_score": 0.8615382040983515,
"openwebmath_perplexity": 1002.7699095841417,
"openwebmath_score": 0.5180405378341675,
... |
java, game, swing
//adding to setup panel
setupPan.add(setupInfoPan, BorderLayout.CENTER);
setupPan.add(cancelBut, BorderLayout.SOUTH);
//adding to game panel
gamePan.add(endGameBut, BorderLayout.SOUTH);
gamePan.add(innerGamePan, BorderLayout.CENTER);
//setting up cont... | {
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"tags": "java, game, swing",
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OK. Enough mathematical digression. Let’s first take a look at how we can count the number of possibilities for each sum more efficiently (instead of listing out the possibilities). How can we make 9, for example, with three dice? We can roll a 1 and then the remaining two dice have to sum up to 8. We can roll a 2 and ... | {
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"tags":... |
# Determining variance from sum of two random correlated variables
I understand that the variance of the sum of two independent normally distributed random variables is the sum of the variances, but how does this change when the two random variables are correlated?
-
You have to add twice the covariance. – David Mit... | {
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discrete-signals, fourier-transform, convolution, cross-correlation, physical-units
-------------------------------------- END --------------------------------------
On the other hand, the cross-correlation is rather meant to be some kind of inner-products series, so it makes more sense to see it as some kind of energ... | {
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"tags": "discrete-signals, fourier-transform, convolution, cross-correlation, physical-units",
... |
quantum-mechanics, hilbert-space, notation
Having done, that, we now come to some of the places where you've gone down some very strange roads:
3. $\langle x| O\rangle$ does not mean anything. Neither does "operator on an eigenvalue of $O$ that produces the corresponding eigenfunction under a position basis".
4. $|O\r... | {
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"tags": "quantum-mechanics, hilbert-space, notation",
"url": null
} |
motion, pose
Title: Step size in numerical differentiation I get position information and a corresponding timestamp from a motion tracking system (for a rigid body) at 120 Hz. The position is in sub-millimeter precision, but I'm not too sure about the time stamp, I can get it as floating point number in seconds from t... | {
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"id": 1059,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "motion, pose",
"url": null
} |
c++, game-of-life
Title: Conway's Game of Life in C++ This is my attempt at Conway's Game of Life. It works, and it's the most complicated program I've made to date. I'm sure it's pretty poorly done. Any ideas on how I can improve on it?
#include <iostream>
#include <cstdlib>
const int gridsize = 75; //Making this a... | {
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"tags": "c++, game-of-life",
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} |
mechanical-engineering, building-design, construction-management
Title: Aluminium Beam - is it fit for purpose? Can it easily support this load? I want to mount two patio heaters on my terrace in front of a window wall. I cannot attach anything directly to the window wall so I am going to run an aluminium box beam be... | {
"domain": "engineering.stackexchange",
"id": 1386,
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"openwebmath_perplexity": null,
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"tags": "mechanical-engineering, building-design, construction-management",
"url": nul... |
ros, moveit, ikfast, pluginlib
Title: pluginlib/class_loader does not load the correct class
Hi all,
For background, I'm trying to create two IKFast plugins for MoveIt! The problem I have is that MoveIt! only loads and uses one of the plugins. (I have confirmed this with print statements and have followed the trail a... | {
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"tags": "ros, moveit, ikfast, pluginlib",
"url": null
} |
kinect, cv-bridge, openni-launch
Title: How to store the depth data from kinect(/camera/depth_registrered/image_raw) as gray scale image?
I want to get the depth data from kinect by receiving sensor_msgs/Image from topic /camera/depth_registrered/image_raw(reference), I use cv_bridge
to store the data to a gray scal... | {
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"tags": "kinect, cv-bridge, openni-launch",
"url": null
} |
java, datetime, i18n
if (!userCanJoinAndLeave) {
format = getText(locale, "date period none");
} else if (startDate == null && endDate == null) {
format = getText(locale, "date period continuous");
} else if (startDate == null) {
format = getText(locale, "date period closed end");
}... | {
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"tags": "java, datetime, i18n",
"url": null
} |
20.2 - Conditional Distributions for Continuous Random Variables
20.2 - Conditional Distributions for Continuous Random Variables
Thus far, all of our definitions and examples concerned discrete random variables, but the definitions and examples can be easily modified for continuous random variables. That's what we'l... | {
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c#, object-oriented, game, interview-questions, console
instead write it like this
private bool BonusPoints()
{
for (int i = 0; i < this.Letters.Count(); i++)
{
if (i != 0 && Letters[i - 1] == Letters[i])
return true;
}
return false;
}
Your neste... | {
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-
Excellent answer. The point is that we often want uniqueness of $q$ and $r$, which is guaranteed by requiring $0\leq r < d$. Without this condition, there are $infinitely$ many possible "remainders". – ChocolateAndCheese May 19 '14 at 19:57
@Chocolate: And it's worth noting that other normalizations are possible: som... | {
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"openwebmath_score": 0.8304064869880676,
... |
quantum-mechanics, operators, time-evolution
I see problems arising, since I now can't in general make statements on the time evolution of functions $\hat{f}(\hat{x}, \hat{V})$, like for example the lagrangian $\hat{L}(\hat{x}, \hat{V}, t)$. Since the time evolution of $\hat{V}$ isn't given by the Heisenberg equation,... | {
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"tags": "quantum-mechanics, operators, time-evolution",
"url": null
} |
quantum-mechanics, atomic-physics, orbital-motion, physical-chemistry, elements
2 &\hskip1cm (2,0) &\hskip1cm 1 \\
3 &\hskip1cm (2,1) &\hskip1cm 0 &\hskip1cm \text{neon}\\
3 &\hskip1cm (3,0) &\hskip1cm 2 \\
4 &\hskip1cm (3,1) &\hskip1cm 1 &\hskip1cm \text{argon} \\
4 &\hskip1cm (4,0) &\hskip1cm 3 \\
5 &\hskip1cm (3,... | {
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"tags": "quantum-mechanics, atomic-physics, orbital-motion, physical-chemistry, elements",
... |
observational-astronomy, data-analysis, image-processing, trans-neptunian-object, post-processing
Title: Computationally intensive technique to search for TNO's within the noise of historical photographic data? I remember reading recently about a technique to search through lots of old survey images to try to identify... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "observational-astronomy, data-analysis, image-processing, trans-neptunian-object,... |
$\theta$ $0$ $\dfrac{\pi}{2}$ $\pi$ $\dfrac{3\pi}{2}$ $2\pi$ $r$ $\hphantom{000}$ $\hphantom{000}$ $\hphantom{000}$ $\hphantom{000}$ $\hphantom{000}$
1. $r=2+\sin \theta$
2. $r=2-\sin \theta$
3. $r=1+2\sin \theta$
4. $r=1-2\sin \theta$
###### 15
1. Graph the following roses and compare. How is the number of petals rela... | {
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"openwebmath_score": 0.7893000841140747,
"tag... |
c#, binary-search
if(count > sqrtLen + 2 && sqrtLen > 7) // some how it can fail on small numbers
The actual loop iteration limit should be exactly \$\lceil log_2(n+1) \rceil\$. Your code is expecting the iteration limit to be \$\lceil\sqrt n\rceil\$, but for small values of \$n\$, this limit is too low.
Worst case
... | {
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"tags": "c#, binary-search",
"url": null
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From the figure below, it is clear that if we divide the parallelogram into two triangles, and , and are their altitudes because they are perpendicular to . This value, known as Pythagoras’ constant , was the first number proven to be irrational . Diagonals Diagonals are equal and bisect at 900 Diagonals are equal and ... | {
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"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9511422158380862,
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"openwebmath_perplexity": 753.6471060615668,
"openwebmath_score": 0.695567131042... |
Then a product of any given sequence $a_1,\dots,a_n$ is necessarily of the form $$c_k:=(a_1\cdots a_k)(a_{k+1}\cdots a_n)$$ for some $k=2,\dots,n-1$, and we only need to check $$c_p=c_q\quad\forall\quad1 < p < q < n,$$ which we do as follows: $$\begin{matrix} &(a_1\cdots a_p)&(a_{p+1}\cdots a_q& a_{q+1}\cdots a_n)\\ \\... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.980580654938817,
"lm_q1q2_score": 0.8084514136237728,
"lm_q2_score": 0.8244619242200081,
"openwebmath_perplexity": 506.83361432083024,
"openwebmath_score": 0.9600741267204285,
"tag... |
You could also see what it takes to get the linear term or the constant term to match, but you will get the same answer. In other words, if you require that
$$k(x-r)(x-s)$$ and $$ax^2+bx+c$$ are the same expression for all $x$ (where $a,b,c, r,s$ are known and $k$ is to be determined), then equating coefficients on bo... | {
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"id": null,
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9674102514755852,
"lm_q1q2_score": 0.8103221413299246,
"lm_q2_score": 0.8376199653600372,
"openwebmath_perplexity": 127.82289670427629,
"openwebmath_score": 0.878781259059906,
"tag... |
quantum-mechanics, quantum-field-theory, atomic-physics
Title: Spread of the energy levels and sharp energy eigenvalues of the Schrodinger equation of the H-atom Solving the Schroedinger equation for the H-atom (or any other system, say a particle in a box, or harmonic oscillator or anything), we obtain the energy eig... | {
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"id": 30676,
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"tags": "quantum-mechanics, quantum-field-theory, atomic-physics",
"url": null
} |
estimated coefficient on x Partial autocorrelation plots (Box and Jenkins, Chapter 3. Node 2 of 28. D) Estimate an ARIMA(1,1,1) model for reference purposes. Lesson 7: Estimation of Autocorrelation and Partial Autocorrelation Function Umberto Triacca Dipartimento di Ingegneria e Scienze dell’Informazione e Matematica Un... | {
"domain": "chaosventures.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.981735721648143,
"lm_q1q2_score": 0.8071724351068768,
"lm_q2_score": 0.8221891261650248,
"openwebmath_perplexity": 1254.9740245179125,
"openwebmath_score": 0.8607275485992432,
"tag... |
$4)\rightarrow 5)$ Here we need only perfect normality of $X$, in the sense only that each open set is a countable union of closed sets, or equivalently that each closed set is a $G_\delta$. Let $A$ be discrete, then I claim that $A$ is open in $\overline{A}$.
Proof of claim (needs only that singletons are closed): le... | {
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"openwebmath_perplexity": 115.8012615297093,
"openwebmath_score": 0.9710450768470764,
"tags... |
python, datetime
Example for years as biggest different time unit:
create_intervals("2021-10-22", "2023-03-02")
# Outputs intervals for each year:
# [("2021-10-22", "2021-12-31"),
# ("2022-01-01", "2022-12-31"),
# ("2023-01-01", "2023-03-02")]
Example for days as biggest different time unit:
create_intervals("2021-... | {
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roslaunch, xacro
Any help would be greatly appreciated!
Cheers,
Daniel
Originally posted by DanielEckert on ROS Answers with karma: 23 on 2015-04-15
Post score: 2
Hi Daniel, I don't know if you've already solved this issue, but this is being caused by some comments in the xacro files which have the middle dot. A sol... | {
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reference-request, big-list, parameterized-complexity, kernelization
Title: Major open problems on polynomial kernel (non) existence We are not able to settle the (non-)existence of a polynomial kernel for a parameterized combinatorial NP-complete problem (we also tried to apply some recent lower bound techniques to p... | {
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"openwebmath_score": null,
"tags": "reference-request, big-list, parameterized-complexity, kernelization",
"url": nu... |
quantum-mechanics, homework-and-exercises, angular-momentum, operators
Title: Calculate the commutator between the operator $S_z$ and the operator $S_x$ using the Dirac notation Calculate the commutator between the operator $S_z$ and the operator $S_x$ using the Dirac notation.
In standard matrix notation I proved the... | {
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"tags": "quantum-mechanics, homework-and-exercises, angular-momentum, operators",
"url": ... |
ros, build, rosmake, services, messages
Title: Building only ROS messages or services
Is there a way to only build ROS message or services without building the entire package? I sometimes want to separate the building of the entire package and just the messages to more concisely determine if I have an issue.
Thanks!... | {
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"openwebmath_score": null,
"tags": "ros, build, rosmake, services, messages",
"url": null
} |
quantum-mechanics, quantum-information, quantum-spin, wavefunction-collapse, foundations
Title: Does collapse in different basis change probabilities differently? Consider two quantum systems, with two associated Hilbert spaces $H_1, H_2$ and corresponding algebra of observables. Consider an entangled joint state of t... | {
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"id": 95545,
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"tags": "quantum-mechanics, quantum-information, quantum-spin, wavefunction-collapse, found... |
ds.algorithms, ds.data-structures
Title: Fast Algorithm to Check if a Set of Sets forms an Anti-chain Given a set $S$ of sets, what is the fastest algorithm to check if elements of $S$ form an anti-chain with respect to subset ordering? That is, how can I quickly decide if there exists two sets $A$ and $B$ in $S$ such... | {
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"id": 3755,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ds.algorithms, ds.data-structures",
"url": null
} |
classification, multiclass-classification
Title: Non-mutal exclusive classification task examples I am reading the excellent Hands-on Machine Learning with Scikit-Learn and TensorFlow and in chapter 10, the author says:
"For the output layer, the softmax activation function is generally a
good choice for classifica... | {
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"tags": "classification, multiclass-classification",
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implies that
8/2 = 0 + 3 + 2 / 2.
I can't find a way to rectify this problem, so could you please help me out in doing so?
8. Jul 3, 2014
### verty
The problem was that you said that the coefficients must be 0 or 1 for it to work out, but that isn't true. But IF the coefficients are 0 or 1 only, then it is unique.... | {
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"lm_q1q2_score": 0.8314603071562796,
"lm_q2_score": 0.8519528000888386,
"openwebmath_perplexity": 440.49617218132755,
"openwebmath_score": 0.8116016387939453,
"ta... |
MATH 6644. The 2D Poisson equation is solved in an iterative manner (number of iterations is to be specified) on a square 2x2 domain using the standard 5-point stencil. The Two-Dimensional Poisson Equation in Cylindrical Symmetry The 2D PE in cylindrical coordinates with imposed rotational symmetry about the z axis may... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9850429156022934,
"lm_q1q2_score": 0.816540306848927,
"lm_q2_score": 0.8289388146603365,
"openwebmath_perplexity": 582.1518133241208,
"openwebmath_score": 0.8025301098823547,
"tags": nu... |
java, multithreading, datetime, swing, timer
}
A very bad sign - this indicates that you don't understand how cancellation and shutdown work. InterruptedException are an important part of communication, and should not be dismissed without comment. (You might reasonably dismiss InterruptedExceptions with comment - n... | {
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"tags": "java, multithreading, datetime, swing, timer",
"url": null
} |
formal-languages, regular-languages, pumping-lemma
Choose the string $a^{pq}b^p\in L_q$ and write $a^{pq}b^p=xyz$ as above. Then, as you noted, we may say $xy=a^k$ without loss of generality (the case where $xy=b^k$ will be handled in the same way as below and the case where $xy=a^ib^j$ will produce an immediate contr... | {
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"tags": "formal-languages, regular-languages, pumping-lemma",
"url": null
} |
# Free GRE Practice Questions with Solutions Sample 2
Solutions and detailed explanations to questions and problems similar to the questions in the GRE test. sample 2
## Solution to Question 1
w is the mean of a, b, c and d is written as
w = (a + b + c + d) / 4
w is the average W of m(a + k), m(b + k), m(c + k) and ... | {
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"lm_q1_score": 0.9924227573874893,
"lm_q1q2_score": 0.8333711016594356,
"lm_q2_score": 0.8397339696776499,
"openwebmath_perplexity": 1134.3170525033681,
"openwebmath_score": 0.6669265031814575,
"tags... |
ds.algorithms, graph-theory, graph-algorithms, matching
Title: Matching on bipartite graph - multiple edges I have a weighted bipartite graph consisting of two sets $S$ and $P$. ($|S| > |P|$).
I need to find a matching so that every node $s$ in $S$ matches a node of $P$. But a node $p$ in $P$ can match multiple nodes ... | {
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"id": 1721,
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"tags": "ds.algorithms, graph-theory, graph-algorithms, matching",
"url": null
} |
algorithms, trees, graph-traversal
Title: Update labels of a tree depending on ancestors of nodes in linear time
You are given a tree $T=(V,E)$ along with a designated root node $r \in V$.The parent of any node $v \ne r$, denoted $p(v)$, is defined to be the node adjacent to $v$ in the path from $r$ to $v$. By conven... | {
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"id": 5710,
"lm_label": null,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "algorithms, trees, graph-traversal",
"url": null
} |
validation, posix, sh
So, in this bare example, the chains go up like this:
print_error__exit () print_error ();
print_error__exit () is_exit_code () is_integer ().
Despite I am quite confident, these examples work as they should, one never knows, a maybe different point of view would shed a different light on my p... | {
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"tags": "validation, posix, sh",
"url": null
} |
machine-learning, data-mining, classification, statistics, nlp
If the contestant landscape can change it would help to find a vector space embedding for them so you can use the previous embeddings as an initial guess and rank anyone, even hypothetical, given their vector representation. As the number of users increase... | {
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"id": 160,
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"tags": "machine-learning, data-mining, classification, statistics, nlp",
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} |
quantum-mechanics
Title: functional determinant and WKB approximation let be a Hamiltonian in one dimension, i would like to evaluate the functional determinant $ det(E-H) $ in onde dimension
i believe that $ det(E-H)= Cexp(iN(E)) $ here $ N(E)$ is the number of energy levels less than a given number 'E'
my steps
i ... | {
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"openwebmath_score": null,
"tags": "quantum-mechanics",
"url": null
} |
python, sqlite, websocket, tornado
from multiprocessing import Pool, cpu_count
import ntpath
import os
import subprocess
# pysqlite = sqlite3, but with more patches.
from pysqlite2 import connect
import sys
from tornado import ioloop, web, websocket
#########################
# Global Variables
#######################... | {
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"id": 27622,
"lm_label": null,
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"tags": "python, sqlite, websocket, tornado",
"url": null
} |
electromagnetism, measurements, experimental-physics, speed-of-light, home-experiment
1: sanduleak2 0.266ms pmtu 1500
....
3: pioneer.ens-cachan.fr 1.072ms
....
6: vl172-orsay-rtr-021.noc.renater.fr 28.747ms asymm 9... | {
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"id": 675,
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"lm_q1q2_score": null,
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"tags": "electromagnetism, measurements, experimental-physics, speed-of-light, home-experimen... |
Yes that was wrong to do since you missed a lot of sets for example $$(\{1,2,3\},\{2,3,4\})\in R$$
$R$ is indeed an equivalence relation (appeal to the definition) and any two members of an equivalence class have same number elements. There are $7$ possible cardinalities including $0$ and hence there are $7$ equivalen... | {
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"lm_q1_score": 0.9777138170582865,
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"lm_q2_score": 0.865224070413529,
"openwebmath_perplexity": 323.19112070406914,
"openwebmath_score": 0.82668137550354,
"tags"... |
Math4life stated his problem as:
I made an attempt at getting a solution to this maths problem and it seems Math4life got stuck on formula transposition
(sorry, the proper name for the process escapes me at this point.)
Basically Math4life wrote Rx=Vx+Wx and Ry=Vy+Wy.
(R=ground velocity, V=planes air velocity, W=Wind... | {
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"lm_q1_score": 0.9748211531789392,
"lm_q1q2_score": 0.8144470310910085,
"lm_q2_score": 0.8354835432479661,
"openwebmath_perplexity": 1950.832380849481,
"openwebmath_score": 0.545113742351532,
"tags... |
temperature, acoustics
Title: Weird sound coming from thermos flask I had a thermos flask that I had never used since I had bought it. Today, I decided to take it out and use it for storing hot water, so that I don't have to heat water every time I feel thirsty.
An interesting incident occurred. I heated water to near... | {
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"tags": "temperature, acoustics",
"url": null
} |
ros, teb-local-planner, 2dcostmap
Title: TEB_local_planner inflation_dist vs Costmap_2D Inflation layer
Hi everyone,
I can not understand the difference between the TEB_local_planner's inflation_dist parameter and the Inflation Layer in costmap2D (inflation_radius parameter ) and how I can configure these two paramet... | {
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"tags": "ros, teb-local-planner, 2dcostmap",
"url": null
} |
ros, turtlebot, turtlebot-arm, turtlebot-bringup
/use_sim_time
/robot_pose_ekf/sensor_timeout
/diagnostic_aggregator/analyzers/sensors/path
/robot_pose_ekf/imu_used
/turtlebot_node/odom_angular_scale_correction
/robot/name
/diagnostic_aggregator/analyzers/mode/timeout
/diagnostic_aggregator/analyzers/sensors/timeout
/... | {
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"id": 8008,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "ros, turtlebot, turtlebot-arm, turtlebot-bringup",
"url": null
} |
+0
# Inverse Functions Question
0
344
10
I do not fully understand how to complete these types of problems:
If $$f(x) = \frac {x^5 - 1} {3},$$ find $$f^-1 (-31 / 96)$$
Feb 21, 2018
#1
+18336
+1
First , let's find the inverse function f^-1
change x's to y's and y's (which is f(x) ) to x's then solve for... | {
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"openwebmath_perplexity": 1346.4494578554181,
"openwebmath_score": 0.7729485630989075,
"tags": nul... |
php, optimization
Title: PHP - Redirect based on OS optimization I'm new to PHP and I would like to redirect the visitors of my website based on their operating system.
Below is my solution. Is there anything that needs to be optimized?
<?php
// MOBILE
$android = strpos($_SERVER['HTTP_USER_AGENT'],"Android");... | {
"domain": "codereview.stackexchange",
"id": 3298,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "php, optimization",
"url": null
} |
angles are to! A triangle is 180 degrees ) sum of the angle is known a. That these do not have to be non-adjacent supplementary angles in a is... Personalised Online Classes to make your kid a Math Expert, and some of the angles are angles! Angles when put together, they make vertical angles 90. supplementary angles do... | {
"domain": "webreus.net",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9441768588653856,
"lm_q1q2_score": 0.8151943898917746,
"lm_q2_score": 0.8633916222765629,
"openwebmath_perplexity": 1455.7538422950142,
"openwebmath_score": 0.5941300392150879,
"tags... |
fft, sound, amplitude-modulation
Title: FFT of a AM modulated signal I am generating an AM modulated sinusoidal wave. The carrier frequency is set at $1000 \ \rm Hz$; the modulation frequency is set to $40 \ \rm Hz$ and $100 \%$ of the amplitude is modulated.
I generated 2 signals with 2 slightly different equations.
... | {
"domain": "dsp.stackexchange",
"id": 9502,
"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": "fft, sound, amplitude-modulation",
"url": null
} |
php, xml
OR $achxml6->Video && ($achxml6->Video != '')
OR $achxml7->Video && ($achxml7->Video != '')
OR $achxml8->Directory && ($achxml8->Directory != '')
OR $achxml9->Directory && ($achxml9->Directory != '')
OR $achxml1b->Video && ($achxml1b->Video != '')
OR $achxml2b->Video && ($achxml2b->Video != '')
OR $achxml3... | {
"domain": "codereview.stackexchange",
"id": 15822,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "php, xml",
"url": null
} |
Sum of the squares of the residuals E ( a, b ) = is the least . Least squares method, also called least squares approximation, in statistics, a method for estimating the true value of some quantity based on a consideration of errors in observations or measurements. This method is most widely used in time series analysi... | {
"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,
... |
c++, c++11, template-meta-programming, type-safety, assertions
#define LOG(fmt, ...) \
{ \
static_assert(checkFormat(fmt, ##__VA_ARGS__), "Format is incorrect"); \
boost::format f(fmt); \
add(f, ##__VA_ARGS__); \
std::cout << f.str() << std::endl; \
}
int main()
{
// char
... | {
"domain": "codereview.stackexchange",
"id": 12686,
"lm_label": null,
"lm_name": null,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "c++, c++11, template-meta-programming, type-safety, assertions",
"url": null
... |
python, numpy, python-2.x
Brute force is the first step in "Make it work; then make it fast". Since it's the bottleneck, you need to take the second step: exploit the structure of the problem. Here there's plenty of algebraic structure to exploit (as long as numerical stability isn't a major issue).
In particular, thi... | {
"domain": "codereview.stackexchange",
"id": 31863,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, numpy, python-2.x",
"url": null
} |
$$L(100) \pmod{20} = \color{red}7$$
The remainder when the 100th term of the sequence is divided by 20 is 7
May 23, 2021
edited by heureka May 23, 2021
edited by heureka May 23, 2021 | {
"domain": "0calc.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9888419710536894,
"lm_q1q2_score": 0.8282737735322752,
"lm_q2_score": 0.837619961306541,
"openwebmath_perplexity": 2313.4731672250714,
"openwebmath_score": 0.8775018453598022,
"tags": null... |
ros, stack, ros-hydro, setup.bash
Title: stacks in ROS hydro; roswtf missing /opt/ros/hydro/stacks
Observations:
roswtf gives me an error stating that Not all paths in ROS_PACKAGE_PATH point to an existing directory; the missing one is /opt/ros/hydro/stacks;
I believe that the /opt/ros/hydro/stacks item in ROS_PACKA... | {
"domain": "robotics.stackexchange",
"id": 16589,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros, stack, ros-hydro, setup.bash",
"url": null
} |
homework-and-exercises, quantum-field-theory, path-integral, integration
The way to go is to regularize first (which in essence defines your object of interest), and then manipulate it. You'll then see that some formal operations you use are justified, and some aren't.
If you use momentum cut-off regularization, in ge... | {
"domain": "physics.stackexchange",
"id": 31929,
"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": "homework-and-exercises, quantum-field-theory, path-integral, integration",
"url"... |
java, performance, beginner, algorithm, programming-challenge
Title: LeetCode 146: LRU Cache III I'm posting my Java code for LeetCode's LRU Cache. If you have time and would like to review, please do so. Thank you!
Problem
Design and implement a data structure for Least Recently Used (LRU) cache. It should support t... | {
"domain": "codereview.stackexchange",
"id": 38609,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, performance, beginner, algorithm, programming-challenge",
"url": null
} |
scala, serialization, quiz
case class Enviro(
pet: Pet,
settings: Settings
) {
def setPet(newPet: Pet): Enviro = copy(
pet = newPet
)
//Returns how long in seconds it's been since the last save
def getSecsElapsed: Long =
Time.getCurSecs - pet.lastTime
def ... | {
"domain": "codereview.stackexchange",
"id": 11455,
"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": "scala, serialization, quiz",
"url": null
} |
ros
Title: [rviz] Unable to create the rendering window
Hi all, I want to run the simulation
http://www.ros.org/wiki/urdf/Tutorials/Building%20a%20Visual%20Robot%20Model%20with%20URDF%20from%20Scratch
but as soon as i run command
roslaunch urdf_tutorial display.launch model:=01-myfirst.urdf
it gives me errors as list... | {
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"id": 10093,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros",
"url": null
} |
context-free, formal-grammars, normal-forms
Title: Converting context-free grammar to Chomsky/Greibach Normal Form Is it necessary to remove all lambda productions, unit productions and useless productions from a context free grammar(CFG) before converting to Chomsky Normal Form(CNF) or Greibach normal form (GNF). If ... | {
"domain": "cs.stackexchange",
"id": 7176,
"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": "context-free, formal-grammars, normal-forms",
"url": null
} |
quantum-mechanics, electromagnetism, nuclear-physics, electric-fields
Title: Why are atomic quadrupole moments calculated using nuclear spin? It's my understanding that electric quadrupoles interact with the gradient of an electric field, and I understand roughly how this works. I am trying to calculate the interactio... | {
"domain": "physics.stackexchange",
"id": 15352,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "quantum-mechanics, electromagnetism, nuclear-physics, electric-fields",
"url": n... |
c++, beginner, game, tic-tac-toe
Title: 4x4 tic tac toe I just started coding 10 days back. This is my first program using classes in C++. It is a two player 4x4 tic tac toe game. It works perfectly. If there are any improvements I can make, please let me know.
#include <iostream>
using namespace std;
class Board
{
... | {
"domain": "codereview.stackexchange",
"id": 29904,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c++, beginner, game, tic-tac-toe",
"url": null
} |
everyday-life, biophysics
Title: What's Optimal About Six Legs According to Physical Laws? In many respects the insects can be regarded as the most successful class of animals in evolutionary terms. And one of the most common features of insects is that they (mostly) all have six legs.
Not discounting other traits, is... | {
"domain": "physics.stackexchange",
"id": 17606,
"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": "everyday-life, biophysics",
"url": null
} |
homework-and-exercises, quantum-field-theory, supersymmetry, spinors
\end{align}
The second and third terms in (4.1) vanish. One ends up with
$$f_{abc}\bar{\epsilon}\gamma_{\mu}\left[(\psi^{a}\bar{\psi}^{b})(\gamma^{\mu}\psi^{c})\right]=f_{abc}\bar{\epsilon}\gamma_{\mu}\left[-\frac{1}{4}(\bar{\psi}^{a}\gamma^{\mu}\ps... | {
"domain": "physics.stackexchange",
"id": 59846,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "homework-and-exercises, quantum-field-theory, supersymmetry, spinors",
"url": nu... |
c++, game, console, hangman
std::string get_random_word(std::vector<std::string>& words);
void play();
std::vector<std::string> words = {"programming", "hangman", "games"};
// Credit for art - https://gist.github.com/chrishorton/8510732aa9a80a03c829b09f12e20d9c
std::string hangman_art[7] = {
" +---+\n"
" | ... | {
"domain": "codereview.stackexchange",
"id": 42181,
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"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c++, game, console, hangman",
"url": null
} |
newtonian-mechanics, forces, newtonian-gravity, acceleration, free-fall
Title: Why bodies with different masses reach gound at the same time in vacuum? According to Newton's Gravitation Equation $$F=G \dfrac{M\cdot m}{r^2}$$ force of gravity depends upon mass of both objects, and $$F=ma$$ means force is proportional t... | {
"domain": "physics.stackexchange",
"id": 59501,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "newtonian-mechanics, forces, newtonian-gravity, acceleration, free-fall",
"url":... |
classical-mechanics, lagrangian-formalism, coordinate-systems, constrained-dynamics
Non-holonomic constraints are basically just all other cases: when the constraints cannot be written as an equation between coordinates (but often as an inequality).
An example of a system with non-holonomic constraints is a particle t... | {
"domain": "physics.stackexchange",
"id": 49434,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "classical-mechanics, lagrangian-formalism, coordinate-systems, constrained-dynamic... |
ros-melodic
This is an exemplary launch file:
<?xml version="1.0"?>
<launch>
<!-- Start move_base (nav stack) node and load config files -->
<node pkg="move_base" type="move_base" respawn="false" name="move_base" output="screen">
<rosparam file="$(find your_pkg)/config/costmap_common_params.yaml" command=... | {
"domain": "robotics.stackexchange",
"id": 36206,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros-melodic",
"url": null
} |
the process will perform in the future the tendency of data to be around this mean/central.... Greater than Sx is also called mean or average of a process data set used! Class, we 're doing statistics distribution, np and sqrt ( npq ) are APPROXIMATIONS... The data is spread and used to study system variability a stati... | {
"domain": "westechlabs.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9766692339078751,
"lm_q1q2_score": 0.807423972492683,
"lm_q2_score": 0.8267117919359419,
"openwebmath_perplexity": 1218.032519921972,
"openwebmath_score": 0.9222977161407471,
"tags":... |
ros, rosjava-core, rosjava
Title: Rosjava building test fails
I recently upgraded to the gradle version of rosjava. When I build the test with #./gradlew test I got 16 errors. I checked the report and saw that the following errors occured:
MessageSerializationTest.testBool
MessageSerializationTest.testDuration
Messag... | {
"domain": "robotics.stackexchange",
"id": 9415,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros, rosjava-core, rosjava",
"url": null
} |
species-identification, entomology
Title: What is this black insect? I found it in my computer but I don't know what it is It appears to be a Boxelder bug, which are common in areas of North America with maples, ash, or other host trees:
(photo by Katja Schulz via Wikimedia Commons) | {
"domain": "biology.stackexchange",
"id": 9751,
"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": "species-identification, entomology",
"url": null
} |
Python book. Argument is zero remainder of a division problem. ” — freeCodeCamp Python ’ s no surprise: ) explanation Guido! Then applies the floor function to the result, JavaScript use truncation instead of floor soup. 176 - 182 = -6 4 = ( -2 × 4 + 3 ) % 4 3! Is divided by b, the result will be floored as well (.... ... | {
"domain": "gridserver.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9362850093037731,
"lm_q1q2_score": 0.815127160549173,
"lm_q2_score": 0.8705972566572504,
"openwebmath_perplexity": 1108.810899254381,
"openwebmath_score": 0.451065331697464,
"tags": n... |
more realistic we should also have a second differential equation that would give the population of the predators. To this point we’ve only looked at solving single differential equations. Learn differential equations for free—differential equations, separable equations, exact equations, integrating factors, and homoge... | {
"domain": "levonline.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9875683498785867,
"lm_q1q2_score": 0.8097007066515071,
"lm_q2_score": 0.8198933337131076,
"openwebmath_perplexity": 242.9284758202915,
"openwebmath_score": 0.5556364059448242,
"tags": ... |
That’s amazing!
The resulting function $\exp(z)$ obeys all the expected laws of exponents. And we can prove that the function when restricted to reals has an inverse for the entire real number line. So define a new function $\ln(x)$ which is the inverse of $\exp(x)$. Then we can prove that $\ln(x)$ obeys all of the la... | {
"domain": "mrchasemath.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9930961623374379,
"lm_q1q2_score": 0.8024884578704925,
"lm_q2_score": 0.8080672227971212,
"openwebmath_perplexity": 564.9091484545214,
"openwebmath_score": 0.6946636438369751,
"tags"... |
machine-learning, training
dot_products = torch.matmul(vecs, vecs.transpose(0, 1))
print(dot_products.triu(diagonal=1))
The output is this:
tensor(0.5543, grad_fn=<MaxBackward1>)
tensor([[ 0.7315, -0.5695, 0.3749],
[ 0.0595, 0.4699, -0.8807],
[-0.8440, 0.0857, 0.5294]], requires_grad=True)
tensor(... | {
"domain": "ai.stackexchange",
"id": 3806,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "machine-learning, training",
"url": null
} |
newtonian-mechanics, harmonic-oscillator, spring, elasticity
#:
$$\frac{d^2z}{dt^2}+\omega^2z-g=0$$
$$\frac{1}{\omega^2}z''+z-\frac{g}{\omega^2}=0$$
Call:
$$u=z-\frac{g}{\omega^2}$$
$$du=dz$$
$$d^2u=d^2z$$
$$\frac{1}{\omega^2}u''+u=0$$
$$u''+\omega^2u=0$$
$$u=A\sin(\omega t+\phi)$$
$$z(t)=A\sin(\omega t+\phi)+\frac{g}... | {
"domain": "physics.stackexchange",
"id": 32964,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "newtonian-mechanics, harmonic-oscillator, spring, elasticity",
"url": null
} |
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