text stringlengths 49 10.4k | source dict |
|---|---|
homework-and-exercises, conformal-field-theory, commutator
& = \mathcal{S}_{\mu \nu}\mathcal{O}(x)+\mathcal{O}(x)
e^{x\cdot P}M_{\mu \nu}e^{-x\cdot P}+
e^{x\cdot P}M_{\mu \nu}e^{-x\cdot P}\mathcal{O}(x)-\left[M_{\mu \nu},\mathcal{O}(x)\right].
\end{split}
I can now use the Hausdorff formula, but this gives me an infin... | {
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"tags": "homework-and-exercises, conformal-field-theory, commutator",
"url": null
} |
mechanical-engineering, vibration
Title: Interpretation of results in a spring mass dashpot system subjected to harmonic excitation force Consider a spring mass dashpot system subjected to a harmonic excitation force of
$$F(t)=F_0 sin(\omega t)$$
The response of a system assuming sufficient time has been passed and t... | {
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"tags": "mechanical-engineering, vibration",
"url": null
} |
python, serialization
Refactored format_array()
Your format_array() does the work but has the following issues related to doing it the Pythonic way:
Explicit if None ... else instead of ternary – You could use return "list" if array else "None", to simplify away the if else structure
Remove anti-pattern of list = [];... | {
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There is a concept of $$C\setminus B = \{x\in C$$ but where $$x \not \in B\}$$. As we know that $$x\not \in B$$ that if $$x\in C$$ then we must have $$x\in C\setminus B$$. But $$C\setminus B$$ certainly doesn't have to be empty!
So that doesn't follow at all!
But now we have proven both $$x ∈ C$$ and $$x \not \in C$$... | {
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python
Title: How to use Python with Gazebo
Hi,
I just installed Gazebo on Ubuntu. I want to set up a basic simulation where I can control robots as well as environment via Python. Via Google I found information on libgazebo.a, however from this I do not understand where to find the python files to include or what to... | {
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javascript, jquery, simon-says
// Generate random sequence for pads
generateSequence: function( length ) {
var seq = [];
for ( var i = 0; i < length; i++ ) {
seq.push( Math.floor( Math.random() * 4 ) + 1 ); // returns a random integer from 1 to 10]
}
... | {
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consider and to be two 1D Gaussian distributions with same mean. However, the Jensen-Shannon divergence between Gaussian distributions is not available in closed form. Here, we are inter-ested in the divergence measure between two Gaussian dis-tributions and the divergence measure between two GMMs. Also computes JS 74 ... | {
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"openwebmath_perplexity": 933.642810380257,
"openwebmath_score": 0.8982875347137451,
"tags": ... |
quantum-mechanics, hilbert-space, operators
Title: Exponential of a ladder operator justification Considering the ladder operators of quantum mechanics, specifically the creation operator,can we take its exponential? I was looking at this post: Annihilation operator in the exponent?
and in the answer it states that i... | {
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"tags": "quantum-mechanics, hilbert-space, operators",
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python, vcf, snp, gwas
./.:.:.:. 0/0:2:0:100 0/0:11:0:100 0/0:28:0:100 0/0:11:0:100 0/0:37:0:100 0/0:12:0:100 0/0:25:0:100 0/0:19:0:100 0/0:9:0:100 0/0:17:0:100 ./.:.:.:. 0/0:6:0:100 0/0:9:0:100 0/0:28:0:100 0/0:3:0:100 0/0:24:0:100 0/0:11:0:100 0/0:23:0:100 0/0:4:0:100 0/0:16:0:100 0/0:7:0:100 0/0:7:0:100 0/0:19:0:10... | {
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"tags": "python, vcf, snp, gwas",
"url": null
} |
sequence-alignment, k-mer, repeat-elements, sequence-homology
Title: Finding 2000 bp sequences that occur more than once in the genome I am looking for a software that can identify long sequences (1500-2000 bp) that occur more than once in my genome of interest. A k-mer counter like KMC could have worked, but KMC has ... | {
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"tags": "sequence-alignment, k-mer, repeat-elements, sequence-homology",
"url": nul... |
ros-melodic, rosbridge
404 Not Found [IP: 64.50.233.100 80]
E: Failed to fetch http://packages.ros.org/ros/ubuntu/pool/main/r/ros-melodic-rosbridge-library/ros-melodic-rosbridge-library_0.11.1-1bionic.20190508.025706_amd64.deb 404 Not Found [IP: 64.50.233.100 80]
E: Failed to fetch http://packages.ros.org/ros/ubunt... | {
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"tags": "ros-melodic, rosbridge",
"url": null
} |
standard-model, neutrinos, weak-interaction, chirality, helicity
This would imply that (massless) neutrinos and antineutrinos in the SM are both left-handed, since a right-chiral antineutrino is left-handed. There are lots of questions on this site about chirality versus helicity, but you can clear them all up by just... | {
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"tags": "standard-model, neutrinos, weak-interaction, chirality, helicity",
"url": null
} |
performance, sql, oracle, plsql
|* 75 | TABLE ACCESS FULL | USER_EDITIONING$ | 1 | 6 | 2 (0)| 00:00:01 | ... | {
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"tags": "performance, sql, oracle, plsql",
"url": null
} |
electromagnetism, forces, magnetic-fields
Title: Does the Lorentz force applied to a current carring wire by a magnetic field act in the negative or positive direction of the right hand rule? If I say that I am calculating the Lorentz force $F$ applied to a wire carrying a current $i$ at a point $P$ in a magnetic fiel... | {
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"tags": "electromagnetism, forces, magnetic-fields",
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} |
astrophysics, comets, radiation
Power Input
The next step is to find the total energy input per second to this comet, e.g., the power. You've basically already defined this part. The flux on this comet is defined as
$$F = \frac{L_\odot}{4\pi a^2}$$
The power input is simply the flux times the area of the comet.
$$P_{\... | {
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Added: Henry's and my answers, while the approaches are different, actually give the same result! To see why, let's do the general case with $N$ databases, $M$ of which contain the keyword, and us choosing $K$ databases. Let $X$ be the number of the $K$ databases chosen that contain the keyword. For $P(X = x)$, Henry's... | {
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"tags... |
electric-circuits, electric-current, electrical-resistance, voltage
Title: Current through two vertical ideal conductors Let's consider the circuit:
Do I understand correctly that current can't flow through these two vertical ideal conductors? (Voltage source and connecting conductors are assumed to be ideal (with ze... | {
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TAKING POLYNOMIALS FROM ONE DIE TO MANY
Given these earlier thoughts, I was naturally drawn to Steve Phelps “Probability, Polynomials, and CAS” session at the November 2014 OCTM annual meeting in Cleveland, OH. Among the ideas he shared was using polynomials to create the distribution function for the sum of two fair... | {
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"lm_q1q2_score": 0.8962662254973889,
"lm_q2_score": 0.9046505376715775,
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"tags": n... |
multipliers to solve optimization problems with one constraint. Euler-Lagrange Equation – Fundamental to the Calculus of Variations Proving the Shortest Distance Between Two Points – In Euclidean Space The Brachistochrone Problem – In an Inverse Square Field Some Other Applications Conclusion of Queen Dido’s Story. Thi... | {
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"lm_q1_score": 0.9854964173268185,
"lm_q1q2_score": 0.8190884918285406,
"lm_q2_score": 0.8311430436757313,
"openwebmath_perplexity": 548.9898073193627,
"openwebmath_score": 0.694037914276123,
"tags"... |
parity
Title: The meaning of parity violation? The parity operator is defined as the bases transformation:
$$\{\hat e_x,\hat e_y, \hat e_z\}\rightarrow \{-\hat e_x,-\hat e_y, -\hat e_z\}$$
thus we can perform a parity transformation in the real world by simply changing the direction our scales run on our meter sticks ... | {
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The solution from the teacher is:
This solution does not satisfy
$$a_G = -0.8 \cdot \alpha$$
My question is: "Is this last equation wrong?"
Point $$B$$ is the system's initial instantaneous center. So the acceleration of point $$A$$ is equal and opposite to the acceleration of $$G$$ at $$t=0$$. This is the trick to... | {
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"openwebmath_score": 0.9962862730026245,
"tag... |
statistical-mechanics, probability, ising-model
Title: Fitting an Ising Model with Probabilities Question
How to use the observations to fit an Ising model?
After self-studying for several days, my current guess is:
$\theta_{ii} = \log[P(X_{i} = 1)]$
$\theta_{ij} = \log[P(X_{i} = 1, X_{j}=1)]$
Or, is it: $\theta_{ij... | {
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Numerically then we have:
dinner = 1 + 5/8
douter = 5 + 1/4
r(b,t) = dinner/2 + b*t
rp(b,t) = b
integrand(b,t) = sqrt((r(b,t))^2 + rp(b,t)^2) # sqrt(r^2 + r'^2)
n(b) = (douter - dinner)/2/(2*pi*b)
b = find_zero(b -> quadgk(t->integrand(b,t), 0, n(b)*2*pi)[1] - 3700, (1/100000, 1/100))
0.0008419553488281331
This gi... | {
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"tags": ... |
Then, in any case $(a-b)^2=8$
• -1.This is a low grade method. – N.S.JOHN Apr 17 '16 at 10:42
$$a+b=2$$
$$\implies(a+b)^2=4$$
$$\implies a^2+b^2+2ab=4$$
$$\implies2ab=-2$$
Also,
$$(a-b)^2=a^2+b^2-2ab$$
$$6-(-2)=6+2=8$$(by substituting $a^2+b^2=6$ and $2ab=-2$) | {
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"tag... |
php, security, authentication, mysqli, logging
//(1.2.1) If the number of rows from the password pull is zero...
if(mysqli_stmt_num_rows($stmt) == 0) {
echo 'Bad monkey! User does not exist.<br/><br/>'; //Report the user doesn't exist
unset($_SESSION['a_user']); //Kills t... | {
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"tags": "php, security, authentication, mysqli, logging",
"url": null
} |
cosmology, nuclear-physics, big-bang, elements, nucleosynthesis
Title: If for heavier atoms to form, you need a lot of pressure, then why do we say that the early universe was too hot for atoms to form? I have read this question:
Over the next 380,000 years, the universe gradually cooled down enough for the sub-atomi... | {
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"tags": "cosmology, nuclear-physics, big-bang, elements, nucleosynthesis",
"url": null
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When you see, as $$f\to0$$, the following functions, it is often a good way to use Taylor series rather than L'Hospital rule.
• $$\log(1+f) = f+o(f)$$
• $$\sin f = f+o(f)$$
• $$\cos f = 1+ o(1)$$
• $$e^f = 1+o(1)$$
• $$\tan f = f+o(f)$$
• $$\arctan f = f+o(f)$$
(More terms of the series are sometimes necessary).
• W... | {
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statistical-mechanics, field-theory, ising-model, partition-function, lattice-model
Which implies:
$$\int_{\mathbb R^d}d^d \mathbf R \ R_i^2 K(\mathbf R)=-\frac{\partial^2}{\partial q_i^2} \int_{\mathbb R^d}d^d \mathbf R \ K(\mathbf R) \ e^{-i \mathbf q. \mathbf R}|_{\mathbf q=0}=-\frac{\partial^2}{\partial q_i^2}\til... | {
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"tags": "statistical-mechanics, field-theory, ising-model, partition-function, lattice-mode... |
homework-and-exercises, electric-circuits, electrical-resistance, error-analysis
Title: How uncertainties affect values If I calculate the equivalent resistance of a circuit, for example:
$$1/R_{eq} = 1/R_1 + 1/R_2 + 1/R_3 = 1/1472 + 1/3260 + 1/5580 \Rightarrow R_{eq} = 858.22\,\Omega$$
And then calculate its uncertai... | {
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"tags": "homework-and-exercises, electric-circuits, electrical-resistance, error-analysis",
... |
robotic-arm, kinematics, forward-kinematics, jacobian, singularity
$$
\frac{\dot{q_1}}{\dot{q_2}} = - \frac{l_2}{l_1+l_2},
$$
which in turn can be summarized by $\mathcal{N} \left( \mathbf{J} \right)$. | {
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"tags": "robotic-arm, kinematics, forward-kinematics, jacobian, singularity",
"url": null... |
physical-chemistry, kinetic-theory-of-gases
$$\exp{(-\frac {E}{kT})}=\exp{(-\frac {mv^2}{2kT})}$$
in the integral over the 3D space of velocity components $v_\mathrm{x}$, $v_\mathrm{y}$, $v_\mathrm{y}$, using the radial spherical coordinate $v \equiv r$, where $v=\sqrt{v_\mathrm{x}^2+v_\mathrm{y}^2+
v_\mathrm{z}^2}$:
... | {
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"tags": "physical-chemistry, kinetic-theory-of-gases",
"url": null
} |
c++, performance, c++14
bool game::try_add_piece(unsigned int pieceIndex, unsigned int x, unsigned int y) noexcept {
if (current_pieces[pieceIndex] == pieces[0])
return false;
bool result = false;
if ((result = try_add(current_pieces[pieceIndex], x, y)))
remove_piece(pieceIndex);
retur... | {
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"tags": "c++, performance, c++14",
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} |
$$\begin{eqnarray} P &=& P_1+P_3+P_5+... \\ \\ &=&p+q^2p+q^4p+q^6p+....\\ \\ &=& {p\over 1-q^2}\\ \\& =& {1\over 1+q} \end{eqnarray}$$
where $$p$$ is probability that head comes in one toss and $$q=1-p$$.
So if the coin is fair, then $$p=1/2=q$$, so $$P= {2\over 3}$$
Let $$p$$ be the probability that the first playe... | {
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a polar grid: The r and θ coordinates of a point P measure respectively the distance from P to the origin O and the angle between the line OP and the polar axis. The solution is such that the stress components are in the form of a Fourier series in θ {\displaystyle \theta \,}. Polar Coordinates. Find the distance betwe... | {
"domain": "gesuitialquirinale.it",
"id": null,
"lm_label": "1. Yes\n2. Yes",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9843363485313248,
"lm_q1q2_score": 0.8807737999101936,
"lm_q2_score": 0.8947894703109853,
"openwebmath_perplexity": 584.2148996203689,
"openwebmath_score": 0.9085190296173096,
... |
java
private static void countTextFile() {
int countingWords = 0;
try(Scanner sc1 = new Scanner(new BufferedReader(new FileReader("xanadu.txt")))){
while(sc1.hasNext()){
sc1.next();
countingWords++;
}
} catch (FileNotFoundException e){
... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java",
"url": null
} |
arduino, serial
Title: Will RoS work over I2C , without serial? ie; arduino to arduino communication without a PC?
Will RoS work over I2C , without serial? ie; arduino to arduino communication without a PC?
I have seen examples and tutorials on how RoS can be used in arduino. But all of them explains
how to get an ar... | {
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"tags": "arduino, serial",
"url": null
} |
waves, string
Regarding the vibrating drum head: Each tiny portion of the moving drum head (which has springiness and mass!) is connected to a little slab of air right next to it, and each little slab of air is then connected to another little slab of air right next to it- just like the rope example, except now we are... | {
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"tags": "waves, string",
"url": null
} |
The $2$'s comes from this fact: for $i\neq j$ we have two choices from which bracket we take $\frac{x^i}{i!}$ (and then $\frac{x^j}{j!}$ from the other). But for the last element - since we assume, that $n$ is even we have to take $\cfrac{x^{n-\frac{n}{2}}}{(n-\frac{n}{2})!}$ from both.
For $n= 2k+1, k \in \mathbb{N}$... | {
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"openwebmath_score": 0.9965776205062866,
"tags... |
c++, multithreading
void launch() { (*myobj.*fpt)(myarg);}
private:
T* myobj;
void* myarg;
void * (T::*fpt) (void *); //Member function pointer
};
template <class T>
void * LaunchMemberFunction(void * obj)
{
Launcher<T> * l = reinterpret_cast<Launcher<T>*>(obj);
l->launch();
}
int main()
{
p... | {
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"openwebmath_score": null,
"tags": "c++, multithreading",
"url": null
} |
quantum-mechanics, quantum-entanglement
Currently I'm pretty confused so the following might be total nonsense:
As far as I understood an entangled state is always in some kind of superposition, e.g.
$$|\Phi\rangle = \frac{1}{\sqrt 2}(|1\rangle_A|1\rangle_B + |0\rangle_A|0\rangle_B)$$
because otherwise it would be a ... | {
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"openwebmath_score": null,
"tags": "quantum-mechanics, quantum-entanglement",
"url": null
} |
c#, formatting
Title: IFormatProvider for double to engineering notation A c# format provider that formats a double into a string using engineering notation rules.
If the value is outside of the defined notation symbols it will default to using scientific notation.
I wrote this code to better handle a mess of case sta... | {
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"openwebmath_score": null,
"tags": "c#, formatting",
"url": null
} |
bubbles, liquid-state
Title: Best way to pour a too-carbonated beer? I hope people have fun with this.
But, for those who aren't interested in fun, here's a Tl/Dr: What is the fastest way to disperse foam from an overcabonated drink being poured. For example, is it better to pour until the foam crests over the top, m... | {
"domain": "physics.stackexchange",
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "bubbles, liquid-state",
"url": null
} |
fft, frequency-spectrum, frequency, sampling, zero-padding
Title: Why is the magnitude of the second component of my FFT spectrum always the largest one? While working with FFT, I have a strange case with a current experimental setup. I am working with beat frequencies (intermediate frequency output) and using a stand... | {
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"tags": "fft, frequency-spectrum, frequency, sampling, zero-padding",
"url": null
} |
python, python-3.x, strings, random, generator
#complete probabilities
unassigned_prob = (1 - sum(datatag.get('prob', 0) for datatag in items_c.values())) / [datatag.get('prob') for datatag in items_c.values()].count(None)
for item, datatag in items_c.items():
if not datatag.get('prob'):
... | {
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"openwebmath_score": null,
"tags": "python, python-3.x, strings, random, generator",
"url": null
} |
quantum-field-theory, hilbert-space
Title: Do we know any example of rigorously treated bound states in QFT? I have a few questions about bound states in QFT and rigorous ways to picture them. If I had to summarise in one sentence the main question it would be something like:
Q: Do we know any example of a QFT (even a... | {
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"tags": "quantum-field-theory, hilbert-space",
"url": null
} |
c++, integer
if (rhs == 1u) return;
if (lhs == 1u) { lhs = rhs; return; }
// note: long multiplication relies on:
// double_block_t holding (max<block_t>() * max<block_t>() + 2 * max<block_t>())
// which is exactly the case if digits<double_block_t>() ==... | {
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"tags": "c++, integer",
"url": null
} |
Just need the clarification on what this is saying
Intern
Joined: 19 Jul 2018
Posts: 4
Re: Math: Absolute value (Modulus) [#permalink]
### Show Tags
03 Sep 2018, 20:55
In the following example of 3-steps approach for complex problems
Example #1
Q.: |x+3|−|4−x|=|8+x||x+3|−|4−x|=|8+x|. How many solutions does the equ... | {
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"openwebmath_score": 0.8026369214057922,
"tags": ... |
___________________________________
As a result of the peculiar fact that $C_p(L_\tau) \cong C_p(L_\tau) \times C_p(L_\tau)$, it can be concluded that $C_p(L_\tau)$, though normal, is not hereditarily normal. This follows from an application of Katetov’s theorem. The theorem states that if $Y_1 \times Y_2$ is heredita... | {
"domain": "wordpress.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9843363545048391,
"lm_q1q2_score": 0.8265806744663752,
"lm_q2_score": 0.83973396967765,
"openwebmath_perplexity": 90.51940825272462,
"openwebmath_score": 0.9695743918418884,
"tags": nu... |
javascript, converting
changeBgColor: function(color) {
document.body.style.backgroundColor = color;
}
};
inputRgb.addEventListener("input", converter.toHex, false);
inputHex.addEventListener("input", converter.toRgb, false);
}());
</script>
</body>
</h... | {
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"openwebmath_score": null,
"tags": "javascript, converting",
"url": null
} |
others, Clusterization according to cosine similarity tells us that the ratio of features, width and length, is generally closer between teal and yellow flowers than between yellow and any others. In this tutorial, weâll study two important measures of distance between points in vector spaces: the Euclidean distance ... | {
"domain": "excitube.com",
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"lm_q1_score": 0.9777138157595306,
"lm_q1q2_score": 0.840505118750633,
"lm_q2_score": 0.8596637433190939,
"openwebmath_perplexity": 544.3275035349112,
"openwebmath_score": 0.7587133049964905,
"tags": nu... |
# The number of the partition of the set $A$ into $k$ bounded blocks.
Let $A=\{1,2,\cdots,n\}$ be a set. We want to partitions of this set into $k$ non-empty unlabelled subsets $B_1,B_2,\cdots ,B_k$ such that cardinality of each $B_i$ between positive integers $a$ and $b$, that means $a\leq |B_i|\leq b$.
Let $D_{a,b}... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9763105321470076,
"lm_q1q2_score": 0.8114537133865903,
"lm_q2_score": 0.8311430499496096,
"openwebmath_perplexity": 1516.5595411457346,
"openwebmath_score": 0.5761484503746033,
"ta... |
c++, beginner, programming-challenge, c++11
// Count up the total
if(isValid){
for(int b = 0; b < input.length(); b++){
if ((input[b] - '0')){
if(b < oneHandLength) total += 10;
else if(b == oneHandLength) total += 50;
else if(b == oneHandLength ... | {
"domain": "codereview.stackexchange",
"id": 21680,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c++, beginner, programming-challenge, c++11",
"url": null
} |
javascript, require.js
grid.bindScroll('#hscroll', '#vscroll');
grid.bindArrow('#tab');
}
);
In summary, I am creating a re-usable JavaScript control that could handle events on an HTML table. Is what I am doing okay or is there a better way? First, unless the work module is about fo... | {
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"openwebmath_score": null,
"tags": "javascript, require.js",
"url": null
} |
reinforcement-learning, reference-request, definitions, markov-decision-process
the transition model $\color{blue}{P}$, which describes the dynamics of the environment,
$\color{red}{\max}$, which is related to the assumption that the optimal agent acts greedily with respect to the optimal value function (keep in mind... | {
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"id": 3145,
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"tags": "reinforcement-learning, reference-request, definitions, markov-decision-process",
"url... |
electromagnetism, electromagnetic-radiation, magnetic-fields
The answer will be not complete without electromagnetic radiation. It was observed that a periodically changed electric current (in an antenna rod) lead not only to a induced time varying magnetic field but - if the power of the antenna generator is high eno... | {
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"openwebmath_score": null,
"tags": "electromagnetism, electromagnetic-radiation, magnetic-fields",
"url": null
} |
complexity-theory, np-complete, reductions
Title: A polynomial reduction from any NP-complete problem to bounded PCP Text books everywhere assume that the Bounded Post Correspondence Problem is NP-complete (no more than $N$ indexes allowed with repetitions). However, nowhere is one shown a simple (as in, something tha... | {
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"id": 368,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "complexity-theory, np-complete, reductions",
"url": null
} |
lagrangian-formalism, field-theory, noethers-theorem, klein-gordon-equation, scale-invariance
$$
where in the third identity I used the equations of motion $\partial^{2}\phi=-m^{2}\phi$. The most general solution to Klein-Gordon's equation is given by
$$
\phi(x)=\int\frac{d^{3}k}{(2\pi)^{3}}\ \Big\{e^{-ik_{\mu}x^{\mu}... | {
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"id": 32518,
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"tags": "lagrangian-formalism, field-theory, noethers-theorem, klein-gordon-equation, scale... |
acid-base, reaction-mechanism
Title: What happens to concrete if you add lye to the mix? What happens if you’re mixing concrete and you add some lye to it? Does it make it weaker, stronger or does nothing at all? I’m guessing concrete is basic so adding lye to it might expedite the reaction, causing it harden faster? ... | {
"domain": "chemistry.stackexchange",
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"tags": "acid-base, reaction-mechanism",
"url": null
} |
electromagnetism, potential, gauge-theory, maxwell-equations, gauge-invariance
$E + \frac{\partial A }{\partial t} = -\nabla V$
$E = -\nabla V -\frac{\partial A }{\partial t} $
From here we can substitute the definitions of E into the other maxwell equations
This will obtain 2 equations that interlink A and V in ... | {
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"tags": "electromagnetism, potential, gauge-theory, maxwell-equations, gauge-invariance",
... |
waves, acoustics, velocity
with the help of graph i saw that with increase in time period the wavelength increases and when visualized the particles seems to slow down but still travel the same distance
so similarly how can i understand wave velocity with the help of graph ? A wave is a signal passing through a medium... | {
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"tags": "waves, acoustics, velocity",
"url": null
} |
java, algorithm, strings
I was looking for a Aho-Corasick implementation for a private project and since I found yours to be best comprehensible, I've adapted your code for my needs: For example I needed to match byte arrays instead of Strings, so I changed it to byte[] matching (still allows matching Strings by using... | {
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"tags": "java, algorithm, strings",
"url": null
} |
navigation, plugin, ros-hydro, costmap
Originally posted by rosuke on ROS Answers with karma: 11 on 2014-02-11
Post score: 1
Original comments
Comment by Tirjen on 2014-02-11:
What do you mean by "can't avoid obstacles"? Are both global and local costmaps ok on rviz?
Comment by rosuke on 2014-02-12:
Dear Tirjin
Thank... | {
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"tags": "navigation, plugin, ros-hydro, costmap",
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quantum-mechanics, hilbert-space, wavefunction
and $\Omega_2$ on $\Bbb V_{1\otimes2}$, $$\psi(\bar x_1,x_2)=\langle\bar x_1x_2|\psi\rangle=\sum_{\omega_1}\sum_{\omega_2}\langle\omega_1\omega_2|\psi\rangle\langle\bar x_1x_2|\omega_1\omega_2\rangle=\sum_{\omega_1}\sum_{\omega_2}\langle\omega_1\omega_2|\psi\rangle\psi_{\... | {
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"tags": "quantum-mechanics, hilbert-space, wavefunction",
"url": null
} |
quantum-mechanics, solid-state-physics, quantum-hall-effect
At the jump, Landau levels are not full. More final states are available for the electrons, so they can scatter in random directions. This introduces dissipation in the "usual" ohmic way. Hence why $R_x \neq 0$ at the jumps. | {
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c#, object-oriented, constructor
The first form shaves off an unnecessary bit of interface and is slightly more direct/efficient, but the second form helps prevent having to put things like (int)NumericUpDownCriminalHistoryNumber.Value (something trivial) in two different places, and it also looks a little bit neater.... | {
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"tags": "c#, object-oriented, constructor",
"url": null
} |
ros, usb, permissions, hokuyo-node
This also adds a symlink as /dev/lidar_hokuyo so that you do not need to configure your port if it changes.
After you add this rule run:
sudo udevadm control --reload-rules && sudo service udev restart && sudo udevadm trigger
for changes to take effect.
Originally posted by Akif wi... | {
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"tags": "ros, usb, permissions, hokuyo-node",
"url": null
} |
ros, gazebo
Title: Gazebo throws "Segmentation fault" after installation from binaries System info:
OS: Ubuntu 22.04.1 LTS
CPU: AMD Ryzen 7 4800H with Radeon Graphics
GPU: NVIDIA GeForce GTX 1650
NVIDIA driver: 520 (proprietary) | {
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"tags": "ros, gazebo",
"url": null
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# Continuous with compact support implies uniform continuity
This might be a duplicate but I tried googling the MSE site and could not find a satisfactory answer.
Let $(X, d)$ be a metric space and $f$ be a real valued continuous function on $X$. Suppose $f$ has a compact support. Does this imply the uniform continui... | {
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"openwebmath_score": 0.9840984344482422,
"tag... |
# The dual space of $c$ is $\ell^1$
Here is what I know/proved so far:
Let $$c_0\subset\ell^\infty$$ be the collection of all sequences that converge to zero. Prove that the dual space $$c_0^*=\ell^1$$. | {
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"openwebmath_score": 0.9919639229774475,
"tags"... |
neural-network, computer-vision, convolutional-neural-network, beginner
For getting a in-depth understanding you can refer to the following resources:
http://neuralnetworksanddeeplearning.com/chap6.html
http://cs231n.github.io/convolutional-networks/ | {
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"tags": "neural-network, computer-vision, convolutional-neural-network, beginner",
"u... |
3^{\tfrac{1}{4}}+\dfrac{\sqrt{2}}{2}\cdot 3^{\tfrac{3}{4}}\right)+\dfrac{1}{2^{\tfrac{5}{2}}3^{\tfrac{1}{4}}}\log\left(1+\sqrt{3}-\dfrac{\sqrt{2}}{2}3^{\tfrac{1}{4}}-\dfrac{\sqrt{2}}{2}3^{\tfrac{3}{4}}\right) \end{align} | {
"domain": "brilliant.org",
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"lm_q1_score": 0.9518632302488963,
"lm_q1q2_score": 0.8383983443917405,
"lm_q2_score": 0.8807970701552505,
"openwebmath_perplexity": 4471.129323603746,
"openwebmath_score": 0.9999955892562866,
"tags": ... |
series. Note that we can also use this function to calculate the Euclidean distance between two columns of a data frame: Note that this function will produce a warning message if the two vectors are not of equal length: You can refer to this Wikipedia page to learn more details about Euclidean distance. The Euclidean d... | {
"domain": "alathailand.com",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9441768620069626,
"lm_q1q2_score": 0.8252834886612207,
"lm_q2_score": 0.874077222043951,
"openwebmath_perplexity": 996.2104000000988,
"openwebmath_score": 0.7712957859039307,
"ta... |
& \frac 12 x & + 5 \\ \hline \end{array}$$ The ask what you have to multiply $4x^2$ by to get $4x^2$, then multiply, then subtract..... | {
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"id": null,
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"lm_q1_score": 0.9854964232904171,
"lm_q1q2_score": 0.8080019586964955,
"lm_q2_score": 0.8198933447152497,
"openwebmath_perplexity": 212.54161495312354,
"openwebmath_score": 0.8864855170249939,
"ta... |
modulation, channelcoding
Title: Selecting convolutional code for a M-QAM transmitter I am tasked in an assignement to select an appropriate rate 1/2 convolution code for a QAM modulated transmitter with the following setup,
However, from my understanding of codes and modulation they can be viewed as individual block... | {
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "modulation, channelcoding",
"url": null
} |
homework-and-exercises, mass, error-analysis, weight
Title: Absolute uncertainity in weight An object has a mass of 88.60 kg ± 0.09 kg. I calculated the weight to be 869 N
but now I need to calculate the absolute uncertainty in weight.
My thinking was that the absolute uncertainty would be .09/869 = 0.0001. Then mult... | {
"domain": "physics.stackexchange",
"id": 33901,
"lm_label": null,
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"openwebmath_score": null,
"tags": "homework-and-exercises, mass, error-analysis, weight",
"url": null
} |
fluid-dynamics, acoustics, non-linear-systems, dispersion, shock-waves
Interestingly, dispersion is not an irreversible term because it increases the order of the derivatives in the equations by an even number. The other loss terms I mentioned increase the order of the derivatives in the equations by an odd number, t... | {
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"tags": "fluid-dynamics, acoustics, non-linear-systems, dispersion, shock-waves",
"url": ... |
and by putting the point $$(x,y,u,v) = (-\frac{1}{2} , 1,\frac{3}{2} , -1)$$ and solving the easy system, we get $$\frac{\partial u}{\partial x} = 0$$ and $$\frac{\partial v}{\partial x} = 1$$
Similarly by calculating this for y, we get $$\frac{\partial u}{\partial y} = 1$$ and $$\frac{\partial v}{\partial y} = 0$$
S... | {
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"lm_q1_score": 0.9893474888461862,
"lm_q1q2_score": 0.8018452662623449,
"lm_q2_score": 0.8104789018037399,
"openwebmath_perplexity": 143.4484579050659,
"openwebmath_score": 0.9977944493293762,
"tag... |
ros, pcl, iai-kinect2, pointcloud-to-laserscan, depth-image-proc
I am unable to make pointcloud_to_laserscan work properly. Does anyone have any idea what is the issue here? Any help will be appreciated.
Update 1 :
When I changed max_height: 5.0, I get a laser_scan but it is completely wrong. Here it is :
header:
s... | {
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"tags": "ros, pcl, iai-kinect2, pointcloud-to-laserscan, depth-image-proc",
"url": null
... |
Here is an example of how the function can be used:
ar1_cor(4, 0.9)
# [,1] [,2] [,3] [,4]
# [1,] 1.000 0.90 0.81 0.729
# [2,] 0.900 1.00 0.90 0.810
# [3,] 0.810 0.90 1.00 0.900
# [4,] 0.729 0.81 0.90 1.000
Such a function might be useful when trying to generate data that has such a correlation structure. For e... | {
"domain": "wordpress.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9770226267447514,
"lm_q1q2_score": 0.8055179506384438,
"lm_q2_score": 0.8244619199068831,
"openwebmath_perplexity": 2020.3507031539107,
"openwebmath_score": 0.5350294709205627,
"tags":... |
14. Movie fans have been privileged over the years to view some incredible movies regarding the great sport
of boxing. These are my personal favorites as best friend movies.
The two main characters are Bob the Tomato and Larry the Cucumber.
15. I love what you guys are up too. This kind of clever work
and coverage! Ke... | {
"domain": "wordpress.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9877587239874875,
"lm_q1q2_score": 0.8355870166881111,
"lm_q2_score": 0.8459424314825853,
"openwebmath_perplexity": 1208.2794641464782,
"openwebmath_score": 0.2838103473186493,
"tags":... |
ros, message, rosjava
~/catkin_ws/src/myjava_pkgs (ROSJAVA package, created using : catkin_create_rosjava_pkg myjava_pkgs rosjava_bootstrap rosjava_messages foo_msgs)
~/catkin_ws/src/myjava_pkgs/foo_msgs (cretaed by : catkin_create_rosjava_msg_project foo_msgs
as given at : http://wiki.ros.org/rosjava/Tutorials/hydro/... | {
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"id": 16536,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros, message, rosjava",
"url": null
} |
performance, array, vba, modules
End Function
Public Function GetCategory(ByVal i As Long) As String
Select Case i Mod 4 'I know number will not exceed range for mod
Case 1
GetCategory = "Cat1: Life Threatening"
Case 2
GetCategory = "Cat2: Emergency"
Case 3
... | {
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"openwebmath_score": null,
"tags": "performance, array, vba, modules",
"url": null
} |
thermodynamics, special-relativity, statistical-mechanics, degrees-of-freedom
Title: Why is the relativistic adiabatic index 4/3? I was told that in the relativistic limit the adiabatic index approaches 4/3 for a monoatomic gas instead of 5/3 in the non-relativistic case. I was told this occurs due to a reduction in d... | {
"domain": "physics.stackexchange",
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "thermodynamics, special-relativity, statistical-mechanics, degrees-of-freedom",
... |
of $f$. Given a function $f\left(x\right)$, we represent its inverse as ${f}^{-1}\left(x\right)$, read as “$f$ inverse of $x$.” The raised $-1$ is part of the notation. interview on implementation of queue (hard interview). For a review of that, go here...or watch this video right here: Second, that function has to be ... | {
"domain": "amcairlines.com",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.980875959894864,
"lm_q1q2_score": 0.8297645983059522,
"lm_q2_score": 0.8459424353665382,
"openwebmath_perplexity": 203.72398914216924,
"openwebmath_score": 0.7886391878128052,
"t... |
Background. A binomial expression is the sum or difference of two terms. (2 marks) Ans. Again, add the two numbers immediately above: 2 + 1 = 3. The binomial expansion formula can simplify this method. Background. The triangle is symmetrical. In this explainer, we will learn how to use Pascals triangle to find the coef... | {
"domain": "fliesen-iseni.de",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9752018390836985,
"lm_q1q2_score": 0.8062108619699045,
"lm_q2_score": 0.8267117940706734,
"openwebmath_perplexity": 447.56968947386196,
"openwebmath_score": 0.8018223643302917,
"tag... |
quantum-mechanics, electromagnetism, thermal-radiation, singularities
Title: In simple terms: how does the quantisation of energy solve the Ultraviolet Catastrophe? I've searched around the site and looked at older posts but none of the answers make sense to me.
For a bit of background: I'm a high school student and d... | {
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"openwebmath_score": null,
"tags": "quantum-mechanics, electromagnetism, thermal-radiation, singularities",
"url": n... |
ros, gazebo, simulation, simulator-gazebo, gazebo-worlds
Title: Smooth Shading for environments in gazebo
Is it possible to activate smooth shading for parts of the world in gazebo? For natural environments like rolling hills, smooth shading (e.g. gouraud) looks a lot better than the default flat shading. I'd like to... | {
"domain": "robotics.stackexchange",
"id": 8006,
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"lm_q1_score": null,
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"tags": "ros, gazebo, simulation, simulator-gazebo, gazebo-worlds",
"url": null
} |
c, hash-map, set, c89
if (entry && entry->prev)
{
return false;
}
for (; entry; entry = entry->next)
{
counter++;
}
return counter == set->state->size;
}
void unordered_set_free(unordered_set* set)
{
if (!set)
{
return;
}
unordered_set_clear(set);
... | {
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"openwebmath_score": null,
"tags": "c, hash-map, set, c89",
"url": null
} |
quantum-field-theory, statistical-mechanics, conformal-field-theory, ising-model
Title: Transverse Ising model in continuum limit Recently I have read "Analyzing the two dimensional Ising model with conformal field
theory" by Paolo Molignini, but I don't understand clearly manipulations in the section about continuum ... | {
"domain": "physics.stackexchange",
"id": 51228,
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"lm_q2_score": null,
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"tags": "quantum-field-theory, statistical-mechanics, conformal-field-theory, ising-model",... |
control, wifi, teleop, robot, keyboard-teleop
Originally posted by Peter Listov with karma: 338 on 2012-12-19
This answer was ACCEPTED on the original site
Post score: 2
Original comments
Comment by SL Remy on 2012-12-20:
You can choose to update only two of the 6 geometry_msgs/Twist parameters (the angular z for the... | {
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"openwebmath_score": null,
"tags": "control, wifi, teleop, robot, keyboard-teleop",
"url": null
} |
javascript, beginner, battle-simulation
Title: Metal King: A JavaScript Game I started to learn programming just a few days ago. And I've written code for a simple original game for practice, using some knowledge of JavaScript that I have gained so far.
Is the following code properly written? I'm especially concerned ... | {
"domain": "codereview.stackexchange",
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"tags": "javascript, beginner, battle-simulation",
"url": null
} |
c, multithreading, pthreads
ptevent_t events;
void *fcn(void *ctx)
{
unsigned flags = 0;
for (;;) {
assert(ptevent_recv(events, &flags, 0xFF, 0x00) == 0);
if (flags & 0x01) {
fprintf(stderr, "got event 1\n");
sleep(1);
}
if (flags & 0x02) {
... | {
"domain": "codereview.stackexchange",
"id": 14088,
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"tags": "c, multithreading, pthreads",
"url": null
} |
The blogposts, for some guidance through the exercises, and other thoughts:
He was planning on starting it up again in some capacity, at some point, but I don't know what happened to that plan. This gave some structure and purpose to what was otherwise a miserable and depressing summer for me, so I have a soft spot fo... | {
"domain": "mathoverflow.net",
"id": null,
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"lm_q1_score": 0.923039172772347,
"lm_q1q2_score": 0.8299242491783088,
"lm_q2_score": 0.899121373891026,
"openwebmath_perplexity": 1664.1340150255753,
"openwebmath_score": 0.32566288113594055,
"tags... |
c#, performance, combinatorics
_charSet = chars.ToArray();
}
This is much more maintainable, as there is reduced repetition, and you don't need an ASCII table at hand to make modifications.
Odometer is not reusable
I also don't like that Increase creates a another RolloverCounter at the very end of the enumeration: i... | {
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"tags": "c#, performance, combinatorics",
"url": null
} |
condensed-matter, solid-state-physics, computational-physics, dirac-delta-distributions, density-of-states
return DOS
Here epsilon is given a value of 0.1 just to test. The eigenvectors of the Hamiltonian were obtained by inputting points of the FBZ:
AllK = len(np.arange(0, 1, 0.01)) * len(np.arange(0, 1, 0.01))
E ... | {
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"id": 82487,
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"openwebmath_score": null,
"tags": "condensed-matter, solid-state-physics, computational-physics, dirac-delta-distribu... |
kinect, cv-bridge, opencv2
void MyImageView::colorImageShow(std::string window_name)
{
cv::imshow(window_name, cv_color_ptr->image);
}
void MyImageView::colorImageShowTest(std::string window_name)
{
cv_bridge::CvImagePtr show;
show = cv_color_ptr;
for(int i = 0; i < show->image.rows;i++)
{
... | {
"domain": "robotics.stackexchange",
"id": 26552,
"lm_label": null,
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"openwebmath_score": null,
"tags": "kinect, cv-bridge, opencv2",
"url": null
} |
c#, object-oriented
}
Purge class:
public class ThrottlerPurger : IThrottlerPurger
{
private readonly IThrottlerCollection throttlers;
private readonly ILogger logger;
private readonly Timer timer;
public ThrottlerPurger(IThrottlerCollection throttlers, ILogger logger)
{
if (throttlers ==... | {
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"id": 17875,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c#, object-oriented",
"url": null
} |
python, python-3.x, image
def script2png(filepath, language='python'):
code = '\n'.join([i.rstrip() for i in Path(
filepath).read_text(encoding='utf8').splitlines()])
formatter = ImageFormatter(style=MyStyle, full=True,
font_name='Source Code Pro', font_size=16,
line_number_bg='#003b6f'... | {
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"id": 43168,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, python-3.x, image",
"url": null
} |
classical-mechanics, kinematics, differential-geometry, rotational-kinematics, spinors
\end{align}
so once again pulling back along $\gamma$, we get
\begin{align}
(F\circ\gamma)’(t)&=\left((F^i\circ\gamma)’(t)+\omega^i_{\,j}[\dot{\gamma}(t)]\cdot (F^j\circ\gamma)(t)\right)\cdot\xi_i(t),
\end{align}
or in classical not... | {
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "classical-mechanics, kinematics, differential-geometry, rotational-kinematics, spi... |
kinematics, dimensional-analysis
Title: Why doesn't a dimensional inconsistency arise while defining a physical quantity in multiple ways? Let's say that we have defined a certain physical quantity from a particular relationship and then we find another relationship and define the physical quantity again.
For example,... | {
"domain": "physics.stackexchange",
"id": 69811,
"lm_label": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "kinematics, dimensional-analysis",
"url": null
} |
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