text stringlengths 1 1.11k | source dict |
|---|---|
with practice we can divide powers.kastatic.org properties of exponents! We ’ ll derive the properties of exponents that allow us to rewrite powers in ways! = 243, you will add the exponents may be different, too through the material best their. To zero length of a number says how many times to use the number in a clas... | {
"domain": "trinitariasmallorca.org",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9621075701109192,
"lm_q1q2_score": 0.811917868435894,
"lm_q2_score": 0.8438951045175643,
"openwebmath_perplexity": 1270.9053218679683,
"openwebmath_score": 0.60593456029891... |
electromagnetism, electromagnetic-induction, inductance
Title: How to demonstrate the inductance of an inductor? I have some troubles to demonstrate this formula. Actually my problem is about how the length of the coil is integrated in the formula... I could understand, that the electromotive force $V_L$ is equal to $... | {
"domain": "physics.stackexchange",
"id": 63840,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "electromagnetism, electromagnetic-induction, inductance",
"url": null
} |
python, python-3.x, array, file, file-system
Now we create a dummy file chuy.toml (touch chuy.toml) and re-run the app:
2021-09-11 03:20:04,702 root DEBUG Log activated
2021-09-11 03:20:04,703 root DEBUG List of items: ['chuy.json', 'pyproject.toml', 'chuy.toml']
2021-09-11 03:20:04,703 root DEBUG Received... | {
"domain": "codereview.stackexchange",
"id": 42029,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, python-3.x, array, file, file-system",
"url": null
} |
pcl, geometry-msgs, pcl-ros
Title: Easy way to transform a geometry_msgs::Pose by a 4x4 Rotation Matrix
Hello All,
I feel as if there should be a way for me to easily translate and rotate a geometry_msgs::Pose by a 4x4 rotation matrix given to me as the final transformation from a registration in the Point Cloud Libr... | {
"domain": "robotics.stackexchange",
"id": 12005,
"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": "pcl, geometry-msgs, pcl-ros",
"url": null
} |
organic-chemistry, elimination
Title: Which elimination is this? This is the question:
$$\ce{Cl-CH2-CH2(Cl)2->[alc KOH][Δ]?}$$
Now, I got the answer right but I think that the reaction should go by the $\ce{E1}$ mechanism because of the high temperature/heat, however, my teacher says that the mechanism will be $\ce{E2... | {
"domain": "chemistry.stackexchange",
"id": 13657,
"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": "organic-chemistry, elimination",
"url": null
} |
java, optimization, algorithm
Flattening
Another additional posibility, also I don't think this will make a big difference here, will be the flattening of your jagged array.
Preevaluation
The next big speed improvement could be the preevaluation of possible moves.
As of the nature of the board, you can use the knig... | {
"domain": "codereview.stackexchange",
"id": 14043,
"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, optimization, algorithm",
"url": null
} |
python, formatting
#t = [str(type(i)).split("\'")[1] for i in objs ] # line in question
print("\n{:<15} {:<6} {:<10}".format("Object","Empty","Type"))
for i in range(len(objs)):
print("{:<15} {:<6} {:<10s}".format(objs[i],str(is_empty[i]),t[i])) | {
"domain": "codereview.stackexchange",
"id": 13802,
"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, formatting",
"url": null
} |
visual-odometry, stereo-camera, viso2-ros, viso2, libviso2
Originally posted by Miquel Massot with karma: 1471 on 2015-09-11
This answer was ACCEPTED on the original site
Post score: 0 | {
"domain": "robotics.stackexchange",
"id": 22507,
"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": "visual-odometry, stereo-camera, viso2-ros, viso2, libviso2",
"url": null
} |
homework-and-exercises, newtonian-mechanics, friction, free-body-diagram, rigid-body-dynamics
ORIGINAL QUESTION:
This is a familiar problem with the setting as given below:
$\mu$ is the coefficient of friction.
Now, with the given applied force of $F = 10N$, and taking $g = 10m/s^2$, we know that the maximum friction... | {
"domain": "physics.stackexchange",
"id": 22391,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "homework-and-exercises, newtonian-mechanics, friction, free-body-diagram, rigid-bo... |
value. Conditional Statements (If-Then Statements) The truth table for P → Q is shown below. In writing truth tables, you may choose to omit such columns if you are confident about your work.) The following is truth table for ↔ (also written as ≡, =, or P EQ Q): To show that equivalence exists between two statements, w... | {
"domain": "wildjusticemusic.com",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.952574129515172,
"lm_q1q2_score": 0.8564797613501972,
"lm_q2_score": 0.899121375242593,
"openwebmath_perplexity": 734.4940030100662,
"openwebmath_score": 0.5925559997558594,
... |
entanglement, terminology-and-notation
Title: What is the notation for factoring a state when non-adjacent qubits are entangled? Suppose I have the entangled state
$$|\psi\rangle = \frac{1}{\sqrt{2}}(|000\rangle + |110\rangle).$$
If i want to factor the non-entangled parts of this state out, I can easily write that do... | {
"domain": "quantumcomputing.stackexchange",
"id": 2765,
"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": "entanglement, terminology-and-notation",
"url": null
} |
human-biology, microbiology, food, digestive-system, mycology
liver is the primary target organ of acute injury. Metabolism plays a
major role in determining the toxicity of aflatoxin B1; studies show
that this aflatoxion requires metabolic activation to exert its
carcinogenic effect, and these effects can be mo... | {
"domain": "biology.stackexchange",
"id": 4266,
"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": "human-biology, microbiology, food, digestive-system, mycology",
"url": null
} |
special-relativity, radioactivity
$$
v \sim \sqrt{\frac{kT}{m}}
$$
Putting in the mass of a tritium molecule (6 nucleon masses, because there are two atoms in each gas molecule), and room temperature, we get around 600 metres per second, or 2 millionths of the speed of light.
The time-dilation effect will change the h... | {
"domain": "physics.stackexchange",
"id": 27299,
"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": "special-relativity, radioactivity",
"url": null
} |
biophysics, diffusion
Edit after clarification on comments (see below)
A model for the process inside the tissue is needed in order to answer the question. Assuming that Fick's law holds at infinitesimal scales one can formulate the problem as solving a system of differential equations expressing the diffusion of the ... | {
"domain": "physics.stackexchange",
"id": 43644,
"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": "biophysics, diffusion",
"url": null
} |
Select Page | {
"domain": "damrell4supervisor.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9736446502128796,
"lm_q1q2_score": 0.8070918299041295,
"lm_q2_score": 0.8289388019824947,
"openwebmath_perplexity": 590.658206810498,
"openwebmath_score": 0.9050467610359192,
... |
fourier-transform, nyquist
Can anyone explain this behavior?
++ the data is sampled every 1 minute, or 2 minutes. Sampling rate switches between 1 min or 2 min quite often
++ codes:
My original time data is in timestamps, and the sampling rate switches between 1 min and 2 min quite often.
t_delta = [(t[i + 1] - t[i])... | {
"domain": "dsp.stackexchange",
"id": 7572,
"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": "fourier-transform, nyquist",
"url": null
} |
electrostatics, conductors
if you have a line integral passing through a charge, isn't the line integral actually running through a singularity of the electric field? I think this should mess things up. ( Charges are like singularities of the electric field as the coulombs law expression blows up as you get very close... | {
"domain": "physics.stackexchange",
"id": 72926,
"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": "electrostatics, conductors",
"url": null
} |
c++, performance, algorithm, sorting
int pivot = arr[low];
int i = low - 1;
int j = high + 1;
while (1) {
int tmp;
while (arr[++i] < pivot);
while (arr[--j] > pivot);
if (i >= j)
break;
SWAP(arr, i, j);
if (indexArr != NULL)
... | {
"domain": "codereview.stackexchange",
"id": 20764,
"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++, performance, algorithm, sorting",
"url": null
} |
phase
Title: At what temperature CO2 becomes solid at normal pressure? I have met contradicting evidence. The phase diagrams show that $\ce{CO2}$ solidifies at $-78.5\ ^{\circ} \mathrm{C}$:
Wikipedia confirms this
At 1 atmosphere (near mean sea level pressure), the gas deposits directly to a solid at temperatures be... | {
"domain": "chemistry.stackexchange",
"id": 3542,
"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": "phase",
"url": null
} |
# Conditional probability and a game of tennis
In a best of 5 tennis match, Alex and Bob are equally likely to be the better players. If Alex (Bob) is the better player, he wins a set with probability 0.75 (0.75) independently of the outcome of the other sets. Three sets are played, and Alex leads with two sets to one... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9877587250685455,
"lm_q1q2_score": 0.8098568026946281,
"lm_q2_score": 0.8198933425148213,
"openwebmath_perplexity": 214.85426060011991,
"openwebmath_score": 0.8599783778190613,
"ta... |
performance, c, matrix, cryptography
Title: Encryption/decryption by matrix multiplication in C I need to encrypt and decrypt text, image and video with a program in C with a matrix.
My program is working but it's really slow, how can I improve its speed ?
specially for the decrypt part.
Each matrix have an identity p... | {
"domain": "codereview.stackexchange",
"id": 28471,
"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": "performance, c, matrix, cryptography",
"url": null
} |
ros, ros2, embedded
if (previousState != digitalRead(ODRIVE_FAN)) {
res_in->success = true;
res_in->message.data = const_cast<char*>("Odrive Fans succeeded to update");
}
else {
res_in->success = false;
res_in->message.data = const_cast<char*>("Odrive Fans FAILED to update");
}
}
// -------------... | {
"domain": "robotics.stackexchange",
"id": 38090,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros, ros2, embedded",
"url": null
} |
performance, ruby, ruby-on-rails, database
the for i in 0...@distinct.length takes your array's length and uses it to construct a range which it turns into an array again. Not necessarily time consuming but unnecessary and hard to read. Ruby gives you each_with_index which can do it in a nicer, more concise way.
favor... | {
"domain": "codereview.stackexchange",
"id": 4822,
"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": "performance, ruby, ruby-on-rails, database",
"url": null
} |
quantum-field-theory, operators, path-integral
The functional integral. Time slicing.
From this, and by the usual arguments (time slicing), Ref.1 derives the phase-space functional integral representation of the transition amplitude, to wit,
\begin{equation}
\begin{aligned}
&\langle\varphi_\mathrm{in};t_\mathrm{in}|\m... | {
"domain": "physics.stackexchange",
"id": 46293,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "quantum-field-theory, operators, path-integral",
"url": null
} |
forces, newtonian-gravity, coulombs-law
It is known that planets move around the sun in elliptical orbits in Newton's time.
Now Coulomb discovered his $\frac{1}{r^2}$ law by conducting extensive and presise experiments. Coulomb used a torsion balance and measure the forces between charged objects leading to his law. R... | {
"domain": "physics.stackexchange",
"id": 27307,
"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": "forces, newtonian-gravity, coulombs-law",
"url": null
} |
quantum-mechanics, hilbert-space, operators
It then follows that:
$$
[\hat{n},\hat{a}^{\dagger}]=[\hat{a}^{\dagger}\hat{a},\hat{a}^{\dagger}]=\hat{a}^{\dagger}[\hat{a},\hat{a}^{\dagger}]+[\hat{a}^{\dagger},\hat{a}^{\dagger}]\hat{a}=\hat{a}^{\dagger},
$$
where in the first equality we use the definition of $\hat{n}$, i... | {
"domain": "physics.stackexchange",
"id": 73517,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "quantum-mechanics, hilbert-space, operators",
"url": null
} |
programming-challenge, swift
import Foundation
func addToResult(inout results:[Int], var addResult:Int, index:Int) {
if index == results.count {
results.append(0)
}
addResult = results[index] + addResult
var result = addResult % 10
results[index] = result
var retain = addResult / ... | {
"domain": "codereview.stackexchange",
"id": 11472,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "programming-challenge, swift",
"url": null
} |
quantum-mechanics, inertial-frames, perturbation-theory, hydrogen, protons
$$\hat{H} = \frac{\hat{p}^2}{2 m_e} + V(r) - \frac{\hat{p}^4}{8 m_e^3 c^2},$$ since we're ignoring a term of the order $\sim 10^{-3}$ but considering one of the order $\sim 10^{-7}$. When taking the relativistic corrections into account, the co... | {
"domain": "physics.stackexchange",
"id": 69049,
"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, inertial-frames, perturbation-theory, hydrogen, protons",
"ur... |
php, validation, form
Education has the same array-related problem.
You should validate country too. I send a bogus POST request saying I'm from "The Moon" and your code won't complain.
Is there a particular reason to giving the form and input reset elements a name?
I can't tell if it's safe without seeing the PHP ... | {
"domain": "codereview.stackexchange",
"id": 3149,
"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, validation, form",
"url": null
} |
navigation, turtlebot2, turtlebot, costmap, sensor
obstacle_layer:
enabled: true
max_obstacle_height: 0.6
origin_z: 0.0
z_resolution: 0.2
z_voxels: 2
unknown_threshold: 15
mark_threshold: 0
combination_method: 1
track_unknown_space: true #t... | {
"domain": "robotics.stackexchange",
"id": 20368,
"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": "navigation, turtlebot2, turtlebot, costmap, sensor",
"url": null
} |
fluid-dynamics, pressure, momentum, conservation-laws
\end{equation}
if you have an homogeneous pressure field, there would not be a gradient, so in that case you will have the equation
\begin{equation}
\frac{D\boldsymbol{v}}{Dt}=0
\end{equation}
which means that velocity is constant along stream lines | {
"domain": "physics.stackexchange",
"id": 19212,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "fluid-dynamics, pressure, momentum, conservation-laws",
"url": null
} |
evolution, natural-selection, ornithology, adaptation, reproductive-biology
What exactly does adaptive mean here? Does it mean hatching asynchrony has fitness benefits? Or does it mean hatching asynchrony is likely to be selected for? A trait is said to be adaptive when it causes fitness to increase. Fitness is genera... | {
"domain": "biology.stackexchange",
"id": 2565,
"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": "evolution, natural-selection, ornithology, adaptation, reproductive-biology",
"ur... |
-
Interesting approach. Had never seen it. – Pedro Tamaroff Mar 5 '13 at 2:31
Basically, for fixed $i$, the polynomial $\binom {k}{i}$ is a polynomial of degree $i$, and therefore they form a basis for all polynomials. – Thomas Andrews Mar 5 '13 at 2:33
@ThomasAndrews I havne't yet encountered that notation. What is it... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.984810954312569,
"lm_q1q2_score": 0.8350879354625007,
"lm_q2_score": 0.8479677564567912,
"openwebmath_perplexity": 287.10139998295625,
"openwebmath_score": 0.9632834792137146,
"tag... |
energy, atomic-physics
Title: Why potential energy is neglected in this problem for calculating the energy difference between two stationary Bohr Orbits?
Question
An electron in a hydrogen like atom makes a transition from a state in which its de-Broglie wavelength is $\lambda_1$ to a state in which its de-Broglie wa... | {
"domain": "physics.stackexchange",
"id": 60382,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "energy, atomic-physics",
"url": null
} |
# If $\int_0^\infty {e^{-\lambda t}f(t){\rm d}t} = 0$ for all $\lambda >0$ then $f=0$ a.e.?
I am studying a paper in which the author uses something like that:
Let $f$ be a bounded and Lebesgue measurable function. If $$\int_0^\infty {e^{-\lambda t}f(t)\,{\rm d}t} = 0 \qquad\text{for all} \qquad \lambda \gt0$$ then $... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9759464471055738,
"lm_q1q2_score": 0.8068264340367813,
"lm_q2_score": 0.8267117898012105,
"openwebmath_perplexity": 119.22587011278756,
"openwebmath_score": 0.9617611765861511,
"ta... |
scheme
;; Use an output string to collect the data read.
;; Return the contents of a text file as a single string,
;; #\newlines included.
(define (file->string3 path)
(let* ((start-time (current-second))
(result (call-with-input-file path
(lambda (p)
(let ((out (open... | {
"domain": "codereview.stackexchange",
"id": 44274,
"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": "scheme",
"url": null
} |
astronomy, relativity
Title: Derivation of superluminality in astronomy Can somebody provide derivation of the relativistic explanation of (apparent) superluminality in astronomy? The derivation on wikipedia seems to be a bit confusing.
You are at 'O' the object is moving from A,B and is further from you at A than i... | {
"domain": "physics.stackexchange",
"id": 4421,
"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": "astronomy, relativity",
"url": null
} |
organic-chemistry, hydrocarbons
$\ldots$ as a molecular formula which is mainly used in cars as fuel $\ldots$
Because
First off, we don't know if $x$ in the molecular formula is an integer or a decimal number.
Second, we don't know what fuel is meant. It's just supposed to be a fuel used in cars. And what are the f... | {
"domain": "chemistry.stackexchange",
"id": 3972,
"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": "organic-chemistry, hydrocarbons",
"url": null
} |
java, community-challenge
Usage / Test
You can find implementations of games on github. See for example CWars2CardsTest and SimpleGameTest.
Questions
My primary concerns are:
Generics. Am I over-using it or under-using it? The idea behind my usage is that all "outer" classes uses generics for their "inner" things. A ... | {
"domain": "codereview.stackexchange",
"id": 7949,
"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, community-challenge",
"url": null
} |
python, analog-to-digital
Title: Sampling analog signal with python; problems with understanding fundamentals I would like to sample an analog 5kHz signal with a 50MHz sample rate. I want to do this with python so I can see if this sort of sample rate is enough for my needs. But I couldn't wrap my head around the prob... | {
"domain": "dsp.stackexchange",
"id": 11372,
"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, analog-to-digital",
"url": null
} |
c++, c++11, library, dynamic-loading, system-verilog
int CONCAT(my_model_,FLAVOR)::get_info(std::string key, int* value) {
printf("Info: %s(%s,%%d) : %s:%d\n", __func__,key.c_str(), __FILE__,__LINE__);
if (um.count(key)==0) return -1;
*value = um[key] + static_cast<int>(FLAVOR);
return ... | {
"domain": "codereview.stackexchange",
"id": 42747,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c++, c++11, library, dynamic-loading, system-verilog",
"url": null
} |
experimental-physics, error-analysis, statistics, data-analysis
$$ \gamma_t = n\sigma_{\gamma_t}+\gamma_m $$
$$ \Rightarrow n \approx 1.6 $$
I hope I made my case clear. Here is the illustration: When you want to see if two quantities with uncertainty agree, you should compare their difference with zero. If $\gamma_t... | {
"domain": "physics.stackexchange",
"id": 77912,
"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": "experimental-physics, error-analysis, statistics, data-analysis",
"url": null
} |
rviz, ros-kinetic
I am sure this question comes from my not quite understanding what RViz does and it's relationship with other packages.
RViz doesn't really have a relationship with other packages. You can use ROS and have a robot be completely controlled by ROS without ever touching or using RViz.
You would probabl... | {
"domain": "robotics.stackexchange",
"id": 30006,
"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": "rviz, ros-kinetic",
"url": null
} |
First, note that since $x^2-x+1\geq \frac{3}{4}$ for every $x$ we have $$a_{n+1}\leq \frac{4}{3}a_n^2$$ and consequently by induction $$a_n\leq \frac{3}{4}\left(\frac{4}{3}a_1\right)^{2^{n-1}}=\frac{3}{4}\left(\frac{2}{3}\right)^{2^{n-1}}$$ In particular $\lim_{n\to\infty}a_n=0$. Now, define $S_n=\dfrac{1-2a_{n+1}}{1-a... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.984810954312569,
"lm_q1q2_score": 0.8141548245532751,
"lm_q2_score": 0.826711787666479,
"openwebmath_perplexity": 271.62285847419236,
"openwebmath_score": 0.9366493821144104,
"tags... |
field-theory, boundary-conditions, dirac-equation
This is not the most general (classical) solution of the Dirac equation, the most general solution is a linear combination of all such plane wave solutions, i.e.
$$\psi (x) = \sum_s \int d^3p A^s_{\vec{p}} \space\mathcal{u}^s_{\vec p}e^{-ip \cdot x}$$ where the $A^s_{\... | {
"domain": "physics.stackexchange",
"id": 84076,
"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": "field-theory, boundary-conditions, dirac-equation",
"url": null
} |
python, performance, mathematics, numerical-methods
elif vardim == 3 and dim == 3:
dydx = np.zeros((len(y[:,0,0]), len(y[0,:,0]), len(y[0,0,:])))
for i in range(len(dydx[:,0,0])):
for j in range(len(dydx[0,:,0])):
for k in range(len(dydx[0,0,:])):
... | {
"domain": "codereview.stackexchange",
"id": 44472,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, performance, mathematics, numerical-methods",
"url": null
} |
catkin-make, catkin
Noticing that the actual error messages changed when executing "catkin_make" multiple times, I figured there might be some issue with parallel jobs and different timings leading to different errors. Sure enough, when running "catkin_make -j1", the project compiles. Any ideas if there's something on... | {
"domain": "robotics.stackexchange",
"id": 15122,
"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": "catkin-make, catkin",
"url": null
} |
energy, statistical-mechanics, partition-function
The probability of $s$ can be written as $P(s) = Z_s / Z$ where $Z_s = \sum_{s_i} \exp(-E_{s_i}/kT)$. Here the summation goes through the states $s_i$ compatible with $s$.
The free energy at fixed $s$ is then $A(s) = -kT \ln Z_s$. If I go by the previous expression, ... | {
"domain": "physics.stackexchange",
"id": 55866,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "energy, statistical-mechanics, partition-function",
"url": null
} |
atomic-physics, quantum-spin, molecules
So it is not surprising to see some 3p $\rightarrow$ 3s emission lines.
Suppose an atom is excited to one of the 3s states. It will likewise decay towards 2p (more lines in the emission spectrum, which don't concern us here). Because of this, its lifetime will not be particularl... | {
"domain": "physics.stackexchange",
"id": 52215,
"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": "atomic-physics, quantum-spin, molecules",
"url": null
} |
quantum-mechanics, operators, hilbert-space
so that $\frac{d}{dx}\langle x|\psi\rangle$ makes sense.
The operator $\hat{p}$ must be viewed as an operator working on abstract vectors of the abstract Hilbert space $\cal H$ and it has different equivalent definitions depending on the representation you fix for $\cal H$ ... | {
"domain": "physics.stackexchange",
"id": 27984,
"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, operators, hilbert-space",
"url": null
} |
• Note that the lower bound holds by Robin Chapman's argument, of course. – Benoît Kloeckner Jul 11 '10 at 18:10
• Actually, you don't need to know about the perfect example for n+1 vectors. The above Yuichiro argument induces plenty of specific generic examples. For the sake of the theorem, these generic examples are ... | {
"domain": "mathoverflow.net",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9777138112138841,
"lm_q1q2_score": 0.8016210382448887,
"lm_q2_score": 0.8198933359135361,
"openwebmath_perplexity": 366.92741381095294,
"openwebmath_score": 0.9020596742630005,
"tag... |
• << The way I would look at this is as follows: P(B caused X) = P(X given B) / sum of this and other ways to get X >> The problem with this is that: a) I don't get the reason the following equality is true. How it is being derived logically? b) Since we know someone is diagnosed with B and has the symptom X, then the ... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9777138170582865,
"lm_q1q2_score": 0.8126200357089556,
"lm_q2_score": 0.8311430415844385,
"openwebmath_perplexity": 930.5223085134861,
"openwebmath_score": 0.8123046159744263,
"tag... |
graph-algorithms, approximation-algorithms, set-cover, clique
John M. Ennis, Charles M. Fayle, and Daniel M. Ennis: Assignment-minimum clique coverings. Journal of Experimental Algorithmics 17(1), 2012.
It also gives some heuristics and experimental results. They don't give worst-case approximation ratios; minimizing ... | {
"domain": "cstheory.stackexchange",
"id": 1894,
"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": "graph-algorithms, approximation-algorithms, set-cover, clique",
"url": null
} |
c#, asynchronous
if (!Directory.Exists(Properties.Settings.Default.workingDirectory))
{
Directory.CreateDirectory(Properties.Settings.Default.workingDirectory);
}
using (FileStream filestream = new FileStream(downloadedFile.FileName, FileMode.Creat... | {
"domain": "codereview.stackexchange",
"id": 2697,
"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#, asynchronous",
"url": null
} |
>>> mpr(prob_death(5, 5))
0.806641 0.666016 0.622070 0.666016 0.806641
0.666016 0.437500 0.349609 0.437500 0.666016
0.622070 0.349609 0.261719 0.349609 0.622070
0.666016 0.437500 0.349609 0.437500 0.666016
0.806641 0.666016 0.622070 0.666016 0.806641
The probability of dying in 5 steps. I can’t verify the exact value... | {
"domain": "haiboyu.me",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9873750496039276,
"lm_q1q2_score": 0.8431321468031154,
"lm_q2_score": 0.8539127529517043,
"openwebmath_perplexity": 801.352328315279,
"openwebmath_score": 0.5746873021125793,
"tags": null... |
This doesn't directly answer the original question, but why not use the fact that Mathematica can evaluate the exact sum symbolically:
s = Sum[(-1)^n/n^3, {n, 1, Infinity}]
(-3*Zeta[3])/4 *)
Then you may use N, with a 2nd argument to specify the desired precision, e.g.:
N[s, 50]
(* -0.9015426773696957140498... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9732407199191508,
"lm_q1q2_score": 0.8272265644555574,
"lm_q2_score": 0.849971181358171,
"openwebmath_perplexity": 1550.3991248740922,
"openwebmath_score": 0.586307168006897,
"tags... |
Suggest Corrections
0
Similar questions
View More
People also searched for
View More | {
"domain": "byjus.com",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9861513877494096,
"lm_q1q2_score": 0.8217842122357573,
"lm_q2_score": 0.8333246015211008,
"openwebmath_perplexity": 598.359496133687,
"openwebmath_score": 0.37987786531448364,
"tags": ... |
### 2 comments on “A probability puzzle”
• ##### Barney
Really liked this blog, even though it’s taken a while for me to get round to reading it! Would it be fair to say the median is preferable to the mean due to the extreme skewness of the kx^4 distribution?
• ##### Colin
That would be fair, I think.
This site u... | {
"domain": "co.uk",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9951702789704043,
"lm_q1q2_score": 0.8112951393867694,
"lm_q2_score": 0.8152324848629214,
"openwebmath_perplexity": 586.4917722867962,
"openwebmath_score": 0.7805094122886658,
"tags": null,
... |
homework-and-exercises, lagrangian-formalism, field-theory, symmetry-breaking
Title: Lagrangian and finding equations of motion I am given the following lagrangian:
$L=-\frac{1}{2}\phi\Box\phi\color{red}{ +} \frac{1}{2}m^2\phi^2-\frac{\lambda}{4!}\phi^4$
and the questions asks:
How many constants c can you find for w... | {
"domain": "physics.stackexchange",
"id": 65440,
"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, lagrangian-formalism, field-theory, symmetry-breaking",
... |
java, object-oriented, simulation
/**
* Processes the full sequence of ArrivalEvents to calculate statistics.
* This process is split into a few stages,
* (i)At the start of each loop, get the first event from the PriorityQueue
* (ii)prints the profile of the event to signal that we start processin... | {
"domain": "codereview.stackexchange",
"id": 33836,
"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, object-oriented, simulation",
"url": null
} |
deutsch-jozsa-algorithm
Title: How to solve this Deutsch Jozsa variant? You are given a function $f : \{0,1\}^n \to \{0,1\}$ and a quantum circuit, $C$, computing the signed implementation of $f$. Let $I_0$ be the input bit-strings of length $n$ where the first bit is $0$, and $I_1$ be the
remaining ones (i.e., the fi... | {
"domain": "quantumcomputing.stackexchange",
"id": 2111,
"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": "deutsch-jozsa-algorithm",
"url": null
} |
acid-base, equilibrium
The corresponding salt of a more volatile acid could also be termed its conjugate base. So the reaction we are talking about includes the conjugate base of one acid and sulphuric acid as a second acid. To exemplify things, I will use hydrochloric acid as the first acid whose conjugate base is ch... | {
"domain": "chemistry.stackexchange",
"id": 6370,
"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": "acid-base, equilibrium",
"url": null
} |
Because $$\eta \sim \mathcal N(0, I)$$, we have that $$V^T \eta \sim \mathcal N(V^T 0, V^T V) = \mathcal N(0, I)$$. Also notice that $$\lVert V^T \eta \rVert^2 = \eta^T V V^T \eta = \eta^T \eta = \lVert \eta \rVert^2 .$$ So we can do a change of variables to $$V^T \eta = X = A W$$, with $$X \sim \mathcal N(0, I)$$ and ... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9869795083542036,
"lm_q1q2_score": 0.8159475937416862,
"lm_q2_score": 0.826711787666479,
"openwebmath_perplexity": 287.6094703509543,
"openwebmath_score": 0.9899662733078003,
"tags... |
physical-chemistry, photochemistry, spectrophotometry, absorption
That is,
$$\overline{\gamma}=p_{\lambda_1}\gamma_{\lambda_1}+p_{\lambda_2}\gamma_{\lambda_2},$$
where $p$ is the fraction of the beam which is of a given wavelength (indicated by the subscript). The mathematics seems to work out, but I have never seen t... | {
"domain": "chemistry.stackexchange",
"id": 10789,
"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": "physical-chemistry, photochemistry, spectrophotometry, absorption",
"url": nul... |
mavros
Regards,
Martin.
TL;DR - Can I duplicate the mavros/OverrideRCIn message in the folder /opt/ros/indigo/include to make mavros 0.13 on the rover communicate with mavros 0.15 on the laptop? | {
"domain": "robotics.stackexchange",
"id": 23016,
"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": "mavros",
"url": null
} |
metals
Title: What are these metal cylinders often found in the streets of London? I often find these metal cylinders in the streets of London: a silver-colored tube with a round tapering at one end and a hole with no thread at the other.
What are they? These containers are nitrous oxide canisters
https://www.talkto... | {
"domain": "engineering.stackexchange",
"id": 2700,
"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": "metals",
"url": null
} |
thermodynamics, entropy, fluctuation-dissipation
Because literally in the next paragraph Jarzyski says that if the evolution is not quasi static we obtain
$$W \geq \Delta F\tag{6}$$
which (assuming my investigation was correct) would mean that here $\Delta S \geq0.$ The system is not thermally isolated like you think ... | {
"domain": "physics.stackexchange",
"id": 55266,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "thermodynamics, entropy, fluctuation-dissipation",
"url": null
} |
python, performance, numpy, simulation, computational-geometry
def check_lengths(four_bar_set):
if (not (np.abs(four_bar_set[0][1]) - np.abs(four_bar_set[1][1])) < 1e-10 or
not (np.abs(four_bar_set[0][2]) - np.abs(four_bar_set[1][2])) < 1e-10 or
not (np.abs(four_bar_set[0][3]) - np.abs(four_bar_set... | {
"domain": "codereview.stackexchange",
"id": 25040,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, performance, numpy, simulation, computational-geometry",
"url": null
... |
java, performance
Note that the loop determining the maximum upper boundary is terminated once a frequency greater than 65535 is encountered, because any subsequent frequency cannot affect the maximum upper boundary, whereas your code iterates through the whole list of EncodingData objects, even if there already has b... | {
"domain": "codereview.stackexchange",
"id": 30156,
"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",
"url": null
} |
organic-chemistry, carbocation, hyperconjugation
References | {
"domain": "chemistry.stackexchange",
"id": 10666,
"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": "organic-chemistry, carbocation, hyperconjugation",
"url": null
} |
ros-melodic
And to see what is move_base.launch refer to: https://github.com/husky/husky/blob/noetic-devel/husky_navigation/launch/move_base.launch | {
"domain": "robotics.stackexchange",
"id": 37136,
"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
} |
path-integral
In quantum mechanics, the path integral represents the explicit final formula for any probability amplitude. The amplitude for any transition from the state $|i\rangle$ to the state $|f\rangle$ may be directly expressed as a path integral, and the probability is the absolute value of the probability ampl... | {
"domain": "physics.stackexchange",
"id": 18023,
"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": "path-integral",
"url": null
} |
$(x-1)(2x^6+7x^4-4x^2) = x^2(x-1)(2x^4+7x^2-4)$
$=x^2(x-1)(2x^2-1)(x^2+4)$
Can you complete it from here? | {
"domain": "mathhelpforum.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9850429129677614,
"lm_q1q2_score": 0.8430501123080064,
"lm_q2_score": 0.8558511524823263,
"openwebmath_perplexity": 538.6870097376623,
"openwebmath_score": 0.9220497608184814,
"tag... |
hash-tables, hashing
However I don't understand how $\frac{1}{1-\frac{i}{m}}$ gives the number of maximum probes needed. Imagine we have $n=5$ and $m=10$ with linear probing. Now if we want to insert the 6th key, based on the fraction above it should take us at most $\frac{1}{1-\frac{5}{10}}=2$ probes. However imagine... | {
"domain": "cs.stackexchange",
"id": 17940,
"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": "hash-tables, hashing",
"url": null
} |
bash, shell, git
# Redirect output to stderr.
exec 1>&2
if [ "$allowbigfiles" != "true" ]
then
set -e
git diff --name-only --cached $1 | while read x; do too_big $x; done
fi
Edit:
The final script ended up as part of a library of client side Git Hooks Although described as a Bash script, this appears to be a por... | {
"domain": "codereview.stackexchange",
"id": 36059,
"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": "bash, shell, git",
"url": null
} |
c#
Title: Method if condition logic This logic checks accessGroup and if accessGroup is equal to "Admin" then it only checks if result.Admin or baccess is true but if accessGroup is anthing else it will need to check two other objects result.Admin == true || result.PowerUser. Is there any other way to do this if condi... | {
"domain": "codereview.stackexchange",
"id": 42086,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c#",
"url": null
} |
c#, multithreading, concurrency, compression
// Compute match and distance codes.
int mc = 0; while ( length >= MatchOff[ mc ] ) mc += 1; mc -= 1;
int dc = 29; while ( distance < DistOff[ dc ] ) dc -= 1;
if ( prev.Lit.Bits[ 257 + mc ] == 0 || prev.Dist.Bits[ dc ] == 0 ) goto EndSearch;
... | {
"domain": "codereview.stackexchange",
"id": 33387,
"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#, multithreading, concurrency, compression",
"url": null
} |
image, html5, svg, base64
OEQhXKBGP//EAB0QAAIDAQADAQAAAAAAAAAAAAACAQMQIAQwMkL/2gAIAQEAAQUC4cYsLBx9UUjF
xDx/mO59E91ilYu1lZHE6x+D/8QAGhEAAgMBAQAAAAAAAAAAAAAAAAQCAxAFIP/aAAgBAwEBPwEi
KiAkc4UxYUKdp8U7IZG8d18... | {
"domain": "codereview.stackexchange",
"id": 40139,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "image, html5, svg, base64",
"url": null
} |
• This question arose when dealing with a proof of the fact that sum of two compact operators between Banach spaces is a compact operator. (There was a short discussion of this result in functional analysis chatroom quite recently.) Since here we are asking whether for the unit ball $B$ we have that $\overline{T(B)}$ i... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9790357585701874,
"lm_q1q2_score": 0.8200599021483157,
"lm_q2_score": 0.8376199694135332,
"openwebmath_perplexity": 80.91557952507274,
"openwebmath_score": 0.9577369689941406,
"tag... |
c#
public partial class HdcpGammaDataSerializer<HdcpGammaData> : IDataDeserializer
{
public HdcpGammaData DeSeralize()
{
// Build my HdcpGameData object in here either
}
}
public partial class HdcpGammaDataDeSerializer<HdcpGammaData> : IDataDeserializer
{
public HdcpGammaData DeSeralize()
... | {
"domain": "codereview.stackexchange",
"id": 3074,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c#",
"url": null
} |
$$\lim_{n\to\infty} {a_{n+1}\over a_n}= \lim_{n\to\infty} {(n+1)^5\over 5^{n+1}}{5^n\over n^5}= \lim_{n\to\infty} {(n+1)^5\over n^5}{1\over 5}=1\cdot {1\over5} ={1\over 5}.$$
This is really just what we noticed above, done a bit more officially: in the long run, each term is one fifth of the previous term. Now pick so... | {
"domain": "libretexts.org",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9873750507184356,
"lm_q1q2_score": 0.8118090366002171,
"lm_q2_score": 0.8221891327004133,
"openwebmath_perplexity": 175.8374803024278,
"openwebmath_score": 0.9614256620407104,
"tags":... |
javascript
Title: Presenting user with options and executing a function based on user choice in Javascript I'm currently creating a text based game where the user navigates through the game via buttons and i'm trying to improve on my code because i'm pretty sure it could be alot better, the following is some code whic... | {
"domain": "codereview.stackexchange",
"id": 40286,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "javascript",
"url": null
} |
statistical-mechanics, condensed-matter, complex-numbers, dissipation
Then, we know the for forced oscillation without damped term $-\mu \frac{dx}{dt}$:
$$m\frac{d^2x}{dt^2}=-kx -\mu \frac{dx}{dt}+ F_0\cos(\omega t )$$
the displacement is:
$$x=\frac{F_0/m}{\sqrt{(\omega_0^2-\omega^2)^2+(\gamma\omega)^2}}\cos(\omega t ... | {
"domain": "physics.stackexchange",
"id": 61747,
"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": "statistical-mechanics, condensed-matter, complex-numbers, dissipation",
"url": n... |
polarization, gravitational-waves, cosmological-inflation, cosmic-microwave-background
To be precise, the above is true to linear order in perturbation theory. At higher order, you can get $B$-type polarization from scalar perturbations. That's the source of the gravitational lensing signal you refer to. The $B$ modes... | {
"domain": "physics.stackexchange",
"id": 1122,
"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": "polarization, gravitational-waves, cosmological-inflation, cosmic-microwave-backgro... |
special-relativity, relativity
Let the end A fire a pulse (event 1) and end B fire another pulse (event 2) at the same time as observed by someone who is at rest equidistant from the ends with respect to the rod. It is evident that the observer will infer the events being simultaneous.
Can we take the time interval be... | {
"domain": "physics.stackexchange",
"id": 21162,
"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": "special-relativity, relativity",
"url": null
} |
python, turtle-graphics
if __name__ == "__main__":
import sys
t = Turtle.from_file(sys.argv[1])
t.run_all()
Note that if data is the empty list (which is allowed by the extended tuple unpacking), the splatting using * will not interfere and allow even methods without arguments being run. I.e. the followin... | {
"domain": "codereview.stackexchange",
"id": 36560,
"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, turtle-graphics",
"url": null
} |
machine-learning, recommendation-systems
Basically I either:
1. Assign weights based on the amount of information (ratings collected).
2. Assign weights based on the accuracy of the algorithm used.
The algorithms arrive at their answer via different means, and it is possible that two may give the same answer, but they... | {
"domain": "cs.stackexchange",
"id": 9244,
"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, recommendation-systems",
"url": null
} |
rviz, urdf, ros-kinetic
<link name="left_lower_arm_link">
<visual>
<origin xyz="0 0 0" rpy="0 0 0"/>
<geometry>
<cylinder radius="0.0075" length="0.11"/>
</geometry>
<material name="Grey1">
<color rgba="0.9 0.9 0.9 1.0"/>
</material>
</visual>
</li... | {
"domain": "robotics.stackexchange",
"id": 30489,
"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": "rviz, urdf, ros-kinetic",
"url": null
} |
fluid-dynamics, acoustics, volume
$\rho (\frac{\partial \mathbf{v}}{\partial t} + \mathbf{v} \cdot \nabla \mathbf{v}) = -\nabla p + \frac{1}{\mathrm{Re}} \nabla^2 \mathbf{v} +f$
The term with the $p$ is due to the change in pressure from one point to another. The other one with the $\mathrm{Re}$ is due to the viscosit... | {
"domain": "physics.stackexchange",
"id": 5461,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "fluid-dynamics, acoustics, volume",
"url": null
} |
time-series, similarity, distance
Some alternatives to DTW can be found in this literature review on time series dissimilarity measures. | {
"domain": "datascience.stackexchange",
"id": 4930,
"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": "time-series, similarity, distance",
"url": null
} |
slam, navigation, ros-melodic, rtabmap
and generates a topic
rostopic list | grep -i cloud_map
/map_assembler/cloud_map
/rtabmap/cloud_map
However, nothing gets published
rostopic echo /map_assembler/cloud_map
...
According to here, map_assembler subscribes to rtabmap_ros/MapData
I see the following mapData related... | {
"domain": "robotics.stackexchange",
"id": 32449,
"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": "slam, navigation, ros-melodic, rtabmap",
"url": null
} |
homework-and-exercises, newtonian-mechanics, forces, friction
Static friction provides an upper limit to the magnitude of the force that friction can provide. The force due to friction can be very small if the angle is very small, but it cannot be very large. At some point, as you increase the angle, the force requi... | {
"domain": "physics.stackexchange",
"id": 14072,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "homework-and-exercises, newtonian-mechanics, forces, friction",
"url": null
} |
javascript
Title: Is this correct way to use cookies from a syntax point of view? I'd like to know if this is the right syntax for using cookies. I haven't yet tested this code with cookies being used.
I'm using a jQuery Plugin called jPages to display pages on my (one page) website, it has a lot of options and it's v... | {
"domain": "codereview.stackexchange",
"id": 1717,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "javascript",
"url": null
} |
c++, performance, algorithm, memory-optimization
// Inspired by https://en.wikipedia.org/wiki/Alpha–beta_pruning
// Inspired by http://people.csail.mit.edu/plaat/mtdf.html#abmem
class Solver {
private:
val_t maxPossibleScore;
unsigned long long nodeCount;
#if N == 5
unsigned i... | {
"domain": "codereview.stackexchange",
"id": 41410,
"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++, performance, algorithm, memory-optimization",
"url": null
} |
javascript, array, youtube
bin.unshift with the a negative for loop is the same as bin.push with a positive for loop.
Positive for loops are always preferred when possible.
for (var i = playlistIndex.length - 1; i >= 0; i--) {
bin.unshift(playlist.splice(playlistIndex[i], 1));
}
into:
for (var i = 0, length = pl... | {
"domain": "codereview.stackexchange",
"id": 17339,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "javascript, array, youtube",
"url": null
} |
php, pdo
}
class Query extends DBconnection {
public function FetchQuery($query, $params) {
$stmt = $this->conn->prepare($query);
$stmt->execute($params);
$result_query_fetch = $stmt->fetch(PDO::FETCH_ASSOC);
if($result_query_fetch) {
return $result_query_fet... | {
"domain": "codereview.stackexchange",
"id": 43495,
"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, pdo",
"url": null
} |
homework-and-exercises, electrostatics, electric-fields, capacitance, gauss-law
Using Gauss's law, which actually relates the distribution of electric charge to the resulting electric field, you do an integral over the surface containing the charge distribution, $$\int_S \vec E \cdot \vec {dS} = \frac{Q}{\epsilon_0}$$... | {
"domain": "physics.stackexchange",
"id": 78518,
"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, electrostatics, electric-fields, capacitance, gauss-law",
... |
python, random, numpy, coordinate-system, vectorization
Title: Generate random unit vectors around circle I'm trying to generate a bunch of uniformly distributed unit vectors around the unit circle. Here's my code, which is working, but unfortunately I have a for-loop. How do I get rid of this for-loop?
import numpy a... | {
"domain": "codereview.stackexchange",
"id": 11704,
"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, random, numpy, coordinate-system, vectorization",
"url": null
} |
sql, dynamic-programming
Title: Dynamic SQL query for count data I'm working on an application that counts the number of employees in each department.
Here's my code:
SELECT
count(case when (JS_TITLE = 'Accounting')then 1 end)as Accounting,
count(case when (JS_TITLE = 'Management')then 1 end)as Management,
... | {
"domain": "codereview.stackexchange",
"id": 37408,
"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": "sql, dynamic-programming",
"url": null
} |
turtlebot, ros-groovy
and for "roslaunch turtlebot_follower follower.launch" I get the following error:
NODES
/camera/
camera_nodelet_manager (nodelet/nodelet)
depthimage_to_laserscan_loader (nodelet/nodelet)
follower (nodelet/nodelet)
openni_camera_loader (nodelet/nodelet)
/camera/depth/
poin... | {
"domain": "robotics.stackexchange",
"id": 12883,
"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": "turtlebot, ros-groovy",
"url": null
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.