text stringlengths 1 1.11k | source dict |
|---|---|
homework-and-exercises, electromagnetism, lagrangian-formalism, tensor-calculus, stress-energy-momentum-tensor
Title: The variation of the Lagrangian density for the canonical energy-momentum tensor I expanded the Lagrangian to this form
$$ \mathcal{L} = -{1 \over 4} F^{\mu \nu} F_{\mu \nu} = ... = - {1 \over 2} (\par... | {
"domain": "physics.stackexchange",
"id": 74196,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "homework-and-exercises, electromagnetism, lagrangian-formalism, tensor-calculus, s... |
organic-chemistry, molecular-orbital-theory, aromaticity
Regarding the Frost circles, they do not actually have any meaning: they are simply visual representations of the energies obtained from Hückel theory for cyclic polyenes. The last line of porphyrin's answer is relevant here: | {
"domain": "chemistry.stackexchange",
"id": 10154,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "organic-chemistry, molecular-orbital-theory, aromaticity",
"url": null
} |
# Equation for a straight line in Cartesian space
I am trying to create a straight line in the Cartesian space made from two points that have (x,y,z) coordinates. This is for a making a robot arm move in a straight line, I would input two points and the math would give me back a certain numbers of points that create a... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9683812318188366,
"lm_q1q2_score": 0.8324822399279298,
"lm_q2_score": 0.8596637487122111,
"openwebmath_perplexity": 152.26641470391934,
"openwebmath_score": 0.8917195796966553,
"ta... |
# System of three linear ODEs by elimination method
Help me solve a system of three linear ODEs. I seem to have grasped the $2\times 2$ systems but $3\times 3$ ones give me problems. I solved one $3\times 3$ using the method of elimination. I'm postponing the matrix method for a while.
Here's the system: $$x' = 3x + ... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9799765563713599,
"lm_q1q2_score": 0.8208479311875926,
"lm_q2_score": 0.8376199673867852,
"openwebmath_perplexity": 265.55511603792655,
"openwebmath_score": 0.9353369474411011,
"ta... |
evolution, natural-selection, theoretical-biology, evolutionary-game-theory, sociality
Are there assumptions of Hamilton's rule that are not listed above? Unfortunately, the answer depends completely on how stringent you are with "Hamilton's rule". If you just mean the equation $r \geq c/b$ then it is important to loo... | {
"domain": "biology.stackexchange",
"id": 1888,
"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, theoretical-biology, evolutionary-game-theory, social... |
quadcopter, pid, stability
Gimbal lock is a phenomenon which may happen in the attitude estimation algorithm. It has nothing to do with the control algorithm. As such you don't need ESCs, motors or propellers to test for gimbal lock: you could modify your code to display your roll, pitch and yaw angles, and test that ... | {
"domain": "robotics.stackexchange",
"id": 981,
"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": "quadcopter, pid, stability",
"url": null
} |
friction
If we approximate the wheel's trajectory as a parabola $y = x^2 / (2 R)$, where $R$ is essentially a "radius of curvature" when the wheel's not perfectly round, then the wheel comes within $y < \lambda$ and then leaves $y < \lambda$ for the $x$ values $-\sqrt{2 R \lambda} < x < \sqrt{2 R \lambda}$, or the dis... | {
"domain": "physics.stackexchange",
"id": 23117,
"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": "friction",
"url": null
} |
c, variant-type
/**
* @brief Set the content of variable to none..
* @param var The variable to set to.
*/
void (*set_none)(dtype* var);
/**
* @brief Set the content of variable to given boolean value..
* @param var The variable to set to..
* @param value The value to set to.
*... | {
"domain": "codereview.stackexchange",
"id": 43900,
"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, variant-type",
"url": null
} |
javascript
Semicolons Sometimes you're using semicolons when proper at the end of statements. Sometimes you aren't. If you forget a semicolon, you may eventually run into a bug due to automatic semicolon insertion. Code style should be consistent; either use semicolons or don't. Unless you're an expert on ASI and can ... | {
"domain": "codereview.stackexchange",
"id": 39475,
"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
} |
quantum-mechanics, general-relativity, gravity, quantum-gravity
You are confusing the binding energy due to the electromagnetic and strong interactions with the possible binding energy due to the gravitational potential of the nucleons in the nucleus and the electrons with the nucleons to form atoms. Certainly the ... | {
"domain": "physics.stackexchange",
"id": 86782,
"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, general-relativity, gravity, quantum-gravity",
"url": null
} |
quantum-field-theory, statistical-mechanics, symmetry-breaking, propagator, classical-field-theory
the imaginary time direction is compact so the Matsubara frequencies are discrete, and you can't get an IR divergence at low Matsubara frequency. But at zero temperature, the imaginary time dimension is infinitely long a... | {
"domain": "physics.stackexchange",
"id": 38019,
"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, statistical-mechanics, symmetry-breaking, propagator, classi... |
Our task becomes finding the Kth (K or K+1, K=(m+n)/2) number in two sorted arrays, in O(log(m+n)) time constraint (what's in your mind to see log? Yes, binary search).
Similar to but slight different from binary search, we still divide K into two halves each time. Two pointers are used for each array, so that we can ... | {
"domain": "blogspot.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9449947117065458,
"lm_q1q2_score": 0.8712112636128935,
"lm_q2_score": 0.9219218402181232,
"openwebmath_perplexity": 7072.821448706967,
"openwebmath_score": 0.3976024091243744,
"tags": n... |
navigation, ros-kinetic, costmap-2d
Then apt-get update and apt-get upgrade can be used to switch you to the OSRF versions. Also note, that you may need to manually install libproj-dev. Hopefully this is a temporary issue that is fixed soon.
UPDATE
As mentioned on this ROS discourse thread, an update to the ROS Kineti... | {
"domain": "robotics.stackexchange",
"id": 35832,
"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, ros-kinetic, costmap-2d",
"url": null
} |
homework-and-exercises, thermodynamics, entropy, reversibility
Title: How do I find the entropy change of the universe for a not-completely-irreversible isothermic expansion? My chemistry professor recently showed this in a presentation explaining thermodynamics. In particular, he used it as a demonstration that globa... | {
"domain": "physics.stackexchange",
"id": 98183,
"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, thermodynamics, entropy, reversibility",
"url": null
} |
particle-physics, rotational-kinematics, degrees-of-freedom
Title: is curvilinear motion really a type of linear motion? Let us consider any arbitrary curve except a straight line in the Cartesian coordinates. From the perspective of the particle tracing the curve the motion can only be linear. But from the point of v... | {
"domain": "physics.stackexchange",
"id": 31254,
"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": "particle-physics, rotational-kinematics, degrees-of-freedom",
"url": null
} |
c#, object-oriented, game, snake-game
public Berry(int screenWidth, int screenHeight)
{
var rand = new Random();
this.Position = GeneratePosition(rand, screenWidth, screenHeight);
}
private int GeneratePosition(Random rand, int screenWidth, int screenHeight)
{
return new Posit... | {
"domain": "codereview.stackexchange",
"id": 40750,
"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#, object-oriented, game, snake-game",
"url": null
} |
urdf
Title: package (need URDF file) for ABB IRB4600-60/2.05? OR What is the way to get .stl files for collision of links of robot (ABB IRB4600)?
I am new to ROS. I am trying to develop the URDF file for ABB IRB4600-60/2.05 robot but i am not understanding how to create collision models (meshes > collision (.stl file... | {
"domain": "robotics.stackexchange",
"id": 27051,
"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": "urdf",
"url": null
} |
you can always find an irrational number. The definition of an irrational number is a number that cannot be written as a ratio of two integers. Yes. In this video, let us learn how to find irrational numbers between any two fractional numbers. We’ve already seen that integers are rational numbers. Similarly, the decima... | {
"domain": "com.br",
"id": null,
"lm_label": "1. Yes\n2. Yes",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9890130554263733,
"lm_q1q2_score": 0.8834946686344102,
"lm_q2_score": 0.8933094096048377,
"openwebmath_perplexity": 396.32674951472035,
"openwebmath_score": 0.7736655473709106,
"tags": null,
... |
general-relativity, lagrangian-formalism, metric-tensor, action, covariance
For General Relativity, there is no obvious way (lacking some symmetry) in which one should split space-time up into space and time, and so it becomes natural to use the Lagrangian density and integrate over all of spacetime rather than trying... | {
"domain": "physics.stackexchange",
"id": 51295,
"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": "general-relativity, lagrangian-formalism, metric-tensor, action, covariance",
"u... |
quantum-field-theory, scattering, feynman-diagrams
... or how to calculate correlation functions without Feynman diagrams, path integrals, operators, canonical quantisation, the interaction picture, field contractions, etc.
Note: we will include operators and Feynman diagrams anyway so that the reader may compare our ... | {
"domain": "physics.stackexchange",
"id": 47648,
"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, scattering, feynman-diagrams",
"url": null
} |
c++, c++11, multithreading, thread-safety, dining-philosophers
std::cout << "Philosopher " << id << " DONE" << std::endl;
}
struct Fork {
std::mutex mux;
};
int numOfEating;
int numOfPhilosophers;
int numAllowed;
int numOfForks;
std::vector<std::thread> threads;
std::vecto... | {
"domain": "codereview.stackexchange",
"id": 11356,
"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, multithreading, thread-safety, dining-philosophers",
"url": null
... |
c++, c++11
While in Lisp, it is encouraged to create new forms of flow control, what about C++? I would also like to see some opinions about template usage, some pointers on how to improve the code and possible corner cases when this code will break. Lisp has an uniform syntax, so it’s possible to create user defined ... | {
"domain": "codereview.stackexchange",
"id": 3885,
"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",
"url": null
} |
entanglement
Title: Creating entangled states via Rydberg blockade I was watching a talk by Prof. Mikhail Lukin and I have a silly question.
In the talk, he discussed that a typical procedure for generating a Bell pair consists of using the Rydberg blockade on two atoms within nearby optical tweezers (assuming that th... | {
"domain": "quantumcomputing.stackexchange",
"id": 5253,
"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",
"url": null
} |
vba, weak-references
VarType(m_fake.remoteVarType) = vbObject
Set Object = m_fake.reference
End If
'
'The fake object is not counted (reference count was never incremented by
' calling the IUnknown::AddRef method) so a crash will occur if the
' Variant type remains as vbObject, because ... | {
"domain": "codereview.stackexchange",
"id": 39304,
"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": "vba, weak-references",
"url": null
} |
electric-current, lattice-model, spin-models
What is the explicit solution of $J_j$ for $k>2$? After a bit of staring at the problem and adding and subtracting quantities in pairs, I've come up with the correct general form for $H_j$ with support on $j,j+1, ..., j+k-1$.
$$J_j = i\sum_{q=1}^{k-1} \sum_{r=0}^{q-1} [h_{j... | {
"domain": "physics.stackexchange",
"id": 84481,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "electric-current, lattice-model, spin-models",
"url": null
} |
python, performance
def output_array(array):
for i in array:
for j in i:
print("%.3f" % j, end=' ')
print()
def _zip(array):
_x = len(array[1])
_temp = []
for i in range(_x):
_temp.append([j[i] for j in array])
return _temp
heights = [[weighted_random() for j i... | {
"domain": "codereview.stackexchange",
"id": 20415,
"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",
"url": null
} |
If $x$ is greater than $4$ the first two distances are greater than $4$ and $2$
If $x$ is less than $0$ we reach the same conclusion with the last two points by symmetry.
If $x$ is between $0$ and $2$ the total distance to $0$ and $2$ is always $2$, and the remaining distance is less than $4$. Similarly by symmetry f... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9732407206952993,
"lm_q1q2_score": 0.8402878847067257,
"lm_q2_score": 0.8633916222765629,
"openwebmath_perplexity": 347.3232245693263,
"openwebmath_score": 0.9369561672210693,
"tag... |
java
No lists are needed for this implementation.
A better name for the function might be periodsOverlap or something like that.
If endPeriod < startPeriod is to be interpreted as two time intervals on the same day then it is still possible to compute the result without using lists, e.g. by recursive calls of the func... | {
"domain": "codereview.stackexchange",
"id": 42287,
"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",
"url": null
} |
Another approach I do like and pheraps more general is the following, using Neumann series
Theorem : If $$H \in L(E)$$ with $$E$$ Banach space and $$\vert \vert H \vert \vert < 1$$ then $$I-H$$ is invertible. Besideds $$\sum\limits_{0}^{\infty}H^j$$ is normally convergent to $$(I-H)^{-1}$$.
Proof : It holds that $$\s... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9783846691281406,
"lm_q1q2_score": 0.8276571059275438,
"lm_q2_score": 0.8459424314825852,
"openwebmath_perplexity": 122.34723770860862,
"openwebmath_score": 0.9496637582778931,
"ta... |
organic-chemistry, reaction-mechanism, isotope
The Br coming out of the page is the 79 isotope while the Br going into the page is the 81 isotope.
There is no mention of reaction conditions.
I am not totally sure what the effect of the isotope will have on bromine's ability to leave. I am guessing that the bromine-... | {
"domain": "chemistry.stackexchange",
"id": 5117,
"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, reaction-mechanism, isotope",
"url": null
} |
c++, reinventing-the-wheel, memory-management
The Single Responsibility Principle - A class should only have a single responsibility, that is, only changes to one part of the software's specification should be able to affect the specification of the class.
The Open–closed Principle - states software entities (classes,... | {
"domain": "codereview.stackexchange",
"id": 43569,
"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++, reinventing-the-wheel, memory-management",
"url": null
} |
first-order-logic
Or the whole reason for defining $N$ was because we can't show the above?
I can't really understand what $N$ was needed for.
Would appreciate help! You are right that $N$ is used in this way. If you want a proof without $N$, you will have to prove in some other way (for example, by sentence inductio... | {
"domain": "cs.stackexchange",
"id": 18537,
"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": "first-order-logic",
"url": null
} |
probability of two independent events and simply multiply $\frac{4}{52}\cdot\frac{4}{52}=\frac{1}{169}$. If the first card drawn was not an ace, the probability of drawing an ace in the second draw is improved to X in 51, but chances for a favorable outcome (pair of aces) has already vanished. Processing. P(red or hear... | {
"domain": "ruffaforni.it",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9859363733699887,
"lm_q1q2_score": 0.8037673728569902,
"lm_q2_score": 0.8152324983301568,
"openwebmath_perplexity": 332.117715582253,
"openwebmath_score": 0.5860807299613953,
"tags... |
newtonian-mechanics, projectile, kinematics
And then there's 3 statements, on of which is; III) The time it takes for the bullet to hit the ground increases as $V_0$ is increased.
Apparently this statement is false.
The lecturer shows a simulator here where a cannon shoots a ball in a air free environment. And when t... | {
"domain": "physics.stackexchange",
"id": 32207,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "newtonian-mechanics, projectile, kinematics",
"url": null
} |
navigation
Title: Need to clear some concepts: AHRS - Attitude - Yaw,Pitch and Roll - MARG sensors -INS it's been while since I started reading about INS, orientation and so for quadrotors .
I faced the following terms : AHRS - Attitude - Yaw,Pitch and Roll - MARG sensors
I know for example how to calculate Yaw,Pitch... | {
"domain": "robotics.stackexchange",
"id": 443,
"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",
"url": null
} |
c, strings, compression
I would have gone with:
result += (1 + log10(cont));
Here the malloc os cast to (char*) this is not required.
char* temp = (char*)malloc(sizeof(char) * digit_len + 1);
The function malloc() returns a void*. This can be assigned to any pointer type in C. Thus removing the need for a cast o... | {
"domain": "codereview.stackexchange",
"id": 28177,
"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, strings, compression",
"url": null
} |
# Proving a metric space on a set X
Assume that $$(X,d)$$ is a metric space, define $$\displaystyle \rho(x,y)= \frac{d(x,y)}{1+d(x,y)}$$ for all $$x,y \in X.$$
a. Show $$(X,\rho)$$ is a metric.
b. A sequence $$(x)_{n \geq}$$ in $$X$$ converges to $$p$$ in the metric space $$(X,d)$$ iff it converges to $$p$$ in $$(X,... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9875683469514965,
"lm_q1q2_score": 0.8374261098207441,
"lm_q2_score": 0.8479677506936879,
"openwebmath_perplexity": 82.34133567385844,
"openwebmath_score": 0.9965757727622986,
"tag... |
java, sorting, collections, guava, jsf
entireList=valueId.sortedCopy(entireList);
}else if(id!=null) {
entireList=id.sortedCopy(entireList);
}else if(value!=null) {
entireList=value.sortedCopy(entireList);
} | {
"domain": "codereview.stackexchange",
"id": 8355,
"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, sorting, collections, guava, jsf",
"url": null
} |
ros-melodic
In this way, I cannot provide velocities SIMULTANEOUSLY to all the four joints. I have a .launch file that loads all these controllers, using the controller_manager pkg. This is the snippet of the controller_manager in my .launch file:
<group ns="Kwad">
..................
<node name="control_spawn... | {
"domain": "robotics.stackexchange",
"id": 33301,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros-melodic",
"url": null
} |
the object as rows of a (possibly non-square) matrix. How much goes into a concrete wall, 500 cm long, 300 cm high and 20 cm wide ? TFAE (the following are equivalent: meaning if anyone of them is true, then so are all of the others): (1)The equation A~x =~b has a unique solution, for any ~b. So here we've got the para... | {
"domain": "elfrenltd.com",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9748211604938802,
"lm_q1q2_score": 0.8102158243337556,
"lm_q2_score": 0.8311430415844384,
"openwebmath_perplexity": 795.754320048608,
"openwebmath_score": 0.7257758975028992,
"tags... |
ros, publisher
Originally posted by JanOr with karma: 170 on 2015-11-09
This answer was ACCEPTED on the original site
Post score: 0 | {
"domain": "robotics.stackexchange",
"id": 22928,
"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, publisher",
"url": null
} |
ros, pid, microcontroller, uwsim
Originally posted by ZYS on ROS Answers with karma: 108 on 2016-03-09
Post score: 1
Hi,
It really depends on what is your goal. If you want a realistic simulation you shouldn't stop the controller as in real life situation you should keep the position (station keeping). But if you wan... | {
"domain": "robotics.stackexchange",
"id": 24051,
"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, pid, microcontroller, uwsim",
"url": null
} |
simulation, shors-algorithm, cirq
Title: ValueError: Operation doesn't satisfy the given `keep` but can't be decomposed I was going through Cirq tutorial on Shor's algorithm and was able to implement it successfully using cirq. But it takes forever to run for any n > 21; so I tried to use the qsim simulator instead of... | {
"domain": "quantumcomputing.stackexchange",
"id": 3863,
"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": "simulation, shors-algorithm, cirq",
"url": null
} |
classical-mechanics
Generically, the linear relation between the position and the force is given by
$$
F = \beta_0 x+ \beta_1 \frac{dx}{dt} + \beta_2 \frac{d^2x}{dt^2} + \beta_3 \frac{d^3x}{dt^3}+\cdots.
$$
The time-reversal symmetry demands that all odd derivatives vanish, $\beta_{2k+1} = 0$ for $k = 0,1,2\cdots$. Th... | {
"domain": "physics.stackexchange",
"id": 11291,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "classical-mechanics",
"url": null
} |
(b) The difference between any two consecutive mid values of weight is 5 kg. The class intervals must of width 5, with 40, 45, … as their mid values.
∴ The class intervals will be 37.5 - 42.5, 42.5 - 47.5, etc. We construct the less than cumulative frequency table as given below:
Weight(in kg) Number of students (f) ... | {
"domain": "shaalaa.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9793540662478147,
"lm_q1q2_score": 0.802965881036401,
"lm_q2_score": 0.8198933447152497,
"openwebmath_perplexity": 1040.0738120091448,
"openwebmath_score": 0.5639068484306335,
"tags": nu... |
spectroscopy, uv-vis-spectroscopy
Title: What interesting things can be seen in spectra between 400-700nm? The visible spectrum (400-700nm) tends to give a very blurry spectral picture, as it is not a wide band relative to the typical peak width of features you can find there. Further, the vibrational modes tend to fa... | {
"domain": "chemistry.stackexchange",
"id": 11873,
"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": "spectroscopy, uv-vis-spectroscopy",
"url": null
} |
php, object-oriented, postgresql, delegates
// Key is zero-based (e.g., $proc = 0, $params = 1).
foreach( func_get_args() as $key => $parameter ) {
// Skip the $proc and $params arguments to this method.
if( $key < 2 ) continue;
$count++;
$placeholders = empty( $placeholders ) ? "?" : "$pl... | {
"domain": "codereview.stackexchange",
"id": 3837,
"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, object-oriented, postgresql, delegates",
"url": null
} |
beginner, comparative-review, swift, ios, core-data
func applicationWillEnterForeground(_ application: UIApplication) {
// Called as part of the transition from the background to the active state; here you can undo many of the changes made on entering the background.
}
func applicationDidBecomeActive(_ applicatio... | {
"domain": "codereview.stackexchange",
"id": 32971,
"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": "beginner, comparative-review, swift, ios, core-data",
"url": null
} |
beginner, rust
}
}
op_stack.push(op1);
}
}
}
prev_val = c;
index+=1;
offset = index;
}
//if end of input was not a ) or some other symbol offset to end of input must be a number. Push this number to output vect... | {
"domain": "codereview.stackexchange",
"id": 44683,
"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": "beginner, rust",
"url": null
} |
of many functions. It first prompts the user to enter the number of terms in the Taylor series and the value of x. You can also redefine the function by typing in the input bar - e. f(x)=sin(x. Maclaurin series coefficients, a k can be calculated using the formula (that comes from the definition of a Taylor series) whe... | {
"domain": "chrangus-gaming.de",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9890130589886011,
"lm_q1q2_score": 0.8325765644104354,
"lm_q2_score": 0.8418256532040708,
"openwebmath_perplexity": 404.9120974626049,
"openwebmath_score": 0.859062135219574,
"tag... |
c#, beginner, winforms
private void TSCalc_LinkClicked(object sender, LinkLabelLinkClickedEventArgs e)
{
try
{
if (unitComboBox.Text == "Mic")
{
Decimal a = Decimal.Parse(frontWtTextBox.Text);
Decimal b = Decimal.Pa... | {
"domain": "codereview.stackexchange",
"id": 40230,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c#, beginner, winforms",
"url": null
} |
navigation, odometry, kinect
Title: Odometry Information Source
Hi,
I'm trying to generate odometry information following this tutorial. I am using a robot like this one - build with phidgets and with a Kinect mounted.
My problem is that I don't have a speed-source for the robot. It does not have a stepper motor or e... | {
"domain": "robotics.stackexchange",
"id": 7969,
"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, odometry, kinect",
"url": null
} |
organic-chemistry, nomenclature
Title: nomenclature of citric acid
I named Citric acid : "3-hydroxypentan-1,3,5-trioic acid"
but when I searched , I found that the right name is "3-carboxy-3-hydroxypentane-1,5-dioic acid"
Can anyone explain to me why my nomenclature is wrong? First you must find the longest chain,... | {
"domain": "chemistry.stackexchange",
"id": 9976,
"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, nomenclature",
"url": null
} |
of functional parameters are very difficult. Another way to prevent getting this page in the future is to use Privacy Pass. If you are at an office or shared network, you can ask the network administrator to run a scan across the network looking for misconfigured or infected devices. The derivative of a function y = f(... | {
"domain": "com.mx",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9773707973303966,
"lm_q1q2_score": 0.8207314614492937,
"lm_q2_score": 0.8397339716830606,
"openwebmath_perplexity": 226.08973867728454,
"openwebmath_score": 0.8623834252357483,
"tags": null,
... |
stability, gyroscopes
Included is the incline plane angle $\gamma$ and gravity $g$, and the rolling radius of the wheel $r$. The no-slip condition is described as $\omega r = \dot{x} \cos \psi + \dot{y} \sin \psi $ (the velocity along the $\psi$ direction).
The equations simplify when I use $\dot{x} = \omega r \cos\ps... | {
"domain": "physics.stackexchange",
"id": 9533,
"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": "stability, gyroscopes",
"url": null
} |
python, recursion
3. Stack of iterators
Alternatively, you could avoid using recursion and instead maintain the current search state using a stack of iterators. Then there's no difficulty: when you find the item you want you can return it immediately.
def get_field_type(mapping, key='type', default='string'):
"""R... | {
"domain": "codereview.stackexchange",
"id": 22175,
"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, recursion",
"url": null
} |
computational-chemistry, density-functional-theory
[1] John P. Perdew, Kieron Burke, and Matthias Ernzerhof, Phys. Rev. Lett. 1996, 77, 3865. DOI: 10.1103/PhysRevLett.77.3865. Mirrored at Burke's page: dft.uci.edu/publications.php
[2] (Erratum) John P. Perdew, Kieron Burke, Matthias Ernzerhof, Phys. Rev. Lett. 1997, 7... | {
"domain": "chemistry.stackexchange",
"id": 11500,
"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": "computational-chemistry, density-functional-theory",
"url": null
} |
reaction-mechanism, kinetics
Title: Determining Rate Law and Reaction Mechanism from Method of Initial Rates
The data collected from using the method of initial rates is tabulated above.
Suggest a rate law and a mechanism consistent with the data. State any assumptions. | {
"domain": "chemistry.stackexchange",
"id": 5105,
"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": "reaction-mechanism, kinetics",
"url": null
} |
python, python-3.x, file-system, web-scraping, selenium
# Acquire the Course Link and Get all the directories
browser = webdriver.Chrome(chrome_options=options)
browser.get(r"https://coursevania.courses.workers.dev/[coursevania.com]%20Udemy%20-%20Master%20the%20Coding%20Interview%20Data%20Structures%20+%20Algorithms/"... | {
"domain": "codereview.stackexchange",
"id": 38170,
"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, file-system, web-scraping, selenium",
"url": null
} |
ros, roslaunch, arduino#ros#raspberry, rosserial-python
All nodes and parameters work, except the last one : port parameter from serial_node is not taken into account. So I get the message :
process[rosout-1]: started with pid [4606]
started core service [/rosout]
process[xbox_joy-2]: started with pid [4610]
process[j... | {
"domain": "robotics.stackexchange",
"id": 27604,
"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, roslaunch, arduino#ros#raspberry, rosserial-python",
"url": null
} |
quantum-field-theory, conformal-field-theory, ads-cft
For the Lorentzian case at non-zero tempertature, the Euclidean results cannot be simply continued due to the analytic structure of the correlators. The complication in the Lorentzian case is that there is no unique solution to the bulk equations of motion only giv... | {
"domain": "physics.stackexchange",
"id": 21620,
"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, conformal-field-theory, ads-cft",
"url": null
} |
gravity, fluid-dynamics
Title: Flames with no gravity? I was watching "Solaris" (Tarkovsky) today, and noticed this: in some moment the space station changed orbit and the people inside experienced zero-gravity. At that moment, a candlestick passed floating in the air, with the candles burning (see).
But in our enviro... | {
"domain": "physics.stackexchange",
"id": 5620,
"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": "gravity, fluid-dynamics",
"url": null
} |
filters, noise, moving-average, averaging, adev
Control Test with White Noise
Below is the experiment above repeated with a white noise test signal, First showing the ADEV:
And then the standard deviation vs block averaging interval:
For completeness of intuition, I include a time series capture below for the white ... | {
"domain": "dsp.stackexchange",
"id": 11926,
"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": "filters, noise, moving-average, averaging, adev",
"url": null
} |
ros, opencv, roslaunch, path, rosrun
img = cvLoadImage(path.c_str(), CV_LOAD_IMAGE_COLOR);
cvNamedWindow("result",CV_WINDOW_AUTOSIZE );
cvShowImage("result", img);
cvWaitKey(0);
cvDestroyWindow("result");
}
And actually the picture appear in the screen.
Hope this will be useful.
Best regards.
Originally post... | {
"domain": "robotics.stackexchange",
"id": 11375,
"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, opencv, roslaunch, path, rosrun",
"url": null
} |
c#, beginner, object-oriented, winforms, playing-cards
_tableNumber++;
break;
}
if (!check)
{
_horizontal = 410;
_vertical = 265;
}
check = true;
if (Holder[turn] == null) return;
Holder[turn].Anchor = AnchorStyles.None;
... | {
"domain": "codereview.stackexchange",
"id": 18928,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c#, beginner, object-oriented, winforms, playing-cards",
"url": null
} |
$$\frac{dT}{dt} = \frac{-1}{\tau} (T-T_{amb}) + \frac{K}{\tau} P$$
where state variable $x = T - T_{amb}$. Comparing the state space model in standard form, we see
\begin{align*} a & = \frac{-1}{\tau} = \fbox{-0.3466 1/min}\\ b & = \frac{K}{\tau} = \fbox{138.6 deg C/kW-min} \end{align*}
In [2]:
# Solution, Part b.
a... | {
"domain": "jupyter.org",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.971992481016635,
"lm_q1q2_score": 0.8374086616755017,
"lm_q2_score": 0.8615382094310357,
"openwebmath_perplexity": 2269.710197156688,
"openwebmath_score": 0.8749575018882751,
"tags": nul... |
java, parsing, floating-point, i18n, finance
return price.toString();
} It seems like you tried to use NumberFormat but gave up on the idea. You should take advantage of it — after all, that's what the standard library is there for.
Furthermore, I would split the parsing and the currency conversion into two separate ... | {
"domain": "codereview.stackexchange",
"id": 5513,
"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, parsing, floating-point, i18n, finance",
"url": null
} |
conformal-field-theory, differential-equations, textbook-erratum
\end{equation}
I can also write this equation as
\begin{equation}
\eta_{\rho\mu} \partial_\nu f = \partial_\nu\partial_{\rho}\epsilon_{\mu} + \partial_\nu\partial_{\mu}\epsilon_{\rho}
\end{equation}
where I imported the structured from $\eta_{\mu\nu} \pa... | {
"domain": "physics.stackexchange",
"id": 95495,
"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": "conformal-field-theory, differential-equations, textbook-erratum",
"url": null
} |
star-formation
Stars are explicitly classified based on their metallicity, and its direct relation to which generation of stars they are part of. This is known as the Baade chemical classification. The first stars to form from primordial gas are confusingly known as Population III. These stars have yet to be observed,... | {
"domain": "astronomy.stackexchange",
"id": 5206,
"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": "star-formation",
"url": null
} |
classical-mechanics, moment-of-inertia
I integrated over hollow spheres was radii from 0 to R and found that their masses were their surface area multiplied by dr. Any help is appreciated. Thank you! Your mistake is in the density. For a homogeneous mass distribution the $r$ you should be writing in the density is the... | {
"domain": "physics.stackexchange",
"id": 64590,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "classical-mechanics, moment-of-inertia",
"url": null
} |
## The correct option is C $$0.34$$Given,There are 7 californian wine glasses and 3 french wine glasses.The probability of selecting French wine glass, $$P(FG)=\frac{3}{10}$$The probability of selecting California wine glass, $$P(CG)=\frac{7}{10}$$ When given french wine,The probability of Dupont to say correctly as fr... | {
"domain": "byjus.com",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9877587257892505,
"lm_q1q2_score": 0.8546326356120997,
"lm_q2_score": 0.8652240808393984,
"openwebmath_perplexity": 7188.401210617611,
"openwebmath_score": 0.6559938788414001,
"tags": ... |
python, performance, beginner, algorithm, programming-challenge
In your code, I am really not sure what you're going for. Both are also big functions with a lot of variables. So I didn't even try to figure out what it does (and it would be the same in a professional code review: if I don't understand at a glance what ... | {
"domain": "codereview.stackexchange",
"id": 38530,
"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, beginner, algorithm, programming-challenge",
"url": null... |
GCC 6
libstdc++ 6
GCC 6.2.1 seems to be problematic on debian/testing — the tests in the testsuite fail. — GCC 6.3.1 or GCC 6.2.0 don’t have any problems.
#### 8.2.2. Required tools and libraries
Other than C++14 compilers, Feel++ requires only a few tools and libraries, namely CMake, Boost C++ libraries and an MP... | {
"domain": "feelpp.org",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9559813538993888,
"lm_q1q2_score": 0.8163246661246598,
"lm_q2_score": 0.8539127492339909,
"openwebmath_perplexity": 13718.21862802429,
"openwebmath_score": 0.26109886169433594,
"tags": nu... |
9. anonymous
1/3 because that is 3/9 in simplest form
10. anonymous
get it or not ?
11. anonymous
i get it
12. anonymous
good
13. anonymous
plus its in simplest form
14. ParthKohli
Required probability is given by the number of ways the letters could be placed such that at least one letter is in its correct ... | {
"domain": "openstudy.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9740426443092214,
"lm_q1q2_score": 0.8116936863377285,
"lm_q2_score": 0.8333245891029456,
"openwebmath_perplexity": 1942.6019287582144,
"openwebmath_score": 0.826802134513855,
"tags": ... |
botany, nutrition, trees, soil, symbiosis
The branches of a tree will only grow so large as can be sustained by their root system, of course. The limited space in which this little sapling has taken root will result in the less than maximal form that you see in the photographs.
So, in conclusion, that spruce will pro... | {
"domain": "biology.stackexchange",
"id": 7044,
"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": "botany, nutrition, trees, soil, symbiosis",
"url": null
} |
pose, posestamped, rospy, nav-msgs, geometry-msgs
Title: Combining Header and Pose to make Posestamped
Hi there,
I am trying to a node that publishes posestampted messages to a topic when a float is the value of 1.0 on a different topic.
Could any of you kind people help me with where I am going wrong? Please find a ... | {
"domain": "robotics.stackexchange",
"id": 20604,
"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": "pose, posestamped, rospy, nav-msgs, geometry-msgs",
"url": null
} |
python, beginner, python-3.x, playing-cards
flushes = [suit for suit in suits if suits.count(suit) == 5]
if len(flushes) < 1:
flush = False
else:
flush = True
if straight == "True" and flush == True:
strength = 8999 + min(vset)
sf = f'{evalname(max(values))}-high straight f... | {
"domain": "codereview.stackexchange",
"id": 33637,
"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, beginner, python-3.x, playing-cards",
"url": null
} |
homework-and-exercises, lagrangian-formalism, constrained-dynamics
Title: Lagrangian of point mass on rod inside ring with holonomic constraint
I am given a massless ring of radius $R$ that is rolling along a flat plane without slipping. There is friction. A massless rod of length $\frac {R} {2} $ is attached to the ... | {
"domain": "physics.stackexchange",
"id": 52445,
"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, constrained-dynamics",
"url": null... |
hilbert-space, quantum-computer, linear-algebra
\end{pmatrix}
=
\frac{1}{\sqrt{2}}
\begin{pmatrix}
1 & 0 & 1 & 0 \\
0 & 1 & 0 & 1 \\
1 & 0 & -1 & 0 \\
0 & 1 & 0 & -1
\end{pmatrix}
$$
where $H_1$ is a one-qubit Hadamard gate in the two-qubit space. The sense of the formula above is simple: applying $H_1$ you mix up the... | {
"domain": "physics.stackexchange",
"id": 69023,
"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": "hilbert-space, quantum-computer, linear-algebra",
"url": null
} |
carburetor
$F_M$ is the fuel/air ratio
Simplification
Simplifying this expression by eliminating variables, abstracting out the constant coefficients $A_l$, $A_g$, and $\rho_l$, and-- most importantly-- noting that the pressure differential $\Delta P_l$ and $\Delta P_g$ are identical (because in the case of the ideal... | {
"domain": "engineering.stackexchange",
"id": 4866,
"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": "carburetor",
"url": null
} |
ros2
Thanks in advance and huge kudos to everyone making Nav2 happen!!
Originally posted by coatwolf on ROS Answers with karma: 13 on 2022-11-21
Post score: 0
I have found this course on YouTube by Articulated Robotics to be extremely helpful in getting things running on a physical robot, not only nav2 but also slam... | {
"domain": "robotics.stackexchange",
"id": 38138,
"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": "ros2",
"url": null
} |
computational-physics, software, second-quantization
1) Obviously something is wrong with my code since answer H3 should be equal to 1 which is not. What I am missing here?
2)Is it possible to create new math rules in matlab? ( I have commutation in mind [A,B]= ) I want to create the above code but do the symbolic ca... | {
"domain": "physics.stackexchange",
"id": 38341,
"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": "computational-physics, software, second-quantization",
"url": null
} |
electrical-engineering, aerospace-engineering, turbines, experimental-physics
Title: What prevents the use of electric engines to assist with spacecraft launches? (Space Shuttle Booster Supplement) Much power is used to get rocket off the platform on the initial launch? Could electric engines used like booster rockets... | {
"domain": "engineering.stackexchange",
"id": 1041,
"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": "electrical-engineering, aerospace-engineering, turbines, experimental-physics",... |
By the Chinese remainder theorem $\mathbf Z/n\mathbf Z$ is a product of more than one (unital) ring if and only if $n$ has more than one prime factor, and in this case $\mathbf Z/n\mathbf Z$ certainly has nontrivial idempotents. If on the other hand $n=p^k$ is a prime power, then all elements are either invertible (if ... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.98028087477309,
"lm_q1q2_score": 0.8534298452679028,
"lm_q2_score": 0.8705972616934406,
"openwebmath_perplexity": 127.81333438849146,
"openwebmath_score": 0.8731086850166321,
"tags... |
ros
## Mark other files for installation (e.g. launch and bag files, etc.)
# install(FILES
# # myfile1
# # myfile2
# DESTINATION ${CATKIN_PACKAGE_SHARE_DESTINATION}
# )
#############
## Testing ##
#############
## Add gtest based cpp test target and link libraries
# catkin_add_gtest(${PROJECT_NAME}-test test/t... | {
"domain": "robotics.stackexchange",
"id": 29537,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros",
"url": null
} |
orbital-motion, friction, rotational-kinematics
BUT: in most cases, sliding friction is a lot smaller than static friction. This means that as soon as you loose contact, the force holding you on the circle drops off very suddenly. For practical purposes it is reasonable to say it is zero. | {
"domain": "physics.stackexchange",
"id": 40620,
"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": "orbital-motion, friction, rotational-kinematics",
"url": null
} |
machine-learning, classification, tensorflow, image-classification, audio-recognition
If you have high quality labels, aligned time-stamps for each event, this is rather straight forward.
A third approach would be to use a combination of a detector model and a classification model. The detector job is to take the inpu... | {
"domain": "datascience.stackexchange",
"id": 9049,
"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, classification, tensorflow, image-classification, audio-recog... |
thermodynamics, nuclear-physics, atmospheric-science, explosions, meteorology
Title: Nuclear bomb mushroom cloud with trumpet formation I have found this specific image here (Loong found out that it is the Soviet Joe 4 test of the 400 kiloton RDS-6 warhead at the Semipalatinsk test site on August 12, 1953):
Also an i... | {
"domain": "physics.stackexchange",
"id": 36446,
"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, nuclear-physics, atmospheric-science, explosions, meteorology",
... |
• First we have the formula for a plane
• Next, we substitute the point on ray formula for the unknown point
• Distribute the dot product
• Subtract pos dot norm from both sides
• Divide both sides by dir dot norm
A few things to keep in mind.
If the ray is parallel to the plane will be 0 and there is no intersection... | {
"domain": "gitbooks.io",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9891815513471368,
"lm_q1q2_score": 0.8465921634608325,
"lm_q2_score": 0.8558511451289037,
"openwebmath_perplexity": 9529.666967247766,
"openwebmath_score": 0.29563435912132263,
"tags... |
time-complexity
Let $t(n)$ be a function where $t(n) > n$. Then every $t(n)$ time nondeterministic single-tape Turing machine has an equivalent $2^{f(n)}$ time deterministic single tape Turing machine, for some function $f(n)$ satisfying $f(n) = O(t(n))$.
This is still somewhat ambiguous, since it’s perhaps not clear... | {
"domain": "cs.stackexchange",
"id": 12574,
"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-complexity",
"url": null
} |
'real-world,' functions are mathematical representations of many input-output situations. Introduction to Exponential Functions. This is important to learn because many things in the real world are represented by an exponential function like growth, decay and interest. The diversity of the processes which are described... | {
"domain": "delleparoleguerriere.it",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9852713891776497,
"lm_q1q2_score": 0.8210508857373975,
"lm_q2_score": 0.8333245994514082,
"openwebmath_perplexity": 529.5259514880022,
"openwebmath_score": 0.47181218862533... |
c++, homework, graph, depth-first-search
alreadyVisited.insert(&node);
std::cout << traversalCount << ": " << node.Name << std::endl;
traversalCount++;
return true;
}
};
Now the graph DFT becomes:
void Graph::DFT(std::string start) {
Vertix* s = getFirstVertex(start);
if (s !=... | {
"domain": "codereview.stackexchange",
"id": 7527,
"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++, homework, graph, depth-first-search",
"url": null
} |
java, game, community-challenge, pathfinding
Title: Racetrack pathfinding and path following Racetrack
The August community challenge is to implement a program that plays the Racetrack game. Each player starts with an integer position on a square grid. On each turn, the current player can accelerate by -1, 0, or 1 uni... | {
"domain": "codereview.stackexchange",
"id": 16173,
"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, game, community-challenge, pathfinding",
"url": null
} |
electromagnetism, induction, inductance, electromagnetic-induction
But the most reasonable approach to take probably by symmetry ends up with $\vec E = 0$ along the central axis of the solenoid, with the increasing $\vec B$-field along the $\hat z$-axis (in cylindrical coordinates $z, \rho, \varphi$) causing some fiel... | {
"domain": "physics.stackexchange",
"id": 33134,
"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, induction, inductance, electromagnetic-induction",
"url": null... |
# How to calculate pooled variance of two or more groups given known group variances, means, and sample sizes?
Say there are $$m+n$$ elements split into two groups ($$m$$ and $$n$$). The variance of the first group is $$\sigma_m^2$$ and the variance of the second group is $$\sigma^2_n$$. The elements themselves are as... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9766692311915195,
"lm_q1q2_score": 0.8117518395194574,
"lm_q2_score": 0.8311430457670241,
"openwebmath_perplexity": 941.1640481282294,
"openwebmath_score": 0.8888400197029114,
"tag... |
### Show Tags
23 Oct 2010, 18:49
1
KUDOS
Explanation:
The number of digits (least) for $$10^n = (n+1)$$ Where, $$n \geq 0$$.
So, The number of digits (least) for $$10^{100}$$ are $$100 + 1 = 101$$
Or, you can see that there are one hundred $$0's$$ followed by $$1$$ (to the right of $$1$$) and the least number of dig... | {
"domain": "gmatclub.com",
"id": null,
"lm_label": "1. Yes\n2. Yes\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 1,
"lm_q1q2_score": 0.8289388104343892,
"lm_q2_score": 0.8289388104343892,
"openwebmath_perplexity": 9608.242635748451,
"openwebmath_score": 0.5557559132575989,
"tags": null,
"url": "... |
Setting the curvature and torsion of a curve $$\gamma$$ to prescribed functions $$\kappa, \tau$$ results in a nonlinear, third-order system in three functions (the components of $$\gamma$$), so for general $$\kappa, \tau$$ one shouldn't expect to find explicit, closed-form solutions $$\gamma$$. | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9835969645988575,
"lm_q1q2_score": 0.8455626573454416,
"lm_q2_score": 0.8596637523076225,
"openwebmath_perplexity": 250.24061568047625,
"openwebmath_score": 0.9725632071495056,
"ta... |
c, enum, macros
static const char* NUMBER_STR[NUMBERS_N] =
{
[ZERO] = "ZERO",
[ONE] = "ONE",
[TWO] = "TWO",
[THREE] = "THREE",
};
puts(NUMBER_STR[1]); // prints ONE
This code is perfectly readable and it maintains the integrity between the enum and the array well. It only has one small problem and that... | {
"domain": "codereview.stackexchange",
"id": 45242,
"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, enum, macros",
"url": null
} |
As Wojowu mentions, this is the rising factorial, defined by:
$$k^{(n)}=k(k+1)(k+2)\cdots(k+n-1)$$
Using product notation you could also write:
$$\prod_{i=0}^{n-1}(k+i)=k(k+1)(k+2)\cdots(k+n-1)$$
And in terms of the factorial:
$$\frac{(k+n-1)!}{(k-1)!}=k(k+1)(k+2)\cdots(k+n-1)$$ | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9715639653084245,
"lm_q1q2_score": 0.8333765778667275,
"lm_q2_score": 0.8577681013541613,
"openwebmath_perplexity": 802.3869193464833,
"openwebmath_score": 0.7614800930023193,
"tag... |
quantum-mechanics, bose-einstein-condensate
Title: Why does the chemical potential show up in the Gross-Pitaevskii equation? In the case of a weakly interacting Bose-Einstein condensate the Gross-Pitaevskii equation is the motion equation that governs the evolution of the N-particle wavefunction. Starting from the Tim... | {
"domain": "physics.stackexchange",
"id": 75325,
"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, bose-einstein-condensate",
"url": null
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.