text stringlengths 49 10.4k | source dict |
|---|---|
quantum-spin, dirac-equation, approximations
There's a related question, but only about Pauli equation, which is simple enough to derive. Let me provide some steps of the derivation here to see where the problem had been.
$$\mathcal{E} \Psi_+ = \frac{\sigma \mathbf{P}}{2m} \left(1- \frac{\mathcal{E}}{2mc^2} \right) \... | {
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"tags": "quantum-spin, dirac-equation, approximations",
"url": null
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You’re supposed to find the derivatives of $2x+1$ and $x+4$ as part of finding the derivative of their product:
\begin{align*} \Big((2x+1)(x+4)\Big)'&=(2x+1)(x+4)'+(x+4)(2x+1)'\\ &=(2x+1)(1)+(x+4)(2)\\ &=(2x+1)+(2x+8)\\ &=4x+9\;. \end{align*}
Note that you can check this by multiplying out the original function to ge... | {
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"lm_q2_score": 0.8558511469672594,
"openwebmath_perplexity": 130.94169983363867,
"openwebmath_score": 0.9787867665290833,
... |
java, game, swing, simon-says
if(!firstStart){
gameOver = false;
}
firstStart = false;
}
}
public void playSound(int i) {
try
{
Clip clip = AudioSystem.getClip();
clip.open(AudioSystem.getAudioInputStream(new File(i+".wav")));
clip.start();
TimeU... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, game, swing, simon-says",
"url": null
} |
human-biology, sleep
Title: Why do people look different after a long sleep? What happens during a long sleep that makes people look odd when they have just woken up? Why doesn't the same phenomenon occur in the case of a person who lies down for an extended period of time, but stays awake? I've noticed that some nigh... | {
"domain": "biology.stackexchange",
"id": 155,
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"tags": "human-biology, sleep",
"url": null
} |
Out[261]= (r$10054 = NestWhile[NextPrime, p$10054,
With[{d = IntegerDigits[#1]}, d != Reverse[d]] &]; | {
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"lm_q2_score": 0.8418256512199033,
"openwebmath_perplexity": 4589.382845517509,
"openwebmath_score": 0.27052566409111023,
"ta... |
logic, induction, coq, coinduction, isabelle
Title: When can the coinduction hypothesis be used? We can use the induction hypothesis when we are proving a property for a structure that is well-ordered. I am aware that there is a proof for this.
When it comes to coinduction, I'm confused.
One of the answers to another ... | {
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"openwebmath_score": null,
"tags": "logic, induction, coq, coinduction, isabelle",
"url": null
} |
superposition
Title: How would I construct an Ising Hamiltonian for binary linear programming? So I am preparing for an exam and stumbled upon this question which I am unable to answer:
The problem Binary Integer Linear Programming tries to find a binary vector $\vec x=(x_1,x_2, ...,x_n)^T$ with $x \in \mathbb{F_2}$ ... | {
"domain": "quantumcomputing.stackexchange",
"id": 934,
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"openwebmath_score": null,
"tags": "superposition",
"url": null
} |
python, scikit-learn, decision-trees, implementation, roc
# Calculating the roc curve for each class changing the pos_label value
fpr_cl0, tpr_cl0, _ = roc_curve(pd.get_dummies(iris_y_test).loc[:, 0], y_test_prob[:, 0])
roc_auc_cl0 = auc(fpr_cl0, tpr_cl0)
fpr_cl1, tpr_cl1, _ = roc_curve(pd.get_dummies(iris_y_test).loc... | {
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"tags": "python, scikit-learn, decision-trees, implementation, roc",
"url": null
} |
gravity, fluid-dynamics, pressure
Title: Swimming in a ball of water in space What would I feel if I went swimming in a ball of water in space? Would I feel greater pressure as I went deeper into the sphere? What would it be like to swim in something like that?
Also, let's say that I don't need air to survive in this ... | {
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"tags": "gravity, fluid-dynamics, pressure",
"url": null
} |
Note:
Currently solveset is not capable of solving the following types of equations:
• Equations solvable by LambertW (Transcendental equation solver).
solve can be used for such cases:
>>> solve(x*exp(x) - 1, x )
[LambertW(1)]
##### In Julia:
julia> solve(x*exp(x) - 1, x )
1-element Vector{Sym}:
W(1)
## Solvi... | {
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"lm_q2_score": 0.8670357615200474,
"openwebmath_perplexity": 13344.07776859491,
"openwebmath_score": 0.6067755222320557,
"tags": n... |
callback, boost, actionlib, actionlib-tutorials, simpleactionclient
R operator()(T * p, A1 a1, A2 a2) const
^
/usr/include/boost/bind/mem_fn_template.hpp:278:7: note: no known conversion for argument 3 from ‘const boost::shared_ptr<const control_msgs::FollowJointTrajectoryResult_<std::allocator<void> > >’ to ‘con... | {
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"id": 19825,
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"lm_q2_score": null,
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"tags": "callback, boost, actionlib, actionlib-tutorials, simpleactionclient",
"url": nu... |
# If multi-collinearity is high, would LASSO coefficients shrink to 0?
Given $x_2 = 2 x_1$, what's the theoretical behavior of LASSO coefficients and why?
Would one of $x_1$ or $x_2$ shrink to $0$ or both of them?
require(glmnet)
x1 = runif(100, 1, 2)
x2 = 2*x1
x_train = cbind(x1, x2)
y = 100*x1 + 100 + runif(1)
rid... | {
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"lm_q1q2_score": 0.8409913084283015,
"lm_q2_score": 0.8652240877899776,
"openwebmath_perplexity": 655.0169655145954,
"openwebmath_score": 0.997706949710846,
"tags... |
quantum-mechanics, spacetime, quantum-entanglement, causality, non-locality
Title: Does quantum entanglement imply the existence of a non-causal structure connecting space-time together? In contrast to a "time-like" or "causal" structure connecting space-time together, Does quantum entanglement imply the existence of ... | {
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"tags": "quantum-mechanics, spacetime, quantum-entanglement, causality, non-locality",
"u... |
c#, object-oriented, snake-game
if (choice2.Checked)
{
if (Player1setting.Gameover == false)
{
Brush SnakeBoddyColor;
for (int i = 0; i < SnakeBoddy.Count; i++)
{
if (i == 0)
... | {
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"tags": "c#, object-oriented, snake-game",
"url": null
} |
ros, velodyne-driver, velodyne
Originally posted by Flowers on ROS Answers with karma: 342 on 2012-06-10
Post score: 1
Original comments
Comment by joq on 2012-06-11:
Is this a problem with putting a ROS workspace some place like /home/username/ros? That works for me. Maybe it should be a separate question, but I won... | {
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"tags": "ros, velodyne-driver, velodyne",
"url": null
} |
simulations, computational-physics, statistics
Then your error is $\sigma/\sqrt{N}$. This is the best estimate to make in your circumstances.
The one thing you have to check is the convergence to a Gaussian. This means that you make sure that the roughness model gives a distribution of intensities where the $sigma$ is... | {
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"tags": "simulations, computational-physics, statistics",
"url": null
} |
quantum-mechanics, correlation-functions, open-quantum-systems
$$J(\omega)=\alpha^2\omega^s\omega_{ph}^{1-s}\frac{\lambda^2}{\omega^2+\lambda^2}$$
With $S = 1$ (Ohmic), $S > 1$ (Super-Ohmic), $S < 1$ (Sub-Ohmic). In Sub-ohmic region, working the integral for $D(\tau)$ in Mathematica gives Hypergeometric function which... | {
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"tags": "quantum-mechanics, correlation-functions, open-quantum-systems",
"url": null
} |
\perp \vec{w_2}$. The the orthogonal complement of S is the set S (2. In Matlab, e. By using this website, you agree to our Cookie Policy. Then byis the point in W closest to y, in the sense that ky byk< ky vk for all v in W distinct from by. ORTHOGONAL PROJECTION MATRICES 31 hold for an arbitrary x. In linear algebra ... | {
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"id": null,
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"lm_q1_score": 0.9830850867332735,
"lm_q1q2_score": 0.8014429047089664,
"lm_q2_score": 0.8152324915965392,
"openwebmath_perplexity": 472.1401612031661,
"openwebmath_score": 0.8669081926345825,
"tags": ... |
python, python-3.x, multithreading, sudoku
q.put(True)
def check_sudoku(grid):
"""
Validate a sudoku solution.
Given a grid as a list of lists, return None if it is ill-formed,
False if it is invalid, or True if it is a valid solution.
"""
assert isinstance(grid, list)
q = queue.Queue()
... | {
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"tags": "python, python-3.x, multithreading, sudoku",
"url": null
} |
gravity, dark-matter, supermassive-black-hole, dark-energy
The plot shows the number of galaxies as a function of luminosity (which correlates with mass). The higher the mass, the fewer the galaxies there are. If all galaxies shared the same baryon-to-DM fraction, they should lie on the red line. But observationally, ... | {
"domain": "astronomy.stackexchange",
"id": 6353,
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"lm_q2_score": null,
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"tags": "gravity, dark-matter, supermassive-black-hole, dark-energy",
"url": null
} |
python, object-oriented, python-3.x, numpy, pandas
An example of this is:
We select a Khorne Berzerker
\$
\begin{array}{l|l|l|l|l}
\textrm{Skill} &
\textrm{S} &
\textrm{T} &
\textrm{W} &
\textrm{Sv} \\
\hline
\text{3+} &
\text{5} &
\text{4} &
\text{1} &
\text{3+} \\
\end{array}
\$
We attack a squad of Khorne Berzerke... | {
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"openwebmath_score": null,
"tags": "python, object-oriented, python-3.x, numpy, pandas",
"url": null
} |
history, autoimmune, diabetes-mellitus
Title: When was it determined that Type 1 Diabetes is an autoimmune disease? I just found out today that type 1 diabetes is an autoimmune disease. When was this discovered? This question has two answers: The difference was first described in 1936 by Harold Percival Himsworth, ... | {
"domain": "biology.stackexchange",
"id": 1637,
"lm_label": null,
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"lm_q1q2_score": null,
"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "history, autoimmune, diabetes-mellitus",
"url": null
} |
optics, visible-light, planets, liquid-state, exoplanets
But If that is the reality and it doesn't absorb visible light at all, then that would mean deep liquid $\rm CO_2$ would just end up appearing slightly blue. Much less than water does though, it would be a much clearer liquid and you would need way more deepness... | {
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"id": 80840,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "optics, visible-light, planets, liquid-state, exoplanets",
"url": null
} |
computability, loops, check-my-answer
Title: Maximum value of LOOP-Program turing-computable Lets consider the class of "simple" LOOP-Programs.
A LOOP-Program P is inducively defined as:
$P_1: x_i = x_j$ and $P_2:x_i = x_i +1$ are LOOP-Programs. We also define a length property $l(P)$ where $l(P_1) = l(P_2) = 1$
P: $... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "computability, loops, check-my-answer",
"url": null
} |
ai-design, image-generation
Title: Rebuild Tiktok Manga/Anime AI model I have a task to build the Tiktok Manga/Anime AI model or the Anime AI model like Snap Edit application.
I have researched and collected several models on Github, but they still are not good enough, like Tiktok or SnapEdit.
These are some models on... | {
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"tags": "ai-design, image-generation",
"url": null
} |
quantum-mechanics, mathematical-physics, operators, hilbert-space
$$\hat\psi_n(k):= \hat \psi_{0}(k- n)$$
Obviously, $\hat\psi_n \in {\cal S}(\mathbb R)$ and translational invariance of the integral implies $||\hat\psi_n||=||\hat\psi_0||=1$. Next, notice that:
$$\frac{||\hat A\hat\psi_n||^2}{||\hat\psi_n||^2} = \int_{... | {
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"tags": "quantum-mechanics, mathematical-physics, operators, hilbert-space",
"url": null
... |
## Digit Problems
1. Use $$3,4,5,6,7,8$$ to make digits between 5,000 & 6,000.
2. 2, 3, 4, 5, 6, 7: 6-digit numbers not divisible by 5
3. 5, 6, 7, 8, 0: Five digit numbers divisible by 4.
4. Make 7-digit numbers using 3, 4, 5, 5, 3, 4, 5, 6, keeping odd digits at odd positions, without using digits more than its frequ... | {
"domain": "statmania.info",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9883127399388854,
"lm_q1q2_score": 0.8080192684745581,
"lm_q2_score": 0.8175744739711883,
"openwebmath_perplexity": 4426.806738987517,
"openwebmath_score": 0.3358200788497925,
"tags":... |
c++, performance, reinventing-the-wheel, queue
for(int i = 0; i < prevSize; i++){
temp[i] = ptr[i];
}
delete[] ptr;
ptr = temp;
}
};
So, as you can test, the program runs fine; but what I'm looking for is how I can optimize my queues to be as efficient as possible. I.E. Is ther... | {
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "c++, performance, reinventing-the-wheel, queue",
"url": null
} |
In the general case, it may be difficult to obtain a closed-form solution (cf. comments by @LutzL). However, it is not so difficult to have qualitative information in the general case, and to compute a closed-form solution in the case $g=0$. This reference solution could be used to validate the numerical method (cf. @c... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9736446494481298,
"lm_q1q2_score": 0.8155441995170604,
"lm_q2_score": 0.8376199673867852,
"openwebmath_perplexity": 258.69108028656615,
"openwebmath_score": 0.7731667160987854,
"ta... |
java, linked-list
for (int i = 0; i < index; i++) {
prev = singly;
singly = singly.getNext();
}
if (singly == null) {
// Append to the tail.
tail.setNext(newNode);
tail = newNode;
} else {
if (singly == head) {
... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, linked-list",
"url": null
} |
# Sketching an inequality in the complex plane
so I have to sketch this inequality on the complex plane,
$$\frac {|z-a|} {|1- \bar az|}<1$$
where $|a| < 1$ is a complex number.
I know typically when there is just $z$'s and $i$'s you replace $z$ with $z=x+iy$ and go from there (squaring both sides, using the modulus... | {
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"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9752018383629826,
"lm_q1q2_score": 0.8327372937311392,
"lm_q2_score": 0.853912760387131,
"openwebmath_perplexity": 232.06527242567512,
"openwebmath_score": 0.9667088985443115,
"tag... |
My question now would be if I could improve on that code, if possible in a way that a beginner could understand.
One thought I already had would be to slice up the Interval from 1 to 1 Million into disjoint subintervals in which Mathematica can do the computation fast and then take the Maximum over all such subinterva... | {
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"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9511422186079557,
"lm_q1q2_score": 0.8121924685720741,
"lm_q2_score": 0.8539127510928476,
"openwebmath_perplexity": 1097.0681523825638,
"openwebmath_score": 0.2987041473388672,
"ta... |
>> Rotate Clockwise Rotate Counterclockwise. 1 0 obj 2 Z1 0 endobj Find: Previous. As time permits I am working on them, however I don't have the amount of free time that I used to so it will take a while before anything shows up here. | {
"domain": "armandomuseum.nl",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9706877675527112,
"lm_q1q2_score": 0.8002951004666345,
"lm_q2_score": 0.8244619199068831,
"openwebmath_perplexity": 775.5800496138639,
"openwebmath_score": 0.8862419724464417,
"... |
All used the same formula to determine the outputs injective and surjective the function we! If implies set B Greek preposition ἐπί meaning over, above,.. The domain is mapped to distinct images in the three preceding examples all the. Is derived from the Greek preposition ἐπί meaning over, above, on and. Not injection... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9843363517478327,
"lm_q1q2_score": 0.8405373584622082,
"lm_q2_score": 0.8539127473751341,
"openwebmath_perplexity": 518.5773486296423,
"openwebmath_score": 0.9288099408149719,
"tags": nul... |
navigation
global_costmap_params.yaml
global_costmap:
global_frame: /map
robot_base_frame: base_link
update_frequency: 2.0
static_map: false (Tried both true & false no improvement)
local_costmap_params.yaml
local_costmap:
global_frame: odom
robot_base_frame: base_link
update_frequency: 5.0
publish_frequency: 2.0
sta... | {
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"openwebmath_score": null,
"tags": "navigation",
"url": null
} |
ruby, file-system, solaris
Title: Need reviews for impacts of dirty bug fix I was having a hard time with bug logstash#665. Hope they will fix it some day, but sparc/solaris support is probably not on top of their priority list. For further reference, original error is:
NotImplementedError: stat.st_dev unsupported or ... | {
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"tags": "ruby, file-system, solaris",
"url": null
} |
ros, publisher, laser-scan
Title: How to publish whole message to a topic?
hello, how can i publish a whole message to a topic?, for example i have Laser Data being published on /lms200 topic, i have made a subscriber node which subscribes to the /lms200 topic which gives me the message in the following format:-
head... | {
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"tags": "ros, publisher, laser-scan",
"url": null
} |
condensed-matter, semiconductor-physics, hamiltonian, graphene, tight-binding
Title: Expanding the Graphene Hamiltonian near Dirac points upto second order term I was trying to solve the Graphene Hamiltonian near the Dirac points upto the second order term for the nearest neighborhood points.
So expanding the function... | {
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... |
18. Jul 14, 2016
### Staff: Mentor
19. Jul 14, 2016
### Vibhor
I meant what I had written in the "The attempt at a solution" .What do you have to say about issue raised in OP?
20. Jul 14, 2016
### Staff: Mentor
Ah, sorry...
You can calculate the force by considering the rate of change of momentum of the air as ... | {
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"openwebmath_score": 0.6873264312744141,
... |
in this browser for the next R... ’ s a Markov matrix ) add three I to a unique eigenvalue ( which you get by multiplying with... X for both matrices same x for both matrices for Kernel which is another name for null of... Matrix and its transpose Improve this article if you find anything incorrect by clicking on the l... | {
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"lm_q1_score": 0.9643214450208031,
"lm_q1q2_score": 0.8157604372951458,
"lm_q2_score": 0.8459424411924673,
"openwebmath_perplexity": 463.276269096186,
"openwebmath_score": 0.785873532295227,
"tags"... |
homework-and-exercises, physical-chemistry, equilibrium
Title: What is the law of mass action? What is the law of mass action? This is a question which covers the area of chemistry. But unfortunately I don't know any sites which can clear my chemistry doubts. So kindly I request anyone to explain the law of mass actio... | {
"domain": "physics.stackexchange",
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"tags": "homework-and-exercises, physical-chemistry, equilibrium",
"url": null
} |
kinetics, temperature
So if you have a system which can undergo first-order and second order reactions (for example, a molecule which has ) and choose your reactant such such that the first order reaction has a more favorable enthalpy and a less favorable entropy than the second order reaction (or vice versa), there w... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "kinetics, temperature",
"url": null
} |
error-correction, stim
error(0.04360252789818236385) D3 D5
error(0.001338700097173320998) D3 D5 D7
error(0.03557524547345392724) D3 D6
error(0.02676856776605827937) D3 D6 D7
error(0.03432845639209641808) D3 D7
error(0.002673815958446297981) D3 D7 D9
error(0.03997966359665833247) D3 D9
error(0.1662642703886834938) D4
e... | {
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"openwebmath_score": null,
"tags": "error-correction, stim",
"url": null
} |
python, python-3.x, game, dice
### This rolls the dice 5 times for the players, and then adds up the total. If the scores are equal, it starts a tie breaker and determines the winner off that ###
for i in range(1,5):
Player1Points += roll()
print('After this round ',user1, 'you now have: ',Player1Points,' Poi... | {
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"tags": "python, python-3.x, game, dice",
"url": null
} |
statistics
without further information, your question cannot be completely answered. Important aspects that you need to understand are e.g. stationarity and ergodicity. Your assumption of "noise has zero-mean in any interval" is very much related to a stationary process. Ergodicity, as an extension then means that you... | {
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"tags": "statistics",
"url": null
} |
c, unit-testing, linked-list
init_node( &new_node, value );
prev_node->next = new_node;
new_node->next = cur_node;
if( !cur_node ) {
/* new tail node, end of list */
list->tail = new_node;
}
}
node* find( llist* list, int value ) {
node* tmp = list->head;
while( tmp != NULL &&... | {
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"openwebmath_score": null,
"tags": "c, unit-testing, linked-list",
"url": null
} |
# How many numbers made out of 5 distinct digits contain 4 and are even
This is an exercise from a book on combinatorics and I can't seem to wrap my head around it: How many numbers are there, made out of 5 distinct digits, which contain '4' and are even. The answer according to the book is 7686.
I distinguished some... | {
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"openwebmath_score": 0.8338431119918823,
"ta... |
Step 2
Our base $100$ has two zeros. Therefore, right side of the answer has two digits and that can be obtained by taking the square of the deviation.
Hence, right side of the answer $=12^2=144.$ But right side of the answer can have only two digits because our base $100$ has only two zeros. Hence, from the obtained... | {
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"lm_q1q2_score": 0.8132188809417246,
"lm_q2_score": 0.824461932846258,
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"openwebmath_score": 0.7334739565849304,
"tags":... |
• How did you arrive at $|r|^2-|r|^2|u|^2=|s|^2|u|^2$? – Mussé Redi Feb 7 '17 at 19:47
• @MusséRedi By replacing $\left| t\right|^2$ with $1-\left| u\right|^2$. – J.G. Feb 7 '17 at 19:49
• The claim in the question is correct. You cannot multiply whole matrix by $e^{it}$ if $t$ is not a multiple of $2n\pi$, because tha... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9843363526668351,
"lm_q1q2_score": 0.8159546114866018,
"lm_q2_score": 0.8289388167733099,
"openwebmath_perplexity": 419.33158986987274,
"openwebmath_score": 1.0000096559524536,
"ta... |
quantum-field-theory, supersymmetry, fermions, grassmann-numbers, superalgebra
Title: How are supersymmetry transformations even defined? I am just starting to read about supersymmetry for the first time, and there is something bothering me. Supersymmetry transformations transform between bosonic fields and fermionic ... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "quantum-field-theory, supersymmetry, fermions, grassmann-numbers, superalgebra",
... |
thermodynamics, heat, everyday-life
Title: Why is my tupperware sealed after heating it up in the microwave? I had a vegetable soup in a crystal tupperware and I put it in the microwave to heat it up.
The funny thing is that when I took it out, it was impossible to open it up. The lid is bent towards the inside, as if... | {
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"id": 1632,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "thermodynamics, heat, everyday-life",
"url": null
} |
energy, waves
Title: Energy and Power of a Wave: Kinetic Energy Derivation Question Regarding sin function
I was following along my Physics textbook for the derivation of the kinetic energy associated with a wavelength of the wave, but
$\frac{1}{4k}sin(2k\lambda)$
disappeared at the end of the equation. Why would it ... | {
"domain": "physics.stackexchange",
"id": 70960,
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"lm_name": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "energy, waves",
"url": null
} |
syntax
Title: What kind of error are these? I was following a discussion on a forum where a person has asked whether the following generates lexical errors or not,
(1) char p="gate;
(2) int /* n;
(3) printf("%d, n);
When I tried to run them on my CPP compiler I got these errors respectively for the following 1, 2 an... | {
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"tags": "syntax",
"url": null
} |
c#, unit-testing, xml, api
public Show GetResult() {
return _show;
}
}
private class EpisodeBuilder {
private XDocument _doc;
public EpisodeBuilder(XDocument doc) {
_doc = doc;
}
public List<Episode> BuildEpi... | {
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"tags": "c#, unit-testing, xml, api",
"url": null
} |
c, linked-list, file-system, hash-map
Don't use raw fscanf
The code that reads in a word is currently this:
while(fscanf(dict, "%s", dword) != EOF)
However, what happens if the word is longer than the allocated space? The result is a classic buffer overrun. You can easily prevent it using the length modifier:
while... | {
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"tags": "c, linked-list, file-system, hash-map",
"url": null
} |
renormalization, field-theory, regularization
&= m^{2}_{r} + m^{2}_{r} \tilde{\lambda} \text{log} \left( \dfrac{\Lambda^{2}}{\mu^{2}} \right) \\ &\,\,\,\,\, - m^{2}_{r} \tilde{\lambda} \text{log} \left( \dfrac{m^{2}_{r} + m^{2}_{r} \tilde{\lambda} \text{log} \left( \dfrac{\Lambda^{2}}{\mu^{2}} \right)- \tilde{\lambda}... | {
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"tags": "renormalization, field-theory, regularization",
"url": null
} |
ros, publisher
Originally posted by dornhege with karma: 31395 on 2013-06-24
This answer was ACCEPTED on the original site
Post score: 10
Original comments
Comment by Philip on 2013-06-24:
Ah, thanks for the hint about getNumSubscribers! I wasn't aware of that :-)
Comment by aschaefer on 2018-12-05:
In case you run i... | {
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"tags": "ros, publisher",
"url": null
} |
ros, kinect, turtlebot, gmapping-demo, icreate
[ WARN] [1341768088.274151997]: Could not get robot pose, cancelling reconfiguration
...
Basically, after I run roslaunch turtlebot_navigation gmapping_demo.launch connection with iCreate and power board with gyro brakes and I can't receive current robot position. Turtle... | {
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"openwebmath_perplexity": null,
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"tags": "ros, kinect, turtlebot, gmapping-demo, icreate",
"url": null
} |
# Norm on Vector Space is Continuous Function
It has been suggested that this page or section be merged into Norm is Continuous. (Discuss)
## Theorem
Let $V$ be a vector space with norm $\norm {\, \cdot \,}$.
The function $\norm {\, \cdot \,}: V \to \R$ is continuous.
## Proof
Let $x_n \to x$ in $V$.
We have:
... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9828232935032462,
"lm_q1q2_score": 0.8035312459296706,
"lm_q2_score": 0.8175744828610095,
"openwebmath_perplexity": 681.3923341596985,
"openwebmath_score": 0.9832322001457214,
"tags": ... |
$$0\le \sum_{n=1}^N(a_n+|a_n|)\le \sum_{n=1}^N2|a_n| \tag 2$$
The sequence of partial sums $S_N=\sum_{n=1}^N(a_n+|a_n|)$ in $(2)$ is monotonically increasing and bounded above by $\sum_{n=1}^\infty 2|a_n|$. Therefore, $S_N$ converges.
Finally, we can write
$$\sum_{n=1}^N a_n=\sum_{n=1}^N (a_n+|a_n|)-\sum_{n=1}^N |a_... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9833429619433693,
"lm_q1q2_score": 0.8278033215060169,
"lm_q2_score": 0.8418256432832333,
"openwebmath_perplexity": 361.95261131685135,
"openwebmath_score": 0.9621434807777405,
"ta... |
c++, strings, search
Here is how the functions looks like now:
void findRepeatedSubsequences(const Index<>& index, size_t max_repetitions, bool strong_repetition_count = true)
{
std::vector<index_t> adjacent_matches(index.size());
for (size_t repetitions = 2 ; repetitions <= max_repetitions; ++repetitions) {
... | {
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"openwebmath_score": null,
"tags": "c++, strings, search",
"url": null
} |
c, strings, parsing
if (line[0] != NULL) is not guaranteed to work as desired. NULL need not have the value of 0. Only that (void*)NULL compares equally to 0. Besides NULL is best used in a pointer context and line[0] is a char, not pointer.
Use if (line[0]) or if (line[0] != '\0') as commented by @Joop Eggen
Good ... | {
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"tags": "c, strings, parsing",
"url": null
} |
acid-base, equilibrium, kinetics
Title: Formation Constants; Lewis Acidity I still distinctly remember reading about how Lewis acidity/basicity was characterized using kinetics. The reason given was that because formation constants are so large, these reactions are not equilibrium reactions and completion reactions. S... | {
"domain": "chemistry.stackexchange",
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"openwebmath_score": null,
"tags": "acid-base, equilibrium, kinetics",
"url": null
} |
human-biology, physiology, human-anatomy, brain, anatomy
Title: Ipsilateral vs contralateral side of body I know that the dorsal columns carry ipsilateral information. Is this fact relative to the dorsal column in question?
If I want to talk about the right dorsal column, then the right side of the body would be cons... | {
"domain": "biology.stackexchange",
"id": 8084,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "human-biology, physiology, human-anatomy, brain, anatomy",
"url": null
} |
java, performance, object-oriented, event-handling
return user;
}
private LotteryUser getUserBasedOnNotificationEvent(EventObject event) {
LotteryUser user = null;
if (event instanceof UserReceivedBonusMoneyEvent) {
user = ((UserReceivedBonusMoneyEvent) event).getLotteryUser();
} else if (event ... | {
"domain": "codereview.stackexchange",
"id": 25531,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, performance, object-oriented, event-handling",
"url": null
} |
c++, performance, beginner, mathematics
case 2:
poly.functionValue(poly);
break;
case 3:
poly.functionZero(poly);
break;
case 4:
exitProgram();
break;
}
}
void skipToMenu() {
... | {
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"openwebmath_score": null,
"tags": "c++, performance, beginner, mathematics",
"url": null
} |
general-relativity, differential-geometry, differentiation, commutator, vector-fields
Commutator operating on a vector field $\vec{\mathit{c}}\left[\mathcal{P}\right]$
As we see, the operation of $\left[\nabla_\vec{\mathit{a}},\nabla_\vec{\mathit{b}}\right]$ on a scalar field involves the same operations, performed in... | {
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"tags": "general-relativity, differential-geometry, differentiation, commutator, vector-fie... |
ros
Original comments
Comment by matlabbe on 2023-03-24:
To use stereo with lidar, you should use subscribe_rgbd=true, otherwise the node won't subscribe to scan. When the node is subscribed to scan, by default it should use the scan for occupancy grid.
Comment by Devin1126 on 2023-03-25:
I changed the parameter subsc... | {
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"tags": "ros",
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quantum-field-theory, integration, propagator
Because of this fact, you can make your life easier by picking $\vec{r} = ( 0, 0, r )$ (notice that $|( 0, 0, r )| = r$ is still true). If you plug this into the first integral you get
$$
\int \frac{d^3 \vec{p}}{(2\pi)^3 } \frac{1}{2 E_p} e^{- i \vec{p} \cdot \vec{r}} \ = ... | {
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"tags": "quantum-field-theory, integration, propagator",
"url": null
} |
ros, lidar, urg-node, ros-kinetic, hokuyo-node
Comment by kasptom on 2019-05-22:
@KevinNickels, there is a typo in the repo clone link, should be:
git clone https://github.com/ros-drivers/urg_c.git
You will need to install and compile driver_base from sources too
git clone https://github.com/ros-drivers/driver_common... | {
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ros, shadow-robot, collision-detection
torque:
x: 4.27054304811e-05
y: -0.0203223290465
z: 0.0088621716556
-
force:
x: 0.680392560856
y: 0.357548214436
z: -0.783138309864
torque:
x: 0.00600982609405
y: -0.01407396... | {
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"tags": "ros, shadow-robot, collision-detection",
"url": null
} |
# How to prove $\sqrt {75025} + \sqrt {121393} + \sqrt {196418} + \sqrt{317811} \approx \sqrt {514229} + \sqrt {832040}$?
Let $$a = \sqrt {75025} + \sqrt {121393} + \sqrt {196418} + \sqrt{317811}$$ and $$b = \sqrt {514229} + \sqrt {832040}$$. By using SageMath we can see that $$a - b \approx 2.95301560981898 \cdot 10^... | {
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"lm_q1_score": 0.9802808730448281,
"lm_q1q2_score": 0.837074335323206,
"lm_q2_score": 0.8539127492339909,
"openwebmath_perplexity": 353.1343658112748,
"openwebmath_score": 0.9631635546684265,
"tags... |
biochemistry, enzymes, enzyme-kinetics
Title: The effect of 3D structure and solubility of the binding site of enzyme on its affinity Km and maximum activity Vmax? Could some one provide me with some resources or papers where I can read more about the following:
1- How can the 3D structure of an enzyme affect its Km a... | {
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"id": 6307,
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"openwebmath_score": null,
"tags": "biochemistry, enzymes, enzyme-kinetics",
"url": null
} |
MAT 142 3.4 Basics of Probability Theory
# MAT 142 3.4 Basics of Probability Theory
398.3k points
1. A jar of M&Ms contains 12 brown candies, 4 yellow candies, 2 blue candies, 5 red candies, 3
green candies and 4 orange candies. You select one at random. Find the probability that you
select one that is:
a. Brown
... | {
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"id": null,
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9706877700966098,
"lm_q1q2_score": 0.8685611854293863,
"lm_q2_score": 0.8947894597898776,
"openwebmath_perplexity": 13696.614726358517,
"openwebmath_score": 0.47939369082450867,
"tags":... |
Figure shows a pendulum of length $L$ with a bob of mass $M$. The bob is attached to a spring that has a force constant $k$. When the bob is directly below the pendulum support, the spring is unstressed.
(a) Derive an expression for the period of this oscillating system for small amplitude vibrations.
(b) Suppose tha... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9871787872422175,
"lm_q1q2_score": 0.8226403572497651,
"lm_q2_score": 0.8333245891029457,
"openwebmath_perplexity": 553.956733167186,
"openwebmath_score": 0.8573803305625916,
"tags": n... |
organic-chemistry, inorganic-chemistry, bond, molecular-orbital-theory, resonance
It happens most often when 1) the metal is electron rich, 2) the ligand has low-lying $\pi^{\ast}$ orbitals and 3) the metal has available a $\mathrm{d}$ orbital with the proper symmetry to overlap constructively with the carbon monoxide... | {
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"id": 1458,
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"tags": "organic-chemistry, inorganic-chemistry, bond, molecular-orbital-theory, resonance... |
c++, algorithm, dynamic-programming
return max_val;
}
int main() {
cout<<"ans "<<rod(5)<<endl;
//cout<<"ans "<<rod(3)<<endl;
//for(int i = 0; i <5; i++)
// cout<<rodMax[i]<<" ";
}
```
Use a consistent code style. Code style is a very important thing. It doesn't matter which one you choose, but any ... | {
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"tags": "c++, algorithm, dynamic-programming",
"url": null
} |
kalman-filters, derivative
% Equation (12) in [Yu2004]
P_prior(:, :, k) = A * P0 * A' + W * Q * W';
else
% Equation (15) in [Yu2004]
X_prior(k, :) = f(X_posterior((k - 1), :)');
A = dfdx(X_posterior((k - 1), :)');
W = dfdw(X_posterior((k - 1), :)');
% Equation (12) in [Yu2004]
P_prior(:,... | {
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"openwebmath_score": null,
"tags": "kalman-filters, derivative",
"url": null
} |
ros
Title: Occupancy grid map from zed stereo camera
I am trying to create 2d Occupancy grid from zed stereo camera .I referred this tutorial http://wiki.ros.org/rtabmap_ros/Tutorials/StereoOutdoorMapping for doing so.But I am unable recreate it since here its given from bumblebee2 stereo camera to OGM.Also it subsc... | {
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"id": 28370,
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"openwebmath_score": null,
"tags": "ros",
"url": null
} |
java, performance, programming-challenge, fibonacci-sequence
Title: Project Euler 25 - 1000-digit Fibonacci Number I have recently completed problem 25 from the project Euler site.
The Fibonacci sequence is defined by the recurrence relation:
\$\qquad F_n = F_{n−1} + F_{n−2}\$, where \$F_1 = 1\$ and \$F_2 = 1\$.
Henc... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, performance, programming-challenge, fibonacci-sequence",
"url": null
} |
ros, ros-melodic
Title: Autoware - Vehicle Interface Documentation?
I am planning on implementing a vehicle interface to allow Autoware to control a vehicle my university owns. Based on the diagram from: https://github.com/autowarefoundation/autoware/pull/1945 it looks like the Autoware autonomy will publish an auto... | {
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"id": 33924,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "ros, ros-melodic",
"url": null
} |
cc.complexity-theory, automata-theory, space-bounded, space-complexity
Title: Quadratic relationship between nondeterministic and deterministic space? Savitch's theorem shows that $\mathrm{NSPACE}(f(n)) \subseteq \mathrm{DSPACE}(f(n)^2)$ for all large enough functions $f$, and proving that this is tight has been an op... | {
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"id": 3949,
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"tags": "cc.complexity-theory, automata-theory, space-bounded, space-complexity",
"url": ... |
machine-learning, python, pandas
Title: Unable to successfully merge dataframes in pandas along labels I have two different dataframes, they both share the same labels, "Country" and "Year", I am trying to merge these together as one by these two columns.
This is my code:
joined = pd.merge(left = df, right = df1, on =... | {
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"lm_q2_score": null,
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"tags": "machine-learning, python, pandas",
"url": null
} |
classification
Title: Classification when one class is other I am working on a litigation support application using the Enron corpus, which contains about 600,000 unique text documents.
In litigation, one is often concerned with whether a document is responsive or non-responsive. One produces responsive documents to t... | {
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"id": 503,
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"tags": "classification",
"url": null
} |
algorithms, regular-languages, optimization
$q = (\Sigma^*, \mathcal{L})$
$r = (\Sigma^*a, \Sigma + \mathcal{L})$
$s = (\Sigma^*aa, \epsilon + \Sigma + \mathcal{L})$
$t = (\mathcal{L}, \epsilon + \mathcal{L}) $ As suggested in the comments to the question, I will try to give an (unfortunately partial) answer to the qu... | {
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"tags": "algorithms, regular-languages, optimization",
"url": null
} |
java, javafx
The logic in getFileNameFromPath() will break if you get anything fancier than a space in your filenames: you might get other URL-encoded characters, so better to use URLDecoder for that, and then use File.getName() to extract the filename:
String cleanPath = java.net.URLDecoder.decode(filePath,"UTF-8");
... | {
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"tags": "java, javafx",
"url": null
} |
homework-and-exercises, conformal-field-theory, correlation-functions, propagator, ghosts
Title: Compute the generating functional for the $bc$ theory I need the generating functional for the $bc$ CFT, which has $$L=\frac{1}{2\pi}(b\bar{\partial}c + b\partial\bar{c}),$$ so I can compute the correlation function $$\lan... | {
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"id": 87077,
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"tags": "homework-and-exercises, conformal-field-theory, correlation-functions, propagator,... |
javascript, jquery
Concerning the signature of fncCreateButton: the left and top arguments do not respect the button symmetry. I would probably choose the arc center as the reference point. It would simplify the caller code and possibly also the callee code. The amount of responsibilities of this function seems accept... | {
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"tags": "javascript, jquery",
"url": null
} |
we continue 1. using Primes 2. 3. function getBigestFactors{T}(a::T,b::T) 4. c=T() 5. for k in keys(a) 6. c[k]=max(a[k],b[k]) 7. end 8. for k in keys(b) 9. c[k]=max(a[k],b[k]) 10. end 11. c 12. end 13. 14. superfactors=reduce(getBigestFactors,map(factor,BigInt.(1:100))) 15. 16. n=prodfactors(superfactors) Julia can be ... | {
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"lm_q1_score": 0.9566341975270266,
"lm_q1q2_score": 0.801295907272528,
"lm_q2_score": 0.8376199694135332,
"openwebmath_perplexity": 3432.438822461333,
"openwebmath_score": 0.379818856716156,
"tags... |
Perhaps a more transparent way: "change of variables". Let $B = A + (c-1) I$, or $A = B - (c-1) I$. Then $0 = A^2 + c A + c I = (B - (c-1) I)^2 + c (B - (c-1) I) + c I= B^2 + (2-c) B + I$. Multiply by $B^{-1}$ to get $B + (2-c) I + B^{-1} = 0$, i.e. $B^{-1} = -B + (c-2) I$ or $(A + (c-1) I)^{-1} = -A - (c-1) I + (c-2) ... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9744347905312772,
"lm_q1q2_score": 0.8550439064837531,
"lm_q2_score": 0.8774767842777551,
"openwebmath_perplexity": 148.3672097283174,
"openwebmath_score": 0.9218217730522156,
"tag... |
vectors, mathematics, geometry
Title: Will it be $\vec{AB}+\vec{AC}=\vec{AD}$ or $\vec{AB}-\vec{AC}=\vec{AD}$?
The resultant of $\vec{AB}$ and $\vec{AC}$ is $\vec{AD}$. Now, which of the following is correct?
$$\vec{AB}+\vec{AC}=\vec{AD}\tag{1}$$
$$\vec{AB}-\vec{AC}=\vec{AD}\tag{2}$$
I think $(1)$ is correct. (1) is ... | {
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"openwebmath_score": null,
"tags": "vectors, mathematics, geometry",
"url": null
} |
quantum-state, bloch-sphere
Title: Finding the polar and azimuthal angles of the Bloch vector corresponding to $\frac1{\sqrt2}(1-i)|0\rangle-\frac i{\sqrt2}|1\rangle$ I need to find the polar angles and azimuthal angles of the following bloch vector:
$$
\frac{1-i}{2}|0\rangle - \frac{i}{\sqrt{2}}|1\rangle
$$
I just co... | {
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"tags": "quantum-state, bloch-sphere",
"url": null
} |
complexity-theory, computability
We now show that $H_2$ is $\Sigma_1^0$-complete by reduction from $H_1$. Given an instance $(\langle M \rangle, x)$, we construct (in a computable way) a new machine $M_x$ that first initializes the tape $x$, and then transfers control to $M$. Clearly $(\langle M \rangle, x) \in H_1$ i... | {
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"tags": "complexity-theory, computability",
"url": null
} |
complexity-theory, graphs, computability, reductions, np
I can not see how the reduction works and leads to a solution in Clique. In terms of runtime, I can not calculate it, it seems complex.
Maybe the correct answer is 4, but I'm not sure why, it just seems very complex. The reduction from $Clique \leq_P SubsetSum$ ... | {
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"tags": "complexity-theory, graphs, computability, reductions, np",
"url": null
} |
software
Title: How to delete everything but a specific ligand from a PDB file using Linux-compatible free software? I would like to delete everything from a PDB file except a specific ligand that I know the PDB code for. Is there a simple way to using free Linux-compatible software? If you want a specific example for... | {
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"id": 16360,
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"openwebmath_score": null,
"tags": "software",
"url": null
} |
python, python-3.x, recursion
print(get_total_distance(best_path))
print('\n')
print('\ndone')
print("Started =", started)
print("Ended =", ended)
if __name__ == '__main__':
main() Criticisms
Datatypes
Your data types own data they should not own. A Brewery has an identity, a location, and a s... | {
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"openwebmath_score": null,
"tags": "python, python-3.x, recursion",
"url": null
} |
java, beginner, image
with include defined as
public void include(T value) {
min = Math.min(min, value);
max = Math.max(max, value);
}
You can also save some multiplications by storing the values for later use:
float rotatedX2X = xmaxOrigine * cos;
float rotatedY2X = ymaxOrigine * sin;
float rota... | {
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"tags": "java, beginner, image",
"url": null
} |
specific-reference, synchrotron-radiation, free-electron-lasers
Title: free electron laser. Reference? Where can I find a comparison graph of the peak power of free electron lasers and synchrotrons ? A similar graph is shown in chapter four, on page 76, of Controlling the Quantum World: The Science of Atoms, Molecule... | {
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"tags": "specific-reference, synchrotron-radiation, free-electron-lasers",
"url": null
} |
If the year is $$19ab$$ then that has a value of $$1900 + 10a +b$$.
You can create two equations:
First $$P=2017-(1900+10a+b) \Rightarrow P=117-10a-b$$
Then $$P=1 + 9 + a + b \Rightarrow P=10+a+b$$
Combining those gives $$10+a+b=117-10a-b$$
$$2b=107-11a$$
$$b=\frac{107-11a}2$$
For this to work, $$a$$ must be odd... | {
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"lm_q2_score": 0.8128673155708975,
"openwebmath_perplexity": 170.00235013704645,
"openwebmath_score": 0.8365938067436218,
"ta... |
homework-and-exercises, newtonian-mechanics, newtonian-gravity, units, dimensional-analysis
So you see, we are not talking about exactly 1 or 2 dimensional objects (which should have a density of 0) but of situations in which only one or two dimensions of the object in question matter.
In the case of an infinite plane... | {
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"tags": "homework-and-exercises, newtonian-mechanics, newtonian-gravity, units, dimensional... |
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