text stringlengths 49 10.4k | source dict |
|---|---|
ros, transforms, tf-tutorial, tf2
geometry_msgs::Twist vel_msg;
vel_msg.angular.z = 4.0 * atan2(transform1.getOrigin().y()-transform2.getOrigin().y(),
transform1.getOrigin().x()-transform2.getOrigin().x());
vel_msg.linear.x = 0.5 * sqrt(pow(transform1.getOrigin().x()-transform2.getOrig... | {
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"tags": "ros, transforms, tf-tutorial, tf2",
"url": null
} |
ros-kinetic, ubuntu, ubuntu-xenial
[ 98%] Linking CXX executable /home/pi/catkin_ws/devel/lib/rosserial_server/udp_socket_node
[ 98%] Linking CXX executable /home/pi/catkin_ws/devel/lib/rosserial_server/socket_node
[ 98%] Built target rosserial_server_udp_socket_node
[ 98%] Built target rosserial_server_socket_node
Ma... | {
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"tags": "ros-kinetic, ubuntu, ubuntu-xenial",
"url": null
} |
c++, reinventing-the-wheel, c++17, template, vectors
template<class T>
typename vector<T>::const_iterator vector<T>::cend() const {
return end();
}
template<class T>
size_t vector<T>::size() const {
return _size;
}
template<class T>
size_t vector<T>::capacity() const {
... | {
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"tags": "c++, reinventing-the-wheel, c++17, template, vectors",
"url": null
} |
computability, turing-machines
Now if $(\langle M\rangle, x)\in HP$, then $M$ will halt on $x$ and so $M'$ will accept any string of length 4, so $M'\in 4LENGTH$.
On the other hand, if $(\langle M\rangle, x)\notin HP$, then $M$ will never halt on $x$ and so $M'$ will never get to the return accept statement and so wil... | {
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"openwebmath_score": null,
"tags": "computability, turing-machines",
"url": null
} |
thermodynamics
There remain two problems with how this problem was posed.
Firstly, it has to be defined how the outermost layers (left AND right) lose heat to the environment. E.g. if we assume heat loss by convection then the heat loss would be given by ($n$ being the outermost layer):
$$h_n A_n(T_n-T_{\infty})\tag{3... | {
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"tags": "thermodynamics",
"url": null
} |
discussed in Microscopes. This equation also gives the angular spreading of a source of light having a diameter $$D$$. Take, for example, a laser beam made of rays as parallel as possible (angles between rays as close to θ=0ºθ=0º size 12{θ=0°} {} as possible) instead spreads out at an angle θ=1.22λ/Dθ=1.22λ/D... | {
"domain": "regama.cz",
"id": null,
"lm_label": "1. Yes\n2. Yes",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9777138105645059,
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"lm_q2_score": 0.8221891327004132,
"openwebmath_perplexity": 1314.4206843920902,
"openwebmath_score": 0.4772098958492279,
"tags": nul... |
$$ar + b(y_0+aq)=a(r+bq)+by=ax_0+by_0=n$$
So there is a solution $(x,y)=(r,y_0+aq)$ with $0\leq r=x\leq b-1.$
Theorem: If $a,b$ are relatively prime positive integers, then for each integer $n$, there is a non-negative integer solution to at least on of the equations $ax+by=n$ or to $ax+by=ab-a-b-n.$
(There is a str... | {
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"openwebmath_perplexity": 126.75373779884261,
"openwebmath_score": 0.9282228946685791,
"ta... |
c#, .net, finance, delegates
private static readonly IDictionary<char, int> intervalMap =
new Dictionary<char, int>
{
{ 'D', 1 },
{ 'W', 7 },
{ 'M', 30 },
{ 'Q', 90 },
{ 'S', 182 },
{ 'A', 365 }
};
private static IEnum... | {
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"tags": "c#, .net, finance, delegates",
"url": null
} |
ios, swift, abstract-factory, uikit
Title: Factory pattern for image or shape marker I'm making a photo marker application and need to make a factory pattern for marker. I think it is not very flexible and overall not good.
Would you check my code and suggest what could be improved?
import Foundation
enum MarkerType:... | {
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"tags": "ios, swift, abstract-factory, uikit",
"url": null
} |
Inverse DFT is defined as: N -1 1 x ( n) = N å X ( k )e k =0 j 2pnk / N for 0 £ n £ N - 1. Normal images such as straw, wood, sand and grass are used in the analysis. 分数阶傅里叶变换（fractional fourier transform） matlab代码. Dct vs dft Dct vs dft. Discrete Fourier Transform See section 14. Explain the effect of zero padding a s... | {
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"lm_q1_score": 0.981735721648143,
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"lm_q2_score": 0.8840392878563336,
"openwebmath_perplexity": 1078.9064028815767,
"openwebmath_score": 0.8407778143882751,
"... |
particle-physics, astrophysics, fusion
Title: How can fusion within the sun be possible if there is no such thing as helium-2 (2 protons, no neutrons) As stated in the question where does the sun(or other star) get the necessary neutron in order to produce the Helium atom? and how does this process occur (explain how ... | {
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"tags": "particle-physics, astrophysics, fusion",
"url": null
} |
Simplify $\left(\frac{s^4}{t^7}\right)^4$
Solution
\begin{align*} \left(\frac{s^4}{t^7}\right)^4\amp=\frac{(s^4)^4}{(t^7)^4}\\ \amp=\frac{s^{16}}{t^{28}} \end{align*}
One of the great things about the rules of exponents is that when multiple rules have to be applied, the rules can be applied in any order you like. So... | {
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"lm_q2_score": 0.8080672066194946,
"openwebmath_perplexity": 2712.929790240768,
"openwebmath_score": 0.999919056892395,
"tags": null,
... |
inorganic-chemistry, bond, coordination-compounds, hybridization, valence-bond-theory
Title: How can the hybridisation schemes of transition metal complexes be determined? Lets say I have to find hybridisation of $\ce{[Ni(CO)_4]}$ and $\ce{[Ni(CN)_4]^{2-}}$.
The metal atom/ion in these compounds are $\rm Ni$ and $\rm ... | {
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"tags": "inorganic-chemistry, bond, coordination-compounds, hybridization, valence-bond-th... |
Any particular sequence made up of $3$ A's, $2$ B's, and $1$ C has probability $a^3b^2c^1$. There are $\dbinom{6}{3}\dbinom{3}{2}$ such sequences, so our probability is $$\binom{6}{3}\binom{3}{2}a^3b^2c^1.$$ In the case of your question, we have $a=b=c=\dfrac{1}{3}$.
The same basic strategy can be used for any similar... | {
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"lm_q1_score": 0.9840936068886642,
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"lm_q2_score": 0.8311430436757313,
"openwebmath_perplexity": 95.5075005430139,
"openwebmath_score": 0.9050689935684204,
"tags"... |
beginner, ruby, caesar-cipher
Title: Caesar Cipher encryptor using ASCII I have built a Caesar Cipher in Ruby that utilizes ASCII for the encryption. I am not sure whether or not this was the best way to go about the task but this way made the most sense to me. Please give me any feedback that comes to mind.
puts 'Ple... | {
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"tags": "beginner, ruby, caesar-cipher",
"url": null
} |
homework-and-exercises, electrostatics, electric-fields, vector-fields, calculus
= - \frac{4 \pi a^2}{a^2} + \frac{4 \pi b^2}{b^2} =0.
$$
The above argument then makes it plausible, at least, that the divergence of this vector field is zero at points other than the origin. | {
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"tags": "homework-and-exercises, electrostatics, electric-fields, vector-fields, calculus",... |
star, orbit, exoplanet, kepler
Title: How do astronomers determine the texture of an exoplanet? So I was wondering how astronomers are able to get the texture/detail of an exoplanet or how they know a planet has water or not. I know how they discover planets by using the light of a star and seeing if it gets faint or... | {
"domain": "astronomy.stackexchange",
"id": 934,
"lm_label": null,
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"openwebmath_score": null,
"tags": "star, orbit, exoplanet, kepler",
"url": null
} |
python, game
self.hand[commodity] = 0
return market
def make_move(self, market, winner):
# move = int(input('0: Take, 1: Sell. Choose move..'))
move = random.randint(0, 1)
new_market = market
if move == 0:
new_market = self.take(market)
elif move == 1:
... | {
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} |
thermodynamics, notation, differentiation
And finally, to follow up on one of your specific questions:
From Blundell and Blundell: $\Delta f=\int_{x_i}^{x_f}\mathrm df=f(x_f)-f(x_i)$
This may or may not be the case, depending on the dimensionality you're working in.
If you're working in 1D, i.e. if $x$ is a single ... | {
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"tags": "thermodynamics, notation, differentiation",
"url": null
} |
performance, beginner, c, palindrome
In C, this is known as a parameter type list and defines that the function takes zero arguments (and also communicates that when reading it) - like with all cases where the function is declared using a parameter type list, which is called a prototype. If the caller calls the func... | {
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"tags": "performance, beginner, c, palindrome",
"url": null
} |
\usepackage{amsmath, amsthm, amssymb, mathtools, thmtools, unicode-math}
\begin{document}
\begin{equation*}
\begin{split}
|\mu|(B):=\sup\Bigg\{&\sum_{i=1}^k|\mu(B_i)|:k\in\mathbb N\text{ and}\\
&B_1,\ldots,B_k\in\mathcal E\text{ are disjoint with }\biguplus_{i=1}^kB_i\subseteq B\Bigg\}
\end{split}
\end{equation*}
\end... | {
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"openwebmath_score": 0.9427701234817505,
"ta... |
python, performance, python-3.x
'Baked Meat/0/13/17/0/600', 'Baked Roast/4/13/8/7/900', 'Huckleberry Pie/9/5/4/16/1300', 'Meat Pie/7/11/11/5/1300', 'Basic Salad/13/6/6/13/800', 'Simmered Meat/6/18/13/5/900', 'Vegetable Medley/9/5/8/20/900', 'Vegetable Soup/12/4/7/19/1200', 'Crispy Bacon/0/18/26/0/600', 'Stuffed Turkey... | {
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"openwebmath_score": null,
"tags": "python, performance, python-3.x",
"url": null
} |
c#, object-oriented, interview-questions, chess
while (!board.IsGameOver())
{
Console.WriteLine("white player move");
board.PositionPiece(whitePlayer.GetPieceAtLocation(1, 0), new Position(2, 0));
if (board.IsGameOver())
{
... | {
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"tags": "c#, object-oriented, interview-questions, chess",
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} |
# Math Help - help
1. ## help
mr.lopez needs 3/4 kg of apples to make a pie.how many pies can he make if he uses 20 kg of apples?
name a fraction that is between 1/2 and 1/3....?
which of the following fractions is closest to one?
a)2/3 b)3/4 c)4/5 d)5/6
three pizzas were evenly shared among some friends. if each ... | {
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"lm_q1_score": 0.9799765610497293,
"lm_q1q2_score": 0.8496747356659007,
"lm_q2_score": 0.8670357735451834,
"openwebmath_perplexity": 1364.1423206533134,
"openwebmath_score": 0.9169811606407166,
... |
# Proof of usual topology on $\mathbb{C}$
I want to show that
Let $\mathcal{T}$ be the set of all open sets in $\mathbb{C}$. Then:
• $\emptyset \in \mathcal{T}$ und $\mathbb{C} \in \mathcal{T}$
• For arbitrary many $U_i \in \mathcal{T}$ is: $(\bigcup_{i \in \mathcal{I}} U_i) \in \mathcal {T}$
• For finitely many $... | {
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"lm_q2_score": 0.8354835289107309,
"openwebmath_perplexity": 79.8767713796871,
"openwebmath_score": 0.9635888338088989,
"tags... |
pointcloud
pub.publish(*cloud_filtered);
pcl::PointCloud< pcl::PointXYZ> cloud;
pcl::fromPCLPointCloud2(*cloud_filtered, cloud);
pcl::ModelCoefficients::Ptr coefficients (new pcl::ModelCoefficients);
pcl::PointIndices::Ptr inliers (new pcl::PointIndices);
// Create the segmentation object
... | {
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"id": 20519,
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"openwebmath_score": null,
"tags": "pointcloud",
"url": null
} |
2-d heat equation. R8VEC_LINSPACE creates a vector of linearly spaced values. Diffusion in a plane sheet 44 5. MATLAB Need help on Last Post; Mar 2, 2018; 2. As a familiar theme, the solution to the heat. Numerical methods 137 9. 36 A-8010 Graz Austria,. FD2D_HEAT_STEADY solves the steady 2D heat equation. The 2D wave ... | {
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"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.983085084750966,
"lm_q1q2_score": 0.8105162248859401,
"lm_q2_score": 0.8244619285331332,
"openwebmath_perplexity": 1051.4848435190763,
"openwebmath_score": 0.7282814979553223... |
node.js, typescript, adventure-game
if (!actions.find((a) => action === a))
return null;
return new Command(action, args);
}
export const execute = (command: Command, receiver: Player) => {
switch (command.action) {
case 'go':
const success = receiver.move(command.args[0]);
... | {
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"openwebmath_score": null,
"tags": "node.js, typescript, adventure-game",
"url": null
} |
energy, condensed-matter, surface-tension, soft-matter
$$
so that $\rho(x)=\rho_{\ell}$ or $\rho_g$ corresponds to $\phi(x)=\pm\phi_0$.
In this way the mathematics of solving the
simplified problem becomes equivalent to solving one with more realistic densities.
Typically in density functional theory, which is based ... | {
"domain": "physics.stackexchange",
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "energy, condensed-matter, surface-tension, soft-matter",
"url": null
} |
c#, wpf
canvas_main.Children.Add(canvas_room);
Canvas.SetLeft(canvas_room, 0);
Canvas.SetTop(canvas_room, 0);
Border border_room = new Border();
border_room.BorderBrush = Brushes.Red;
border_room.BorderThickness = new Thickness(2);
border_room.Height = room.getHeigth();... | {
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"openwebmath_score": null,
"tags": "c#, wpf",
"url": null
} |
is the big application of derivatives, to locate a maximum or a minimum, and to decide which one it is. Topic: Applications of Derivatives • Find the maximum or minimum value of a function in an optimization problem by finding its critical points and applying the second derivative test. (4 Credits) Differential calculu... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9896718496130618,
"lm_q1q2_score": 0.8526401097215335,
"lm_q2_score": 0.8615382058759129,
"openwebmath_perplexity": 557.6241134805659,
"openwebmath_score": 0.44554403424263,
... |
homework-and-exercises, quantum-field-theory, operators, hamiltonian, fourier-transform
Title: Show that $i/2m\int d^3\vec x\hat\pi(\vec x)\partial^2_i\hat\phi(\vec x)=1/(2\pi)^3\int d^3\vec p E(\vec p)\hat a(\vec p)^\dagger\hat a(\vec p)$ Show that the quantum field for the Hamiltonian, $$\hat H=\frac{i}{2m}\int d^3 ... | {
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"id": 98621,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "homework-and-exercises, quantum-field-theory, operators, hamiltonian, fourier-tran... |
ros, ros2, ros-melodic, camera, camera-info
Title: Is there a topic for camera FOV info?
Hi,
I'd like to publish info about the field of view of a camera, but I cannot find a standard topic for this information.
Before creating a custom topic I want to be sure that there is nothing just ready for it.
Thank you
Walter... | {
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"tags": "ros, ros2, ros-melodic, camera, camera-info",
"url": null
} |
newtonian-mechanics, classical-mechanics, angular-momentum, momentum, conservation-laws
vector to the center of the box. You could make your estimate arbitrarily accurate by increasing your distance.
Conservation of angular momentum from this far origin point would imply that linear momentum was arbitrarily close to b... | {
"domain": "physics.stackexchange",
"id": 90788,
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"openwebmath_score": null,
"tags": "newtonian-mechanics, classical-mechanics, angular-momentum, momentum, conservation... |
simulation, surface-code, tensor-networks
Title: Framework for PEPS of Surface Code I am reading this article about the implementation of Surface Code with noise in PEPS tensor network.
I am looking for a framework/library (preferred python) that is the nearest for such an implementation, any suggestions?
Why is this... | {
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"tags": "simulation, surface-code, tensor-networks",
"url": null
} |
moveit
Title: Virtual Joint as part of planning group in moveit!
Hi all,
I got my own robot into moveit! and added a planar virtual joint between my robots' base_link and odom like described in the PR2 tutorial. I created a group called 'complete' containing this virtual joint and the arm and would like moveit! to pl... | {
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Then
\eqalignno{ αx & = α\left ({α}_{1}{u}_{1} + {α}_{2}{u}_{2} + {α}_{3}{u}_{3} + \mathrel{⋯} + {α}_{t}{u}_{t}\right ) & & & & \cr & = α({α}_{1}{u}_{1}) + α({α}_{2}{u}_{2}) + α({α}_{3}{u}_{3}) + \mathrel{⋯} + α({α}_{t}{u}_{t}) & &\text{@(a href="fcla-jsmath-2.30li37.html#property.DVA")Property DVA@(/a)} & & & & \cr &... | {
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"tags": null,... |
scikit-learn, pandas
Title: How to perform one hot encoding on multiple categorical columns I am trying to perform one-hot encoding on some categorical columns. From the tutorial I am following, I am supposed to do LabelEncoding before One hot encoding. I have successfully performed the labelencoding as shown below
#c... | {
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"tags": "scikit-learn, pandas",
"url": null
} |
gazebo, kinect, turtlebot, gazebo-plugins, pr2
/camera/rgb/image_rect/theora/parameter_descriptions
/camera/rgb/image_rect/theora/parameter_updates
/camera/rgb/image_rect_color
/camera/rgb/image_rect_color/compressed
/camera/rgb/image_rect_color/compressed/parameter_descriptions
/camera/rgb/image_rect_color/compressed... | {
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"tags": "gazebo, kinect, turtlebot, gazebo-plugins, pr2",
"url": null
} |
organic-chemistry, nomenclature
(All images taken from Wikipedia; all D-isomers.)
In the order of reading these are allose, altrose, glucose, mannose, gulose, idose, galactose and talose. If you compare glucose (3rd in the first row) with galactose (3rd in the second row) you will realise that they differ only in the ... | {
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"tags": "organic-chemistry, nomenclature",
"url": null
} |
python, datetime, serialization, compression
day = extract(data, 5)
data >>= 5
month = extract(data, 4)
data >>= 4
year = extract(data, 5)
data >>= 5
Do you have any suggestions to improve this code? Weird limits
I have absolutely no idea of what date is "the 12th of June at 24 hour 60 minutes", yet you consider it... | {
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"tags": "python, datetime, serialization, compression",
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} |
general-relativity, spacetime, curvature, dark-matter
The main reason your proposed mechanism for DM is not possible or relevant is that is does not explain how DM is different than regular matter. Your explanation holds equally if it was normal matter. First, your proposed early universe high curvature that could hav... | {
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"tags": "general-relativity, spacetime, curvature, dark-matter",
"url": null
} |
evolution, genetics, natural-selection
Genetic Adaptation During Lifetime of a multicellular organism
For a beginner in evolutionary biology, saying that a multicellular individual's genome does not change during its lifetime might be considered satisfying. In reality it is slightly more complicated. Two elements that... | {
"domain": "biology.stackexchange",
"id": 1977,
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"tags": "evolution, genetics, natural-selection",
"url": null
} |
For a strongly connected graph (or component), we desire for any vertices $x,y$ in the graph (component) there exists a directed path from $x$ to $y$.
Remember that a directed path from $v_0$ to $v_k$ is a subgraph $P=(V,E)$ where $V=\{v_0,v_1,v_2,\dots,v_k\}$ and $E=\{v_0v_1,v_1v_2,v_2v_3,\dots,v_{k-1}v_k\}$ and each ... | {
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"openwebmath_score": 0.7777073383331299,
"ta... |
c#, unit-testing, moq, fluent-assertions
public PropertyBagComposite(IEnumerable<IPropertyBag> propertyBags)
{
Require.NotNull(propertyBags, "propertyBags");
this.propertyBags = propertyBags;
}
public object PropertyGet(string propertyName)
{
object result = null;
fore... | {
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"tags": "c#, unit-testing, moq, fluent-assertions",
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} |
coding-theory, error-correcting-codes, hamming-code
Title: How to pick Hamming distance Wikipedia's article Cyclic redundancy check states that for the same n (bits) there are multiple CRCs possible with different polynomial. Then it lists this Best CRC Polynomials article that gives some variations with different pol... | {
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"tags": "coding-theory, error-correcting-codes, hamming-code",
"url": null
} |
microcontroller
Title: Beaglebone Black power draw What is the minimum amount of power that a beaglebone needs to start up? This would be with no peripherals attached besides host usb. The getting started guide claims that it can run off of a computer's usb power, but makes no mention of how many amps are actually n... | {
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"id": 204,
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"tags": "microcontroller",
"url": null
} |
c#, object-oriented, game, .net, playing-cards
Something like:
if (HandPower = other.HandPower)
{
return HandPower.CompareTo(other.HandPower);
}
if (CardSuit != other.CardSuit)
{
return HandPower.CompareTo(other.HandPower);
}
if (Kicker == null || other.Kicker == null)
{
return Convert.ToInt32(Kicker != nu... | {
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} |
acid-base, ph
Edit: Managed to complete. For those who are interested in how I had done it in the end:
$$\ce{pH}-\ce{pK_\mathrm{a}} = \log\left(\frac{\alpha}{1-\alpha}\right)$$
$$10^{pH-pK_\mathrm{a}} = \left(\frac{\alpha}{1-\alpha}\right)$$
$$10^{pH-pK_\mathrm{a}} - (\alpha 10^{pH-pK_a}) = \alpha$$
$$10^{pH-pK_a} = \... | {
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"tags": "acid-base, ph",
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} |
quantum-field-theory, gauge-theory, group-theory, group-representations, lie-algebra
My problem is: I only known the linear representation of ${ T }_{ a }$ is Pauli spin matrix from text book, but they are the set of 2-dimension matrixes, In above expression, I need to know the 4-dimension matrix of ${ T }_{ a }$ beca... | {
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Find the points of intersection between the two curves. 3-dimensional space. (θ) Find the area of R. First find the points of intersection. Know how to compute the slope of the tangent line to a polar curve at a given point. Find the area between the folium of Descartes and its asymptote x+y = ¡1, as shown in the flgure... | {
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"id": null,
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"lm_q2_score": 0.8244619328462579,
"openwebmath_perplexity": 490.98177478940477,
"openwebmath_score": 0.8563680648803711,
"tag... |
time, dimensional-analysis, quantum-computer, adiabatic
Title: What are the units of time in the Quantum Adiabatic Theorem? To preface my question, I'm coming to adiabatic quantum computing from a background in classical computer science with little knowledge of quantum physics, so simple, step-by-step explanations or... | {
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"tags": "time, dimensional-analysis, quantum-computer, adiabatic",
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python, beginner, python-3.x, email, reddit
time.sleep(300) My main comment is that you should separate the different concerns of you code into descriptive functions. This will make it a lot more readable (and re-usable).
One comment before I get started:
Your login function, which looks like it would log you in with ... | {
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openi-tracker, ubuntu-precise, ubuntu, ros-fuerte
Title: Openni_tracker crashes with a segmentation fault (core dumped)
Any idea on what is causing it ? It is running on Ubuntu 12.04 LTS, ROS Fuerte and an intel graphics card.
gbd run output :
(gdb) run
Starting program: /opt/ros/fuerte/stacks/openni_tracker... | {
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"tags": "openi-tracker, ubuntu-precise, ubuntu, ros-fuerte",
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} |
star, universe
Title: How can 'HD 140283' be older than the universe? Scientists have known about the star HD 140283, informally nicknamed the Methuselah star, for more than 100 years, since it cruises across the sky at a relatively rapid clip. The star moves at about 800,000 mph (1.3 million km/h) and travels the wid... | {
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"tags": "star, universe",
"url": null
} |
quantum-chemistry, molecular-orbital-theory, molecular-structure, nuclear, molecular-mechanics
Title: Molecular Hamiltonian of Helium hydride ion Currently, I am going through Quantum Simulation of Helium Hydride Cation in a Solid-State Spin Register. I am not a chemist but rather a computer scientist hence having tro... | {
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# Congruence Problem
Given $a,m \in\mathbb{N}$ with $gcd(a,m)=1$, let $x_1\in\mathbb{N}$ be a solution to the congruence $ax\equiv1\pmod m$. For each integer $k\ge1$, number is defined as $x_k:=\frac{1}{a}(1-(1-ax_1)^k]$.
Prove that $x_k$ is a solution to the congruence $ax\equiv1\pmod {m^k}$
I tried induction, for ... | {
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"openwebmath_score": 0.9123439788818359,
"tags... |
ros, gazebo, c++, service
make and run:
make
./bin/example
Output:
$ ./bin/example
[ INFO] [1329941615.597042253]: BRILLIANT!!!
[ INFO] [1329941615.597092973]: 0.000000
Originally posted by hsu with karma: 5780 on 2012-02-08
This answer was ACCEPTED on the original site
Post score: 6
Original comments
Comment by P... | {
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"url": null
} |
graph-theory, co.combinatorics, parameterized-complexity, graph-classes
But in a planar graph in which all vertices belong to k faces, one can remove another O(k) edges (a spanning tree of the faces) to get an outerplanar graph. So the treewidth of G' is O(genus). If one forms a tree-decomposition of G' with this widt... | {
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"tags": "graph-theory, co.combinatorics, parameterized-complexity, graph-classes",
"url": ... |
c++, array, iterator, collections
MDynArray(T* arr, size_type* sizes, size_type rowsize, bool ownarr,
const Allocator& alloc)
: MSubArray<T, dims, Allocator>(arr, sizes, rowsize),
ownarr(ownarr), alloc(alloc) {}
public:
// copy/move ctors and assignment (rule of 5)
... | {
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"tags": "c++, array, iterator, collections",
"url": null
} |
the-sun, space-telescope, artificial-satellite, solar-flare, x-ray
Title: Any active solar X-ray imager in orbit? NOAA GOES-14 & 15 went very recently in storage mode. With those also went the solar X-ray imagers (SXI), as GOES-16 & 17 do not have such instruments on board. Hence, my question:
Are there still any acti... | {
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"tags": "the-sun, space-telescope, artificial-satellite, solar-flare, x-ray",
"url": nul... |
general-relativity, special-relativity
G=(8πG/c^4) T
$$
Here $G$ is the curvature tensor of space-time, $T$ is the energy-momentum density tensor and $G$ and $c$ are constants.
It struck me that the book does not tell about a similar development in the interpretation of this equation of general relativity as for that ... | {
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Since green and red tend to $0$, also blue...
• Yes I have heard of sandwich rule, how would one go about justifying if the limit exits first, (and then obviously evaluating it). – UniStuffz May 18 '16 at 9:25
• I elaborated a bit, see above. Does that help? Existence follows from being sandwiched between two that exi... | {
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"openwebmath_perplexity": 279.4957960684502,
"openwebmath_score": 0.9260128736495972,
"tag... |
statistical-mechanics
Title: what molecule would have molar entropy $R \ln 2$ at $0K$? I was browsing my friends old notes and I came across the following problem that I am not sure if it's correct.
Q. Prove that the molar entropy of CO of $0K$ would be $R \ln 2$.
Here, it is considered that the thermodynamic probab... | {
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"tags": "statistical-mechanics",
"url": null
} |
python, impulse-response
Title: How to find impulse response of the input signal in Python? I had to read input .wav audio file first, then add Gaussian white noise to the input audio signal and I've finished that part. Now I have to add a channel model whose impulse response is:
h[n] = [−0.015, 0.058, −0.350, 1.000, ... | {
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"tags": "python, impulse-response",
"url": null
} |
answer: Note: you can still access the old version here. Unlike most of the other apps, this app is featured with both "Quadratic Formula" and "Completing the square" methods. Specify the variable to solve for and solve the quadratic equation for a. Sa = solve(eqn,a) Sa = -c + b x x 2-(c + b*x)/x^2. Instantly solves th... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9843363494503271,
"lm_q1q2_score": 0.8001348437653729,
"lm_q2_score": 0.8128673133042217,
"openwebmath_perplexity": 542.961297589405,
"openwebmath_score": 0.637150764465332,
"tags":... |
4. With $$g$$ defined as above, setting $$z:=g(x,y)$$ so that $$z$$ explicitly depends on $$x$$ and $$y:$$ $$z=x^2+y^2.$$ This equation is satisfied by the paraboloid $$\{(x,y,x^2+y^2)\mid (x,y)\in\mathbb R^2\}$$.
5. Notice that while every $$(x,y)$$ combination can be found on the paraboloid, only those that satisfy ... | {
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"openwebmath_score": 0.8719115853309631,
"tags... |
fluid-dynamics, continuum-mechanics
Title: What's the use of defining a streamline? Streamlines by definition are field lines corresponding to the velocity field.
when bringing the equation of streamlines we apply the condition that says that the velocity is collinear with the streamline.
what defines the streamline ... | {
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"tags": "fluid-dynamics, continuum-mechanics",
"url": null
} |
homework-and-exercises, rotational-kinematics, software
Title: How to find angular velocity of rotated objects in 3D I am trying to obtain equation for angular velocity of rotated object in 3d.
I started with defining yaw, pitch and roll angles. Then I wrote rotation matrices from these angles. As I understand it I s... | {
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"openwebmath_score": null,
"tags": "homework-and-exercises, rotational-kinematics, software",
"url": null
} |
c#, sql, asp.net, database
Title: C# Method to determine database status I have a task that I am trying to complete and would appreciate direction, to know which is the most efficient path to take for future requirements.
Use Case: A background process that determines if a specific database is broken. This task will b... | {
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"openwebmath_score": null,
"tags": "c#, sql, asp.net, database",
"url": null
} |
statistical-mechanics, ideal-gas, fermions, chemical-potential
$$n_{\rm h}\left(T\right)=\int_{-\infty}^{0}{\rm d}\epsilon D\left(\epsilon\right)f_{\rm h}\left(\epsilon\right)=\int_{0}^{\infty}{\rm d}\epsilon D\left(-\epsilon\right)f_{\rm h}\left(-\epsilon\right)$$
at all temperatures. Here $D\left(\epsilon\right)$ is... | {
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"openwebmath_score": null,
"tags": "statistical-mechanics, ideal-gas, fermions, chemical-potential",
"url": null
} |
c++, base64, openssl
Title: Converting to and from Base64 using OpenSSL API I am trying to get a working and good version of base64 conversions using OpenSSL. My alternatives were an implementation from an answer on SO and Boost (which I didn't chose because I read that is pretty broken).
I will need OpenSSL in my pro... | {
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"openwebmath_score": null,
"tags": "c++, base64, openssl",
"url": null
} |
The sum of the digits of $n$ is some number, let's call it $m$, and this number is assumed to be divisible by $3$. Now, if we're lucky, the sum of digits in $n+3$ is just $m+3$, and by lucky I mean there is no carry involved. So, if there is no carry involved in adding $3$ to $n$, then we are done.
If there is a carry... | {
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"openwebmath_perplexity": 300.8521751326438,
"openwebmath_score": 0.8290954828262329,
"tags": ... |
### Show Tags
30 Jun 2018, 18:53
12/(.6x)=12/x+4
20=12+4x
x=2
24/2
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4277
Location: United States (CA)
Re: When the price of oranges is lowered by 40%, 4 more oranges [#permalink]
### Show Tags
04 Jul 2018... | {
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"lm_q2_score": 0.5,
"openwebmath_perplexity": 8349.440753982046,
"openwebmath_score": 0.2509140968322754,
"tags": null,
"url"... |
homework-and-exercises, thermodynamics, fluid-dynamics, adiabatic, shock-waves
Its said that $c$ is a thermodynamic property and once its derived by any process it can be used for any other process which may or may not be same.
I think they are implying that consistency is key. That is, once you define a form for yo... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "homework-and-exercises, thermodynamics, fluid-dynamics, adiabatic, shock-waves",
... |
special-relativity, metric-tensor, inertial-frames, lorentz-symmetry
Title: Why does the Minkowski metric in special relativity not change under a Lorentz transformation? If the metric is a (0,2)-tensor then it transforms twice covariently under a basis transformation, but in special relativity the metric seems to be ... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "special-relativity, metric-tensor, inertial-frames, lorentz-symmetry",
"url": nu... |
biochemistry, structural-biology
This looks complicated, but its not. you move the probe sphere along the surface of the molecule in the XY plane until it just touches the vdW radius of the protein, keeping the center of the sphere as the surface, all the way around the molecule. If you like, you can color the surfa... | {
"domain": "biology.stackexchange",
"id": 927,
"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": "biochemistry, structural-biology",
"url": null
} |
quantum-gravity, loop-quantum-gravity
$$ {p,q} \rightarrow \{\pi_{ab},q^{ab}\} := \{k_{ab},h^{ab}\} $$
This procedure is generally referred to as canonical quantization. It can also be shown that $ k_{ab} = \mathcal{L}_t h_{ab} $, where $ \mathcal{L}_t $ is the Lie derivative along the time-like vector normal to $M$. ... | {
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"id": 398,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "quantum-gravity, loop-quantum-gravity",
"url": null
} |
quantum-spin, operators, poincare-symmetry
$$
following:
$$
\hat {W}_{\lambda}\hat {W}^{\lambda} = \frac{1}{4}\varepsilon_{\lambda \alpha \beta \gamma }\hat {J}_{\alpha \beta}\hat {P}_{\gamma }\varepsilon^{\lambda \mu \nu \sigma}\hat {J}_{\mu \nu}\hat {P}_{\sigma} = -\varepsilon_{\alpha \beta \gamma \lambda}\varepsilo... | {
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"id": 8965,
"lm_label": null,
"lm_name": null,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "quantum-spin, operators, poincare-symmetry",
"url": null
} |
ros, joint, velocity, position, rqt
Edit:
how can i plot velocity of fixed joint ??
There is no entry in any of the arrays in a JointState message for fixed joints. Again: they are fixed. No velocity, acceleration or effort for these joints.
Note: I'm describing the typical situation (such as with joint_state_publis... | {
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"tags": "ros, joint, velocity, position, rqt",
"url": null
} |
$$(a,b,c)=1\,\Rightarrow\,(an+b,c) = 1\ \ \ {\rm for\ some}\ n\qquad$$
If $d$ divides $a+b$ and $d$ divides $ab$, then $d$ divides $a(a+b)-ab = a^2$. Similarly, $d$ divides $b^2$. Thus $d$ divides $(a^2,b^2$). But $(a^2,b^2) = (a,b)^2 = 1$, so $d=1$.
Yet another approach: it's straightforward to show that $(i, jk) | ... | {
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"lm_q2_score": 0.8991213718636752,
"openwebmath_perplexity": 190.1505767583916,
"openwebmath_score": 0.9396748542785645,
"tags... |
Well, there is this but I'm not sure how to generalize it.
$\sqrt{1-x} - \sqrt{x} > 0$ so $1-x > x$ so $x < \frac 12$ and $x \in [0,1/2)$.
When you square but sides of $\sqrt{1-x} - \sqrt{x} > 1/\sqrt{3}$ to get $\frac{1}{3} > \sqrt{x}\sqrt{1 -x}$ you are extraneously adding the possibility that $\sqrt{x} - \sqrt{1-x... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9883127440697254,
"lm_q1q2_score": 0.8214292704770307,
"lm_q2_score": 0.8311430520409023,
"openwebmath_perplexity": 408.4339104660048,
"openwebmath_score": 0.9201208353042603,
"tag... |
ros, slam, navigation, pose, transform
Title: rgbdslam: How to get transform between poses?
Hello,
I'm trying to learn more about the general concept of rgbdslam. Let's say I found a rigid body transformation (represented by a 4x4 matrix) between two consecutive frames (more precisely, between the feature sets of the... | {
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"tags": "ros, slam, navigation, pose, transform",
"url": null
} |
c#
int sourceColumn = sourceSquare.row;
int sourceRow = sourceSquare.row;
bool isRowMoveOne = sourceRow - destRow * 1 == 1;
bool isColumnMoveOne = sourceColumn - destColumn * 1 == 1;
return isRowMoveOne && isColumnMoveOne;
}
#endregion
} Design
This is stage 1 of a project an... | {
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"openwebmath_score": null,
"tags": "c#",
"url": null
} |
# some positive integer pairs(x,y) satisfy $\frac{1}{ \sqrt{x}}+\frac{1}{ \sqrt{y}}=\frac{1}{ \sqrt{20}}$How many values of $xy$ are there?
There are some positive integer pairs(x,y) that satisfy $$\frac{1}{ \sqrt{x}}+\frac{1}{ \sqrt{y}}=\frac{1}{ \sqrt{20}}$$ How many different possible values of the product x and y ... | {
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"ta... |
full turn, so it can be divided into four triangles... Because the sum of angles! The sum of interior angles of regular polygons to abide by the formula 1 ), we get a. By trying it on a triangle pentagon is equal to 108 degrees ) so the... Depending on the inside of the angles of a polygon with n sides, there are n and... | {
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"lm_q1_score": 0.9744347838494567,
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"lm_q2_score": 0.8438951005915208,
"openwebmath_perplexity": 596.3082293200838,
"openwebmath_score": 0.3045223057... |
python, python-2.x, file-system, geospatial, arcpy
#arcpy.Delete_management(str(Temp_1m) + str(CoName) + "_MOspace")
arcpy.Delete_management(str(Temp_1m) + str(CoName) + "_MOherb")
print("--- FOREST & MIXED OPEN Clean Up Complete %s seconds ---" % (time.time() - start_time)) | {
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"tags": "python, python-2.x, file-system, geospatial, arcpy",
"url": null
} |
a constant. Here we compute − tn e t ∞ 0. RULE OF THUMB: The first step to use Integration by Parts is to pick your "u" and "dv". Integration by parts is whenever you have two functions multiplied together--one that you can integrate, one that you can differentiate. Integrating by parts is the integration version of th... | {
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"lm_q1_score": 0.9732407191430024,
"lm_q1q2_score": 0.8348148438198516,
"lm_q2_score": 0.8577681013541613,
"openwebmath_perplexity": 588.7806070838892,
"openwebmath_score": 0.9372503161430359,
"... |
c#, beginner, winforms
Title: Verify that 5 Textboxes have some content I'm new to C#. I have created a form that has 5 text boxes and this function checks to see if every text box has text in the box. If not, then it displays a message box saying "Error (Add Text)".
I wanted to see if there was a way to simplify t... | {
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"openwebmath_score": null,
"tags": "c#, beginner, winforms",
"url": null
} |
ros, p2os
started roslaunch server http://129.59.89.250:54917/
SUMMARY
========
PARAMETERS
* /rosdistro
* /deadman_button
* /rosversion
* /axis_vw
* /run_button
* /axis_vy
* /axis_vx
NODES
/
p2os_teleop (p2os_teleop/p2os_teleop)
pioneer_joy_controller (joy/joy_node)
ROS_MASTER_URI=http://129.59.89... | {
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"tags": "ros, p2os",
"url": null
} |
ros, mapping, octomap, octomap-mapping
Originally posted by AHornung with karma: 5904 on 2013-10-25
This answer was ACCEPTED on the original site
Post score: 0 | {
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"tags": "ros, mapping, octomap, octomap-mapping",
"url": null
} |
imu, navigation, ros-kinetic, robot-localization
Title: IMU convention ENU (robot localization)
Hello
I'm starting to use the robot_localization package and would like to know if my inertial motion unit is in the ENU convention .. how can I know?
my imu WT901C - datasheet: http://wiki.wit-motion.com/english/lib/exe/f... | {
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"tags": "imu, navigation, ros-kinetic, robot-localization",
"url": null
} |
c#, array, integer
Any suggestions?
Edit
Here is the revised version based on suggestions provided:
Blue = 0;
Green = 0;
Red = 0;
int[] Adjustments = new int[24];
// ... populate Adjustments
int[] AdjustmentStops = new[] { 128, 64, 32, 16, 8, 4, 2, 1 };
for (int i = 0; i < 8; i++)
{
Blue += Adjustments[i] == 255... | {
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"openwebmath_score": null,
"tags": "c#, array, integer",
"url": null
} |
is said to be even if f(-x) = f(x). ) 2. In Example 1 we found the Fourier series of the square-wave function, but we don't b3 sin 3x a0 a1 cos x a2 cos 2x a3 cos 3x f. The series contains sin(nx) and cos(nx) terms, but only for even values of n. A Fourier cosine series F(x) is an even 2T-periodic function. • Antiperio... | {
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"lm_q1_score": 0.9925393578601738,
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"lm_q2_score": 0.8152324826183822,
"openwebmath_perplexity": 514.1941983617381,
"openwebmath_score": 0.9046310782432556,
"t... |
quantum-mechanics, hilbert-space, operators, momentum, differentiation
\left(\frac{\partial}{\partial x'}\right)
\braket{x' | a} \\
&= \int dx - i \hbar \braket{a | x}
\left(\frac{\partial}{\partial x}\right)
\braket{x | a}
&& \left( \int f(x') \delta(x - x')\, dx' = f(x)\right) \\
&= -i \hbar \int dx
\Psi_... | {
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"openwebmath_score": null,
"tags": "quantum-mechanics, hilbert-space, operators, momentum, differentiation",
"url": ... |
beginner, assembly, x86
Title: Printing one to ten in (GAS/AT&T x86/x64) assembly I've started my journey of learning assembly on my Mac. As a start, I've decided to write a program to print the numbers one through ten to the console, then a final string signifying the end of the program. I want to kick bad habits to ... | {
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"id": 41879,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "beginner, assembly, x86",
"url": null
} |
now, that means we have a function f, THAT FOR EACH VALUE OF x IN THE DOMAIN OF THE FUNCTION, is either 0, or 1.
we can't have f take on both values in any subinterval of the domain, or else (by the intermediate value theorem -since f is CONTINUOUS),
f would take on EVERY value between 0 and 1, and we know that it ON... | {
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"lm_q2_score": 0.8418256432832333,
"openwebmath_perplexity": 420.76276500474285,
"openwebmath_score": 0.8670943975448608,
"tag... |
This is an old version, view current version.
## 18.6 Gamma distribution
### 18.6.1 Probability density function
If $$\alpha \in \mathbb{R}^+$$ and $$\beta \in \mathbb{R}^+$$, then for $$y \in \mathbb{R}^+$$, $\text{Gamma}(y|\alpha,\beta) = \frac{\beta^{\alpha}} {\Gamma(\alpha)} \, y^{\alpha - 1} \exp(-\beta \, y) .... | {
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"lm_q1_score": 0.9895109065748189,
"lm_q1q2_score": 0.8089988567325175,
"lm_q2_score": 0.817574471748733,
"openwebmath_perplexity": 12796.704733697865,
"openwebmath_score": 0.8170670866966248,
"tags": nu... |
human-biology, genetics, bioinformatics, statistics
This expected association between the triglyceride-raising SNPs and risk of diabetes is only true if raised triglycerides increase the risk of diabetes. The observed association between the SNP-score and diabetes can then be calculated. If the expected and observed e... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "human-biology, genetics, bioinformatics, statistics",
"url": null
} |
algorithms, strings, pattern-recognition
currentIndex = 0;
for i = 0 to |btw(T)| - 1 do
//get original
lastFirst = c(bwt[currentIndex]) + Occ(bwt[currentIndex], currentIndex);
T[--n] = bwt[lastFirst];
currentIndex = lastFirst;
//print pattern only if we have reconstructed at least k char
if... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "algorithms, strings, pattern-recognition",
"url": null
} |
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