text stringlengths 1 1.11k | source dict |
|---|---|
While the above exercises were fairly pointless, using the change-of-base formula can be very handy for finding plot-points when graphing non-standard logs, especially when you are supposed to be using a graphing calculator. find the average rate of change of the area of the circle w. That interpretation is very visual... | {
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"openwebmath_score": 0.7723156809806824,
"tags... |
quantum-mechanics, energy, spectroscopy, hydrogen, orbitals
Yes, certainly. A generic electronic state for the hydrogen atom is labeled by $n,\ell$, and $m$ (which label the orbital) and $m_s$ (which labels the electron's spin state). However, if we neglect any fine structure effects (e.g. spin-orbit coupling, lamb ... | {
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"tags": "quantum-mechanics, energy, spectroscopy, hydrogen, orbitals",
"url": null
} |
javascript, beginner, game, dom
The doctype for HTML5 is just <!DOCTYPE html> - there's no 5 in the the doctype declaration.
You're missing a <body> opening tag.
I'd recommend you consistently use quotes around your attribute values. Right now you have id=3 with no quotes. It's perfectly valid to skip them (provided t... | {
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"tags": "javascript, beginner, game, dom",
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} |
python, python-3.x, antlr
def low_surrogate(point):
if is_bmp(point):
return None
return 0xDC00 + (TEN_BITS & (ord(point) - 0x10000))
def codepoints_from_for(file, code):
"""
Extract the characters of a given category from the source tsv.
:param file: The tab separated values file-like-obj... | {
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"tags": "python, python-3.x, antlr",
"url": null
} |
acid-base, redox
$$\ce{2AH -> A- + AH2+}\tag{1}$$
An example would be water:
$$\ce{2H2O <- OH- + H3O+}$$
What I am looking for, however, is a case where the mixture of conjugate acid and the conjugate base (of the same amphoteric starting material) are the major species, i.e. a reaction of the type (1) with an equilib... | {
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"tags": "acid-base, redox",
"url": null
} |
If the cyclotomic roots don't move "much" then they can't end up "too close" together. But perhaps it is also good to just consider if roots (want to be) separated from each other. We could try to add a new root very near an old one or move two roots until they touch or are near. I'll leave it to you to check that, if ... | {
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"openwebmath_perplexity": 265.6323066576666,
"openwebmath_score": 0.8915950655937195,
"tags... |
c++, game
outfile << "Room:" << endl;
outfile << "9 1" << endl;
outfile << "gate_1" << endl;
outfile << "To your east is the gate to a walled town, the gate is open and there are no guards. To the north there is a ravine and to the south is the river." << endl;
outfile << "null" << endl;
outfile <<... | {
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"tags": "c++, game",
"url": null
} |
kinect, rviz
Title: PCL_tutorial, how to show the point cloud
Hello,
I am following the tutorial of PCL with ROS (www.ros.org/wiki/pcl/Tutorials).
When i launch the openni i can see the topic is publishing. But when i try to use it to see the result, nothing happen (only black screen is showed in the rviz window).
Wh... | {
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"tags": "kinect, rviz",
"url": null
} |
organic-chemistry, biochemistry, chirality, drugs, medicinal-chemistry
Edit: In regards to your question about following the chain all the way down, realistically you only need to follow it until you see that it differs from the other chains. So for chains 1 and 3 once you get to the nitrogen and oxygen atoms you see ... | {
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"tags": "organic-chemistry, biochemistry, chirality, drugs, medicinal-chemistry",
"url":... |
c#, random
Title: Random Number Generator Class I've written an abstract class in C# for the purpose of random number generation from an array of bytes. The .NET class RNGCryptoServiceProvider can be used to generate this array of random bytes, for example.
using System;
using System.Collections.Generic;
using System.... | {
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"tags": "c#, random",
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} |
internal angles of the rhombus. Finding vertices of rhombus formed by lines $y=2x+4$, $y=-\frac{1}{3}x+4$ and $(12,0)$ is a vertex. He says that the rhombus is a quadrilateral and hence the sum of internal angles of it is 360 degrees. Here is a formula you can use that will solve an area of any triangle given that you ... | {
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"lm_q2_score": 0.8902942203004185,
"openwebmath_perplexity": 645.3402822566482,
"openwebmath_score": 0.5473098754882812,
"ta... |
which is, according to investopedia explanation, a set of optimal portfolios that offers the highest expected return for a defined level of risk or the lowest risk for a given level of expected return. Bond Yield Maturity Rating A 4 3 A (2) B 3 4 Aaa (1) The goal is to maximize total return subject to the following lim... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9632305381464927,
"lm_q1q2_score": 0.8047632511380802,
"lm_q2_score": 0.8354835309589074,
"openwebmath_perplexity": 1894.8592761976015,
"openwebmath_score": 0.26045969128608704,
"t... |
javascript, sass
this.setHistory();
}
listenForClose() {
// Closing with button
const buttons = document.querySelectorAll('[modal-close]');
__.forEach(buttons, (button) => {
button.addEventListener('click', (e) => {
e.preventDefault();
this.close(button.parentNode.parentNode.ge... | {
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"openwebmath_score": null,
"tags": "javascript, sass",
"url": null
} |
electrostatics, electric-fields, potential, dirac-delta-distributions, dipole
\mathbf{\hat{z}}\, \frac{\partial^2}{\partial z^2} ~~~~~~~~~~~~~
&\bigg] ~ \frac{\mu}{4\pi r}\\ \\
\mathsf{B} &= &\mu_o\bigg[~
\mathbf{\hat{x}}\,\frac{\partial}{\partial x}\frac{\partial}{\partial z} ~+~
\mathbf{\hat{y}}\,\... | {
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"tags": "electrostatics, electric-fields, potential, dirac-delta-distributions, dipole",
... |
quantum-mechanics, schroedinger-equation
Title: Schrodinger's equation (explanation to non physicist) For a report I'm writing on Quantum Computing, I'm interested in understanding a little about this famous equation. I'm an undergraduate student of math, so I can bear some formalism in the explanation. However I'm no... | {
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"tags": "quantum-mechanics, schroedinger-equation",
"url": null
} |
signal-analysis, noise, continuous-signals, sensor
If you need help understanding/implementing any of the solutions described below, feel free to ask!
Regarding the question about how to measure the noise frequency - you can manually select the time range in which the noise occurs and draw a FFT spectrum / Histogram o... | {
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"tags": "signal-analysis, noise, continuous-signals, sensor",
"url": null
} |
Conjecture II implies Conjecture III
Suppose that the product $X \times Y$ is normal for every normal and countably paracompact space $Y$. Since any normal P-space is a normal countably paracompact space, $X \times Y$ is normal for every normal and P-space $Y$. By Conjecture II, $X$ is metrizable. By Theorem 4, $X$ is ... | {
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"lm_q2_score": 0.8499711775577736,
"openwebmath_perplexity": 148.87961063114636,
"openwebmath_score": 0.9994206428527832,
"tags":... |
frequency-spectrum, dft
$dt < N$: In this case, there is overlap between successive windows of samples that you input to the DFT. This can be used if you would like to get answers more frequently than every $N$ samples. It's quite common to see something like 50% overlap between windows being used.
$dt = N$: In this c... | {
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"tags": "frequency-spectrum, dft",
"url": null
} |
c#, wpf, rubberduck, xaml
_openDesignerCommand = commands.OfType<CodeExplorer_OpenDesignerCommand>().FirstOrDefault();
_renameCommand = commands.OfType<CodeExplorer_RenameCommand>().FirstOrDefault();
_indenterCommand = commands.OfType<CodeExplorer_IndentCommand>().FirstOrDefault();
_findAllReferencesCommand = command... | {
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"tags": "c#, wpf, rubberduck, xaml",
"url": null
} |
c++, object-oriented
polynomial multiply(const polynomial &poly1, const polynomial &poly2)
{
return poly1.times(poly2);
}
bool polynomial::operator==(const polynomial& poly) const
{
if (this->order() != poly.order())
return false;
for (std::size_t i = 0; i <= this->order(); ++i)
if (coeffi... | {
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2. Why is it no probabilistic assumption is made when talking about mean or variance when it comes to dealing with data in statistics or data science (or other areas of real life)?
3. Is there some consistent language for distinguishing these two seemingly different mean and variance terminologies? For example, if my ... | {
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"openwebmath_score": 0.8698630928993225,
"tag... |
self-study, soft-question
With regard to a free DSP textbook homework problems, I recently learned that Sophocles J. Orfanidis, the well-known professor with the ECE Department of Rutgers University, has made his signal processing textbook available for downloading on the Internet. The textbook is: "Introduction to Si... | {
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"tags": "self-study, soft-question",
"url": null
} |
ros, gazebo, gazebo-ros-control, xacro
Here is my robot in real. (Documentation is horrible I needed to measure it myself and try to create proper model)
https://www.youtube.com/watch?v=aZYC8IAiYCk
life my hardware controller is working correctly but I just cannot simulate. Can you help me with any better tutorial or ... | {
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"tags": "ros, gazebo, gazebo-ros-control, xacro",
"url": null
} |
species-identification, microscopy, life
Title: Star-like organism seen in microscope
I found this strange star-like thing while observing a slide of onion root somatic cells. I don't know that it is; I even doubt if it is an organism. It has conical arms directed radially outwards all over it's body. It wasn't movi... | {
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"tags": "species-identification, microscopy, life",
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Well, use the above relations for $\lambda_i^2$ and a little algebra to find out the coefficients of the char. pol. of $A^2$ . For example, it may interest you to use
$\sum^4_{i=1}\lambda_i^2=\left(\sum^4_{i=1}\lambda_ i\right)^2-2\sum^4_{i,j=1,\,i>j}\lambda_i\lambda_j$ ...
• March 30th 2010, 07:03 AM
Opalg
I'm not su... | {
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"openwebmath_perplexity": 144.86959307866354,
"openwebmath_score": 0.9481346011161804,
"ta... |
javascript, datetime
That's all you need!
here's a fiddle
Oh, and remember how I said that the interval ID returned by setInterval can be a useful thing to have?
Here's another fiddle that illustrates that point
The code you have can, therefore be re-written to be more standard-compliant and at the same time be made s... | {
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the solution of systems of linear equations, matrix inversion, evaluation of the matrix determinant, in signal processing, and the transitive closure of a graph. Then, user is asked to enter two matrix and finally the output of two matrix is calculated and displayed. That’s very important because for small n (usually n... | {
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"lm_q1_score": 0.9919380084717283,
"lm_q1q2_score": 0.8687264139883583,
"lm_q2_score": 0.875787001374006,
"openwebmath_perplexity": 795.9439563852297,
"openwebmath_score": 0.7114400267601013,
... |
homework-and-exercises, nuclear-physics, mass-energy, binding-energy
Title: In what way is mass converted into energy in nuclear reaction? My book says:
In nuclear reactions, the number of protons and the number of neutrons are the same on the two sides of equation | {
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"url": nu... |
php, laravel
$address->user_id = $user->id;
$address->street_name = $request->street;
$address->house_number = $request->number;
$address->postal_code = $request->postal_code;
$address->state = $request->state;
$address->city = $request->city;
$address->country_id = $req... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "php, laravel",
"url": null
} |
electrostatics, newtonian-gravity
The exterior region know how much charge in is on and inside the conductor. But the exterior region does not know where the charge is.
Let's be clear. Imagine a world (world A) where everything was a conductor except that one cavity. Then a charge imbalance would develop (assuming an ... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "electrostatics, newtonian-gravity",
"url": null
} |
huffman-coding
Title: How to know if a code is Huffman or not without having the probability of each codeword? I am new to Huffman coding and I find myself facing a lot of confusion as to how to determine if a code is Huffman or not without having the probabilities associated to each codeword. I know one way is look a... | {
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"openwebmath_score": null,
"tags": "huffman-coding",
"url": null
} |
opencv, ros-groovy, ubuntu-precise, ubuntu
If I try to build the package with rosmake I get errors during the linking process:
Linking CXX executable ../bin/mr
../lib/libmr_lib.so: undefined reference to `cv::waitKey(int)'
../lib/libmr_lib.so: undefined reference to `cv::imshow(std::basic_string<char, std::char_tr... | {
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I will base my answer on the following definitions until I hear otherwise from you. I will use $T$ as the fundamental period of the periodic signal $x(t)$. So, $\omega$ takes on discrete values at $\omega = \frac{2 \pi}{T} k$ where $k$ varies over all non-negative integers ($0, 1, 2, \cdots, \infty$). The underlying si... | {
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homework-and-exercises, thermodynamics, electricity, heat
$Heat = c_{water}\cdot m\cdot \Delta T$
By solving these two equations, you can get the amount of water ($m_{water}$) you need as
$m_{water} = \frac{U^2 t}{R\cdot c\cdot \Delta T}$
where $R$ can be easily calculated as $R=\frac{\rho L}{\pi r^2}$ for this cylind... | {
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"tags": "homework-and-exercises, thermodynamics, electricity, heat",
"url": null
} |
slam, navigation, mapping, kinect, gmapping
Comment by bvbdort on 2014-08-12:
start with building map by driving robot
Comment by sumanth on 2014-08-13:
@bvbdort, I tried mappin with the gmapping but was not sucessful.
Steps followed: | {
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} |
java, generics
Title: Mapping from multiple sources to destination using JMapper I am using JMapper to map from multiple sources to a destination class. Could you review it and let me know if the code looks OK to you? Please suggest any changes that I can make to improve it.
Interface to Map sources to destination obj... | {
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "java, generics",
"url": null
} |
evolution, human-anatomy, eyes, human-evolution, human-eye
Title: Is the backward positioning of photoreceptors bad design? (Several questions have been asked about this topic but most are quite old and there has been at least one study since then that has attempted to answer this in a new way)
Since photoreceptors ar... | {
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"tags": "evolution, human-anatomy, eyes, human-evolution, human-eye",
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} |
electrostatics, electric-fields, potential, voltage
Footnotes:
*With the possible exception of sensing applications | {
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then xâ=ây. Proof: As before, we must prove the implication in both directions. If the function is one-to-one, there will be a unique inverse. Since f is surjective, we know there is some bâââB with f(b)â=âc. each step / sentence clearly states some fact. A semigroup S (with zero) is called a right invers... | {
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"lm_name": "Qwen/Qwen-72B",
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"lm_q1q2_score": 0.8312595779357588,
"lm_q2_score": 0.8615382076534742,
"openwebmath_perplexity": 596.7027181393795,
"openwebmath_score": 0.913962006568908... |
quantum-mechanics, photoelectric-effect, fermis-golden-rule
Am I correct up to this point? My intuition tells me that the first term vanishes since the bound state wave function vanishes at infinity. This would leave me with the desired result in the textbook, namely
$$H^1_{fi} = N\mathbf{A_0}\cdot\mathbf{p}_f\int e^{... | {
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"tags": "quantum-mechanics, photoelectric-effect, fermis-golden-rule",
"url": null
} |
accretion-discs, planetary-formation
A debris disk around an isolated young neutron star.
Reference 5
As you mention in an answer to your own question, the common envelope phase in a binary star can form a new disc. This can be extended to a multiple-star system: whenever one of the stars in the system turns into a r... | {
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"url": null
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at strategic points along the beam. For this load alone the distortion produced is indicated in the diagram, and is uniform for the shear force over the length and zero over the rest of the beam. The complete diagrams are shown. As can be seen, the shear value changes at the point of application of the load. Shear and ... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9814534322330059,
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"lm_q2_score": 0.8198933337131076,
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"openwebmath_score": 0.6744881868362427,
... |
CONTENTS UNIT-7 LAPLACE TRANSFORMS Laplace Transforms of standard functions Inverse LT- First shifting Property Transformations of derivatives and integrals ENGI 3424 3 – Laplace Transforms Page 3.01 3. Laplace Transforms . In some situations, a difficult problem can be transformed into an easier problem, whose solut... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9693242018339897,
"lm_q1q2_score": 0.8160019678356033,
"lm_q2_score": 0.8418256412990657,
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"openwebmath_score": 0.7942330837249756,
"tags"... |
$${48!\times4!\times10^4\over52!}={24\times10^4\over52\times51\times50\times49}=24\left(10\over52\right)\left(10\over51\right)\left(10\over50\right)\left(10\over49\right)\approx25\left(1\over5\right)^4=0.04\%$$
The exact answer, as a reduced fraction, is ${400\over10829}=0.0369378\ldots$ | {
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"openwebmath_perplexity": 297.1490344393237,
"openwebmath_score": 0.7332857847213745,
"tag... |
gt.game-theory, queueing-theory
As you drive along the parking slots, you notice that for $n$ parking slots, $n_{fill}$ of the slots are filled, whereas $n_{empty}$ slots are empty ( naturally, $n=n_{fill}+n_{empty}$ and $n<k$ ).
Base on this information, and the assumption that all slots are equal ( that is, one won... | {
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"tags": "gt.game-theory, queueing-theory",
"url": null
} |
c#, sql, form
public string V9 { get; set; }
public string V9a { get; set; }
public string V10 { get; set; }
public int V10a { get; set; }
public string V11 { get; set; }
public string V11a { get; set; }
public string V12 { get; set; }
public string VulnerableOther { get; set; }
public ... | {
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"tags": "c#, sql, form",
"url": null
} |
homework-and-exercises, newtonian-mechanics, angular-momentum, moment
Absolute value of point C acceleration is $|\vec{a}| = \alpha \, r$.
We need to compute angular acceleration $\alpha$ which is quotient of torque $\tau$ and moment of inertia $I$. $$\alpha = \frac{\tau}{I}$$
Moment of inertia of a cylinder is $I_{c... | {
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"openwebmath_score": null,
"tags": "homework-and-exercises, newtonian-mechanics, angular-momentum, moment",
"url": n... |
newtonian-mechanics, newtonian-gravity, mass, acceleration, free-fall
Can someone explain this to me? I feel pretty dumb right now :) it is because the Force at work here (gravity) is also dependent on the mass
gravity acts on a body with mass m with
$$F = mg$$
you will plug this in to $$F=ma$$ and you get
$$ma = mg$... | {
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"url": n... |
Do I have the right understanding now?
Thanks.
5. Apr 20, 2013
### rubi
Yes, that's correct. The open balls of a metric space $(X,d)$ are defined to be $B_\epsilon(x) = \{y \in X : d(x, y) < \epsilon\}$ and thus if you check your definition of openness, you will find that your set $E$ is open in $(E,d)$, but closed... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
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"lm_q1_score": 0.969785412932606,
"lm_q1q2_score": 0.8102397490145424,
"lm_q2_score": 0.8354835391516133,
"openwebmath_perplexity": 214.11095613984045,
"openwebmath_score": 0.8714964985847473,
"tag... |
javascript, recursion, react.js
Title: recursive function improvement I am creating routes from an array of menuItems. I have written a recursive function, which works fine but I think the code can be improved. So, I need you guys to review my code and suggest me some changes.
Here is the code:
const accumulator = [];... | {
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"url": null
} |
performance, vba, excel
GetOptionCodes
I'm not sure if you're creating a static collection for a reason, but to me this could easily just be a Select Case.
The same can be said for TranslateExpirationDate and GetCallOrPut
I'd make ":" a constant called DELIMITER in GetOptionStrike and I'd give findChar a constant and... | {
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"tags": "performance, vba, excel",
"url": null
} |
biochemistry, amino-acids
References
Green, J. E.; Bender, D. M.; Jackson, S.; O'Donnell, M. J.; McCarthy, J. R. Mitsunobu Approach to the Synthesis of Optically Active α,α-Disubstituted Amino Acids. Org. Lett. 2009, 11 (4), 807–810. DOI: 10.1021/ol802325h.
Graham, S. R.; Mantell, S. J.; Rawson, D. J.; Schwarz, J. B... | {
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"tags": "biochemistry, amino-acids",
"url": null
} |
c#, object-oriented, design-patterns, unity3d
public void ChangeValue (int direction)
{
// your code here...
}
public void UpdateValue ()
{
// your code here...
}
void OnValueChanged ()
{
// your code here..
}
}
public class ListRangControl : RangeControlLogic... | {
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"tags": "c#, object-oriented, design-patterns, unity3d",
"url": null
} |
ros, simulation, teb-local-planner, stage
Originally posted by croesmann with karma: 2531 on 2016-06-15
This answer was ACCEPTED on the original site
Post score: 6
Original comments
Comment by stfn on 2016-06-16:
Thanks! Just one detail: With base_link you mean the robot_frame_id tf param (global costmap), right? So ... | {
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"tags": "ros, simulation, teb-local-planner, stage",
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} |
c++, c++11, game, design-patterns, tetris
stream << '\n';
}
rlutil::setColor(rlutil::GREY);
stream << "Score : " << mScore
<< "\n\narrow keys left: ["
<< static_cast<char>(27) << "]\t down:["
<< static_cast<char>(25) << "]\t right:["
<< static_cast<char>(26) << "]\t Rotation... | {
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"openwebmath_score": null,
"tags": "c++, c++11, game, design-patterns, tetris",
"url": null
} |
c#, winforms, chess
public FigureType PieceType
{
get { return definition.PieceType; }
set { definition.PieceType = value; }
}
public Image PieceImage
{
get { return definition.PieceImage; }
set { definition.PieceImage = value; }
}
public Tuple<int, int> Starti... | {
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"tags": "c#, winforms, chess",
"url": null
} |
proteins, digestion, neurodegenerative-disorders
Attaching to ferritin may provide additional protection from digestion, insofar as this removes prions from the digestive system, where proteases are concentrated. | {
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"tags": "proteins, digestion, neurodegenerative-disorders",
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javascript, raphael.js
Title: Raphaël zoom effect I started playing with Raphaël and I'm wondering if somebody could do the code review
of what I have so far and maybe give me some tips how to improve it. Basically what I'm trying to accomplish is the zoom-in/zoom-out effect on the element when mouseover event is bei... | {
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"id": 1950,
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c#
I also tested for sb.Length > 0 in the if-condition, just in case a single word exceeds the maximum line length.
Removing the trailing white spaces is an addition to your implementation.
Test
string input = "Issue: Our application logs and traces are not standard, to help our aggregation tool for multiline content ... | {
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type-theory, lambda-calculus, type-systems, dependent-type
it doesn't seem like this terminates or produces a useful type. The thought springs to my mind that if types were evaluated lazily somehow that this would be fine but I don't have a clear picture on how that should work. | {
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} |
quantum-mechanics, classical-mechanics, education, foundations, born-rule
The following spells out an argument to this extent. It will work for readers with a background in modern mathematics, notably in Lie theory, and with an understanding of the formalization of classical/prequantum mechanics in terms of symplectic... | {
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java, performance, android, file
So, that's a "simplified" version, how to make it faster?
Well, there's a few things. First up, nothing can be for sure unless you test it, so, run some experiments. Things I would try:
Specify a buffer-size on the BufferedReader, something large like 1024 * 1024 (a megabyte). This sh... | {
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Edit: For clarity I mean in $\mathbb{R}^2$ with the usual topology. I was told one should always assume the usual topology when it is not specified.
-
Closure in what ? – Selim Ghazouani May 15 '12 at 9:06
We have $\mathbb{R} \times \emptyset = \emptyset$. What would an element of it look like, otherwise? – Alastair... | {
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"openwebmath_perplexity": 211.51575320224498,
"openwebmath_score": 0.9273964166641235,
"ta... |
quantum-mechanics, quantum-field-theory, wavefunction, schroedinger-equation, second-quantization
\begin{equation}
-\frac{1}{c^2} \frac{\partial^2\Phi}{\partial t^2} + \nabla^2 \Phi = 0
\end{equation}
Here we see that the same equation appears that we might have guessed by generalizing the one particle Schrodinger equ... | {
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"tags": "quantum-mechanics, quantum-field-theory, wavefunction, schroedinger-equation, seco... |
matlab, channelcoding
My question is how can I enter (or consider) the real-valued coefficients $\Gamma_{-L_2}, ..., \Gamma_{L_1}$ in the second input argument CodeGenerator. If these coefficients are binary, then it is straightforward to convert this binary sequence to octal. But, I have no clue with real-valued coef... | {
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"tags": "matlab, channelcoding",
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} |
Nov 15, 2019
edited by heureka Nov 15, 2019 | {
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"lm_q2_score": 0.8705972801594706,
"openwebmath_perplexity": 10881.816147161699,
"openwebmath_score": 0.945934534072876,
"tags": null... |
slam, kinematics, localization, dynamics
The motion model is then
$$
\mathbf{T}_{k}
=
\mathbf{T}_{k-1}
\begin{bmatrix}
\mathbf{C}(\Delta t_{k-1} \omega^{b_{k-1}w}) & \Delta t_{k-1} \mathbf{v}^{b_{k-1}a}_{b_{k-1}} \\
\mathbf{0} & 1
\end{bmatrix},
$$
where $\Delta t_{k-1} = t_{k} - t_{k-1}$ is the sampling period and $\... | {
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} |
f(0)=0
f'(0)=1
So its not generally true that the derivative of a function is zero where the function is zero.
Of coarse if f(x) = 0 for all x then f'(x)=0.
10. Aug 6, 2010
PrakashPhy
Thank you all.
I had a mistake in understanding what derivative actually is. I thought of taking derivative of some numbers, where... | {
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"openwebmath_score": 0.860595703125,
"tags": ... |
# Chose one of three coins, if it lands heads, probability that other side is tails
1. Oct 11, 2011
### Anger
First of all I want to say hello. This is my first time posting on these forums, but they have (well actually YOU have :D) helped me solve certain questions of mine.
For the last week or so, I have been obs... | {
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"lm_q1_score": 0.9732407175907054,
"lm_q1q2_score": 0.8473007102382611,
"lm_q2_score": 0.8705972684083609,
"openwebmath_perplexity": 747.8904907423318,
"openwebmath_score": 0.8007107973098755,
"tag... |
The function $f(x,y,z)=x+y+z$ is constant on planes normal to the line $x=y=z$ and increases linearly along that line, so the minimum and maximum values of $f$ on $M$ will occur at points where such a plane just touches the surface of $M$; there’s no need to look for them in the interior of $M$. Since for fixed $x$ and... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9838471680195556,
"lm_q1q2_score": 0.8261698820381224,
"lm_q2_score": 0.8397339636614178,
"openwebmath_perplexity": 81.05720370481893,
"openwebmath_score": 0.8581739068031311,
"tag... |
python, interview-questions
user_id = self.get_user_id(user_name)
if not user_id:
return
return [_task.task_name for _task in self.tasks
if _task.user_id == user_id]
def test_add_users(n):
'''
Test by adding n users.
@ n: int
'''
print 'adding use... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, interview-questions",
"url": null
} |
c#, .net
public class UserGroupTest
{
public UserGroupTest()
{
UserGroup userGroup = new UserGroup(new SDocsServer());
foreach (UserGroup.User user in UserGroup.LibraryUsers)
{
Debug.WriteLine($"{user.Name} {user.Role}");
foreach (UserGroup.Group group in user.Gr... | {
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "c#, .net",
"url": null
} |
ruby, array, pagination
Title: Applying limit and offset to an array I'm refactoring an old gateway and came across the following method:
def apply_limit_and_offset(options)
limit = options[:limit]
offset = options[:offset]
@result = if offset
@result.drop offset
else
@result
end
@result = if li... | {
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"tags": "ruby, array, pagination",
"url": null
} |
ros, ros2, gazebo-ros
Originally posted by shonigmann on ROS Answers with karma: 1567 on 2021-10-28
Post score: 1
After a bit more digging, I think the issues we have been experiencing are due to the publisher "Throttler" checking the realTime clock instead of the simTime clock
void GazeboRosInitPrivate::PublishSimTi... | {
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"tags": "ros, ros2, gazebo-ros",
"url": null
} |
acid-base, equilibrium, ph, henderson-hasselbalch-equation
Title: How to calculate the pH of a buffered solution with Henderson Hasselbalch? Lets say you have a buffered solution containing $0.50~\mathrm{M}$ acetic acid ($K_a = 1.8 \cdot 10^{-5}$) and $0.50~\mathrm{M}$ sodium acetate, and you want to calculate the $\m... | {
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"tags": "acid-base, equilibrium, ph, henderson-hasselbalch-equation",
"url": null
} |
ros, ros-melodic, transform, tf2
Originally posted by pauljurczak on ROS Answers with karma: 85 on 2020-03-20
Post score: 0
Original comments
Comment by tfoote on 2020-03-20:
Please edit your question provide more information about how to reproduce your problem. If the query with time zero is failing it likely means ... | {
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"tags": "ros, ros-melodic, transform, tf2",
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} |
thermodynamics, temperature
The state, the system is in, is not called equilibrium, but rather steady state (sorry, in the first version I almost literally translated it from german, which was wrong) because there is energy flow, although all the corresponding fields are independent of time.
However, the system is in ... | {
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"tags": "thermodynamics, temperature",
"url": null
} |
python, programming-challenge, python-2.x
Title: Circular primes below 10^1025 The problem
Project Euler: 35 is stated in the following way
Circular primes
Problem 35
The number, 197, is called a circular prime because all rotations of
the digits: 197, 971, and 719, are themselves prime.
There are thirteen such pri... | {
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"tags": "python, programming-challenge, python-2.x",
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} |
Given that $Y_{1}$ and $Y_{2}$ are independent, we have that
$$\left[\array{Y_{11} \\ Y_{12} \\ Y_{13} \\ Y_{21} \\ Y_{22}}\right] \sim MVN\left(\left[\array{2\\2\\2\\3\\4}\right],\left[\array{3 & 1 & 0 & 0 & 0\\1 & 2 & 0 & 0 &0\\0&0&3&0&0\\0&0&0&4&2\\0&0&0&2&4}\right]\right)$$
Let
$$\begin{array}{rcl}X_1 & = & Y_{1... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
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"lm_q1q2_score": 0.8003425724740437,
"lm_q2_score": 0.8080672112416737,
"openwebmath_perplexity": 419.4714558531591,
"openwebmath_score": 0.994788408279419,
"tags... |
robotic-arm
Title: How can I convert RGB colors to CMYK for my airbrush robot? I am developing a robot which paints using an airbrush (3D painting). I intend to use several colors as a CMYK printer, but I do not know how to do the conversion of RGB colors in the computer to the dosage of colors in CMYK. Professional C... | {
"domain": "robotics.stackexchange",
"id": 477,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "robotic-arm",
"url": null
} |
java, cryptography
//This method creates a random grille
public static int[][] creategrille() {
int[][] a2 = {
{(int)((Math.random()) * 4 + 1),(int)((Math.random()) * 4 + 1),(int)((Math.random()) * 4 + 1)},
{(int)((Math.random()) * 4 + 1),(int)((Math.random()) * 4 + 1),(int)((Math.... | {
"domain": "codereview.stackexchange",
"id": 36777,
"lm_label": null,
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"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, cryptography",
"url": null
} |
quantum-field-theory, renormalization, 1pi-effective-action
Computing the integral in $d$ dimensions, we find
$$\frac{1}{(2\pi)^d} \int \log(p^2 + V''(\phi)) \mathrm{d}^d{p} = - \frac{V''(\phi)^{\frac{d}{2}}}{(4\pi)^{\frac{d}{2}}} \Gamma\left(-\frac{d}{2}\right).$$
Hence,
$$V_{\text{eff}}(\phi) = V(\phi) - \frac{\mu^{... | {
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"tags": "quantum-field-theory, renormalization, 1pi-effective-action",
"url": null
} |
c#, .net, sorting
// store count of each character
foreach (int i in arr)
count[i]++;
// Change count[i] so that count[i] now contains actual
// position of this character in output array
for (int i = 1; i <= max; ++i)
count[i] += count[i - 1];
// Build the output character array
... | {
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"tags": "c#, .net, sorting",
"url": null
} |
Take a slice of width "$dx$" at $x$, perpendicular to the $x$-axis. The ordinary name for this would be a vertical slice.
This slice is almost a very thin cylinder: if you are hungry, think of a thin ham slice taken from a conical ham. Let us find the radius of this slice. The line through the origin that goes through... | {
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"lm_q1q2_score": 0.8336603729502325,
"lm_q2_score": 0.8397339716830605,
"openwebmath_perplexity": 171.9066989613472,
"openwebmath_score": 0.939029335975647,
"tags"... |
c++, optimization, c, algorithm
struct tm t1, t2;
gmtime_r(&raw, &t1);
t2 = t1;
t1.tm_year = Y1 - 1900;
t1.tm_mon = M1 - 1;
t1.tm_mday = D1;
t1.tm_hour = H1;
t1.tm_min = m1;
t1.tm_sec = S1;
t2.tm_year = Y2 - 1900;
t2.tm_mon = M2 - 1;
t2.tm_mday = D2;
t2.tm_hour = H2;
... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c++, optimization, c, algorithm",
"url": null
} |
(Don't forget to use the chain rule when differentiating .) Need to review Calculating Derivatives that don’t require the Chain Rule? Well g is whatever you u-substitution, we just did it a little bit more methodically Created by T. Madas Created by T. Madas Question 1 Carry out each of the following integrations. The ... | {
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"lm_q1_score": 0.971992481016635,
"lm_q1q2_score": 0.8141603003994349,
"lm_q2_score": 0.8376199572530448,
"openwebmath_perplexity": 765.4364274888999,
"openwebmath_score": 0.9885673522949219,
"tags": null,
... |
For any complex number $z$, let's say $M_z$ is the transformation of the complex plane given by multiplication by $z$. Here's a surprising fact: if you know the transformation $M_z$, you can use it to reconstruct the number $z$! This is because multiplication by $z$ sends $1$ to $z$, so $M_z$ sends the point $(1,0)$ to... | {
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"lm_q1_score": 0.9911526446557306,
"lm_q1q2_score": 0.8280917214265067,
"lm_q2_score": 0.8354835411997897,
"openwebmath_perplexity": 198.73081680710803,
"openwebmath_score": 0.9480005502700806,
"ta... |
php, beginner, object-oriented, validation
public function validationMethod($data) {
foreach ($data as $input => $rule) {
$methods = explode('|', $rule[0]);
foreach ($methods as $method) {
switch ($method) {
case 'number':
self... | {
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"tags": "php, beginner, object-oriented, validation",
"url": null
} |
algorithms, time-complexity, priority-queues
It is also given that the total amount of money the critic received equals the total cost of flights so:
$$
\sum_{j=1}^n m_j=\sum_{j=1}^n c_j
$$
At any given point the critic can only pay for the next flight out of the money he currently has.
Lastly, the critic can choo... | {
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"id": 9176,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "algorithms, time-complexity, priority-queues",
"url": null
} |
c++, strings, serialization
typedef unsigned char byte_t;
typedef std::vector<byte_t> buffer;
std::size_t object_size(const char* s) {
return std::strlen(s);
};
template<typename T>
std::size_t object_size(T const& obj) {
return sizeof(obj);
};
template<typename T>
buffer serialize(const T& obj) {
std::... | {
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"openwebmath_score": null,
"tags": "c++, strings, serialization",
"url": null
} |
ros
Title: Error when I open the terminal: `bash: /opt/ros/jage/setup.bash: No such file or directory`
I've try reinstall my ROS but after that when i reopen my terminal it will show me :
bash: /opt/ros/jade/setup.bash: No such file or directory
And also during the Environment setup step when i type in " source ~/.ba... | {
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"id": 24126,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "ros",
"url": null
} |
generative-models, genetic-algorithms
Title: Are genetic algorithms considered to be generative models? My understanding is that these sorts of algorithms can evolve/mutate data to hone in on specific desirable areas in large/difficult to search parameter spaces. Assuming one does this successfully, how does one gener... | {
"domain": "datascience.stackexchange",
"id": 10800,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "generative-models, genetic-algorithms",
"url": null
} |
quantum-field-theory, quantum-electrodynamics, gauge-theory, path-integral, gauge
Title: What is the constraint on the Gauge Potential in the Covariant Gauges? One of the most common gauges in QED computations are the $R_{\xi}$ gauges obtained by adding a term
\begin{equation}
-\frac{(\partial_\mu A^{\mu})^2}{2\xi}
\... | {
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"tags": "quantum-field-theory, quantum-electrodynamics, gauge-theory, path-integral, gauge"... |
strings, software-testing, bit-manipulation, testing
I'm not sure where you're getting $512 \times 2^{32}$ from (presumably you mean $32 \times 2^{32}$), and those aren't permutations; but in any case that doesn't change anything. Testing almost never exhaustively tries all combinations. I don't see why this would b... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "strings, software-testing, bit-manipulation, testing",
"url": null
} |
algorithms, heuristics, partitions
Title: Partition data into two sets of the same size such that the sum of the average distances is maximized Say I have a set of strings $S=\{s_1, s_2, ..., s_N\}$, and I want to partition $S$ into two sets $S_1$ and $S_2$ equally, i.e., $||S_1|-|S_2||\leq1$.
Define the difference of... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "algorithms, heuristics, partitions",
"url": null
} |
angular-momentum, nuclear-physics, conservation-laws, quantum-spin, parity
I also want to calculate the energy for the internal conversion electron. I suppose that it is not simply the excitation energy. Computing the excitation spectrum for a nucleus — that is, its energy levels and their quantum numbers — is hard. ... | {
"domain": "physics.stackexchange",
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"tags": "angular-momentum, nuclear-physics, conservation-laws, quantum-spin, parity",
"ur... |
### Solution
A sphere of fixed radius $$\left( r \right)$$ is given.
Let $$R$$ and $$h$$ be the radius and the height of the cone respectively.
The volume $$\left( V \right)$$ of the cone is given by
$$V = \frac{1}{3}\pi {R^2}h$$
Now, from the right $$\Delta BCD$$, we have:
\begin{align}&BC = \sqrt {{r^2} - {R^2}... | {
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"lm_q2_score": 0.822189134878876,
"openwebmath_perplexity": 2665.892231110638,
"openwebmath_score": 1.0000097751617432,
"tags": nul... |
If $C_n$ is the $n$-th Catalan number ($n$ being for our problem the number of places in one line, i.e. half the number of people), $$C_n ={1\over n+1}{2n\choose n}$$ and $${C_{n+1}\over C_n} = {2(2n+1)\over n+2}$$ or, if $C_0 = 1$ (there is exactly one way of arranging zero people: don't put them in any way), then: $$... | {
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"lm_q1_score": 0.9766692325496973,
"lm_q1q2_score": 0.8320760855957092,
"lm_q2_score": 0.8519527982093666,
"openwebmath_perplexity": 130.3001536669065,
"openwebmath_score": 0.5537537932395935,
"tags": null... |
quantum-information, quantum-entanglement, biophysics
Sure, for a quantum computer I'd like to have physically separated electrons maintain their entanglement, and I'd like to have fine-grained control over which of the electrons are entangled in which way etc, but for chemical processes in molecules such as these ear... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "quantum-information, quantum-entanglement, biophysics",
"url": null
} |
python, authentication, tkinter, canvas, user-interface
main.mainloop() Welcome to CodeReview! Your code is quite readable, but there are still ways to improve it:
Remove "magic" numbers
Whenever you write a number that is not 0 or 1 in your program think to yourself: what does this number represent?
self.config(bg='g... | {
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"openwebmath_score": null,
"tags": "python, authentication, tkinter, canvas, user-interface",
"url": null
} |
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