text stringlengths 1 1.11k | source dict |
|---|---|
order. (Identity matrix from \beta to \gamma) * (linear transformation matrix from \beta to \beta) * (identity matrix from \gamma to \beta) After calculating this (which is pretty lengthy) I get the matrix: \begin{pmatrix} 27/5 & -43/15 & 29/5 \\ 17/5 & -3/5 & 19/5 \\ 16/5 & -2 & 17/5 \end{pmatrix} The above matrix is ... | {
"domain": "herokuapp.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9759464492044004,
"lm_q1q2_score": 0.8352648879302103,
"lm_q2_score": 0.8558511469672594,
"openwebmath_perplexity": 388.79665395038523,
"openwebmath_score": 0.9748695492744446,
"tags":... |
The default is ALTERNATE.
Note:
The following option controls where the y axis tic marks, tic mark labels, and axis label are printed.
SET FACTOR PLOT Y AXIS <LEFT/RIGHT/ALTERNATE>
LEFT specifies that the y axis labels are printed on the left axis (on the first column only). RIGHT specifies that the y axis labels ar... | {
"domain": "nist.gov",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9884918489015606,
"lm_q1q2_score": 0.8341834321435428,
"lm_q2_score": 0.8438951045175643,
"openwebmath_perplexity": 2666.0468007491104,
"openwebmath_score": 0.5780541896820068,
"tags": null... |
c++, reinventing-the-wheel, vectors
template <typename T, class Allocator>
constexpr typename vector<T, Allocator>::const_reverse_iterator
vector<T, Allocator>::rbegin() const noexcept {
return const_reverse_iterator(end());
}
template <typename T, class Allocator>
constexpr typename vector<T, Allocator>::const_rev... | {
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"id": 35177,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c++, reinventing-the-wheel, vectors",
"url": null
} |
homework-and-exercises, kinematics, collision
If you can narrow the problem down to requiring interception to occur after a specified period of time, then you can find a constant acceleration $\underline{f}$ required by equating the position vectors of the two particles. These would take the form:
$$\underline{a}=\und... | {
"domain": "physics.stackexchange",
"id": 86073,
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"lm_name": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "homework-and-exercises, kinematics, collision",
"url": null
} |
general-relativity, black-holes, perturbation-theory
Title: Regarding Quasi-normal modes of black holes I am a Ph.D. student working on quasinormal modes of black holes. I am following the paper
https://ui.adsabs.harvard.edu/abs/1985ApJ...291L..33S/abstract which is perhaps the first paper on calculating quasinormal m... | {
"domain": "physics.stackexchange",
"id": 91659,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "general-relativity, black-holes, perturbation-theory",
"url": null
} |
sql, sql-server, t-sql, stackexchange, clustering
select UserId, Start.Day
from ActiveDays Start
where not exists (
select 1
from ActiveDays
where Start.UserId = UserId
and DateAdd(dd, -1, Start.Day) = Day
)
), StreakMerge as (
select A.UserId, A.Day, Max(S.Day) ... | {
"domain": "codereview.stackexchange",
"id": 11324,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "sql, sql-server, t-sql, stackexchange, clustering",
"url": null
} |
javascript, object-oriented, html, dom, user-interface
for (var i = 0; i < sliderOpt.slideProperties[0].length; i++) {
(function(e) {
navigationPanelButton[i].addEventListener("click", function() {
if (sliderOpt.autoRotate == true) {
clearInterva... | {
"domain": "codereview.stackexchange",
"id": 6843,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "javascript, object-oriented, html, dom, user-interface",
"url": null
} |
Define the sequence $\{ a_n\}$ as $a_n= \dfrac{x^n}{n!}$ for $x\in \mathbb R$ and $n\in \mathbb N$.
1. If $x=0$, it is trivial that $\lim a_n=0$
2. If $x>0$, then one has that
• For $n\in \Bbb N$, $a_n >0$.
• For $n$ sufficiently large (say $n \geq x$), it will be the case $$a_{n+1} = \frac{x^{n+1}}{(n+1)!}=\frac{x}... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.987758723627135,
"lm_q1q2_score": 0.8165917886273468,
"lm_q2_score": 0.8267117962054048,
"openwebmath_perplexity": 264.2504921652551,
"openwebmath_score": 0.9810930490493774,
"tags... |
ros, roscpp, service
int count = 0;
while (ros::ok()) {
std_msgs::Float64 msg;
std::stringstream ss;
ss get_water_level();
msg.data = tank->get_water_level();
ROS_INFO("%s", ss.str().c_str());
water_level_pub.publish(msg);
loop_rate.sleep();
++count;
... | {
"domain": "robotics.stackexchange",
"id": 20275,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros, roscpp, service",
"url": null
} |
cosmology
Hawking's original calculation of 1974-1976 performs a Bogoliubov transformation on the outgoing and incoming modes, assuming that the horizon-crossing modes look like vacuum. The calculation uses an eikonal approximation in the near horizon limit, and this means Hawking is really considering only the rate o... | {
"domain": "physics.stackexchange",
"id": 4527,
"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": "cosmology",
"url": null
} |
resonance
Title: What are the correct resonance structures of nitrous oxide? There was a question in one of my exam papers to draw the resonance structures for $\ce{N2O}$.
These are the ones I drew, but they were not awarded marks:
The ones in the marking scheme are as follows: | {
"domain": "chemistry.stackexchange",
"id": 3390,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "resonance",
"url": null
} |
mathematics, vqe, optimization
The derivative of this object is (supposing $\theta \in \mathbb{R}$ is a single parameter for simplicity)
$$\begin{align}
\frac{\partial}{\partial\theta} \mathrm{tr}_A(\rho(\theta)) &= \lim_{h \to 0} \left[ \frac{\sum_{i} (\langle i |_A \otimes \mathbb{I}_B) \rho(\theta + h) (|i \rangle_... | {
"domain": "quantumcomputing.stackexchange",
"id": 4781,
"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": "mathematics, vqe, optimization",
"url": null
} |
astronomy, history, observational-astronomy
The discovery by Galileo Galilei of Jupiter's moons also provided firm evidence of the existence of heavenly objects that, perversely, did not orbit the Earth.
Photo: Thomas Bresson (Galileo probably didn't have a Nikon / mobile phone handy)
Luckily, he had available a cor... | {
"domain": "physics.stackexchange",
"id": 6628,
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"lm_q1_score": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "astronomy, history, observational-astronomy",
"url": null
} |
java, mysql, xml
Title: Transfer XML data to database where table fields must match with elements This is my first Java program, where I have a class that gets XML data from a certain website and another class that does all the database related tricks. I omitted all non-related code to this case.
So the idea is simply... | {
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"id": 19655,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, mysql, xml",
"url": null
} |
catkin-make, tutorial, ubuntu, cv-bridge, raspberrypi
-- +++ processing catkin package: 'learning_image_transport'
-- ==> add_subdirectory(learning_image_transport)
CMake Error at
/home/pi/catkin_ws/devel/share/cv_bridge/cmake/cv_bridgeConfig.cmake:106
(message): Project 'cv_bridge'
specifies
'/home/pi/catkin_ws/src... | {
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"id": 21233,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "catkin-make, tutorial, ubuntu, cv-bridge, raspberrypi",
"url": null
} |
javascript, php, angular.js, ajax, laravel
when('/aboutus', {
templateUrl: '/aboutus',
controller: 'AddStudentController'
}).
when('/services', {
templateUrl: '/services',
}).
}]);
mainApp.controller('AddStudentController', function($scope, $http) {
$http.get('getusers').t... | {
"domain": "codereview.stackexchange",
"id": 32102,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "javascript, php, angular.js, ajax, laravel",
"url": null
} |
quantum-mechanics, particle-physics, quantum-spin, magnetic-moment, mesons
As Woolley noted, there is sort of a chiral uncertainty principle: an enantiomer can have a well-defined structure or a well-defined parity, but not both at the same time. | {
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"ur... |
Hope that I helped.
• In the first question, is it right to take cos(x^2) as u?
• If you choose cos(x^2) as your u, your du ends up being -sin(x^2)*2x*dx. You could rearrange the equation as du/-sin(x^2) = 2x*dx and replace the 2x*dx in the original equation accordingly, but you're still left with the x^2 inside the si... | {
"domain": "khanacademy.org",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9857180643966651,
"lm_q1q2_score": 0.903025790002759,
"lm_q2_score": 0.9161096084360388,
"openwebmath_perplexity": 2898.1105105813817,
"openwebmath_score": 0.6465572714805603,
"tags"... |
vba, web-scraping, vbscript
Call CreateVBAgentCode((rowNumber), (columnNumber), (EUR), (sourceCurrency), (sYear), (agentNumber))
agentNumber = agentNumber + 1
rowNumber = rowNumber + 12
Call CreateVBAgentCode((rowNumber), (columnNumber), (GBP), (sourceCurrency), (sYear), (agentNumber))
... | {
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"id": 21641,
"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": "vba, web-scraping, vbscript",
"url": null
} |
cosmology, hubble-constant
Systematic errors in the data collection, including in the use of the Cepheid variables used for the measurements.
Small-scale variations in the Hubble constant, which appear unlikely to have propagated through the data.
Systematic errors in the Planck results.
Corrections needed to the $\La... | {
"domain": "astronomy.stackexchange",
"id": 3568,
"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": "cosmology, hubble-constant",
"url": null
} |
thermodynamics, physical-chemistry, diffusion
If the motion of the particles is random, then we would expect that the probability that any individual particle hops into the adjacent region would be the same. If this is the case, then the net flow of particles between two adjacent regions will be (i) from high concentr... | {
"domain": "physics.stackexchange",
"id": 73609,
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"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "thermodynamics, physical-chemistry, diffusion",
"url": null
} |
quantum-mechanics, electromagnetism, particle-physics, quantum-spin
By applying an external magnetic field, one influences the subtle alignment of the magnetic dipoles of the particles within the atoms and between the molecules and the material as a whole
At very low temperatures, the photon exchange between the atom... | {
"domain": "physics.stackexchange",
"id": 68800,
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"lm_q1_score": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "quantum-mechanics, electromagnetism, particle-physics, quantum-spin",
"url": nul... |
### Show Tags
08 Aug 2018, 01:29
Is there a glitch ?
How come my post went to page 1 ?
Director
Joined: 09 Mar 2016
Posts: 746
Re: How many trailing Zeroes does 49! + 50! have? [#permalink]
### Show Tags
08 Aug 2018, 01:34
CounterSniper wrote:
Is there a glitch ?
How come my post went to page 1 ?
i marked it as th... | {
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"id": null,
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9449947117065459,
"lm_q1q2_score": 0.821036721772736,
"lm_q2_score": 0.8688267898240861,
"openwebmath_perplexity": 3301.3093347469166,
"openwebmath_score": 0.7690377235412598,
"tags... |
homework-and-exercises, forces
Force is a vector, so it has magnitude and direction. In the diagram above I've drawn three forces, $F$, that all have the same magnitude but point in different directions. You can tell the forces all have the same magnitude because they all end on the same circle (drawn dotted) with it'... | {
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"id": 5073,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "homework-and-exercises, forces",
"url": null
} |
vba, excel, time-limit-exceeded
LSTART.List = dataOut
End If
End With
End Sub Worksheet functions like CountIf are pretty well optimized, so that's a good way to find out if TXTBUSCAART.Text is in column A of your dataSheet. but so is Find.
By using Find, you could eliminate the initial step (CountIf) t... | {
"domain": "codereview.stackexchange",
"id": 31974,
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"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "vba, excel, time-limit-exceeded",
"url": null
} |
model-checking, software-verification, transition-systems
I understand how all the shown states and transitions of this ITS were gotten, however, why is there no transition from state (l1,q1) to (l3,q2)--as would be expected if both TS1 and TS2 transitioned on action a? By definition, the interleaving operator is not ... | {
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "model-checking, software-verification, transition-systems",
"url": null
} |
So if x = 3 and the output is 1/3 then to get back to the 3 you have to (f(x))^-1
What am i getting wrong, or am I just doing something tautological without realising it?
First, to be clear, an involution is not an inverse -- it is a function that is its own inverse.
Also, it's possible that you are confusing f^-1 wi... | {
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"lm_q1_score": 0.9777138190064203,
"lm_q1q2_score": 0.8126200495962483,
"lm_q2_score": 0.831143054132195,
"openwebmath_perplexity": 709.2376829933124,
"openwebmath_score": 0.8134908080101013,
"tags"... |
turing-machines, computation-models, tape-complexity
This means that any linear-time preprocessing you do before the main part of your algorithm can't affect the asymptotic running time. So, in particular, you can check that, for example, your single input tape consists of three binary numbers separated by semi-colons... | {
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"id": 3709,
"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": "turing-machines, computation-models, tape-complexity",
"url": null
} |
cross-validation, model-evaluations
But very often the goal involves not only measuring performance accurately but also measuring the variance of the performance across the folds, in order to detect instability. This can't be done from the concatenation of the predictions, so it's often more convenient to keep the fol... | {
"domain": "datascience.stackexchange",
"id": 7068,
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"lm_name": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "cross-validation, model-evaluations",
"url": null
} |
ros-melodic
I solved it. The problem was related to libboost-dev version since there were two library versions installed in the system. I removed the version 1.71 and I reinstalled ROS from apt-get and this solved the issue. Now the code works fine also with the emulated Ubuntu system. | {
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "ros-melodic",
"url": null
} |
javascript, json, angular.js, asynchronous, ajax
var secondFile = resource.get({ id: 2, ext: '.json' });
secondFile.$promise.then(function (data) {
combinedJSON += JSON.stringify(data) + ",";
// Third Call
var thirdFile = resource.get({ id: 3, ext: '.json' });
th... | {
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"id": 27130,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "javascript, json, angular.js, asynchronous, ajax",
"url": null
} |
group-theory, renormalization
$$ T(s_1 s_2) = T(s+\delta s) = T(s) + \delta s \frac{dT}{ds'}\bigg|_{s=s'} + O(\delta^2)$$
while on the other hand
$$ T(s_1 s_2) = T(s) T(1+\delta) = T(s) \left[ 1+\delta \frac{dT}{ds}\bigg|_{s=1}+O(\delta^2)\right]$$
where we used $T(1)=1$. Comparing we get the equation
$$ s \frac{dT}{d... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "group-theory, renormalization",
"url": null
} |
performance, sql, csv, vb.net
If result = Windows.Forms.DialogResult.OK Then
TextBox1.Text = FolderBrowserDialog1.SelectedPath
End If
End Sub
Private Sub SQL_Data_Form_FormClosing(sender As System.Object, e As System.Windows.Forms.FormClosingEventArgs) Handles MyBase.FormClosing
D... | {
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"id": 19914,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "performance, sql, csv, vb.net",
"url": null
} |
qiskit
Title: Is this a measure of how similar two quantum circuits are? Suppose there are two independent quantum circuits with two qubit inputs and full measurements on the outputs. Finally we measure these two independent quantum circuits. Then perform the inner product operation on the measured results UA|inputs1>... | {
"domain": "quantumcomputing.stackexchange",
"id": 3649,
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"lm_name": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "qiskit",
"url": null
} |
# Solve: $x = (x-\frac{1}{x}) ^ {1/9} + (1-\frac{1}{x})^{1/9}$
Solve: $$x = \left(x-\frac{1}{x}\right) ^ {1/9} + \left(1-\frac{1}{x}\right)^{1/9}$$
Simplifying, $$x^{10/9} = (x^2-1)^{1/9}+(x-1)^{1/9}$$
I don't know how to start. Any hint will be helpful.
• Hint: you can write $x^2-1$ as $(x+1)(x-1)$ Feb 2 '16 at 14:... | {
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"lm_q1_score": 0.9783846640860382,
"lm_q1q2_score": 0.8315987668968019,
"lm_q2_score": 0.8499711794579723,
"openwebmath_perplexity": 147.9831206487534,
"openwebmath_score": 0.9139956831932068,
"tag... |
python, python-3.x, parsing, meta-programming
@match("FUNC_CALL_START", ",")
def ignore_comma(self, func, separator):
self.pop(1)
@match("FUNC_CALL_START", "integer|NAME_GRP|FUNC_CALL", ",|)")
def add_func_arg(self, func, arg, separator):
self.pop(2)
func.contents[1].contents.appen... | {
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general-relativity, spacetime, warp-drives
It's a bit like saying thing A is to the right of thing B. It's not like it's wrong so much as almost meaningless. A different perspective would disagree. But that's simply because left/right isn't an objective thing. People disagree but it isn't something that matters.
What ... | {
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Proof sketch of part 1:
## Sunday, June 30, 2013
### Q - Robinson Arithmetic
Now that we are familiar with Baby Arithmetic (BA), we can make its language more expressive by allowing variables and quantifiers back into its logical vocabulary. When we do this, we simply obtain the interpreted language LA, that was des... | {
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python, algorithm, python-3.x
noNewSolutionAdded = 0
if new_jugA_state == targetVol or new_jugB_state == targetVol or new_jugC_state == targetVol:
print (targetVol,"ml reached in", runningTotal+1,"steps")
print_Steps_Taken(previousSteps + [listPosition-1])
r... | {
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THEOREM $\rm\quad (a,b)\ =\ (ac,bc)/c\quad$ if $\rm\ (ac,bc)\$ exists.
Proof $\rm\quad d\ |\ a,b\ \iff\ dc\ |\ ac,bc\ \iff\ dc\ |\ (ac,bc)\ \iff\ d|(ac,bc)/c$
See my post here for further discussion of this property and its relationship with Euclid's Lemma.
Recall also how this universal approach simplifies the proo... | {
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And by transitivity $$\sum_{k = 1}^{m+1}\frac{1}{k^2} \leq 2 -\frac{1}{m+1}$$ was proved.
But I don't know if this is a valid induction proof and if not, what is the type of this proof?
• Yes it is an inductive proof and it looks correct to me. – sudeep5221 Apr 16 at 1:53
• is not strictly neccessary get the some sid... | {
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obtained from A by replacing the column by v and then by w (and a similar relation holds when writing a column as a scalar multiple of a column vector). In other words, if all the main diagonal of a square matrix are 1’s and rest all o’s, it is called an identity matrix. Then move the matrix by re-writing the first Ele... | {
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"openwebmath_score": 0.8101840019226074,
"tags... |
python, cython, compiler
Cyther has been published on pypi. I will give a quick overview of some aspects that I found at a first glance. Unfortunately, I could not spare the time to do an in-depth analysis of the cross-plattform capabilites and/or thorough testing of your program. As I find your idea very interesting,... | {
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math, chatgpt, automated-theorem-proving, philosophy-of-math
1 Note the different notation, $\mathcal{M}$, with respect to the previous one, $M$.
2 Similarly, note the different notation, $\Phi$, with respect to the previous one, $\varphi$. | {
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homework-and-exercises, oscillators
Sorry that I don't have any pictures to clarify this. Feel free to ask if anything is unclear. | {
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Using this in $(0)$ and $(2)$ immediately leads to $\;Bo \equiv \text{false}\;$ and $\;Ba \equiv \text{false}\;$, respectively. And plugging that last conclusion into $(1)$ gives us $\;Ma \equiv \text{false}\;$. | {
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"tag... |
to quadratics since it can be viewed as a quadratic in a new variable (x n below). A binomial is a … In general g(x) = ax 2 + bx + c, a ≠ 0 is a quadratic polynomial. (2x + ? Solution . Quality resources and hosting are expensive, Creative Commons Attribution 4.0 International License. Now you’ll need to “undo” this mu... | {
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"openwebmath_perplexity": 731.534725235518,
"openwebmath_score": 0.6123183965682983,
"tags": nul... |
This makes your question impossible to search and inaccessible to the visually impaired; finite automata that accepts integers divided by 3? If I try 5 mod 3 or 101 mod 11 that would be 2, which in binary is 10. Remove white line in painted multirow tabular. This is an NFA, so a 2-bit transition goes through an interme... | {
"domain": "eslo-info.org",
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"lm_q1q2_score": 0.8388801353120098,
"lm_q2_score": 0.884039278690883,
"openwebmath_perplexity": 645.9422291902057,
"openwebmath_score": 0.2016274482011795,
"tags... |
complexity-theory, computability
Every even integer greater than two is a sum of two primes.
The class $\mathcal{C}$ contains all statements of the form:
For all natural $n_1$ there exists natural $n_2$ such that for all natural $n_3$ there exists natural $n_4$ such that ... there exists natural $n_{2m}$ such that $... | {
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"tags": "complexity-theory, computability",
"url": null
} |
concurrency, databases
Title: Who needs linearizability? I've been reading about the differences between serializability and linearizability, which are both consistency criteria for replicated systems such as replicated databases. However, I don't know in which cases linearizability would be needed, even though it's s... | {
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"tags": "concurrency, databases",
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# determining if sequence has upper bound
I am somewhat stuck in my calculations when determining if sequence has an upper bound.
The sequence $$x_n = \frac{1}{n+1}+\frac{1}{n+2}+..+\frac{1}{2n-1}+\frac{1}{2n}$$ Is equal to $$\frac{1}{n}(\frac{1}{1+\frac{1}{n}}+\frac{1}{1+\frac{2}{n}}+..+\frac{1}{1+\frac{n}{n}})$$
A... | {
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"lm_q2_score": 0.8807970764133561,
"openwebmath_perplexity": 339.7295681078063,
"openwebmath_score": 0.8192958831787109,
"tag... |
quantum-field-theory, string-theory, electrons, kinetic-theory, chaos-theory
Now suppose we are not perfectly at equilibrium so that $F_{\alpha\beta}(p_1) \approx n_0$, but $F_{\alpha\beta}(p)$ is generally different from $n_0$ on the constant-energy surface determined by the delta function. Then, ignoring constant pr... | {
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"tags": "quantum-field-theory, string-theory, electrons, kinetic-theory, chaos-theory",
"... |
fluid-dynamics, flow
$$y = \frac{m}{2\pi U}\arctan{\frac{2x_0 y}{x^2 + y^2 - x_0^2}}$$
Now this streamline is called the $\textbf{Rankine Oval}$.
$\textbf{My question is:}$ How can I prove that it is indeed an oval from the above equation? I am not familiar with any 'oval equations'. My intuition says that it is not... | {
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cell-biology, enzymes
So the real answer is that it all depends on the specific protein. It also depends on how much you heat the enzyme, and how much of its 3D structure you affect, if you only partially denature an enzyme, it's more likely to refold than one that's been completely denatured. However, if you want an ... | {
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"tags": "cell-biology, enzymes",
"url": null
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ros, laser, scanner
Originally posted by ish45 on ROS Answers with karma: 151 on 2014-11-13
Post score: 0
You should probably learn to use the basic ROS tools. rostopic info /base_scan will tell you the message type that is being published and rosmsg show sensor_msgs/LaserScan will display that message type for you.
... | {
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"tags": "ros, laser, scanner",
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quantum-mechanics, quantum-information, faster-than-light
What am I missing?
Note: the difference between seeing an "interference pattern" and not seeing one is not a definite thing. Given a pattern created by say, 100 electrons, we could only say this "looks" like an interference pattern. But this is still informatio... | {
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"tags": "quantum-mechanics, quantum-information, faster-than-light",
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c#, interpreter, brainfuck, compiler
The result of this is:
Cell No : 0 1 2 3 4 5 6
Contents: 0 0 72 104 88 32 8
Pointer : ^
>>. Cell #2 has value 72 which is 'H'
>---. Subtract 3 from Cell #3 to get 101 which is 'e'
+++++++..+++. Likewise for '... | {
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"tags": "c#, interpreter, brainfuck, compiler",
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velocity, units, dimensional-analysis, unit-conversion
Converting to natural units,
$$\frac{v_{SI}^2}{c^2} = 5.38 \times 10^{-7}$$
which I also obtain if I square the velocity in natural units,
$$v_{nat}^{2} = 5.38 \times 10^{-7}$$
However, I find this counter intuitive, because while working entirely in conventional ... | {
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"tags": "velocity, units, dimensional-analysis, unit-conversion",
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particle-physics, homework-and-exercises
I know that the EM interaction cannot change flavor, but I’m not sure how this rule applies to the $u\overline{u} \rightarrow s\overline{s}$ annihilation indicated in this diagram. Is it valid to say that since there is no ‘net’ flavor on either side, the photon could be the bo... | {
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"tags": "particle-physics, homework-and-exercises",
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of quadrilateral in the problem, since different types of quadrilaterals require different equations. And a trapezoid is a convex quadrilateral, and sometimes the definition here is a little bit-- different people will use different definitions. Quadri The complex quadrilateral has other names, too: butterfly, crossed ... | {
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"openwebmath_perplexity": 508.2927559981189,
"openwebmath_score": 0.60982328653335... |
pressure, chemical-engineering, gas, safety, compressed-gases
Title: Do pressurised cans still pose a risk to bursting in normal conditions, but after being exposed to heat? We're planning on shipping some items from the US to Australia as you cannot get them here, that being:
https://www.chewy.com/sentry-stop-that-no... | {
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"tags": "pressure, chemical-engineering, gas, safety, compressed-gases",
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fluid-dynamics, buoyancy, perpetual-motion
My Solution:
Water pressure increases as you increase in depth, so the water molecules hitting the log deeper in the water would have more force that the water molecules hitting the log less deep, but at each infinitesimal depth increase, the water is hitting the log at all a... | {
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"tags": "fluid-dynamics, buoyancy, perpetual-motion",
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java, algorithm, interview-questions
Title: Grouping Anagrams Please be über brutal, and treat this as a technical interview question.
I was wondering how this function that I wrote looks like. It groups together words that have the same alphabets (i.e anagrams).
Time Complexity: \$O(n^2)\$
Space Complexity: \$O(n)\... | {
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rviz, rosbag, transform, pointcloud
Title: displaying point cloud in rviz from .bag files, error
I am trying to read .bag files, display the point cloud data in rviz.
rosbag play -l refined_point_clouds.bag
[ INFO] [1313454488.757094980]: Opening refined_point_clouds.bag
Waiting 0.2 seconds after advertising topics... | {
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"tags": "rviz, rosbag, transform, pointcloud",
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} |
inorganic-chemistry, extraction
I have done this, kind of successfully, but I want to know what is the chemistry behind all that, and how would you calculate the amounts of reagents needed? If you want to save the iodine $\ce{I_2}$ from its solution, you may add enough $\ce{KOH}$ or $\ce{NaOH}$ in the mixture to trans... | {
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"tags": "inorganic-chemistry, extraction",
"url": null
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ruby, datetime, formatting, extension-methods
I would say this is one prime example of a situation in which you just don't waste your time in an attempt to make the linter happy. Extracting methods is going to clutter things up and look dumb.
The only viable option that I can think of right now is sticking those range... | {
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"tags": "ruby, datetime, formatting, extension-methods",
"url": null
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general-relativity, field-theory, commutator, covariance, poisson-brackets
The temporal gradients can be eliminated by $field_{,0} = \{field,\mathcal{H}\}$, some first order gradients will be possible to eliminate by substituting
$$\pi_\mu V^{\mu}_{\;,0} - \mathcal{L} = \mathcal{H}\,.$$
As for the commutators of gradi... | {
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"ur... |
# [SOLVED]A probability question: choosing 3 from 25
#### first21st
##### New member
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
A. 21/46
B. 25/117
C. 1/50
D. 3/25
Could you please solve this problem with proper explanati... | {
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"openwebmath_score": 0.6770955920219421,
"ta... |
regular-languages, regular-expressions
If you have a constraint regarding the use of parentheses, you should state it in your question. Is there a reason for the constraint ?
Find more details in the answer to your other question about this language, and a comment on how to better write the question. | {
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• ...You are right, there is a partitioning for n = 4: "1 -> 2 -> 3 -> 4", "4 -> 3 -> 2 -> 1", "2 -> 4 -> 1 -> 3" and "3 -> 1 -> 4 -> 2", if I'm not mistaken. I just didn't see it, because these Hamilton paths aren't using consecutive edges on the Euler path. The Euler path was a trap all along, and now I feel silly. –... | {
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"openwebmath_score": 0.4973297119140625,
"ta... |
beginner, ruby, number-guessing-game
firstRun = false
end
proposedN = gets.chomp.to_i
if proposedN == numberToGuess
firstRun = true
puts "You found the correct number : #{numberToGuess}"
puts 'Another try ? (Y/N)'
numberToGuess = rand(10)
response = gets.chomp
... | {
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"tags": "beginner, ruby, number-guessing-game",
"url": null
} |
html, css
}
.colophon{
border-left:5px solid blue;
width:875px;
padding:0 5px; /* add padding to make border and left/right edges line up with main area */
margin:0 auto;
text-align:center;
background-color:white;
}
.logo{
position:absolute;
l... | {
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string-theory, diffeomorphism-invariance
We still have to confirm the diff-invariance of the fixed vertex operators but this is easy enough to see even in the case of a finite coordinate transformation.
Given the diff-Weyl invariance of the scattering amplitude, we can now answer my question about the independence of ... | {
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"tags": "string-theory, diffeomorphism-invariance",
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randomized-algorithms, randomness, pseudo-random-generators
In common practice, randomized algorithms are approximated using a pseudorandom number generator in place of a true source of random bits; such an implementation may deviate from the expected theoretical behavior. | {
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/// [mesh]
// create the mesh (specify the dimension of geometric entity)
auto mesh = loadMesh( _mesh=new Mesh<Simplex<2>> );
/// [mesh]
/// [expression]
// our function to integrate
auto g = expr( soption(_name="functions.g") );
/// [expression]
/// [integrals]
// compute integral of g (global contribution): $\int_{... | {
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"tags": null... |
rosjava, android
Add android_core dependencies to build.gradle
compile('org.ros.android_core:android_10:0.2.0') {
exclude group: 'junit'
exclude group: 'xml-apis'
}
The project syncs/builds fine but my changes are not included in android_10 external libraries.
Any ideas? Why would the changes not be included in the b... | {
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"tags": "rosjava, android",
"url": null
} |
renewable-energy, solar-cells
Using @Martin Beckett's figure of 2000kWh/y, that means, roughly, that your annual production would be approximately 2000 hours x the installed capacity of your PV array. So if you had a 1kW capacity system, you might expect to get 2 000 kWh of electricity in an average year.
That's assum... | {
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"tags": "renewable-energy, solar-cells",
"url": null
} |
quantum-field-theory, propagator, wick-rotation, analyticity
The expression I calculated for $I_M(p_0)$ is valid for all real $p_0$. We could have equally calculated via Feynman parameterization, and obtained $I_M(p_0)$ for real $p_0$. However if we did the same calculation via Feynman parameterization for $I_E(p_0)$,... | {
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"tags": "quantum-field-theory, propagator, wick-rotation, analyticity",
"url": null
} |
quantum-information, quantum-computer, reversibility, algorithms
However, since all quantum computation is reversible, can't one simply run the inverse of each step in $f$ in reverse in order to obtain $x$ from $y$? Not really. Quantum computations are reversible in a very specific sense, which is not amenable to what... | {
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"tags": "quantum-information, quantum-computer, reversibility, algorithms",
"url": null
} |
homework-and-exercises, kinematics, speed
Title: How far from the starting point do the pieces fall on ground An object is thrown with speed 20 m/Sunder the angle pi/3 rad with the horisontal direction. In the highest point, the object is divised into two pieces with same weights. One of them, after the division has t... | {
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"openwebmath_score": null,
"tags": "homework-and-exercises, kinematics, speed",
"url": null
} |
mrna, ribosome, codon
In principle, replacing a UAA stop codon by a UGA stop codon should still allow termination of translation, especially in an environment in which UAA is the only stop codon. The only possible problem I can see is that of possible readthough, which can occur in certain sequence environments. Howev... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "mrna, ribosome, codon",
"url": null
} |
nuclear-physics, dark-matter, experimental-technology
To design an experiment, other aspects come into play. Most importantly, what is the level of background radiation? Low-radioactivity targets will have a huge advantage. What is the cost of the material? Liquid xenon can be cheaper than highly instrumented crystals... | {
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"tags": "nuclear-physics, dark-matter, experimental-technology",
"url": null
} |
c#, reinventing-the-wheel, csv, generics, serialization
//Filters out non accpted Types
private List<ValidType> FilterProperties(List<PropertyInfo> properties, ICollection<string> cleanColumnNames = null)
{
List<ValidType> output = new List<ValidType>(); | {
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"tags": "c#, reinventing-the-wheel, csv, generics, serialization",
"url": null
} |
beginner, c, tic-tac-toe, ai, curses
if(playable_spaces[1] == side && playable_spaces[2] == side){
pick = space;
picked = 1;
}else if(playable_spaces[3] == side && playable_spaces[6] == side){
pick = space;
... | {
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"tags": "beginner, c, tic-tac-toe, ai, curses",
"url": null
} |
kinematics, units
Title: Integrating Equations with Units - 2023 I have a worked example from a recorded lecture and lecture notes which I am having difficulty with regarding Rectilinear Motion in Mechanical Dynamics.
When I asked my lecturer about the following, I was advised that since velocity is a function of time... | {
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"tags": "kinematics, units",
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potential, vector-fields, gauge-invariance
No, I don't think the critique of the papers is wrong;
Nor do I think that the basic algebraic arguments in the three papers addressed by the critique are wrong either. The authors describe a particular "decomposition" of the electromagnetic fields into a static part and dyna... | {
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"tags": "potential, vector-fields, gauge-invariance",
"url": null
} |
electrostatics, potential
Why do the integrals have this form when $r'$ is large? Griffiths is considering cases where $\mathbf r$ is in the support of the charge and current distributions, and $\mathbf r'$ is very far from it. This means that, to leading order,
$$
|\mathbf r'-\mathbf r|
=\sqrt{{ r'}^2-2\mathbf r\cdot... | {
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"tags": "electrostatics, potential",
"url": null
} |
information-theory, data-compression, hashing
Title: Practicality of compressing data with hashing algorithms I want to compress the string 0cc175b9c0f1b6a831c399e269772661. I can do so by storing the string a, and, when decompressing, using a as input for the MD5 hash algorithm to get the original string.
I realize i... | {
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"tags": "information-theory, data-compression, hashing",
"url": null
} |
# In a noetherian integral domain every non invertible element is a product of irreducible elements
I want to prove that in a noetherian ring $R$ which is also an integral domain, every non invertible element can be expressed as product of irreducible elements.
I really do not know where to start. Can someone give me... | {
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"tag... |
python, python-2.x
But let's continue.
Assumptions:
Shorten means lessen the number of characters
Neatness of the code matters
Ways to shorten the code:
Change height to h and width to w
Convert ("--" * w) + "--" to "--" * (w+1)
Join the two inputs using raw_input and map:
h, w = map(int, raw_input("Enter EVEN 'hei... | {
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"tags": "python, python-2.x",
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} |
ros-melodic
Title: Trying install a package
hi, i want install this package for Sawyer robot because that's required as follow
sudo apt-get install ros-melodic-sns-ik-lib
i have ros melodic and the error it's this
Reading package lists... Done
Building dependency tree
Reading state information... Done
E: Unable to lo... | {
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kinematics, inverse, ikfast, openrave, robot
From these files, we are able to convert the URDF to collada succesfully as explained in the tutorial using :
rosrun collada_urdf urdf_to_collada
my_robot.urdf ericc_collada.dae | {
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"tags": "kinematics, inverse, ikfast, openrave, robot",
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graphs, heuristics, search, a-star-search
triangle inequality is almostly same as formula in math and direct distance satisfies it naturally. That's why it's usual to use direct distance as a heuristic(if allowed). | {
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"tags": "graphs, heuristics, search, a-star-search",
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neural-network
Title: What does the activation of a neuron mean? In a neural network, each neuron will have it's activation.
But what the activation mean?
Does it just mean nothing but a temporal value to produce the final result or it's has something to with our understanding to the problem?
For example, considering ... | {
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"tags": "neural-network",
"url": null
} |
complexity-theory, reductions, polynomial-time-reductions
This reasoning is also held for the class $\textbf{P}$, which is why we have log-space reductions defined here. But when we are talking about $\textbf{NP}$ we deal with polynomial-time reductions. By same logic, I should be allowed exponential-time reductions f... | {
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"tags": "complexity-theory, reductions, polynomial-time-reductions",
"url": null
} |
superconductivity, metals, chemical-potential, tight-binding, fermi-energy
\begin{equation}
H = \sum_k \left[A^{\dagger}_k\quad B^{\dagger}_k \quad A_{-k} \quad B_{-k}\right]\begin{bmatrix}
-\mu & \gamma_k & 0 & 0 \\
\gamma_k & -\mu & 0 & 0 \\
0 & 0 & \mu & -\gamma_k \\
0 & 0 & -\gamma_k & \mu
\end{bmatrix}
\begin{bma... | {
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"tags": "superconductivity, metals, chemical-potential, tight-binding, fermi-energy",
"ur... |
for i in range(len(xv)):
plt.text(xv[i]+0.1,yv[i]+0.1,f'({xv[i]},{yv[i]})')
#objective contours
CS = plt.contour(x,y,obj,np.arange(1,7))
plt.clabel(CS, inline=1, fontsize=10)
#optimal point
plt.plot([xopt],[yopt],marker='o',color='orange',markersize=10)
plt.xlim(0,5); plt.ylim(0,3); plt.grid(); plt.tight_layout()
plt.l... | {
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"lm_q1_score": 0.977022630759019,
"lm_q1q2_score": 0.8032973872840264,
"lm_q2_score": 0.8221891305219504,
"openwebmath_perplexity": 6746.7436361243235,
"openwebmath_score": 0.9750073552131653,
"tags": ... |
homework-and-exercises, newtonian-gravity, orbital-motion, unit-conversion, galaxy-rotation-curve
using that the gravitational force is equal to the centripetal force;
by Kepler's third law
But, in both cases, what I get is the total mass of the Galaxy, in kilograms.
To estimate this mass in solar masses, I need to k... | {
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"tags": "homework-and-exercises, newtonian-gravity, orbital-motion, unit-conversion, galaxy... |
ros, gps
Originally posted by Ryan with karma: 3248 on 2014-12-10
This answer was ACCEPTED on the original site
Post score: 3
Original comments
Comment by T00Tall on 2014-12-10:
Thank you for you're answer. Do you happen to know of any database of nmea compatible devices? To top off my request I forgot to mention we ... | {
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"tags": "ros, gps",
"url": null
} |
below the diagonale those. In shaders, map systems, and exploits this encoding in building programs illustrating key results of computability perfect... Pair ( 9, 9 ) = 200 maximum integer value have personally used pairing functions work natively with input! On two vectors of equal length �� { 1Ji��+p @ { �ax�/q+M��B�... | {
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"openwebmath_perplexity": 1349.1221608188678,
"openwebmath_score": 0.7441880106925964,
"tag... |
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