text stringlengths 49 10.4k | source dict |
|---|---|
turing-machines, computability, artificial-intelligence, philosophy
There's one way I can see how current "AI" could help us with translating more human abilities into machine code: "AI" could help us improve our understanding of neurobiology.
You may argue that imitating human abilities is good enough. In that case, ... | {
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"tags": "turing-machines, computability, artificial-intelligence, philosophy",
"url": null
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electromagnetism, maxwell-equations, magnetostatics
The first transformation we consider is rotation about the $x$ axis. It can be seen that this transformation reverses the $\phi$ and $z$ component, but leaves the $\rho$ component. So its effect is $(+,-,-)$.
The next transformation we will consider is simply inverti... | {
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so if
$$5^{1/2} \in \Bbb Q(5^{1/7}), \tag{15}$$
then
$$\Bbb Q(5^{1/2}) \subset \Bbb Q(5^{1/7}), \tag{16}$$
and then
$$[\Bbb Q(5^{1/7}):\Bbb Q] = [\Bbb Q(5^{1/7}):\Bbb Q(5^{1/2})] [\Bbb Q(5^{1/2}): \Bbb Q] \Longrightarrow 2 \mid 7, \tag{17}$$
impossible! (And here of course we use the fact that $$[\Bbb Q(5^{1/2}):... | {
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"lm_q2_score": 0.8175744806385542,
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"openwebmath_score": 0.817223310470581,
"tag... |
performance, c, matlab, vectorization
The code can be compiled with:
mex CFLAGS='$CFLAGS -fopenmp -Ofast -funroll-loops' ...
LDFLAGS='$LDFLAGS -fopenmp -Ofast -funroll-loops' ...
COPTIMFLAGS='$COPTIMFLAGS -fopenmp -Ofast -funroll-loops' ...
LDOPTIMFLAGS='$LDOPTIMFLAGS -f... | {
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"tags": "performance, c, matlab, vectorization",
"url": null
} |
optics, conventions, reflection
Title: The sign convention paradox I encountered a type of problem in optics where we have to shift an object in front of mirror or lens but there has been an element of confusion in it. When we shift something like 'd' distance away or closer to the mirror to some existing distance lik... | {
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# Truth Table Precedence
#### lyd123
##### New member
Hello!
The question is attached.
I know that " $\implies$ " (implies) has precedence from right to left. But because " l- " appears after
P$\implies ($Q $\implies$ R ), in my truth table do I evaluate:
(P$\implies ($Q $\implies$ R ) ) $\implies$ ((P$\implies$Q )... | {
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... |
c#, asynchronous, socket
_remainderStream.Write(message, delimeterIndex + 1, count + offset - delimeterIndex - 1); // should be count + offset - delimeterIndex - 1
I found them while trying to write this test:
public void Partial_Writes_Are_Not_Completely_Broken()
{
// Arrange
var msg = "fish fish fish\r\nfox... | {
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• Ah thank you I realise what I did wrong now. Any idea on if my solution is correct for the second bit? May 30 '18 at 17:15
• From 5 blue things, choose 3 of them - 5C3. From 5 red things choose 0 of them, 5C0. Then divide by the sample space which is 10C3. So you get (5C3*5C0)/(10C3) = 10/120 = 1/12. Thus your soluti... | {
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"lm_q2_score": 0.8757869803008764,
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"tag... |
We can simplify things a bit by observing that $$1+(k+1)\delta x -\left(1+k\delta x\right) = \delta x.$$ So the hypotenuse of a triangle is $$\sqrt{\left(\delta x\right)^2 +\left(\left(1+(k+1)\delta x\right)^3-\left(1+k\delta x\right)^3\right)^2}.$$ Next, we recall that $\left(1+k\delta x\right)^3 = f(1+k\delta)$ and $... | {
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"lm_q1_score": 0.9886682444653241,
"lm_q1q2_score": 0.812872286445385,
"lm_q2_score": 0.8221891327004133,
"openwebmath_perplexity": 275.3712084090698,
"openwebmath_score": 0.9315614104270935,
"tags... |
it.information-theory, coding-theory
Title: Gift bits when encoding a sequence of messages, how is that? Recently a friend of mine asked a question I couldn't give immediate answer to.
Say we have $ n $ messages of length $ m $ bits each. Now we can pack them in a single message of length $ n * m $ bits. So far so goo... | {
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ros, rosbag, stream
with roslaunch
You can use the previous method but instead of launching "rqt_plot", just launch rqt (with "rqt" or "rosrun rqt rqt")
Then go to plugin > visualization > Plot
Choose the topic you want.
Click on perspective > Export... and save the perspective file where you want (an easy path if po... | {
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noise, gaussian, self-study, random-process, covariance
Title: Covariance matrix associated with random DC level in Gaussian noise Given a signal
$x[n] = A + w[n]$
where $A$ is a Gaussian random variable and $w[n]$ is Gaussian white noise, then the covariance matrix of the signal is given by
$[C(\sigma^2_A)]_{ij}=E[... | {
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"tags": "noise, gaussian, self-study, random-process, covariance",
"url": null
} |
neuroscience, neurophysiology, action-potential
What does the time constant τ(V) and its dependence on V mean? In which respect and by which hypothesised mechanism is the gate "faster", when τ is smaller?
The time constant is a scalar that describes the rate at which the system approaches some equilibrium. You could ... | {
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ros, arduino, imu, rosserial, rosserial-python
What could be the cause of this error? Is this a code issue? Here's my arduino code:
#include <ros.h>
#include <std_msgs/String.h>
#include <std_msgs/Float64.h>
#include <sensor_msgs/Imu.h>
ros::NodeHandle nh;
sensor_msgs::Imu data;
ros::Publisher p("imu", &data);
cha... | {
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"url": null
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Edit: For $k=2$ and $n=2$ the map $F(\mathbb{R}^2,r) \times_{\Sigma_r} \mathbb{R}^{2r} \to \mathbb{R}^{2r}$ taking $[z,\xi] = [z_1, \dots, z_r, \xi_1, \dots, \xi_r]$ to $$(\sum_i \xi_i, \sum_i z_i \xi_i, \dots, \sum_i z_i^{r-1} \xi_i)$$ trivializes the source as an $\mathbb{R}^{2r}$-bundle over $F(\mathbb{R}^2,r)/\Sigm... | {
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"lm_q1_score": 0.976310525254243,
"lm_q1q2_score": 0.8177771923015695,
"lm_q2_score": 0.8376199694135332,
"openwebmath_perplexity": 194.54374732856158,
"openwebmath_score": 0.8756481409072876,
"tags... |
quantum-mechanics, wavefunction, observers, quantum-interpretations, quantum-measurements
I do not know however how to interpret it regarding the wavefunction. Does it mean the observer's wavefunction indeterminate, singular or inexistent?
UPDATE.
And this this paper says it all. There will be subjective decoherence o... | {
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Question 32
Consider the following problem X.
Given a Turing machine M over the input alphabet Σ, any
state q of M And a word w∈Σ*, does the computation of M
on w visit the state q?
Which of the following statements about X is correct?
A X is decidable B X is undecidable but partially decidable C X is undecidable and... | {
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"lm_q1_score": 0.962673111584966,
"lm_q1q2_score": 0.8182443945985391,
"lm_q2_score": 0.8499711737573762,
"openwebmath_perplexity": 1730.2345813167385,
"openwebmath_score": 0.4198146164417267,
"tag... |
algorithms, complexity-theory, computational-geometry, discrete-mathematics, graphics
Title: What is the relation between Computer Graphics, Discrete Geometry, and Complexity Theory? I am a master computer science student, and I am interested in both geometry and complexity theory.
So I would like to know what is the ... | {
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regular-languages, automata, finite-automata, regular-expressions
I was guessing:
Q1. From where all these facts came. (I know this must have come from general pattern that such DFAs follow, but then I have below doubts)
Q2. Are these points indeed correct?
Q3. If yes (for Q2), then what can be the reason for each poi... | {
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"tags": "regular-languages, automata, finite-automata, regular-expressions",
"url": null
} |
qiskit, chemistry
Title: Can someone explain how Qiskit defines the electronic dipole moments? The Qiskit API defines the electronic dipole moment as
$$
\hat{d} = \sum_{p,q} d_{pq}^x a_p^\dagger a_q ,
$$
where
$d_{pq}^x,d_{pq}^y,$ and $d_{pq}^z$ are the Cartesian components of the vector
$$
\textbf{d}_{pq}
=
\int d\ta... | {
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the parabola is in this form: y = x 2 roots of the parabola opens up the! Exactly the same distance from the focus and the straight line that passes through the turning point is the. Turning points calculator - find functions turning points, look for roots of the turning point is when equation! Points, look for roots o... | {
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"id": null,
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"lm_q1_score": 0.9850429134068499,
"lm_q1q2_score": 0.8271739880763094,
"lm_q2_score": 0.8397339616560072,
"openwebmath_perplexity": 372.93399516802384,
"openwebmath_score": 0.5448158979415894,
"tags... |
# 20% in one year vs 4% per year over 5 years
I am looking for information for some extended family members.
A medical procedure has a 4% chance of stroke per year over 5 years. One family member has said that that is a 20% chance of stroke over all (5*4%). Others argue that it is less because 4% each year is smaller... | {
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"lm_q1_score": 0.9817357243200245,
"lm_q1q2_score": 0.8026420662078039,
"lm_q2_score": 0.817574471748733,
"openwebmath_perplexity": 412.5055516365713,
"openwebmath_score": 0.5006306171417236,
"tags... |
ros, manipulator
Original comments
Comment by gvdhoorn on 2016-10-26:
Not an answer, but the Fanuc R-30iB Mate controller would actually seem to fit your constraints: regular cabinet is 470x402x400mm (WxDxH) max, OpenAir is even smaller: 370x350x356mm (WxDxH) max. They're 40 and 20 Kg respectively. Which controller ha... | {
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"tags": "ros, manipulator",
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c#, beginner, wpf, mvvm, xaml
#endregion
public class RelayCommand : ICommand
{
public RelayCommand(Action<object> execute) : this(execute, null)
{
}
public RelayCommand(Action<object> execute, Predicate<object> canExecute)
{
if (execute == null)
throw new ArgumentNullException(... | {
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"tags": "c#, beginner, wpf, mvvm, xaml",
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genetics, movement
Title: genetic difference subpopulations vs movement rate Someone told me that if a geneticist finds no significant difference between 2 subpopulations that have temporal spatial overlap it might be that they are still almost closed (no connection). Is this right?
Can I deduce anything about the in... | {
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"tags": "genetics, movement",
"url": null
} |
quantum-mechanics, quantum-information, superposition
When the compass needle points north, that is like a qubit being in the state $\lvert 0\rangle$, and when the compass needle points east, that is like a qubit being in the state $\lvert 1\rangle$. But a compass needle can also point northeast. The direction northea... | {
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5. Jan 10, 2016
### ehild
You forgot to multiply C2-C1 by 2.
6. Jan 11, 2016
### Samy_A
(bolding mine)
What I bolded is wrong.
When you solve for $C$ using $y=e^{± √(2Ln|sec(x)|+C)}$, you find $C=4$. That is correct.
When you solve for $C_3$ using $\frac{1} {2}Ln^2 (y)=Ln|sec(x)| + C_3$, you find $C_3=2$. That is ... | {
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"lm_q2_score": 0.8333245891029457,
"openwebmath_perplexity": 1059.4479777754495,
"openwebmath_score": 0.8527643084526062,
"ta... |
black-hole, general-relativity, supermassive-black-hole, event-horizon
Title: Is there a closest free-return trajectory to a black hole? The scenario I am imagining is a test particle falling from infinity with an initial off-center velocity. In Newtonian mechanics the path would be a hyperbola. But I assume that, nea... | {
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The first thing to do is compute the number of distinct solutions to $$S_1 : x_1 + y_1 + z_1 = a_1 : \binom{a_1 + [3-1]}{3-1} = \binom{a_1 + 2}{2}$$ $$S_2 : x_2 + y_2 + z_2 = a_2 : \binom{a_2 + [3-1]}{3-1} = \binom{a_2 + 2}{2}$$ $$~~~\cdots~~~$$ $$S_r : x_r + y_r + z_r = a_r : \binom{a_r + [3-1]}{3-1} = \binom{a_r + 2}... | {
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"id": null,
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"lm_q1_score": 0.9802808718926534,
"lm_q1q2_score": 0.8014526247175453,
"lm_q2_score": 0.8175744806385543,
"openwebmath_perplexity": 206.83051354817093,
"openwebmath_score": 0.9289675354957581,
"ta... |
javascript, node.js, passport, authentication
Title: node.js passport wrapper I have started some experiments with node.js.
Any comment on style (especially the callbacks) and best practice is appreciated:
PassportControl.js
/*
* Export single function that creates the passportControl object
*
* The passport c... | {
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"tags": "javascript, node.js, passport, authentication",
"url": null
} |
reaction-mechanism, kinetics
Title: Relating collision theory to rate of reaction I want to relate the macroscopic advancement of a reaction, the rate of the reaction, with the microscopic collisions of the molecules. This is the type I have developed so far:
$$u = A^2 \times \frac{n_1}{m^2} \times\frac{n_2}{m^2}\time... | {
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"openwebmath_score": null,
"tags": "reaction-mechanism, kinetics",
"url": null
} |
image-processing, object-recognition
Code 39 has no error correction, but even a single misread line won't result in wrong data, because it simply won't produce a valid character. So you either get valid data, or you get nothing.
A major advantage of code 39 is that you don't need barcode software, you can simply use ... | {
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"tags": "image-processing, object-recognition",
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} |
particle-physics, weak-interaction, pions
The answer states that the electromagnetic interaction conserves strangness number and that therefore the above decay is not possible.
is then unsound and abusive: these decays are both weak and EM, and strangeness (along with other, more recondite, approximate rules such as ... | {
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"tags": "particle-physics, weak-interaction, pions",
"url": null
} |
# Can we use symmetry rules in improper integrals?
I wish to evaluate the integral $$I=\int^{\infty}_{-\infty}xe^{-x^2}dx$$
Can I simply note that that $f(x)=xe^{-x^2}$ is an odd function and say $I=0$? The only reason I have doubts is because of assuming the two infinities have the same length. However, when I hear ... | {
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"lm_q2_score": 0.8615382040983516,
"openwebmath_perplexity": 211.70923626866656,
"openwebmath_score": 0.9558184742927551,
"ta... |
electricity, capacitance, resonance
Note that the scaling that I have done to graph A does not change its $Q$ value.
To analyse things further you need to know the resistance of the inductor so that you have a value of the total resistance in the circuit - $R$ in the equation above for $Q$ value.
First impressions a... | {
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"tags": "electricity, capacitance, resonance",
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graphs, neural-networks, randomness, network-topology
Title: Which neural network topology is the most efficient to generate randomly shaped letters? I have created some unique shapes, so-called "letters" for a custom alphabet, all of which can fit into 9x9 pixels. Instead of drawing countless more, I try to combine t... | {
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"tags": "graphs, neural-networks, randomness, network-topology",
"url": null
} |
quantum-mechanics, electromagnetism, quantum-field-theory
I gave a (partial) answer to this in the update of my answer to your previous question so let me copy&paste that answer (with some modifications):
The answer to the first question is no but for a different reason than I stated in the above link and in the text... | {
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c#, linq, sql-server, time-limit-exceeded, finance
return rating;
}
Parallel.For(0, activeSymbolsCount, j =>
{
symbol = symbolTable.AsParallel().ElementAtOrDefault(j).Symbol;
SymbolInfo symbolClass = new SymbolInfo(symbol, mar... | {
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"tags": "c#, linq, sql-server, time-limit-exceeded, finance",
"url": null
} |
quantum-mechanics, hilbert-space, wavefunction, schroedinger-equation, superposition
If we know the initial wavefunction, then we can express this wavefunction in the eigenbasis $$\psi(x,t=0)=\psi_0=\sum \beta_n \psi_n(x)$$
where $$\beta_n=\int \psi_0^*\space \psi_n(x)dx$$ | {
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c++, opengl, pthreads
void Map::render_data()
{
m_pglxdata->cx = glXCreateContext(
m_pglxdata->dpy,
m_pglxdata->vi,
None,
True
);
... | {
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"tags": "c++, opengl, pthreads",
"url": null
} |
ros, python2.7, ros-kinetic
Comment by ravijoshi on 2022-09-02:
The snippet you have posted in the answer above, has incorrect indentation. Furthermore, it is using else without using if. It will not run!
Comment by ravijoshi on 2022-09-02:
Please see the update section under the answer. Moreover, you have changed the... | {
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"url": null
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quantum-mechanics, terminology, quantum-interpretations
Title: Terminology for "measurable" and "hidden" realms in quantum physics Please excuse if some of my terminology is vague, the whole point of this question is to clarify terminology.
In quantum physics, one frequently encounters situations where there are some ... | {
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"tags": "quantum-mechanics, terminology, quantum-interpretations",
"url": null
} |
python, beginner, python-3.x, tic-tac-toe
Title: Basic Python Tic-Tac-Toe Game I have just decided to get into programming as a hobby (and possibly a job in the distant future). After learning the basics of Python, I made Tic-Tac-Toe to apply what I've learned. I would appreciate any and all feedback on my code and ... | {
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"tags": "python, beginner, python-3.x, tic-tac-toe",
"url": null
} |
textbook-and-exercises, bell-basis
\end{align}
Here you can see that $U$ is a unitary matrix. That is, $U\cdot U^*= U^* \cdot U = I$ where $U^*$ is the conjugate transpose of $U$. Since $U$ is unitary, its columns must form an orthonormal basis. These columns are the Bell states. | {
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"tags": "textbook-and-exercises, bell-basis",
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quantum-field-theory, momentum, standard-model, protons, partons
Title: Transverse momentum in the parton model Why is it so important that the partons in the parton model have low transverse momenta? And transverse to what anyway? I mean, basically one looks to justify breaking the hadronic subgraph in hadron-lepton ... | {
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"tags": "quantum-field-theory, momentum, standard-model, protons, partons",
"url": null
} |
newtonian-mechanics, centripetal-force
I see absolutely no reason to think your motion would be like at all like a pendulum, but sure as some parts move one way the other parts can move an opposite way.
Now if there is gravity or other external forces you can move your center. And you can still do it without propella... | {
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"tags": "newtonian-mechanics, centripetal-force",
"url": null
} |
def integrate(f, a, b, n):
h = (b-a)/n
...
A new run results in a new error:
Integral of g equals 9
Traceback (most recent call last):
File "integrate_v1.py", line 23, in <module>
I = integrate(f, 0, pi, n)
NameError: name 'pi' is not defined
Looking carefully at all output, we see that the program managed to cal... | {
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"openwebmath_score": 0.567476212978363,
"tags": null... |
algorithms, algorithm-analysis, correctness-proof
Title: Prove that the following algorithm has STOP property (number of steps is finite) Prove that the following algorithm has STOP property. I am not sure if this term is widely know, so the definition of STOP property that I got during classes looks as follows:
STOP... | {
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"openwebmath_score": null,
"tags": "algorithms, algorithm-analysis, correctness-proof",
"url": null
} |
neural-networks, machine-learning, generative-adversarial-networks, papers, generative-model
If you tried to minimize the joint probabilities, you would be attempting to change something that the networks have no ability to control (the chance of $y$ appearing). | {
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"tags": "neural-networks, machine-learning, generative-adversarial-networks, papers, generative-mo... |
python, beginner, python-2.x
os.system('call pybot -N EdgeSecurityTest ' + Output + ' -r '
'EdgeSecurityReport.html -l EdgeSecurityLog.html -o '
'EdgeSecurityOutput.xml -v Browser:Edge SecurityTests.robot')
print "\n"
###
def SandBoxSuite():
print "Running SandBox Suite . . .\n"
... | {
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"openwebmath_score": null,
"tags": "python, beginner, python-2.x",
"url": null
} |
ros, object-recognition
Originally posted by Jbot on ROS Answers with karma: 429 on 2013-09-10
Post score: 5
Original comments
Comment by keavenM on 2013-09-19:
Same problem here. (Ubuntu 13.04 ROS Hydro)
Comment by averybigant on 2013-09-19:
Same problem （Ubuntu12.04 ROS groovy）
Comment by averybigant on 2013-09-24:... | {
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"openwebmath_score": null,
"tags": "ros, object-recognition",
"url": null
} |
javascript, random, ecmascript-6, dom
How can I improve the efficiency or functionality of the JavaScript?
Edit: I'd also like to know if this is a fair generator, or if it's more likely to get one shade than another. I don't see why it would, but you never know. Looks very good. And, as far as I know, your colour ... | {
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"tags": "javascript, random, ecmascript-6, dom",
"url": null
} |
c#, design-patterns
public void DoSomeAction()
{
someService.DoSomething("Flying in the sky");
}
public void DoSomeGroupAction()
{
using (new ActionIdContext())
{
someService.DoSomething("Driving in the corner");
someService.DoSomething("Reading Hulk!");... | {
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"openwebmath_score": null,
"tags": "c#, design-patterns",
"url": null
} |
special-relativity, time-dilation
Addressing GumbyTheGreen personally:
If you disagree with the above then I propose that you submit that disagreement to the stackexchange *community*. That is: submit it as a *new question*.
For instance, you could phrase it as follows:
"In a recent answer a stackexchange contributo... | {
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c++, strings, c++11
bool operator == (const string& lhs, string&& rhs) noexcept {
return (lhs.sz_ == rhs.sz_) &&
((lhs.sz_ == 0) ? true : (std::strncmp(lhs.ptr_.get(), rhs.ptr_.get(), lhs.sz_) == 0));
}
bool operator == (string&& lhs, const string& rhs) noexcept {
return (lhs.sz_ == rhs.sz_) &&... | {
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homework-and-exercises, special-relativity, inertial-frames, lorentz-symmetry
Now for the Lorentz transformations: calling the painting events A and B, with $x_A = 0$, $t_A = 0$, $x_B = 10$ ft, and $t_B = 0$, I find $x'_A = 11.5$ ft, $x'_B = 0$, $t'_A = -5.85$ ns, and $t'_B = 0$. That looks good. $L_0 = x'_A-x'_B = 11... | {
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"tags": "homework-and-exercises, special-relativity, inertial-frames, lorentz-symmetry",
... |
gaussian, math, stochastic
Google ( Lorenz Equation Matlab ) for code examples. You have a Noisy Lorenz system.
$$ \left| \begin{array}{c} x[k+1] \\
y[k+1] \\ z[k +1] \end{array} \right|= \text{ODE STEP} \left(\left| \begin{array}{c} x[k] + \text{noise}_x \\
y[k] + \text{noise}_y \\ z[k]+ \text{noise}_z \end{arra... | {
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"tags": "gaussian, math, stochastic",
"url": null
} |
terminology
Title: Difference between pipette and pipettor I've been translating a text listing some analytical laboratory equipment, and found that some fellow translators translate the Russian word "автоматическая пипетка" (avtomaticheskaya pipetka, which literally means "automatic pipette") as "pipettor".
I consul... | {
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$$\mathbb{P}(\max \{ X_1,...,X_r \} = X_r) = \frac{1}{r}.$$
You can compute this the long way using the permutation argument you are describing if you want to, but your combinatorial algebra for this is wrong. (For starters you need to choose a different variable to describe the value of the $$r$$th number, so as not ... | {
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"openwebmath_score": 0.995349645614624,
"tag... |
# Calculate the 2D Fourier transform of an Image
I am new to Mathematica, and using version 8.0.
I would like to calculate the 2D Fourier Transform of an Image with Mathematica and plot the magnitude and phase spectrum, as well as reconstruct the image with the inverse transform.
• Hello. You do not have to sign in ... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9372107966642554,
"lm_q1q2_score": 0.8142738287549982,
"lm_q2_score": 0.868826769445233,
"openwebmath_perplexity": 1500.894495538341,
"openwebmath_score": 0.41496872901916504,
"tag... |
neural-network
Title: Why is eulers number used as a constant in sigmoid I was asking myself why eulers number was used in the sigmoid function 1/(1+e^-x) instead of any other constant like for example 2 or 3?
I am pretty new to data science stuff, but I read somerwhere that eulers number is the natural growth of a cu... | {
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php
if ($mysqli) an error handler should handle this
isset($_POST) it makes no sense to test if a variable is set if it was defined two lines above
!empty($_POST) same
$consult->next_result() makes no sense. there is no extra resultset
$consult->free_result() useless
... etc.
such a prolific commenting is also consid... | {
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"tags": "php",
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the-sun, earth, obliquity, time
Stellarium images around the March equinox and the June solstice,
showing 30 degrees of ecliptic longitude and 2 hours of right ascension for comparison.
Equatorial grid is blue, ecliptic grid is orange, ecliptic is yellow.
The equation of time is the cumulative sum of differences betwe... | {
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"tags": "the-sun, earth, obliquity, time",
"url": null
} |
turing-machines, reductions, undecidability, halting-problem
Title: How to prove the language of Turing machines that run at most $4|x|^2$ steps is not recursive? I am trying to prove that the language
$$ L=\{M\mid M\text{ is a TM and for all }x\in \Sigma^*\text{ with }|x|>2, M\text{ on }x\text{ runs at most }4|x|^2\t... | {
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"tags": "turing-machines, reductions, undecidability, halting-problem",
"url": null
} |
Related Rate Prob - Ships sailing in different directions
• November 5th 2010, 09:15 PM
dbakeg00
Related Rate Prob - Ships sailing in different directions
Ship A is 15 miles east of point O and moving west at 20mi/h. Ship B is 60 miles south of O and moving north at 15mi/h. a)Are they approaching or seperating after 1... | {
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"lm_q2_score": 0.8244619306896956,
"openwebmath_perplexity": 545.3237558637917,
"openwebmath_score": 0.6065874695777893,
"tags... |
# Repetition code and binary symmetric channel, where error is near 1/2
I want to send one bit $x$ over a noisy channel, specifically, a binary symmetric channel with error probability $p$, where $p=(1-\epsilon)/2$ and $\epsilon$ is small. In other words, the error probability is close to 1/2, so the capacity of the c... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.980280869588304,
"lm_q1q2_score": 0.8168921569129117,
"lm_q2_score": 0.8333245932423308,
"openwebmath_perplexity": 179.63111435190808,
"openwebmath_score": 0.9830245971679688,
"tag... |
python, html, classes, rss, blog
self.src_root_dir = "src/"
self.src_posts_dir = f"{self.src_root_dir}posts/"
self.src_css_dir = f"{self.src_root_dir}css/"
self.src_assets_dir = f"{self.src_root_dir}assets/"
self.src_templates_dir = f"{self.src_root_dir}templates/"
self.blog_ur... | {
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"openwebmath_score": null,
"tags": "python, html, classes, rss, blog",
"url": null
} |
Note that if we wish to express these conditions in vector form---perhaps we want to use a standard linear solver---then we're back to Kronecker products: $$\begin{bmatrix} 2BB^T\otimes I & - v\otimes I \\ - v^T\otimes I & 0 \end{bmatrix} \begin{bmatrix} \mathop{\textrm{vec}}(X) \\ \lambda \end{bmatrix} = \begin{bmatri... | {
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"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9715639686018701,
"lm_q1q2_score": 0.8053670721821922,
"lm_q2_score": 0.8289388019824946,
"openwebmath_perplexity": 392.20352958515963,
"openwebmath_score": 0.9954453110694885,
"ta... |
python, tkinter, gui, user-interface
master.combo = Combobox(root)
Using self. prefix allows you to access the objects, widgets and any other data in other functions.
apple
orange
banana
grape
grapefruit
tangerine
combo_stuff.txt
So I'm guessing that you want to add whatever is typed into the entry widget to your te... | {
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"tags": "python, tkinter, gui, user-interface",
"url": null
} |
genetics, molecular-biology, dna, cloning
Title: ddT-tailed TA cloning, and the fate of a double nicked plasmid in E. coli In an undergraduate lab class on TA cloning, it was explained that ddNTPs are used as the substrate for terminal transferase when making the T overhangs of the vector. I was told this was to ensur... | {
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"openwebmath_score": null,
"tags": "genetics, molecular-biology, dna, cloning",
"url": null
} |
condensed-matter, semiconductor-physics, light-emitting-diodes
Title: Why does total internal reflection (TIR) drastically reduces the efficiency of LED? Total internal reflection (TIR) is the primary reason of efficiency loss in LED bulbs. LED chips are made of GaN, which has a much higher refractive index than surro... | {
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"openwebmath_score": null,
"tags": "condensed-matter, semiconductor-physics, light-emitting-diodes",
"url": null
} |
c, queue, circular-list, embedded
q == NULL
buf == NULL
bufSize == 0
Instead of:
#if !defined bool
typedef unsigned char bool;
#endif
just do
#include <stdbool.h>
You should also use false and true instead of 0 and 1, for the functions that return bool. | {
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"tags": "c, queue, circular-list, embedded",
"url": null
} |
terminology, automata
Title: Why are states called locations in Timed Automata? I started reading about timed automata lately. In the definition, they have locations instead of states as in automata theory. Can anyone explain why is this? It is mainly a matter of avoiding ambiguity.
At any moment in a Timed Automaton ... | {
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"tags": "terminology, automata",
"url": null
} |
javascript, jquery, datetime, form, plugin
// Empty and Populate the Month field.
$monthElement.empty();
for (i = startMonth; i <= endMonth; i++) {
$option = $('<option>').val(i).text(MONTHS[i].name);
$monthElement.append($option);
... | {
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"tags": "javascript, jquery, datetime, form, plugin",
"url": null
} |
homework-and-exercises, statics
16" - 334 lb
18" - 364 lb
20" - 501 lb
22" - 612 lb
Also consider the sideways push to tip over a top heavy table with a tall narrow base can be small. If h is the height of the table,
$$\tau_S > \tau_T$$
$$Fh > (F_T + F_L)\frac{L_L}{2}$$
$$F > (F_T + F_L)\frac{L_L}{2h}$$
$$= (281 lb +... | {
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"openwebmath_score": null,
"tags": "homework-and-exercises, statics",
"url": null
} |
python, beginner, strings
Title: Encode text to Baudot (teletype) code After watching Computerphile videos on WW2 cryptography and radioteletype I decided to code a translator to Baudot code. I wonder if it can be somehow improved?
def translate_to_baudot(untranslatedtext):
from textwrap import wrap
def getdic... | {
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"tags": "python, beginner, strings",
"url": null
} |
machine-learning
Title: What are some easy to learn machine-learning applications? Being new to machine-learning in general, I'd like to start playing around and see what the possibilities are.
I'm curious as to what applications you might recommend that would offer the fastest time from installation to producing a me... | {
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"url": null
} |
Ex. 1.1 | Q 4.5 | Page 14
Find the multiplicative inverse of -1 xx (-2)/5
Ex. 1.1 | Q 4.6 | Page 14
Find the multiplicative inverse -1
Ex. 1.1 | Q 5.1 | Page 14
Name the property under multiplication used in given
(-4)/5 xx 1 = 1 xx (-4)/5 = -4/5
Ex. 1.1 | Q 5.2 | Page 14
Name the property under multiplication ... | {
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"openwebmath_score": 0.3934588134288788,
"tags": nul... |
filters, finite-impulse-response, digital-filters, impulse-response, acoustics
Title: Modeling an Acoustic Reflection from a Wall - a Paradox? I am trying to simulate the reflection of a sound ray, that goes from a sound source, bounces off a wall, and is received by a microphone.
The wall has a an absorption coeffic... | {
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"ur... |
programming-challenge, rust
return horizontal * depth;
}
fn main() {
let inputs = read_inputs().expect("Input read correctly");
let answer = part1(&inputs);
println!("Answer: {}", answer)
}
Conclusion
Idiomatic, terse and fast Rust is often functional. Get to know functional style.
know your crates | {
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c#, beginner, wpf, mvvm, xaml
One could argue that you need a model class for the collection of Students, but thats for you to deside.
Make your ViewModelBase abstract and subclass all your view models from that.
Because you have input for the Student class, I would create a ViewModel for that class too (StudentVM).
Y... | {
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} |
javascript, beginner, jquery, datetime, jquery-ui
$(function() {
init();
});
})( jQuery );
Hope you find this helpful. Let me know if you have any questions. | {
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c#, thread-safety, locking, generics, extension-methods
or, put simply we just don't need this method at all.
In case of wait == false we get the following code:
public static bool TryDoLocked<T>(this T subject, object syncObj, Action<T> action)
{
bool lockWasTaken = false;
try
{
Monitor.TryEnter(s... | {
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"url": null
} |
ros, python, script, deb
ubuntu: ros-kinetic-roboteq-msgs
Now run bloom-generate:
bloom-generate rosdebian --os-name ubuntu --ros-distro kinetic
If it still want to use rosdep to find the key, you need to run rosdep update. Then try to run rosdep resolve roboteq-msgs, if it successfully resolve the key. Next run the f... | {
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"tags": "ros, python, script, deb",
"url": null
} |
general-relativity, spacetime, gravitational-waves, vortex
It starts with this: "Einstein was right again. There is a space-time vortex around Earth, and its shape precisely matches the predictions of Einstein's theory of gravity.
"
Has anyone investigated if 3-dimensional space would support space-time vortices
Yes, ... | {
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"tags": "general-relativity, spacetime, gravitational-waves, vortex",
"url": null
} |
immunology, virus, vaccination, immune-system, influenza
This is really where your adaptive immune system comes in, T/B cell, antibodies, etc. A wild type influenza virus stimulates the same adaptive response as the strains in a flu vaccine: Proteins such as the neuraminidase are picked up by macrophages or dendritic ... | {
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"url": null
} |
Here is my attempt: \begin{align} \int_0^\infty\frac{\sin^2x}{x^2(1+x^2)}dx&=\int_0^\infty\left[\frac{\sin^2x}{x^2}-\frac{\sin^2x}{1+x^2}\right]dx\\ &=\int_0^\infty\frac{\sin^2x}{x^2}dx-\frac{1}{2}\int_0^\infty\frac{1-\cos2x}{1+x^2}dx\\ &=\frac{\pi}{2}-\frac{1}{2}\int_0^\infty\frac{1}{1+x^2}dx+\frac{1}{2}\int_0^\infty\... | {
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"openwebmath_score": 0.9616157412528992,
"ta... |
Also, the term "exclusion" is synonymous with set difference: $$X-Y:= X\cap Y^c,$$ whereas "inclusion" usually refers to an injective map: $$\iota: S\hookrightarrow X$$ which can be used as an identifier of a subset. I wouldn't say the two notions are synonymous.
• I'm a beginner in set theory, would you mind clarifyi... | {
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"openwebmath_score": 0.7210046648979187,
"tags... |
• A previous editor switched the sequences to display style (centered on a separate line). I felt that the entries of the sequences were then too close to each other. So I added a bit of space by inserting \ and switched to using comma as a separator. I, too, would use a semicolon as a separator when the sequences wer... | {
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"lm_q1_score": 0.9763105335255604,
"lm_q1q2_score": 0.827879860220907,
"lm_q2_score": 0.847967764140929,
"openwebmath_perplexity": 451.538807380264,
"openwebmath_score": 0.9553712010383606,
"tags":... |
# Minimize and maximize the function $g(a,b) = a + b$ given the constraint $h(a,b) = \frac{1}{a} + \frac{1}{b} = 1$.
I want to minimize and maximize the function $g(a,b) = a + b$ given the constraint $h(a,b) = \frac{1}{a} + \frac{1}{b} = 1$, and I want to find the values of $a, b,$ and $\lambda$.
This is what I've do... | {
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"lm_q1q2_score": 0.8052580714357604,
"lm_q2_score": 0.8311430520409023,
"openwebmath_perplexity": 209.56420323753073,
"openwebmath_score": 0.958839476108551,
"tag... |
human-biology, physiology, proteins, amino-acids, diet
Title: Amino Acid requirement + intake in relation to diet + meat type I was arguing with a friend:
I said: The Yulin festivals cannot be condemned by western culture, as we also kill animals in equally cruel ways.
She said: It isn't just that the killing is crue... | {
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"tags": "human-biology, physiology, proteins, amino-acids, diet",
"url": null
} |
quantum-mechanics, harmonic-oscillator, spectroscopy
for every $n\neq m$ even if both are even.
Now, the important part of harmonic wavefunctions is Hermite polynomials. They have a particular recursive property that $$ xHe_n(x)=He_{n+1}(x)+nHe_{n-1}(x) $$
As you said, the dipole moment operator behaves as $x$ and, si... | {
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"tags": "quantum-mechanics, harmonic-oscillator, spectroscopy",
"url": null
} |
matlab, python, scipy, control-systems
sys = ct.tf([3.553e-15, -.1642, -.1243, -.00161, 9.121e-17],
[1, 1.825, 2.941, .03508, .01522, -1.245e-15])
0
ct.nyquist(sys, indent_radius=1e-16, omega=np.arange(0,100,0.0001))
Note I've also included a finer resolution of the frequencies used to make the plot look ... | {
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"openwebmath_score": null,
"tags": "matlab, python, scipy, control-systems",
"url": null
} |
research-level, specific-reference, quantum-information, bells-inequality
Title: States diagonal in the tensor product of Bell states. Bell-diagonal states are 2-qubit states that are diagonal in the Bell basis. Since those states lie in $\mathbb{C}^{2} \otimes \mathbb{C}^{2}$, the Peres-Horodecki criterion is a suff... | {
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"openwebmath_score": null,
"tags": "research-level, specific-reference, quantum-information, bells-inequality",
"url"... |
newtonian-mechanics, forces, classical-mechanics, acceleration, soft-question
Title: System vs individual objects in the system when calculating forces? I don't understand the calculation of forces acting on a system vs the forces acting on an individual object in that system.
For example, here are two trolleys (1 and... | {
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"id": 70789,
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"tags": "newtonian-mechanics, forces, classical-mechanics, acceleration, soft-question",
... |
perl, ssh
Title: Becoming a Perl bandit I've posted a few questions about natas a wargame. But I'm stuck at natas29 it has to do with Perl. I've never coded in Perl before.
Thus to help me beat the last few levels, I decided it is time to learn Perl. And what better way to learn it, then with wargames from overthewire... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "perl, ssh",
"url": null
} |
zoology, entomology
Title: Help identifying an insect I live in Milan, Italy in the city center. I live in this house since 5 years and I keep finding the insect pictured below.
I see it throughout the seasons (temperatures here range from -1°C to +35°C in average).
I find it mostly in my bathroom which is not well ve... | {
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"openwebmath_score": null,
"tags": "zoology, entomology",
"url": null
} |
c++, reinventing-the-wheel, template-meta-programming, c++17, c++20
template <class T, std::size_t N>
class span {
public:
// constants and types
using element_type = T;
using value_type = std::remove_cv_t<T>;
using index_type = std::size_t;
using difference_type = std::ptrdiff_t;
usi... | {
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"tags": "c++, reinventing-the-wheel, template-meta-programming, c++17, c++20",
"url": ... |
ros, ros2, base-odometry
<odometry_frame>odom_demo</odometry_frame>
<robot_base_frame>chassis</robot_base_frame>
</plugin>
</gazebo>
The result: https://youtu.be/Wf3rhqRSTKw
Originally posted by Vini71 with karma: 266 on 2023-04-03
This answer was ACCEPTED on the original site
Post score: 2 | {
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The last case, $r=-1$, is more subtle. For $g \ne 0$, this terms of this series alternate between positive and negative g, making the partial sums of the series add to either g or 0, depending on whether you have summed an even or an odd number of terms. Since the partial sums alternate, the overall sum is divergent.... | {
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"openwebmath_score": 0.803494930267334,
"tags": n... |
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