text stringlengths 1 1.11k | source dict |
|---|---|
• ... for the purposes of rigorous argument rather than heuristics, it turns out that the Jensen formula argument sketched in my previous comment is more robust (basically because $\log |z|$ diverges at zero far more slowly than $\frac{1}{z}$) and is easier to make fully rigorous, as is done in the paper linked to in m... | {
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python, logistic-regression
Title: Why is logistic regression not sigmoidal? The blue dots are the raw data and the line is my logistic regression. The line is quite straight and not sigmoidal as I would have expected. I suspect there is something wrong in my gradient descent equation but I don't understand the maths ... | {
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kinect, openni, depth-image, image, package
Originally posted by bassim on ROS Answers with karma: 1 on 2011-10-25
Post score: 0
posting the question twice will not get you a faster answer, please follow the guidelines at http://www.ros.org/wiki/Support
Originally posted by mmwise with karma: 8372 on 2011-10-25
This... | {
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} |
The value of $x$ now is $6.6$.
So the distance from point B to P is $\color{green}{x = 6.6 \space kilometers}$.
I would like to verify that my answers in a.) and b.) are correct. Are my answers wrong?
I really have doubts about the answer in b.) because the distance between B and F is 2 kilometers but the distance b... | {
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"ta... |
… Set A has 3 elements and set B has 4 elements. So, total numbers of onto functions from X to Y are 6 (F3 to F8). Any ideas on how it came? So, that leaves 30. Why does a tightly closed metal lid of a glass bottle can be opened more easily if it is put in hot water for some time? Therefore, each element of X has ‘n’ e... | {
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"tags": null... |
java, strings
inside the loop.
Even better, use the range-based/foreach style:
for (char character : string.toCharArray()) {
Now you don't have to worry about i or charAt at all.
If you're using Java 8, you may want to look into the streaming API. E.g. combining this post and this post.
return string... | {
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-
You have several errors. If you want to find the sum for even $n$, then substitute $n=2k$ and then calculate more accurately. – njguliyev Oct 26 '13 at 19:04
You are making a mistake in the 'combining the above results' part. Your sum of $\frac{n}{2}$ terms is equal to $\frac{1}{2} (S - \frac{n}{2})$, and this is no... | {
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electric-circuits, electrical-resistance, singularities, inductance, laplace-transform
The switch is opened and that current of $3$ A cannot change instantaneously through the top resistor and inductor combination and the current in the bottom resistor and inductor combination cannot change from zero instantaneously. ... | {
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#### Country Boy
##### Well-known member
MHB Math Helper
Ah ok! Great!!
What about the second question to show that the union of a countable number of countable sets is a countable set?
Do we have to show first that it holds for two sets and then we show the desired by induction?
NO! "Induction" would show only that ... | {
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... |
filter-design, finite-impulse-response, infinite-impulse-response, digital-filters
In sum, there are FIR as well as IIR lowpass filters, and none of them equal the ideal (non-causal and unstable) lowpass filter. Which of the two is better completely depends on the application and on the platform. Everything we said ab... | {
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... |
Here they are the same provided $$L = n\lambda + 1/2\lambda$$
Which is different than yours, but that's because I chose waves of a different form
• Just to clarify, from what I understood- any two waves with same A,w,k will produce standing waves provided they are traveling in the opposite direction. So, the equation... | {
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"lm_q2_score": 0.8499711718571774,
"openwebmath_perplexity": 328.99649939763265,
"openwebmath_score": 0.8380858898162842,
"ta... |
mechanical-engineering
Title: How does this obviously fake but convincing perpetual machine work? Apparently, during a world fair (presumably Paris in 1889[Don't trust that fact]), an engineer showed a perpetual machine that could not be stopped. For months, he challenged visitors to stop it, but that machine always r... | {
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"tags": "mechanical-engineering",
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} |
quantum-mechanics, wavefunction, schroedinger-equation
Title: Continuity behaviour of a wavefunction when the potential exhibits a discontinuity If a potential $V(x,t)$ exhibits a finite discontinuity in space, the wavefunction $\phi(x,t)$ and its spatial derivative will be continuous.
If a potential exhibits a finit... | {
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"tags": "quantum-mechanics, wavefunction, schroedinger-equation",
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algorithms, matrices
I think the complexity is $\Theta(n\cdot m)$.
Thanks. In general, if you have an $n\times m$ matrix $A=(a_{i,j})$ with $1\le i\le n$ and $1\le j\le m$ then there will be $nm$ entries in the array. To multiply $A$ by a scalar $c$ you multiply each element by c, which (assuming multiplication can be... | {
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tectonics, continental-rifting
It's a little unclear, but I think von Frese is making the connection here that a crater of that size could have potentially created weak planes in the crust near the impact site, which would have directed extensional stress relief to a localized region, thus centralizing a rift locally.... | {
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genetics, botany
That last part seems what I'm interested in, but the cite is a dead link.
Later in the article:
The primary function of pigments in plants is photosynthesis, which uses the green pigment chlorophyll along with several red and yellow pigments including porphyrins, carotenoids, anthocyanins and betalai... | {
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$(a+b)\bmod c=n$ if and only if $(a+b)-n$ is divisible by $c$, and $0\le n<c$: $n$ is the smallest non-negative integer that has the same remainder as $a+b$ on division by $c$. Similarly $a\bmod c=a'$ if and only if $a-a'$ is divisible by $c$, and $0\le a'<c$, and $b\bmod c=b'$ if and only if $b-b'$ is divisible by $c$... | {
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I don’t know how I missed that one, indeed:
http://en.wikipedia.org/wiki/Sum_of_normally_distributed_random_variables
Thanks Kaestur Hakarl!
I posted the following in response to a question that got closed as a duplicate of this one:
It looks from your comment as if the meaning of your question is different from what... | {
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"openwebmath_score": 0.9974585175514221,
"tags": ... |
special-relativity, numerical-method
The desired accuracy.
Up to a point, higher order techniques tend to offer much greater accuracy. Most techniques have a problem as order increases. Increasing the order results in ever more and ever larger terms with oscillating signs. For example, using 16th order Gauss-Jackson w... | {
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#### Patrick Thomas (Jul 24 2020 at 22:39):
I think I get it.
Thank you.
#### Adam Topaz (Jul 24 2020 at 22:42):
I think it's a good exercise to write this definition. And here are some components which you'll need:
1. fin.succ is the successor function fin n \to fin (n+1).
2. You can just write 0 for the first el... | {
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"openwebmath_score": 0.3846169710159302,
"tags": ... |
graph-theory, graph-algorithms, np-hardness
Title: Is there a problem that is easy for cubic graphs but hard for graphs with maximum degree 3? Cubic graphs are graphs where every vertex has degree 3. They have been extensively studied and I'm aware that several NP-hard problems remain NP-hard even restricted to subcla... | {
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ros, rate, topic
Originally posted by Luis Ruiz on ROS Answers with karma: 114 on 2016-03-17
Post score: 0
Original comments
Comment by al-dev on 2016-03-18:
The publishing rate given by rostopic hz is an average, you can adjust the size of the window with the -w option, e.g rostopic hz -w 5 /pose to average over 5... | {
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inorganic-chemistry
Please consider the above MO scheme only as a sketch, it is not to scale and contributions were estimated only be a quick browse of the output file. I also did not compensate the calculation for the negative charge, so even the bonding orbitals are antibonding with respect to fragmentation. But it ... | {
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ruby, ruby-on-rails
Title: Managing course enrollment I have written some code to suspend someone's enrollment to a course. A course may have multiple presentations.
module Enrolments
class Suspend
attr_reader :enrolment, :responses, :comment, :user_id
attr_writer :event_service, :suspend_enrolment_presentat... | {
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java, random, combinatorics, simulation
public static double averageCounts(int coupons, int sets, int iterations) {
long sum = 0;
for (int i = 0; i < iterations; i++) {
sum += countRequired(coupons, sets);
}
return sum / (double)iterations;
}
public static void main... | {
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quantum-field-theory, gauge-theory, brst
1: See e.g. the last page on Timo Weigand's notes, or some remarks in the Scholarpedia article Becchi-Rouet-Stora-Tyutin symmetry (ctrl+f "gupta"). Condition (1) is not equivalent to condition (2) in the sense that the former would reduce to the latter by any algebraic manipula... | {
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"tags": "quantum-field-theory, gauge-theory, brst",
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evolution
--A Middle Palaeolithic human hyoid bone
The Dikika australopithecine hyoid body proportions are chimpanzeelike. ... The Kebara hyoid dimensions (body alone, and articulated body and greater horns) are almost all within the observed range for human hyoids. Discriminant functions clearly distinguish human f... | {
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$$f'(x) = \lim_{h \to 0} \frac{-x - h + x}{h} = \lim_{h \to 0} \frac{-h}{h} = -1 ~ ~ ~ \text{for} ~ ~ x < 0$$
A similar reasoning for $x > 0$ leads to:
$$f'(x) = +1 ~ ~ ~ \text{for} ~ ~ x > 0$$
So we have:
$$f'(x) = \begin{cases} +1 ~ ~ &\text{for} ~ ~ x > 0 \\ -1 ~ ~ &\text{for} ~ ~ x < 0 \end{cases}$$
What now? ... | {
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"openwebmath_perplexity": 249.94956744422095,
"openwebmath_score": 0.9249218106269836,
... |
probability, half-life
Title: Probability and lifetime What is the relation between the lifetime of a particle and the probability of decaying that particle?
Here it says that the probability of survival is exponential if the decay process is a Poisson process:
$P(t) = e^{-\frac{t}{\tau}}$
However, this function is no... | {
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"tags": "probability, half-life",
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rosbridge
Title: image transport using rosbridge
Hello!
What is the best way to transport an image (e.g. .png or .jpg) via rosbridge? Is it possible? What I don't want is, to use an url for a stream, because I need to transport several different images stored on a harddisk.
Thanks for your answers in advance!
Origin... | {
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javascript
out[input_ptr++] == "e" &
out[input_ptr++] == "n") &&
++stack[stack_ptr]) ?
chicken(c)
:
// otherwise, error
["Error on line " + c + ": expected 'chicken'", stack_ptr = c++ -c... | {
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scala
for (loopCount <- 1 to 5) {
val start = System.currentTimeMillis()
val zero: Long = testObject.nextWait()
zero should be (0l)
testObject.execute()
for (count <- 1 to 4) {
val next = testObject.nextWait()
next should be >= 15l
println("[RateLimiterTest.burstC... | {
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c#, tree, sharepoint
Get list of users from SharePoint
Build a TreeNode containing Managed Metadata, with 'Job Title' as the top-level node
Remove any nodes which do not contain an amployee
SharePoint
A simple class - we only need 1 method here and that is to retrieve the list of employees.
static class SharePoint
{... | {
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newtonian-mechanics, rotational-dynamics
Here the yellow line represents the displacement from the straight line path the object WANTS to go in, to the circular path WE want to go in. due to the force, it pulls it back onto the circular path.
The magnitude of the force is chosen such that thus pull, makes it go on a c... | {
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"tags": "newtonian-mechanics, rotational-dynamics",
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} |
text-mining, social-network-analysis, feature-engineering
Title: How can i add weights in a bag of words model in text analysis? I have a twitter sentiment analysis using bag of word approach from the training set. Now i want to add weights to certain words so that they are considered more important than others. One ... | {
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"tags": "text-mining, social-network-analysis, feature-engineering",
"url": null
} |
c#, meta-programming, rubberduck
if (statement == null) { return false; }
return statement.children.Count(i => i is VBAParser.VariableSubStmtContext) > 1;
}
private string GetFieldDefinition()
{
if (_targetDeclaration == null) { return null; }
return "Private " + _targetDeclarati... | {
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"url": null
} |
slam, navigation, ros-melodic, rtabmap
Originally posted by Delb with karma: 3907 on 2019-03-26
This answer was ACCEPTED on the original site
Post score: 0
Original comments
Comment by EdwardNur on 2019-03-26:
Thanks for the answer, but how then I worked before? I did not set that on my host pc and sometimes I did ma... | {
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alloy
$$
Binary Mixtures
A binary mixture is represented by amounts of two substances:
$$
\text{composition}_\text{binary mixture} \equiv n_1, n_2
$$
Ternary Mixtures
A ternary mixture is represented by amounts of three substances:
$$
\text{composition}_\text{ternary mixture} \equiv n_1, n_2, n_3
$$
and so on...
Examp... | {
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quantum-mechanics, general-relativity, photons, double-slit-experiment
Could someone explain why this wouldn't work? Photons have no identity. They are called identical or indistinguishable particles. So the phrase "disrupt itself" does not really have that much meaning. When determining photon properties, we have to ... | {
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ros, gps-umd, gps-common
Original comments
Comment by Pino on 2013-08-29:
This worked, thanks! Where is this information specified? Or is this a standard procedure?
Comment by Boris on 2013-08-29:
Usually, there is a clear distinction between dry (rosbuild) and wet (catkin) packages and stacks. Former has manifest.xml... | {
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common method to generate a polynomial equation from a given data set is the least squares method. by one number, which stays closest to all measurement values. The Chebyshev derivative matrix at the quadrature points , , is given by, , for , and for , and , where for and. Basic properties of rational function are desc... | {
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... |
• Oh wait! I think I see what you're misunderstanding...the number of coordinates used to write down a vector isn't the same thing as the dimension of a subspace. I'll edit my post to try to help clear this up. – Bill Cook Jun 22 '14 at 4:39
• Yes, that's exactly it! Thank you. – Zol Tun Kul Jun 22 '14 at 4:40 | {
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Any help would be appreciated!
• Use triangle inequality. – Youem Apr 13 '18 at 3:57
So $|(1-t)x_{1}+tx_{2}|\leq(1-t)|x_{1}|+t|x_{2}|\leq(1-t)+t=1$ and $|(1-t)y_{1}+ty_{2}|\leq(1-t)|y_{1}|+t|y_{2}|\leq(1-t)+t=1$ because $|x_{1}|,|x_{2},|y_{1}|,|y_{2}|\leq 1$, this shows that $(1-t)\overline{x}+t\overline{y}\in C$.
$|... | {
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"openwebmath_score": 0.9992247819900513,
"ta... |
beginner, c, multithreading, time-limit-exceeded, mathematics
There's a great saying in carpentry: measure twice, cut once. It concerns cutting wood or other material, where you have to throw away your resources if you accidentally cut at the wrong place.
A similar saying is there for software engineers: you can't opt... | {
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javascript, performance, functional-programming, json, ecmascript-6
However, I'm not sure it's very performant
If performance is a concern, then consider a regular for...in loop instead of the functional approach with Object.keys().reduce(), though it may be difficult to keep the inline syntax.
Functionality
This cod... | {
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"url": ... |
along with an expression for y′(x). This chapter on convergence will introduce our first analysis tool in numerical methods for th e solution of ODEs. Numerical methods vary in their behavior, and the many different types of differ-ential equation problems affect the performanceof numerical methods in a variety of ways.... | {
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"openwebmath_score": 0.36779871582984924,
"tags": n... |
statistical-mechanics
Title: Deriving Boltzmann statistics from the maximum entropy principle In some lecture notes I have, the author derives the expectation value of the occupation numbers for a discrete system of fermions as follows:
Consider all states that have a certain energy $\varepsilon_s$. There shall be $a_... | {
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Firstly, on the practice exam, we pretty much only had maximum 2-2.5 minutes to prove this, and this took me some trial and error figuring out which double angle formula to use for cos(2x).
This probably took me 5 minutes just experimenting, and on the final exam there is no way I can spend that long.
What is the bet... | {
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13. KingGeorge
After that, it's a counting argument.
14. Crixpack
This is really rough but you can think of it like this: the i,jth entry of C is 1 only if i and j are connected. Now if we multiply C by itself, to get the i,kth entry (of C^2), we would be multiply the ith row of C by the kth column of C now the ith ... | {
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"openwebmath_score": 0.9854557514190674,
"tags":... |
This happens simply because by induction and definition of $k\cdot 1_D$, one may prove $(n\cdot 1_D)\times (m\cdot 1_D) = nm\cdot 1_D$.
The proof by induction on, say, $m$ is easy : $(n\cdot 1_D)((m+1)\cdot 1_D) = (n\cdot 1_D)(m\cdot 1_D + 1_D) =...$
As @Bernard pointed out in the comment above, for any commutative rin... | {
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"openwebmath_score": 1.0000072717666626,
"ta... |
astrophysics, atmospheric-science, plasma-physics, solar-system, supernova
$r_{source}$ for $N_{2} \sim 4.906 \times 10^{15} \ m$ or $\sim 33,000 \ AU$ or $\sim 0.16 \ parsecs$
$r_{source}$ for $O_{2} \sim 1.307 \times 10^{16} \ m$ or $\sim 87,000 \ AU$ or $\sim 0.42 \ parsecs$
$r_{source}$ for $C O_{2} \sim 2.515 \ti... | {
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"tags": "astrophysics, atmospheric-science, plasma-physics, solar-system, supernova",
"ur... |
filters, filter-design, biquad, bilinear-transform
some people might want the cut to exactly undo the boost given all other parameters being the same. so in the cookbook (and in some other papers), a redefinition of $Q$ is made. this redefinition is the substitution:
$$ Q \ \leftarrow \ A \cdot Q $$
so that makes t... | {
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kinematics, coordinate-systems, projectile, geometry, software
photo and in three dimensions. According to my measurements, the
frames of the first and the second photo are the same: identical rectangles with horizontal
width $= 7.1$ cm and vertical height $= 14.3$ cm. This also allows
me to assume that the photos hav... | {
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angle is often replaced. When converted into cylindrical coordinates, the new values will be depicted as (r, θ, z). Heat Equation Derivation: Cylindrical Coordinates. The initial part talks about the relationships between position, velocity, and acceleration. We simply add the z coordinate, which is then treated in a c... | {
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"openwebmath_score": 0.8972199559211731,
"tags... |
ros, robot-state-publisher, roslauch
</geometry>
<origin xyz="-0.07 -0.12 0.352" rpy="0 0 0"/>
</visual>
<collision>
<geometry>
<box size="0.14 0.23 0.1" />
</geometry>
<origin xyz="0.0 -0.02 0" rpy="0 0 0"/>
</collision>
<inertial>
<!-- COM experimentally determined -->
<origin xy... | {
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ros, rosmessage
Originally posted by troski with karma: 26 on 2017-04-19
This answer was ACCEPTED on the original site
Post score: 1
Original comments
Comment by bobpop on 2017-04-19:
I did rostopic echo and found that my publisher didn't work.I guess that there are something wrong in my cmakelists. | {
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c++, converting, c++20, casting
if (sizeof(T) < sizeof(S) && (val_ > std::numeric_limits<T>::max() || val_ < std::numeric_limits<T>::lowest()))
throw std::range_error(std::format("Cannot convert value: the value contained in the input type '{}' ({}) is outside the range of the requested output type '{}'", ... | {
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1. $$B(G)$$ is true for all $$G\in \mathcal{G}$$
2. $$B(A)$$ is true then it is also true for $$B(\Omega\setminus A)$$
3. $$B(A_1),\ B(A_2),\ \cdots$$ is true than its also true for $$B\left(\bigcup_{k=1}^\infty A_k\right)$$
So here 1. shows that we know the statement is true for at least a generating set of $$\mathca... | {
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"openwebmath_score": 0.8577460646629333,
"tag... |
type-theory, dependent-types
Title: Variable rule in dependent type theory This is the = Type variable rule that I'm seeing through out the my course and unable to grasp it completely.
$$\dfrac{\phi \vdash \Gamma[\mathrm{ctx}] \qquad \Gamma(x) = \tau}
{\phi; \Gamma \vdash x : \tau}
\textsf{(ty-var)}$$... | {
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} |
momentum of the golf ball and also measure the time of impact, you can divide the momentum change by the time to get the average force of impact. The standard unit for acceleration is m/s 2. Ok, what about another example? So, how did they get these values? If I assume the piano stops, I could write the work-energy equ... | {
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"lm_q1_score": 0.9830850857421198,
"lm_q1q2_score": 0.8105162320633618,
"lm_q2_score": 0.8244619350028204,
"openwebmath_perplexity": 657.0615449388325,
"openwebmath_score": 0.54679936170578,
"tags": nul... |
electromagnetism
$V_+(t-z/v) = Z_0I_+(t-z/v)$
where the subscript $+$ signifies the voltage and current in the $+z$ direction (Note that there is a similar formula for the -ve reflected direction).
I've been searching all night, but I have yet to find a solid explanation for this that doesn't involve derivations from ... | {
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homework-and-exercises, string-theory, conformal-field-theory
$$ \vartheta_1 \left( \frac{w-w'}{2\pi} | \tau \right) $$
but it vanishes at that point, so the value has to be computed by l'Hospital rule – or the first term from the Taylor expansion as a function of $w-w'$, if you wish:
$$ \left. \vartheta_1 \left( \fr... | {
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observational-astronomy, galaxy, radio-astronomy, raw-data
Title: Method to get data from NED IPAC and NVSS, without manually giving RA/dec input I am collecting the radio flux data at 1.4Ghz frequency for all 1544 Markarian Galaxies for a study. For that, I have to first put the names of these Markarian galaxies in N... | {
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"tags": "observational-astronomy, galaxy, radio-astronomy, raw-data",
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} |
control, ros
Title: ROS: Best practices? I'm going to build a small robot system, and it seems like that ROS serves a nice framework to control and program the system.
However, I am wondering which is the best practice to manage the components of my robot.
Does it make sense to put all the sensors in one node?
Should... | {
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} |
general-relativity, gravity
One way to say it is to treat the inertial-movement line as the definition of a straight line. So you keep the Newtonian idea that inertial bodies move along a "straight line", only now this line appears curved in 3d-space. This is like how a circumfrance-line of a sphere is a "straight lin... | {
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"tags": "general-relativity, gravity",
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# Proving two graphs have the same chromatic number
Let $$G= (V,E)$$ be a graph, and let $$G'= (V',E')$$ be a copy of $$G$$. That is, for each $$v ∈ V$$ there is a corresponding $$v' ∈ V'$$ and for each edge $$(u,v)∈E$$ there is a corresponding edge $$(u',v')∈E'$$. Construct a graph $$G\widehat{}$$ by drawing an edge ... | {
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"openwebmath_score": 0.8398805856704712,
"tag... |
ros-melodic
<exec_depend>controller_interface</exec_depend>
<exec_depend>pluginlib</exec_depend>
<exec_depend>roscpp</exec_depend>
<exec_depend>std_msgs</exec_depend>
<exec_depend>nav_msgs</exec_depend>
<!-- The export tag contains other, unspecified, tags -->
<export>
<controller_interface plugi... | {
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c#, dependency-injection, ninject, fluent-assertions
private void WhenBindingFactoriesUsingConvention(string interfacesEndingWith) {
kernel.Bind(services => services
.From(AppDomain.CurrentDomain
.GetAssemblies()
.Where(assembly => assembly.FullName.Contains("MyProject")
... | {
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"tags": "c#, dependency-injection, ninject, fluent-assertions",
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electrostatics
Title: Can a conductor's empty cavity contain an electric field? Assume there is no external field. Is it possible to have an electrically neutral conductor with a cavity such that an electric field in the cavity is sustainable at electrostatic equilibrium?
Here is the cross section of an attempt. | {
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brushless-motor, multi-rotor, esc
2) Cooling. ESCs contain power electronics that need to be cooled. Certainly having them under the forced air coming from the spinning rotors helps but at the theoretical cost of reduced aerodynamic efficiency. If you can keep your ESCs cool enough elsewhere , then no problems. | {
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php, object-oriented, pdo
If you're going to have multiple lines commented, use /* ... */ instead of // or #.
To make the name stand out of a function, you should Capitalize The First Letter (market -> Market).
Instead of a function that takes 300 arguments, make it receive an array.
Instead of echoing ok, error or a ... | {
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "php, object-oriented, pdo",
"url": null
} |
python, python-3.x, game, tic-tac-toe
The commas will concatenate the strings together and sep='' sets up the concatenation so that there are no spaces between the concatenated strings.
Next, the logic of inputting the position on the board seems to be off.
row = int(input("Player one, enter row: "))-1
column = int(in... | {
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"tags": "python, python-3.x, game, tic-tac-toe",
"url": null
} |
ros2, rviz
Title: ROS2 - Rviz2 connect to ros instance? is it possible to rviz to the robot through network ?
I used to do this from a ubuntu VM to a rpi but I had to install a master and a slave
now I am really talking about installing Qt graphical tools and connect to the robot via network
how can I do that ? the on... | {
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"tags": "ros2, rviz",
"url": null
} |
c#, random, shuffle
Observe this does 2 things differently. (1) It uses list.Count which does not require enumerating over the collection to perform the count, and (2) it clamps the end at list.Count just in case you input a firstN that is greater than list.Count.
VERY Minor things I would do differently regarding na... | {
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"tags": "c#, random, shuffle",
"url": null
} |
points in a triangular lattice Noam D. Elkies 2011-08-25T02:43:45Z 2011-08-27T14:37:25Z <p>You might have noticed that the difference between your two sequences is $0,1,2,3,4,5,6,7,8,\ldots$ and that the optimal configurations seem to be the same for both problems.</p> <p>This is true in general, and is a nice applicat... | {
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"openwebmath_score": 0.8056526184082031,
"tags"... |
nanoscience
$$
\partial_t \mathbf{d} = -i\omega \mathbf{d}
$$
Substituting into the above equation, you get:
$$
Q_{abs} = \frac{1}{2}\mathbf{Re}\{-i\omega \mathbf{d}\cdot\mathbf{E}^*_{inside}\} = \frac{\omega}{2}\mathbf{Im}\{\mathbf{d}\cdot\mathbf{E}^*_{inside}\}
$$
and similarly for the $Q_{ext}$. | {
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"tags": "nanoscience",
"url": null
} |
electric-fields
Title: Electric Field inside a hollow ball, excentred of a homogeneous charged ball Q:
We have a homogeneous charged ball with radius R which contains a ball-shaped hollow (with radius := r and distance from center of the bigger ball (M) to the center of the hollow (N) := b).
What’s now the field force... | {
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"tags": "electric-fields",
"url": null
} |
java, design-patterns, json, error-handling, factory-method
try (InputStream is = new URL(url).openStream();
JsonReader reader = Json.createReader(is);) {
return reader.readObject();
} catch (IOException e) {
LOG.log(Level.SEVERE, e.toString(), e);
return null;
}
} | {
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"id": 27901,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, design-patterns, json, error-handling, factory-method",
"url": null
} |
reinforcement-learning, value-functions
The first two can be useful measurements of an MDP. Although the uniform random policy might not be the best, it encapsulates the situation where the agent has absolutely no knowledge of the MDP, and can be a baseline for comparison. The optimal value functions are often a targe... | {
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"id": 1885,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "reinforcement-learning, value-functions",
"url": null
} |
python, python-3.x, object-oriented, random, file-system
tests_rockpaper.py:27: AssertionError
======= short test summary info =======
FAILED tests_rockpaper.py::test_search_for_player - assert False is True
We can see the error appears that the user_found flag isn't being set correctly. Of course! Let's fix that:
de... | {
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"openwebmath_score": null,
"tags": "python, python-3.x, object-oriented, random, file-system",
"url": null
} |
c++, c++11, c++17, bigint
if(first.neg && !second.neg){
first.neg = false; return second - first;
}
if(first.neg && second.neg){
neg = true;
first.neg = second.neg = false;
}
int n = first.number.size();
int m = second.number.size();
... | {
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"tags": "c++, c++11, c++17, bigint",
"url": null
} |
ros
I guess the error is because of missing file asctec_msgs/Height.h. I even found a ticket related the issue. But no solution.
http://robotics.ccny.cuny.edu/trac/ticket/35
Other than this I get one more error of " undefined reference to `g_thread_init "
I am using cturtle on ubuntu 9.10. I am trying to use the groun... | {
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"url": null
} |
c#, singleton
Another fun side effect is that anyone can fire the event to all of the subscribers, even if you only intend it for private use. | {
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} |
java, multithreading
1
2
5
6
3
4
move on Multi-threaded concepts are complicated at times. If you really want to learn multi-threading, it is important to get it right. Some things can be extremely difficult to get right. I can highly recommend reading Java Concurrency in Practice.
Overall
It is not that often I see "... | {
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"tags": "java, multithreading",
"url": null
} |
electronic-band-theory
Therefore,
$$
\begin{align}
v_x \Big\vert_{k_x = 0, k_y = \pi} &\equiv \frac{\partial E(\mathbf{k})}{\partial k_x} \Big\vert_{k_x = 0, k_y = \pi}
= \mathrm{sign}(k_x) \cdot | k_y - \pi | \\
v_y \Big\vert_{k_x = 0, k_y = \pi} &\equiv \frac{\partial E(\mathbf{k})}{\partial k_y} \Big\vert_{k_x = 0,... | {
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} |
### More Theoretical Explanation
Let us give a more theoretical explanation.
If an $n\times n$ matrix $A$ is diagonalizable, then there exists an invertible matrix $P$ such that
$P^{-1}AP=\begin{bmatrix} \lambda_1 & 0 & \cdots & 0 \\ 0 & \lambda_2 & \cdots & 0 \\ \vdots & \vdots & \ddots & \vdots \\ 0 & 0 & \cdots & \... | {
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"lm_q2_score": 0.8791467801752451,
"openwebmath_perplexity": 232.2265187640673,
"openwebmath_score": 0.9666319489479065,
"tags": n... |
general-relativity
What happens when an object achieves truly zero velocity in theory? Does time speed blow to infinity and if not what's the maximum time speed that can be achieved such as speed of light(but for time rate not space)?
Can object even achieve zero velocity in theory? If not what's the minimum velocity ... | {
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"openwebmath_score": null,
"tags": "general-relativity",
"url": null
} |
cancer, liver, alcohol
Acetaldehyde causes a prolongation of the doubling time and an
increase in the modal volume of cells in culture.
Alcohol inhibits cell mitosis in G2-M phase in cell cycle in a human
lymphocytes in vitro study.
Ethanol induces transient arrest of cell division (G2 + M block)
followed by G0/G1 blo... | {
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "cancer, liver, alcohol",
"url": null
} |
ubuntu, ros-humble, abb
[static_transform_publisher-3] from 'world' to 'base_link'
[robot_state_publisher-2] [INFO] [1695217060.046552659] [robot_state_publisher]: got segment base
[robot_state_publisher-2] [INFO] [1695217060.046595124] [robot_state_publisher]: got segment base_link
[robot_state_publisher-2] [INFO] [1... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ubuntu, ros-humble, abb",
"url": null
} |
homework-and-exercises, stress-strain, fluid-statics
Also, I tried attempting the question as follows:-
Consider a differential ring of height $dh$ situated a depth of $h$ as shown below:-
Now due to pressure of the liquid the force exerted on the walls of the differential element by water is given by
$$F_{\text{liq.... | {
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"url": null
} |
tree, swift, machine-learning
Results in a file which looks like this:
import Foundation
class Node: CustomStringConvertible {
let isTerminal: Bool
var value: Double? = nil
var leftChild: Node? = nil
var rightChild: Node? = nil
var variable: Int? = nil
var description: String
var result: I... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "tree, swift, machine-learning",
"url": null
} |
@IttayWeiss, an excellent point. – Andreas Caranti Apr 23 at 9:52
What is the ambient universe of sets? – Anna Apr 23 at 10:06
– Andreas Caranti Apr 23 at 10:07
Thank you Andreas. I think that my point of confusion is why you can write $\left\{ x \in S : x \in A \text{ for all } A \in \emptyset \right\} = \left\{ x ... | {
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"lm_q1q2_score": 0.8592749861808604,
"lm_q2_score": 0.8856314632529872,
"openwebmath_perplexity": 289.6879088322624,
"openwebmath_score": 0.9042208194732666,
"tag... |
thermodynamics
Title: Interpretation of the Gibbs free energy Gibbs free energy is defined as the total non-expansion work (i.e. electrical work) that a system can perform. However, it also indicates whether or not a reaction is spontaneous. I am therefore confused on the interpretation of the Gibbs free energy when i... | {
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"id": 17591,
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"openwebmath_score": null,
"tags": "thermodynamics",
"url": null
} |
Please note this is only the case for independent events and is in fact a direct result of the definition of independence.
-
When you are talking about two random variables, you need to think about their joint distribution - so, rather than talking about $P(X=i)$, you need to talk about $P(X=i\text{ and }Y=j)$, or, a... | {
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"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.984810949854636,
"lm_q1q2_score": 0.8074399392545076,
"lm_q2_score": 0.8198933403143929,
"openwebmath_perplexity": 128.92557013253844,
"openwebmath_score": 0.9153161644935608,
"tag... |
Here is the question I'm working with. If you have a simpler example, that would be great.
Find an integer $x$ such that $x\equiv2\bmod5$, $x\equiv1\bmod13$ and $x\equiv5\bmod17$.
• There is an explicit example on Wikipedia. What part of that example do you not understand? – TMM Apr 16 '13 at 10:02
• After finding $1... | {
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"lm_q1_score": 0.970239907775086,
"lm_q1q2_score": 0.8085247825184448,
"lm_q2_score": 0.8333245994514084,
"openwebmath_perplexity": 301.94952895626346,
"openwebmath_score": 0.7832580804824829,
"tag... |
And so of course the row space of this matrix cannot be very high because this is a very thin matrix. There's lots of zeros in that matrix, only a few ones. And so you can go along and do a bit of trig to try to figure out how many rows are non-zero in this matrix.
And a bit of trig tells you-- well it depends on the ... | {
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"lm_q1_score": 0.9898303440461105,
"lm_q1q2_score": 0.8527766569715394,
"lm_q2_score": 0.8615382040983515,
"openwebmath_perplexity": 398.4738235841221,
"openwebmath_score": 0.7443466186523438,
"tags": null,
... |
c++, primes, programming-challenge
public:
typedef LazyPrimeIterator iterator;
LazyPrime(integer num)
: max(ceil(sqrt(num)))
, table(max, false)
, inc(2)
, lastPrimeFound(5)
{
primes.push_back(2);
primes.push_back... | {
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"openwebmath_score": null,
"tags": "c++, primes, programming-challenge",
"url": null
} |
java, algorithm, tree
@Test
public void testRightSkewed() {
/* 1
* \
* 2
* \
* 3
*/
Integer[] rightSkewed = {1, null, 2, null, null, null, 3 };
CheckBalancedTree<Integer> cbt = new CheckBalancedTree<>(Arrays.asList(rightSkewed))... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, algorithm, tree",
"url": null
} |
# Solving a linear system whose matrix has imbalanced diagonal entries
I am trying to solve following set of equations:
A(i,i-2)*u(i-2) + A(i,i-1)*u(i-1) + (A(i,i)+β(i) )*u(i) + A(i,i+1)*u(i+1) + A(i,i+2)*u(i+2)= B(i) + β(i)
where i=1:1000000
If values of β varies(several orders) greatly then what would be the best... | {
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"lm_q1_score": 0.9693241965169938,
"lm_q1q2_score": 0.8219556679240074,
"lm_q2_score": 0.8479677602988602,
"openwebmath_perplexity": 538.6106532112407,
"openwebmath_score": 0.733206570148468,
"tags... |
python, mathematics, combinatorics
I also used the fact that itertools always gives the results in the same order, rendering the use of set in get_permutations() obsolete. This version is more complicated and not as readable, but it performs better. I get an average execution time of around 0.45s on my machine. which ... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, mathematics, combinatorics",
"url": null
} |
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