text stringlengths 49 10.4k | source dict |
|---|---|
for each of them. You do not have to prove that the equations you write down define prime ideals.) Hints: \begin{enumerate} \item You may use the Hilbert Nullstellensatz, and it suffices to find irreducible locally closed subsets which cover the set of closed points of $V(I)$. \item There are two easy components. \item... | {
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ros, rosmake, roboearth
Title: RoboEarth installation problem
Hi all,
I want to install RoboEarth on Ubuntu 12.04. So far, I followed this guide ros wiki with some minor modifications. I've done the following steps:
1.
rosinstall ~/ros /opt/ros/fuerte 'ros wiki source'
That gave me an error, so i just downloaded the... | {
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thermodynamics, nuclear-physics, atmospheric-science, explosions, meteorology
Title: Nuclear bomb mushroom cloud with trumpet formation I have found this specific image here (Loong found out that it is the Soviet Joe 4 test of the 400 kiloton RDS-6 warhead at the Semipalatinsk test site on August 12, 1953):
Also an i... | {
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"tags": "thermodynamics, nuclear-physics, atmospheric-science, explosions, meteorology",
... |
algorithm-analysis, runtime-analysis, distributed-systems
Title: How do you compute the time complexity of distributed algorithms? How to compute the run-time of distributed algorithms in message passing systems? I was reading across and found it very weird that any computation done in each node is considered to take ... | {
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"tags": "algorithm-analysis, runtime-analysis, distributed-systems",
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c++, performance, algorithm, pathfinding, a-star
sf::Vector2u GetMapSize() const;
Field *** GetFields();
Map(sf::Vector2u);
Map() {}
};
//Searching patch after giving a specified map
class PathFinder
{
private:
//Calculate score between two fields
unsigned CalcScore(Field&, Field&) const;
//... | {
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java, graph
Title: Graph implementation for solving graph problems (java) I've currently started solving some competitive programming Graph questions. But Started using adjacency list as HashMap<Integer,ArrayList<Integer>> list . But in some problems, this doesn't work. so I decided to implement class Graph other than... | {
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quantum-mechanics, homework-and-exercises, quantum-spin
$$
Now, this seems like it depends on what the initial state is, but it doesn't really (since the experiment doesn't, either) unless you happened to start with on $|\psi\rangle = |-\rangle$, in which case the experiment doesn't make sense. As such, you're free to... | {
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Intuitively, I still think the result will be same as that of Extreme value theorem, but I want to prove it using proper results. How should I modify my process?
• When you write $\lim_{t\to\infty}$, do you mean $\lim_{t\to\pm\infty}$? – José Carlos Santos Jul 6 '18 at 9:54
• I would claim that the supremum exists (be... | {
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c#, .net-core
return properties;
}
Each of the Handle<...>(...) methods may call the above method recursively. The caller handles the format and url encoding and finally the concatenation to one string using string.Join("&", properties.Select(format...)). In this way you only have one place where the format occur. | {
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biochemistry, bioenergetics, lipids
Title: Why is hydrogen to oxygen ratio used to compare energy storage efficiency? I came across an article that says that lipids are more efficient energy storage molecules compared to starch because lipids have higher “hydrogen to oxygen ratio”.
I do not understand how “hydrogen to... | {
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1. ## Brainy 2
Fit digits 1 to 8 in such a way that no two consecutive numbers are next to each other.
An example is also attached.
2. Hello, u2_wa!
This is an excellent puzzle!
Place the digits 1 to 8 so that no two consecutive numbers are adjacent.
("Adjacent" numbers are in cells that share a side or a vertex.)
... | {
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physical-chemistry, thermodynamics, solutions
This is an exothermic process, as "bonds" or more accurately, stabilizing intermolecular forces are formed.
Couple all three of these processes together and you have the actual dissolution process of $\ce{NaCl}$.
What's interesting about $\ce{NaCl}$ is that even with the... | {
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electromagnetism, electrostatics, maxwell-equations, polarization
Basically, you are thinking if you can use intuition from the $\mathbf E$ field for the $\mathbf D$ field. But for the intuition part, you are most likely assuming electrostatic intuition, so that requires div($\mathbf E$)=$ \frac{\rho}{\epsilon_{0}} $ ... | {
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... |
take the case where we have to determine the moment of inertia about the centroid y. From many surfaces, the torsional moment of inertia and the torsionial section modulus can also be calculated. a triangle of base 300 mm is mounted on a rectangle of base 300mm and height 400mm. inertia moment 面积惯性矩 3) integrometer [,i... | {
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... |
fft, sampling, frequency, resolution
In other words: you can't sample too fast, and even if the ratio of sampling rate and signal frequency is irrational, you don't lose information.
So, you can follow the sample first, ask questions later philosophy¹.
Then, yes, if you want your periodic signal to occupy singular bin... | {
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The second term on the RHS of (1) is
$$f'(c_j)\int_{x_j}^{x_{j+1}}(x-c_j) \, dx =f'(c_j) \left.\frac{(x-c_j)^2}{2} \right|_{x_j}^{x_{j+1}}= \frac{f'(c_j)}{2} \left[(x_{j+1}-c_j)^2- (x_j - c_j)^2 \right]\\ = \frac{f'(c_j)}{2}\left[\left(\frac{h}{2}\right)^2 - \left(-\frac{h}{2}\right)^2\right]= 0$$
Substituting into (... | {
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javascript, node.js, security, authentication, server
Title: Node.js backend login logic So I wrote a rather primitive login logic in Node.js, which authenticates the user and handles JWT. Is it any good in terms of security, efficiency, building, async/sync, logging. SECURITY is my main concern.
On in a prettier form... | {
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"tags": "javascript, node.js, security, authentication, server",
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python, memory-management, bitwise, cython
As you can see, there are already packages that construct this binary data and allow you to index it at random. Would it be possible to get to an even lower level to the RAM myself? 210ns is fast, but I would like to get indexing below 40ns on a 1000000 bit array. How can thi... | {
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or
$S_L + S_R - 453 - 210 = 0$
Now, we have two unknown forces and one unknown x. So we need two more equations.
Let's pick an axis of rotation at the point where the support on the right meets the plank and call this point A. The system is not rotating about point A, so
$\sum \tau _A = 0$
$\sum \tau _A = -S_L(4.9 -... | {
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"tags... |
The quantity $\binom{n}{k}k$ counts the number of ways to partition people numbered $\{1, 2, \ldots, n\}$ into a chaired committee $A$ of size $k$ and an unchaired committee $B$ of size $n-k$. Given a particular commmittee pair $(A,B)$, let $x$ be the highest-numbered person in either committee who is not the chair of ... | {
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"lm_q1_score": 0.9893474877468791,
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"lm_q2_score": 0.8615382040983515,
"openwebmath_perplexity": 202.1560345903079,
"openwebmath_score": 0.9462562203407288,
"tags... |
nmr-spectroscopy
For $\ce{^13C}$, this equates to $\approx 3\times$ for nOe and $\approx 4\times$ for INEPT. For $\ce{^15N}$, it is $\approx -4\times$ for nOe (yep, negative) and $\approx 25\times$ for INEPT.
Glenn Facey at University of Ottawa has a couple of nice examples of INEPT and DEPT that are well worth lookin... | {
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Proof of Fact E.4
The space $X=[0,1]^\omega$ is compact since it is a product of compact spaces. To see that $Y=(0,1)^\omega$ is a dense $G_\delta$-subset of $X$, note that $Y=\bigcap_{n=1}^\infty U_n$ where for each integer $n \ge 1$
(2)………$U_n=(0,1) \times \cdots \times (0,1) \times [0,1] \times [0,1] \times \cdots$... | {
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"openwebmath_score": 0.993003785610199,
"tags": ... |
algorithms, game-theory, online-algorithms
Suppose we have a envy-free allocation for $n$ players. How do we redistribute to produce an envy-free allocation among the $n+1$ players?
I suspect this is very difficult. The reason is that finding an envy-free, efficient allocation is already a difficult problem. As far a... | {
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python, python-3.x, quiz
this part is repeated, except the i in questionsForMaths[i] (so I guess the i means "expected answer"). And also, in each difficultLevel the is are all the same -- for maths topic from question 1 to 5, i equals 1,7,12,16 and 22; for history topic, i equals 2,6,12,17,21. Thus this is how expect... | {
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homework-and-exercises, general-relativity, coordinate-systems, tensor-calculus, geodesics
In my calculation, the process is
$$\frac{\partial{x^{'a}}}{\partial{x^d}}=\frac{\partial{x^{a}}}{\partial{x^d}}+\frac{1}{2} {Q_{bc}^{a}}{\frac{\partial}{\partial{x^d}}}(x^b x^c)$$
$$=\delta_{b}^{a} + \frac{1}{2}{Q_{bc}^{a}(\del... | {
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1. MarkS says:
One more minor comment: at large k, p_k should be the reciprocal of the average roll; this is (1+2+3+4+5+6)/6 = 7/2, which agrees with what you got from the recursion relation.
1. Thanks for the comments! I added the missing root. Nice interpretation of 2/7 also, hadn’t thought of it that way.
2. ju2t... | {
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"openwebmath_score": 0.6535928845405579,
"ta... |
relativity, reference-frames, inertial-frames, relative-motion, galilean-relativity
Similarly, another statement made by Resnick in his book, which is related to the above question is as follows: "The objects whose motions we study may be accelerating with respect to such frames but the frames themselves are unacceler... | {
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"tags": "relativity, reference-frames, inertial-frames, relative-motion, galilean-relativity... |
javascript, jquery, html, queue, promise
const $ = selector => new PsuedoJquery(selector);
class PsuedoJquery {
constructor(selector) {
this.elements = [...document.querySelectorAll(selector)];
this.queue = [];
}
async runNext() {
await this.queue.shift()();
if (this.queue.length) {
await t... | {
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"tags": "javascript, jquery, html, queue, promise",
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general-relativity, symmetry, metric-tensor, coordinate-systems, covariance
$$
Consequently particle's energy $E_0$ and angular momentum $L_0$ are conserved. Suppose I make a coordinate transformation: $d \bar{x}^{\mu} = \Lambda^{\mu}_{\,\,\nu}\,dx^{\nu}$ where, if I am not mistaken, $\Lambda$ is a matrix, which is an... | {
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"tags": "general-relativity, symmetry, metric-tensor, coordinate-systems, covariance",
"u... |
java, security, cryptography
private int port;
private byte[] nonce;
private byte[] keyData;
private SSLSocket client;
private SSLServerSocket server;
private DataOutputStream writer;
private DataInputStream reader;
private static final String PROVIDER_NAME = BouncyCastleProvider.PROVIDER_... | {
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"tags": "java, security, cryptography",
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} |
atmosphere, hypothetical, solar-terrestrial-physics, magnetosphere
Title: (How long) would Earth's atmosphere last without a global magnetic field? The Earth's magnetic field provides an important protection against the solar wind (for example, see Wikipedia on Earth's magnetic field and references therein). Mars may... | {
"domain": "earthscience.stackexchange",
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"tags": "atmosphere, hypothetical, solar-terrestrial-physics, magnetosphere",
"url": nu... |
solidworks, cad, technical-drawing, drafting, autodesk-inventor
STEP 2
I then extruded the arc, and the tangent apparently (can't figure out how to limit the selection of joined lines), by the radius of the helix (and maybe a tad more to be on the safe side) to create a curved surface. The centerline has to be somewh... | {
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"tags": "solidworks, cad, technical-drawing, drafting, autodesk-inventor",
"url": null... |
Since there is replacement there is no conditional probability, this means that the answer is simply:
$$\frac{6!}{3!2!1!}p( \color{red}\bullet \cap \color{blue}\bullet \cap \color{blue} \bullet \cap\color{green}\bullet \cap\color{green}\bullet\cap\color{green}\bullet)=\frac{6!}{3!2!1!}p(\color{red}\bullet)p^2(\color{b... | {
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"tag... |
frequency-spectrum, digital-communications, channelcoding
of $k(RT)$ seconds. The data symbols are also sent on to
the transmitter while the $n-k$ redundant symbols are created
within the encoder, which then spends the remaining
$kT-k(RT) = (n-k)(RT)$ seconds sending the $n-k$ redundant
symbols to the transmitter at a... | {
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"tags": "frequency-spectrum, digital-communications, channelcoding",
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filters, frequency-response, radar
Title: Frequency response of FIR (MTI delay line canceller) with non constant period Short question
How to plot the magnitude of frequency response of the delay line canceller with non constant period using GNU Octave? Or more directly: how to plot magnitude of frequency response of ... | {
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"url": null
} |
\begin{align} 00000000\_00000000\_00000000\_00000000\_00000000\_00000000\_00000000\_00000000_2 &= 0_{10}\nonumber\\ 00000000\_00000000\_00000000\_00000000\_00000000\_00000000\_00000000\_00000001_2 &= 1_{10}\nonumber\\ 00000000\_00000000\_00000000\_00000000\_00000000\_00000000\_00000000\_00000010_2 &= 2_{10}\nonumber\\ ... | {
"domain": "notebook.community",
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"openwebmath_score": 0.9473579525947571,
"ta... |
ros, pointcloud-to-laserscan
Title: Doubts about pointcloud to laser scan
I was referred to this code previously. I have some doubts about this code, like to clarify some of them.
#include "ros/ros.h"
#include "pluginlib/class_list_macros.h"
#include "nodelet/nodelet.h"
#include "sensor_msgs/LaserScan.h"
#include "pc... | {
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"tags": "ros, pointcloud-to-laserscan",
"url": null
} |
quantum-mechanics, quantum-spin, tensor-calculus, observables
What is the interpretation of this expression. It does not seem to be a state $| \psi \rangle$ since one side ($R_{21}Y_{1}^{0}$ and $R_{21}Y_{1}^{1}$) of the tensor product in each term is projected onto positional space while the other is the two dimensio... | {
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"openwebmath_score": null,
"tags": "quantum-mechanics, quantum-spin, tensor-calculus, observables",
"url": null
} |
organic-chemistry, reaction-mechanism, synthesis, erratum
Title: Mechanism for Diels–Alder of alkene with substituted thiophene sulfone with loss of sulfur dioxide I came across a synthesis of centrohexaindane that has the following steps:
This is a Diels–Alder reaction that gives an aromatic ring. I know that alkyne... | {
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"openwebmath_score": null,
"tags": "organic-chemistry, reaction-mechanism, synthesis, erratum",
"url": null
} |
galaxy, galactic-dynamics, gravitational-lensing
Title: Why is SPT0418-47 ("the most distant Milky Way look-alike") expected to evolve into an elliptical galaxy? Phys.org's ALMA sees most distant Milky Way look-alike describes the image reconstruction of a strongly and very nicely lensed z = 4.2 galaxy by a by a foreg... | {
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"tags": "galaxy, galactic-dynamics, gravitational-lensing",
"url": null
} |
javascript, beginner, parsing, xml
Use for of loops rather than for if loops if you do not need the index counter
Use for of loops rather than Array iterators
Function scoped variables should be declared as var and hoisted to the top of the function
Code design
As you have several potential errors in the code (unde... | {
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"tags": "javascript, beginner, parsing, xml",
"url": null
} |
# Examples of common false beliefs in mathematics
The first thing to say is that this is not the same as the question about interesting mathematical mistakes. I am interested about the type of false beliefs that many intelligent people have while they are learning mathematics, but quickly abandon when their mistake is... | {
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"openwebmath_score": 0.8844338655471802,
"tags... |
The integral is $\int_{x= 0}^{\sqrt{2}}\int_{y=0}^{\sqrt{2- x^2}}\int_{z= x^2+ y^2}^2 yz dzdydx$.
3. ## Re: Volume integral
Thanks very much for your reply,
So, I had the limits for y and x correct, but the initial y limits wrong. I had the answer as $\frac{2\sqrt{2}}{5}$. However, I later arrived at $\frac{16\sqrt{... | {
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"lm_q2_score": 0.8175744806385543,
"openwebmath_perplexity": 218.5835340431926,
"openwebmath_score": 0.9470980763435364,
"tag... |
electromagnetism, magnetic-fields
Title: Why does the $\mathbf{B}$-field of a cylindrical magnet have no $\phi$-component I have a cylindrical permanent magnet with uniform magnetization $\mathbf{M}=\mathbf{a_z}M$, length $L$ and Diameter $D$.
I'm wondering why the $\mathbf{B}$-field created by this uniform magnetiza... | {
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"openwebmath_score": null,
"tags": "electromagnetism, magnetic-fields",
"url": null
} |
particle-physics, black-holes, electrons
However, as I've mentioned, we do know that whatever spatial extent the electron may have cannot be larger than $10^{-22}\text{ m}$, and we're still two orders of magnitude away from probing that with the most powerful particle accelerator in the world. So for at least the fore... | {
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"id": 36999,
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"tags": "particle-physics, black-holes, electrons",
"url": null
} |
Staff - 4 years, 7 months ago
There example given implies that HHH is counted as two consecutive HHs. This seems questionable as in standard English two consecutive HHs means HHHH. Is this really what the scenario intended?
- 1 year, 1 month ago
Yes, that is what the scenario intended. The consecutive pairs are allo... | {
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"lm_q1q2_score": 0.8515336201430932,
"lm_q2_score": 0.8840392741081575,
"openwebmath_perplexity": 1207.6052515524545,
"openwebmath_score": 0.9509485363960266,
"tags":... |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 20 Nov 2018, 19:57
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customize... | {
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"id": null,
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"lm_q1_score": 0.9661559568635488,
"lm_q1q2_score": 0.8645061782350755,
"lm_q2_score": 0.8947894717137996,
"openwebmath_perplexity": 6432.559793194202,
"openwebmath_score": 0.6672350764274597,
"tags":... |
formal-languages, regular-languages
$4$
$5$
$6$
$\infty$ (The language isn't regular)
Now, although the intuition says the answer is $\#4$ it's actually a regular language and the minimal number of states is $6$ (answer $\#3$).
I've tried to think about a construction for a DFA accepting $L$, unsuccessfully. Here's a... | {
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"tags": "formal-languages, regular-languages",
"url": null
} |
cc.complexity-theory, reference-request, approximation-algorithms, fixed-parameter-tractable
Then, there is the issue of PTAS versus FPTAS. If we want to find a solution within $(1+\epsilon)$ from optimal, we can parameterize by $1/\epsilon$. Then, a PTAS corresponds to an XP-algorithm in the parameterized setting, wh... | {
"domain": "cstheory.stackexchange",
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"tags": "cc.complexity-theory, reference-request, approximation-algorithms, fixed-parameter-... |
Suppose that $\bigcap_{i=1}^\infty O_i=\varnothing$. Choose $x_1 \in O_1$. There must exist some $n_1$ such that $x_1 \notin O_{n_1}$. Choose $x_2 \in O_{n_1}$. There must exist some $n_2>n_1$ such that $x_2 \notin O_{n_2}$. Continue in this manner we can choose inductively an infinite set $A=\{ x_1,x_2,x_3,\cdots \} \... | {
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"id": null,
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"lm_q1_score": 0.9843363545048391,
"lm_q1q2_score": 0.8265806744663752,
"lm_q2_score": 0.83973396967765,
"openwebmath_perplexity": 90.51940825272462,
"openwebmath_score": 0.9695743918418884,
"tags": nu... |
c#, design-patterns
So I can just use like so:
GenericSingletonFactory<ISomething>.Instance.RegisterProductType(1, typeof(ImplementingISomething));
ISomething something = GenericSingletonFactory<ISomething>.Instance.GetObject(1);
It seems ok... but am I missing something here? is this a good way to do this kind of th... | {
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The first few values of the probability density function of $$N$$ are given in the following table:
$$n$$ $$\P(N = n)$$ 1 2 3 4 5 0.33333 0.18827 0.13477 0.09657 0.06926
Find the probability that a game of craps will last at least 8 rolls.
1. $$\E(N) = \frac{557}{165} \approx 3.3758$$
2. $$\var(N) = \frac{245\,672}... | {
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"lm_q2_score": 0.8175744761936437,
"openwebmath_perplexity": 518.4472262315597,
"openwebmath_score": 0.7424265742301941,
"tags": null,
... |
general-relativity, special-relativity, inertial-frames, estimation
Title: Is a laboratory space a (decent enough) inertial system? regarding a 1m x 1m x 1m space (e.g. at LIGO) and a particle (e.g. a proton) moving at $0,96\cdot c$ I was wondering if this space could be treated as an inertial system.
I calculated tha... | {
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"tags": "general-relativity, special-relativity, inertial-frames, estimation",
"url": nul... |
quantum-field-theory, special-relativity
Q2: no, space-time coordinates are not rejected. Rather, they are implemented differently than in standard QM. It's a whole new paradigm. In standard QM you have a position operator $\hat X$; if you wanted to extend this into a covariant theory, you'd have to introduce a time o... | {
"domain": "physics.stackexchange",
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"tags": "quantum-field-theory, special-relativity",
"url": null
} |
LATER: In answer to your actual question: I am not aware of a name for what you want, although that does not at all imply there isn't one. You could call it the simply connected closure and define it as the intersection of all simply connected closed sets containing $S.$ That would definitely work provided that such an... | {
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"lm_q1_score": 0.9799765575409524,
"lm_q1q2_score": 0.844287243442317,
"lm_q2_score": 0.8615382040983516,
"openwebmath_perplexity": 173.99290746190746,
"openwebmath_score": 0.8951232433319092,
"tag... |
lagrangian-formalism, field-theory, interactions
Title: How do $\phi^4$ terms result in an interacting (classical) field? It was my understanding that a scalar field, $\phi(t;\vec{x})$, varying in time and parametrised by position, was 'non-interacting' if the field evaluated at one point affected the field evaluated ... | {
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"id": 39316,
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"tags": "lagrangian-formalism, field-theory, interactions",
"url": null
} |
c#, file
Title: Copy certain lines from one text file to another I need to open a file, read a line and if that line respect some conditions write it to another file, the line that I'm reading is a normal ASCII string representig HEX values and I need to paste it into a new file as HEX values and not as ASCII string.
... | {
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This is actually an interesting and deep problem. I wonder if it's NP-complete (probably not, if we limit ourselves to inputs of the form {1, 2, 3, ..., n} there should be an efficient way to find solutions. wouldn't surprise me if the full generalization is NP-complete though)
Last edited:
#### Amer
##### Active me... | {
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"lm_q2_score": 0.8774767890838836,
"openwebmath_perplexity": 271.77924176798933,
"openwebmath_score": 0.57173752784729,
"tag... |
simulation, rviz, ogre, stage
Title: Problem with stage + rviz (segmentation fault)
Hi, i'm simulating an array of robots with laser and I want to see all laser scans in Rviz.
After start roscore, if I rosrun stageros node and then rviz node, the problem appears:
gustavo@gustavo-ProBook:~$ rosrun rviz rviz
[ INFO] [... | {
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"tags": "simulation, rviz, ogre, stage",
"url": null
} |
javascript, unit-testing, ecmascript-6, event-handling, dom
const v4 = Upvote.create('count-4-downvoted');
assert.equal(v4.count(), 4);
assert.equal(v4.upvoted(), false);
assert.equal(v4.downvoted(), true);
assert.equal(v4.starred(), false);
const v5 = Upvote.create('count-5-downvoted-starred');
assert.eq... | {
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"tags": "javascript, unit-testing, ecmascript-6, event-handling, dom",
"url": null
} |
This quantity can be computed by an algorithm of Ruhe (1987). It is trivially bounded above by $\nu(A)$ and is also bounded below by a multiple of it (László, 1994):
$\notag \displaystyle\frac{\nu(A)}{n^{1/2}} \le d(A) \le \nu(A).$
Normal matrices are a particular class of diagonalizable matrices. For diagonalizable ... | {
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"lm_q1_score": 0.9928785723078832,
"lm_q1q2_score": 0.8399181136250886,
"lm_q2_score": 0.8459424314825853,
"openwebmath_perplexity": 166.27571390853623,
"openwebmath_score": 0.9715813398361206,
"tags": n... |
java, swing, number-guessing-game, user-interface
you followed the Java Naming Conventions
Your identifier names come from the problem domain.
Visibility
You declared all your members and methods private.
This is good since it serves both, the information hiding/encapsulation principle and the interface segregation p... | {
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"tags": "java, swing, number-guessing-game, user-interface",
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} |
# Unbounded sets
1. Mar 4, 2010
### BelaTalbot
Is a bounded set synonymous to a set that goes to infinity? I feel like unless a set is
(-infinity, n) or [n, infinity) it is not going to be unbounded.
The other thing that I was wondering is can a set be neither open nor closed AND unbounded? Doesn't the definition o... | {
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"lm_q1_score": 0.9790357597935574,
"lm_q1q2_score": 0.8379088779412783,
"lm_q2_score": 0.8558511469672594,
"openwebmath_perplexity": 546.1385048452983,
"openwebmath_score": 0.7291372418403625,
"tag... |
electromagnetism, mathematics, material-science
$M_{rev}$ corresponds to (reversible) magnetic domain wall bending (the S-shaped magnetization curve, but without hysteresis)
$M_{irr}$ corresponds to (irreversible) magnetic domain wall displacement against the pinning effect (the hysteresis). | {
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"tags": "electromagnetism, mathematics, material-science",
"url": null
} |
c, hash-map
// debug printing. customise printf format strings by key & value types
void ht_print_search(HashTable* table, ht_key_t key) {
HashTableItem* val;
if ((val = ht_search(table, key)) == NULL) {
printf("Key:%s does not exist\n", key);
return;
}
printf("Key:%s => %d\n", key, val->value);
}
sta... | {
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"openwebmath_score": null,
"tags": "c, hash-map",
"url": null
} |
electrical-engineering, embedded-systems
An option would be to break the traces and then (if you want the FPGA again later) to add decent analogue switches. Sometimes traces come along the board in such a way that a simple dual Analogue Switch can be dropped right across a gap you made with the scalpel. I've done that... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "electrical-engineering, embedded-systems",
"url": null
} |
general-relativity, special-relativity, velocity, relativity, free-fall
This has a an intuitively obvious visual interpretation in terms of the size of the object, namely that dense objects with small surface area will have a better chance of breaking the sound barrier than light objects with large surface area. Addit... | {
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"tags": "general-relativity, special-relativity, velocity, relativity, free-fall",
"url":... |
pcl
Title: SAC Segmentation Hangs
I'm using SAC segmentation to find planes in my point cloud data. I find clusters, and then fit a plane to each cluster.
Sometimes I'll get a cluster that causes the node to hang. CPU usage will spike to 100%, and I can't end the node with ctrl-c.
I'm trying to figure out what type o... | {
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"id": 4823,
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"tags": "pcl",
"url": null
} |
bash, linux
A simpler way to write:
cat << EOF
<?xml version='1.0' encoding='utf-8'?>
<xliff xmlns="urn:oasis:names:tc:xliff:document:1.1" version="1.1">
<file source-language="en-US" datatype="plaintext">
<body>
<trans-unit xml:space="preserve" id="1" approved="no" restype="x-gettext-domain-header">
... | {
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"openwebmath_score": null,
"tags": "bash, linux",
"url": null
} |
image-processing, computer-vision
Title: What is coverage count and how can I build it? For my assignment, I am required to blend multiple square images into a single large image where each square image represents a part of the final image. To accomplish this task, I have successfully completed all necessary steps exc... | {
"domain": "dsp.stackexchange",
"id": 11973,
"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": "image-processing, computer-vision",
"url": null
} |
quantum-mechanics, wavefunction, electrons, hamiltonian
This may be confusing as we are including the wavefunction of the interested electron (the effect) in calculating what could be the possible cause "on" it to have that effect. This is the crux of the mean field approach where effect feedbacks the cause until we r... | {
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To sum up, $\bar{f}:A \to B$ is injective and thus $|A|\le |B|$.
Does this proof look fine or contain gaps? Do you have suggestions? Many thanks for your dedicated help!
• Part of growing up, mathematically, is being able to verify your own proofs. – Asaf Karagila Sep 19 '18 at 7:24
• @AsafKaragila And part of learni... | {
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In [13]:
noisy_flux = y+noise*10
p = polyfit(x,noisy_flux,1)
print p
[ 3.4289715 -3.65562359]
In [14]:
# plot it
pl.clf() # clear the figure
pl.plot(x,noisy_flux,'k.') # repeated from above
pl.plot(x,np.polyval(p,x),'r-',label="Best fit") # A red solid line
pl.plot(x,2.5*x+1.2,'b--',label="Input") # a blue dashed l... | {
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"lm_q2_score": 0.8221891305219504,
"openwebmath_perplexity": 3176.441913635825,
"openwebmath_score": 0.5396174192428589,
"tags": nu... |
formal-languages, regular-languages, pumping-lemma
Title: Regular language with pumping lemma I have that language $S=\{a^n b^m c^m\mid n,m \geq 0\}$.
How can I prove with the pumping lemma that it isn't regular? Can I use the concatenation closure and say that it's the language $L_1 = \{a^n\mid n\geq0\}$ and $L_2 =\{... | {
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"tags": "formal-languages, regular-languages, pumping-lemma",
"url": null
} |
# An example of an infinitely differentiable function with compact support
Could anyone give me a function infinitely differentiable on the real line and having a compact support? And the function must be nonnegative and normalized, i.e. the integration of the function on the real line must be one.
I tried to think o... | {
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"openwebmath_perplexity": 186.16613108625737,
"openwebmath_score": 0.6859179735183716,
"ta... |
You are missing the fact that if H is a subgroup of G, and x and y are any elements of H, then x+y must also be an element of H.
4. Jun 6, 2014
### pasmith
The operation of the subgroup is the same as the operation of the full group. Thus you already know that the operation is associative, that there is a unique ide... | {
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"lm_q2_score": 0.8459424411924673,
"openwebmath_perplexity": 1055.0063569536956,
"openwebmath_score": 0.7563889026641846,
"ta... |
keras, accuracy, multi-output
Title: How to calculate a single accuracy for a model with multiple outputs in Keras? Consider the following, rather simple, model:
x = Input(shape=(6,), name="input")
x = layers.Dense(128, activation='relu', name="dense_1")(x)
x = layers.Dense(1024, activation='relu', name="dense_2")(x)... | {
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"openwebmath_score": null,
"tags": "keras, accuracy, multi-output",
"url": null
} |
electromagnetism, special-relativity, magnetic-fields, magnetic-monopoles
PS: If there are no magnetic monopoles in a certain reference frame, then there are no magnetic monopoles in ANY reference frame. Conversely, if there ARE magnetic monopoles in one reference frame, then there are magnetic monopoles in every refe... | {
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"tags": "electromagnetism, special-relativity, magnetic-fields, magnetic-monopoles",
"url... |
turing-machines, undecidability, halting-problem, check-my-answer
However, your proof is somewhat specious.
Firstly, in order to show $\text{Prefix}(L)$ is undecidable, all you need to show is
$$\text{Prefix}(L) \text{ is decideable}\Longrightarrow\text{HALT} \text{ is decidable}.$$ There is no need to show the other ... | {
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"tags": "turing-machines, undecidability, halting-problem, check-my-answer",
"url": null
} |
pathophysiology, kidney
Title: To diagnose osteomyelitis of vertebral column in chronic kidney failure Assume you suspect amyloidosis because of the history of the patient: problem with vertebral column and "purulent" (serous, fibrous, or hemorrhagic) inflammation when patient very young.
Now, the patient has a chroni... | {
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"openwebmath_score": null,
"tags": "pathophysiology, kidney",
"url": null
} |
$\displaystyle . \ \ \ \ \ X-\bigcup \limits_{n=0}^\infty \overline{F_n} \subset X-F$ $\blacksquare$
We now set up some notaions in preparation of proving Lemma 4 and Lemma 7. For any set $A \subset \mathbb{R}$, let $\text{int}(A)$ be the interior of the set $A$. Denote each positive integer $n$ by $n=\left\{0,1,\cdot... | {
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"openwebmath_score": 0.9998471736907959,
"tags": n... |
an answer, we substitute a rounded form of π, such as 3. TL;DR - Vincenty's inverse formula provides an accurate method for calcualting the distance between two latitude/longitude pairs. (This example does have a solution, but it is not straightforward. The chord is the line segment that runs through the circle from ea... | {
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"lm_q1_score": 0.9907319874400309,
"lm_q1q2_score": 0.8360738701999422,
"lm_q2_score": 0.8438951005915208,
"openwebmath_perplexity": 366.12298574545065,
"openwebmath_score": 0.8626194000244141,
"tags... |
algorithms, optimal-strategy
Then, school_7 receives children from neighborhood_2. Not all children from neighborhood_2 can be taken in at school_7.
Then, school_2 receives students from neighborhood_5. Now, assume that school_2 is full for middle school capacity.
Then, neighborhood_2 still has students to dispatch, a... | {
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"tags": "algorithms, optimal-strategy",
"url": null
} |
reinforcement-learning, deep-rl, proximal-policy-optimization
Title: What is the effect of parallel environments in reinforcement learning? Do parallel environments improve the agent's ability to learn or does it not really make a difference? Specifically, I am using PPO, but I think this applies across the board to o... | {
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"tags": "reinforcement-learning, deep-rl, proximal-policy-optimization",
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special-relativity
Which isn't correct, so what subtlety about the use of the Lorentz transform in this case have I missed? Quick answer
Your only screw up was in boosting the wrong way--- you boosted so as to "double" the velocity (by velocity addition), not to zero it out. If you flip the sign of v,
$$ \gamma^4(a\cd... | {
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"tags": "special-relativity",
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• The reference at oeis.org/A054347 might be of some (small) help. Sep 18 '17 at 15:25
• What have you tried? In other words, $S(N)$ is an integer sequence. What are the first few values? Did you try to look it up in the OEIS? Sep 18 '17 at 18:28
• I tried looking at OEIS, but no such luck! Sep 19 '17 at 3:18
• Again, ... | {
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"openwebmath_perplexity": 1685.9078279993373,
"openwebmath_score": 0.7801217436790466,
"tag... |
go, concurrency
Now I don't need to use the job done channel anymore, because the run routines that I spin up at the start will take care of everything for me. What may strike you as odd is that I'm closing and reopening the channel. That's because, should I limit the concurrent jobs to 2, but pass in 4 jobs, I need t... | {
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"tags": "go, concurrency",
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quantum-mechanics, homework-and-exercises, quantum-information, quantum-entanglement, density-operator
Title: How do I compute the partial trace of $\sqrt{p}|0\rangle_a|0\rangle_b+\sqrt{1-p}|1\rangle_a |1\rangle_b$? Here I have a two pure state system composed from systems A and B:
$$\Psi_{ab} = \sqrt{p}\, |0\rangle_a... | {
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"tags": "quantum-mechanics, homework-and-exercises, quantum-information, quantum-entangleme... |
r
data <- read.csv("test.csv")
day_segment <- "daily"
metrics <- c("countscans", "uniquedevices", "countscansmostuniquedevice")
features = data.frame()
for(metric in metrics){
feature <- compute_metric(data, metric, day_segment)
if(nrow(features) == 0){
features <- feature
} else{
features <- merge(fe... | {
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"tags": "r",
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} |
After Quiz 11, the Integral Test was presented (§10.3).
Nov 6
Topics included geometric, harmonic and telescoping series as well as the “going to zero” test (§11.2).
Nov 5
Extra Credit 8. (Due November 13.) Evaluate $$\displaystyle \sum_{n=1}^\infty\frac{1}{n(n+4)}$$.
Nov 3
Quiz 11 may include topics through §11.... | {
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"lm_q2_score": 0.8376199653600372,
"openwebmath_perplexity": 1969.1721405790427,
"openwebmath_score": 0.9989449381828308,
"tags"... |
performance, c, generics, fixed-point
(acc % 10) == 8 ? (char) '8' : (char) '9';
acc /= 10;
fracStringIndex--;
}
strncpy(writeTo, wholeString, n);
strncpy(writeTo + numWholeChars, fracString, n - numWholeChars);
}; A simpler solution
You can print the fractional part of your fixed point num... | {
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"tags": "performance, c, generics, fixed-point",
"url": null
} |
c#, wpf, mvvm, active-directory
To get DataGrid.SelectedItem you can bind it to property on your viewmodel. So you can remove IActiveDirectoryToolView.SelectedItemDistinguishedName as well. Same goes for ToggleEnabled() (bind to IsEnabled), Scope (bind to TreeView.SelectedItem), ToggleProgressBarVisibility() (bind to ... | {
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"tags": "c#, wpf, mvvm, active-directory",
"url": null
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finite-impulse-response, infinite-impulse-response, digital-filters, stability, inverse
Where:
$H(e^{j\omega}) = \displaystyle\sum_{n=0}^{N-1}h_ne^{-j\omega n}$: Frequency response of FIR filter
$\arg()$ : unwrapped phase of $H(\omega)$
Note: In an earlier version of this post, I had a simpler subset of the above that... | {
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"tags": "finite-impulse-response, infinite-impulse-response, digital-filters, stability, invers... |
classical-mechanics, inertial-frames, kinetic-theory, galilean-relativity
About momentum and energy
Consider the initial state of the ball. Its horizontal momentum and kinetic energy clearly depend on $w$:
$$p_b = mw$$
$$E_b = \frac{mw^2}2$$
This means we "see" some amounts of them in one frame of reference, some othe... | {
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"tags": "classical-mechanics, inertial-frames, kinetic-theory, galilean-relativity",
"url... |
organic-chemistry, vapor-pressure, smell
Title: Is menthol an especially volatile molecule? I have been studying a bit about odors and plant essential oils. Several sources claim that the fragrant terpenes found in these oils, such as menthol, eugenol, limonene, linalool, etc. are volatile compounds.
I understand that... | {
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"tags": "organic-chemistry, vapor-pressure, smell",
"url": null
} |
arduino
Title: Can a Sabertooth 2x25 Motor Controller be used with ROS?
I have a sabertooth 2x25 motor controller that I was planning on using for me "real world robot." Does it have to be connected through an arduino or Pi? If so does anyone have an example or a link to a tutorial?
Originally posted by cerebraldad ... | {
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} |
c++, game, tic-tac-toe
void Board::toggle_player() {
player_symbol = (player_symbol == 'X' ? 'O' : 'X');
}
bool Board::any_winner() {
for (int i = 0; i < 3; i++) {
if (i < 2 && abs(difference_diagonal[i]) == 3) {
return true;
}
if (abs(difference_row[i]) == 3 || abs(difference_col[i] == 3)) {
... | {
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"tags": "c++, game, tic-tac-toe",
"url": null
} |
diffusion
The model is for macroscopic particles immersed in a viscous fluid, but should work also for long molecules in a gas.
Solution, thin ellipsoid of axis $a$ (roughly equivalent to $2a$ rod) and (small) radius $b$:
$D = \frac{kT}{C_r} $
Where $C_r$ is the friction for the ellipsoid rotating in the fluid; for ou... | {
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"openwebmath_score": null,
"tags": "diffusion",
"url": null
} |
Taylor Series, Maclaurin series
From Rogawski ET 2e section 10.7, exercise 4.
Find the Maclaurin series for $f(x) = \dfrac{x^2}{1-8x^8}$.
$$\dfrac{x^2}{1-8x^8} = \sum_{n=0}^{\infty} [\textrm{_______________}]$$
Hi! I am working on some online Calc2 homework problem and I am not quite sure how to go about solving th... | {
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"lm_q2_score": 0.8397339736884712,
"openwebmath_perplexity": 281.5042059785873,
"openwebmath_score": 0.9123067855834961,
"tag... |
javascript, i18n
If a single character needs to be quantified, there's no need to put it into a character set - just put the quantifier to the right of the token, \w{2}.
Optional capture groups aren't very intuitive. I bet if you took a survey of whether a non-matching group returned undefined, null, or the empty stri... | {
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"tags": "javascript, i18n",
"url": null
} |
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