text stringlengths 1 1.11k | source dict |
|---|---|
c#
"built-in functions, and even other variables within\n" +
"your expression. You can redefined your variables as\n" +
"many times as you want. The mathematical constants\n" +
"'e' and 'pi' have already been defined for you." }, | {
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history, parallax
Source
After the Copernican theory gained popularity astronomers made many attempts to measure stellar parallax.
In astronomy, aberration (also referred to as astronomical aberration, stellar aberration, or velocity aberration) is a phenomenon which produces an apparent motion of celestial objects a... | {
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Complexity . d[v]=∞,v≠s In addition, we maintain a Boolean array u[] which stores for each vertex vwhether it's marked. In min heap, operations like extract-min and decrease-key value takes O(logV) time. b) 3 Indicate the runtime of Dijkstra's algorithm when the implementation is based on a binary heap. Ce graphe est-i... | {
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"tags": nu... |
newtonian-mechanics, energy, energy-conservation, potential-energy
In this sense special relativity introduced a new form of energy based on the Einstein's mass-energy equivalence. In hindsight, the energy of electromagnetic field studied earlier by Lorentz and Poincare was a particular case. Another manifestation is... | {
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"tags": "newtonian-mechanics, energy, energy-conservation, potential-energy",
"url": null... |
classical-mechanics
Title: Is normal reaction for an object at rest, the component of frictional force perpendicular to the surface of the object? I know that for an object at rest there's no frictional force acting on it and that frictional force arises because of another force trying to displace it (Static friction)... | {
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"tags": "classical-mechanics",
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homework-and-exercises, vectors, vector-fields
Could someone please help me understand the situation? Any help would be appreciated, thanks!
P.S. I understand that this has been asked earlier on Physics SE, but I didn't understand the answers. The one with most upvotes said:
Pretty sure the question is about $\frac{\h... | {
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quantum-mechanics, quantum-spin, rotation, spinors
Title: Rotation of a spin-1/2 system The Hamiltonian of a spin 1/2 system in a magnetic field $\mathbf{B} = B \hat{\mathbf{n}}$ is \begin{equation}\hat{H} = - \frac{e}{mc} \hat{\boldsymbol{\sigma}} \cdot \mathbf{B} \end{equation}
where $\hat{\mathbf{n}}$ is an arbitr... | {
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optics, electromagnetic-radiation, polarization, maxwell-equations
Here's how the whole domain looks like in the two simulations (the sizes of the cones are same).
Domain formed with 200×200×100 grids:
Pic 6 | {
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"tags": "optics, electromagnetic-radiation, polarization, maxwell-equations",
"url": null... |
algorithms, recursion, pseudocode
Title: Will this program terminate for every Integer? In a Part Test for GATE Preparation there was a question :
f(n):
if n is even: f(n) = n/2
else f(n) = f(f(n-1)) | {
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neural-network, gan
A similar paper uses a GAN to remove rain from photos, based on training many images with and without rain then learning the "rain vector", encoding new images with rain in them into the GAN's internal representation and subtracting this "rain vector".
GANs conditioned on input images (as opposed t... | {
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"tags": "neural-network, gan",
"url": null
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coordination-compounds
My teacher said, however, that since $\ce{Zn}$ in +2 state forms only outer orbital complexes, its complexes will be called high spin - and $\ce{Ti}$ in its +2 state similarly when it forms inner orbital complexes (which it does without pairing), will be called low spin because the complex is in... | {
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"tags": "coordination-compounds",
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} |
Jordan Canonical Form for characteristic polynomial $x^4+1$
I encountered the following problem on my algebra qualifying exam yesterday: If $T: \mathbb{R}^4 \to \mathbb{R}^4$ is a linear transformation which satisfies $T^4 = -I$, where $I$ is the identity map, find all possible Jordan canonical forms for $T$ over $\ma... | {
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"tags"... |
formal-languages, regular-languages
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 hint to get you started. To save typing, let $x=\#... | {
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"tags": "formal-languages, regular-languages",
"url": null
} |
php
And of course it wouldn't hurt if you didn't try to reinvent the wheel and started using an MVC framework. Or if that feels too much, a micro framework.
There's is an often quoted article by Rasmus Lerdorf that some people perceive as advocating against template engines and frameworks. It's not, the only point o... | {
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pathway, go-enrichment
Title: Does it make sense to perform pathway enrichment analysis on a list of mutated genes from a VCF? I have a list of mutated genes from a VCF. Does it make sense to perform a pathway enrichment analysis using PANTHER or STRING as examples to know which pathway is affected?
EDIT: to reply to ... | {
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"tags": "pathway, go-enrichment",
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computational-chemistry, basis-set
Title: Are Pulay forces expensive to compute? In a thesis I am reading, it is said that one of the reasons for using plane-wave basis sets for first-principles molecular dynamics (aka ab initio MD) is that the Pulay forces[1,2] that arise from an MD using atomic basis sets are comput... | {
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• You are right. You can construct many counterexamples by changing the angle between the two sides of length 9. – onetoinfinity May 19 '15 at 22:26
• You are aware that whoever created the question most likely intended the answer to be "square" and just wasn't meticulous enough to notice that with too few angles speci... | {
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material-science, rotation, asteroids
Title: Can a minimum ultimate tensile strength (UTS) for an asteroid be established based on its diameter and rotation? I found it fascinating that many asteroids rotate with a period of just seconds. For this fast of a rotation on this size of object, I thought that would actuall... | {
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java, beginner, object-oriented
winStreak = 0;
System.out.println("You lost $" + gamble + " with 92.105%!");
}
} else if (bet.equals("split")) {
randomNum = rand.nextInt(10000) + 1;
System.out.println("Betting $" + gamble + " on " + bet + ... | {
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"tags": "java, beginner, object-oriented",
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continuous-signals, signal-detection, bandpass
received1 = signal1 + noise1;
received2 = signal2 + noise2;
% create a notch filter to filter out this intreference.
w0 = f_intf/(Fs/2);
bw = w0/1; % 1 is the Q-factor here, you can play with it to see the effect
[num, den] = iirnotch(w0, bw);
filtered1 = filter(num, de... | {
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"url": null
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European Space Agency (ESA) to study extraterrestrial gamma radiation in the 25 MeV to 1 GeV energy range from a highly elliptical orbit of roughly 100,000 km apogee, 350 km perigee, and near-polar inclination. In this tutorial we shall discuss the derivative of the cosine squared function and its related examples. The... | {
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trees, boolean-algebra
The argument x is a set, and the predicates (the p's) assert that a certain condition is met on the set (typically, that x contains a certain value).
For every input, I have to evaluate all the formulas.
As an example, given a chair, f1 would say: the chair is red and the chair has a head rest, ... | {
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"tags": "trees, boolean-algebra",
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forces, fluid-dynamics
with equations (1) ,(2) and (3) we get
$$\Delta p=2\rho\vec{r}\cdot \left(\vec{v}_0\times \vec{\omega}\right)$$
where $\rho$ is the air density.
the force is then $F=\int \Delta p\,dA =\int 2\rho\,\vec{r}^T\,dA\,\left(\vec{v}_0\times \vec{\omega}\right)=(\vec{S})^T\,\left(\vec{v}_0\times \vec{\o... | {
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} |
c++, recursion, boost
The reason is that in the above case, calling recursive_sum(array) will deduce T to be a boost::multi_array<double, 2> instead of a double.
To solve this issue, I would do what std::reduce() does, and sidestep the issue by requiring an initial value for the sum. The type of this initial value wil... | {
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electricity, charge, potential
in electrostatics. Rather, a surface charge density is created that from the outside behaves as if it were such a point charge. We could compute exactly what this surface charge density looks like fairly straightforwardly from the so called matching conditions at the interface between th... | {
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evolution
Why do human facial and body shapes vary so much?
I understand that human beings live in many different environments (e.g. hot and cold) and have adapted to these (e.g. through lighter or darker skin color), but there seems to be much variation that has no apparent evolutionary purpose. So does the differenc... | {
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"tags": "evolution",
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Consider the wiki
https://en.wikipedia.org/wiki/Euler%27s_totient_function#Unsolved_problems
and look up "totient numbers". There are many nontotient numbers. The page as a whole is very informative.
• Thanks. Yeah I have actually looked up the page before, and I found that $n=5,8,10,12$ satisfy $\varphi(n)=4$, and ... | {
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java, heap
It is conventional to surround binary operators with whitespaces. There should also a whitespace between an if, for or while keyword and an opening parenthesis. Here is a small piece of your code rewritten according to the style conventions:
while (pos != 0 && array[pos].compareTo(array[pos / 2]) < 0) {
... | {
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c++, performance, algorithm, pathfinding, c++20
std::size_t getNumberOfNodes() const {
return nodes_.size();
}
std::size_t getNumberOfArcs() const {
return number_of_arcs_;
}
};
template<typename Node = int>
std::string buildNonExistingArcErrorMessage(
... | {
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What makes the the $$n^2$$ and $$(n+1)^2$$ case less amenable to this kind of analysis?
• The issue is the following: Given two sequences $a_n< b_n$ ,to apply the PNT to show that there is a prime between $a_n$ and $b_n$ for $n$ large enough you need $$\liminf_n \frac{b_n}{ \ln(b_n)} /\frac{a_n}{ \ln(a_n)} > 1$$ This ... | {
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"openwebmath_perplexity": 297.40575016588394,
"openwebmath_score": 0.9999182224273682,
"ta... |
visible-light, electromagnetic-radiation, refraction
the transmittance curve (further down on the same page), you can see that wavelengths longer than 1.8 µm are absorbed by water vapor. Therefore this is the realistic long wavlength end for rainbows. I assume similar arguments could be found for the short wavelength ... | {
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"tags": "visible-light, electromagnetic-radiation, refraction",
"url": null
} |
organic-chemistry, carbonyl-compounds
Title: Does acetic acid give a positive result with the iodoform test? Acetic acid contains a $\ce{-COMe}$ group, so theoretically, it should give a positive result in the iodoform test (i.e. a yellow precipitate of $\ce{CHI3}$ being formed).
But apparently the iodoform test is us... | {
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"tags": "organic-chemistry, carbonyl-compounds",
"url": null
} |
java, game, ai, libgdx
Title: Teaching an Old AI New Magic Tricks Recently I wanted to teach the AI of my castle game how to use the spells that I have added to the game. You can try out the game here: Castleparts
Initially I thought that I would have to add subclasses for each of the four playable races in order to ... | {
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c#, strings, converting
//first convert value passedValue to inches
switch (typeConvertingFrom)
{
case DimensionType.ThirtySecond:
internalDecimalMillimeters = (passedValue / 32) * 0.0393701;
break;
case DimensionType.Sixte... | {
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"tags": "c#, strings, converting",
"url": null
} |
homework, pathology, lungs
Title: Which diagram correctly describe an effect of tar entering lungs? Which flow diagram correctly describes the effect of tar entering lungs?
Tar is a cause of Chronic obstructive pulmonary disease (COPD) which includes both chronic bronchitis and emphysema and it is also a carcinogen, ... | {
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"tags": "homework, pathology, lungs",
"url": null
} |
quantum-mechanics, homework-and-exercises, wavefunction, schroedinger-equation, harmonic-oscillator
Title: Time-dependent Schrödinger equation of the harmonic oscillator hello I have the time dependent Schrödinger equation of a harmonic oscillator $$i \hbar \frac{\partial}{\partial t} \Psi(q,t) = - \frac{\hbar^2}{2M} ... | {
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"tags": "quantum-mechanics, homework-and-exercises, wavefunction, schroedinger-equation, ha... |
c++, performance, numerical-methods, rcpp
Choose the right integration algorithm
I am assuming that you don't just want to integrate the Guassian distribution function from effectively \$-\infty\$ to \$+\infty\$, as the result will by definition be 1. Assuming you want to integrate other functions, first check if you ... | {
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# Finding the area under the curve from a graph
What is the area of the shared region in the figure above that is bounded by the $$x$$-axis and the curve with the equation $$y=x\sqrt{1-x^2}$$?
This is the problem I was given. I assumed the answer was $$0$$ - the positive and negative areas should cancel each other ou... | {
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"ta... |
I would appreciate some help in the analysis of this problem.
• Hint: it's a linear recurrence, and the characteristic polynomial has three easy roots.
– dxiv
Jul 3 at 2:11
Once the convergence has been proved, one thing to try is to pass the recurrence relation to the limit, in hope that it can then be solved for th... | {
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"openwebmath_score": 0.9998005032539368,
"tag... |
pathology, epidemiology, infection, prion
Are there any answers to the questions? Or is there any answers? I think that you could argue that some prion diseases do form epidemics or outbreaks. In some cases it does appear that people have referred to BSE/vCJD as pandemics. There is even some journalism on the topic, a... | {
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"tags": "pathology, epidemiology, infection, prion",
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quantum-field-theory, resource-recommendations, feynman-diagrams, twistor
Spinor indices are raised and lowered using the antisymmetric spinor
$$\epsilon_{AB}=\epsilon_{A’B’}=\epsilon^{AB}= \epsilon^{A’B’} = \left(\begin{array}{cc} 0 & 1 \\ -1 & 0 \end{array} \right)$$
Minkowski-space vectors $x^a$ can be put into cor... | {
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"tags": "quantum-field-theory, resource-recommendations, feynman-diagrams, twistor",
"url... |
quantum-mechanics, quantum-computer, determinism, bells-inequality
One could imagine this working since in order for quantum computer to work, you must set up the quantum algorithm so that the most likely outcome (according to quantum mechanics) is that the computer ends the algorithm in a state corresponding to the c... | {
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"tags": "quantum-mechanics, quantum-computer, determinism, bells-inequality",
"url": null... |
filter-design, finite-impulse-response, infinite-impulse-response, butterworth, chebyshev-filters
Title: Mapping of Classic Filters for Digital Filter Design Of the four classic analog filter types: Butterworth, Chebyshev, Elliptic and Bessel- are any of these relegated to obsolescence for purposes of digital filter d... | {
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"tags": "filter-design, finite-impulse-response, infinite-impulse-response, butterworth, chebys... |
ds.data-structures, binary-trees
Since I conducted research in area of fast concatenation of search trees:
Haim Kaplan and Robert E. Tarjan. 1996. Purely functional representations of catenable sorted lists. In Proceedings of the twenty-eighth annual ACM symposium on Theory of computing (STOC '96). ACM, New York, NY,... | {
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"tags": "ds.data-structures, binary-trees",
"url": null
} |
beginner, design-patterns, objective-c
You have inconsistent brace styles.
Your IBAction methods have same-line braces. This is the preferred style of Xcode. This is how Xcode would have generated these methods automatically when you hooked them up.
Your other methods (and other constructs which require braces) have... | {
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"tags": "beginner, design-patterns, objective-c",
"url": null
} |
c#, asp.net-mvc, asp.net-mvc-5, razor
Finally, your scripts.
It is better practice to use Unobtrusive Javascript rather than polluting your htlm markup with behavior, so rather that using an onchange attribute, use $('#CompanyId').change(function() { ...
You should also cache elements that you repeatedly refer to by a... | {
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"tags": "c#, asp.net-mvc, asp.net-mvc-5, razor",
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exoplanet, star-systems, metallicity, elemental-abundances
The evidence on this is lacking, though. Giant planets probably are much rarer around metal-poor stars (e.g., Boley et al. 2021), but whether that is also true of the smaller bodies where you might want to mine your r-process elements is not well understood (e... | {
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ros
Title: household_objects_database remote access issue
I am trying to access household_objects_database remotely following the tutorial here
I launched the remote connection script
roslaunch household_objects_database objects_database_remote_client.launch
However when I try to run the following command
rosservice... | {
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c++, parsing
namespace fast {
template <typename Fn>
class IsSomething
{
std::array<char, std::numeric_limits<char>::max() + 1> cache = {};
public:
explicit IsSomething(Fn fn, const std::locale& locale = {})
{
set_locale(fn, locale);
}
void set_loca... | {
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python, python-3.x
def list_player_statues(player_currency, player_statues):
i = 0
lengths = [len(player) for player in player_currency]
for player in player_currency:
i += 1
currency = player_currency[player]
state = players_statues[player]
#formating
proportional... | {
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"url": null
} |
c#, design-patterns, .net, repository
this.connection.Close();
this.connection.Dispose();
this.connection = null;
}
}
#endregion
}
} #region
#region CreateTenant
Get rid of those. The region encompasses only a single method anyway, and your IDE should a... | {
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"tags": "c#, design-patterns, .net, repository",
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cnn, image-classification, notation
First, the term $\operatorname{argmax}_k p^i (y=k|\mathbf{x})$ tells you which label has the higher probability from model $i$ given the input object $\mathbf{x}$.
Then, this "iterates" over all models in the Committee, computing for each the label that is most likely.
Finally fin... | {
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roscpp
Originally posted by ROSfc on ROS Answers with karma: 54 on 2016-08-24
Post score: 0
Original comments
Comment by ahendrix on 2016-08-24:
You probably need to set a timeout on your socket so that it exits from recvfrom when no data is received, and eventually has the opportunity to exit the main loop.
Comment ... | {
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electricity, electric-circuits
If a fault happens in an appliance such that the active touches the conductive housing of an appliance (say of a toaster), we have a dangerous situation, since anyone touching the appliance can then get an electric shock. However, if the housing is connected to the protective earth circu... | {
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control, ros, kuka, orocos, ros-control
Title: KUKA LBR iiwa real-time control
Hi,
I want to setup the new KUKA LBR iiwa arm for (soft) real-time control (at around 100 Hz for now) in Gazebo and on the actual robot. I was thinking of using ros_control and I'm interested in weather somebody already has a similar setup... | {
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"tags": "control, ros, kuka, orocos, ros-control",
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electromagnetism, electric-current, electrical-resistance, conventions, conductors
Title: A confusion about the direction of the current density I'm contradicting my premise again and again and I have no idea what I'm doing wrong. Say there is a given current density in a charged infinite cylinder, $J$ in the $\hat{z}... | {
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"tags": "electromagnetism, electric-current, electrical-resistance, conventions, conductors... |
discrete-signals, statistics, adaptive-filters, adaptive-algorithms
$$\tau_i=\frac{1}{2 \mu \lambda_i}>\frac{\lambda_{\text{max}}}{2 \lambda_i}$$
The ratio of largest to smallest eigenvalue $\frac{\lambda_{\text{max}}}{\lambda_{\text{min}}}$ increases as the samples of $u[n]$ become more correlated and the LMS filter... | {
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"tags": "discrete-signals, statistics, adaptive-filters, adaptive-algorithms",
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orbit, jupiter, mars
Here are some back-of-the-envelope calculations.
The maximum apparent magnitude of Jupiter is -2.94, which is observed when it's closest to Earth (4.2 AU). Mars can get as close to Jupiter as 3.68 AU. Since the flux is inversely proportional to distance squared, Jupiter will be 30% brighter on Mar... | {
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operating-systems, filesystems, fault-tolerance
In general renaming a file may involve rewriting several blocks. The filesystem must take care in which order these blocks are written. For efficiency, it is often useful to reorder writes. This is often a consequence of caching and buffering: blocks are not actually wri... | {
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ros2
PLUGINLIB_EXPORT_CLASS(cc_nav2_ext::RPCController, nav2_core::Controller)
Originally posted by SmallJoeMan with karma: 116 on 2020-07-10
This answer was ACCEPTED on the original site
Post score: 0
Original comments
Comment by Mohit Arvind Khakharia on 2020-12-15:
Can you please pose a sample if you have made so... | {
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• Would the theorem be if f is continuous then the inverse image under f of any open set is open? I am only confused on what is meant by R*? – MDW Nov 24 '13 at 20:58
• Yes this is the needed theorem and $\mathbb R^*$ is $\mathbb R\setminus \{0\}$. – user63181 Nov 24 '13 at 21:00
• @Sami: Why can't we just show $\Bbb{R... | {
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inorganic-chemistry, molecular-orbital-theory, ionic-compounds, rare-earth-elements
Lanthanides share many similar characteristics. These characteristics include the following:
...
Adoption of coordination numbers greater than 6 (usually 8-9) in compounds
...
A preference for more electronegative elements (such as O o... | {
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c#, performance, algorithm
try
{
RegistryKey sk1 = rk.OpenSubKey(SubKey, true);
sk1.DeleteValue(value);
return true;
}
catch (Exception ex)
{
MessageBox.Show(ex.Message);
return false;
... | {
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"tags": "c#, performance, algorithm",
"url": null
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homework-and-exercises, fluid-dynamics, experimental-physics, viscosity
According to Stokes Law, the friction of a moving sphere in a fluid with viscosity n is:
$F_r = 6 \pi r n v$ where v is the constant velocity.
Using these equations, I can determine the viscosity:
$n = \frac{g}{6 \pi r} (m - \rho \frac{4}{3} \pi... | {
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"url":... |
botany, plant-physiology, fruit
Title: How does coconut water solidify into hardened coconut meat? At first, the coconut is filled with liquid endosperm. Later when it ripens, the outer layers form brown fibrous covering, and the inner solid layer turns brown and hardens. Within that, a white layer forms (which is sof... | {
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"tags": "botany, plant-physiology, fruit",
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c#, comparative-review
if (deserializedEvent is IOtherSpecificEvent)
Consume((IOtherSpecificEvent) deserializedEvent);
}
Option 2
// dispatches events by attempting a cast to a specific type.
// Requires null check in the Consume methods
public void DispatchEvents(TypeThatContainsJsonEventData e)
{
va... | {
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minimum-spanning-tree
Title: adding an edge, Is T still a MST to the new graph? Suppose I have a minimum spanning tree $T$ in a graph $G=(V,E)$ with positive edge weights $w$. Provide an algorithm that after adding a new edge $e$ with a unique weight $w(e)$ to $G$, returns true if $T$ will still be an MST. Let $n=|V|$... | {
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In Python, we can make a class to represent a fatigue curve and give it methods for interpolation and plotting. Moreover, we can define a __call__ method to make the instance callable. For example:
#!/usr/bin/env python
"""
Provides classes for semi-log and log-log fatigue curves having methods for
interpolation and p... | {
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"openwebmath_perplexity": 12793.142352363793,
"openwebmath_score": 0.3696729242801666,
"tags... |
evolution
Title: Examples of Vestigial Genes I consider the existence of a broken GULO gene in humans to be the clearest evidence for human evolution - just what else is it doing there otherwise?
Are there any other examples of vestigial genes in the Human genome? Or perhaps vestigial proteins? Genes that were once fu... | {
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"tags": "evolution",
"url": null
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algorithms, dynamic-programming
It takes $O(n)$ to compute the sought answer from $\ell[m][h]$'s.
The total time-complexity is $O(n) + O(mn\,n) + O(n) = O(mn^2)$.
The space-complexity is $O(mn)$. | {
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"tags": "algorithms, dynamic-programming",
"url": null
} |
beginner, vba, random, excel
Refactoring/Generalising:
Your sub is very specific (0-9, sum of 100, integers). Why not make it a function that accepts these things as parameters? Then, whenever you need any kind of random list, you can just call your function with whatever parameters
you need without writing a new one... | {
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organic-chemistry, reaction-mechanism, aromatic-compounds, organic-reduction
Source: Wikipedia Commons
Also, I was thinking, since the methoxy group donates electron density mesomerically to the ortho and para positions, wouldn't it be unfavourable for the carbanion to form that the ortho positions? This seems to hap... | {
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... |
python, formatting
Without 'keep_values', new values replace old ones:
>>> fmt = TextFormatter(a='a')
>>> fmt.update(False, a='b')
>>> fmt.kwargs == dict(a=['b'])
True
"""
self._prepare_dict(kwargs)
for key, new_val in kwargs.items():
... | {
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"url": null
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c++, sqlite, wrapper
EXIT_ON_ERROR(bind_where(stmt, bindings));
int num_cols = sqlite3_column_count(stmt);
std::vector<std::string> column_names;
for (int i = 0; i < num_cols; i++) {
const char* colname = sqlite3_column_name(stmt, i);
column_names.push_back(colname ? c... | {
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"tags": "c++, sqlite, wrapper",
"url": null
} |
The reason why you're having problems is because you wrote the problem wrong.
The derivative is not $$\lim_{h \to 0} \frac{f(x+h)^2-f(x)^2}{h}$$
but actually $$\lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$$
You're confusing $f(x) = x^2$ with $f(x)^2$. These are not the same thing.
$f(x) = x^2$ means that for any argument $... | {
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"tag... |
general-relativity, gravity, neutrinos, faster-than-light
Title: Neutrino unaffected by gravity Are neutrinos affected by gravity?
If not, could that be a plausible reason for a neutrino taking a shorter path than light, since light is affected by gravity? Everything is affected by gravity. Gravity warps of space-time... | {
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"tags": "general-relativity, gravity, neutrinos, faster-than-light",
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The simple harmonic oscillator is governed by Hooke's Law, $F=-kx$. Since Newton's laws tell us that $F=ma=m\ddot x$ (where $\ddot x$ is the second derivative of $x$ with respect to time), we have a second-order differential equation $$\ddot x = -\frac kmx.$$ We want to find the position as a function of time, $x(t)$, ... | {
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"lm_q1_score": 0.9879462211935647,
"lm_q1q2_score": 0.8189469632818392,
"lm_q2_score": 0.8289388083214156,
"openwebmath_perplexity": 366.5153606064345,
"openwebmath_score": 0.9972091913223267,
"tag... |
electromagnetism, lagrangian-formalism, gauge-theory, hamiltonian-formalism, constrained-dynamics
Title: Dirac-Bergmann Algorithm Not Terminating in (1+1)-Dimensional $U(1)$ Charged Scalar QED I am trying to compute the full set of second class constraints that specify (1+1)-dimensional $U(1)$ scalar QED after complet... | {
"domain": "physics.stackexchange",
"id": 79309,
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"openwebmath_score": null,
"tags": "electromagnetism, lagrangian-formalism, gauge-theory, hamiltonian-formalism, const... |
javascript, jquery
/* Remove item from cart */
function removeItem(removeButton) {
/* Remove row from DOM and recalc cart total */
var productRow = $(removeButton).parent().parent();
productRow.slideUp(fadeTime, function() {
productRow.remove();
recalculateCart();
... | {
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"id": 4480,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "javascript, jquery",
"url": null
} |
special-relativity, representation-theory, lorentz-symmetry, group-representations
Title: Notation for the Representations of $SO(3,1)$ I was reading Zee's book "Quantum field theory in a nutshell" and came to the chapter regarding representations and algebra.
He writes that the representations of $SO(3,1)$ are $(0,0... | {
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"openwebmath_score": null,
"tags": "special-relativity, representation-theory, lorentz-symmetry, group-representations... |
quantum-mechanics, operators, eigenvalue
I fully understand the proof that $$\langle\hat{Q}\rangle=\sum\limits_n|a_n|^2q_n$$
So now I need to proof that $$\Big\langle{\hat{Q}}^2\Big\rangle=\sum\limits_n|a_n|^2{q_n}^2$$ | {
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"id": 35835,
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"tags": "quantum-mechanics, operators, eigenvalue",
"url": null
} |
fluid-dynamics
Things get a bit more complicated for a impeller type pump. Pump speed and flow rate will be mostly linearly proportional of some region of operation, but there are other effects. Things start getting non-linear fast when cavitation happens, for example. | {
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "fluid-dynamics",
"url": null
} |
general-relativity, cosmology, spacetime, space-expansion, big-bang
Title: Could the spatially flat universe start small? The global space has been measured flat within a small margin of error. According to FLRW, the flat universe has always been infinite. At the time of the Big Bang the universe was infinitely large ... | {
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"tags": "general-relativity, cosmology, spacetime, space-expansion, big-bang",
"url": nul... |
c++, beginner, c++11, mergesort
Avoid unnecessary copies
I liked this comment in your code. | {
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"url": null
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$$A'B'C'+A'B'C+A'BC'+AB'C'+AB'C= \text{ (Adjacency) }$$
$$A'B'+A'BC'+AB'= \text{ (Adjacency) }$$
$$B'+A'BC'\text{ (Reduction) }$$
$$B'+A'C'$$
If you didn't know these two equivalences yet ... put them in your toolbox immediately!
And here is one more:
Absorption
$P+PQ=P$
$P(P+Q)=P$
• What will A'+B'+C'+A'BC' g... | {
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"openwebmath_score": 0.8491536974906921,
"tag... |
quantum-mechanics, general-relativity, string-theory, higgs, large-hadron-collider
http://motls.blogspot.cz/2012/06/higgs-boson-scalar-fields-and-victory.html
I think that none of the points you asked answers the question in the title, "what's next". We don't know what will be the next discovery. Physics researcher i... | {
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"tags": "quantum-mechanics, general-relativity, string-theory, higgs, large-hadron-collider"... |
c++
Readability isn’t just “for others”, it’s for you, as well.
That said, if a goto makes code more easily readable, go for it. It’s just that these situations are exceedingly rare in C++. And your code isn’t one of them. In fact, your goto solution, where the label is nested in an if (false), is primarily cryptic.
A... | {
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"tags": "c++",
"url": null
} |
homework-and-exercises, newtonian-mechanics, newtonian-gravity, kinematics, free-fall
Will the balls land at the same time?
Will the balls have the same speed when they land?
My thinking:
Since air resistance is ignored, I know that the horizontal component will be constant throughout. However, I wasn't really sure ho... | {
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"tags": "homework-and-exercises, newtonian-mechanics, newtonian-gravity, kinematics, free-f... |
Hi,This teaser is from a quant interview prepare book. The original question states as below:Two players, A and B, alternatively toss a fair coin (A tosses the coin first, then B tosses the coin, then A, then B...) If there is a head followed by a tail, the game ends and the person who tosses the tail wins. What's the ... | {
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"openwebmath_score": 0.9069061875343323,
"tags"... |
This question provides a nice opportunity to collect some facts on moment-generating functions (mgf).
In the answer below, we do the following:
1. Show that if the mgf is finite for at least one (strictly) positive value and one negative value, then all positive moments of $X$ are finite (including nonintegral moment... | {
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"openwebmath_score": 0.9307129383087158,
"tag... |
classical-mechanics, differential-geometry, coordinate-systems, topology, constrained-dynamics
Nevertheless nothing is said about the regularity of this transformation.
Does this transformation need to be a diffeomorphism, just a differentiable homeomorphism or what do we need to ask for? The configuration space of $... | {
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"tags": "classical-mechanics, differential-geometry, coordinate-systems, topology, constrai... |
java, beginner, strings
You'll get the identical answer from Math.floor
for (int i = 0; i < Math.floor(chars.length / 2.0); i++) {
char currentChar = Character.toLowerCase(chars[i]);
char oppositeChar = Character.toLowerCase(chars[chars.length - 1 - i]);
For one thing, you would get the integer result... | {
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"tags": "java, beginner, strings",
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} |
c#, error-handling, asynchronous
/// <summary>
/// Try, catch, then retry (n) times until max tries reached, an unexpected exception is thrown,
/// or try block executes without an exception.
/// </summary>
/// <param name="tryFunc">Try code block to execute.</param>
/// <param name="exCatch"><see... | {
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"openwebmath_score": null,
"tags": "c#, error-handling, asynchronous",
"url": null
} |
ubuntu-natty, ubuntu
Title: About ROS on Ubuntu11.04
I try to build Ros on ubuntu11.04.But cant add dependencies.What to do??
Originally posted by Sohil on ROS Answers with karma: 1 on 2011-05-21
Post score: -4
Original comments
Comment by mjcarroll on 2011-05-21:
Vote to close, duplicate of: http://answers.ros.org... | {
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"tags": "ubuntu-natty, ubuntu",
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} |
matlab, filter-design
Title: How to initialize an IIR filter in Matlab I designed an IIR filter and want to do zero, step and projection initialization. There is mention in different reference papers but no explicit examples for Matlab. How do you do IIR initialization, for the previously mentioned types, in Matlab?... | {
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"tags": "matlab, filter-design",
"url": null
} |
c#, winforms
It works perfectly, it isn't particularly hard to read or maintain, but having a method 130 lines long and constantly growing just feels wrong.
Also I may want to implement shortcut customization in the future, and there is no easy way to find out what keys are mapped to which method so it will have to b... | {
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"tags": "c#, winforms",
"url": null
} |
c++, object-oriented, playing-cards
That aforementioned card is pushed onto the player's hand card vector.
players[playerNum].getPlayerHand()[0].getHandCards().push_back(newCard);
Again, I'm using a Hand object so that I can easily destroy a player's cards at the end of each turn. In the game, different players can ... | {
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"tags": "c++, object-oriented, playing-cards",
"url": null
} |
lewis-structure
The upshot of all this is that, while it's true that you can draw certain valid resonance contributors, they may not accurately reflect the structure and electron density of the actual molecule. The structure with the negative formal charge on the bromine is best, which agrees with your intuition regar... | {
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"tags": "lewis-structure",
"url": null
} |
probability-theory, cryptography, xor
Title: Is the bitwise-xor of a Uniform bit string and a non_uniform bit string Uniform? Having two bit strings $x,y \in \left\{0,1\right\}^n$, where $x$ is selected following a uniform distribution but $y$ is not.
Is $z = x \oplus y$ uniform? Yes, if $x$ and $y$ are chosen indepen... | {
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"tags": "probability-theory, cryptography, xor",
"url": null
} |
c#, sql, sql-server, ado.net
now the foreach will be
foreach (Earning earning in earningsList)
{
FillInsertEarningsParameterValues(earning,sqlCommand.Parameters);
sqlCommand.ExecuteNonQuery();
}
The result of the refactoring of your large method would be
public bool InsertEarnings(List<Earning> earningsList,... | {
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"tags": "c#, sql, sql-server, ado.net",
"url": null
} |
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