text stringlengths 49 10.4k | source dict |
|---|---|
string-theory, boundary-conditions, topology, greens-functions
&= -\frac{\alpha'}{2} \log \frac{(1+\bar{z}_1z_2) (1+z_1\bar{z}_2) (\bar{z}_1-\bar{z}_2)(z_1-z_2)}{\bar{z}_1 z_1 \bar{z}_2 z_2}\nonumber\\
&= -\frac{\alpha'}{2} \log \left( \frac{1}{\bar{z_1}z_2} +1\right) \left( \frac{1}{z_1\bar{z}_2} +1\right) (\bar{z}_... | {
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"tags": "string-theory, boundary-conditions, topology, greens-functions",
"url": null
} |
python, python-3.x
if total_turns % 2 == 0:
total_turns += 1
return player_one
return player_two
# Allows new game to start
def play_again():
positive = ["yes", "y"]
negative = ["no", "n"]
global ship_points
while True:
answer = input("Play again? [Y(es) / N(o)]: ").lo... | {
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"tags": "python, python-3.x",
"url": null
} |
Let $1$ be the multiplicative identity of the finite field $\mathbb F$ where $|\mathbb F| = q$. Now, consider the following list of field elements: $$1\\ 1+1\\ 1+1+1\\ 1+1+1+1\\ \cdots\\ \underbrace{1 + 1 + \cdots + 1}_{q+1 ~\text{ones}}$$ (I refuse to call these elements $1, 2, 3, 4$ etc.) Since the field has $q$ elem... | {
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"tags... |
5 Answers
$P(x) = x^{101}$ is a bijective polynomial of degree $101$. $Q(x) = x^{101}-x^2$ is of degree $101$, too, but it's not injective. So unless there's more to the question, an arbitrary 101st degree polynomial can be bijective, but not all of them are.
• Yes, the statement in the question is false. As was said... | {
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c#, event-handling, delegates
public void RemoveListener<T>(ApplicationEventHandlerDelegate<T> handler) where T : IApplicationEvent
{
if (_applicationEventHandlers.ContainsKey(typeof(T)))
{
var handlerToRemove = Delegate.Remove(_applicationEventHandlers[typeof(T)], handler);
... | {
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"tags": "c#, event-handling, delegates",
"url": null
} |
ros-kinetic
I followed the tutorial on http://wiki.ros.org/ROS/Tutorials/Mul.... I tried setting up 3 computer running ROS
then please show what you configured on which host.
Comment by Vic on 2021-06-03:
Network between RobotComputer and MasterComputer : ethernet LAN (just an ethernet cable between the 2 computers).... | {
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# right leg of the forbidden one lob 120
Warning: Use of undefined constant user_level - assumed 'user_level' (this will throw an Error in a future version of PHP) in /nfs/c05/h02/mnt/73348/domains/nickialanoche.com/html/wp-content/plugins/ultimate-google-analytics/ultimate_ga.php on line 524 | {
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"lm_q2_score": 0.8438951005915208,
"openwebmath_perplexity": 903.6628141484289,
"openwebmath_score": 0.5176438689231873,
... |
plant-physiology, movement
Title: Difference between Trophic and Tactic movements What is the difference between Trophic (eg. Chemotrophic) and Tactic (eg. Chemotactic) movements?
In Bryophytes, Anthrezoids are attracted towards Archegonia. This is Chemotactic movement. In Spermatophytes, Pollen tube moves towards Ovu... | {
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"tags": "plant-physiology, movement",
"url": null
} |
recall the period for physical pendulums:
$\tau=2\pi\frac{\sqrt{I}}{\sqrt{mgl}}$ I is inertial and l is distance to center of mass
invert and times by $2\pi$ for angular frequency.
for I $I=2ml^2$ and $l=l$
for II $I=ml^2+m\left(\frac{l}{2}\right)^2$ and $l=\frac{l+\frac{l}{2}}{2}$
plug in and divide to get $\sqrt... | {
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"openwebmath_score": 0.8570225834846497,
"tags":... |
c#, performance, strings, comparative-review
Title: Truncate String Method I have 2 Truncate string methods.
First:
public static string Truncate(string source, int length)
{
if (source.Length > length)
{
source = source.Substring(0, length);
}
return source;
}
Second:
public static st... | {
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"tags": "c#, performance, strings, comparative-review",
"url": null
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ros, ros-melodic, ros-control, diff-drive-controller, hardware-interface
while (true)
{
time_now = robot.get_time();
period_now = robot.get_period();
robot.read(period_now);
cm.update(time_now, period_now);
robot.write();
sleep_rate.sleep();
}
}
There is one th... | {
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"tags": "ros, ros-melodic, ros-control, diff-drive-controller, hardware-interface",
"url... |
Rule, By the Alternating Series Test, the series converges. The interval of convergence the Maclaurin series for. Sometimes you might see it as LAST for short. A loop of wire is spun inside of a magnetic field, which induces a current along the wire. You must explain your answers to get credit. There is no whole number... | {
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"lm_q1_score": 0.9830850877244272,
"lm_q1q2_score": 0.8234516931407722,
"lm_q2_score": 0.837619961306541,
"openwebmath_perplexity": 1062.0543476437563,
"openwebmath_score": 0.7435677647590637,
"tag... |
The centers of the circles are $P$ and $Q.$
Their common tangent is $AB.$
$PA = 5,\;QB = 8$
Through $P$, draw $PC \parallel AB.$
Then: . $CB = 5,\;QC = 3$
In right triangle $QCP\!:\;\;PC^2 + QC^2 \:=\:PQ^2 \quad\Rightarrow\quad PC^2 + 3^2\:=\:13^2$
Hence: . $PC^2 \:=\:169 - 9 \:=\:160 \quad\Rightarrow\quad PC \:=\:4... | {
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"openwebmath_perplexity": 716.9361033066408,
"openwebmath_score": 0.6746938228607178,
"... |
actionlib
Title: Where is documentation for Actionlib Client?
The tutorial page for Actionlib Client has two references to further documentation, both of which have a broken link.
"Documentation of all the constructor
options and available functions can be
found in the ROSLIB.ActionClient
docs."
"The ROSLIB.Goal doc... | {
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"tags": "actionlib",
"url": null
} |
gravity, reference-frames, acceleration, equivalence-principle, tidal-effect
Title: How does acceleration feel compared to gravitational pull? I was debating a variation of this Phys.SE question with a friend. The original question is:
"If you had your eyes closed, could you distinguish between standing still on eart... | {
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"tags": "gravity, reference-frames, acceleration, equivalence-principle, tidal-effect",
"... |
c#, game, unity3d
[SerializeField]
private Sprite _east;
[SerializeField]
private Sprite _north;
[SerializeField]
private Sprite _west;
[SerializeField]
private Sprite _south;
public enum Direction
{
RIGHT = 0,
UP = 1,
... | {
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"tags": "c#, game, unity3d",
"url": null
} |
navigation, amcl
core service [/rosout] found
process[rviz-1]: started with pid [3607]
ERROR: cannot launch node of type [tf/static_transform_publisher]: can't locate node [static_transform_publisher] in package [tf]
[ INFO] [1380159895.148350411]: rviz revision number 1.8.17
[ INFO] [1380159895.148487370]: compiled a... | {
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"tags": "navigation, amcl",
"url": null
} |
Now fix any point $$c\in\mathbb{R}$$. Next select any point $$b>c$$. Thus, by $$(*)$$, there exists a point $$x_1\in (b,c)$$ such that $$h(x_1)=0$$. Again, by $$(*)$$, there exists a point $$x_2\in (x_1,c)$$ such that $$h(x_2)=0$$. Continuing this procedure we would end up with a sequence $$(x_n)_{n\ge 1}$$ such that $... | {
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"openwebmath_score": 0.9997335076332092,
"ta... |
Using my current system of equations, my values for the currents are
$I_{1} = \frac{935}{626} A , I_{2} = \frac{205}{313} A, I_{3} = \frac{525}{626} A$
Is that correct?
2. Oct 16, 2016
### andrewkirk
It looks correct to me.
The metaphor I use is about swimming up or downstream. Imagine that the stream is flowing ... | {
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"openwebmath_perplexity": 572.8155816611852,
"openwebmath_score": 0.6350571513175964,
"tag... |
wavelet, time-frequency, visualization, cwt, scattering
The sine shifts, and CWT shifts by same amount (this is "translation equivariance", sometimes referred to as invariance; it's invariant in the sense of features (e.g. shape, energy) not changing).
Second row shows scattering with different $T$, the scales of inva... | {
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"tags": "wavelet, time-frequency, visualization, cwt, scattering",
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general-relativity, differential-geometry, differentiation, curvature
\end{align}
Now we project the free indices onto $\Sigma(t)$,
\begin{align}
R_{abst}h^a_m n^b h^s_n n^t
&=-n^b h^a_m h^s_n \nabla_a K_{bs}+D_m a_n+n^b h^a_m h^s_n \nabla_b K_{as}+a_m a_n
\end{align}
Here we have used the fact that $n_a a^a=0... | {
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"tags": "general-relativity, differential-geometry, differentiation, curvature",
"url": n... |
quantum-mechanics, quantum-spin
\langle A|d \rangle \langle d|A \rangle &= P_d
\end{align*}$$
where $P_u$ and $P_d$ are the probabilities for measurements of up and down states and $|A\rangle$ is a generic state. So in the same way, $\langle o|u\rangle \langle u|o\rangle$ is the probability that the spin is up given t... | {
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"tags": "quantum-mechanics, quantum-spin",
"url": null
} |
fasta, format-conversion, genbank, egf
Title: Convert sequence in MS doc to fasta or genbank How can I convert a sequence provided in a Microsoft doc file into a fasta or genbank format? The CrazyDoc Python package can convert Genbank/Fasta/Snapgene/MSDoc sequences into Biopython records, which can be saved as Genbank... | {
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"tags": "fasta, format-conversion, genbank, egf",
"url": null
} |
java, validation, io, integer
Title: Validation of integer inputs from a BufferedReader At my school, we are using the BufferedReader for keyboard input for our console apps and I don't want to have to write ways to validate input for every project so I am writing a class to validate user input. I have only written th... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, validation, io, integer",
"url": null
} |
universe
The nearest we get to an edge is the closed universe, though I must emphasise that the evidence suggests our universe is not closed, so this is of intellectual interest only - fun maths but not physically relevant.
In a closed universe the universe expands outwards from a Big Bang but then the expansion stops... | {
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"tags": "universe",
"url": null
} |
humidity, air-pollution
Title: Does usual city pollution have effects on relative humidity? I've noticed that in a rural area with low pollution the relative humidity is constantly lower than the humidity in a high polluted city. Is there any correlation between pollution and humidity? By way of reference, "humidity ... | {
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"tags": "humidity, air-pollution",
"url": null
} |
ros2, message-filters, approximatetime
bbox_msg = self.bridge.cv2_to_imgmsg(bbox_image_)
self.camera_pub.publish(bbox_msg)
def draw_box(self, cv_image: np.array, x_position, y_position,x_size, y_size, color) -> np.array:
min_pt = (round(x_position - x_size / 2.0),
rou... | {
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"tags": "ros2, message-filters, approximatetime",
"url": null
} |
Pendulum (Motion …. 2004): if the length of [a conical] pendulum be /, the semi-major axis of the ellipse described by the pendulum …. 12 S G Kamath The motion of a pendulum--be it the simple, spherical or the conical--is a concrete example wherein the three types of motions discussed above are realized physically. Bec... | {
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"openwebmath_score": 0.6579096913337708,
"tags... |
typescript, vue.js
If you have plenty of more of these <span> elements, creating a component would be the way to go. Then you could have a component to handle the following:
It is a <span> element and applies the calc-button-control class.
It has a method for what to do when clicked or keyup event triggers.
I am not... | {
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} |
quantum-mechanics, radiation
Title: Where are the photons coming from? Particles and Antiparticles can annihilate, and they are completely destroyed in the process, which creates photons.
From wikipedia:
An unstable atomic nucleus with an excess of neutrons may undergo β− decay
n → p + e− + -νe
neutron decays into pro... | {
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"tags": "quantum-mechanics, radiation",
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} |
simulation, c++, rviz, moveit, ros-kinetic
Title: Robot Simulation using RViz as part of Custom GUI
Hello
I am trying to implement a GUI (using C++ and QT) to control my robot. I would like to have a simulation of my robot to be part of the GUI so that I can first move my robot on the simulation (using my GUI control... | {
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"tags": "simulation, c++, rviz, moveit, ros-kinetic",
"url": null
} |
species-identification, zoology
Title: What kind of spider is this (from Bangladesh)? I just saw this spider in my bathroom. I was wondering what kind of spider is this and if it is venomous.
Country: Bangladesh Only three Sparassidae (huntsman spider) species have been observed in Bangladesh on iNaturalist. Only one ... | {
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"tags": "species-identification, zoology",
"url": null
} |
quantum-mechanics, momentum, potential, schroedinger-equation, potential-energy
The concept you are probably missing is the one of reflected matter waves at a step potential.
To not get into it too deeply and stay close to your picture:
When speaking about potential wells, it is necessary to describe matter as waves t... | {
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... |
Proof that ALL roots greater than 2 of 2 are irrational
Assuming $$\sqrt[n]{2}$$ is rational for $$n>2$$, $$\sqrt[n]{2}={a\over b}$$ such that $$a$$ and $$b$$ are integers and $${a\over b}$$ is fully simplified.
$$2=({a\over b})^n$$
$$2={a^n\over b^n}$$
$$2b^n=a^n$$
$$b^n+b^n=a^n$$
By Fermat's Last Theorem, this ... | {
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... |
c++, c++11, multithreading
if (millisecondsBeforeTimeout < 1) // Handle isn't open and we are waiting no time, punt..
return false;
}
auto start = std::chrono::system_clock::now();
cout << "waiting.." << endl;
std::unique_lock<std::mutex> lockJustForThisWaiter(handleOp... | {
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quantum-field-theory
presumably has to be a coordinate-free way in which the relationships between the different discrete values are different. There will, I now suppose, have to be enough distinction between raising and lowering operators between different sectors of the theory and measurement operators to allow ther... | {
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"tags": "quantum-field-theory",
"url": null
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c#, array, .net, generics, lambda
Title: Find Method Implementation for Multidimensional Array in C# I found that Array.Find(T[], Predicate) Method is only support one dimensional array. I am trying to generalize it to multi-dimensional array in this post.
The experimental implementation
The experimental implementatio... | {
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quantum-mechanics, special-relativity, schroedinger-equation, dirac-equation
Hopefully that helps, the notion of a negative probability does not make sense because we define probability on the interval [0,1], so by definition negative probabilities have no meaning. This point is sometimes lost on people when they try... | {
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"u... |
r
When creating images that don't have a multi-page format (i.e. anything except PDF), and not changing the image name with each save, you need to add in a format specifier to tell R what to do with new created images. For example, this will add a three digit zero-padded number for each new TIFF image:
tiff(filename =... | {
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So the condition for the boundedness is: the positive cone generated by the $\ell_i$'s is the whole (dual) space. It is enough that the $\pm$ coordinate functionals are.
It is not that hard to see that one needs at least $(n+1)$ functionals $\ell_i$.
Now, like you said ( translated) the cone is not the whole space if... | {
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"openwebmath_score": 0.9418015480041504,
"ta... |
equilibrium, kinetics, chemical-biology
Now let's extend this equation so that it includes a half-saturation constant $h$, i.e. concentration of $\ce{A}$ required for $y=0.5$ (50% activation). If I'm doing this correctly, we get:
$$y=\frac{K_\text{A}\cdot \mathrm{A^n}}{K_\text{A}\cdot h^n + K_\text{A}\cdot \mathrm{A^n... | {
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+ 2? The graph y = cos(θ) − 1 is a graph of cos shifted down the y-axis by 1 unit. It is a 1-1 function if it passes both the vertical line test and the horizontal line test. So, it is shifted vertically upward by 2 units State the transformation f(x) = lx+2l - 3. horizontal translation left 2 and vertical translation ... | {
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"lm_q1_score": 0.9752018362008348,
"lm_q1q2_score": 0.801800343416051,
"lm_q2_score": 0.822189123986562,
"openwebmath_perplexity": 951.3612454109199,
"openwebmath_score": 0.6688075065612793,
"tags": null,
... |
examples good measure of dispersion the interquartile range of the data specially it fails to any. Experts in your field units of measurements their average are called coefficients as original. Highest score to give any idea about the following dataset of final math exam for! Mean deviation ; standard deviation is larg... | {
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"lm_q1_score": 0.9802808701643914,
"lm_q1q2_score": 0.8351530266828452,
"lm_q2_score": 0.8519527944504227,
"openwebmath_perplexity": 681.8413820680182,
"openwebmath_score": 0.7993106245994568,
... |
decision-trees
Title: Ordinal feature in decision tree I am curious if ordinal features are treated differently from categorical features in decision tree, I am interested in both cases where target is categorical or continuous.
If there is a difference, could you anybody point to good source with explanation and any ... | {
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"tags": "decision-trees",
"url": null
} |
digital-communications, estimation, viterbi-algorithm, maximum-a-posteriori-estimation
The performance of ML and MAP detector on $H_1$ is better than that of $H_2$ which is obviously because of high ISI in $H_2$ as compared to $H_1$.
What transformation on $H_2$ can be done so that the resulting channel has a BER vs ... | {
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"tags": "digital-communications, estimation, viterbi-algorithm, maximum-a-posteriori-estimation"... |
thermodynamics, entropy
I came across a solution here.
But I am unable to understand some of the underlying concept.
How can we consider this as isochoric? Each gas now occupies double the volume it had occupied earlier. We can't neglect the change in volume while calculating entropy change.
According to me, entropy c... | {
"domain": "physics.stackexchange",
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"tags": "thermodynamics, entropy",
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} |
$\displaystyle \binom{n}{k} = \frac{n!}{k!(n-k)!}$
just how to make a pascal's triangle, by summing two adjacent row-elements and putting the result "in-between" on the next row...everything "outside the triangle" is all 0's). so in that sense my proof is "stronger" since it assumes less. on a deeper level, pascal's t... | {
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"lm_q2_score": 0.8740772269642949,
"openwebmath_perplexity": 630.8812305738803,
"openwebmath_score": 0.8851572871208191,
... |
statics, beam, bending
Title: What are the units used in beam bending equations? Do they matter? I was just wondering whether or not the standard beam bending equations worked for all units. E.g. imperial and metric etc.
From what I'm guessing it shouldn't really, since once we plug everything in the units should canc... | {
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"tags": "statics, beam, bending",
"url": null
} |
javascript, design-patterns, node.js
function B () {}
B.prototype.method = function(msg, cb) {
console.log('B scraper: %j', msg);
cb(null, 'done message');
};
Here is the factory that has the job of knowing what it imports and attaching the objects defined above to the Factory's caller:
//-----------------------... | {
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"tags": "javascript, design-patterns, node.js",
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} |
power-spectral-density
Title: Clarification Needed: Power Spectral Density of Real Signal For a real signal, the power spectrum will have Hermitian symmetry. If I consider the one-sided spectrum (as negative frequencies, or anything above the Nyquist frequency are redundant) must I then multiply my power spectrum by a... | {
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"tags": "power-spectral-density",
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} |
machine-learning, python, neural-network, keras
_________________________________________________________________
Layer (type) Output Shape Param #
=================================================================
conv2d_11 (Conv2D) (None, 254, 254, 32) 896
_______... | {
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"tags": "machine-learning, python, neural-network, keras",
"url": null
} |
inverse-kinematics, python, joint, jacobian
def forwardKinematics(theta1, theta2, theta3):
xcurrent = 370.8 * sine(theta1) + 374 * sine(theta1+theta2) + 229 * sine(theta1+theta2+theta3)
zcurrent = 370.8 * cos(theta1) + 374 * cos(theta1+theta2) + 229 * cos(theta1+theta2+theta3)
return xcurrent, zcu... | {
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"tags": "inverse-kinematics, python, joint, jacobian",
"url": null
} |
newtonian-mechanics, forces, free-body-diagram
Title: Does Newton's third law hold only for isolated system? I'm trying to show the equivalence between the conservation of momentum and the Third Newton's Law.
We have the Newton's third law, that asserts that if object 1 exerts a force $F_{21}$ on object 2, then object... | {
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"tags": "newtonian-mechanics, forces, free-body-diagram",
"url": null
} |
quantum-gate, gate-synthesis
How do I define arbitrary (non-integer) powers of the square-root of NOT or square-root of SWAP?
How do I find their unitary matrices?
How might I implement these gates? Let's start with some general theory. If you have a normal matrix $A$ (of which unitaries are a subset), you can define ... | {
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quantum-field-theory, quantum-interpretations
Not sure if this is the kind of answer the OP is looking for, but I'll give it a try and see how it's received. This is a non-perturbative perspective.
QFT refines quantum theory
QFT is a refinement of the general principles of quantum theory. The general principles of ... | {
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usb
Originally posted by davinci with karma: 2573 on 2013-01-04
This answer was ACCEPTED on the original site
Post score: 0
Original comments
Comment by joe.s on 2013-01-04:
This is the code for the launch file:
<launch>
<node name="interface_kit" pkg="phidgets_ros" type="interface_kit.py" output="screen">
<!-- <... | {
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python, beginner, hash-map
Improvements:
Naming: "merge_type" is a strange name, I don't know what it means. I think "merge_dictionary" makes more sense.
Instead of appending list items one by one with .append, it's better to add all at once using .extend
Why limit to string types? Why not append any kind of non-list... | {
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"tags": "python, beginner, hash-map",
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fourier-transform, modulation, amplitude-modulation
I'm wondering whether this argument is a good one, or whether I missed something… I understand that given a small enough window, the spectrum would be a Dirac with the given frequency, but, the argument states that "sharp changes", so I figured out that I had to take... | {
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"tags": "fourier-transform, modulation, amplitude-modulation",
"url": null
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electromagnetism, differential-geometry, gauge-theory, vector-fields, topology
Title: Abelian flat connection maps to zero
In an abelian gauge theory, a flat connection is an $A_\mu$ such that $F_{\mu\nu}=0$. I have to prove that these connections are equivalent to $0$, i.e. there is a gauge transformation that maps ... | {
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"tags": "electromagnetism, differential-geometry, gauge-theory, vector-fields, topology",
... |
Return value :
A SDL_Surface with the rendered text
The function returns a NULL pointer of it can’t find the file, or there is another error ( like SDL2_ttf isn’t initialized. So this too should be handled by priting the error using SDL_GetError(), just like when initializing ttf
As you can see, both the arguments a... | {
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"lm_q1_score": 0.9893474901025369,
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"lm_q2_score": 0.8128673087708699,
"openwebmath_perplexity": 853.2340588705124,
"openwebmath_score": 0.5163815021514893,
"tags":... |
waves
Title: What is the difference in the uses of $\omega t$ and $kx$ in wave equation? We know that in a wave equation $y = A \sin (\omega t + kx + \phi)$,
$y$ = Displacement of particle on y-axis (assuming transverse wave)
$A$ = Amplitude
$\omega$ = Angular velocity
$k$ = wave number and
$\phi$ = phase difference
I... | {
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"url": null
} |
\leftrightsquigarrow $\leftrightsquigarrow$ \nRightarrow $\nRightarrow$ \uparrow $\uparrow$ \downharpoonright $\downharpoonright$ \Lleftarrow $\Lleftarrow$ \nwarrow $\nwarrow$ \Uparrow $\Uparrow$ \gets $\gets$ \longleftarrow $\longleftarrow$ \restriction $\restriction$ \updownarrow $\updownarrow$ \hookleftarrow $\hookl... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9724147161743552,
"lm_q1q2_score": 0.8060722939650908,
"lm_q2_score": 0.828938806208442,
"openwebmath_perplexity": 10316.063277768013,
"openwebmath_score": 1.0000098943710327,
"tags": n... |
organic-chemistry, acid-base
Title: Basicity of nitrogen heterocyclic compounds
Question :
The order of basicity for the following compounds is :
The logic I've applied is that since 4 has a conjugated system, the lone pair of N will be delocalised and hence would be the least basic. Conjugate systems/Resonance is n... | {
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performance, time-limit-exceeded, r
dput
s <- structure(list(id = c("USC00031152", "USC00034638", "USC00036352",
"USC00031152", "USC00034638", "USC00036352", "USC00031152", "USC00034638",
"USC00036352"), lat = c(33.59, 34.7392, 35.2833, 33.59, 34.7392,
35.2833, 33.59, 34.7392, 35.2833), long = c(-92.8236, -90.7664,... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "performance, time-limit-exceeded, r",
"url": null
} |
java, game
public Shop(Account[] dataBase, Product[] assortiment) throws CloneNotSupportedException{
this.dataBase = dataBase;
this.assortiment = assortiment;
}
public void play(Account user) throws CloneNotSupportedException {
AccountAndDataBase userAndDataBaseClone;
if(user =... | {
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} |
algorithms, decision-problem, numeral-representations
Put $n$ at one of the $n$ available spots.
Put $n-1$ at one of the $n-1$ available spots.
Go on until you put $1$ the only available spot.
Here $B_i = i$, and we get a way to enumerate permutations.
This method works even more generally. For example, using the rec... | {
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"tags": "algorithms, decision-problem, numeral-representations",
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} |
python, algorithm, python-2.x
return False
if __name__ == "__main__":
print sum_target([23, 5, 4, 7, 2, 11], 20)
print sum_target([1, 3, 5, 23, 2], 8)
print sum_target([1, 3, 5, 23, 2], 7) In case there's no acceptable sequence, you have to go through all the elements anyway, so it can't be lower than O(n... | {
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"tags": "python, algorithm, python-2.x",
"url": null
} |
waves, electromagnetic-radiation, acoustics, interference, noise
Title: Destructive Interference applied to ElectroMagnetic Waves? For active noise cancelling (in for example headphones) a process called 'destructive interference' is used. | {
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"tags": "waves, electromagnetic-radiation, acoustics, interference, noise",
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electrostatics, charge
$$\mathrm dq =\rho(x_0,y_0,z_0)\:\mathrm dA\:\mathrm dt\tag{1}$$
Now the surface charge density is defined as $\sigma =\mathrm d q/\mathrm dA$. Using this, and equation$(1)$, we get
$$\sigma(x_0,y_0,z_0)=\frac{\rho(x_0,y_0,z_0)\:\mathrm dA\:\mathrm dt}{\mathrm dA}=\rho(x_0,y_0,z_0)\:\mathrm dt$$... | {
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"id": 70251,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "electrostatics, charge",
"url": null
} |
seurat, single-cell
Title: Why does my SplitDotPlotGG plot show differential expression of a gene but Seurat::FindMarkers() function does not return it? I have analysed and clustered my single cell rna seq data with methods in the Seurat package. After clustering, I obtained two main clusters: 0 and 1. I used the Seu... | {
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"id": 893,
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"tags": "seurat, single-cell",
"url": null
} |
5.3 Randomized algorithms
5.3-1
Professor Marceau objects to the loop invariant used in the proof of Lemma 5.5. He questions whether it is true prior to the first iteration. He reasons that we could just as easily declare that an empty subarray contains no $0$-permutations. Therefore, the probability that an empty su... | {
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# Max Height of Ball
• July 21st 2008, 04:58 AM
magentarita
Max Height of Ball
The height s of a ball (in feet) thrown with an initial velocity of 60 feet per second from an initial height of 6 feet is given as a function of the time t (in seconds) by s(t) = (-16t^2) + 60t + 6
(a) Determine the time at which height i... | {
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"lm_q1_score": 0.9805806552225684,
"lm_q1q2_score": 0.806222760596405,
"lm_q2_score": 0.822189134878876,
"openwebmath_perplexity": 787.137507682681,
"openwebmath_score": 0.7814156413078308,
"tags":... |
soft-question, history
Title: Source of "Physics is solved" quote I have a vague memory of some prominent scientist in the time just before quantum mechanics got going bragging that physics was solved except for a few edge cases and some slightly more precise measurements.
I am trying to find the original wording and ... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "soft-question, history",
"url": null
} |
special-relativity, metric-tensor
Title: Four-vectors and metric tensor I think it's safe to say that if $x^\mu=(x^0,x^1,x^2,x^3)$, then $x_\mu=(x^0,-x^1,-x^2,-x^3)$. But I don't really understand why one follows from the other. Could someone explain?
Also, I've been churning my head around the difference between $\et... | {
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"tags": "special-relativity, metric-tensor",
"url": null
} |
c++, c++17
[[nodiscard]]
bool empty() const noexcept {
return m_components.empty();
}
[[nodiscard]]
size_type size() const noexcept {
return m_components.size();
}
[[nodiscard]]
size_type max_size() const noexcept {
return m_... | {
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"openwebmath_score": null,
"tags": "c++, c++17",
"url": null
} |
angular-momentum, rotational-dynamics, reference-frames, rigid-body-dynamics, angular-velocity
Title: Euler's equation for a rotating frame when the inertia tensor is non-diagonal Wikipedia's entry for Euler's equation states:
In classical mechanics, Euler's rotation equations are a vectorial quasilinear first-order ... | {
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"tags": "angular-momentum, rotational-dynamics, reference-frames, rigid-body-dynamics, angu... |
1
It depends on the context. If there is no ambiguity, "less than or equal to" works. In a lecture, you might pronounce it "curly less than" to help people who are taking notes. If you want a short way to pronounce it, you might vocally label it "r" or "rel" (short for "relation"), as in "Suppose that rel is a partial... | {
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"lm_q1_score": 0.9603611631680359,
"lm_q1q2_score": 0.8219261994692041,
"lm_q2_score": 0.855851143290548,
"openwebmath_perplexity": 247.79704486387345,
"openwebmath_score": 0.9453113675117493,
"tag... |
beginner, calculator, kotlin, mobile
data class Accumulator(val year: Int, val salary: Float, val total: Float)
val seed = Accumulator(0, salary, 0f)
val accumulators = generateSequence(seed) { accum ->
Accumulator(year = accum.year + 1,
salary = accum.salary * annualIncreaseRatio,
... | {
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"id": 26750,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "beginner, calculator, kotlin, mobile",
"url": null
} |
filter-design, bandpass, zero-padding
Title: Implementing digital filter by padding with zeros I am making a 9th order digital bandpass filter with lower and upper corners of 200 kHz and 40 MHz respectively. I am using this filter to filter a 1D time domain signal which is 64k samples long sampled at a frequency of 15... | {
"domain": "dsp.stackexchange",
"id": 2126,
"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": "filter-design, bandpass, zero-padding",
"url": null
} |
quantum-measurements
I am able to derive the following:
$Tr[\rho(t+T)^2] = Tr[\sum_{\lambda,\lambda^{'}}\hat{\Pi}_{\lambda}\rho(t)\hat{\Pi}_{\lambda}\hat{\Pi}_{\lambda^{'}}\rho(t)\hat{\Pi}_{\lambda^{'}}] = Tr[\sum_{\lambda,\lambda^{'}}\hat{\Pi}_{\lambda}\rho(t)\hat{\Pi}_{\lambda}\delta_{\lambda,\lambda^{'}}\rho(t)\ha... | {
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"id": 59917,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "quantum-measurements",
"url": null
} |
particle-physics
Title: Explanation for self-rupture glass is needed I witnessed a phenomenon that I couldn't conclude its cause. Please bear with me for the length of the recall, for I merely want to include any details that might help us to investigate. I had a cooking glass lid sat on a wooden shelf that is away ... | {
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"id": 4690,
"lm_label": null,
"lm_name": null,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "particle-physics",
"url": null
} |
dct, dft
Title: Could a DCT be used for an audio magnitude spectrum rather than DFT? From what I understand, the DCT has half the bin size as a DFT of the same size N. The DFT also includes phase information, but often this is not needed when only the magnitude spectrum is desired.
Could the DCT be used to provide... | {
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"id": 4226,
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"lm_name": null,
"lm_q1_score": null,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "dct, dft",
"url": null
} |
2x2,... The term transpose to refer to the matrix is the same as the matrix, it is obtained rows!: Y → X is denoted as “ det a ” or |A| a transpose ’! On a les résultats fondamentaux ces deux matrices est égale au produit des transposées de ces deux matrices mais. Index for each element ( a ) = det ( ) calculate determ... | {
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"id": null,
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"lm_q1_score": 0.9678992914310603,
"lm_q1q2_score": 0.8356761411301208,
"lm_q2_score": 0.8633916240341031,
"openwebmath_perplexity": 507.11214272483727,
"openwebmath_score": 0.9179682731628418,
... |
c, strings
I'm primarily interested in:
What inputs (if any) could cause these functions to perform undefined behaviour?
Are there enough comments?
Is the ASSERT_EQ macro safe to use, and is there any way to let it be used with types other than int? (I used templates in C++, but am at a loss in C.)
Would there be a ... | {
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"openwebmath_score": null,
"tags": "c, strings",
"url": null
} |
python, beautifulsoup, python-2.x
self.visited.add(url)
content = self.session.get(url, verify=False).content
soup = BeautifulSoup(content, "lxml")
for img in soup.select("img[src]"):
image_url = img["src"]
if not image_url.startswith(("data:image", "javascript")):
... | {
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"openwebmath_score": null,
"tags": "python, beautifulsoup, python-2.x",
"url": null
} |
prism are rectangular. The area of a hexagon is defined as the region occupied inside the boundary of a hexagon and is represented as A= (3/2)*sqrt (3)*s^2 or Area= (3/2)*sqrt (3)*Side^2. Together well like an equilateral triangle and they are commonly seen as tiles the! Solution: given that, hexagon apothem = 10√3 cm ... | {
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"id": null,
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9857180648162212,
"lm_q1q2_score": 0.8104466722089778,
"lm_q2_score": 0.8221891239865619,
"openwebmath_perplexity": 437.94188653280725,
"openwebmath_score": 0.661034882068634,
"ta... |
sure that the domains *.kastatic.org and *.kasandbox.org are unblocked and assimilate Discrete Mathematics final exam section Combinations! The names objects by selecting them in a previous video professor writes 40 Discrete Mathematics the 3...: when the order does matter it is a ( possible ) rearrangement of objects ... | {
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"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9840936115537341,
"lm_q1q2_score": 0.8601738328144543,
"lm_q2_score": 0.8740772450055545,
"openwebmath_perplexity": 828.5639289170634,
"openwebmath_score": 0.52963411808... |
downsampling, scipy
Title: Scipy resample, "fourier method" explanation I am seeking explanation of what "Fourier method" is that is described for resampling in documentation of resample() method. I want to downsample an array. I know what decimation is and how it works, I also know what fourier transform is. I cannot... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "downsampling, scipy",
"url": null
} |
ros, ros2, cmake, colcon
It seems like the ROS 2 package (bar) has trouble finding the cmake package (foo) library and headers but find_package(foo) works.
I found an ugly solution (available in the repo here) which consists of 2 steps:
1.Manually add the include directory
get_filename_component(INSTALL_DIR ${CMAKE_IN... | {
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An alternative proof is as follows. Since $A$ is psd, $A=UDU^*$, where $U$ is unitary and $D$ is diagonal. Suppose $A$ has $k$ distinct eigenvalues, $\lambda_1 < \lambda_2 <...< \lambda_k$. Then $D$ may be chosen to be $D=\lambda_1I_{m_1}\oplus\lambda_2I_{m_2}\oplus...\oplus\lambda_kI_{m_k}$, where $m_i$ denotes the mu... | {
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"lm_q1_score": 0.9843363485313248,
"lm_q1q2_score": 0.8443323189841071,
"lm_q2_score": 0.8577680995361899,
"openwebmath_perplexity": 171.51542012537462,
"openwebmath_score": 0.9792087078094482,
"ta... |
javascript, jquery, design-patterns
Title: JavaScript Module Pattern with AJAX I have an application which currently uses AJAX for CRUD operations on a simple Person object. The following script works fine, but I'm looking for some pointers on how to structure my code. Currently, I have four methods for CRUD operati... | {
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"tags": "javascript, jquery, design-patterns",
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kinematics, manipulator
Just a concluding remark about the following statement:
For robot, the null space of Jacobian is the set of joints' velocities vectors that yield zero linear and angular velocities of the end-effector
This is often the case but it's not 100% true. It very depends on the primary task, which in... | {
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quantum-mechanics, hilbert-space, operators, observables
$$|\alpha⟩= \sum{⟨b'|\alpha⟩|b'⟩} = \sum{⟨a'|U^{\dagger}|\alpha⟩U|a'⟩}$$
Hence the expansion coefficients of $|\alpha⟩$ in $b'$ representation is $⟨a'|U^{\dagger}|\alpha⟩$. Also the operator $A$ in $b'$ representation will become $U^{\dagger}AU$. Similar procedu... | {
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And so we can set up a little table here to think about some potential values. The Fundamental Theorem of Calculus justifies this procedure. Motivation: Problem of finding antiderivatives – Typeset by FoilTEX – 2. Fundamental Theorem of Calculus Notesheet A 01 Completed Notes FTOC Homework A 01 - HW Solutions Fundamenta... | {
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"id": null,
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9706877684006775,
"lm_q1q2_score": 0.8002951053524482,
"lm_q2_score": 0.8244619242200082,
"openwebmath_perplexity": 1200.6522731897908,
"openwebmath_score": 0.7867779731750488,
"tag... |
visualization, data-analysis
One may also note on this graph that there is some kind of underlying discrete distribution of the values: very clearly for values 0 and 1, but also from all the white horizontal lines which show that some values seldom exist in the data. | {
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} |
cosmology, fourier-transform, simulations
Title: Power spectrum of a vector field I am looking for a clear definition for the power spectrum of a vector field.
In the literature I've found this expression:
$$ \langle \tilde{\boldsymbol{v}}(\boldsymbol{k}) \cdot \tilde{\boldsymbol{v}}^\ast (\boldsymbol{k'}) \rangle = (... | {
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"openwebmath_score": null,
"tags": "cosmology, fourier-transform, simulations",
"url": null
} |
thermodynamics, entropy
A key step in order to establish link to equilibrium thermodynamics is then played by the probability distributions of the statistical ensembles describing system at thermodynamic equilibrium. It is a consequence of Liouville's theorem that any equilibrium probability density of Hamiltonian sys... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "thermodynamics, entropy",
"url": null
} |
particle-physics, gravity, higgs
Title: Does the Higgs field also bend in gravitational space-time fields? I hope I'm formulating this correctly: if the Higgs field is responsible for generating particle mass by interaction, does it bend in/around the gravitational space-time of amassed particles "given" gravity by th... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "particle-physics, gravity, higgs",
"url": null
} |
quantum-mechanics, wavefunction, probability, quantum-interpretations, born-rule
Before diving into interpretations, let's distinguish the two types of time evolution a quantum system can undergo. There is unitary evolution: the state of the system is rotated in some way within the Hilbert space. That's what Schröding... | {
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"tags": "quantum-mechanics, wavefunction, probability, quantum-interpretations, born-rule",... |
cosmology, cosmological-inflation
We will observe that the speed of light is decreasing, as light usually travels $3*10^8$m, in a second, but now since the universe is inflating, it will travel something lesser then that for instance $1.5*10^8$
As far as observation is considered, I dont think we will see any changes,... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "cosmology, cosmological-inflation",
"url": null
} |
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