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Question 1
Let the probability density function of a random variable $x$ be given as
$f(x)=ae^{-2|x|}$
The value of $'a'$ is _________
A 0.5 B 1 C 1.5 D 2
GATE EE 2022 Probability and Statistics
Question 1 Explanation:
$f(x)=\left\{\begin{matrix} ae^{2x} &x \lt 0 \\ ae^{-2x} &x \gt 0 \end{matrix}\right.$
Therefor... | {
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python, beginner, flask, sqlalchemy
class CenterBusiness(db.Model):
cenId = db.Column(MEDIUMINT(8, unsigned=True),
db.ForeignKey('center.id',
onupdate='RESTRICT',
ondelete='RESTRICT'),
primary_key=Tr... | {
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"url": null
} |
one newton of force is newton quantities obtained..., you have to measure velocity in SI unit of momentum is kilogram meters per second -- > ( *! Celeb News within the sections Markets, Business, Showbiz, Gaming and! Body is known as momentum of a body is known as momentum of the mass velocity... In meter / sec ( meter... | {
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"openwebmath_score": 0.7047728300094604,
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Yes, that is true. By hypothesis, for any $\epsilon>0$, there is some $t>0$ such that for all $x>t$, we have $|f(x+1)-f(x)|<\epsilon$. Let $M=\max\limits_{x\in[t,t+1]}|f(x)|$, which exists since $f$ is continuous.
For $x=t+h$ with $n+1>h\geq n$, we have that $$|f(x)-f(t+h-n)|\leq |f(t+h)-f(t+h-1)|+\cdots +|f(t+h-n+1)-... | {
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"openwebmath_score": 0.9024708271026611,
"tag... |
newtonian-mechanics, classical-mechanics, lagrangian-formalism, coordinate-systems, constrained-dynamics
Title: Analyzing uniform circular motion with Lagrangian mechanics Consider swinging a ball around a center via uniform circular motion. The centripetal acceleration is provided by the tension of a rope. Now, is th... | {
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# [Math] Recurring decimal expansion of $\frac17$
decimal-expansion
The decimal expansion of $\frac17$ seems to have an interesting pattern:
$$\frac{1}{7} = 0.142857142857142857…$$
Take the first two digits of the expansion: $14 = 2^1*7$
Then the next two: $28 = 2^2*7$
The pattern seems to halt abruptly with the n... | {
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c++
Error checking.
stat may fail. readdir may fail (if so it would return NULL, and you need to test errno, rather than blindly breaking a loop).
Similarly, the exception you throw on opendir failure loses the important information, namely why opendir failed. Provide errno or strerror(errno).
Why class?
class Diren... | {
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evolution
It may be difficult to define rigorously what an evolutionary
innovation is [538,616]. However, these and countless other examples
show that it is usually easy to recognize: a new feature that endows
its bearer with qualitatively new, often game changing abilities.
These may not only mean the differe... | {
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"tags": "evolution",
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java, finance
while (menuOption != 4)
{
menuOption=menu();
switch (menuOption)
{
case 1:
displayBalance(currentBal);
break;
case 2:
System.out.print("\nEnter Amount You Wish to Deposit: $ ");
... | {
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deep-learning, word-embeddings
Title: What is the standard output of the GloVe algorithm? When I look at the loss function of the GloVe algorithm for generating word vectors, I see that $w$ and $\tilde{w}$ are symmetric:
$$
J=\sum_{i,j=1}^Vf(X_{ij})(w_i^T\tilde{w}_j+b_i+b_j-logX_{ij})^2
$$
(eq. 8 from https://nlp.sta... | {
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having essentially substituted $k = n + \frac{1}{n}$ and used $k^2 - 2 = n^2 + \frac{1}{n^2}$.
-
There's another approach: check that for, say $n=\pm 1,\, 0,\,\pm 2$ your polynomial is a perfect square:$$\begin{cases}25,&n=1\\1,&n=-1\\1,&n=0\\1,&n=-2\\121,&n=2.\end{cases}$$ Therefore, in five points a polynomial of f... | {
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programming, qiskit, optimization, qaoa
/usr/local/lib/python3.7/dist-packages/qiskit/providers/ibmq/runtime/utils.py in _serialize_and_encode(data, serializer, compress, **kwargs)
54 """
55 buff = io.BytesIO()
---> 56 serializer(buff, data, **kwargs)
57 buff.seek(0)
58 serializ... | {
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history, comets, meteor-shower, halleys-comet
Title: What comet's tail did Earth pass through before Halley's? This answer to Any record of the Earth passing through the tail (not trail) of a comet? mentions
Earth passed through the tail of Halley's Comet in 1910. It caused a bit of a panic due to claims that cyanoge... | {
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sun
A little math:
Let's say the absolute minimum pupil size for your eyes is 2 mm. That's about 10 mm^2 area.
Let's say you're using 50 mm aperture binoculars. That's nearly 2000 mm^2 area. That's 200x bigger than your pupil.
All the energy collected by the 50 mm aperture, which has an area 200x greater than your pup... | {
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"url": null
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Now we have the function y=x. We want to again find the area under the line from 0 to 10, so the integral becomes $\int$xdx. Here when we integrate, we simply use the power rule to integrate, x becomes x^2/2, and we plug in our 10 value. We get 50, the correct answer, also easily calculated through geometry. The dx, ef... | {
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"lm_q2_score": 0.8418256551882382,
"openwebmath_perplexity": 251.36044646186346,
"openwebmath_score": 0.9221116900444031,
"ta... |
statistical-mechanics, probability, path-integral, stochastic-processes
Title: Itô or Stratonovich calculus: which one is more relevant from the point of view of physics? Langevin equation provides an example of a physical model which involves a differential equation with a stochastic term. Now, I wonder, how should o... | {
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"url":... |
system there are two coupled differential equations that govern the motion of the system. If such a motion exist it is characterized by v= o, g= o and the fact that the cubic equation has two purely imaginary roots. This was possible only because we could neglect the mass of the string and because we could treat the ma... | {
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"lm_q1_score": 0.9883127416600689,
"lm_q1q2_score": 0.805704663296758,
"lm_q2_score": 0.8152324960856175,
"openwebmath_perplexity": 583.3157359183502,
"openwebmath_score": 0.8068075776100159,
"tags": ... |
cosmology, atomic-physics, cosmic-microwave-background, absorption, redshift
Title: Why only Lyman alpha transition suffer Redshift in the epoch of Recombination in Cosmology? I was reading Baumann's book on cosmology (topic: Effective three level system). There it is said that in the epoch of recombination to form Hy... | {
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"... |
ros, navigation, nav-core, move-base, base-local-planner
Any help would be appreciated. | {
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cc.complexity-theory, ds.algorithms, graph-theory, graph-algorithms, tree
What is the complexity of the above problem?. EDIT
As noted in comments below, I originally read the question incorrectly. I thought the goal was to determine if removing $k$ edges could increase the MST weight of $G$ above some given threshold ... | {
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I also know that the only way a 3-almost prime can fail to be square free is if one of its prime factors is repeated. So I would think that $f(n) = \pi_3(n) - \pi(\sqrt{n})$ get me somewhere close to what I want because $\pi(\sqrt{n})$ is the number of squarefull 2-almost primes.
Edit #2: I have a feeling that I'm goi... | {
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"lm_q2_score": 0.8479677622198946,
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"openwebmath_score": 0.6798007488250732,
"tags... |
php, object-oriented, mvc, ajax, pdo
Use boolean conditions directly
Instead of this:
if ($stmt->execute(...)) {
return true;
} else {
return false;
}
You can use the value of boolean conditions directly:
return $stmt->execute(...));
Avoid wildcard selects
Instead of wildcard selects like SELECT * FROM p... | {
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"tags": "php, object-oriented, mvc, ajax, pdo",
"url": null
} |
condensed-matter, quantum-computer, topological-order, anyons, majorana-fermions
Title: Basic questions in Majorana fermions Why any fermion can be written as a combination of two Majorana fermions? Is there any physical meaning in it? Why Majorana fermion can be used for topological quantum computation? I put an extr... | {
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... |
ros, slam, navigation, rosbag
<launch>
<node pkg="rgbdslam" type="rgbdslam" name="rgbdslam" cwd="node" required="false" output="log" >
<!-- see rgbslam_sample_config.launch for all available parameters and their default values -->
<param name="config/topic_image_mono" value="/camera/rgb/image... | {
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"tags": "ros, slam, navigation, rosbag",
"url": null
} |
qiskit
Title: How to construct a multi-control quantum gate whose control bit relation is XOR? So far, the control bits of most control gates have an AND relationship. How to construct a quantum gate whose control bits are XOR with the fewest auxiliary qubits? And then generalize it, is it possible to realize multi-co... | {
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} |
graphs, network-flow
Title: Edmonds-Karp shortest path vs largest bottleneck Depending on where I look, some places (https://courses.engr.illinois.edu/cs473/sp2009/notes/19-maxflowalgs.pdf) describe EK algorithm as choosing the st path with largest bottleneck value, while others (wikipedia) describe it as the shortest... | {
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} |
python, linux
_action_map, as a property, should either be cached or set as a class (i.e. static) variable. In the latter case, the initialisation could be done directly in class scope (not in a method), and the dictionary values would be to non-bound method references instead of bound method references.
_new_group ca... | {
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} |
c#, asp.net-mvc-3, entity-framework
Title: Dynamic filtering and sorting with Entity Framework I'm developing an application using ASP.NET MVC 3 and Entity Framework 4.1. In that application I have a lot of paged lists. Users can filter and sort these lists.
This results in code like the one below. I'm not really happ... | {
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"tags": "c#, asp.net-mvc-3, entity-framework",
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performance, vba, excel
Title: Copying values from one sheet to another I am trying to copy values from one sheet to another using loop with two conditions and it is very slow. Removing conditions from code doesn't have any effect on the speed of the execution.
I already have sample sheet where everything is done with... | {
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We can do the same to deal with four, or five, or five hundred things added together. But how would we deal with $$n$$ things added together, when $$n$$ changes over the course of the limit? If we "peel off" one like I did above, there'd still be infinitely many left over. In other words, even with aggressive uses of t... | {
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"lm_q2_score": 0.8947894717137996,
"openwebmath_perplexity": 249.11784842825608,
"openwebmath_score": 0.9692246317863464,
"tag... |
optics, visible-light, everyday-life, lenses
I would like to know why exactly the blocking of the dominant light source allows the less dominant ones to be seen. | {
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ros, openni, turtlebot, bumblebee
Originally posted by mmwise with karma: 8372 on 2011-06-15
This answer was ACCEPTED on the original site
Post score: 1
Original comments
Comment by mmwise on 2011-06-16:
edit the driver.launch
4
5
6
Comment by ccm on 2011-06-16:
Thanks a lot. By the way, do you know how... | {
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c#, rational-numbers
#region Static methods
public static Rational Abs(Rational number)
{
return new Rational(BigInteger.Abs(number.numerator), number.Denominator);
}
public static Rational Add(Rational left, Rational right, bool reduceOutput = false)
{
... | {
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thermodynamics, kinetic-theory
I like theory #2 because it's quantitative and it exactly predicts that pressure at any height will equal the weight of the gas above it. Its prediction that number density increases at higher altitudes seems hard to stomach, but seems unavoidable. If molecules move more slowly at high a... | {
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"tags": "thermodynamics, kinetic-theory",
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objective-c, windows
Title: Point distance program written without a framework I have been developing a cross-platform game based on open C libraries (mainly glfw) with a direct focus on Windows development. The beginning of my programming career taught me familiarity in Objective-C, however I've been using pure C for... | {
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• Induction man !! for all integers $n \geq 1$ – alkabary Jun 5 '15 at 20:05
• Direct approach: one wants to show that $$\frac{\sqrt{n+1}}{\sqrt{n}}\leqslant1+\frac1{2n-1}=\frac{2n}{2n-1}.$$ Since everything is positive, one can square both sides and reduce the result to a common denominator. This yields $$(n+1)(2n-1)^... | {
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"tags... |
newtonian-mechanics, friction
A's surface must move B's surface to the direction of the movement, otherwise B would not move.
I'm really confused. If the blocks initial velocities are zero (i.e. the blocks start to move from rest), then it is impossible for block B to move with constant velocity. Because the only hori... | {
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} |
In [109]:
my_tensor = tf.constant([[1.0, 2.0], [3.0, 4.0]])
my_variable = tf.Variable(my_tensor)
# Variables can be all kinds of types, just like tensors
bool_variable = tf.Variable([False, False, False, True])
complex_variable = tf.Variable([5 + 4j, 6 + 1j])
A variable looks and acts like a tensor, and, in fact, is... | {
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"openwebmath_score": 0.29298263788223267,
"tag... |
filters, finite-impulse-response, infinite-impulse-response
Title: Explanation of FIR and IIR Filters with Simple Words It seems I am unable to understand how these filters work and what is the point of using them, no matter how many tutorials I watched.
Could someone please explain, in simple words, what FIR and IIR ... | {
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Other waves can be derived from it by convolution.
• Specify "works better". – DanielSank Jul 24 '18 at 18:56
• Easier to analyze and understand. – user45664 Jul 24 '18 at 19:00
A common approach is to apply an envelope to the function. Typically this is done in the time domain rather than the frequency domain becaus... | {
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"tags"... |
I think that this is true but when I try to show it, the problem comes up that I can show that $a_n$ is dominated by the same sequence that dominates $\sum\limits_{k=1}^n a_k$, but I can't show that $\sum\limits_{k=1}^n a_k$ is large relative to $a_n$. In my mind though, I know that if the RHS is not true and this limi... | {
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"lm_q1_score": 0.9637799441350253,
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"lm_q2_score": 0.8418256452674008,
"openwebmath_perplexity": 164.03018296986093,
"openwebmath_score": 0.9444320797920227,
"ta... |
java, beginner, object-oriented, game, android
public ArrayList<Piece> getPieceList(){
return pieceList;
}
public Piece getCurrentPiece() {
return pieceList.get(pieceList.size() - 2);
}
public Piece getNextPiece() {
return pieceList.get(pieceList.size()-1);
}
private void placePiece(Piece cur... | {
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"openwebmath_score": null,
"tags": "java, beginner, object-oriented, game, android",
"url": null
} |
electromagnetism, nuclear-physics, plasma-physics, fusion
you can see how each coil is rotated slightly compared to the ones immediately before and after it.
This sounds a nice simple idea, but containing plasma makes herding cats seem easy because the plasma generates its own fields as it flows and these interact wit... | {
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"tags": "electromagnetism, nuclear-physics, plasma-physics, fusion",
"url": null
} |
c#, ddd
Below are before and after screen shots of the Data Protection part of the Add Call view:
The current system was written five years ago and we did not attempt to use any design patterns or modern approaches (such as Domain-Driven Design) because we lacked the time and understanding.
We now have the opportunit... | {
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} |
newtonian-mechanics, energy, work, units, dimensional-analysis
A more difficult question might be why torque has the same units as energy. This is more subtle, but the key concept is this: units are not the only thing that determines a quantity's interpretation. Context matters too. Energy and torque may have the same... | {
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"tags": "newtonian-mechanics, energy, work, units, dimensional-analysis",
"url": null
} |
one-way-functions
Back to your original question. Suppose $f$ is a one way permutation and define $g(x,i,j)=(f(x),i,j,x_i)$. Inverting $f$ reduces to (under the above definition) evaluating $h(x,i,j)=x_j$, since you can feed the oracle different values of $j$. However, $h$ is not hardcore for $g$, since for a uniforml... | {
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• I see now that using Bolzano's Theorem first to check for intersection is redundant, I had failed to notice that finding the actual point of tangency in $h(x)$ also implied intersection. I guess I was doing things mechanically. Thanks! Apr 21 '16 at 1:44
• There isn't anything wrong with doing things mechanically, bu... | {
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"openwebmath_score": 0.8392073512077332,
"tag... |
biochemistry, homework
Do you have the name of this compound?
Let's hope that a real glycobiologist comes along.
Supplementary
I'm now not sure that it is even possible to assign an anomeric state to the sugar marked as ?. There is no indication in the diagram of the presence of a -CH2OH substituent on the ring - it a... | {
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"tags": "biochemistry, homework",
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quantum-field-theory, hilbert-space, many-body, quantum-states, coherent-states
&= e^{-|\underline\alpha|^2} \sum_{n=0}^\infty\frac{|\underline\alpha|^{2n}}{n!^2}\langle 0 |b^n (b^\dagger)^n|0\rangle \\
&=e^{-|\underline\alpha|^2} \sum_{n=0}^\infty\frac{|\underline\alpha|^{2n}}{n!} \\
&= 1
\end{align}
Edit :
The Fock... | {
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... |
-
How did you get HA=3 from my understanding you split the triangle into two right angle triangle and applied phythagoras ? – MistyD Jun 17 '12 at 22:41
@MistyD No. Let $G$ be a point on the line passing through $A$ and $H$ such that $|GH| = |AH|$ and $|AG| = 2|GH|$. Then $\triangle AGC$ is equilateral, so $|AG| = |AC... | {
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"lm_q2_score": 0.8438950966654774,
"openwebmath_perplexity": 498.9157590476278,
"openwebmath_score": 0.8782363533973694,
"tag... |
mechanical-engineering, applied-mechanics, modeling, springs
Title: Calculate forces/ torques on a parallel spring array I am stuck on the calculation of forces on a certain system involving parallel springs.
The schematic of the system is as follows: | {
"domain": "engineering.stackexchange",
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"tags": "mechanical-engineering, applied-mechanics, modeling, springs",
"url": null
} |
ros, rospy, yaml, pip
My program code is:
#!/usr/bin/python3
import rospy
from std_msgs.msg import String
#added
from geometry_msgs.msg import Twist
def callback(data):
global msg
if data.data=="Unknown":
pub = rospy.Publisher('cmd_vel', Twist)
rospy.loginfo("Classifiers output: %s in un... | {
"domain": "robotics.stackexchange",
"id": 29666,
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"tags": "ros, rospy, yaml, pip",
"url": null
} |
of 90%, as well as good mechanical and thermal durability. Use the following formula to calculate average cost per unit: Average Cost Per Unit = Total Production Cost / Number of Units Produced. Let's take a more in depth look at the cost function and see how it works. It states that as you continue to add input (worke... | {
"domain": "delleparoleguerriere.it",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9802808707404786,
"lm_q1q2_score": 0.8037257618717885,
"lm_q2_score": 0.8198933447152498,
"openwebmath_perplexity": 839.5083018859096,
"openwebmath_score": 0.54977911710739... |
many do not study history. Close. Set notation questions. Close. Venn diagrams are a useful tool in the world of statistics. This means that 22 out of the 80 only like crocodiles and one other type of animal, which can be written as the following fraction: So, the probability of a person being selected at random and on... | {
"domain": "statesindex.org",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.960361157495521,
"lm_q1q2_score": 0.8023659367611087,
"lm_q2_score": 0.8354835371034368,
"openwebmath_perplexity": 960.8429574463719,
"openwebmath_score": 0.3636991083621979,
"tags":... |
javascript, performance, ecmascript-6, physics
2. Reduce Callbacks.
You only asked to optimise the gravity function so this is just an extra.. If you put the following directly into your step() method you can instantly double the speed of the simulation. I found a physics time of 8.8 ms on average - Incorporating all ... | {
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"tags": "javascript, performance, ecmascript-6, physics",
"url": null
} |
c, socket
if(listen(socketId, 5) != 0)
{
socketError = failedListen;
close(socketId);
return -1;
}
return socketId;
}
int clientSocket(char const* host)
{
int socketId = socket(PF_INET, SOCK_STREAM, 0);
if (socketId == -1)
{
socketError = failedSocket;
r... | {
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"openwebmath_score": null,
"tags": "c, socket",
"url": null
} |
coordination-compounds, transition-metals, molecular-structure
This type of distortion is a case of Jahn–Teller distortion, very common in chemistry. | {
"domain": "chemistry.stackexchange",
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} |
$\displaystyle G(X) := \sup_{p_n, p_{n+1} \leq X} p_{n+1}-p_n$
between primes up to ${X}$ exhibited a lower bound of the shape
$\displaystyle G(X) \geq f(X) \log X \frac{\log \log X \log\log\log\log X}{(\log\log\log X)^2} \ \ \ \ \ (1)$
for some function ${f(X)}$ that went to infinity as ${X \rightarrow \infty}$; th... | {
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"openwebmath_perplexity": 4622.61496713103,
"openwebmath_score": 1.0000090599060059,
"tags": n... |
c#, game, monogame
Title: Simple dungeon generator I made a simple dungeon generator in C# using MonoGame that works by placing rooms in a grid and connecting them via "tunnels". I would like feedback on how this could be improved in terms of efficiency and code style. Also, please ignore the Render() function in Dung... | {
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"tags": "c#, game, monogame",
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} |
# Restrictions on the faces of a $3$-regular planar graph
I'm new here and I'm having difficulty with this graph theory question.
Suppose $G$ is a connected $3$-regular planar graph which has a planar embedding such that every face has degree either $5$ or $6$. I need to prove that $G$ has precisely $12$ faces of deg... | {
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"lm_q1_score": 0.9828232879690036,
"lm_q1q2_score": 0.8035312392207343,
"lm_q2_score": 0.8175744806385542,
"openwebmath_perplexity": 316.0538504267336,
"openwebmath_score": 0.8598938584327698,
"tag... |
newtonian-mechanics, newtonian-gravity, centripetal-force
So all we technically need is a long cable. But it might be more efficient to have a counterweight at the end. | {
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"tags": "newtonian-mechanics, newtonian-gravity, centripetal-force",
"url": null
} |
c, memory-management
void*
alloc(struct data_pool* pool, size_t len);
void
destroy_pool(struct data_pool* pool);
#endif
pool.c
#include <stdlib.h>
#include "pool.h"
#include "list.h"
#include <assert.h>
struct data_pool
make_pool(uint64_t page_size) {
struct data_pool pool;
pool.blocks = make_list(4);... | {
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"tags": "c, memory-management",
"url": null
} |
reaction-control, astrochemistry
All of this is kind of contrived, however. The point is that gravity will only really affect chemistry in how it organizes materials, but cannot affect the individual rates. | {
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"tags": "reaction-control, astrochemistry",
"url": null
} |
c#, calculator
Your current method had the following issues -
Listing multiple copies of the same number, but with different operations, would re-use only one of the operations (probably the first in the list).
You aren't sufficiently checking for array out-of-bounds errors - if numbers is longer than operators, yo... | {
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"openwebmath_score": null,
"tags": "c#, calculator",
"url": null
} |
c++, beginner, array, memory-management, signal-processing
Title: Perlin Noise Generator I'm porting a 2-D Terrain Generator from Python to C++ as Python is too slow due to the number of features that have been added.
I'm new to C++ and would like to know of any criticisms that you can make of the code at this time be... | {
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"openwebmath_score": null,
"tags": "c++, beginner, array, memory-management, signal-processing",
"url": null
} |
homework-and-exercises, forces, vectors, statics
Title: Projection of force
So to find the projection along the cable in question 124 we used CA (not AC). Why?
I thought that we always start from the end point of the Force, which is AC and not CA.
I thought that we always start from the end point of the Force, which... | {
"domain": "physics.stackexchange",
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"tags": "homework-and-exercises, forces, vectors, statics",
"url": null
} |
ros, moveit, baxter
[ INFO] [1456444741.756623440, 280.084000000]: Start state appears to be in collision with respect to group both_arms
[ WARN] [1456444742.559982065, 280.880000000]: Unable to find a valid state nearby the start state (using jiggle fraction of 0.050000 and 100 sampling attempts). Passing the origina... | {
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"openwebmath_score": null,
"tags": "ros, moveit, baxter",
"url": null
} |
c++, object-oriented, http, server, client
Creating a header for each class limits the number of files that need to be recompiled every time there is an edit to a particular class such as adding a method to a class or changing the parameters of a method.
and HTTPRequest.h could contain
#include <string>
#include <map>... | {
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"tags": "c++, object-oriented, http, server, client",
"url": null
} |
c++, median, constrained-templates
// else use selected strategy
return strategy(std::forward<Range>(values), compare, projection, midpoint);
}
auto project(std::indirectly_readable auto p) const -> decltype(auto)
{
return std::invoke(projection, *p);
}
};
... | {
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"openwebmath_score": null,
"tags": "c++, median, constrained-templates",
"url": null
} |
algorithm, objective-c, ios
- (void)setAlpha:(CGFloat)alpha {
opacity = alpha;
}
- (void)setStrokeWidth:(CGFloat)width {
strokeWidth = width;
}
@end
Looking at how long and unmanageable this code is makes me cringe, but also reminds me of how much I've learned since then.
What would you improve? You've dum... | {
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"openwebmath_score": null,
"tags": "algorithm, objective-c, ios",
"url": null
} |
java, websocket
This used to be a small and pretty simple class before I had to add RTT reporting to it. After that, some unobvious trade-offs and design choices had to be made. I'm mainly looking for opinions regarding these (they are documented in the comments starting with a phrase "design decision note") as I may ... | {
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"openwebmath_score": null,
"tags": "java, websocket",
"url": null
} |
quantum-mechanics, statistical-mechanics, temperature, hamiltonian, density-operator
Title: How do we determine what is the temperature (or beta or energy) of a quantum system? In statistical physics, we learn about the "inverse temperature of the system" as $\beta = \frac{1}{k_B T}$. Now in most cases we'd leave $\be... | {
"domain": "physics.stackexchange",
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"openwebmath_score": null,
"tags": "quantum-mechanics, statistical-mechanics, temperature, hamiltonian, density-operat... |
formal-languages, reference-request, formal-grammars, programming-languages
Throughout the rest of the answer, other examples of "exponential notation blow-up" are discussed, for example with Petri Nets in computational biology.
There are also other instances where mathematical notation is difficult to parse, for exam... | {
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"openwebmath_score": null,
"tags": "formal-languages, reference-request, formal-grammars, programming-languages",
"url": n... |
image-processing, neural-network
What's the best way to identify such table? I am currently thinking about training a neural network to identify the table. Should I use template matching or other methods instead? Which one is better? The simplest approach to this would be template matching via two-dimensional normalis... | {
"domain": "dsp.stackexchange",
"id": 3627,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "image-processing, neural-network",
"url": null
} |
mechanical-engineering, thermodynamics, convection
$h_{fr}$ is the heat convectivity coefficient between the fibre rod wall and the hole
$A_{fr} = \pi d_{fr} L_{fr}$ the exchange are between the fibre rod wall and the hole
$d_{fr}$ the diameter of the fiber rod
$L_{fr}$ the length of the fiber rod | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "mechanical-engineering, thermodynamics, convection",
"url": null
} |
filters, noise
Title: What is the difference between photon shot noise and salt and pepper noise? I am currently working on an application which deals with the restoration of fluorescent beads examined using widefield microscopy. There are two major sources of noises that are being encountered in the image: photon sho... | {
"domain": "dsp.stackexchange",
"id": 6246,
"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": "filters, noise",
"url": null
} |
graphs
Title: Find a negative cycle linearly? In a directed graph, if you find scc (strongly connected components), then for each negative edge, if its 2 vertices are in the same scc and that scc has size > 1, then there is a negative cycle with that edge, and is easy to find it with a simple dfs.
Is this approach cor... | {
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"id": 21843,
"lm_label": null,
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"lm_q1_score": null,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "graphs",
"url": null
} |
This is the graph of $f_1(x)$, $f_2(x)$,..., $f_5(x)$, from right to left. Note that the supremum is given by $\left(\frac{1}{n},f_n\left(\frac{1}{n}\right)\right)=\left(\frac{1}{n},\frac{1}{2}\right)$ and is moved to the left on each iteration, but always stays at 1/2.
• Thanks. Does this technique have a name? Maybe ... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9790357597935575,
"lm_q1q2_score": 0.8137187633096499,
"lm_q2_score": 0.831143045767024,
"openwebmath_perplexity": 121.17487264679937,
"openwebmath_score": 0.9274300336837769,
"tag... |
gazebo
<origin
xyz="0 0 0"
rpy="0 0 0" />
<geometry>
<mesh
filename="package://hdf_model/meshes/front_left_wheel_link.STL" />
</geometry>
</collision>
</link> | {
"domain": "robotics.stackexchange",
"id": 4142,
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"lm_name": null,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "gazebo",
"url": null
} |
newtonian-mechanics, kinematics, vectors
Now, if the velocity vector points North, and the object accelerates North as well, then it is natural that the velocity magnitude (the Speed) is increased.
Is acceleration south, then the speed will decrease (the vector is shortened).
Is acceleration pointing West or East, e... | {
"domain": "physics.stackexchange",
"id": 32116,
"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": "newtonian-mechanics, kinematics, vectors",
"url": null
} |
c#, design-patterns, file-system, asp.net-mvc, ddd
return $"{GetPermanentPrefix(imageUploaderNumber)}{title}-{GetIncrementalUniqueString()}{Path.GetExtension(fileName)}";
}
/// <summary>
/// Temporary images name should be generated using this pattern: tmp(uploaderNumber)-(TimeStamp-UniqueCode).(originalF... | {
"domain": "codereview.stackexchange",
"id": 35922,
"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": "c#, design-patterns, file-system, asp.net-mvc, ddd",
"url": null
} |
c++, game
if (bad_input) {
continue;
}
else {
return target_rooms;
}
}
}
}
main.cpp
#include <iostream>
#include "wumpus.h"
int main()
try {
wumpus::hunt_the_wumpus();
}
catch (std::runtime_error& e) {
std::cerr << e.what() << ... | {
"domain": "codereview.stackexchange",
"id": 31333,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c++, game",
"url": null
} |
electromagnetism, energy-conservation, classical-electrodynamics
Background
Poynting's theorem is defined mathematically (in differential form) as:
$$
\partial_{t} \left( w_{B} + w_{E} \right) + \nabla \cdot \mathbf{S} = - \mathbf{j} \cdot \mathbf{E} \tag{1}
$$
where $\partial_{t}$ is the partial time derivative, $w_{... | {
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"id": 28400,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "electromagnetism, energy-conservation, classical-electrodynamics",
"url": null
} |
php, object-oriented, mvc, controller
In practice it works because your dependency injection container builds all of your objects for you, and uses reflection to determine the dependency each object needs to do its job. So your controller would look like this:
class cart_controller{
public function __construct(ca... | {
"domain": "codereview.stackexchange",
"id": 28425,
"lm_label": null,
"lm_name": null,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "php, object-oriented, mvc, controller",
"url": null
} |
php, mysql, pdo, authentication
require_once 'forms/login_form.php';
//If not logged it, log the user in
if(isset($_POST['login'])){
$this->doLogin();
}
}
/**
*@bool Return true or false
* Note: This function repets in the other 2 classes
* I should probably m... | {
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"id": 9321,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "php, mysql, pdo, authentication",
"url": null
} |
ds.data-structures, tree
Has anyone written / designed a similar search algorithm before? No, this is not new; range searching with multilevel B-trees is completely standard. See, for example, the following surveys: | {
"domain": "cstheory.stackexchange",
"id": 1898,
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"tags": "ds.data-structures, tree",
"url": null
} |
python
With this definition, you can pass any variable to your function regardless of the name of that variable in the global scope.
The next thing to improve would be to replace the + str(i+1) bits and use format strings again when you print the user numbers:
if user_answers[i] == random_pc[i]:
print(f"Good Job... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python",
"url": null
} |
neural-networks, classification, objective-functions, pytorch
Title: Which loss / activation function with 2 classes that do not occur often and do not sum to one? I have a neural network that predicts 2 classes of a time series (bottom and top). Currenlty my Y labels are size 2: [1 0] for bottom and [0 1] for top. Th... | {
"domain": "ai.stackexchange",
"id": 3718,
"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": "neural-networks, classification, objective-functions, pytorch",
"url": null
} |
classification, clustering, reinforcement-learning
Title: Assistance needed on what machine learning approach to use
I'm currently writing my Master's Thesis on Subjective tagging of sounds and I feel that I've been stuck with the same problem for quite a time now and need assistance to progress. I'll, in short, desc... | {
"domain": "datascience.stackexchange",
"id": 6793,
"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": "classification, clustering, reinforcement-learning",
"url": null
} |
java, xpath
Title: Java xPath: simple expression evaluation This code is using XPath to expose a library function that can check whether an XML file contains a string or an expression:
private XPath xPath = XPathFactory.newInstance().newXPath();
public boolean applyFilter(String xml, String xPathExpression) {... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, xpath",
"url": null
} |
symmetry, field-theory, gauge-theory, gauge-invariance, interactions
\begin{align}
V\rightarrow V'&=V-\frac{1}{c}\partial_t \chi\\
\vec{A}\rightarrow \vec{A}'&=\vec{A}+{\nabla}\chi
\end{align}
where $\chi=\chi(t,\vec{r})$. But you can show that $(1)$ is not invariant under these transformations; extra terms will appea... | {
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"id": 68334,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "symmetry, field-theory, gauge-theory, gauge-invariance, interactions",
"url": nu... |
machine-learning, scikit-learn, cross-validation, sampling, class-imbalance
Title: Cross validation for highly imbalanced data with undersampling In my problem, I am dealing with a highly imbalanced data set, say for every positive class there are 10000 negative one. A normal starting method to train a model is to und... | {
"domain": "datascience.stackexchange",
"id": 4558,
"lm_label": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "machine-learning, scikit-learn, cross-validation, sampling, class-imbalance",
... |
special-relativity, metric-tensor, coordinate-systems, inertial-frames, group-theory
As an aside: it is important for $g$ to be non-degenerate, because otherwise this can fail very badly: just take $g=0$ then any function will preserve $g$, but of course not every function is linear. For a slightly less-trivial exampl... | {
"domain": "physics.stackexchange",
"id": 80178,
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"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "special-relativity, metric-tensor, coordinate-systems, inertial-frames, group-theo... |
c++, object-oriented, c++11, design-patterns, pointers
return curr;
}
shared_ptr<Bst::node> Bst::findmin(shared_ptr<node> curr)
{
while (curr->left)
curr = curr->left;
return curr;
}
shared_ptr<Bst::node> Bst::_del(shared_ptr<node> curr, int val)
{
if (val < curr->val)
curr->left = _del(cur... | {
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"id": 33400,
"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": "c++, object-oriented, c++11, design-patterns, pointers",
"url": null
} |
ros, ros-melodic
Appreciate kind advice how to deal with the nvidia driver problem.
Thank you
Originally posted by Eric Dong on ROS Answers with karma: 23 on 2019-04-27
Post score: 2
Hi,
I am not sure if I had the exact same issue as you, but I did have issues having rviz operate with docker. What I had to do was al... | {
"domain": "robotics.stackexchange",
"id": 32949,
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"tags": "ros, ros-melodic",
"url": null
} |
a surjective function are identical. We also use third-party cookies that help us analyze and understand how you use this website. We write the bijection in the following way, Bijection = Injection AND Surjection. Definition of Bijection, Injection, and Surjection 15 15 football teams are competing in a knock-out tourn... | {
"domain": "ineas.org",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9857180690117798,
"lm_q1q2_score": 0.8012580006673342,
"lm_q2_score": 0.8128673155708975,
"openwebmath_perplexity": 585.349544531056,
"openwebmath_score": 0.7390031814575195,
"tags": null,... |
image-processing, filters, opencv
Python code below
And here.
import cv2
import matplotlib.pyplot as plt
# read image
image = cv2.imread('example.jpg', cv2.IMREAD_COLOR)
image = image[1:1440:20,1:1440:20,:]
RGB_img = cv2.cvtColor(image, cv2.COLOR_BGR2RGB)
plt.figure(1)
plt.imshow(RGB_img)
print("Hello")
x0 = bilater... | {
"domain": "dsp.stackexchange",
"id": 10667,
"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, filters, opencv",
"url": null
} |
java, cryptography
/**
* <h1>String Encrypter</h1>
*
* This programs allows you encrypt a string and store as a byte array.
* the program provides a simple encryption set of methods which make use of
* scrambling/adding/replacing/swapping/ the core structure of the string.
* The encrypted message is the store as... | {
"domain": "codereview.stackexchange",
"id": 21555,
"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": "java, cryptography",
"url": null
} |
general-relativity, special-relativity, spacetime, topology
Title: Nature of the elements of spacetime? I am learning about relativity and am not quite sure how to think of spacetime. From a mathematical perspective, spacetime is a manifold i.e. a topological space for which about any point there exists an open neighb... | {
"domain": "physics.stackexchange",
"id": 52975,
"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": "general-relativity, special-relativity, spacetime, topology",
"url": null
} |
java, beginner, android, http, singleton
Title: Implementation of an OkHttp singleton for Android I'm new to Android programming. I am going to make lots of HTTP requests: 500, 1k, 2k, 10k.
I have tried to create a singleton class for OkHttp. I wrote this:
public class OkSingleton extends OkHttpClient {
private stat... | {
"domain": "codereview.stackexchange",
"id": 30913,
"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": "java, beginner, android, http, singleton",
"url": null
} |
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