text stringlengths 1 1.11k | source dict |
|---|---|
performance, ruby, ruby-on-rails, mvc
if @post_comment.save
((@post.users + [@post.user]).uniq - [current_user]).each do |post_commenter|
Notification.create(recipient_id: post_commenter.id, sender_id: current_user.id, notifiable: @post_comment.post, action: "commented")
end
....
end First of all... | {
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Similarly there are:
- $42$ factors divisible by $10$
- $32$ factors divisible by $21$
- $48$ factors divisible by $12$ (which are all also divisible by $6$, so we do not need to track these)
In the same way, we can find the count of factors that are divisible by both $6$ and $10$ - meaning they are divisible by $30$.... | {
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"openwebmath_score": 0.5947373509407043,
"tag... |
special-relativity, time, time-dilation, thought-experiment
Title: Why is the photon clock equivalent to all clocks? I can understand why, if the speed of light is invariant, a photon clock would tick slower. I find this explanation very useful in terms of introducing the idea of time dilation (also because it allows ... | {
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"tags": "special-relativity, time, time-dilation, thought-experiment",
"url": null
} |
scala, palindrome
May I know is there any way to improve it? What you do is very inefficient. You check if the elements of the list are similar from the outside in, and that too utilising both very unintuitive pattern matching and guard clauses.
Note: You do not need to specify the type parameter A in the recursive ca... | {
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java, parsing, generics
You're doing verbing in the constructor, which is a bad sign. It suggests that Parser is (at different times) responsible for parsing the file and acting as a value type. Those are two different concerns, and should have two different representations.
Another bad sign is that you are creating... | {
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-
Thank you! I'm losing count of how many times your genius has saved my ass! – user26649 Jul 11 '12 at 3:30
@Riddler: Thank you for the kind words. Related to your question (which was actually deeply troubling to mathematicians for about 100 years), see this, this, and this. – Arturo Magidin Jul 11 '12 at 3:33
Formal... | {
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What I think I got right.
• $E(X) = 0.6$
• $E(Y) = 0.9$
• $E(X^2) = 0.6$
• $E(Y^2) = 1.5$
• $X$ and $Y$ are not independent
I am also definitely mixing when I can use what formula and when I can't.
• $E(W^2) = 1.3$
• $Var(W)=1.21$
• Need more information about the relationship between $X$ and $Y$. Also what is the f... | {
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"openwebmath_score": 0.8963766694068909,
"tags"... |
newtonian-mechanics, pressure, fluid-statics, home-experiment
Title: Inverted Pascal's barrel Pascal's barrel is an experiment that shows the counterintuitive nature of how pressure increases linearly in depth according to $p=p_0+\rho gz$, where $z$ is the depth. The experiment consists of a barrel and a long hosed at... | {
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"tags": "newtonian-mechanics, pressure, fluid-statics, home-experiment",
"url": null
} |
vba, excel
End Sub
'EvaluateField needs a better name
Private Sub EvaluateField(wsLot As Worksheet, wsReg As Worksheet, wsErr As Worksheet, field As Long, ErrorLastRow As Long)
On Error Resume Next
With wsReg.Range("A7:AD" & RegisterNoError)
.AutoFilter field:=field, Criteria1:="FAIL"
.SpecialCells... | {
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"tags": "vba, excel",
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ros, ros-hydro, xacro
<xacro:foo chassis_length="$(arg chassis_length)">
Originally posted by lucasw with karma: 8729 on 2014-01-07
This answer was ACCEPTED on the original site
Post score: 2 | {
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Above the curve, the fixed point is an attractor. In particular that is always true for $$a > e$$. However, $$a=c=1$$ is right on the curve, and it's not clear whether the fixed point would be an attractor in that case (it turns out that it isn't, by taking higher derivatives into account). If $$(a,c)$$ is below the cu... | {
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"ta... |
# find a maximum parameter for a range of target eigenvalues as a function of matrix dimension
I have a symbolic tridiagonal matrix of this form
a = 0;
c = 0.25;
sa1[b_] :=SparseArray[{Band[{1, 1}] -> a,
Band[{2, 1}, {2 l, 2 l}] -> {I b/4, I c},
Band[{1, 2}, {2 l, 2 l}] -> {-I b/4, -I c}}, {2 l, 2 l}];
where a and ... | {
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"lm_q1_score": 0.9787126469647338,
"lm_q1q2_score": 0.806911312175002,
"lm_q2_score": 0.8244619242200082,
"openwebmath_perplexity": 6684.324316318243,
"openwebmath_score": 0.18420441448688507,
"tag... |
homework-and-exercises, error-analysis, statistics
The wrinkle in my calculation is that I assume that the errors in B, M and N are independent. Since M and N are functions of B that isn't strictly true.
(I asked in a comment on the question for more information on B - don't know if that information will be shared or ... | {
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} |
If the probability of not guessing the correct answer to this question is 2/3, then x = A. Find the probability of guessing an incorrect answer. exam and will just randomly guess at all answers (with True and False equally likely). In any case, the probability of getting a given question right is the probability of kno... | {
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"lm_q1q2_score": 0.8248603553577103,
"lm_q2_score": 0.8397339716830605,
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"openwebmath_score": 0.7561070919036865,
... |
$$\begin{cases} x= a_1 \mod m_1 \\ \hphantom{W}\vdots \\ x= a_t \mod m_t \end{cases}$$
has a unique solution modulo $$m = m_1\cdots m_t$$. The algorithm you followed to find solutions is indeed correct, and is one way of approaching your problem.
Another quicker way goes as follows:
1. from $$x^2=9\mod 17$$ you get ... | {
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"openwebmath_perplexity": 124.81413650126593,
"openwebmath_score": 0.9100116491317749,
"tags... |
crystal-structure
I initially though perhaps my calculations or initial data gathered were incorrect but even after triple-checking them there was no error. Looking for possible structures of Calcium Acetate there was only one image that looked somewhat like the crystal sprouting at the center of the beaker, but still... | {
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"tags": "crystal-structure",
"url": null
} |
electromagnetism, electric-circuits, electromagnetic-induction, inductance
In general, an inductor consists of a coil that produces a magnetic field perpendicular to that coil, regardless of how the inductor is oriented with respect to the rest of the circuit, so it will produce magnetic flux through a surface enclose... | {
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"tags": "electromagnetism, electric-circuits, electromagnetic-induction, inductance",
"ur... |
ros-kinetic, roscpp
#include <navfn/navfn_ros.h> // packageName/headerFile.h
#include "GA_planner/GA_global_planner_ros.h"
Gives me error:
fatal error: GA_global_planner_ros.h: No such file or directory
#include "GA_global_planner_ros.h"
This is the package .xml and cMakeLists.txt for both GA_planner and ros_global_... | {
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"tags": "ros-kinetic, roscpp",
"url": null
} |
java, performance, programming-challenge, bitwise, stream
has binary representation 10000010001 and so its longest binary gap is
of length 5.
Assume that:
N is an integer within the range [1..2,147,483,647]. Complexity:
expected worst-case time complexity is O(log(N)); expected worst-case
space complexity is O(1). | {
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"tags": "java, performance, programming-challenge, bitwise, stream",
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homework-and-exercises, classical-mechanics, gravity, orbital-motion
Hello. I have a major trouble understanding this question. How do we know that the space shuttle passes throught the point P after losing speed ? Also, the lower orbits must have greater speeds. Doesn't that mean the pilot must increase the shuttle's... | {
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"url": nu... |
According to Shakarri's advice, denote 1.06 by r and 2000 by a and write A0, A1, A2 and A3 explicitly through a and r only and without using any parentheses. Is the result a geometric progression? If so, what are its initial term and ratio?
• May 17th 2013, 05:51 AM
Soroban
Re: Geometric series and their application to... | {
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"tag... |
quantum-spin, superconductivity
While $^4He$ is a boson, $^3He$ with three rather than four nucleons
is a fermion, and superfluid $^3He$ is formed by condensation of
Cooper pairs of $^3He$ atoms (or more precisely of “quasiparticles” of
atoms each with a surrounding cloud of other atoms) that have internal
degrees of ... | {
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"tags": "quantum-spin, superconductivity",
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} |
of y 2 2x is at. Low-Dimensional vector space relation in this example has two self loops, one over and the other over component! Any symmetries, if any, for the displayed graph, the y-axis, both, or a... Both, or 0is a core implementation of symmetric binary relation data type points. Methods to model diverse relation... | {
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"lm_q1_score": 0.9766692264378963,
"lm_q1q2_score": 0.8502855508379554,
"lm_q2_score": 0.8705972583359805,
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"openwebmath_score": 0.5653567910194397,
"tags"... |
Thanks a lot for clearing my misunderstanding.
Let's have a look at right side derivative (look at left side would be similar).
You're right that the definition of the right derivative at $$a$$ is
$$f^\prime(a^+)=\lim\limits_{h \to 0^+} \frac{f(a+h)-f(a)}{x-a}.$$
The trick is that when $$f^\prime$$ is right continu... | {
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"lm_q1q2_score": 0.8294510061172631,
"lm_q2_score": 0.8596637541053281,
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"openwebmath_score": 0.9443186521530151,
"ta... |
electricity, everyday-life, home-experiment
Title: Why does shorting two cells in series heat them up? I tried this with two 9V batteries that you can interlock easily and they heat up a lot. Why does this happen? The internal resistance of the batteries would be quite small so why would they still heat up a lot due t... | {
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"openwebmath_score": null,
"tags": "electricity, everyday-life, home-experiment",
"url": null
} |
newtonian-mechanics, pressure, fluid-statics
Why this isn't the case?
What happens in reality then? I discussed this question with John Rennie sir over here and he explained it quite wonderfully. This is a summary of that discussion.
Even when we place the inverted tube filled with mercury whose height is less than ... | {
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"tags": "newtonian-mechanics, pressure, fluid-statics",
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} |
cosmology, astrophysics, integration, estimation, error-analysis
I just need help to justify clearly how we get better accuracy (smaller variance) by integrating.
If someone could tell how to proceed to prove that, or just gives elements/tracks of answers.
UPDATE 1: to justify the choice of taking the integral instead... | {
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"tags": "cosmology, astrophysics, integration, estimation, error-analysis",
"url": null
} |
c#, beginner, http, network-file-transfer, reddit
if (imageURL.Contains(".gifv"))
{
imageURL = imageURL.Replace(".gifv", ".mp4");
}
Console.WriteLine("Downloading {0}", imageURL);
string[] splitURL = imageURL.Split('/');
int index = splitURL.... | {
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"openwebmath_score": null,
"tags": "c#, beginner, http, network-file-transfer, reddit",
"url": null
} |
c#, design-patterns, entity-framework
public virtual IQueryable<T> FindAllBy<T>(Expression<Func<T, bool>> predicate) where T : class
{
if (predicate != null)
{
using (DataContext)
{
return DataContext.Set<T>().... | {
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"tags": "c#, design-patterns, entity-framework",
"url": null
} |
java, object-oriented, design-patterns, dice
};
}
public Strategy createStartRollStrategy() {
return new ContinueStrategy() {
@Override
public void apply(YahtzeeGame game) {
LOGGER.debug("apply strategy: roll for the first time...");
roll(game);... | {
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"tags": "java, object-oriented, design-patterns, dice",
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} |
turtlebot, ros-fuerte
process[openni_launch-3]: started with pid [8772]
[kinect_laser-5] process has died [pid 8632, exit code 255, cmd /opt/ros/fuerte/stacks/nodelet_core/nodelet/bin/nodelet load pointcloud_to_laserscan/CloudToScan openni_manager cloud:=/cloud_throttled __name:=kinect_laser __log:=/home/turtlebot/.ro... | {
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"id": 10995,
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"openwebmath_score": null,
"tags": "turtlebot, ros-fuerte",
"url": null
} |
statistical-mechanics, temperature, ground-state
$$
p_{ij}(\beta) = \frac{g_ie^{-\beta E_i}}{g_je^{-\beta E_j}} = \frac{g_i}{g_j}e^{-\beta(E_i - E_j)}
$$
In particular, let $i=0$ correspond to the ground level, then the frequency of any level relative to the ground level is
$$
p_{i0}(\beta) = \frac{g_i}{g_0}e^{-\b... | {
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"tags": "statistical-mechanics, temperature, ground-state",
"url": null
} |
definition, oscillators, vibrations, coupled-oscillators, normal-modes
$$y(x,t) = \sum_{n=-\infty}^{+\infty}A_n(\exp{ik_n(x+vt)} + \exp{ik_n(x-vt)})$$
that is a sum of functions of $x-vt$ and $x+vt$ as required for the solution.
Each $k_n$ defines a normal mode with an angular frequency $$\omega = k_n v = \frac{2\pi n... | {
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"tags": "definition, oscillators, vibrations, coupled-oscillators, normal-modes",
"url": ... |
electromagnetism, electric-circuits, approximations, conservative-field
Title: Conservative $E$-field and Kirchoff rule in practice In undergrad physics, when analyzing an LR circuit, it is often considered that Kirchoff rule holds. However, as far as I understand, Kirchoff rule only holds when E field is conservative... | {
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"tags": "electromagnetism, electric-circuits, approximations, conservative-field",
"url":... |
beginner, python-3.x, hangman
print("\nYou have %d guesses left." % guesses_remaining)
get_available_letters(letters_guessed)
letter = str.lower(input("Please guess a letter: "))
if not letter or letter not in string.ascii_lowercase:
if warnings_remaining != 0:
... | {
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"openwebmath_score": null,
"tags": "beginner, python-3.x, hangman",
"url": null
} |
combinatorics, recurrence-relation
So, I asked a total of 7 questions to find the location of 1 in a binary word of 0000 0001. Similarly, we will go through other binary words. Here is how to calculate the cost of the algorithm. Start with the bit vector $x$, and consider the following operation $O$, which divides $x$... | {
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"tags": "combinatorics, recurrence-relation",
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} |
moveit, clion, cmake, catkin
Original comments
Comment by mgruhler on 2018-01-09:
Did you source your ROS Environment? Do you build with catkin_make or catkin build?
Comment by blightzyear on 2018-01-09:
What do you mean with source your ROS Environment? I have builded the testproject with catkin build.
YS
Comment by ... | {
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java, game, minesweeper
@Override
public void actionPerformed(ActionEvent e) {
for (int x = 0; x < BOARD_HEIGHT; x++) {
for (int y = 0; y < BOARD_WIDTH; y++) {
if (e.getSource() == btn[x][y]) {
btn[x][y].removeActionListener(this);
if (min... | {
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"tags": "java, game, minesweeper",
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Formula (1) is clearly $$(m+1)^n$$ times a polynomial, it remains to check that the polynomial has degree at most $$m-1$$. We must check that $$A_{m,b}$$ is empty if $$b \geq m$$. Indeed, since every black vertex has degree at least $$2$$, a forest in $$A_{m,b}$$ has at least $$2b$$ edges. But, since it is a forest, it... | {
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"openwebmath_score": 0.9416841864585876,
"tag... |
Distribution
Though the two bar charts cover the same categories, there is an important difference between them. Read the Note that the Pew Research Center included below the graphs.
The chart on the right displays the answer to a question that asked which one of the platforms was most commonly used by the teen respo... | {
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"lm_q1_score": 0.9805806540875628,
"lm_q1q2_score": 0.8234268891789893,
"lm_q2_score": 0.8397339736884711,
"openwebmath_perplexity": 506.62407990572325,
"openwebmath_score": 0.7218981981277466,
"tags": nu... |
python, json, gui, tkinter, ftp
This will raise a syntax error, because there must be indented code after except ImportError. However you can just put pass in there to tell Python to do nothing while still satisfying the syntax requirement. But if you have actual code in there, like your print, then there's no longer ... | {
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"tags": "python, json, gui, tkinter, ftp",
"url": null
} |
ros, messages, best-practices
Originally posted by Laxnpander on ROS Answers with karma: 31 on 2017-04-10
Post score: 2
I assume that you send a sensor_msgs/Image. In this case you could publish your additional information with (exactly) this timestamp and use a message_filter with the ExactTime Policy (7.2) in your ... | {
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Height The maximum height of the object in projectile motion depends on the initial velocity, the launch angle and the acceleration due to gravity. Determine the initial velocity of a ball launched horizontally Predict and verify the rang View more. Q3: What is the maximum height of the projectile? Explain the theoreti... | {
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"openwebmath_score": 0.5885403752326965,
"tags": n... |
ros2, catkin, ros-bouncy
Title: Ignore package in colcon but not catkin?
catkin ignores packages when they have COLCON_IGNORE in them. (https://github.com/ros-infrastructure/catkin_pkg/blob/35137d5522fc4b4140bf24d4d35373a1ff74e4e9/src/catkin_pkg/packages.py#L47)
I'd like to have ros1 and ros2 packages in parallel in ... | {
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"url": null
} |
gazebo, moveit, ros-kinetic, husky
joint3_position:
type: effort_controllers/JointPositionController
joint: joint3
pid: {p: 6000.0, i: 0.1, d: 400.0}
joint4_position:
type: effort_controllers/JointPositionController
joint: joint4
pid: {p: 6000.0, i: 0.1, d: 400.0}
joint5_position:
typ... | {
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"tags": "gazebo, moveit, ros-kinetic, husky",
"url": null
} |
c++, c++11, adventure-game
struct Player {
Location location;
// ...other stuff, like inventory and so on...
} player;
void newGame() {
player.location = GRAND_ABYSS;
}
void travel(Location newloc) {
player.location = newloc;
describe_surroundings();
}
Okay, so now we have all the mechanics that... | {
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} |
(a) What is the probability that Bob will guess the coin correctly using the decision rule from part 2?
(b) Suppose instead that Bob tries to guess which coin he received without tossing it. He still guesses the coin in order to minimize the probability of error. What is the probability that Bob will guess the coin co... | {
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"tags": nul... |
data-structures, arrays, virtual-memory
Rather than looking for a better data structure to handle this kind of arbitrarily-bad fragmentation, a cleaner solution is probably to design your memory management system to avoid creating worst-case memory fragmentation in the first place. One architecture that can help deal... | {
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"tags": "data-structures, arrays, virtual-memory",
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vectors, coordinate-systems, linear-algebra
$$x_1 \vec{e_1} + x_2 \vec{e_2} + x_3 \vec{e_3}$$
$$y_1 \vec{e_1'} + y_2 \vec{e_2'} + y_3 \vec{e_3'}$$
How, would I compute their dot product? In particular, is there a more formal/abstract/generalized definition of the dot product (that would allow me to compute $\vec{e_1} ... | {
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the concept of compactness. Still other texts state the Bolzano-Weierstrass Theorem in a slightly di erent form, namely: Theorem 2 (Bolzano-Weierstrass Theorem, Version 2). Brabantse Ontwikkelings Maatschappij (Dutch: Brabant Development Agency; Brabant, Netherlands) BOM. The Bolzano-Weierstrass Theorem is a more advan... | {
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"openwebmath_score": 0.8232946991920471,... |
calc
how to do the integral of
(ln(x))/(x^2)
1. 👍
2. 👎
3. 👁
1. Try integration by parts.
Let u = ln x
du = dx/x
dv = 1/x^2 dx
v = -1/x
Integral of lnx/x^2 = Integral of udv
= uv - Integral of vdu
= -(ln x)/x - Integral of -dx/x^2
Take it from there, but check my work also
1. 👍
2. 👎
Similar Questions
1. Calcul... | {
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"openwebmath_score": 0.9644732475280762,
"tags": nul... |
python, catkin, dynamic-reconfigure
Originally posted by gvdhoorn with karma: 86574 on 2016-03-10
This answer was ACCEPTED on the original site
Post score: 6
Original comments
Comment by Falko on 2016-03-10:
Oh wow, @gvdhoorn! It just was the typo "pig" instead of "pid"! Thanks so much! Now it's compiling (without ad... | {
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"tags": "python, catkin, dynamic-reconfigure",
"url": null
} |
gravity, energy, gravitational-waves, ligo
I'm looking for something carefully worked out and published, and not interested in any discussion of practicality. Feynman gave an argument of beads on a string or rod. The passage of a gravitational wave would cause the beads to move in a way similar to the arms of the LIGO... | {
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"tags": "gravity, energy, gravitational-waves, ligo",
"url": null
} |
php, html, classes, form, php7
$html = '';
$type = null;
// accommodate fringe case tag names
if (!in_array($tag_name, $this->form_elements)) {
$found = false;
foreach ($this->form_elements_types as $sub_element => $sub_types) {
if (in_array($tag_name, $sub_types)) {
... | {
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"openwebmath_score": null,
"tags": "php, html, classes, form, php7",
"url": null
} |
c#, xml, error-handling, network-file-transfer, ssh
As observed, the classes are static. I felt they are more of utility classes and placed them all in Helpers folder. So, is it advisable to use static classes this way or shall I shift to normal classes?
By having static classes and methods, do I run into threading is... | {
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"tags": "c#, xml, error-handling, network-file-transfer, ssh",
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01 Divided Difference 1. The SI unit of force is Newton (N). 3 Lagrange Polynomial Interpolation Example. Determine the. Newton's forward difference formula is a finite difference identity giving an interpolated value between tabulated points in terms of the first value and the powers of the forward difference. f'(x 0)... | {
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"lm_q1_score": 0.9857180685922242,
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"lm_q2_score": 0.8198933425148213,
"openwebmath_perplexity": 1146.4404937222164,
"openwebmath_score": 0.764614224433... |
algorithms, complexity-theory, np-complete
Title: The extent of NP-Completeness I am told that if a decision problem that is in NP Complete can be solved in polynomial time, then P=NP. However, would this mean that we would instantly have an algorithm to solve any NP problem. Like if someone solved the traveling sales... | {
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"tags": "algorithms, complexity-theory, np-complete",
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ros
> registered:
> Publisher<PublisherDefinition<PublisherIdentifier<NodeIdentifier</android,
> http://192.168.1.62:56484/>,
> TopicIdentifier</rosout>>,
> Topic<TopicIdentifier</rosout>,
> TopicDescription<rosgraph_msgs/Log,
> acffd30cd6b6de30f120938c17c593fb>>>>
> I/Registrar( 4394): Registering
> subscriber:
> Sub... | {
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"tags": "ros",
"url": null
} |
file-system, shell, embedded, sh
Title: Shell Script Image Replication I have a shell script which is being used on an embedded human machine interface (HMI). This script is used to copy a few files from a USB stick to a different place on the device, but with multiple instances of the same file under different names.... | {
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"tags": "file-system, shell, embedded, sh",
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• The problem is that since $x$ and $v$ are dependent variables, they may not be unique in the $\langle0;t\rangle$ interval, so anything expressed as depending on them (the implied $1(x)$ and $1(v)$) may not even be functions and therefore you can't integrate them in the strict sense. The symbolic manipulation with the... | {
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"lm_q2_score": 0.8418256412990657,
"openwebmath_perplexity": 236.51586507277807,
"openwebmath_score": 0.9305036664009094,
"ta... |
algorithms, optimization, dynamic-programming, integer-programming, assignment-problem
Define
$$M[i] = \max(T[i,1],\dots,T[i,n]).$$
We obtain the improved recurrence
$$T[i,j] = c_{ij} + \max(T[i+1,j], M[i+1] - p).$$
We'll fill in the $T[i,\cdot]$ and $M[i]$ values simultaneously, in order of decreasing $i$. Once we'... | {
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"tags": "algorithms, optimization, dynamic-programming, integer-programming, assignment-problem",... |
• When you contacted your teacher, did you present your argument as clearly as you did here? – Fabio Somenzi Nov 23 '18 at 2:22
Ani needs to be have two more points than Bertha exactly on the eighth game (not earlier, and never two less). She does not just need to win two games in a row, but to be tied then win the la... | {
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"lm_q1q2_score": 0.8494453839503469,
"lm_q2_score": 0.8633916047011594,
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"openwebmath_score": 0.6398769617080688,
"tag... |
object-oriented, array, vba
' exact, excluse and between checks
If Not pFiltersCollection Is Nothing Then
For Each filter In pFiltersCollection
currentFilterType = filter(1)
Select Case currentFilterType
Case negativeMatch
... | {
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"tags": "object-oriented, array, vba",
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} |
error-correction, stabilizer-code
From an engineering perspective, it is important to decide on a standardized list of basic units of quantum computation (state preparation, gates, measurement-observables/basis), etc. Performing Clifford gates makes for a convenient choice on that list because of multiple reasons (mos... | {
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"openwebmath_score": null,
"tags": "error-correction, stabilizer-code",
"url": null
} |
python, hash-map
Combining this with Winston's suggestion you get the following definition
def triples(self, (s, p, o)):
try:
args = (int(s != None), int(p != None), int(o != None))
if args in [(1, 1, 1), (1, 1, 0), (1, 0, 0), (0, 0, 0)]:
lookat = self._spo
a1 = s; a2 = p;... | {
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"openwebmath_score": null,
"tags": "python, hash-map",
"url": null
} |
# If $f_k(x)=\frac{1}{k}\left (\sin^kx +\cos^kx\right)$, then $f_4(x)-f_6(x)=\;?$
I arrived to this question while solving a question paper. The question is as follows:
If $f_k(x)=\frac{1}{k}\left(\sin^kx + \cos^kx\right)$, where $x$ belongs to $\mathbb{R}$ and $k>1$, then $f_4(x)-f_6(x)=?$
I started as | {
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"lm_q2_score": 0.8615382094310357,
"openwebmath_perplexity": 1466.9264245132713,
"openwebmath_score": 0.9782208800315857,
"ta... |
php, mysql, pdo, sql-injection
See a list of attributes that you can set, either by passing them as an assoc array to the constructor, or by calling PDO::setAttribute.
Pokémon Exception Handling
At the moment, you're just blindly catching any of the possible PDOExceptions that might be thrown. This is called Pokémon E... | {
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"openwebmath_score": null,
"tags": "php, mysql, pdo, sql-injection",
"url": null
} |
bond, spectroscopy, molecular-orbital-theory, hybridization
The bold face portion seems to support my contention (if I'm understanding it correctly) that it is the energy differences between the ground state and the excited state that is responsible for the spectrum. Therefore, orbital splitting and orbital degenerac... | {
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"openwebmath_score": null,
"tags": "bond, spectroscopy, molecular-orbital-theory, hybridization",
"url": null
} |
formal-languages, regular-expressions
Title: Constructing regular expressions with given substring requirments I'm having trouble with this question about regular expressions:
Let $L_1$ be the language of passwords containing at least one
lowercase letter, at least one uppercase letter, and at least one
number. W... | {
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"tags": "formal-languages, regular-expressions",
"url": null
} |
Second question: The formula you mention is pretty easy to derive. Let's define $S_n = a+ar+ar^2+ar^3 + \ldots + ar^n$. It should be clear that this is a geometric sum with common ratio $r$. Now multiply $S_n$ by $r$ to get $rS_n = ar+ar^2+ar^3+\ldots ar^{n+1}$. We will subract $S_n$ from $rS_n$ to solve for $S_n$ so t... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9740426428022032,
"lm_q1q2_score": 0.8030610757582142,
"lm_q2_score": 0.8244619285331332,
"openwebmath_perplexity": 141.67931925286697,
"openwebmath_score": 0.9183456897735596,
"ta... |
thermal-radiation
Title: Is the emitted spectrum is that of a blackbody when the blackbody is in thermal equilibrium with the ambient or with its interior or either? I have came across the following paragraph in Wikipedia
A perfectly insulated enclosure which is in thermal equilibrium internally contains blackbody ra... | {
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"tags": "thermal-radiation",
"url": null
} |
discrete-signals, fourier-transform, python, wavelet, aliasing
And so, you have a phase shift between the signal you get and the one you want of 1/2 your sample length.
The easiest solution to visualise your signal is just to shift the first and last part of your signal, by using for example:
S_desired_time = np.fft.i... | {
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"tags": "discrete-signals, fourier-transform, python, wavelet, aliasing",
"url": null
} |
java, object-oriented, multithreading, factory-method, static
Factory
Consider using an enum rather than a raw String for the account. Perhaps you need the flexibility of a string, however if you can use an enum it makes typo's less likely and removes the need for your 'else' conditions.
Generally speaking, when you ... | {
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"tags": "java, object-oriented, multithreading, factory-method, static",
"url": null
} |
performance, comparative-review, swift, combinatorics
Now we're no longer paying for the cost of an array copy at each iteration due to the fact that the iterator always has a single view onto the array's buffer (though the current property), reducing my benchmark time down to ~0.1 seconds (the target is ~0.02 seconds... | {
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"openwebmath_score": null,
"tags": "performance, comparative-review, swift, combinatorics",
"url": null
} |
homework-and-exercises, electrostatics, electric-fields, vectors, coulombs-law
EDIT (9/18/2016): So let us calculate the $x$-component of the field at point $[-\frac{1}{2},0]$, assuming each charge equals +1. The distance from this point to the left bottom charge is $\sqrt{1+\frac{1}{4}}=\frac{\sqrt{5}}{2}$, the relev... | {
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"tags": "homework-and-exercises, electrostatics, electric-fields, vectors, coulombs-law",
... |
python, algorithm
return res
#Only print the partitions of length x
resultado=particion(n)
for i in range(0,len(resultado)):
if len(resultado[i])==x:
print(resultado[i]) First a technical note. In mathematics, 2+3 is the same partition as 3+2. The right name for what you are looking for are combinations... | {
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"tags": "python, algorithm",
"url": null
} |
We use the notation $X_1 \cong X_2$ to mean that the spaces $X_1$ and $X_2$ are homeomorphic. Then we have:
$C_p(L_\tau) \ \cong \ W_0 \times \mathbb{R} \ \cong \ (\Sigma_{\alpha<\tau}\mathbb{R}) \times \mathbb{R} \ \cong \ \Sigma_{\alpha<\tau}\mathbb{R}$
Thus $C_p(L_\tau) \ \cong \ \Sigma_{\alpha<\tau}\mathbb{R}$. T... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9899864317403413,
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"openwebmath_perplexity": 87.30319509008908,
"openwebmath_score": 0.9752418994903564,
"tags": n... |
c++, c++11, tic-tac-toe
else if (m_board.at(0).at(1) == key && m_board.at(1).at(5) == key && m_board.at(2).at(9) == key) {
std::cout << key << " is the winner" << std::endl;
return true;
}
else if (m_board.at(2).at(7) == key && m_board.at(1).at(5) == key && m_board.at(0).at(3) =... | {
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"openwebmath_score": null,
"tags": "c++, c++11, tic-tac-toe",
"url": null
} |
filters, python, fast-convolution
Title: Amplitude not attenuated after bandpass filtering? I want to make a bandpass filter for an IQ signal recorded from an Software Defined Radio with center frequency "Fc" & sampling frequency "Fs". For futhur analysis I wanted to focus upon signal received between a fixed frequenc... | {
"domain": "dsp.stackexchange",
"id": 5244,
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"openwebmath_score": null,
"tags": "filters, python, fast-convolution",
"url": null
} |
machine-learning, data-mining, algorithms, neural-network
Title: How to use neural networks with large and variable number of inputs? I'm new to machine learning, but I have an interesting problem. I have a large sample of people and visited sites. Some people have indicated gender, age, and other parameters. Now I wa... | {
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"id": 55,
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"openwebmath_score": null,
"tags": "machine-learning, data-mining, algorithms, neural-network",
"url": null
} |
c++, file
Edit: As someone asked, here is the entire repo
https://github.com/lkelly93/coderunner Rather than system() you should popen().
The difference is that system runs the command in a sub process with no access to this processes, while popen runs the command in a sub processes but provides accesses to the input ... | {
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"tags": "c++, file",
"url": null
} |
c#, beginner, object-oriented
Checker.GetMovies(); // textFile object called in here
console.WriteLine(Checker.ToString(); // display all movies
bool keepGoing = true;
bool isAgeAppropriate;
while(keepGoing) do {
// prompt for data
isAgeAppropriate = Checker.Validate(name, code, ...... | {
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"tags": "c#, beginner, object-oriented",
"url": null
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to: The graphs below summarize the changes in the x-intercepts, vertical asymptotes, and equations of a logarithmic function that has been shifted either right or left. Example: Sketch the graph of y=2+3cos2x. We can see that in place x , we have x-1. Vertical translation up by 2 units. y = f (x) + k, k > 0 shifts up. ... | {
"domain": "denley.pl",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"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,
... |
time-frequency, time-domain
python code used:
import allantools
import numpy as np
nsamps = 2**16
fs = 1000
freq = 1
t = np.arange(2**16)/fs
signal = np.cos(2*np.pi *freq *t)
a = allantools.Dataset(data=signal,
rate=fs,
data_type="freq",
taus = np... | {
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"tags": "time-frequency, time-domain",
"url": null
} |
c++, json, c++17
constexpr Field() = default;
constexpr explicit Field(const char* tp) : _name(tp) {}
constexpr explicit Field(const char* tp, comparator_type f) : _name(tp), _comp(f) {}
bool check(const nlohmann::json& j) const noexcept
{
try
{
auto value = j.get<value_typ... | {
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"tags": "c++, json, c++17",
"url": null
} |
special-relativity, mass, speed-of-light, charge, color-charge
Why do nearby charges increase the probability of virtual particles?
In quantum chromodynamics (QCD), it is true that the gluon field doesn't have any associated mass term in the definition of the model. However, even if we also set the quark mass terms to... | {
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"tags": "special-relativity, mass, speed-of-light, charge, color-charge",
"url": null
} |
python, python-3.x, multithreading
try:
requests.head(args.url).status_code
except Exception as e:
print("[!] Url is not responding")
sys.exit(1)
if args.wordlist is None or not os.path.isfile(args.wordlist):
print("[!] Wordlist is not valid")
sys.exit(1)
if not ar... | {
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"id": 31462,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, python-3.x, multithreading",
"url": null
} |
generative-model, generative-adversarial-networks
Is there any implementation with pytorch/keras that would be good to
get nice results with?
I would check out this link: https://github.com/eriklindernoren/Keras-GAN. It has some nice implementations in Keras. As far as the particular GAN to use, I would start out w... | {
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"openwebmath_score": null,
"tags": "generative-model, generative-adversarial-networks",
"url": null
} |
machine-learning, linear-algebra, rnn
...
output = h + K.dot(prev_output, self.recurrent_kernel)
if self.activation is not None:
output = self.activation(output)
The class thus makes its it easy to access two matrices separately (self.kernel and self.recurrent_kernel).
Pytorch
Pytorch approach is clos... | {
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"openwebmath_score": null,
"tags": "machine-learning, linear-algebra, rnn",
"url": null
} |
ros, navigation, kalman, robot-localization
What does 'absolute' measurement mean? It is relative to the 'world frame'?
The visual tracker sometimes tracks false positives in other points of the image, and sometimes loses completely the tracking, so it's right to say is subject to discrete jumps. The position obtained... | {
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"tags": "ros, navigation, kalman, robot-localization",
"url": null
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I found a proof in these lecture notes by Garrido and Jaramillo. See Theorem 18. They also have historical references.
• Note that the theorem in those notes uses the $\mathbb{R}$-algebra structure on $C(X)$, not just the ring structure. Aug 6 '19 at 5:54
• @EricWofsey: The R-algebra structure can be canonically recon... | {
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"openwebmath_score": 0.9448221325874329,
"tag... |
Using elementary functions, one that roughly approximates your diagram is $f(x)=-\frac{40}{\pi}\arctan(\frac{x}{10})+20$. It isn't a great fit, but a rough approximate.
Using non-elementary functions, your plot looks really similar to a mirrored normal distribution cumulative curve, which is based on the error functio... | {
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"lm_q1_score": 0.9777138177076644,
"lm_q1q2_score": 0.8189526061940051,
"lm_q2_score": 0.8376199572530448,
"openwebmath_perplexity": 1271.6311474286167,
"openwebmath_score": 0.9832265973091125,
"ta... |
A line that is parallel to y=x will not be symmetrical, unless it is the line y=x. The Wikipedia article I referenced in my first response gives some other examples. Another, more subtle, is y = (2x + 1)/(3x - 2).
Yes...(coughs politely)..I did , in fact mean "f^-1(x) = f(x)" ( another attack of mental lethargy which a... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9777138190064203,
"lm_q1q2_score": 0.8126200495962483,
"lm_q2_score": 0.831143054132195,
"openwebmath_perplexity": 709.2376829933124,
"openwebmath_score": 0.8134908080101013,
"tags"... |
c++, reinventing-the-wheel, stack
// increase the size to include new element
++m_iSize;
// construct the pushed object in the allocated memory
m_Allocator.construct(m_pBase + (m_iSize - 1), t);
return true;
}
// returns a const reference to the top element in the stack
// it is up to the caller... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c++, reinventing-the-wheel, stack",
"url": null
} |
python, optimization, python-3.x, graph, breadth-first-search
definitly looks wrong to me.
My re-written version of the code would be :
def _path_comparison(existing_path, incoming_path):
e0,e1,e2 = existing_path
i0,i1,i2 = incoming_path
if (e0 == i0):
if (e1 > i1):
return 1 if (e2 >=... | {
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"id": 6275,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, optimization, python-3.x, graph, breadth-first-search",
"url": null
} |
ros, installation, ubuntu, ubuntu-trusty, ros-indigo
I tried
apt-get -f install
and got
E: Could not open lock file /var/lib/dpkg/lock - open (13: Permission denied)
E: Unable to lock the administration directory (/var/lib/dpkg/), are you root?
So I tried with
sudo apt-get -f install | {
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"id": 32155,
"lm_label": null,
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"openwebmath_score": null,
"tags": "ros, installation, ubuntu, ubuntu-trusty, ros-indigo",
"url": null
} |
java, design-patterns
I was then wondering whether to move the rotated shapes into individual Enums, say RotatedJShape, or simply keep all the rotated shapes in the same Enum. My concern is that some shapes like the I-shape only has one rotated condition, so it seems pointless to have an Enum for that shape.
What woul... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, design-patterns",
"url": null
} |
quantum-field-theory, renormalization, topology, quantum-anomalies, chirality
Title: Index theorem and UV and IR face of chiral anomaly The index theorem in theory with fermions and gauge fields implies the relation between the index $n_{+}-n_{-}$ of Dirac operator and the integral $\nu$ over EM field chern characteri... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "quantum-field-theory, renormalization, topology, quantum-anomalies, chirality",
... |
gazebo
Title: why does my gazebo saved the world as plain text file? As the title mention, when I saved my world it only genarates a plain text file instead of .world file. Though I still can open the world by rosrun gazebo_ros gazebo <world_name>, I got into trouble when trying to launch rviz with gazebo, which all ... | {
"domain": "robotics.stackexchange",
"id": 38677,
"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": "gazebo",
"url": null
} |
images the chickens laid 5000 eggs year. Is 30 80 units of a number is 30 math learning fun and with! Upload 1-4 pictures or graphics to add the quantity of goods demanded is equal to the word! 4 cm the questions are increasingly challenging, finishing with some that require a lot of practice solving!: we can write, 99... | {
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"id": null,
"lm_label": "1. Yes\n2. Yes\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9728307653134903,
"lm_q1q2_score": 0.8760630888077814,
"lm_q2_score": 0.9005297941266013,
"openwebmath_perplexity": 956.8158715110995,
"openwebmath_score": 0.2838430404663086,
"tags": null... |
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