text stringlengths 1 1.11k | source dict |
|---|---|
# Sets and Venn diagrams
#### bergausstein
##### Active member
the associative axioms for the real numbers correspond to the following statements about sets: for any sets A, B, and C, we have $(A\cup B)\cup C=A\cup (B\cup C)$ and $(A\cap B)\cap C=A\cap (B\cap C)$. Illustrate each of these statements using Venn diagra... | {
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"lm_q1q2_score": 0.841355553677971,
"lm_q2_score": 0.8688267864276108,
"openwebmath_perplexity": 693.7062553990111,
"openwebmath_score": 0.6741513609886169,
... |
// Pick a level using a geometric distribution
int randomLevel() {
int lev;
for (lev = 0; Math.abs(ran.nextInt()) % 2 == 0; lev++) { // ran is random generator
; // Do nothing
}
return lev;
}
// Pick a level using a geometric distribution
int randomLevel() {
int lev;
for (lev = 0; Math.abs(ran.nextInt()) % 2 == 0; l... | {
"domain": "vt.edu",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9609517028006208,
"lm_q1q2_score": 0.8314385521169291,
"lm_q2_score": 0.8652240791017535,
"openwebmath_perplexity": 2683.6814120507747,
"openwebmath_score": 0.21858777105808258,
"tags": null,... |
python, python-3.x
dayof= {"BCAA" : "5g",
"White" : "25g",
"Glutamine" : "10g",
"Vitamins" : 5}
username = input("What is your name?\n")
trening = input("Are you going to the gym today?\n")
def dosage():
if trening == "yes":
return (username + ", you have to take: " +
"\nBCAA in dosage... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, python-3.x",
"url": null
} |
java
int[][] result = new int[sizeSqrt][sizeSqrt];
/*
* Filling result-array like this:
* [ (a2), (a3) ]
* [ (a5), (a4) ]
*/
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
result[i][j] = a2[i][j];
result[i + n][j] = a5[i][j];
result[i]... | {
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"openwebmath_score": null,
"tags": "java",
"url": null
} |
graphs, network-flow
when your residual graph does not have an augmenting path from $s$ to $t$. It's a fact that at that point the flow you constructed is, indeed, the maximum flow. This fact requires a proof. This is a meta-algorithm (called Ford-Fulkerson), because I have not specified how to choose augmenting paths... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "graphs, network-flow",
"url": null
} |
rosparam, roscpp
#ifndef Q_MOC_RUN
#include <ros/ros.h>
#include <rviz/panel.h>
#endif //Q_MOC_RUN
class QLineEdit;
namespace my_panel
{
class MyPanel: public rviz::Panel
{
Q_OBJECT
public:
MyPanel(QWidget *parent = 0);
virtual void load( const rviz::Config& config);
virtual void save( rviz::... | {
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"tags": "rosparam, roscpp",
"url": null
} |
gazebo-plugin, drcsim
Originally posted by ThomasK with karma: 508 on 2013-06-04
This answer was ACCEPTED on the original site
Post score: 2
Original comments
Comment by peshala on 2013-06-05:
@ThomasK Thanks. In my standalone installation (1.7.1) I could find ImuSensor.hh at /usr/include/gazebo-1.7/gazebo/sensors/Im... | {
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"tags": "gazebo-plugin, drcsim",
"url": null
} |
python, c++, rospy, roscpp
I get the error
Traceback (most recent call last):
File "/home/nick/fuerte_workspace/Robai/bin/test.py", line 22, in run
import rospy
File "/opt/ros/fuerte/lib/python2.7/dist-packages/rospy/__init__.py", line 49, in <module>
from .client import spin, myargv, init_node, \
File ... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, c++, rospy, roscpp",
"url": null
} |
waves, acoustics, absorption
1.3. Insulation
Not much to say here. This is a very complex topic combining impedance mismatch to reduce transmission of airborne sound as well as vibrations to tackle the issue of structure-borne sound and vibrating structures which re-radiate sound.
The main idea here is to provide as m... | {
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"openwebmath_score": null,
"tags": "waves, acoustics, absorption",
"url": null
} |
python, programming-challenge, strings, dynamic-programming, palindrome
Your Solution
I just tested your solution (marginally passes):
class Solution(object):
def longestPalindrome(self, s):
"""
:type s: str
:rtype: str
"""
if len(s) < 1:
return s
P =... | {
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"tags": "python, programming-challenge, strings, dynamic-programming, palindrome",
"ur... |
astronomy, visible-light, spectroscopy
Title: Very large absorption lines in stellar spectrum I was puzzled by the wide absorption lines in a stellar spectrum I found. The following is what I expect absorption lines to look like - thin, crisp lines:
However, I found this stellar spectrum, which as large gaps, most no... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "astronomy, visible-light, spectroscopy",
"url": null
} |
java, algorithm, object-oriented
List<String> words = readAllWordsWithLength(startWord.length());
List<Node> currentDepth = new ArrayList<>();
currentDepth.add(new Node(startWord));
while (!currentDepth.isEmpty()) {
List<Node> nextDepth = new ArrayList<>();
for (Node n... | {
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"openwebmath_score": null,
"tags": "java, algorithm, object-oriented",
"url": null
} |
thermodynamics, terminology, phase-transition, fusion
Solid $\to$ liquid: Melting
Liquid $\to$ solid: Freezing/fusion/solidification
The ideal thermodynamic temperatures where these phase changes happen are the same, typically and interchangeably called melting point, freezing point or ice point (I've never heard fus... | {
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"tags": "thermodynamics, terminology, phase-transition, fusion",
"url": null
} |
The function $f(x)=\lfloor \cos x\rfloor$ is constant in a punctured neighborhood of $0$: for $x\in(-\pi/2,\pi/2)$, $x\ne0$, $$\lfloor \cos x\rfloor=0$$ because $0<\cos x<1$. Therefore $$\lim_{x\to0}\lfloor \cos x\rfloor=0$$
What the value of $\lfloor \cos x\rfloor$ is for $x=0$ is completely irrelevant as far as the l... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9770226320971079,
"lm_q1q2_score": 0.8055179550512579,
"lm_q2_score": 0.8244619199068831,
"openwebmath_perplexity": 93.4483484109552,
"openwebmath_score": 0.9696570038795471,
"tags... |
c++, algorithm, combinatorics, stl, c++14
const std::list< int > list1 { { 1, 3, 2, 4 } };
const std::list< int > list2 { { 1, 2, 4, 3 } };
if( ::is_permutation( std::begin( list1 ), std::end( list1 ), std::begin( list2 ), std::end( list2 ) ) )
{
std::cout<< " Elements are permutation of each othe... | {
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"tags": "c++, algorithm, combinatorics, stl, c++14",
"url": null
} |
# interesting problem
#### shikamaru
Triangle ABC has sides of length 45, 60, and 75. Place a point D randomly and uniformly inside the triangle. What is the expected value of the sum of perpendicular distances from point D to the triangle's three sides?
#### shikamaru
i don't know solution,can you post here?
52.5... | {
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"lm_q1q2_score": 0.8273561548386,
"lm_q2_score": 0.8519528057272544,
"openwebmath_perplexity": 1775.2038433931466,
"openwebmath_score": 0.7495577931404114,
"tags": null... |
telescope, radio-astronomy, radio-telescope, observatory
Title: What will succeed the Arecibo Observatory? Just a few minutes ago, I got a notification from Space.com stating that the Arecibo Observatory will be, sadly, decommissioned due to extensive damage to its structure. So, with the loss of one of the world's la... | {
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "telescope, radio-astronomy, radio-telescope, observatory",
"url": null
} |
c#, algorithm, pathfinding
Your lambda function is cluttering the visual space of your algorithm implementation, I would rather put it in a separate private method. In this function, r is not a meaningful name: even anonymous functions should have meaningful names for its parameters. Room.adjacentRooms is of type int[... | {
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Try with any multiple of $3$ as $84^\circ,63^\circ$ etc. for $A$
Finally don't miss to try some values of $n$ in $(5)$
• For some reason I did not got ping'd with your comment.Thank you for showing the interesting results! I will see if your formulas help in proving $\tan87\tan51\tan15\tan9=1$ or $\tan75\tan69\tan33\... | {
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"lm_q1_score": 0.9814534376578004,
"lm_q1q2_score": 0.8135648388874432,
"lm_q2_score": 0.8289388040954683,
"openwebmath_perplexity": 944.3555898242262,
"openwebmath_score": 0.8914582133293152,
"tag... |
determinism, chaos-theory
In the former (chaotic) case, given that we can't know the initial conditions to infinite precision, there will always be some time after which predictions of the behavior of the system become essentially meaningless - the uncertainty becomes so large that it fills up most of the state space.... | {
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"tags": "determinism, chaos-theory",
"url": null
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an orthogonal basis such that the matrix is diagonal in that basis. If we take each of the eigenvalues to be unit vectors, then the we have the following corollary. This proves that we can choose eigenvectors of S to be orthogonal if at least their corresponding eigenvalues are different. If is Hermitian (symmetric if ... | {
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"lm_q1_score": 0.9790357561234474,
"lm_q1q2_score": 0.843476714039851,
"lm_q2_score": 0.861538211208597,
"openwebmath_perplexity": 381.93015762875825,
"openwebmath_score": 0.7964757680892944,
... |
experiment
Title: Suggestions for self-studying experimental techniques I would appreciate any suggestion regarding self-studying experimental techniques used in biology for a theoretical scientist (candidate).
Maybe I should be more specific. I'm a biology major, but took as little experimental courses as possible, a... | {
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"tags": "experiment",
"url": null
} |
evolution, molecular-evolution, macroevolution
and at another point:
Nature’s many innovations—some uncannily perfect—call for natural
principles that accelerate life’s ability to innovate.
Can random mutations over a mere 3.8 billion years really be
responsible for wings, eyeballs, knees, camouflage, lactose dig... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "evolution, molecular-evolution, macroevolution",
"url": null
} |
homework-and-exercises, electromagnetism, vector-fields
{\frac {∂}{∂x}} & {\frac {∂}{∂y}} & {\frac {∂}{∂z}} \\
{H_x} & {H_y} & 0
\end {bmatrix}
= \hat {\vec z} \left( \frac {∂H_y}{∂x} - \frac {∂H_x}{∂y} \right). $
From this result you get easily your equality (3) by taking into account that in the RHS of the 2nd Max... | {
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"tags": "homework-and-exercises, electromagnetism, vector-fields",
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} |
it.information-theory, data-streams
Unfortunately, Wikipedia's article doesn't contain a reference or citation to support this claim. I'm not a data-compression expert, so I'd appreciate any information you can provide on this subject, or if you could point me to a more reliable source than Wikipedia. I am not sure if... | {
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"openwebmath_perplexity": null,
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"tags": "it.information-theory, data-streams",
"url": null
} |
astrobiology
Title: Is it possible for humans to digest and live on food that isn't based on DNA or RNA? Our bodies digest food using enzymes that have evolved to convert food here on Earth. Could we even possibly get nutrients from something we haven't evolved alongside? - Is it possible for humans to digest and live... | {
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"tags": "astrobiology",
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physical-chemistry, quantum-chemistry, electronic-configuration
${}^1D$ is possible ($L=2,1,0, S=0$), so we can compute the number of corresponding microstates $N$ with the formula $N = (2L+1)(2S+1) = 5\cdot 1 = 5$.
Using the same formula, ${}^3P$ is going to contain 9 microstates.
With the "substraction method" desc... | {
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"tags": "physical-chemistry, quantum-chemistry, electronic-configuration",
"url": null
... |
by the Theorem above m n. on the above.... The Warcaster feat to comfortably cast spells translation, English dictionary definition of bijections to said image making statements on! Than 6 takes a very long time where f is not surjective is... Way to tell a child not to attend the inauguration of their?. Statements bas... | {
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"lm_q1q2_score": 0.8083826578003334,
"lm_q2_score": 0.8289388104343892,
"openwebmath_perplexity": 442.3231220788641,
"openwebmath_score": 0.7859933972358704,
"t... |
fl.formal-languages, context-free
An equivalent definition is:
Consider the semiring $R := (\mathscr{P}(N), \cup, \circ)$.
A set $M \subseteq R$ has a finite generating set if there is a finite set $S \subseteq R$ so that every subsemiring of $R$ that contains $S$ also contains $M$.
Applied to formal languages:
Let... | {
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Last edited: Oct 30, 2012
8. Oct 30, 2012
### EngWiPy
I am sorry if I were not clear, and thanks for your reply.
For d=5 Km the curves are very similar except for a certain scale, but for d=100 Km there is a huge difference!! Is that because of A0, too?
Thanks
9. Oct 30, 2012
### uart
Ok I don't know, I only che... | {
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"openwebmath_perplexity": 2186.0748621744515,
"openwebmath_score": 0.5356294512748718,
"ta... |
is always a rectangle if opposite sides are parallel and. Parallelograms are rectangles, but the second part is false square, rhombus and rectangle are also in! Editors update and regularly refine this enormous body of information to bring you information..., area in terms of Cartesian coordinates of vertices, parallel... | {
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"lm_q1_score": 0.9653811641488385,
"lm_q1q2_score": 0.8352710237003885,
"lm_q2_score": 0.8652240738888188,
"openwebmath_perplexity": 1110.819081370533,
"openwebmath_score": 0.5725576877593994,
"tags": n... |
to denote the Fourier transform of a function. learning goals. Laplace transform 1 Laplace transform The Laplace transform is a widely used integral transform with many applications in physics and engineering. To create this article, volunteer authors worked to edit and improve it over time. 2 The Laplace transform. In... | {
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"openwebmath_score": 0.7958521246910095,
... |
If your expression has multiple factors any of which might be 0 you simply have to state that you are assuming the entire expression is non-zero.
You don't have to specify that you are assuming each individual factor is non-zero. That is obvious given the entire expression is non-zero.
Once you have stated that assum... | {
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"lm_q1q2_score": 0.8284514434821101,
"lm_q2_score": 0.8519528019683105,
"openwebmath_perplexity": 649.4248629576731,
"openwebmath_score": 0.9970701336860657,
"tags"... |
neural-networks, game-ai, single-layer-perceptron
'''forward-feeding'''
# we begin by setting the lists to zero so as to make the computer forget the past state of the board and to look for the current state
self.inputs_template_columns = []
self.inputs_template_rows = []
self.column_sc... | {
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"tags": "neural-networks, game-ai, single-layer-perceptron",
"url": null
} |
c#, .net, timer
static void CountDown(int delayInMilliseconds)
{
bool finishedCountdown = false;
DateTime initialTime = DateTime.UtcNow;
while (!finishedCountdown)
{
DateTime timeNow = DateTime.UtcNow;
TimeSpan timeDifference ... | {
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"url": null
} |
very very nice 1 ) differential equations that repeatedly. To review the definition of the current state as a function maybe it just. Start new discussion reply, chemistry, biology, economics and so on, is the distance, the differential! Of time t, the more new rabbits per week problem: and... ( or set of rate equation... | {
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"id": null,
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9632305307578323,
"lm_q1q2_score": 0.8402716343065415,
"lm_q2_score": 0.8723473846343394,
"openwebmath_perplexity": 468.2146348074488,
"openwebmath_score": 0.7611561417579651,
"t... |
genomics, mitochondria
Title: how to find full mitochondrial genome of plants in GenBank? I am searching for full mitochondrial genome of a species of Malvaceae family.
To be more specific, I need the genus Corchorus. But I could not find the location where it is in gene bank. After searching in google, I found this, ... | {
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"tags": "genomics, mitochondria",
"url": null
} |
tidal-forces, ceres
$m_c \approx 9.1 \times 10^{20} \rm\, kg$ is the mass of Ceres,
and $r_m \approx 385,000 \rm\, km$ is the semi-major axis of the Moon's orbit around the Earth
Solve for the Ceres orbit distance $r_c$ to get about $89,000\rm\, km$ to exert the same tidal effects as the Moon.
Note: Tidal forces are d... | {
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"tags": "tidal-forces, ceres",
"url": null
} |
c++, performance, image, genetic-algorithm
switch(currentInstruction.operation)
{
case 0: //+
result = operand1 + operand2;
break;
case 1: //-
result = operand1 - operand2;
break;
... | {
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"tags": "c++, performance, image, genetic-algorithm",
"url": null
} |
python, pandas
if len(product_data_onstock) > 0:
stock_cost_price = product_data_onstock.sort_values(by=['CostPrice'], ascending=True).iloc[0,:]
stock_cost_real_price = product_data_onstock.sort_values(by=['CostPriceReal'], ascending=True).iloc[0,:]
elif len(product_data_outstock) > 0:
... | {
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"url": null
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14. Good way of explaining, and nice article to take information concerning my presentation topic, which i am going to present in college.
15. I savor, lead to I found exactly what I used to be having a look for.
You have ended my four day lengthy hunt! God Bless you man. Have a nice day.
Bye
Take a look at my site ... | {
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"openwebmath_score": 0.21461400389671326,
"tags": n... |
javascript, search
Is there a way to make this function perform better and improve the readability of the code?
Here is the function:
const searchTownsAndStates = (input) => {
let townsAndStates = getRawTownsAndStates();
let regex = /(?<town>[A-Z ]+),(?<state>[A-Z ]*)/gi;
if (regex.test(input)) {
const [town... | {
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"id": 44944,
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"openwebmath_score": null,
"tags": "javascript, search",
"url": null
} |
javascript, jquery, html, css
$( ".buttonFinish" ).on('click', function(event) {
$('body').fadeOut('slow');
$('#loader').center();
$('#loading').center();
$('#loader').show();
$('#loading').show();
//Use the above function as:
var requ... | {
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"tags": "javascript, jquery, html, css",
"url": null
} |
entanglement, teleportation, superdense-coding
Both require Alice and Bob to pre-share some fiducial Bell pair. Entanglement allows Alice to later send an arbitrary and unknown qubit to Bob using two classical bits of information over a classical channel, while superdense coding allows Alice to send two classical bit... | {
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"tags": "entanglement, teleportation, superdense-coding",
"url": null
} |
Lahore, Lahore, Pakistan. Relplot: a general equation plotter. It is common to plot the solution along with its derivative (or more than one dependent variable). Example: suppose you have a membrane patch that has the hh mechanism. To see them in different colors use an Evaluate around what you want to be plotted: For ... | {
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"lm_q1_score": 0.972414724168629,
"lm_q1q2_score": 0.8060723026465414,
"lm_q2_score": 0.8289388083214156,
"openwebmath_perplexity": 847.6896301243131,
"openwebmath_score": 0.5837233662605286,
"tags"... |
python, game, rock-paper-scissors
replay_loop = True #replay_loop keeps asking the user if they want to replay incase they enter an incorrect input.
replay_choice = "y" #replay_choice is the user's input that dicides whether or not the "gameplay" loop repeats.
round_repeat = True #This variable keeps the code asking ... | {
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"tags": "python, game, rock-paper-scissors",
"url": null
} |
syntax
The source file is decomposed into preprocessing tokens and sequences of
white-space characters (including comments). A source file shall not end in a
partial preprocessing token or in a partial comment. Each comment is replaced by
one space character. New-line characters are retained. Whether each nonemp... | {
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"tags": "syntax",
"url": null
} |
c#, object-oriented, authentication, sharepoint, securestring
I like your code more or less. It's neat and tidy, the classes are small and have well defined functionality. I just want to clarify a point @dreza made in their answer.
Rather than make a property public readonly. Consider making it a public property wit... | {
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beginner, reinventing-the-wheel, rust
I'd probably derive Default for the struct, call it, then mutate the fields of the struct in-place in the function, instead of having 3 separate variables:
It feels really strange to not immediately perform error checking inside the for loop. I'd move the ? to the first expression... | {
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"tags": "beginner, reinventing-the-wheel, rust",
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} |
homework-and-exercises, electrostatics, electrons, multipole-expansion
$$ w(x, y, z) = q(3z^2-r^2) = q(2z^2 - x^2 -y^2) \propto qr^2Y^0_2(\theta, \phi)$$
since $x=y=0$ we are just summing:
$$ \sum_i{2ez_i^2}= 2e[a^2+(-2\cdot 0)^2+(-a)^2] = 4ea^2$$
Now the reason I included the $\propto = Y_2^0$ is because rank-2 tenso... | {
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"tags": "homework-and-exercises, electrostatics, electrons, multipole-expansion",
"url": ... |
python, beginner, project-euler
#diagonal right and left
for r in xrange(0,17):
for rsub in xrange (0,17):
right_diagonal = grid[rsub][0+r] * grid[rsub+1][1+r] * grid[rsub+2][2+r] * grid[rsub+3][3+r]
left_diagonal = grid[rsub][3+r] * grid[rsub+1][2+r] * grid[rsub+2][1+r] * grid[rsub+3][r]
... | {
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"openwebmath_score": null,
"tags": "python, beginner, project-euler",
"url": null
} |
image-processing, denoising, sparsity
When one considers the original data as the "clean" reference, lossy compression adds a amount of loss related (generally vaguely increasing) to the compression ratio allowed.
However, it is interesting to take another perspective, which I borrow from Filtering Random Noise from D... | {
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"tags": "image-processing, denoising, sparsity",
"url": null
} |
python, snakemake
pathToHISAT2index = 'indexes/hisat2/reference'
pathToBOWTIE2index = 'indexes/bowtie2/reference'
pathToTemp = 'temp/'
pathToBAM = 'processed_data/BAM'
readsPE, = glob_wildcards('raw_data/reads/BL6/totalRNA/{sample}_1.fastq.gz')
readsSE, = glob_wildcards('raw_data/reads/BL6/smallRNA/{sample}.fq.gz')
... | {
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"id": 814,
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"openwebmath_score": null,
"tags": "python, snakemake",
"url": null
} |
Table 9.1 Integral constraints for SISO systems
Notation Constraints Interpretation pi RHP poles Areas of sensitivity below 1(i.e. ln|So|<0) must be matched by areas of sensitivity above 1. ci RHP zeros Areas of complementary sensitivity below 1 must be matched by areas of complementary sensitivity above 1. weighting... | {
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"lm_q1_score": 0.9850429151632046,
"lm_q1q2_score": 0.8229871429943183,
"lm_q2_score": 0.8354835411997897,
"openwebmath_perplexity": 727.4150811819243,
"openwebmath_score": 0.8211777806282043,
"tags": null,
... |
python, python-2.x, game-of-life
for y in range(self._cols):
for x in range(self._rows):
neighbours = self.__neighbourCount(x, y)
# Handles
# Rule 1 - Any live cell with fewer than two live neighbours
# dies, as if caused by under-population (by defaulting to... | {
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"tags": "python, python-2.x, game-of-life",
"url": null
} |
feature-engineering
Title: Are there any search algorithms for feature optimization similar to RFE, but which consider all possible combinations? Does anyone know any good search algorithms for feature optimization that search through every possible combination to find the optimal combination of features for maximum p... | {
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} |
c++, strings, c++11, reference
int StringRef::compare(const char *data) const{
// Lazy based on LLVM::StringRef
// http://llvm.org/docs/doxygen/html/StringRef_8h_source.html
auto data_size = strlen(data);
// check prefix
if ( int res = memcmp(_data, data, std::min(_size, data_size ) ) )
r... | {
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"openwebmath_score": null,
"tags": "c++, strings, c++11, reference",
"url": null
} |
evolution, genetics, natural-selection, sexual-selection, definitions
Below is a list of scenarios where you can answer by yes or no whether SS is involved in the evolution of some feature. In all of these scenarios, we'll consider cases where the males have to find a mate…
The males need good ears to find the females... | {
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"tags": "evolution, genetics, natural-selection, sexual-selection, definitions",
"url": nu... |
electromagnetism, special-relativity, terminology
Title: Why is the Faraday Tensor derived from the Lorentz force? If we start from the Lorentz force, $$\textbf{F}=q\textbf{E} +q\textbf{v}\times\textbf{B}$$
and use the four velocity u$^{\mu}$ and the four momentum p$^{\nu}$, then we get to $$\frac{dp^{\mu}}{d\tau}=qF^... | {
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The mismatch arises from the presence of an offset in time: in the parametric equations of an ellipse point $t=0$ is at an endpoint of the major axis, while that is not true for your axes-aligned sinusoids. To overcome this problem you just need to introduce an unknown time-offset $t_0$ and rewrite your sinusoid equati... | {
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"lm_q2_score": 0.8198933403143929,
"openwebmath_perplexity": 307.93464750893475,
"openwebmath_score": 0.999336838722229,
"tag... |
c++, template, coordinate-system
The only reason to use this-> is to disambiguify a shadowed member. The problem here is that if you forget to use this-> the compiler will not tell you there is an error it will use the most locally scoped version of the variable (so it hides errors when you forget to use it). Also for... | {
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"tags": "c++, template, coordinate-system",
"url": null
} |
c, tree
#endif
/**
* @file treedict.c
* @author
* @brief Code for treedict.h.
*
*
*
*/
#include "treedict.h"
/*********************************** NODE DEFINITION ****************************/
/**
* @brief Default length the the node.children array in a newly created node.
*/
static const int DEFAULT_LEN... | {
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The exact value of 0.3 + -0.29 is 0.01.
Compute the following:
(float approx of 0.3) + (float approx of -0.29) =
(2.8125) + -0.28125) =
0
Then compare the approximate value (0) to the exact value (0.1) for the number of significant figures of $$z = float(x_1) + float(x_2)$$
1.0 - 0.0 = 1.0
The result has zero sig... | {
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"lm_q2_score": 0.8596637433190939,
"openwebmath_perplexity": 751.7877254236755,
"openwebmath_score": 0.6995863914489746,
"tags... |
go, reflection
I'm not going to walk through the entirety of the reflect package, although you may want to take some time to do that yourself, just to see what using reflection actually implies. For now, let me assure you this:
Using reflection uses tons of CPU cycles and memory | {
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$\displaystyle\frac{24}{64}\ \frac{60}{63}$
There are 36 squares not on an edge.
Therefore the probability that the squares include one of these, and the 2nd one is not sharing a side with it is
$\displaystyle\frac{36}{64}\ \frac{59}{63}$
Therefore, the probability that 2 squares are selected and do share a side is
... | {
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"lm_q2_score": 0.817574471748733,
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"openwebmath_score": 0.8835394382476807,
"tags... |
quantum-mechanics, mathematical-physics, operators, hilbert-space, eigenvalue
\tag1
$$
project out the bound-state components, and normalize - from physical considerations, you must be left with a nonzero remainder.
As pointed out in Ruslan's comment, the wavefunction in $(1)$ must include a nonzero support outside of... | {
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... |
quantum-mechanics, signal-processing, statistics, probability
Title: Products of Gaussian stochastic process variables In the classic experimental physics text "Statistical Theory of Signal Detection" by Carl. W. Helstrom, Chapter II, section 4 concerns Gaussian Stochastic Processes. Such a process is observed at time... | {
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"tags": "quantum-mechanics, signal-processing, statistics, probability",
"url": null
} |
electromagnetism, electric-fields, complex-numbers
Lastly, since now (2) is confined to two equations in positive frequency (therefore positive energy) we can now interpret (2) as the time evolution, i.e. Schrödinger equation for the quantum state of a first quantized photon. See: | {
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"tags": "electromagnetism, electric-fields, complex-numbers",
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} |
black-hole, radio-astronomy, sagittarius-a
Title: How does the Event Horizon Telescope implement the interferometry? The BBC article Event Horizon Telescope ready to image black hole describes the Event Horizon Telescope, a coordinated observing technique with several radio telescope arrays across the globe forming a ... | {
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"tags": "black-hole, radio-astronomy, sagittarius-a",
"url": null
} |
fluid-dynamics, resource-recommendations, software
Title: Software for Modeling Carbon Burn I’m looking for a way to accurately simulate wood turning into ash. I haven’t been able to find much of anything online which is why I’m asking here.
Here’s a video of a simulation of 2D cables burning which close to what I’m ... | {
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"tags": "fluid-dynamics, resource-recommendations, software",
"url": null
} |
ros, gazebo, simulation, erratic
To do this I followed the tutorial: link
Then I tried to see if the camera was working, with:
rosrun image_view image_view image:=/my_camera/image
And it worked.
The problem is that the new model of the erratic robot lost stability and when i tried to teleoperate the new model it rea... | {
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} |
c++, algorithm, primes
long long inpalprime::largest_prime_factor(long long f)
{
return get_prime_factors(f).back();
}
long long inpalprime::count_prime_factors(long long f)
{
return get_prime_factors(f).size();
}
std::vector<bool> inpalprime::get_primes(long long m)
{
std::vector<bool> p_test(m+1, false... | {
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"tags": "c++, algorithm, primes",
"url": null
} |
machine-learning, clustering, data-cleaning, unsupervised-learning, document-understanding
Notice that It is recommended to replace keyboard and It is recommended to replace keyboard manually clear hd space add to stale profile manager instal windows update are very similar. Ideally, I would like to just converge to t... | {
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"openwebmath_score": null,
"tags": "machine-learning, clustering, data-cleaning, unsupervised-learning, document-un... |
homework-and-exercises, newtonian-mechanics, equilibrium
Title: Where do forces point in an equilibrium system
I have the system above, with three identical balls of weight $W$ and radius $r$. The angle joining the centres is $\theta$, and the coefficient of friction between the balls and the plane is $\mu$ and betwe... | {
"domain": "physics.stackexchange",
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"tags": "homework-and-exercises, newtonian-mechanics, equilibrium",
"url": null
} |
thermal insulating overpacks. 26) carries a uniform volume charge density p on the inner cylinder (radius a), and a uniform surface charge density on the outer cylindrical shell (radius b). Mar 24, 2009 · Mike Kojima's making it stick Suspension Articles. An infinitely long nonconducting solid cylinder of radius R has ... | {
"domain": "jeanettekastrup.de",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9811668706602659,
"lm_q1q2_score": 0.8044521851504527,
"lm_q2_score": 0.8198933425148213,
"openwebmath_perplexity": 335.5221574838748,
"openwebmath_score": 0.9066055417060852,
"ta... |
matlab, peak-detection
Title: How to detect peaks ignoring soft declivity? I have to detect repetitions in a signal, and I am managing to do it by finding peaks and valleys, and cutting the desired pieces. The following figure shows the pattern wanted, shaded areas are the portions of interest:
The problem is: some o... | {
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"openwebmath_score": null,
"tags": "matlab, peak-detection",
"url": null
} |
optics, reflection, polarization
The "safe" directions are only two, "p" and "s" polarized with respect to the planes of the mirrors; that means, horizontal and vertical.
Edit: now this is becoming an answer.
If your mirror is metallic and the incidence angle is different from zero, the phase shifts for the s- and p-p... | {
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"tags": "optics, reflection, polarization",
"url": null
} |
You can repeat this process on each interval between points of intersection.
-
If you know they intersect at 0, 1, and 3 and have no discontinuities (since they're polynomials), you can just plug some number between 0 and 1 into both $f$ and $g$ and see which one is bigger, and also some number between 1 and 3. You c... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9755769099458927,
"lm_q1q2_score": 0.8292122567986745,
"lm_q2_score": 0.8499711794579723,
"openwebmath_perplexity": 117.99656430132467,
"openwebmath_score": 0.9046499729156494,
"ta... |
c, embedded
The only real drawback is that it gets a bit awkward if you need to do anything at both exit points, other than return. | {
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"openwebmath_score": null,
"tags": "c, embedded",
"url": null
} |
c++, performance, object-oriented, file, compression
return;
}
void Archiver::buildTable(TreeNode* root) {
std::deque< std::pair<TreeNode *, std::vector<bool> > > q;
q.push_back(make_pair(root, std::vector<bool>()));
while (!q.empty()) {
TreeNode *node, *lc, *rc;
std::vector<bool> code;
... | {
"domain": "codereview.stackexchange",
"id": 25426,
"lm_label": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c++, performance, object-oriented, file, compression",
"url": null
} |
java, android
import java.util.ArrayList;
public class ListLanguagesActivity extends AppCompatActivity {
ListView lv;
SearchView sv;
static String[] languagesCodes = {
"english",
"japanese",
"korean",
"spanish",
"french",
"portugues... | {
"domain": "codereview.stackexchange",
"id": 23243,
"lm_label": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, android",
"url": null
} |
ros, linear-velocity
Max output driving wheel RPMs are 51, but I think this is not relevant.
What kind of formula do I have to use if I want to calculate velocity and displacement for each track?
I know I should use the classical formula V = S / T and S = V x T but I can't understand how to use these relations for my... | {
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"tags": "ros, linear-velocity",
"url": null
} |
By the way, $\cos(-x) = \cos(x)$ (even function), so you can not determine the sign. This is not a problem, since for a capacitor the sign is always the same.
• Ok, that's good, cant wait to get back to work on the method you suggest. As I'm still hazy on details. Your last equation is: phi = arcos ( (U (dot product) ... | {
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"lm_q1_score": 0.9658995742876885,
"lm_q1q2_score": 0.8110986818895275,
"lm_q2_score": 0.8397339676722393,
"openwebmath_perplexity": 850.4775280313042,
"openwebmath_score": 0.7069713473320007,
"tag... |
an overview of the properties of the circumcenter of a triangle, which are applied to different scenarios like Euclidean geometry. The slope on the AB, BC and CA sides must be found with the formula Given 3 non-collinear points in the 2D Plane P, Q and R with their respective x and y coordinates, find the circumcenter ... | {
"domain": "ttokamsa.com",
"id": null,
"lm_label": "1. Yes\n2. Yes",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9748211539104333,
"lm_q1q2_score": 0.8123424496367515,
"lm_q2_score": 0.8333246015211008,
"openwebmath_perplexity": 481.9983013396492,
"openwebmath_score": 0.5764424800872803,
"tags": n... |
dh-parameters
Title: Denavit Hartenberg parameters for 3R spatial manipulator - excercise I'm learning about robotics and comparing two ways to calculate homogeneous transformation matrix. I'm comparing PoE (product of exponentials) and Denavit-Hartenberg parameters. For the same base frame and same position and orien... | {
"domain": "robotics.stackexchange",
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"tags": "dh-parameters",
"url": null
} |
newtonian-mechanics, angular-momentum, momentum
As conclusion, in both cases dumbbells will have the same linear component of speed, but in right case it also will have rotational component.
You may think that it is a stupid question, but i just want to understand well how it works, and i have nobody to ask because i'... | {
"domain": "physics.stackexchange",
"id": 18888,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "newtonian-mechanics, angular-momentum, momentum",
"url": null
} |
newtonian-mechanics, newtonian-gravity, reference-frames, earth, centrifugal-force
1 You should note that because these are the only forces acting on the person at the equator and they do not cancel out because that person is not in equilibrium. But you knew that: they are moving in a circle, right?
2 Except that we h... | {
"domain": "physics.stackexchange",
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"openwebmath_score": null,
"tags": "newtonian-mechanics, newtonian-gravity, reference-frames, earth, centrifugal-force... |
ros, robot-state-publisher, joint-states, transform
Title: robot_state_publisher design: multiple publishers on /joint_states ok?
Is robot_state_publisher designed to handle multiple sources of /joint_state information? For example, let's say I have the R2D2-like robot from this tutorial.
If I have one node publishin... | {
"domain": "robotics.stackexchange",
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"openwebmath_score": null,
"tags": "ros, robot-state-publisher, joint-states, transform",
"url": null
} |
javascript, factory-method, observer-pattern, lodash.js
const set = (objId, newObj) => {
if (!isObjWatched(objId))
throw objectNotWatched(objId);
const entry = watchMap.get(objId);
const oldObj = Object.assign({}, entry.obj);
entry.obj = Object.assign({}, newObj);
e... | {
"domain": "codereview.stackexchange",
"id": 29743,
"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": "javascript, factory-method, observer-pattern, lodash.js",
"url": null
} |
beginner, html, html5
<article id="services">
<h2>Services</h2>
</article>
<article id="contact-me">
<h2>Contact Me</h2>
</article>
</body>
(Personally, I would use section instead of article for the four top-level sections "About Me", "My Work", "Services", and "Contact Me". I wouldn’t say article is... | {
"domain": "codereview.stackexchange",
"id": 10921,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "beginner, html, html5",
"url": null
} |
java, beginner, object-oriented, design-patterns
public void validateUsername(String username, String password) {
if (this.getUserNamesAndPasswords().get(username).passwordEquals(password)) {
this.user = getUserNamesAndPasswords().get(username);
this.user.setList(this.getToDoLists().get... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, beginner, object-oriented, design-patterns",
"url": null
} |
cosmology
Title: what is a Friedmann model? Can you explain what is a Friedmann model to a layman?
And also give some examples of Friedmann models, specially I would like to know if the lambda-CDM model is considered a Friedmann model. The "Friedmann model" is a model of the Universe governed by the Friedmann equation... | {
"domain": "astronomy.stackexchange",
"id": 2931,
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"openwebmath_score": null,
"tags": "cosmology",
"url": null
} |
php, strings
I changed it to use an array and implode the parts - which has made it less lines, but I'm not really sure if it is written better as a result:
$nameParts = array();
if ($includeTitle && $this->getTitle()) {
$nameParts[] = $this->title;
}
if ($this->forename) {
$nameParts[] = $this->forename;
}
if ($i... | {
"domain": "codereview.stackexchange",
"id": 6241,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "php, strings",
"url": null
} |
php, javascript
function RemoveParent() {
$(this).parent().parent().remove();
}
function AddNewEvent() {
var today, html, temp, datestring;
today = new Date();
datestring = (today.getYear()+1900) + '-' + (today.getMonth()+1) + '-' + today.getDate();
html = '<li class="u... | {
"domain": "codereview.stackexchange",
"id": 62,
"lm_label": null,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "php, javascript",
"url": null
} |
finite-impulse-response, parks-mclellan, dsp-puzzle
Title: Convert a Park McClellan FIR Solution to Achieve Stop-band Roll-off Often it is more desirable to have a roll-off versus frequency of the rejection in the stopband; for example resampling filters where all the alias image locations fold into the first Nyquist ... | {
"domain": "dsp.stackexchange",
"id": 4811,
"lm_label": null,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "finite-impulse-response, parks-mclellan, dsp-puzzle",
"url": null
} |
c++, multithreading, thread-safety, c++17
In the code below, I use a custom class called xtd::fast_recursive_mutex, this class is a fully compatible, drop-in-replacement for std::recursive_mutex, but it uses CRITICAL_SECTION on windows for faster locking than std::recursive_mutex (at least on our compiler).
I'm intere... | {
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"tags": "c++, multithreading, thread-safety, c++17",
"url": null
} |
• @Henning Makholm: Just looking at the graph the first half of the first segment does not seem to attain every height 3 times (visually). That is, values $y<2$. Perhaps you mean the graph extends to negative region too? Apr 2 '14 at 0:25
• @PVanchinathan: The function is $\mathbb R\to\mathbb R$; the graph (contributed... | {
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"lm_q2_score": 0.8479677660619633,
"openwebmath_perplexity": 316.5863063942624,
"openwebmath_score": 0.8250735998153687,
"tags... |
kinect, quaternion
Originally posted by SM on ROS Answers with karma: 15 on 2013-10-31
Post score: 0
The openni_tracker simply broadcasts transforms from the camera_frame_id frame (defaults to openni_depth_frame) to each of the joints of the user. Using a tf listener one could write a simple node that looked up tran... | {
"domain": "robotics.stackexchange",
"id": 16019,
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"tags": "kinect, quaternion",
"url": null
} |
general-relativity, cosmology, angular-momentum, measurements
Title: What if the universe is rotating as a whole? Suppose in the milliseconds after the big bang the cosmic egg had aquired some large angular momentum. As it expanded, keeping the momentum constant (not external forces) the rate of rotation would have sl... | {
"domain": "physics.stackexchange",
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "general-relativity, cosmology, angular-momentum, measurements",
"url": null
} |
general-relativity, differential-geometry, metric-tensor, tensor-calculus, variational-calculus
$$ \frac{-1}{2} g^{i \lambda} \nabla_\beta (h_{\mu \lambda}) T_{i \nu}$$
or this:
$$ \frac{-1}{2} g^{i \lambda} \nabla_\beta (h_{\mu \lambda} T_{i _\nu})$$
I guess it should be the former but I want to be sure about it. Th... | {
"domain": "physics.stackexchange",
"id": 60203,
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"openwebmath_score": null,
"tags": "general-relativity, differential-geometry, metric-tensor, tensor-calculus, variati... |
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