text stringlengths 49 10.4k | source dict |
|---|---|
coordinate-systems, tensor-calculus, differentiation
\end{align}
Since the matrix is diagonal, the inverse matrix is simply the matrix whose entries are reciprocals. So, plugging this into the above expression, it actually simplifies a lot:
\begin{align}
\text{grad}(f)&=\sum_{i,j=1}^ng^{ij}\sqrt{g_{jj}}\frac{\partial ... | {
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"tags": "coordinate-systems, tensor-calculus, differentiation",
"url": null
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javascript, game, html, css, hangman
hint
The loop does not exit until we've found a certain number of un-guessed letters that are not in the word. This is a problem if the word is something like "subdermatoglyphic", because we might run out of such letters before we've disabled enough of them, and then we'll just kee... | {
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"tags": "javascript, game, html, css, hangman",
"url": null
} |
navigation, odometry
<!-- Run Amcl -->
<node pkg="amcl" type="amcl" name="amcl" output="screen" respawn="true">
<remap from="scan" to="$(arg laser_topic)"/>
<param name="odom_model_type" value="diff" />
<param name="odom_alpha5" value="0.1" />
<param name="transform_tolerance" value="0.2" />
<par... | {
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"tags": "navigation, odometry",
"url": null
} |
general-relativity, black-holes, singularities, models
Title: Why exactly are singularities avoided or "deleted" in physics? What is the real reason that make us reject singularities everytime we see them in a theory/model?
For example, in GR, it is predicted that black holes singularities have infinite density. This ... | {
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"tags": "general-relativity, black-holes, singularities, models",
"url": null
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c, strings, parsing
/// @brief Get delimiter-separated segments from a string in a non-destructive method.
/// @details A useful function which can be used for parsing in a loop in a safe manner.
/// @author Damon Harris (TheDcoder@protonmail.com)
/// @param [in] str Current segment or start of the string.
... | {
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"tags": "c, strings, parsing",
"url": null
} |
drcsim
Originally posted by nbanyk on Gazebo Answers with karma: 104 on 2014-08-04
Post score: 0
Original comments
Comment by nbanyk on 2014-08-05:
also getting this error: gzserver: symbol lookup error: /opt/ros/hydro/lib/libgazebo_ros_paths_plugin.so: undefined symbol: _ZN3ros7package10getPluginsERKSsS2_RSt6vectorI... | {
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java, android
private Bitmap puzzleByPosition(Matrix.Position pos) {
int x = pos.column * puzzleSize.width;
int y = pos.row * puzzleSize.height;
return Bitmap.createBitmap(fullImage, x, y, puzzleSize.width, puzzleSize.height);
}
public void mix() {
mixer.mix(puzzles);
i... | {
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"tags": "java, android",
"url": null
} |
thermodynamics, thermal-conductivity
$$T\left[\frac{1}{R_{Al}}+\frac{1}{R_{S}}+\frac{1}{R_{Cu}}\right]=\frac{T_{Al}}{R_{Al}}+\frac{T_{S}}{R_{S}}+\frac{T_{Cu}}{R_{Cu}}\longrightarrow(7)$$.
Now, knowing the resistances, we can calculate $T$. | {
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gazebo
Doing this: std::string pathy = gazebo::common::SystemPaths::FindFileURI("model://WAM Model/forGazebo");
gives /home/benjaminblumer/.../set_joints.cc: In member function ‘virtual void gazebo::SetJoints::Load(gazebo::physics::ModelPtr, sdf::ElementPtr)’: /home/benjaminblumer/.../plugins/set_joints.cc:49:99: er... | {
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information
Title: Number of bits needed to express physical laws? What is the minimum number of bits that would be needed to express a given physical law, like the law of universal gravitation? How many bits are needed to express each of the four fundamental forces? Is there a pattern here? One productive way of thin... | {
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This is a great question and your example with group quotients perfectly highlights why one has to be careful about notions of identity when doing maths. To answer your question,
Can I interchange G and G′ whenever and wherever I want?
The answer is yes, as long as you are 100% sure that you are thinking of both grou... | {
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"tag... |
filters, discrete-signals, fourier-transform, dct
and these are the regular time intervals
0.0
0.03317536
0.06635072
0.09952608
0.13270144
0.1658768
0.19905217
0.23222753
0.26540288
0.29857823
0.33175358
0.36492893
0.39810428
0.43127963
0.46445498
0.49763033
0.5308057
0.56398106
0.5971564
0.63033175
0.6635071
0.696682... | {
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"tags": "filters, discrete-signals, fourier-transform, dct",
"url": null
} |
quantum-mechanics, operators, inertial-frames, harmonic-oscillator, galilean-relativity
$$
\psi_0(x) = Ae^{-\frac{1}{2}x^2}\;,
$$
where $A$ is the usual normalization constant ($1/\pi^{1/4}$, or whatever), and where I am setting $m=\hbar=\omega=1$ to help keep my typing brief. (But it is straightforward to fill those ... | {
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"tags": "quantum-mechanics, operators, inertial-frames, harmonic-oscillator, galilean-relat... |
piecewise function: The lines meet at y = -1, with y = x + 2 going to the left and going to the right. Some examples of using $$\LaTeX$$ in R Markdown documents. Below are some links to resources that will help you learn LaTeX. High-and low-position is indicated via the characters ^ and _ and is not explicitly specifie... | {
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"lm_q1q2_score": 0.8230784700708867,
"lm_q2_score": 0.8740772384450968,
"openwebmath_perplexity": 1082.4945639665957,
"openwebmath_score": 0.8453951478004456,
"tags": ... |
astronomy, sun, stars, stellar-population
Title: Is there a way to tell what centile of the overall sample a star's mass is in? One hears that hyper-giant stars like Eta-carinae represent the upper bound on stellar mass at about 130 solar masses. At the lower end there are red dwarfs with as little as 0.075 solar mas... | {
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"tags": "astronomy, sun, stars, stellar-population",
"url": null
} |
general-relativity, spacetime, mass, cosmological-constant, de-sitter-spacetime
It is known that there is no well-defined notion for the mass in asymptotically de Sitter spacetime since in such spacetimes the Killing vector of time translational symmetries is spacelike at future null infinity, and not timelike. All no... | {
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"tags": "general-relativity, spacetime, mass, cosmological-constant, de-sitter-spacetime",
... |
classification, decision-trees, classifier
Now, let's begin building the tree:
The first thing we have to do is find every combination of feature and value:
(A,0), (A,1), (B,0), (B,1), (C,0), (C,1),
then, we split the data using every combination and measure it's cost. Since all the features are binary here, splitting... | {
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"openwebmath_score": null,
"tags": "classification, decision-trees, classifier",
"url": null
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visible-light, units, estimation, si-units
Title: How bright is the night sky in $\frac{\mathrm{W}}{\mathrm{m}^2}$? I'm looking at the Wikipedia page on sky brightness, which gives the answer in "S10" units.
I've looked at the definition of S10 and I'm still completely at a loss as to how to convert that to SI units o... | {
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"tags": "visible-light, units, estimation, si-units",
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python, python-2.x
if equation_id == 1:
ret = force_bouyant( dense , volume )
elif equation_id == 2:
ret = force_centripetal( mass, veloc, radius )
elif equation_id == 3:
ret = force_electrical( charge , charge2, radius )
elif equation_id == 4:
ret = force_gravity( mass , ma... | {
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"tags": "python, python-2.x",
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pushdown-automata, efficiency, parsers
Title: Parsing CFLs (simulating PDA vs CYK algorithm) We can simulate the PDA and parse the language with the following operations (vaguely):
Read the input symbol and top of stack - $O(1)$
Check all the transition rules (must check all for non-determinism) - $O(|Transition rule... | {
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ros, moveit, kuka
</geometry>
</visual>
<collision>
<origin rpy="0 0 0" xyz="0 0 0"/>
<geometry>
<mesh filename="package://kuka_kr16_support/meshes/kr16_2/collision/link_3.stl"/>
</geometry>
</collision>
</link>
<!-- link 4 -->
<link name="link_4">
<inertial>
<orig... | {
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safety, gas
Title: Rotten Egg Gas Smell Background context for question
When I was young, we'd go fishing. And Dad would put a camper on the back of the truck. One time we came back in after fishing and the camper smelled like rotten eggs. He used that as an opportunity to teach us how some gases are tasteless/odorl... | {
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"tags": "safety, gas",
"url": null
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thermodynamics, gas-laws
Title: What are the possible changes that might occur if I add an inert gas to a chamber containing another few different gases? As an example, let's assume that we have a gas $\ce{P(g)}$ inside a chamber and when the temperature inside it increases to a certain value there is an equilibrium t... | {
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"tags": "thermodynamics, gas-laws",
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ros-melodic
<node name="joint_state_publisher" pkg="joint_state_publisher" type="joint_state_publisher" />
<node name="robot_state_publisher" pkg="robot_state_publisher" type="state_publisher" />
<node name="rviz" pkg="rviz" type="rviz" args="-d $(find omni_description)/urdf.rviz" required="true" />
</launch>
ED... | {
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"tags": "ros-melodic",
"url": null
} |
gazebo, ubuntu, ubuntu-oneiric
#7 0x00007ff6edba94d2 in gazebo::Factory::Factory() () from /opt/ros/electric/stacks/simulator_gazebo/gazebo/gazebo/lib/libgazebo_server.so.0.10.0
#8 0x00007ff6edb7f4e2 in gazebo::World::Load(gazebo::XMLConfigNode*, int) () from /opt/ros/electric/stacks/simulator_gazebo/gazebo/gazebo/l... | {
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"tags": "gazebo, ubuntu, ubuntu-oneiric",
"url": null
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python, algorithm, python-3.x, sorting, quick-sort
return [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p]
#and this is the quicksort algorithm!
def swiftsort(lst):
l = len(lst)
if l < 17:
return sorting_network(lst)
elif l < 128:
a = lst[0]
b = lst[l // 2]
c = lst[-1... | {
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} |
ros, moveit, ros-melodic, universal-robots
Comment by cambel07 on 2021-02-12:
Thanks for the patience, I'm sure this is what I tried yesterday. But I will test it again next week.
Comment by fvd on 2021-02-12:
Looks right to me. Could be a simple mixup from something else (forgot to save, forgot to restart, wrong work... | {
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deep-learning, cnn
Title: Will this MAPE implementation work for multidimensional output? I'm currently working on a CNN problem where the output is a 60x59 array of numerical values. I want to verify if the mean absolute percentage error (MAPE) function I'm employing will properly consider the error by matching each ... | {
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"tags": "deep-learning, cnn",
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python, object-oriented, battle-simulation, pokemon
class Player:
def __init__(self,name,health,types,defense,offense,quickness,experience=0):
'''initilzies the health, types, defense point, offense point and quickness point.'''
Player.name=name
Player.health=health
Player.types=types
Player.defe... | {
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python, optimization, programming-challenge, python-2.x
Add tests :
You can easily define new tests, it can also be a good idea to check how your code behaves on bigger inputs :
for i in range(2, 10):
# fence of constant height
for h in range(1,3):
fence = [h] * i
assert len(fence) == i
... | {
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"tags": "python, optimization, programming-challenge, python-2.x",
"url": null
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homework-and-exercises, electromagnetism
Title: Current Carrying Coil - Torque i'm stuck on how to answer the last part of this question and would really appreciate some pointers.
A rectangular coil (sides $a = 15 \, \mathrm{cm}$ and $b = 20 \, \mathrm{cm}$, $m= 15 \, \mathrm{g}$), is suspended by one
of its shorte... | {
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10. Originally Posted by sinewave85
First you need to multiply throught the parentheses:
$\frac{2}{3}(12t - 18) +2t -30 = \left(\frac{2}{3}\right)(12t) - \left(\frac{2}{3}\right)(18) + 2t - 30 = 8t -12 +2t - 30$
Then you can just add like terms:
$8t -12 +2t - 30 = 10t -42$
Lets pick up again from here. Sorry about t... | {
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"... |
algorithm, array, vba
Title: Find all differences between 2 strings I pulled this out of my code bucket and dusted it off earlier today in response to a post over on SO that made me cringe. This was originally written to highlight changes in Excel cells in real time via Worksheet_Change, so it is designed with an eye... | {
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c#, observer-pattern
/// <summary>
/// Wraps an existing object in an <code>ObservableObjectProxy</code> that is observed by the controller.
/// </summary>
/// <typeparam name="T">Type of the object to wrap</typeparam>
/// <param name="obj">Object to wrap</param>
/// <returns></returns>
public ... | {
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Case 1. Some member of $$\mathcal A$$ is a finite set.
Thus $$\mathcal A\cap X^{(r)}\ne\emptyset$$ for some positive integer $$r$$. Now, if there are sets $$A,B\in X^{(r)}$$ such that $$|A\cap B|=r-1$$, $$A\in\mathcal A$$, and $$B\notin\mathcal A$$, then we can take a maximal chain $$\mathcal C$$ extending the chain $... | {
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"lm_q2_score": 0.8539127585282744,
"openwebmath_perplexity": 40.06309347621554,
"openwebmath_score": 0.961329460144043,
"tags... |
general-relativity, gravity, black-holes
Title: A Hollow Black Hole I was just reading a question about the gravity inside a hollow neutron star. It was a trivial question, obviously there is no force felt. But then it got me thinking.
Suppose you had a hollow sphere that was massive enough that outside of it, it beca... | {
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"tags": "general-relativity, gravity, black-holes",
"url": null
} |
quantum-mechanics, wave-particle-duality, phonons, quasiparticles
One should bear in mind, though, that an electron is considered a fundamental particle in the Standard Model, while a phonon is really a simplified description of the complicated quantised motion of an enormous number of lattice ions. This is because we... | {
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"tags": "quantum-mechanics, wave-particle-duality, phonons, quasiparticles",
"url": null
... |
empirical-research, metrics
Title: Which maintainability metric has the strongest empirical evidence? There are lots of code metrics that claim to measure maintainability, e.g. CK and Li & Henry metric suits. However, it seems elusive to me to find a meta-study that compares different metrics to decide their current e... | {
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"tags": "empirical-research, metrics",
"url": null
} |
machine-learning, r, xgboost
attached base packages:
[1] stats graphics grDevices utils datasets methods base
other attached packages:
[1] plyr_1.8.4 car_2.1-4 acepack_1.4.1 Ckmeans.1d.dp_3.4.6-4
[5] Hmisc_4.0-0 Formula_1.2-1 survival_2.40-1 me... | {
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So, you can compute $P(E | A) = P(D|A)(1-P(L|A)) + P(L|A)(1-P(D|A))$.
And from that you can apply Bayes formula to get $\displaystyle P(A | E) = \frac{P(E|A) P(A)}{P(E)}$
The denominator, of course, if computed by summing the numerator for all aircrafts (A, B ,C).
-
For the purpose of learning, if $A,B$ are independ... | {
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"ta... |
sql, mysql
CREATE TABLE NAME (
nameId MEDIUMINT UNSIGNED NOT NULL AUTO_INCREMENT,
userId MEDIUMINT UNSIGNED,
lastName VARCHAR(100) NOT NULL,
firstName VARCHAR(100) NOT NULL,
PRIMARY KEY(nameId),
CONSTRAINT FOREIGN KEY(userId) REFERENCES USER(userId)
ON DELETE CASCADE ON UPDATE CASCADE) The CONSTRAINT word used within... | {
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"openwebmath_score": null,
"tags": "sql, mysql",
"url": null
} |
ions, electrons, electronic-configuration, ionic-compounds
Title: Very elementary question about valence electrons of ionic compound In a university entrance question, I found this question:
What is the number of valence electrons of $\ce{Mg(OH)2}$? Answer = 24 | {
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"tags": "ions, electrons, electronic-configuration, ionic-compounds",
"url": null
} |
information-theory, fidelity, linear-algebra
Title: Clarification on Watrous' proof of Alberti's theorem on the fidelity function I am reading John Watrous' quantum information theory book. In the proof of Theorem 3.19 (practically the Alberti's theorem on the characterization of the fidelity function) he claims the f... | {
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"tags": "information-theory, fidelity, linear-algebra",
"url": null
} |
is highly rated by Mathematics students and has been viewed 176 times. One common point of confusion is the fact that false statements can imply anything. In this course we shall discuss Real Analysis as per the syllabus prescribed by UPSC. It provides a rigorous foundation of introductory mathematical analysis. AMATH ... | {
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"openwebmath_perplexity": 1089.603905556381,
"openwebmath_score": 0.4706494212150574,
"... |
c++, c, regex, bash, grammar
Output (in the same file):
// Those parameters control foo and bar... <- valid comment
int t = 5;
int k = 2*t;
(if you want to add your modifications in a different file, just remove the -i from sed -i)
The script can be called just like: ./script.sh file.cpp, it may show several GCC erro... | {
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"tags": "c++, c, regex, bash, grammar",
"url": null
} |
gravity, weight
Title: Mounting spots for a rectangular shaped object on a wall for optimal weight distribution I want to mount a rectangular metal plate (45 cm height, 32 cm width, 0.5 cm thickness) to my wall. For that I plan to glue magnet plates to my wall.
A proper weight distribution on the mounting magnets is k... | {
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"tags": "gravity, weight",
"url": null
} |
python, performance, cython
TeamResults = List[TeamResult]
def get_team_points(team: Team, team_result: TeamResult) -> Points:
"""
Returns how many points the given team earned with the given team result.
"""
team = calculate_team_points(team, team_result)
team = apply_captaincy(team)
retu... | {
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"openwebmath_score": null,
"tags": "python, performance, cython",
"url": null
} |
java, beginner, game
System.out.print("Player2 name: ");
player2 = input.next();
do {
System.out.println(String.format("\nA:%s\tB:%s\tC: %s", pile[0], pile[1], pile[2]) );
player = playerTurn(player1, player2, nbOfTurns);
do{
System.out.print(String.format("\n%s,Choose a pile: ", p... | {
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"openwebmath_score": null,
"tags": "java, beginner, game",
"url": null
} |
homework-and-exercises, nuclear-physics, mass-energy, binding-energy
Title: Error in calculating binding energy of Beryllium 8 I don't know where I am going wrong with regards to calculating the binding energy of $^8$Be. This is what I am doing:
I look up online and find that the mass excess of $^8$Be is $5305 \mu$u. ... | {
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"tags": "homework-and-exercises, nuclear-physics, mass-energy, binding-energy",
"url": nu... |
catkin-make, catkin
+ [ -n ]
+ cd /home/shahensha/Development/RobotSim/Python/Sphero/src/sphero_ros/sphero_driver
+ /usr/bin/env PYTHONPATH=/home/shahensha/Development/RobotSim/Python/Sphero/install/lib/python2.7/dist-packages:/home/shahensha/Development/RobotSim/Python/Sphero/build/lib/python2.7/dist-packages:/opt/r... | {
"domain": "robotics.stackexchange",
"id": 15635,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "catkin-make, catkin",
"url": null
} |
python, neural-network, classification, clustering, keras
Title: What is the best Keras model for multi-class classification? I am working on research, where need to classify one of three event WINNER=(win, draw, lose)
WINNER LEAGUE HOME AWAY MATCH_HOME MATCH_DRAW MATCH_AWAY MATCH_U2_50 MATCH_O2_50
3 ... | {
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"tags": "python, neural-network, classification, clustering, keras",
"url": null
} |
ros, nav2d-exploration, nav2d, transform
Originally posted by robo_explorer on ROS Answers with karma: 29 on 2015-10-26
Post score: 0
The second robot doesn't have a mapper in your launch file, so it won't be able to navigate. Have you tried to run tutorial4 from nav2d? This should already do what you are trying.
"re... | {
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"tags": "ros, nav2d-exploration, nav2d, transform",
"url": null
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Moreover, if you want to know about the logic in general terms this article could be useful.
Logic, originally meaning "the word" or "what is spoken", but coming to mean "thought" or "reason", is a subject concerned with the most general laws of truth, and is now generally held to consist of the systematic study of th... | {
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"tags... |
| In |geometry|, various |formalisms| exist to express a |rotation| in three |dimensions| a World Heritage Encyclopedia, the aggregation of the largest online encyclopedias available, and the most definitive collection ever assembled. Quat returns a quaternion representing the. Consider the original set of basis vector... | {
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"openwebmath_score": 0.5945829749107361,
... |
error-correction, stim
In stim, there's no built-in notion of a stabilizer code. There are some utilities like stim.PauliString/stim.Tableau/stim.TableauSimulator that enable you to operate on stabilizers in complex ways, but ultimately the closest you can get to just-define-a-stabilizer-code is to create a stim.Circu... | {
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"tags": "error-correction, stim",
"url": null
} |
environmental-chemistry, iron
Title: How is there still iron on earth? Iron rusts and the earth is pretty old, so how is it that there is still iron left that has not oxidized(/rusted)?
I tried looking it up, and the amount of iron on earth is mind boggling, but is that it?
Is there simply enough iron that not all of ... | {
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"tags": "environmental-chemistry, iron",
"url": null
} |
quantum-electrodynamics, wave-particle-duality
Feynmann is quite correct that the wave/particle duality is a naive idea, and one now superceded by quantum field theory. But just because an idea is naive doesn't mean it isn't useful. There isn't a best way of calculating the behaviour of physical systems just like ther... | {
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"tags": "quantum-electrodynamics, wave-particle-duality",
"url": null
} |
compilers, functional-programming, proof-assistants, continuations
Title: The "CPS" approach has done great harm to performance in SML/NJ; reasoning desired In a comment to Learning F#: What books using other programming languages can be translated to F# to learn functional concepts? Makarius stated:
Note that the "C... | {
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"tags": "compilers, functional-programming, proof-assistants, continuations",
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python, beginner, random, quiz
Title: Math equation generator program I am building this program in Python to generate 10 random arithmetic questions of either multiplication, addition or subtraction and then saves users scores to a .txt file. I just wanted some help condensing the code as I'm really stuck as of what ... | {
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"openwebmath_score": null,
"tags": "python, beginner, random, quiz",
"url": null
} |
space, rocket-science, space-travel
Title: Get into orbit from the Redbull jump position to a satellite position by using a cord/rope? Its difficult to put this into the title.
I was watching the Redbull Jump and noticed that the height of this is at 39 kilometres (24 mi) the atmosphere pressure is at I believe about ... | {
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"tags": "space, rocket-science, space-travel",
"url": null
} |
algorithms, time-complexity, np-complete, np-hard
An example solution might look like this:
This shows that a greedy approach (like scheduling (1) and (2) simultaneously) is not sufficient -- you have to look ahead to minimize waiting for resources. This problem (more formally its decision version) is NP-complete.
NP... | {
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"tags": "algorithms, time-complexity, np-complete, np-hard",
"url": null
} |
Am I doing a mistake? Or are there many different power series representation for a given function? Any clarification would be highly appreciated.
• It depends where you want to center your power series. Setting a given center, the power series representation is unique (and it exists for an holomorphic function). – Pa... | {
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ros, rosbag, camera-info, best-practices, transform
Title: Rosbag: Recording configurations or regenerate later?
I've been wondering what's the ideal way to deal with changing configurations that get published over the wire. This can get very complex, but I'm hoping someone has experience with this (I'm sure the PR2... | {
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The Chebyshev polynomials of the second kind have the property that:
$$U_n(\cos\theta) = \frac {\sin (n+1)\theta}{\sin \theta}$$
So $U_n(x)$ has roots equal to $\displaystyle \cos\left( {\frac{\pi k}{n+1}}\right)$.
You have to eliminate the roots of $U_8(x)$ that are roots of smaller polynomials.
-
See formulae 22.... | {
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"openwebmath_perplexity": 389.6490856630421,
"openwebmath_score": 0.9049112200737,
"tags":... |
complexity-theory, lower-bounds, communication-complexity
Title: Particular function communication complexity computation Consider a boolean function $f:\{0,1\}^n\rightarrow\{0,1\}$. If $f$ satisfies $f(\bar{0})=0$ where $\bar{0}$ is vector of $0$, $f(x)=1$ with every $0/1$ vector of hamming weight $1$, then communica... | {
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"tags": "complexity-theory, lower-bounds, communication-complexity",
"url": null
} |
ros, ros2, embedded
#if !defined(MICRO_ROS_TRANSPORT_ARDUINO_SERIAL)
#error This example is only avaliable for Arduino framework with serial transport.
#endif
// ============================================================================
// INSTANCES, OBJECTS
// ======================================================... | {
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"tags": "ros, ros2, embedded",
"url": null
} |
electric-current, electrical-resistance, superconductivity, dissipation
Title: Does current in a superconducting circuit ever decay? Once a current has been started in a superconducting loop, say by induction, will it truly stay on forever or is it intrinsically doomed to decay, albeit slowly?
For example, can radiati... | {
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"url":... |
So very likely, it is a minimum point. This is one quick way to make decision in daily work but by no means a mathematical proof. To prove it, you need calculate it Hessian matrix.
• Hessian matrices tell you whether or not a LOCAL extrema is an ABSOLUTE extrema? Are you sure about that? Please give me a reference. I ... | {
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"openwebmath_perplexity": 386.52406709604435,
"openwebmath_score": 0.6661906838417053,
"tag... |
discrete-signals, linear-systems, homework
Title: Simplfiying a system output equation I have a problem getting the final (simplified) version of the system's (in the figure below) output equation y[n]: | {
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"tags": "discrete-signals, linear-systems, homework",
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} |
cc.complexity-theory, ds.algorithms, sat, np, polynomial-time
Title: Complexity of a satisfiability problem I would like the know the complexity of a specific satisfiability problem. I have a feeling it could be solved in polynomial time, but I am not sure about it. The problem is described below.
Given $n$ boolean va... | {
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scattering, superconductivity
$$\left(\begin{array}{cc}
H_{0}\left(p\right) & \Delta\\
-\Delta^{\ast} & -H_{0}^{\ast}\left(-p\right)
\end{array}\right)\left(\begin{array}{c}
u_{\uparrow}\\
v_{\downarrow}
\end{array}\right)=\varepsilon\left(\begin{array}{c}
u_{\uparrow}\\
v_{\downarrow}
\end{array}\right)$$
and $$\left... | {
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "scattering, superconductivity",
"url": null
} |
quantum-mechanics, hilbert-space, operators
so that the relation takes form
$$
\sum_na_n\mathcal{P}_{a_n}^A+
\sum_nb_n\mathcal{P}_{b_n}^B=
\sum_nc_n\mathcal{P}_{c_n}^C.
$$
Note that the summation over $n$ is misleading as well, as the different space are not necessarily indexed in the same way and not necessarily mapp... | {
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"tags": "quantum-mechanics, hilbert-space, operators",
"url": null
} |
quantum-field-theory, particle-physics, scattering-cross-section, s-matrix-theory
Title: S-Matrix Interpretation and Predictions How does one distinguish between the second-loop contribution of a known particle, and the first-loop contribution of a more massive-and as yet undiscovered-particle in the S-matrix and/or d... | {
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"tags": "quantum-field-theory, particle-physics, scattering-cross-section, s-matrix-theory"... |
ros
Originally posted by Stephan with karma: 1924 on 2012-09-05
This answer was ACCEPTED on the original site
Post score: 1
Original comments
Comment by aldo85ita on 2012-09-11:
Thanks @Stephan, If I run mono_odometer and if I set CameraInfo with the following command:
rosrun viso2_ros mono_odometer _camera_height:=0... | {
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"tags": "ros",
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} |
Solution
C31
For the matrix $A$ below find a set of vectors $T$ meeting the following requirements: (1) the span of $T$ is the column space of $A\text{,}$ that is, $\spn{T}=\csp{A}\text{,}$ (2) $T$ is linearly independent, and (3) the elements of $T$ are columns of $A\text{.}$ \begin{equation*} A= \begin{bmatrix} 2 & ... | {
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"openwebmath_perplexity": 144.48185733870667,
"openwebmath_score": 0.9492066502571106,
"tags": null,
... |
# Simplify : $( \sqrt 5 + \sqrt6 + \sqrt7)(− \sqrt5 + \sqrt6 + \sqrt7)(\sqrt5 − \sqrt6 + \sqrt7)(\sqrt5 + \sqrt6 − \sqrt7)$
The question is to simplify $( \sqrt 5 + \sqrt6 + \sqrt7)(− \sqrt5 + \sqrt6 + \sqrt7)(\sqrt5 − \sqrt6 + \sqrt7)(\sqrt5 + \sqrt6 − \sqrt7)$ without using a calculator .
My friend has given me this... | {
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"lm_q1q2_score": 0.8424453961949769,
"lm_q2_score": 0.8558511451289037,
"openwebmath_perplexity": 296.2763614273911,
"openwebmath_score": 0.962401807308197,
"tags"... |
# Triangle Inequality question with fractions
Given $a, b \in \mathbb{R}$, prove that
$$\frac{|a + b|}{1 + |a + b|} \le \frac{|a|}{1 + |a|} + \frac{|b|}{1+|b|}$$
When does equality hold?
The only useful thing I could get (using the triangle inequality) is:
\begin{align}1 + \left|\left(a + \frac{ab}{2}\right) + \le... | {
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"lm_q1_score": 0.9883127437254887,
"lm_q1q2_score": 0.8080192803563119,
"lm_q2_score": 0.8175744828610095,
"openwebmath_perplexity": 610.652423786401,
"openwebmath_score": 0.8477045297622681,
"tags... |
java, web-scraping
List<WeeklyResult> weeklyResults = scraper.scrape();
System.out.println(weeklyResults);
for (final WeeklyResult weeklyResult : weeklyResults) {
System.out.println("Week: " + weeklyResult.getWeek() + " No.1: " + weeklyResult.getPlayerName());
}
}
}
WeeklyResul... | {
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"id": 38598,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, web-scraping",
"url": null
} |
tensor-calculus, notation
Title: Anti-symmetrization brackets break Einstein summation convention How does one properly evaluate something of the form
$$
g_{a}^{\, [b} R_{c] b}~?
$$
when I try to expand using the definition of anti-symmetrization brackets the Einstein summation seems to break:
$$
g_{a}^{\, [b} R_{... | {
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"id": 56711,
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"openwebmath_score": null,
"tags": "tensor-calculus, notation",
"url": null
} |
javascript, design-patterns, node.js, ecmascript-6, promise
Title: Using Bluebird with fs to read a file within each of an (variable length) array of directories I'm reading an array (of unknown length) of modules package.json files in order to extract the "style" property and store it in an array of its own:
var gulp... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "javascript, design-patterns, node.js, ecmascript-6, promise",
"url": null
} |
c#
Title: Dynamically sorting with IComparer I have the following code I would like reviewed. I was recently tasked with sorting products coming from SOLR. The sorting is not by description or by the product number but rather by the below criteria. Normally I use linq to use grouping and sorting, but in this case I ha... | {
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"id": 7473,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c#",
"url": null
} |
energy, magnetic-fields, electric-fields, acceleration
Title: Potential energy change in a cyclotron Every source I've referred to elaborates on the 'energy of the particle' in a cyclotron to have increased by the time it exits, as it's been accelerated multiple times by an electric field. It is the kinetic energy the... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "energy, magnetic-fields, electric-fields, acceleration",
"url": null
} |
algorithm, object-oriented, game, objective-c, ai
DMMatch *bestMatch = nil;
int highestScore = 0;
NSArray *bestMatchBoardEvalPairs = [self bestMatchBoardEvalPairs:2 ForPairs:[self allMatchBoardEvalPairsForBoard:_board]];
for (DMMatchBoardEvalPair *pair in bestMatchBoardEvalPairs) {
int fullMatch... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "algorithm, object-oriented, game, objective-c, ai",
"url": null
} |
quantum-mechanics, quantum-spin, spinors, observables, quantum-measurements
In principle the effects of the $SU(2)$ rotations can be calculated quite easily, but it is not clear to me how they can be measured. The following is just a collection of ideas.
Regarding (1) a first idea – but there may be others – goes into... | {
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"tags": "quantum-mechanics, quantum-spin, spinors, observables, quantum-measurements",
"u... |
wpf, rubberduck, xaml
<WrapPanel>
<Button Style="{StaticResource LinkButton}" Margin="4"
Visibility="{Binding CanExecuteQuickFixInModule, Converter={StaticResource BoolToVisibility}}"
Command="{Binding QuickFixInModuleCommand}"
Con... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "wpf, rubberduck, xaml",
"url": null
} |
javascript, jquery, callback
otherArgs and context are already available as closures, so there's no reason to pass them to a function, just to create new closures there.
So, yeah, your function will work, but it's unnecessary and overly complex, while being less versatile than the alternatives you already have at hand... | {
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"tags": "javascript, jquery, callback",
"url": null
} |
navigation, ros-hydro, tf2, local-planner, global-planner
[DEBUG] [1386166204.777927638]: Publishing feedback for goal, id: /waypoint_management_node-1-1386166204.372833387, stamp: 1386166204.37
[DEBUG] [1386166204.779469173]: Publishing feedback for goal with id: /waypoint_management_node-1-1386166204.372833387 and s... | {
"domain": "robotics.stackexchange",
"id": 16336,
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"lm_q2_score": null,
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"tags": "navigation, ros-hydro, tf2, local-planner, global-planner",
"url": null
} |
quantum-mechanics, homework-and-exercises, angular-momentum, hilbert-space, probability
$\langle v_1\vert\psi\rangle^2 = \frac{1}{6}(3+\sqrt{3})$
$\langle v_2\vert\psi\rangle^2 = \frac{1}{6}(3-\sqrt{3})$ | {
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"tags": "quantum-mechanics, homework-and-exercises, angular-momentum, hilbert-space, probab... |
waves, fourier-transform, complex-numbers
Title: Wave- vs Helmholtz- equation I first have to say that I only have a limited education in physics, so I hope this is not a nonsensical question.
I'm trying to understand the connection between the wave equation
$$\partial_{tt} u - c^2 \Delta u = f \tag{W}\label{W}$$
and... | {
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"tags": "waves, fourier-transform, complex-numbers",
"url": null
} |
$\mathbf{Edit:}$ OK, I have overdone it, and one of the paragraphs will be good enough. For example, using the first one (for any given $a\in\mathbb{Z}$), \begin{align} a = \lfloor x/4 \rfloor & \iff a \leq x/4 < a+1 \\ & \iff 2a \leq x/2 < 2(a+1) \\ & \iff \lfloor x/2 \rfloor \in \{2a,2a+1\} \\ & \iff \lfloor x/2 \rfl... | {
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"lm_q1q2_score": 0.8162863293799943,
"lm_q2_score": 0.8354835432479661,
"openwebmath_perplexity": 320.24688056698415,
"openwebmath_score": 0.9855297803878784,
"ta... |
c++, c++11, networking, socket
WSAStartup and WSACleanup already include counting inside of them, so it's probably simpler to just always call them in the constructor/destructor of sockets. I can't vouch for the performance implications of that, but I would imagine it's just a simple increment and decrement with exact... | {
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"tags": "c++, c++11, networking, socket",
"url": null
} |
c++, console, winapi
if (wss.fail()) {
wcerr << L"Error: bad priority class selector (" << args[2] << L")\n";
return EXIT_FAILURE;
}
if (!MyCheckPriorityClassSelection(priorityClassSelection)) {
wcerr << L"Error: bad priority class selection: "
<< priorityClassSelection
... | {
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"tags": "c++, console, winapi",
"url": null
} |
beginner, rust, wordle
fn apply_learning(knowledge: &Knowledge, guess: &String, response: &GuessResponse) -> Knowledge {
let mut new_words = knowledge.guessed_words.clone();
new_words.push(guess.to_string());
Knowledge {
guessed_words: new_words,
correct_letters: knowledge
.corr... | {
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"tags": "beginner, rust, wordle",
"url": null
} |
• Recognizable way of thinking. – drhab Aug 6 '16 at 9:33
Something more abstract for intuition:
Let $M$ be a monoid (group if you like). Then we usually define: $\prod_{i=1}^0 a_i$, i.e. the empty product to be the identity of that monoid.
The case of infima is completely analogous. Let: $$a \wedge b:= \min(a,b) = ... | {
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"lm_q2_score": 0.8333245932423308,
"openwebmath_perplexity": 272.9995042320769,
"openwebmath_score": 0.8363492488861084,
"tag... |
h. Evaluate C.
i. Compute Q(7), the amount of glucose produced during the day.
Exercise 10.3.5 “Based on studies using isolated animal pancreas preparations
maintained in vitro, it has been determined that insulin is secreted in a biphasic manner in response to a marked increase in blood glucose. There is an initial... | {
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"lm_q1_score": 0.9910145699205374,
"lm_q1q2_score": 0.8055633643744986,
"lm_q2_score": 0.8128673269042767,
"openwebmath_perplexity": 1695.6033027463616,
"openwebmath_score": 0.7549728751182556,
"tags"... |
statistical-mechanics, ising-model
Title: Ising model on torus It's expected that the pressure of the Ising model on a $d$-dimensional discrete torus with side length $L$ converges to the mean-field Ising model pressure as the dimension $d$ goes to infinity. Is there a rigorous proof for this fact? Intuitively this i... | {
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"tags": "statistical-mechanics, ising-model",
"url": null
} |
composite-resin
Title: Stop cardboard from warping when impregnating with polyester resin I have a guitar and also the rectangular cardboard box which it was delivered in. I want to make a more durable carry case for the guitar using the cardboard delivery box. It seems a shame to throw away a perfectly good box which... | {
"domain": "engineering.stackexchange",
"id": 5292,
"lm_label": null,
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"openwebmath_score": null,
"tags": "composite-resin",
"url": null
} |
javascript, design-patterns, d3.js
The library code which uses the MDP:
var canvas = (function ()
{
// private
var svg;
var margin, width, height, x_pos, y_pos;
var initialise = function () { svg = d3.select("body").append("svg") }
var set_position = function (x, y) { x_pos = x; y_pos = y;}
va... | {
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"id": 20229,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "javascript, design-patterns, d3.js",
"url": null
} |
physical-chemistry, acid-base, thermodynamics, free-energy
$$\Delta G_{mix} = \Delta H_{mix} - T\Delta S_{mix} $$
As a result, the Gibbs free energy will be negative and should account for the discrepancy between the two calculations. | {
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"tags": "physical-chemistry, acid-base, thermodynamics, free-energy",
"url": null
} |
error-correction, stabilizer-code
Credit goes to my colleague, Andrew Nemec, who should be on SE but didn't feel like creating an account yet. | {
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"tags": "error-correction, stabilizer-code",
"url": null
} |
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