text stringlengths 49 10.4k | source dict |
|---|---|
can achieve exactly what you're looking for using your second approach: use amsmath and then change the ticklabels to be a different font. This MATLAB function converts matrices, cells or tables from MATLAB to LaTeX table code. Union (∪) and Intersection (∩) symbols in LaTeX can be produced via the \cup and \cap defini... | {
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javascript
var icons6 = [
{"name": (filename + "_854x480"), "width":854, "height":480},
{"name": (filename + "_1024x576"), "width":1024, "height":576},
{"name": (filename + "_1280x720"), "width":1280, "height":720},
{"name": (filename + "_1366x768"), "width":1366, "height":768},
... | {
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} |
\left( S_{\omega\epsilon} \Gamma^\epsilon_{\alpha\delta} \right) && \text{commutativity/associativity} \\ &= \Gamma^\epsilon_{\gamma\beta} \Gamma_{\epsilon,\alpha\delta} && \text{lower the index of second term and rename the contracted index } \omega \rightarrow \epsilon \\ } We see that the result is the same as the i... | {
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) n matrices built-in step-by-step solutions and the eigenvectors for all i and.. Step-By-Step solutions Language using AntisymmetricMatrixQ [ m ] on your own F on the natural numbers an. They are =4 and =2 unlimited random practice problems and answers with built-in step-by-step solutions B −1 B... Antisymmetric relat... | {
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$k = - \int_{ - 1}^1 {\frac{{\sin u}}
{{1 + u^2 }}\,du} .$
Hence, our original integral satisfies $k+k=0\implies k=0.$
(Ahh, I just saw you edited your original question: an odd function $f(x)$ satisfies $f(-x)=-f(x).$ When having integrals whose function is odd besides if they're taken on a symmetric interval $[-a,a... | {
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Back when I started messing around with code, I was told to try out Project Euler to improve my coding skills (something I suggest everyone do). I was able to progress fairly well along but I always struggled with the questions involving prime numbers because I could never get my code to run efficiently on them.
I loo... | {
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Now, if $f := \|.\|_1$, and we define the cube $C^{(n)} := \{z \in \mathbb R^n|\|z\|_\infty \le \lambda\} = C^{(1)} \times \ldots \times C^{(1)}$, then $f^*\left(\frac{a}{\lambda}\right) = i_{C^{(n)}}(a)$ (see why here), and so $$\text{prox}_{\frac{1}{\lambda} f^*}\left(\frac{a}{\lambda}\right) = \ldots = P_{C^{(n)}}(a... | {
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The product $\binom{i-1}{k-1} \binom{n}{i}$ can be interpreted as the number of ways we can find $k$ subsets $A_j$ of $\{1,2,\ldots,n \}$ such that $$A_r \cap A_s = \emptyset, \forall 1 \le r \lt s \le k \tag{2a}$$ $$a_r \lt a_s, \forall a_r \in A_r, \forall a_s \in A_s, 1 \le r \lt s \le k \tag{2b}$$ $$\sum_{r=1}^{k}|... | {
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"openwebmath_score": 0.9858556389808655,
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ruby, xml
However, if I had control over the XML schema, I'd do this instead:
require 'nokogiri'
def process_array(label,array,xml)
array.each do |hash|
kids,attrs = hash.partition{ |k,v| v.is_a?(Array) }
xml.send(label,Hash[attrs]) do
kids.each{ |k,v| process_array(k,v,xml) }
end
end
end
buil... | {
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• In the problem stated above, there are two towers of different heights. The distance of the tower with height $h_1$ to the horizon is $d_1=\sqrt{2rh_1}$. The distance of the tower with height $h_2$ to the horizon is $d_2=\sqrt{2rh_2}$. Thus, the distance between the towers is $d_1+d_2=\sqrt{2rh_1}+\sqrt{2rh_2}$. If $... | {
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"... |
python, beginner, pygame, fractals
Title: Small Python class for Lindenmayer Systems L-systems are basically rules for recursively rewriting a string, which can be used to characterize e.g. some fractal and plant growth.
I wrote a small class to represent deterministic L-systems and used it for two examples. Any comme... | {
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} |
- solve logarithmic equations step-by-step this website, you just need the function going to with. To get D30 an odd choice '13 at 10:45 “ LnReg ” on a function. Date Mar 8, 2010 ; Tags interpolation logarithmic ; Home is very similar to interpolating linear values on computer... Exponential ( which makes it linear on ... | {
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algorithms, optimization, combinatorics, approximation
The rectangles cannot intersect (otherwise we would just need to find the optimal position for one rectangle and then put all the rectangles in that position.)
In the example above the total sum of values in cells would be $-2 + 4.2 + 2.4 + 3.14 + 2.3 -1.4 + 1 - ... | {
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"tags": "algorithms, optimization, combinatorics, approximation",
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} |
ds.algorithms
So yes, the question is sensible, and it has also essentially been answered.
(Thanks to @user834 for the preprint links.) | {
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with{} Allrealnumbers â,â Allreal numbers* Allreal numbers* Allrealnumbersbetweenâ2and3, includingneitherâ2nor3. The means \"a Example 6: Graph and give the interval notation equivalent: â 3 2 < x < 2. out to our customer service team that is available all the day. INTERVAL NOTATION Open Dots < or > ( ) Close... | {
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... |
So we can split the divisors of $n$ except $\sqrt{n}$ into pairs, hence $n$ has an odd number of divisors.
• I know I'm being stupid, but I have to ask - doesn't 30 = 2 * 3 * 5 have an odd number of divisors? What am I missing? – TV's Frank Nov 17 '16 at 15:02
• @TV'sFrank: $30$ has $3$ distinct prime factors ($2,3,5$... | {
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"tag... |
rosmake, make
Title: About executable files
I'm the new one to ROS.. I have written two cpp file named talker.cpp and listener.cpp in src and i add two lines seeing below in CMakeLists.txt file
rosbuild_add_executable(talker src/talker.cpp)
rosbuild_add_executable(listener src/listener.cpp)
now when i give a command... | {
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"tags": "rosmake, make",
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} |
c++, beginner, object-oriented, role-playing-game
//Pixie
{
"You feel some sort of your dust falling on your face.",
"You cripple the pixie's wing a little bit.",
"The impact of the ground kills you."
},
//Mutant
{
"You see a bright green glo... | {
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"tags": "c++, beginner, object-oriented, role-playing-game",
"url": null
} |
quantum-mechanics, newtonian-mechanics, string-theory, quantum-interpretations, atoms
Title: Quantum mechanics threshold First of all I beg your forgiveness as I am not a physicist and the question I am going to ask may sound silly.
I am aware that beyond a certain threshold in the hierarchy of building blocks of matt... | {
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"tags": "quantum-mechanics, newtonian-mechanics, string-theory, quantum-interpretations, at... |
javascript, angular.js
$urlRouterProvider.otherwise('/tab/events');
});
services.js
angular.module('freedomnation.services', [])
.factory('Podio', ['$localstorage', function ($localstorage) {
var podio = new PodioJS({
authType: 'password',
clientId: 'fnation',
clientSecret: 'client... | {
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"tags": "javascript, angular.js",
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the interval of convergence? (b) Use the first 4 terms of the power series you just obtained to approximate √ 16. a) Use the definition to find the Taylor series centered at c = 1 for f xx ln. For example, look at the power series Using the ratio test, we find that so the series converges when x is between -1 and 1. And... | {
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"lm_q2_score": 0.8354835309589074,
"openwebmath_perplexity": 286.8317080017236,
"openwebmath_score": 0.8921365737915039,
... |
species-identification, entomology
Title: Trying to identify an insect Toady a friend saw an insect in his garden, in the UK (England).
It looks like a combination of a hover wasp, a wasp and a dragonfly. Whist flying, I'd describe it more similar to a dragonfly.
I've used Google images to try and identify it, and com... | {
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"tags": "species-identification, entomology",
"url": null
} |
physical-chemistry, atomic-structure, rare-earth-elements
Why can't we use normal formula as $\sqrt{n(n+2)}\mu_\mathrm{B}$ for them? I calculated $\mu_{\mathrm{eff}}$ for $\ce{Ce^3+}$ ion and got $2.54\mu_\mathrm{B}$ using first formula and $2.83\mu_\mathrm{B}$ using second one, there's a significant difference in two... | {
"domain": "chemistry.stackexchange",
"id": 13725,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "physical-chemistry, atomic-structure, rare-earth-elements",
"url": null
} |
stere-image-proc
Title: Stereo triangulation of points
Hello!
I need to reconstruct 3d position of a tennis ball by using a stereo camera.
I am detecting the ball center positons in the rectified images and pass them to the cv::triangulatePoints(P1, P2, points1, points2, points_out). For the P matrices I use the ones... | {
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} |
c++, strings
begin_word = helper::remove_constness(text_copy, next_word.first);
end_word = helper::remove_constness(text_copy, next_word.second);
}
return text_copy;
}
}
#endif
TitleCase.h
#ifndef TITLE_CASE_H
#define TITLE_CASE_H
#include "Case.h"
#include <algorithm>
#include <ar... | {
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food, nutrition
Supplements aren't intended to be a food substitute because they can't replicate all of the nutrients and benefits of whole foods, such as fruits and vegetables.
and there are three main differences:
Greater nutrition. Whole foods are complex, containing a variety of
the micronutrients your body need... | {
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This could at least serve as a starting point.
With unequal variances, it could also be interesting to ask about reasons for it, specifically if the treatment could have anything to do with it. If so, this post could be of interest.
• Thank you so much for this very detailed response! It is incredibly useful. Can I a... | {
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"openwebmath_score": 0.46610626578330994,
"ta... |
c#, api
I take it back, you won't need a custom route. MVC comes "out of the box" with a {controller}/{action}/{id} route, so for the Detail route, all you need to do is create the proper method.
[HttpGet]
public async Task<IEnumerable<WorkItemDto>> Details()
And
[HttpGet]
public async Task<IEnumerable<WorkItemDto>... | {
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} |
thermodynamics, statistical-mechanics
Title: In Boltzmann distribution, why is the system at the same temperature as the reservoir? Consider a boltzmann distribution where the total energy of the reservoir and the system is $E$. The energy of the system can be $\epsilon_i$ and the energy of the reservoir is $E-\epsilo... | {
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#### Kevin Buzzard (Jul 24 2020 at 22:25):
fin m is a type. A term of type fin m is a pair consisting of a natural number i and a proof that i<m. You take a term of this type apart with cases, which gives you the pair (the number and the proof), and you build terms of this type with the \<i, hi\> constructor, where i ... | {
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"lm_q2_score": 0.8577681086260461,
"openwebmath_perplexity": 3348.954673009072,
"openwebmath_score": 0.3846169710159302,
"tags": ... |
classical-mechanics, forces, string, constrained-dynamics
In the point $P$ a downward (but as you stated not necessarily vertical) force $\vec{F}$ acts on the end of the string. We decompose it into two components: $\vec{F_1}$ which is parallel to the line $OP$ and $\vec{F_2}$ which is perpendicular to the line $OP$.
... | {
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"tags": "classical-mechanics, forces, string, constrained-dynamics",
"url": null
} |
python
I name these input text files "route-costs-N.txt" where N is the scenario number of phone call routes.
The output files are generated as following:
After finding the least cost route for each phone number, write the number and its cost on a comma-separated line of a new text file. If there is no route for a num... | {
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# Math
How do you divide fractions???
Cross multiply:
For example, 4/5 divided by 6/7 would be 28/30 or 14/15.
3/4 divided by 2/3 would be 9/8 or 1 and 1/8
Actually, the word cross multiply is a misnomer. What is being done is multiplying by the reciprocal
for instance 4/5 divide by 6/7 is the same as 4/5 multipl... | {
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"tags": nul... |
homework-and-exercises, newtonian-mechanics, projectile
Find height and velocity after the burn (time $t_1$)
The acceleration needs to account for thrust and gravity $a(t) = F(t)/m - g$ $$\begin{aligned} v(t) & = \int a(t)\,{\rm d}t=\int \limits_0^{t} \left( \frac{F}{m}-g \right) \,{\rm d}t = \left( \frac{F}{m}- g \r... | {
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"url": null
} |
quantum-mechanics, statistical-mechanics
\begin{align*}
\mathrm{tr}(\rho O_S) &= \sum_n \langle \psi_n| \rho O_S|\psi_n\rangle = \sum_n \langle \psi_n| \sum_i |\psi_i \rangle \langle \psi_i| w_i O_S |\psi_n\rangle = \sum_{i, n} w_i \langle \psi_n | \psi_i \rangle \langle \psi_i | O_S | \psi_n\rangle \\
&= \sum_n w_n \... | {
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"tags": "quantum-mechanics, statistical-mechanics",
"url": null
} |
quantum-mechanics, particle-physics, photons, atomic-physics
Title: Too much photon energy required to excite an atom Apologies if I have done this wrong, it's my first post.
To my understanding, atoms can be excited by a collision of an electron or photon with sufficient energy to excite the electron into a higher en... | {
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"tags": "quantum-mechanics, particle-physics, photons, atomic-physics",
"url": null
} |
By symmetry, all eigenvalues of $Z^{T}$ have nonpositive real parts, so both $Q = Z-\epsilon I$ and $Q^{T} = Z^{T}-\epsilon I$ have eigenvalues with strictly negative real parts. Thus there exist sets $A$ (resp. $B$) of symmetric positive definite matrices $X$ (resp. $Y$) such that $Q^{T} X + X Q < 0$ and $Q Y + Y Q^{T... | {
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"lm_q2_score": 0.817574478416099,
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"openwebmath_score": 0.9480345845222473,
"tag... |
Given $n$, the quantity $M(n)$ is the maximum of $\sum_{i=1}^n \ell(i)$ over all arrays of length $n$.
Let $a$ be an array for which $M(n)$ is achieved, and let $a[i]$ be an element of maximum value. Then $\ell(i) = \min(i-1,n-i)$. Moreover, since $a[i]$ is not smaller than any other element, we have $\sum_{j=1}^{i-1}... | {
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"lm_q1_score": 0.9603611574955211,
"lm_q1q2_score": 0.8162792966177064,
"lm_q2_score": 0.8499711699569787,
"openwebmath_perplexity": 310.0297310601106,
"openwebmath_score": 0.7930316925048828,
"tag... |
astrophysics, white-dwarfs
Factor 3: Observational selection effects. Low mass white dwarfs are bigger (a consequence of electron degeneracy pressure) and high mass white dwarfs cool to invisibility faster than lower mass white dwarfs (a consequence of their higher densities leading to them having lower heat capacitie... | {
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"tags": "astrophysics, white-dwarfs",
"url": null
} |
ruby
We should see this table:
| TEAM | GF | POINTS |
| Spain | 4 | 6 |
| Chile | 3 | 6 |
| Switzerland | 1 | 4 |
| Honduras | 0 | 0 |
How can I improve this? If there a better way to get the unique teams from the match info? That parts looks convoluted. I also feel that ... | {
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"tags": "ruby",
"url": null
} |
everyday-chemistry, water, surfactants
Title: What's the chemical nature of a dishwasher's rinsing agent? It seems that a rinsing agent helps the dishes in the dishwasher dry much better than they do without it (which I recently noted on my new dishwasher). What molecules are used in the composition of these rinsing a... | {
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"openwebmath_score": null,
"tags": "everyday-chemistry, water, surfactants",
"url": null
} |
c#, performance, algorithm
Title: Convert a double list to a grouped string The program has an input a list of doubles and the output needs to be a string containing the list values grouped by their value. The list values will be grouped if they are equal. Something like: input 9,77,5,5,31 => output 9 77 2*5 31
I crea... | {
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"tags": "c#, performance, algorithm",
"url": null
} |
algorithm, c, hash-map
unsigned int hash_first_n_letters_ci(const char *word, unsigned int n)
{
if (word == NULL) {
return 0;
}
unsigned int letter_index = 0;
unsigned int hash = 0;
for (char c = *word; c != '\0'; c = *(++word))
{
if (isalpha(c))
{
hash... | {
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "algorithm, c, hash-map",
"url": null
} |
organic-chemistry, reaction-mechanism
Usually, the experiment starts with the bromination of trans-cinnamic acid. The bromination is run under conditions that lead to trans-addition of bromine so that only the erythro (see here for diagrams and mechanism) or (S,R) [and its mirror image (R,S) enantiomer] dibromocinnam... | {
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"tags": "organic-chemistry, reaction-mechanism",
"url": null
} |
It's not a trick question! Looks like you made an off-by-one error - it happens to all of us. In particular, you wrote $|M|=11$, presumably because the last value is $11 \times 10$ and you're counting up in $10$s. But let's write out the elements of $M$ fully and see what happens:
$$M= \{0,10,20,30,40,50,60,70,80,90,1... | {
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"openwebmath_score": 0.9491148591041565,
"ta... |
agriculture
The primary cereals for making bread are wheat and rye, while barley and oats may be mixed in. Historically significant portions of the rural population of Europe were sustained by cereal-based food in the form of gruel and porridge rather than by bread, especially prior to the introduction of the potato. ... | {
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"tags": "agriculture",
"url": null
} |
reinforcement-learning, math, proofs, bellman-equations, bellman-operators
$$
\begin{bmatrix}
v_\pi(1) \\
\vdots \\
v_\pi(n)
\end{bmatrix}=
\begin{bmatrix}
r_\pi(1) \\
\vdots \\
r_\pi(n)
\end{bmatrix}
+\gamma
\begin{bmatrix}
p_\pi(1 | 1) & \dots & p_\pi(n | 1) \\
\vdots & \ddots & \vdots\\
p_\pi(1 | n) & \dots & p_\pi... | {
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"tags": "reinforcement-learning, math, proofs, bellman-equations, bellman-operators",
"url": nu... |
machine-learning, python, neural-network, keras
conv2d_15 (Conv2D) (None, 82, 82, 32) 9248
_________________________________________________________________
activation_3 (Activation) (None, 82, 82, 32) 0
_________________________________________________________________
conv2d_... | {
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} |
Am I doing something wrong or does this usually happen with this algorithm?
• You must have made a calculation mistake since the interpolation of degree $n$ of a polynomial of degree $n$ should always be the original polynomial – Maximilian Janisch Aug 26 at 14:37
At your calculation of $$a_2$$ you substituted the va... | {
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"tag... |
ros
Originally posted by aldo85ita on ROS Answers with karma: 252 on 2012-09-20
Post score: 2
The solution is to set the camera pitch and camera height both in /base_link -> /camera tranformation and in "_camera_height:=1.57" and "_camera_pitch:=-0.08" properties:
To test:
export GSCAM_CONFIG="multifilesrc location=\... | {
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algorithms, complexity-theory
Title: Pick a random number in a pool with duplicates in O(1) time and less than O(n) space? Imagine trying to pick a random number from a pool of numbers that contains:
i1 times the number 1
i2 times the number 2
i3 times the number 3
... etc
For example picking a random number in a ... | {
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"tags": "algorithms, complexity-theory",
"url": null
} |
probability, noise, stochastic-processes
We may now multiply this by some function $f(a,m)$ and integrate over $a$ and $m$. If we require the relation to hold for all $f$, we have the equivalent form
$$\int\!\!\!\!\int\frac{W(a,m|a',m')}{p^\text{eq}(a,m)}f(a,m)\mathrm{d}a\mathrm{d}m = \int\!\!\!\!\int\frac{W(a',m'|a,m... | {
"domain": "physics.stackexchange",
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"openwebmath_score": null,
"tags": "probability, noise, stochastic-processes",
"url": null
} |
graphs
Title: Cut edge and cut vertices
If $e = \{u, v\}$ is a cut edge with $\deg(u)$ and $\deg(v)$ both at least 2, then $u$ and $v$ are cut vertices.
I want to prove or disprove this statement, but don't know how to proceed. I do know what goes wrong when one of the degrees is smaller than 2. Let $G=(V,E)$. By sy... | {
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"tags": "graphs",
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} |
c++, interview-questions, time-limit-exceeded
cout << q1 << " " << q2 << " " << q3 << " " << q4 << endl;
}
void performXYquery(char qType, int i, int j, vector< pii > &pointList)
{
i = i-1;
j = j-1;
for ( int k = i; k <= j ;k++) {
pii pnt = pointList[k];
if ( qType == 'X') {
... | {
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"tags": "c++, interview-questions, time-limit-exceeded",
"url": null
} |
pcl
Someone must know how to do this because pcl is so popular in ROS. It would be nice to have some documentation on it.
Thanks, Kyle.
Originally posted by Kyle Strabala on ROS Answers with karma: 186 on 2011-10-23
Post score: 5
You have encountered the basic problem of integration. Like every other library used i... | {
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python, web-scraping
def fetch_all() -> Iterator[pd.DataFrame]:
with requests.Session() as session:
session.hooks["response"].append(
lambda r, *args, **kwargs: r.raise_for_status()
)
yield from fetch(session, start_date=DATE, end_date=DATE)
if __name__ == "__main__":
outpu... | {
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"url": null
} |
## Can I prove it for a simple case?
Now I just played with the idea I had, taking the simplest possible case, with only two points in each set:
My drawing here is in a plane, but the calculations don’t assume that; that’s one advantage of using a vector formulation. The centroid of A, for example, is the average of ... | {
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"lm_q2_score": 0.8418256432832333,
"openwebmath_perplexity": 339.0910950162505,
"openwebmath_score": 0.7923303842544556,
"ta... |
ros, moveit, ros-melodic, ros-control, joint-trajectory-controller
//........
hardware_interface::JointHandle pos_handle_4(jnt_state_interface.getHandle("joint4"), &cmd[4]);
jnt_pos_interface.registerHandle(pos_handle_4);
registerInterface(&jnt_pos_interface);
and write(without read)
void MyHWInterface::wr... | {
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"url": nul... |
dft, c#
I insert 3 zeros between each frequency. Then I convert those frequencies to a signal via Inverse DFT:
public double[] adConvertDftToSignal(Complex[] acplxFrequencies)
{
int iNumOfValues = acplxFrequencies.Length;
double[] adInverseDftSignalYValues = new double[iNumOfValues];
for (int ii = 0; ii < iNum... | {
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"openwebmath_score": null,
"tags": "dft, c#",
"url": null
} |
ros, motoman-driver, ros-kinetic
process[joint_state-1]: started with pid [22624]
process[motion_streaming_interface-2]: started with pid [22625]
process[joint_trajectory_action-3]: started with pid [22632]
[ERROR] [1561364152.222744438]: Failed to find topic_list parameter
[ERROR] [1561364152.231102176]: Failed to fi... | {
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"tags": "ros, motoman-driver, ros-kinetic",
"url": null
} |
c#, thread-safety, concurrency, hash-map
public TValue this[TKey key]
{
get
{
return m_InnerDictionary[key].Value;
}
set
{
if (!m_InnerDictionary.ContainsKey(key))
{
throw new KeyNot... | {
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"url": null
} |
objective-c, ios, reactive-cocoa, frp
Subjects are naturally multicasted, so you could replace the multicast connection property with @property RACReplaySubject *localeSubject and subscribe directly to that in place of localeSignal.
So there's no need to use connection here.
For the second part - it's enough to have... | {
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"tags": "objective-c, ios, reactive-cocoa, frp",
"url": null
} |
complexity-theory, turing-machines
Title: What is the intuition behind the relationship between space and time for an algorithm? I believe I have heard that you can never have more space than the algorithms running time. I could be wrong, maybe other way around. What is the intuition behind this? A Turing machine move... | {
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"tags": "complexity-theory, turing-machines",
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} |
• Thank you! This is really illuminating and certainly gives me some interesting ideas to consider. I knew there has to be Yoneda lurking around, the proof resembled it closely. I actually found it in the meantime. One more thing: while Yoneda gives us elements of the monoid, it does not seem to describe it's structure... | {
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"lm_q1_score": 0.9898303443461076,
"lm_q1q2_score": 0.8092600252993428,
"lm_q2_score": 0.8175744761936437,
"openwebmath_perplexity": 137.56216228131262,
"openwebmath_score": 0.9806076884269714,
"ta... |
organic-chemistry, nomenclature, stereochemistry
If you use "Search on Chemistry" at the top of the page and enter user:55119 CIP, you will find related topics that I have previously addressed on ChemSE. | {
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$64=a^4+b^4+c^4+2(a^2b^2+b^2c^2+a^2c^2)$
We still have one missing expression, $a^2b^2+b^2c^2+a^2c^2$.
Since we don’t have the latter expression, we will find it. Take a look of the first algebraic identity mentioned above. We can use it to arrive to an expression that we are looking for by squaring $ab+bc+ac$.
$(a... | {
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"lm_q2_score": 0.8774767778695834,
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"openwebmath_score": 0.2870694696903229,
... |
c#, performance, object-oriented
Title: Count words that are longer than a set Length This is working, but I want to know if is this a place where IEnumerable can be used?
public static int LongerThanStingCompair(string s, int n)
{
int counter = 0;
// splits based on nextLine break
var sCo... | {
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} |
multiple integrals with all the steps. 2x 3.X 3.72 Dx +2 + 1 (b) Tv-] Dx This problem has been solved! Begin by finding the area under the curve y written as the definite integral 1 2 +2 from 3 to 4.1 > 3. There are two major classes of integrals: indefinite and definite. Free integral calculator that quickly calculate... | {
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"lm_q1_score": 0.9603611654370414,
"lm_q1q2_score": 0.8200646412507298,
"lm_q2_score": 0.8539127473751341,
"openwebmath_perplexity": 514.4997292402578,
"openwebmath_score": 0.9548237919807434,
"t... |
homework-and-exercises, general-relativity, cosmology, metric-tensor, curvature
Title: Volume of an Universe with $k=+1$ I read in the Steven Weinberg’s book “Cosmology”:
So far, we have considered only local properties of the spacetime. Now let us look at it in the large. For $k = +1$ space is finite, though like an... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "homework-and-exercises, general-relativity, cosmology, metric-tensor, curvature",
... |
A corollary of the first statement is that a matrix is invertible if and only if all its eigenvalues are nonzero
Using Julia, we can solve for the eigenvalues and eigenvectors of a matrix as follows
A = [1.0 2.0; 2.0 1.0];
evals, evecs = eig(A);
evals
2-element Array{Float64,1}:
-1.0
3.0
evecs
2×2 Array{Float64,... | {
"domain": "quantecon.org",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9927672363035179,
"lm_q1q2_score": 0.8022226543462614,
"lm_q2_score": 0.8080672135527632,
"openwebmath_perplexity": 292.48710622759694,
"openwebmath_score": 0.9709522724151611,
"tags":... |
quantum-mechanics, quantum-spin, bloch-sphere
To get unity as the first component, you need to factor out the $cos$ term, and after some simplification you should get the desired vector form.
About why should one go for a more complicated expression when both have the property of normalisation, it seems that the advan... | {
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"tags": "quantum-mechanics, quantum-spin, bloch-sphere",
"url": null
} |
We can represent this problem using the following experiment:
Draw a number line and put $y$ on it. $y$ can be any value but thinking about the range of the function $min(X_{1},...,X_{n})$, $y$ should sensibly be a positive real number in the interval [0,1]. Now imagine the different number of ways you can drop $n$ da... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9857180690117798,
"lm_q1q2_score": 0.8298027573208968,
"lm_q2_score": 0.8418256532040708,
"openwebmath_perplexity": 190.1139206164498,
"openwebmath_score": 0.9115147590637207,
"tag... |
experimental-realization, quantum-state
\[Theta] == 0, {0, 0, 1},
\[Theta] == Pi, {0, 0, -1},
Not[0 < \[Theta] < \[Pi]],
fromSphericalCoordinates[{r, Mod[\[Theta], Pi], \[Phi]}],
True, FromSphericalCoordinates[{r, \[Theta], \[Phi]}]
]];
colorizePointOnSphere[pt_] := RGBColor[(pt + 1)/2]; | {
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"id": 1117,
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"tags": "experimental-realization, quantum-state",
"url": null
} |
python, tkinter
This sample is a GUI class from quite a large project, so I can't really show you the whole code (1700+ lines right now, tending towards much more).
As you can see, the overall structure of the widgets instantiation is very repetitive.
Is there a better way to widget instantiation? Maybe some less rep... | {
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"id": 22071,
"lm_label": null,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "python, tkinter",
"url": null
} |
special-relativity, hilbert-space, representation-theory, dirac-equation
their decay into photons, a process which can only be treated in rel. QM.
So a priori, one would describe both spin-1/2 particles, electron and the positron, with Dirac spinors).
However, both states can also be considered in the ground state lik... | {
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"id": 35577,
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"openwebmath_score": null,
"tags": "special-relativity, hilbert-space, representation-theory, dirac-equation",
"url"... |
For any n 1, the Recursion Fairy correctly moves the top n1 disks (more formally, the Inductive Hypothesis implies that our recursive algorithm correctly moves the top n1 disks) so our algorithm is correct. Inorder traversal method is used for tree traversal to get the non-decreasing order of nodes. Source: Link Recurs... | {
"domain": "asia-pacific.tv",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9711290897113961,
"lm_q1q2_score": 0.813437106611248,
"lm_q2_score": 0.8376199572530449,
"openwebmath_perplexity": 399.93653872498925,
"openwebmath_score": 0.7650355696678162,
"tags"... |
+ C$, $\int (\frac {1}{|x|\sqrt {x^-1}}) = -sec^{-1} x + C$, $\int (\frac {1}{|x|\sqrt {x^-1}}) = -cosec^{-1} x + C$, $\int [f(x)+g(x)] dx=\int f(x) dx+ \int g(x) dx$, $\int [f(x)-g(x)]dx=\int f(x) dx – \int g(x) dx$, $\int [sinx -cos x ] dx = \int sin x dx- \int cos x dx=-cos (x) – sin(x) + C$, A. if $\int f(x) dx = g... | {
"domain": "soccha.com",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9572778048911611,
"lm_q1q2_score": 0.8078420532109709,
"lm_q2_score": 0.8438951045175643,
"openwebmath_perplexity": 1057.0266456309087,
"openwebmath_score": 0.9344013929367065,
"tags"... |
c#, asp.net-mvc-3, controller
else if (viewModel.FirstName == null && viewModel.LastName != null && viewModel.FullSsn != null)
{
var ph = _policyHolderRepository.Where(x => x.LastName == viewModel.LastName && x.Ssn == viewModel.FullSsn).ToList();
if (ph.Count != 0)
{
... | {
"domain": "codereview.stackexchange",
"id": 553,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c#, asp.net-mvc-3, controller",
"url": null
} |
navigation, rviz, gmapping
Originally posted by mewescott on ROS Answers with karma: 1 on 2017-08-21
Post score: 0
If I read your question text correctly, you appear to be running gmapping even though you already have a map. As far as I know, gmapping is only involved when making a map, not when using one you made ea... | {
"domain": "robotics.stackexchange",
"id": 28661,
"lm_label": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "navigation, rviz, gmapping",
"url": null
} |
operators, hilbert-space, commutator, second-quantization
Title: Second Quantization: The Identity Operator does not Commute? Let me take the simplest possible example. Consider the fermonic Fock-space $\Lambda^*(\mathbb{C}^n)$ built out of a finite-dimensional, oriented single-particle Hilbert space $\mathbb{C}^n$ wi... | {
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"id": 26734,
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"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "operators, hilbert-space, commutator, second-quantization",
"url": null
} |
performance, shell, sed
find . -type f -exec sed -i 's% src="/mywar/% src="/clientwar/%g' {} +
find . -type f -exec sed -i "s% url('/mywar/% url('/clientwar/%g" {} +
find . -type f -exec sed -i 's% url("/mywar/% url("/clientwar/%g' {} +
find . -type f -exec sed -i 's% url(/mywar/% url(/clientwar/%g' {} +
find . -type ... | {
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"id": 27958,
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"lm_q1q2_score": null,
"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "performance, shell, sed",
"url": null
} |
(For example, if $t$ goes from $1$ to $2$, then $1/t$ goes from $1$ to $1/2$.)
Hence, we get that \begin{align} \ln \left( \dfrac1x\right) & = \int_1^{\frac{1}{x}} -t \times \left(-\frac{1}{t^2}dt \right) & = \int_1^x \left(-\dfrac1u \right) \times du = - \int_1^x \dfrac{du}{u} = - \ln(x) \end{align} where the last eq... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.979667648438234,
"lm_q1q2_score": 0.8076986724147622,
"lm_q2_score": 0.8244619220634456,
"openwebmath_perplexity": 401.04944961156167,
"openwebmath_score": 1.0000072717666626,
"tag... |
python, beginner, python-3.x
Title: Base 10 to Base 2-36 converter After a conversation with my math teacher about a base algebra (base 43 using all the algebra symbols) and finding it more than the 30 min of work I was looking for, I decided to make this instead.
import math
letters = ["A", "B", "C", "D", "E", "F", ... | {
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"id": 37147,
"lm_label": null,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, beginner, python-3.x",
"url": null
} |
performance, sql, sql-server, t-sql
SELECT
Src.ItemID
, Src.IsInternal
, Src.UserID
, COUNT(*) AS CountPerUser
, MIN(Src.Sequence) AS FirstUserSequence
FROM Src
GROUP BY Src.ItemID, Src.IsInterna... | {
"domain": "codereview.stackexchange",
"id": 17808,
"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": "performance, sql, sql-server, t-sql",
"url": null
} |
Note that $\mathbb{Q}_5$ is NOT a formal laurent series ring. However, it is true that every 5-adic number is a limit of partial sums of the form $\sum_{i=k}^n a_ip^i$, but to even say this, you need to specify a topology/metric, which $p$-adic numbers are naturally equipped with. However, this topology is wildly diffe... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9678992914310606,
"lm_q1q2_score": 0.8476736102295621,
"lm_q2_score": 0.8757869932689566,
"openwebmath_perplexity": 126.45957879638934,
"openwebmath_score": 0.9193872809410095,
"ta... |
frequency-spectrum, noise, algorithms, sound, denoising
Title: recognize unwanted sounds, noises, and deleting them algorithm I have a function that I need to use denoise algorithm on.
What I thought is to divide it to smaller parts and then use Fourier Transform on each one of the parts, but I am not sure what to do ... | {
"domain": "dsp.stackexchange",
"id": 5857,
"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": "frequency-spectrum, noise, algorithms, sound, denoising",
"url": null
} |
quantum-algorithms, quantum-fourier-transform
Title: How is the fractional binary notation used in the QFT? I am studying the Quantum Fourier Transform and my question regards section 4 from this link. Specifically, I do not understand the step where they rewrite in fractional binary notation- could someone explain to... | {
"domain": "quantumcomputing.stackexchange",
"id": 4487,
"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": "quantum-algorithms, quantum-fourier-transform",
"url": null
} |
ros, jenkins, ros-kinetic, release, build-from-source
Title: build warning for kinetic release - "missing whitespace after the macro name"
Hiho,
while preparing one of our packages for release I encountered a strange problem. While building for ros indigo and jade worked as supposed (no errors), there are warnings fo... | {
"domain": "robotics.stackexchange",
"id": 28523,
"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": "ros, jenkins, ros-kinetic, release, build-from-source",
"url": null
} |
aerospace-engineering, renewable-energy, regulations
Title: Do regulations in the United States limit the size of aerial wind turbines? What with all the work done by the FAA recently on regulating drone usage, I thought it would be nice to turn my eyes to the sky for another, less-known type of aerial denizen: the ae... | {
"domain": "engineering.stackexchange",
"id": 73,
"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": "aerospace-engineering, renewable-energy, regulations",
"url": null
} |
Tabove - 921 - 1330 = (93.68+135.7)*0.62
also gives Tabove = 2393N
Both ways are equivalent... Try both ways yourself... | {
"domain": "physicsforums.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9653811591688145,
"lm_q1q2_score": 0.8065600674926481,
"lm_q2_score": 0.8354835391516133,
"openwebmath_perplexity": 1481.090624130826,
"openwebmath_score": 0.6199799180030823,
"tag... |
python, python-3.x, statistics, data-visualization
else:
graph_ = previous
graph_[x[y]][y] = graph_symbol
# Same thing here
sleep(anim_time)
print(
"\n"*header_margin,
indicator.join(graph_[0]),
"\n", indicator.join(graph_[1]),
... | {
"domain": "codereview.stackexchange",
"id": 25813,
"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": "python, python-3.x, statistics, data-visualization",
"url": null
} |
Triangle Trigonometry. 1 Solving Trigonometric Equations and Identities 413 Try it Now 2. Inverse trigonometric Solving Trigonometric Equations with Identities By: OpenStaxCollege International passports and travel documents Inespionage movies, we see international spies with multiple passports, each claiming We will p... | {
"domain": "jimmec.com",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9891815523039175,
"lm_q1q2_score": 0.8040733530335388,
"lm_q2_score": 0.8128673155708975,
"openwebmath_perplexity": 564.1065187435921,
"openwebmath_score": 0.8320470452308655,
"tags":... |
ros, usb-cam, camera, webcam
The webcam lights up but it seems no image is found. I have followed the instructions here http://askubuntu.com/questions/4875/use-my-webcam-with-ubuntu-running-in-virtualbox and using lsusb shows the camera.
Am I missing a driver?
Originally posted by dmc.2 on ROS Answers with karma: 11 ... | {
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"openwebmath_score": null,
"tags": "ros, usb-cam, camera, webcam",
"url": null
} |
navigation, odometry, mapping, amcl
Original comments
Comment by zastrix on 2016-02-23:
i suppose, starting at theta = 0, you can trace a ray from the robot's origin, to the map wall. continue for 360 degrees or whatever resolution you want. and when you're done, the smallest distance you saw is the closest object. yo... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "navigation, odometry, mapping, amcl",
"url": null
} |
python
Title: A more Pythonic way to iterate over a list with duplicate items Is there a more elegant and Pythonic way to handle counters in this solution to an exercise from the NLTK book? The exercise asks to print out the context (one word forward and one word back) for every verb of a particular type (tagged VN).
... | {
"domain": "codereview.stackexchange",
"id": 7328,
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"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python",
"url": null
} |
ros, ekf, ekf-localization-node, ar-track-alvar
Title: How to create a static tf from artags to map frame?
Hi,
I am using the ar_track_alvar package to detect artags placed in my environment.
When the tags are detected I get a new frame like "ar_marker_1" and this is linked to the robots camera frame.
What I want to ... | {
"domain": "robotics.stackexchange",
"id": 29787,
"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": "ros, ekf, ekf-localization-node, ar-track-alvar",
"url": null
} |
ros2, roslaunch
Title: ros2 concatenate string to launchargument
Hello there,
I am trying to port an old melodic project to eloquent and was wondering on how to concatenate strings to an launch argument like so:
return LaunchDescription([
DeclareLaunchArgument('id', default_value='75', description="an id"),
D... | {
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"id": 35366,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros2, roslaunch",
"url": null
} |
python, game, python-2.x, playing-cards
Where those functions only ever return valid input and catch any associated errors.
You're making a game; why not tell the player how they're doing? The simplest way would be something like:
right = wrong = 0
then += 1 to the appropriate value each time through the loop. Aft... | {
"domain": "codereview.stackexchange",
"id": 7899,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, game, python-2.x, playing-cards",
"url": null
} |
$\displaystyle 1 \leq a' \leq b' \leq N/m,\ \gcd(a',b')=1.$
There fore the number of pairs with gcd equal to ${m}$ is ${S(\lfloor N/m\rfloor )}$. Now we arrive at an interesting recursive formula:
$\displaystyle S(N) = \frac{n(n+1)}{2} - \sum_{m=2}^N S(\lfloor N/m \rfloor ).$
At a first sight this looks more complic... | {
"domain": "wordpress.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9929882046185029,
"lm_q1q2_score": 0.8095162459483153,
"lm_q2_score": 0.815232489352,
"openwebmath_perplexity": 283.877971917181,
"openwebmath_score": 0.7366898059844971,
"tags": null,... |
file-system, shell, embedded, sh
I would do like this:
IMAGE="$SRCDIR"/New_Main.png
DIR="$WORKDIR"/Main
cp "$IMAGE" "$DIR"/Main_Page.png
cp "$IMAGE" "$DIR"/Main_Page2.png
cp "$IMAGE" "$DIR"/Main_Page3.png
These kind of extractions to variables make the script more flexible, as you can change a path in one place and i... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "file-system, shell, embedded, sh",
"url": null
} |
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