text stringlengths 49 10.4k | source dict |
|---|---|
complexity-theory, np-complete, strings
Title: Time complexity of a problem inspired by palindromes This was inspired by Bradshaw's question originally posted on Math.SatckExchange.
EVEN PALINDROME:
Input: Given a list of strings $[v_1, v_2, ... ,v_n]$ where $\Sigma |v_i| $ is even number.
Question: Is there a permuta... | {
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"tags": "complexity-theory, np-complete, strings",
"url": null
} |
I will start with the original equations though it would save a step to use the matrix-and-vector input from edit #2 of the original post.
lpolys = {-p1 + p2 + p6 - p7 - e1, p1 - p2 + p3 - p7 - e2,
p3 - p4 + p5 - p7 - e4,
p1 + p5 - p6 - p7 - e6, p7 - p5 - r0};
vars = {p1, p2, p3, p4, p5, p6, p7};
{rhs, lhs} = Normal[... | {
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"openwebmath_perplexity": 1013.5449543624284,
"openwebmath_score": 0.43913453817367554,
"t... |
matlab, deconvolution, inverse-problem, total-variation
Title: Deconvolution of a 1D Time Domain Wave Signal Convolved with Series of Rect Signals I have a synthesized signal (the bottom of the following figure), which is the convolution of the input signal (at the top) and the objective function (in the middle). The ... | {
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"tags": "matlab, deconvolution, inverse-problem, total-variation",
"url": null
} |
inorganic-chemistry, everyday-chemistry, safety, toxicity
Title: Could PNP (Silicon) transistor be toxic when exposed to air\light? The story goes as follow:
While I was in the electronic room I got bored and crushed a PNP transistor (Model CDIL 2N2907) using a rotating pipe jaws just like in the picture bellow.
Now, ... | {
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"id": 2878,
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"tags": "inorganic-chemistry, everyday-chemistry, safety, toxicity",
"url": null
} |
photons, field-theory, quantum-optics
The accepted answerer ignores the normalization saying:
$$ (a^{\dagger})^2|0\rangle \rightarrow [(a^{\dagger})^2 +
> (b^{\dagger})^2 +2i a^{\dagger}b^{\dagger}]|0\rangle. $$ This is not
normalised, by the way, because I'm lazy and it is completely
irrelevant to the physics.
... | {
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"tags": "photons, field-theory, quantum-optics",
"url": null
} |
java, optimization, enum
Title: Efficiently returning the string basis on current datacenter We have machine hostname as -
dbx111.dc1.host.com
dbx112.dc2.host.com
dcx113.dc3.host.com
dcx115.dev.host.com
Here dc1, dc2, dc3 and dev are our datacenter and we will be having only four datacenter as of now. And also it mi... | {
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"tags": "java, optimization, enum",
"url": null
} |
performance, algorithm, vba, excel, sudoku
Title: Sudoku-lite challenge You can find the problem here.
The example:
Column A, B, and C are each 3 and together equal 9:
| A | B | C |...| Total |
+----+-----+----+...+-------+
| 3 | 3 | 3 |...| 9 |
Columns A and B are edited to equal 2 each, but I still want... | {
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"tags": "performance, algorithm, vba, excel, sudoku",
"url": null
} |
beginner, rust, redis
let redis_conn = redis_client
.get_connection()
.expect("Unable to retrieve the connection to the store");
match add_posts_to_store(redis_conn, self_posts) {
Ok(n) => println!("Stored {} posts.", n),
Err(e) => panic!("Could not store posts: {:?}", e),
};
}... | {
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"openwebmath_score": null,
"tags": "beginner, rust, redis",
"url": null
} |
# What do I need to show that a subset of a group is a subgroup?
I am working through Fraleigh's text in abstract algebra.
What things must I show to prove that a subset H of a group G is a subgroup under the group operation?
I thought I had to show:
1) The identity from the group is the identity for the subgroup a... | {
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"lm_q2_score": 0.8558511506439708,
"openwebmath_perplexity": 135.72863893573032,
"openwebmath_score": 0.9156354069709778,
"ta... |
experimental-physics, magnetic-fields
Title: Dependence of Hall coefficient on temperature in copper As part of a project on the Hall Effect in metals, we would like to find out whether the Hall Coefficient of copper depends on its temperature, and if so how.
We passed a current I through a copper foil inside a magnet... | {
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"tags": "experimental-physics, magnetic-fields",
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$$\begin{cases} r' = \dots \\ θ' = \dots \end{cases}$$
and make conclusions.
Regarding polar coordinates, you can check an answer of mine, here.
• Could you explain "From the image of the phase plane that corresponds to an asymptotically stable node (check here), you can conclude that the solutions "collapse" to ...... | {
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"lm_q1q2_score": 0.8181660580497722,
"lm_q2_score": 0.8479677545357568,
"openwebmath_perplexity": 225.02058349810864,
"openwebmath_score": 0.849965512752533,
"tag... |
cc.complexity-theory, np-complete, planar-graphs
Title: NP completeness of Hamiltonian cycle for the family of *dual graphs* to plane, cubic, triply connected graphs? It is well known that the Hamiltonian cycle problem is NP-complete on the family of planar, cubic and triply connected graphs: https://epubs.siam.org/do... | {
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"url": null
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However, I am not sure this route would be successful and even if it is, I can’t write the extension formally. Any ideas? Thanks a lot in advance!
• Note that $f(\cdot,x_2) : [0,1]\to [0,1]^2$ for fixed $x_2$. – amsmath Aug 28 '19 at 3:08
• I tried to go through your route. But the range is not ordered anyway. I could... | {
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"lm_q2_score": 0.8596637451167997,
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"openwebmath_score": 0.8786993622779846,
"ta... |
f[a, b, c] == f[b, a, c] (* True *)
{(int = 2*Integrate[f[a, b, c], {c, 0, Pi}, {a, 0, 1}, {b, 0, a}]),
int // N} // Timing
(* {10.141, {128/(45 \[Pi]), 0.905415}} *)
• +1. Simply and strongly. On my comp {138.766, {128/(45 \[Pi]), 0.905415}}. May 18 at 8:03 | {
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"lm_q1_score": 0.9473810496235896,
"lm_q1q2_score": 0.8071239468808005,
"lm_q2_score": 0.8519528094861981,
"openwebmath_perplexity": 3120.6354301401216,
"openwebmath_score": 0.23758555948734283,
"t... |
catkin, ros-groovy
collect2: ld 回傳 1
make[2]: *** [/home/sam/code/ros_groovy/devel/lib/sam_hello/sam_hello_node] Error 1
make[1]: *** [sam_hello/CMakeFiles/sam_hello_node.dir/all] Error 2
make: *** [all] Error 2
Invoking "make" failed
sam@sam:~/code/ros_groovy$ | {
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"tags": "catkin, ros-groovy",
"url": null
} |
java
classB.string = "test string";
assertThat(fieldInspector.doHaveEqualFields(classA, anotherClassA)).isFalse();
}
@NoArgsConstructor
@SuppressWarnings("UnusedDeclaration") // to suppress "field never accessed"
private static class ClassA {
private String string;
private Big... | {
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"openwebmath_score": null,
"tags": "java",
"url": null
} |
# How to compute $\mathbb{Z}_n^*$, the unit group of the integers modulo $n$?
I am trying to wrap my head around calculating residue classes, for example $\mathbb{Z}^*_{12} = [1]...$
Would anyone mind making up an example with a decent explanation. I just wrap my head around things easier seeing the process.
Thanks
... | {
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"lm_q2_score": 0.8354835330070839,
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"openwebmath_score": 0.9179678559303284,
"tags... |
thermodynamics, statistical-mechanics, statistics
Mathematically, this is the right result, but... why does this have to be like this? Intuitively, I expected all the particles on the excited state.
My professor said "no, this can only be the case with negative temperatures", making this whole concept even more obscur... | {
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"tags": "thermodynamics, statistical-mechanics, statistics",
"url": null
} |
c#, cryptography, aes
Title: Encrypt data to be send from service to service I'm working with another company in a new application for my company. My job right now is to send on demand to the other company the data that they need, ciphering some of it.
I should point out that the key is not going to be stored in any d... | {
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"tags": "c#, cryptography, aes",
"url": null
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The Chinese Remainder Theorem guarantees a single common solution to these congriuences modulo $12$, and this is clearly $3$, though can be computed.
We find numbers $X$ and $Y$ with $X\equiv 1\bmod 3; 0\bmod 4$ and $Y\equiv 0\bmod 3; 1 \bmod 4$.
We have $X=3a+1=4b$ so we look for $4b-3a=1$. Also $Y=3c=4d+1$ so $3c-4... | {
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"lm_q1q2_score": 0.8169190384972544,
"lm_q2_score": 0.839733963661418,
"openwebmath_perplexity": 333.8691792451912,
"openwebmath_score": 0.8500820994377136,
"tags... |
audio, discrete-signals, sound, music
Title: Easiest Beat Tracking Algorithim I want a relatively easy to implement but relatively reliable algorithm for detecting beat locations in an audio file.What I am aiming to do is get the location of the closest beat to a particular time instant i.e if given current playtime, ... | {
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"id": 4018,
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"tags": "audio, discrete-signals, sound, music",
"url": null
} |
homework-and-exercises, lagrangian-formalism, variational-calculus, functional-derivatives
Title: Evaluating functional derivatives I am new to evaluating functional derivatives and I am having difficulty evaluating the following derivative:
$$I = \frac{\delta}{\delta x(t)}\frac{\delta}{\delta x(t')}\int_{u_i}^{u_f}\f... | {
"domain": "physics.stackexchange",
"id": 99973,
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"tags": "homework-and-exercises, lagrangian-formalism, variational-calculus, functional-der... |
c#, excel, error-handling, winforms
return tenant;
}
// Updates the local version of the data in the application.
private bool UdateTenantDataTable(int apartmentNumber, Tenant tenant)
{
bool updated = false;
try
{
string searchString ... | {
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"tags": "c#, excel, error-handling, winforms",
"url": null
} |
c, literate-programming
static const char short_options[] = "b:e:o:h";
static const struct option long_options[] =
{
{ "begin", required_argument, nullptr, 'b' },
{ "end", required_argument, nullptr, 'e' },
{ "help", no_argument, nullptr, 'h' },
{ "output", required_argument, n... | {
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"openwebmath_score": null,
"tags": "c, literate-programming",
"url": null
} |
recurrent-neural-networks, long-short-term-memory, sequence-modeling, residual-networks, vanishing-gradient-problem
Title: Wouldn't residual connections in RNNs solve the vanishing/exploding gradient problem? I was recently brushing up on my deep-learning basics and came back to RNNs. LSTMs/GRUs and the Transformer a... | {
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"id": 4202,
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"tags": "recurrent-neural-networks, long-short-term-memory, sequence-modeling, residual-networks,... |
First, one can argue intuitively: the more subsets of $S$ you intersect, the smaller the intersection is. Or, the fewer subsets you intersect, the larger the intersection is. So, the intersection of no subsets at all, the least amount of sets you can intersect, should be the largest subset possible. Namely, $\bigcap_{i... | {
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"id": null,
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"lm_q1_score": 0.9702399043329856,
"lm_q1q2_score": 0.8592749861808604,
"lm_q2_score": 0.8856314632529872,
"openwebmath_perplexity": 289.6879088322624,
"openwebmath_score": 0.9042208194732666,
"tag... |
components where are to find most of the vertices, and then all others won’t be very connected. Source: Ref#:M . There are no parallel edges but a self loop is present. Often peripheral sparse matrix algorithms need a starting vertex with a high eccentricity. A planar graph is a graph that we can draw in a plane such t... | {
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"id": null,
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"lm_q1_score": 0.9511422241476943,
"lm_q1q2_score": 0.812192482142713,
"lm_q2_score": 0.853912760387131,
"openwebmath_perplexity": 403.9223827912819,
"openwebmath_score": 0.48073723912239075,
"... |
astrophysics, earth
Title: What will happen if a gamma-ray burst hits the Earth? Is there any probability that a gamma-ray burst (GRB) could affect the Earth? The actual effects of a Gamma-ray Burst on the earth have been thought about a great deal. There is some thought that the Ordovician extinction was caused by a... | {
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"tags": "astrophysics, earth",
"url": null
} |
python, object-oriented, python-3.x, sqlite, selenium
Have some of this Python-flavored Cool-aid! It's quite delicious... ;-)
You define getToken in both source files. I'm not sure what that's about...
Looking at your dataManager.py file, it's quite short. I'd suggest that you just roll both files into a single sourc... | {
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"tags": "python, object-oriented, python-3.x, sqlite, selenium",
"url": null
} |
python, performance, python-3.x, reinventing-the-wheel, serialization
1: 0
},
3: 0
},
2: {
1: {
1: 0
},
2: 0
},
3: {
1: 0
}
},
3: {
1: {
1: {
1: 0
... | {
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"openwebmath_score": null,
"tags": "python, performance, python-3.x, reinventing-the-wheel, serialization",
"url"... |
New coordinates by 3D rotation of points
[1-1] /1 Disp-Num5103050100200
[1] 2018/09/29 17:08 Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Research on 3d co-ordinates spherical, rectangular and cylindrical form s | {
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"lm_q2_score": 0.8333245932423308,
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"openwebmath_score": 0.6832911968231201,
"tags": ... |
c#
67423 ms
12483 ms
41153 ms
8112 ms
6958 ms
List of 100 zeros:
15711 ms
10448 ms
5404 ms
5075 ms
5474 ms
Code used for testing:
class Program
{
static List<int>[] lists;
static List<int> nonZeros = new List<int>(Enumerable.Range(1, 100));
static List<int> zeros = new List<int>(Enumerable.Repeat(0, 100... | {
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"tags": "c#",
"url": null
} |
quantum-mechanics, eigenvalue, anharmonic-oscillators
Title: Quantum pure quartic oscillator It was recently brought to my attention, that there exist analytic solutions for the quantum pure-quartic oscillator with the hamiltonian
$$ \hat{H} = \frac{1}{2m} \hat{p}^2 + \frac{\lambda}{24} \hat{x}^4. $$
The person who as... | {
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"tags": "quantum-mechanics, eigenvalue, anharmonic-oscillators",
"url": null
} |
c++, c++11, multithreading
void cleanup() {
while (!finished) {}
}
private:
void work() {
while (!parent->stopped) {
std::unique_lock<std::mutex> guard(parent->lock);
parent->notify.wait(guard, [=] {return parent->j... | {
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"tags": "c++, c++11, multithreading",
"url": null
} |
electromagnetism, electricity, electrons, atoms, voltage
1Actually, electrons are also small magnets themselves (they have an instrisic quantum-mechanical spin) and therefore are attracted to inhomogenic magnetic fields, but that's quite another issue.
2Actually, it would... but that's mostly relevant in the high-freq... | {
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"openwebmath_score": null,
"tags": "electromagnetism, electricity, electrons, atoms, voltage",
"url": null
} |
python, python-3.x, simulation, physics
@staticmethod
def get_y_coordinates(path) -> List:
return list(list(zip(*path))[1])
@staticmethod
def get_random_normal_direction():
return np.random.normal() * np.random.choice([1, -1])
@staticmethod
def is_point_within_bounds(pos: Tuple, b... | {
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"tags": "python, python-3.x, simulation, physics",
"url": null
} |
Quote:
$\text{What is the remainder when }2001^{2001}\text{ is divided by }26\,?$
. . . $2001 \;=\;77(26) -1$
$\begin{array}{ccccc} 2001 & \equiv & \text{-}1 & \text{(mod 26)} \\ \\[-3mm] 2001^{2001} & \equiv & (\text{-}1)^{2001} & \text{(mod 26)} \\ \\[-3mm] 2001^{2001} & \equiv & \text{-}1 & \text{(mod 26)} \\ \\[-... | {
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astrophysics, orbital-motion, celestial-mechanics, solar-wind, solar-sails
So a really big coronal mass ejection could indeed significantly boost the thrust from a solar sail, but I think we need to inject a note of reality. Firstly the force is still very small so even for a very large CME our solar sail powered spac... | {
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"tags": "astrophysics, orbital-motion, celestial-mechanics, solar-wind, solar-sails",
"ur... |
navigation, exploration, turtlebot, gmapping, explore
/robot_state_publisher/get_loggers
/camera/openni_camera_loader/get_loggers
/slam_gmapping/tf_frames
/camera/ir/set_camera_info
/camera/ir/image_raw/theora/set_parameters
/move_base/get_loggers
/camera/rgb/image_raw/compressed/set_parameters
/explore/... | {
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"tags": "navigation, exploration, turtlebot, gmapping, explore",
"url": null
} |
c, reinventing-the-wheel, linux, unix
unsigned find_cutoff(int fd) {
int linecnt, n_chars;
int subpos, block;
char cbuf[BUFSIZE];
subpos = block = linecnt = n_chars = 0;
// count lines to allocate linelocs array
while ((n_chars = read(fd, cbuf, BUFSIZE)) > 0)
linecnt += count_chars... | {
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"tags": "c, reinventing-the-wheel, linux, unix",
"url": null
} |
ros, ros-melodic, installation, windows10
One thing to note from Jan’s version, he does not show configuring a Ubuntu repository. Once he gets a modern version of WSL going, he goes straight to setting up the sources list and keys. This is important to note because, for me, configuring my Ubuntu repository (from the ... | {
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} |
: fit the parameters of the Population Tracking model to binary neural population data. Figure 3: Matlab’s Statistics Toolbox To give the readers an idea of the available Matlab toolboxes, a list of widely used Matlab Toolboxes is provided in. 1 The simulation code is split into three parts. 3 and the predator-prey mod... | {
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"openwebmath_score": 0.5351118445396423,
... |
homework-and-exercises, electrostatics, potential-energy
Title: Isn't $\varepsilon_0\int_{\text{all space}}\vec{E}_1\cdot\vec{E}_2 \,{\rm d}v$ just the potential energy? I have two metallic spheres each with a charge of $q_1$ and $q_2$ respectively. What is the value of $$\varepsilon_0\int_{\text{all space}} \vec{E}_1... | {
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"tags": "homework-and-exercises, electrostatics, potential-energy",
"url": null
} |
algorithms, discrete-mathematics, notation
Title: What is the meaning of this symbol that looks like an inverted uppercase A? I found this symbol in a book I'm reading. Does anyone know what this symbol means? Does it mean for all js? It's universal quantifier that interpreted as "given any" or "for all". you can chec... | {
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} |
c++, multithreading, c++17, simulation
resultFile.close();
std::cout << "And this was hopefully not a massive waste of time!\n";
return 0;
} Answers to your questions
Is the threading done safetly here? Is there any big no-nos here?
Avoid manually calling .lock() and .unlock(), and use the version of std::co... | {
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terminology, reference-request, education
Has anyone seen a "dictionary of symbols" that matches these features?
(Alternatively, it seems like an excellent wiki or FAQ project if good references like this don't exist.) You can use this sheet. It has a lot of handy formulas and some definitions.
You can also use Wikip... | {
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& \text{if b\equiv0\pmod{4}}\\ \\ \binom{n^2/4}{(b-1)/4} & \text{if b\equiv1\pmod{4}}\\ \\ 0 & \text{otherwise.}\end{cases}$$ Specializing to $b=n,$ we get $$C(n,n,C_4)=\begin{cases}\binom{n^2/4}{n/4} & \text{if n\equiv0\pmod{4}}\\ \\ \binom{(n^2-1)/4}{(n-1)/4} & \text{if n\equiv1\pmod{4}}\\ \\ 0 & \text{otherwise.}\en... | {
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"openwebmath_score": 0.9341668486595154,
"ta... |
lisp, scheme, sicp
Title: Order of evaluation of function arguments From SICP:
Exercise 3.8
When we defined the
evaluation model in section 1.1.3, we
said that the first step in evaluating
an expression is to evaluate its
subexpressions. But we never specified
the order in which the subexpressions
should ... | {
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# Plot of a domain in the complex plane
I am trying to plot the following domain in the complex plane:
$\lbrace x\in\mathbb{C}|\: |x^{2}-1|<r\rbrace$
for some $r>1$.
I know that in general to take a square root of a complex number $z$ one would have to go to polar coordinates and the get $\sqrt{z}=r^{1/2}\exp (i\th... | {
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"openwebmath_score": 0.8008248209953308,
"tag... |
is able to generate the control force U to control the motion of the bus body. To verify the formula for the period, T, of an oscillating mass-spring system. In most cases, you choose a model structure and estimate the model parameters using a single command. Manoj Srinivasan Mechanical and Aerospace Engineering sriniv... | {
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"openwebmath_perplexity": 937.6084491184243,
"openwebmath_score": 0.5827639102935791,
"tags": null,
... |
neural-networks
Title: Measuring difference between two sets of neural network weights? Suppose that we take a neural network of a given topology, and run it through two training processes, obtaining two different sets of converged weights at the end of the training.
What is a good way to measure the difference betwee... | {
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"tags": "neural-networks",
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} |
java, sql, authentication, jdbc
Another form of not checking the return value is in the process of registering a user. Consider this snippet from the register method:
insertNewUser(username, pass);
createAccountForUser(username);
The insertNewUser doesn't return anything,
but probably it should.
Inserting a new user... | {
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thermodynamics, statistical-mechanics, astrophysics
So, why is the difference between the stars and between the molecules?
Maybe it has to do with the fact, that the mean path of a molecule is much smaller as its containment, while a star in a galaxy probably never in its life collides with another? Boltzmann statisti... | {
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"tags": "thermodynamics, statistical-mechanics, astrophysics",
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} |
python, reinventing-the-wheel, numpy, clustering, machine-learning
return True
if __name__ == "__main__":
data = [[-19.0748, -8.536 ],
[ 22.0108, -10.9737 ],
[ 12.6597, 19.2601 ],
[ 11.26884087, 19.90132146 ],
[ 15.44640731, 21.13121676 ... | {
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"tags": "python, reinventing-the-wheel, numpy, clustering, machine-learning",
"url": n... |
rotational-kinematics, inertia
Title: Does orientation matter when calculating inertia? Two cylinders having the same mass, radius, size, shape and angular property are both rotating.
Does this two identical cylinders have the same inertia despite their orientation? Yes, identical objects have the same moment of iner... | {
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"tags": "rotational-kinematics, inertia",
"url": null
} |
ros, libusb
Title: kinect aux NUI motor
Hi folks,
I'm using openni_camera and kinect_aux (for tilting function) stacks at the same time and they work well together. The problem came in when I used two kinects connected (they are not used together they are just connected!) and I want to choose one of them at a time. T... | {
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$$\; \\$$
$$\qquad \qquad \qquad \qquad \qquad \qquad \qquad$$
\begin{align} S &= (3,2,3,1,2,1,1) \\ \ell_1, \alpha, \beta &= 3,2,2 \\ c &= \;\;\;\;\;0010101011 \\ \varsigma &= 0001100100100 \\ \varsigma \vee c &= 0001110101111 \\ \end{align}
Here is a dirty Python implementation. This code confirms @d8d0d65b3f7cf42'... | {
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"openwebmath_score": 0.6999582052230835,
"tag... |
particle-physics, momentum, quantum-spin, standard-model
That rules out the $L=2$ possibility, showing that $L=1$ | {
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So the congruence system is solvable $$\iff d=\gcd(m_1,m_2)\mid r_2-r_1.\,$$ When so we can constructively read off a solution from the Bezout equation for the moduli by translating it into the equivalent system language as above, i.e. scale the Bezout equation to obtain the residue difference $$\,r_1-r_2\,$$ then rear... | {
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"openwebmath_score": 0.8752496242523193,
"tag... |
neural-networks, deep-learning, convolutional-neural-networks, definitions, implementation
Now imagine the layer has $20$ filters instead of $1$. Nothing changes, just that the same procedure is done $20$ times with $20$ different sets of weights So the total number of weights in the layer in this case is $3 \times 3 ... | {
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c++, performance, c++11, openmp
for (k = 1; k <= kmax; k++){
double d2 = k * d1;
E[k] += x + y + sin(d2) / d2;
}
}
}
return 0;
} In parallel programming, it's often useful to try to minimize the degree to which the threads work with the same data.... | {
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"tags": "c++, performance, c++11, openmp",
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} |
asteroids
What is of further interest is the fact that, Hayabusa2 has returned samples from the asteroid Ryugu which is a C-complex asteroid, whereas OSIRIS-REx is on the other hand is returning samples from the B-type (a subclass of the C-complex asteroids) asteroid Bennu). Both these asteroids correspond to the cate... | {
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"tags": "asteroids",
"url": null
} |
quantum-mechanics, homework-and-exercises, momentum, conservation-laws, symmetry
Title: How to show that translational invariance in $y$ of implies that it's an eigenstate of $p_y$? Let us consider a particle on a plane with uniform magnetic field $B=B\hat{z}$, and hence with the Hamiltonian $H=\frac{1}{2m}(\vec{p}+e\... | {
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"openwebmath_score": null,
"tags": "quantum-mechanics, homework-and-exercises, momentum, conservation-laws, symmetry",... |
dynamics, vibration
The transmissibility ratio shows how much forces and displacements are amplified to a mass if the foundation is excited. The value on the y-axis shows the amplification factor, so for example if Transmissability ratio (T for short) is 2, then if the excitation at the foundation has an amplitude of ... | {
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"tags": "dynamics, vibration",
"url": null
} |
Thread: Can combination coefficients converge when the vector converges?
1. Can combination coefficients converge when the vector converges?
In the vector space spanned by ${\bf{e}}_1,{\bf{e}}_2,...,{\bf{e}}_n$ which are linearly independent (not necessarily the standard basis), ${\bf{y}}_1=\sum_{i=1}^na_i{\bf{e}}_i$... | {
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ros, video, image-transport
Title: Video Capture (Composite Camera)
What is the easiest way to get composite video into ROS? I'm talking about the cheap surveillance camera type stuff. They sell USB adapters like this which I would like to use:
http://www.amazon.com/gp/product/B002H3BSCM/ref=oss_product?ie=UTF8&red... | {
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} |
This gives us $G(n)$ for values of $n$ where the digits are maximal. In fact, we can easily extend this result for arbitrary leading digits, or values of $n$ in the form $a_i p^i - 1$ or $\overline{\vphantom{b}a_i 0 \dots 0} - 1$.
\begin{aligned} G(a_i p^i - 1) &= \frac{a_i(a_i+1)}{2} G(p^i-1) \\ &= \frac{a_i(a_i+1)}{... | {
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"tags": nul... |
water, chemical-biology, precipitation
Title: In the wet medium of an ocean, how does a hard shell form? In general, if you were to try make something hard in a liquid medium (especially water) it is quite difficult to make the material solid.
Things such as mollusks though, have no problem generating hard shells in ... | {
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"tags": "water, chemical-biology, precipitation",
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} |
thermodynamics, ideal-gas, volume
Title: Definition of volume of a gas and Amagat's law How would you define the volume of an (ideal) gas?
I would say it is the volume of the container holding the gas (whether it is a fixed container or a flexible one like a balloon).
However, assuming this is the true definition of ... | {
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ros, kinematics, ros-diamondback, ax12
> In member function ‘void
> wubble_arm_kinematics::WubbleArmIKConstraintAware::contactFound(collision_space::EnvironmentModel::Contact&)’:
> /home/peter/ros/ua-ros-pkg/arrg/ua_controllers/wubble_arm_kinematics_constraint_aware/src/wubble_arm_kinematics_constraint_aware.cpp:471:
... | {
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"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros, kinematics, ros-diamondback, ax12",
"url": null
} |
Aren't the angles for $$\arctan(x)$$ suppose to fall between $$\left(\frac{-\pi}{2},\frac{\pi}{2}\right)$$ or quadrant $$\text{IV}$$ and $$\text{I}$$? The angles I get aren't falling in that range should would I not subtract $$\pi$$ and not $$2\pi$$? | {
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"id": null,
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"openwebmath_perplexity": 359.2050878080007,
"openwebmath_score": 0.8258118033409119,
"tag... |
I need some help understanding the steps to take to prove subsets.
Question:
For each of the following universal statements regarding any three finite sets $X, Y$, and $Z$, determine whether it is (universally) true or not. If you say it is false (not always true), give a counter-example to show that the statement is... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9793540644400345,
"lm_q1q2_score": 0.8223968801801852,
"lm_q2_score": 0.8397339736884711,
"openwebmath_perplexity": 257.8904143089352,
"openwebmath_score": 0.861362099647522,
"tags... |
ros, python, rospy, ros-indigo
Title: Can't import rospy
Hello,
I have a ROS aplication in Python and Qt, and when I run it from the terminal all is ok, but I try to run with double click (the script with the permissions and Nautilus configuration appropriate) and the aplication can't import rospy.
I use ROS Indigo a... | {
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"id": 25565,
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"lm_q1_score": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros, python, rospy, ros-indigo",
"url": null
} |
1. Aug 6, 2008
### laura_a
1. The problem statement, all variables and given/known data
I am working on a topic called differential equations, and Im stuck on some working out.
2. Relevant equations[/b]
I have to integrate it, and I know I can without factorising, but it is so messy, my professor said to factorise ... | {
"domain": "physicsforums.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9825575121992375,
"lm_q1q2_score": 0.8605110956937382,
"lm_q2_score": 0.8757869997529962,
"openwebmath_perplexity": 1179.0526619355828,
"openwebmath_score": 0.9999754428863525,
"ta... |
angular-momentum, energy-conservation, orbital-motion
Title: Formula for perihelion speed as a function of circular speed and eccentricity I'm trying to work out simple formulas for orbits that use a particular circular orbit as a standard for distance and speed, and then talk about other orbits in reference to the fi... | {
"domain": "physics.stackexchange",
"id": 44385,
"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": "angular-momentum, energy-conservation, orbital-motion",
"url": null
} |
ros
}
uint32_t health_rate = (5 << RATE6_HEALTH_START); // note: 5 gives 2 hz rate
r.comrate6.set(0, health_rate);
if (!sensor->sendWaitAck(r.comrate6))
{
throw std::runtime_error("Unable to set CREG_COM_RATES6.");
}
// Options available using parameters)
uint32_t misc_config_reg = 0; // initialize all options off
... | {
"domain": "robotics.stackexchange",
"id": 36626,
"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",
"url": null
} |
Since $x$ needs to be a positive integer, we know therefore that $x \geq 6$.
Now you just need $x^2 - 33$ to be a perfect square. $x = 7$ works, since $7^2 - 33 = 16$, so $y = 4$.
See if you can come up with any other solutions...
Hello: the solutions is
In graphic of the function , we find the Point cordinates inte... | {
"domain": "mathhelpforum.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9848109498546361,
"lm_q1q2_score": 0.8074399349204957,
"lm_q2_score": 0.8198933359135361,
"openwebmath_perplexity": 641.4854384537481,
"openwebmath_score": 0.9628772139549255,
"tag... |
c++, performance, dynamic-programming
Title: Grid Dynamic Programming atcoder.jp Problem Statement:
There is a grid with H horizontal rows and W vertical columns. Let (i,j) denote the square at the i-th row from the top and the j-th column from the left.
For each i and j (1≤i≤H, 1≤j≤W), Square (i,j) is described by a... | {
"domain": "codereview.stackexchange",
"id": 40727,
"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++, performance, dynamic-programming",
"url": null
} |
java, array, tree, error-handling, junit
IntBinaryTreeNode(int datum) {
this.datum = datum;
}
int getDatum() {
return datum;
}
IntBinaryTreeNode getLeftChild() {
return leftChild;
}
IntBinaryTreeNode getRightChild() {
return rightChild;
}
void setLeft... | {
"domain": "codereview.stackexchange",
"id": 29081,
"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, array, tree, error-handling, junit",
"url": null
} |
python, datetime, serialization, compression
Title: Python date compression I m making a script to store date information in the smallest size in bits
(I don't mind of the actually memory use in the program / runtime)
#!/usr/bin/env python
import random
import datetime
MAGIC = "DAT"
def extract(data, size):
retu... | {
"domain": "codereview.stackexchange",
"id": 22359,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, datetime, serialization, compression",
"url": null
} |
homework-and-exercises, general-relativity, coordinate-systems
&\text{with }\\
&\mathbf{R}=
\begin{bmatrix}
x \\
y \\
z \\
\end{bmatrix}=
\begin{bmatrix}
u\,v\,\cos(\phi) \\
u\,v\,\sin(\phi) \\
\frac{1}{2}(u^2-v^2)
\\
\end{bmatrix}\quad,
\mathbf{q}=\begin{bmatrix}
u \\
v \\
\phi
... | {
"domain": "physics.stackexchange",
"id": 91697,
"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": "homework-and-exercises, general-relativity, coordinate-systems",
"url": null
} |
How many edges? An edge is two points that differ in only one place, such as $(0,\color{red}0,1,0)$ and $(0,\color{red}1,1,0)$. An edge is determined by the three coordinates that don't change. Thus, there are: $$\dbinom432^3=32\text{ edges};$$ $\binom43$ ways of selecting three edges and $2^3$ ways of giving them each... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9873750525759487,
"lm_q1q2_score": 0.8026049106871446,
"lm_q2_score": 0.8128673178375735,
"openwebmath_perplexity": 321.9073408966158,
"openwebmath_score": 0.7989411354064941,
"tag... |
ros
Title: How odometry is going to help the navigation stack?
Hi,
Although I am going through the tutorials, I need some precise answer.
How odometry helps navigation stack.
How it is related with tf?
Is odometry helpful for generating velocity command to base controller?
Is it somehow related to amcl, sensor data?... | {
"domain": "robotics.stackexchange",
"id": 16417,
"lm_label": null,
"lm_name": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros",
"url": null
} |
image-processing, fft, wavelet, optimization
You can do two different approaches
You could do it one level at a time.
Everything at once.
There are drawbacks and gains from either of them. I will start with the first one.
If you go for one level at a time:
You zero pad filters to be equal lenght as the rows and col... | {
"domain": "dsp.stackexchange",
"id": 3423,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "image-processing, fft, wavelet, optimization",
"url": null
} |
python, python-2.x, language-design
def run(assignments, open_from, to_write, to_exec):
"""
Do the conversion from People's Python to Standard Python
:param assignments: String denoting the path to open the name list from.
:param open_from: String denoting the file to get People's Python code input fro... | {
"domain": "codereview.stackexchange",
"id": 24444,
"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-2.x, language-design",
"url": null
} |
javascript, algorithm, programming-challenge, ecmascript-6, palindrome
You can get the unit value eg 423 is 100 or 256378 is 100000 by raising 10 to the power of the number of digits minus one. Well not for powers of 10
eg
unit = 10 ** (Math.ceil(Math.log10(13526)) -1); // 10000
unit = 10 ** (Math.ceil(Math.log10(1000... | {
"domain": "codereview.stackexchange",
"id": 34249,
"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, algorithm, programming-challenge, ecmascript-6, palindrome",
"url... |
c++, c++14
#include "reader.h"
#include <utility>
#include <type_traits>
template<class T>
class writer
{
public:
using value_type = T;
~writer() = default;
/**
* @brief constructs a writer with no assicated reader.
*/
constexpr writer() noexcept
: value_{ nullptr }
{}
write... | {
"domain": "codereview.stackexchange",
"id": 21824,
"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++, c++14",
"url": null
} |
black-holes, event-horizon, centrifugal-force, kerr-metric
Title: Centrifugal force on spinning black hole? I saw the term spinning black hole popping up everywhere so my question do spinning black hole behave similarly to say a planet where it bulge in the equatorial and compress at the poles? what fundamental force ... | {
"domain": "physics.stackexchange",
"id": 54429,
"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": "black-holes, event-horizon, centrifugal-force, kerr-metric",
"url": null
} |
development, morphology
Title: Are there special constants in biology that define organism's morphology? In math, there are special numbers, like Pi (3.14159...) and e (2.71828...). In chemistry, there's numbers like avogadro's number (6.0221413e+23). For example a circle can be defined in terms of 2 * Pi.
Are there a... | {
"domain": "biology.stackexchange",
"id": 2193,
"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": "development, morphology",
"url": null
} |
homework-and-exercises, newtonian-mechanics, friction, statics, equilibrium
Title: Mechanics question - ladder leaning against a wall I am struggling with part a) of this question:
Here is the solution:
In part a) they prove that $F \leq \mu R$ is false for this system. So as $F$ is neither less than nor equal to $\... | {
"domain": "physics.stackexchange",
"id": 13455,
"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": "homework-and-exercises, newtonian-mechanics, friction, statics, equilibrium",
"u... |
java, multithreading, spring, mongodb
@Autowired
UserDal userDal;
public User createNewUserAccount(String userId, String userName) {
//check If userId already in DB
if (checkIfUserIdExits(userId)) {
throw new UserAlreadyExistsException("Cannot create User with Id { " + userId + " ... | {
"domain": "codereview.stackexchange",
"id": 41467,
"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, multithreading, spring, mongodb",
"url": null
} |
### Rounding
For an arbitrary real number ${\displaystyle x}$, rounding ${\displaystyle x}$ to the nearest integer with tie breaking towards positive infinity is given by ${\displaystyle {\text{rpi}}(x)=\left\lfloor x+{\tfrac {1}{2}}\right\rfloor =\left\lceil {\tfrac {\lfloor 2x\rfloor }{2}}\right\rceil }$; rounding t... | {
"domain": "wikipedia.org",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.989347487903923,
"lm_q1q2_score": 0.8448164351828367,
"lm_q2_score": 0.8539127510928476,
"openwebmath_perplexity": 14025.1043888957,
"openwebmath_score": 0.9981468915939331,
"tags": nu... |
ros, ros-kinetic, simpleactionclient, network
[rosmaster.master][INFO] 2021-01-01 13:09:35,063: -SERVICE [/niryo_one_tester/get_loggers] /niryo_one_tester rosrpc://172.17.0.2:41231
[rosmaster.master][INFO] 2021-01-01 13:09:35,069: publisherUpdate[/rosout] -> http://192.168.1.162:39004/ ['http://192.168.1.162:33130/', ... | {
"domain": "robotics.stackexchange",
"id": 35922,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros, ros-kinetic, simpleactionclient, network",
"url": null
} |
cosmology, spacetime, universe, space-expansion
Title: What is the extent of the universe? Is there any realistic, understandable, provable (even in some extent) explanation/model for the extent of the universe?
What is its shape? and Why? I mean physical explanations not philosophical since the question is about a ph... | {
"domain": "physics.stackexchange",
"id": 3528,
"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": "cosmology, spacetime, universe, space-expansion",
"url": null
} |
structural-engineering
Title: Where do the tributary angles/ratios for tributary areas come from? When preparing load calculations for a slab, the quick method is to define the tributary areas of a slab for the beams/columns below. These are generally taken as lines at mid-span of the slab panels and, depending on the... | {
"domain": "engineering.stackexchange",
"id": 1873,
"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": "structural-engineering",
"url": null
} |
jenkins
dpkg-buildpackage: host architecture amd64
fakeroot debian/rules clean
dh clean
dh_testdir
Unknown option: buildsystem
dh_testdir: warning: ignored unknown options in DH_OPTIONS
dh_auto_clean
dh_clean
Unknown option: buildsystem
dh_clean: warning: ignored unknown options in DH_OPTIONS
rm -f debi... | {
"domain": "robotics.stackexchange",
"id": 14652,
"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": "jenkins",
"url": null
} |
java, algorithm, bioinformatics
while (!open.isEmpty()) {
LatticeNodeHolder currentNodeHolder = open.remove();
LatticeNode currentNode = currentNodeHolder.getLatticeNode();
if (closed.contains(currentNode)) {
continue;
}
closed.add(currentNo... | {
"domain": "codereview.stackexchange",
"id": 33144,
"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, algorithm, bioinformatics",
"url": null
} |
$\sum_{k=0}^0\left(\sqrt{4k+3}-\sqrt{4k+1} \right)>\sqrt{0+1}-2$
$\sqrt{3}-\sqrt{1}>1-2$ true.
Consider:
$6n+9=2\left(3n+\frac{9}{2} \right)$
$6n+9=2\left(2(2n+3)-\frac{2n+3}{2} \right)$
$6n+9=2\left(\sqrt{4(2n+3)^2}-\sqrt{\frac{(2n+3)^2}{4}} \right)$
$6n+9>2\left(\sqrt{4(2n+3)^2-1}-\sqrt{\frac{(2n+3)^2+4n+3}{4}}... | {
"domain": "mathhelpforum.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9865717436787542,
"lm_q1q2_score": 0.8156104961960955,
"lm_q2_score": 0.8267117940706734,
"openwebmath_perplexity": 352.05363041772523,
"openwebmath_score": 0.94483482837677,
"tags... |
sass, mixins
Gives the following result:
.text-left {
text-align: left
}
.text-right {
text-align: right
}
.text-center {
text-align: center
}
.text-justify {
text-align: justify
}
.float-left {
float: left
}
.float-right {
float: right
}
.float-none {
float: none
}
.hide {
position: ab... | {
"domain": "codereview.stackexchange",
"id": 25387,
"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": "sass, mixins",
"url": null
} |
c#, sqlite, helper
for (int i = 0; i < EntryList.ColumnName.Count; i++)
{
sqliteCommand.Parameters.Add("@" + EntryList.ColumnName[i], EntryList.DbType[i]).Value = EntryList.Content[i];
}
sqliteCommand.ExecuteNonQuery();
DataBaseConnnec... | {
"domain": "codereview.stackexchange",
"id": 11866,
"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#, sqlite, helper",
"url": null
} |
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