text stringlengths 49 10.4k | source dict |
|---|---|
ros
Title: Use leddar sensor with Local_map package
Hi everyone,
I tried to run the local_map package to get a occupation grid from the laser scan sensor (Leddar) but when i tried to run the package it doesn't construct the map... I tried the same package with the Laser msg from Kinect and it work very well.
Do i nee... | {
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"tags": "ros",
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Somewhat ironically, if you enter Product[(x^3+1)/(x^3-1),{x,2,n}] into WolframAlpha, you get exact output: $$\frac{3n(n+1)}{2(n^2+n+1)},$$ which is correct, furthermore upon taking Limit[3n(n+1)/(2(n^2+n+1)), n -> Infinity], you get the correct answer $3/2$. So it isn't as if WolframAlpha cannot compute the original s... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9683812318188366,
"lm_q1q2_score": 0.8396211437997304,
"lm_q2_score": 0.8670357460591569,
"openwebmath_perplexity": 653.8146849703953,
"openwebmath_score": 0.43474435806274414,
"ta... |
php, api, iteration, curl
Or another way, which I assume will be slower (because array_column() will be collecting all emails) is this functional design:
if (in_array($contactEmail, array_column($customer["_embedded"]["ngcp:customercontacts"], "email"))) {
die('El email utilizado ya ha sido registrado en la base d... | {
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"tags": "php, api, iteration, curl",
"url": null
} |
java, object-oriented, design-patterns, spring
if (rrResource.getStatus().equals("resolved") || rrResource.getStatus().equals("cancelled") ) {
status = "resolved";
}
String s = " \n Status ==>>" + rrResource.getStatus() + " \n Assign Resource Name ==>> " + rrResource.getResourceName() +
... | {
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"tags": "java, object-oriented, design-patterns, spring",
"url": null
} |
python
whole_time -= rand_time
working_hours_per_area[area] = rand_time / 100
total_aux = sum(working_hours_per_area.values())
if total_aux < 1.0:
diff = 1.0 - total_aux
min_hour = min(working_hours_per_area.keys(), key=(lambda k: working_hours_per_area[k]))
working_hours_per_... | {
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"tags": "python",
"url": null
} |
graphs
$d\le \min\{m,n\}$
$\lfloor\frac{2m}{n}\rfloor \le d$
The first bound is given by the fact that $d$ has at most $\min \{m,n\}$ edges. This is the correct way to bound $d$ from above, and in fact is the tightest bound we can give.
The second bound is actually the bound you proved (which is the interesting bound... | {
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} |
gravity, classical-mechanics
So the moment of the further half is indeed more than that of the closer half. In your calculation, I don't see any place where you distinguish between the two halves of the rod; all you're doing is calculating the moment of the whole thing. I'm not sure how you're concluding that your for... | {
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"tags": "gravity, classical-mechanics",
"url": null
} |
newtonian-mechanics, forces, vectors, superposition
Input quantities (positions) to this function are vectors. Output quantity (force) is also a vector. But this tells you nothing about the kind of form that the function $\vec{F}(\vec{r}_1, \vec{r}_2, \vec{r})$ has. For interaction to abide by law of superposition thi... | {
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"tags": "newtonian-mechanics, forces, vectors, superposition",
"url": null
} |
polynomials, pseudo-random-generators
Thus, to find the minimal period you want, you need to find the order of the minimal-order group element of $G_c$ (other than the identity element $1$).
Assuming $f,g$ have no common factor (i.e., $f\ne g$), the structure of $G_c$ is $G_c \cong G_f \times G_f$, where $G_f$ is the ... | {
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"tags": "polynomials, pseudo-random-generators",
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} |
which is $0$ when we have $\frac{i}{k - i} = 2^{-\frac{2}{\ln 2}} = 2^{-\lg e^2} = e^{-2}$. Therefore, $(1 + e^{-2})i = k$, $i = \frac{k}{1 + e^{-2}}$.
Since we are picking the two subtrees to be roughly equal size, the total depth will be order $\lg k$, with each level contributing $k$, so the total external path len... | {
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"lm_q2_score": 0.837619961306541,
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"openwebmath_score": 0.9957497119903564,
"tags": null... |
tensorflow, image-classification, loss-function, accuracy
The model's loss is increasing on both the training and the validation and the accuracy doesn't increase at all.
Does anyone have a clue why would the model perform so poorly on both the accuracy and loss function (of course related)? The problem was I didn't o... | {
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"tags": "tensorflow, image-classification, loss-function, accuracy",
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} |
# Solving this inequality
Question:
Solve: $$\frac{5x-6}{x+6}<1$$
My attempt:
$$\frac{5x-6-x-6}{x+6}<0$$ $$\Rightarrow \frac{4x-12}{x+6}<0$$ $$\Rightarrow \frac{x-3}{x+6}<0$$ $$\Rightarrow (x-3)(x+6) < 0$$
Thus, it implies that the answer is $-6 < x < 3$. However, in my textbook, it is given as wrong answer.
Can ... | {
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"lm_q2_score": 0.8791467627598857,
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"openwebmath_score": 0.8551735877990723,
"ta... |
c++, memory-management
}
Prefer to define a variable as late and in the inner-most scope possible.
Non-trivial class-types are a common exception where avoiding destruction and re-creation might be more performant.
Your indentation isn't really consistent, consider using your auto-formatter of choice.
You seem to suf... | {
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} |
python, python-3.x, file-system, ssh
def fix_filenames(files, directory, rgx, replacement, sftp):
for file in files:
if type(file) != str:
file = file.decode('utf-8')
if file.endswith(".jpg_c"):
print("Fixing", file)
new_end = re.sub(rgx, replacement, file)
... | {
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"tags": "python, python-3.x, file-system, ssh",
"url": null
} |
ros
SOLUTION
As Stefan suggested, installing the U71C firmware seemed to fix the issue. Thank you!
Originally posted by BSBingham on ROS Answers with karma: 108 on 2016-08-21
Post score: 0
Original comments
Comment by gvdhoorn on 2016-08-22:
I've given you some karma, so you should be able to upload images now.
Com... | {
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"tags": "ros",
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standard-model, electroweak
\left[g^2(W^1_\mu W_\mu^{1}+W^2_\mu W_\mu^{2})+(g^2+g^{\prime\,2})Z_\mu^2\right]
$$
where you see that
$$
\frac{g}{\sqrt{g^2+g^{\prime\,2}}}=\cos\theta_W
$$
and
$$
\frac{m_W^2}{m_{Z}^2\cos^2\theta_W}=1\,.
$$
in agreement with the literature.
Indeed, only the $Z$-boson and $W^{\pm}$ get mass... | {
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} |
For example, $$0011 \oplus 0101=0110$$. The following facts about the $$\tiny{\textrm{XOR}}$$ operation are frequently useful: \begin{aligned} x \oplus x &=000 \cdots & & \text { $$\tiny{\textrm{XOR}}$$'ing a string with itself results in zeroes. } \\ x \oplus 000 \cdots &=x & & \text { $$\tiny{\textrm{XOR}}$$'ing with... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9693242000616578,
"lm_q1q2_score": 0.8160019663436089,
"lm_q2_score": 0.8418256412990657,
"openwebmath_perplexity": 353.5144465834638,
"openwebmath_score": 0.9918864965438843,
"ta... |
forces, torque, buoyancy
(The translation is from me and it's old French that I sometimes struggle to get in shape!)
Third section, Chapter I: From the point around which the vessel oscillates, which is called roll, and the part that gravity has in these oscillations. (p 369 ....)
"The problem is solved, it is no long... | {
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"tags": "forces, torque, buoyancy",
"url": null
} |
Finding whether or not a counterexample exists
Does a counterexample exist for the following argument?
If person A is not home, then person B is. But, if A is not home, then B isn’t. So, they are both home.
Translated to logical notation:
1) $\neg A \to B$
2) $\neg A \to \neg B$
3) $\therefore A \land B$
To my u... | {
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"lm_q2_score": 0.8289387998695209,
"openwebmath_perplexity": 339.1959404036257,
"openwebmath_score": 0.806877613067627,
"tags... |
general-relativity, differential-geometry, tensor-calculus, vectors
$$
$$
B_{\lambda} \frac{dA^{\lambda}}{d\tau} + \Gamma_{\mu \nu}^{\lambda} \frac{dx^{\mu}}{d\tau}B_{\lambda}A^{\nu} +A^{\lambda} \frac{DB_{\lambda}}{D\tau} = B_{\lambda}\frac{dA^{\lambda}}{d\tau} + A^{\lambda}\frac{dB_{\lambda}}{d\tau}
$$
Rearrange:
$... | {
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"tags": "general-relativity, differential-geometry, tensor-calculus, vectors",
"url": nul... |
c#, strings, console
string source = Path.Combine(sourceRoot, relative);
string target = Path.Combine(targetRoot, relative);
string folderStructure = Path.GetDirectoryName(target);
/* etc */
}
This makes clear that there is shared structure under source and target, and there isn't any direct string manip... | {
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"tags": "c#, strings, console",
"url": null
} |
quantum-mechanics, hilbert-space, schroedinger-equation, scattering
Aside: You don't need to worry about the delta function $\delta^{(3)}(\vec{k}-\vec{p})$ (or even the one hiding in $(E(\vec{k})-E(\vec{p})+i\epsilon)^{-1}$ via the identity $(x+i\epsilon)^{-1}=\mathcal{P}[1/x]-i\pi \delta(x)$) since if you integrated ... | {
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"openwebmath_score": null,
"tags": "quantum-mechanics, hilbert-space, schroedinger-equation, scattering",
"url": nul... |
c++, array
if (v > * pmin)
{
oldMin = *pmin;
*pmin = v;
}
}
/*else
{
savedIterations++;
}*/
}
return ret; // As I understand, moving operator=( vector&& other ) will be used here
} using namespace std; is poor ... | {
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"tags": "c++, array",
"url": null
} |
rust, binary-tree
fn is_left(key: u64, branch_bit: u8) -> bool {
key & (1 << branch_bit) == 0
}
#[duplicate(
method reference(type) as_ref(v);
[find_insertion_point] [& type] [v.as_ref()];
[find_insertion_point_mut] [&mut type] [v.as_mut()];
)]
... | {
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"openwebmath_score": null,
"tags": "rust, binary-tree",
"url": null
} |
c#, design-patterns, pdf
public SalesReportBuilder AddFooter(
string footerText)
{
new FooterBuilder(_document).AddFooter(footerText);
return this;
}
public SalesReportBuilder AddPageNumbers(
DocumentInformation documentInfo)
{
new PageNumbersBuilder(_document).... | {
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"tags": "c#, design-patterns, pdf",
"url": null
} |
c#, performance, linq-to-sql
}
var productids = products.Skip((search.pageNo - 1) * search.pagesize).Take(search.pagesize).Select(c => c.ProductId).ToList();
var subcategory = _db.subcategories.Include(c => c.category).SingleOrDefault(c => c.SubCategoryId == subcategoryId);
string Name = string... | {
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"tags": "c#, performance, linq-to-sql",
"url": null
} |
Now, to calculate the definite integral, we need to take the limit as $n\to \infty .$ We get
$\begin{array}{cc}{\int }_{0}^{2}{x}^{2}dx\hfill & =\underset{n\to \infty }{\text{lim}}\sum _{i=1}^{n}f\left({x}_{i}\right)\text{Δ}x\hfill \\ \\ \\ & =\underset{n\to \infty }{\text{lim}}\left(\frac{8}{3}+\frac{4}{n}+\frac{1}{6... | {
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"lm_q1_score": 0.9863631623133665,
"lm_q1q2_score": 0.8154380658381675,
"lm_q2_score": 0.8267118004748678,
"openwebmath_perplexity": 616.297330089927,
"openwebmath_score": 0.8881406784057617,
"tags": nu... |
• A very interesting example. So, this tells us that any proof must take advantage of some property which holds for the reals but not for all finite fields. I wonder if the weaker conjecture that $|AA+A| \geq c|A+A|$, for some positive constant $c$, still holds in the finite field setting. – Oliver Roche-Newton Apr 28 ... | {
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"lm_q1_score": 0.9861513873424044,
"lm_q1q2_score": 0.8062522105291334,
"lm_q2_score": 0.8175744828610096,
"openwebmath_perplexity": 215.43700441519692,
"openwebmath_score": 0.9401553869247437,
"tag... |
c++, performance, interview-questions, c++20
opt_heap.erase(p_end, std::ranges::end(opt_heap);
Either way is probably both simpler and more efficient.
(One wonders if you even need a heap in the first place. It seems like you could achieve the same effect, and probably more efficiently, by just sorting by the cost an... | {
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"tags": "c++, performance, interview-questions, c++20",
"url": null
} |
only one point of the two graphs shown in parts (a) and (b) of Figure 13. The graph of h(x) passes the horizontal line test. A relation is a function, if each input is mapped to only one output. 3. . SURVEY . If every vertical line intersects the relation at only one point, then the relation is a function. This is call... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9683812272562464,
"lm_q1q2_score": 0.8464399793526768,
"lm_q2_score": 0.8740772286044095,
"openwebmath_perplexity": 306.50560383109644,
"openwebmath_score": 0.6036205887794495,
"tags": n... |
imperative-programming, semantics, big-picture
But means that you need to ensure that the denotational semantics validates those equivalences. So for this example, if you wanted to give a denotational semantics for this Java-like language, you need to ensure not just that calling new takes a heap and gives you back a ... | {
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"tags": "imperative-programming, semantics, big-picture",
"url": null
} |
newtonian-mechanics, forces, terminology
So, in summary, what you are proposing isn't technically wrong (if others agree on the use of your words), but it is unintuitive and not the common usage of the term "net force". | {
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"tags": "newtonian-mechanics, forces, terminology",
"url": null
} |
This sort of semi-formal argument can be treacherous. So let's do it more formally. Let $B$ be the event there is at least $1$ head, and let $A$ be the event there is a tail. We want $\Pr(A|B)$ (the probability of $A$ given $B$).
By a standard formula, $$\Pr(A|B)=\frac{\Pr(A\cap B)}{\Pr(B)}.$$
The probability of $B$ ... | {
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"lm_q1_score": 0.9873750496039276,
"lm_q1q2_score": 0.814053126935272,
"lm_q2_score": 0.8244619177503205,
"openwebmath_perplexity": 260.8596233685673,
"openwebmath_score": 0.9568850994110107,
"tags... |
robot-state-publisher, ros-indigo, transform
Originally posted by nckswt on ROS Answers with karma: 539 on 2015-06-04
Post score: 1
Original comments
Comment by vishu2287 on 2015-08-20:
Hi. Im using Jetson TK1 and facing the same problem. Did you get out of it? please help me.
Robot state publisher has died error c... | {
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"tags": "robot-state-publisher, ros-indigo, transform",
"url": null
} |
quantum-mechanics, quantum-spin, spinors
If 1. is true, then the $2S_1\otimes S_2$ is very annoying and I don't really know how to deal with this and thus how to find the eigenbasis of {$S^2,S_z$}
This assertion is essentially true.
To deal with the term $S_1\otimes S_2$, remember that this is a symplified notation f... | {
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special-relativity, statistical-mechanics, mathematical-physics, kinetic-theory, phase-space
The meaning of classical here is not that quantum effects are excluded which, in a hot plasma is anyway the case, because of the tinniness of the thermal quantum length $\lambda_{q} = \sqrt{2 \pi \hbar^{2} / m_{e} T}$. It imp... | {
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ros, moveit, headers, catkin
Originally posted by Wouter on ROS Answers with karma: 130 on 2013-05-07
Post score: 1
Original comments
Comment by Fabien R on 2013-06-25:
Did you use qt_ros to create your package ?
If you can move to ubunut 14.04 or 16.04 and to ros-indigo or kinect you can use the folowing ros_qtc_pl... | {
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c#, wpf, mvvm, xaml
<!--<TextBlock HorizontalAlignment="Left" Margin="10,0,0,0" TextWrapping="Wrap" Text="{Binding CreateOutputScan, UpdateSourceTrigger=PropertyChanged}" VerticalAlignment="Top"/>-->
<TextBlock HorizontalAlignment="Left" Margin="10,0,0,0" TextWrapping="Wrap" Tex... | {
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"tags": "c#, wpf, mvvm, xaml",
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waves, conventions
Title: What justifies adding phasors' vertical components I learned that, when superimposing two waves on top of each other to calculate the resulting wave's amplitude, it's helpful to use phasors. From what I gathered, phasors are vectors originating at the origin and ending at any position along t... | {
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the median. when you the!, I do n't know how to generate survival data often makes the mean a... Iii: Multivariate data analysis â choosing a model and assessing its adequacy and fit... case, but than! Handle this problem, we may also want to know median or survival! While others may be possible events in a covariate... | {
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• Re "I'M POSTING AS I DERIVE:", that's cool, that's like Vangelis composing and recording in real time (see YouTube documentary). Feb 25 '16 at 22:00
• @alancalvitti Or like Schubert composing his eighth symphony Feb 25 '16 at 23:38
• Think this is more of a pure mathematics problem than Mathematica one. Not more, but... | {
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c#, network-file-transfer, ftp
// note: This code can be considered public domain, or the absolute minimum licensing restrictions that CR allows. If you like it feel free to use it.
Note that I am mostly hoping for feedback on coding style, though any possible suggestions for simplification, or threading mistakes or ... | {
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functional-programming, scala
if (input.matches("[1-3]")) {
input.toInt
} else {
println("Please enter a number from 1 to 3")
nextRowOrCol(prompt)
}
}
The entire code
As the heading says, here's the entire code. You'll notice that it's wayyy longer than what you have currently, mostly because I used t... | {
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gazebo, urdf
[DEBUG] [1329326366.172900337]: [0.000000 0.001000 0.000000]
[DEBUG] [1329326366.172949061]: [0.000000 0.000000 0.001000]
[DEBUG] [1329326366.172987833]: debug: 0.000000 0.000000 0.000000
[DEBUG] [1329326366.173022669]: LINK NAME: [cube] from dMass
[DEBUG] [1329326366.173043504]: ... | {
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• Hi, I believe that the output of this operation would be a vector. I am curious about the right naming for such a vector. Would $v_i$ be an appropriate vector for that sense? I would prefer $v$ only, but I am not sure if it would be convenient for the reader to understand that the index $i$ is being used to denote th... | {
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"tags... |
c, parsing, functional-programming, lazy
list chars_from_string( char *v );
list chars_from_file( FILE *v );
object string_from_chars( list o );
void print( object o );
void print_list( list a );
void print_flat( list a );
void print_data( list a );
#define PRINT_WRAPPER(_, __, ___) printf( "%s: %s %s= ", __func__, #... | {
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quantum-mechanics, quantum-spin, definition, interference
But what about a system of coupled electrons, that could have very many possible spin states? Same goes for complex optical beams, where polarization state can be complicated.
My point here is that simple two-state quantum systems occur in nature, and are relat... | {
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ros
How to solve it?
Thank you~
Originally posted by sam on ROS Answers with karma: 2570 on 2012-10-07
Post score: 0
The error message "expected type-specifier" on the preceding line indicates that you have misspelled a type name or forgot to #include the appropriate header file where the type is defined. From this ... | {
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Yes,i used an online integrator and indeed integrated only half of the domain.
I'll edit and make a reference to your post & mine just above.
Daniel.
9. May 22, 2005
### uart
So just in case anyone is at all unclear about how this relates to the original observation that :
It's because $$\Gamma(x)$$ is easily expr... | {
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What exactly is the index $e$?
4. $(2^{k+1} \mid (n+2^k)) \Leftrightarrow \exists m \in \mathbb{N} (n+2^k = m 2^{k+1})\Leftrightarrow \exists m \in \mathbb{N} (n = (2m-1)2^k)$
So $k$ makes $2^k$ the max factor of n in power of $2$ which is, of course, unique.
5. Originally Posted by elim
$(2^{k+1} \mid (n+2^k)) \Left... | {
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"tags... |
javascript, performance, algorithm, integer, binary
// as number 0 or 1
bitValue = 0b11101101 & 0b01000000 ? 1 : 0 // ternary
bitValue - (237 & 64) === 0 ? 0 : 1
bitValue = ~~(bin & maskA); // Not Not operation
*/
Note that bitwise operations have a lower Precedence
than equality ==, === and inequali... | {
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continuum-mechanics
Title: Superior attachment of Möbius strip In this DIY project, the Möbius strip is used to make a spill-proof coffee cup carrier. The author uses a Möbius strip as the handle of this carrier and says
If you attach a Möbius strip to an object, say a bowling pin, and
swing it around your head, th... | {
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c#, rest, proxy
var response = await client.SendAsync(request);
if (response.StatusCode == HttpStatusCode.Unauthorized)
if(authenticate == null)
throw new AuthenticationException();
else
{
await authenticate(client);
return awa... | {
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Solution: Let $$O$$ be the origin. Then $$\vec{A_1} + \ldots + \vec{A_n} = 0$$. Hence,
\begin{aligned} \sum \lvert A_i P \rvert^2 & = \sum (\vec{P} - \vec{A_i}) \cdot (\vec{P} - \vec{A_i}) \\ & = \sum \left(\vec{P} \cdot \vec{P} + \vec{A} \cdot \vec{A} - 2 \vec{P} \cdot \vec{A_i}\right)\\ & = nr^2 + nr^2 - 2 \vec{P} \... | {
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"lm_q2_score": 0.8333246035907933,
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"openwebmath_score": 1.0000076293945312,
"tag... |
performance, matrix, r
if (MT == "test_1") {
## cells at upper-left corner
V1 <- ff2(cgrid(x = a1, y = a2)) * sqrt(2) * DB
## cells at upper-middle corner
V2 <- ff2(cgrid(x = a1, y = a3)) * DB
## cells at upper-right corner
V3 <- ff2(cgrid(x = a1, y = a4)) * sqrt(2) * DB
## cells at left co... | {
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math, generative-adversarial-networks, papers, notation
Title: What does equation in the "related work" section of the GAN paper mean? I was going through the paper on GAN by Ian Goodfellow. Under the related work section, there is an equation. I cannot decipher the equation. Can anyone help me understand the meaning ... | {
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The unit cube maps to a parallelepiped, whose volume is given by the determinant of the matrix that represents the linear transformation [6].
## For a nonlinear transformation think back to the slope of the quadratic
If we zoom in enough (mathematically, taking a limit) the quadratic looks like a straight line with i... | {
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"tags": ... |
c#, multithreading, .net
// Set log dir path of the logger, also store the path
m_logDirPath = logDirPath;
DppLogger.LogDirectory = logDirPath;
// Software HSM?
if (m_applicationMode != ApplicationMode.POSTER_VER)
... | {
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as was to be shown. Likewise for the sine function identity, follow the same procedure and take the imaginary part of the sum rather than the real part.
This is similar to the currently accepted answer, but more straightforward. You can use the trig identity \begin{equation*} \sin(\alpha + \beta) - \sin(\alpha - \beta... | {
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"openwebmath_score": 0.9943653345108032,
"tag... |
All questions under the category: scilab Ask a question No. Now that you have imported and processed your data in SCILAB, you would fine handy to save those instead of doing this tedious process any time you want to access your data. Examples string(rand(2,2)) deff('y=mymacro(x)','y=x+1') [out,in,text]=string(mymacro) ... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9433475683211323,
"lm_q1q2_score": 0.8073651018048328,
"lm_q2_score": 0.8558511506439707,
"openwebmath_perplexity": 3828.1249397353417,
"openwebmath_score": 0.40898624062538147,
"t... |
quantum-mechanics, scattering
Title: A question from Quantum Scattering theory Sakurai This is a question from scattering theory - solution for incoming plane wave and outgoing scattered wave:
In Sakurai's Modern Quantum Mechanics, I encountered the following line:
Furthermore, because of angular momentum conservatio... | {
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thermodynamics, adiabatic
There are a few things I don't get
It says that the work is zero because the external pressure is zero.... But the internal pressure is not, doesn't the gas push the piston as it expands, which is work, even if no external pressure force is present? Perhaps I am not understanding what "the p... | {
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"tags": "thermodynamics, adiabatic",
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ros, navigation
Title: Navigation stack error while launching
In my costmap_common_param.yaml file i've placed these two lines :
observation_sources: laser_scan_sensor
laser_scan_sensor: {sensor_frame:base_scan, data_type: LaserScan, topic: scan, marking: true, clearing: true}
When i am launching my nav_pkg i get th... | {
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"tags": "ros, navigation",
"url": null
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terminology, definitions, search, constraint-satisfaction-problems
Title: What is a successor function (in CSPs)? In Constraint Satisfaction Problems (CSPs), a state is any data structure that supports
a successor function,
a heuristic function, and
a goal test.
In this context, what is a successor function? A succe... | {
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"openwebmath_score": null,
"tags": "terminology, definitions, search, constraint-satisfaction-problems",
"url": null
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units, dimensional-analysis, conventions
The term "dimensionless quantity" is commonly used and is kept here for historical reasons. It stems from the fact that all exponents are zero in the symbolic representation of the dimension for such quantities. The term "quantity of dimension one" reflects the convention in wh... | {
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# Root-hunting algorithm: Newton's method
Problem: Given a real-valued function $$f(x)$$ in one real variable, what are the values $$x_0 \in \mathbb{R}$$ such that $$f(x_0) = 0$$?
If the function $$f(x)$$ is linear, then the problem is trivial. Explicitly, if $$f(x) = ax + b$$ for some $$a, b \in \mathbb{R}$$, then $... | {
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"tags": n... |
numerical-algorithms, error-estimation
My more "proper" solution, which does not put any constraints on the differential equation but instead uses an error estimation for the adaptive steps, more like a traditional approach. For anyone dealing with the same problem or interested in a solution here it goes.
For the Eul... | {
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This is useful for whenever we have a budget of a resource that we can use and we want to use it in the smartest way possible.
First we’ll formulate a recurrence—an optimal solution as a function of solutions to smaller subproblems—based on the structure of an optimal solution.
Let $S$ be the max-value solution to an... | {
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"lm_q2_score": 0.8221891239865619,
"openwebmath_perplexity": 1229.7954954713152,
"openwebmath_score": 0.49524566531181335,
"tags": null... |
haskell, enum, physics
Title: Module for isotopic masses and abundances I have written a small module for accessing data on isotope masses and relative abundances. My long term aim is to build tools in Haskell for working with mass spectrometry data. Any comments on how to improve this module will be greatly appreciat... | {
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gazebo, groovy
[rosmake-2] Finished <<< roswtf No Makefile in package roswtf
[rosmake-0] Finished <<< polled_camera ROS_NOBUILD in package polled_camera
[rosmake-1] Starting >>> std_srvs [ make ] ... | {
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"id": 2980,
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"tags": "gazebo, groovy",
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} |
time-dilation
Asking about the spatial distance along the straight line is possible but requires you to chose a frame of reference in which to ask it as there is no unique answer. | {
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"id": 34057,
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"tags": "time-dilation",
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} |
algorithms, optimization
Title: Paper-based algorithm to find longest formula which is common to at least two formulas Given a list of logical formulas:
f1: A&B
f2: A&D&C
f3: B&D&E
f4: A&B&C
f5:
fn: ...
In this case I want A&B as the longest formula which is common to at least two formulas.
Is there a simple algor... | {
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "algorithms, optimization",
"url": null
} |
c++, algorithm, c++11, complexity
Title: A partition algorithm for positive integers I have encountered the following problem that I found very interesting to solve:
Given an array of positive integers {a1, a2, ..., an} you are required
to partition the array into 3 blocks/partitions such that the maximum
of sums... | {
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"tags": "c++, algorithm, c++11, complexity",
"url": null
} |
sub lnzd1($n) { ([*] 1..$n).Str.subst(/0/,'', :g).substr(*-1) }
sub lnzd_number(Int $n ) { my$m = $n; while$m %% 10 { $m =$m div 10 } $m; } sub lnzd2(Int$n) { sub helper( Int $x , Int$acc) { if $x ==$n { lnzd_number($acc *$x) } else { helper($x+1,lnzd_number($acc * $x) ); } } helper(1,1) % 10; } 4. Globules said Her... | {
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"openwebmath_score": 0.4678383469581604,
"... |
most application in physics and astronomy. Vectors are different to scalars and must have their own notation. Retrieved 2015-06-24. Vector notation (ESAGJ). Definition 1 is an abstract definition, but there are many examples of vector spaces. The most commonly used vector norms belong to the family of p-norms, or ‘ p-nor... | {
"domain": "cleanupthepackers.com",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9852713874477228,
"lm_q1q2_score": 0.8008949145233167,
"lm_q2_score": 0.8128673223709251,
"openwebmath_perplexity": 542.805935340855,
"openwebmath_score": 0.7808359265327454,... |
javascript, jquery, css
Live-Demo on CodePen: http://codepen.io/mizech/pen/WxVpAr
Finished with that I had to admit that the version with the array isn't actually less code.
I personally still prefer the second approach with the array.
Would like to read your opinions!
Any hints how the code could be improved would ... | {
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"openwebmath_score": null,
"tags": "javascript, jquery, css",
"url": null
} |
particle-physics, nuclear-physics, heisenberg-uncertainty-principle, resonance, scattering-cross-section
You can think of a resonance either as an excited intermediate state or as an unstable particle. (Six of one, half-a-dozen of the other.) Most resonances have multiple decay modes (also called channels). The tot... | {
"domain": "physics.stackexchange",
"id": 49998,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "particle-physics, nuclear-physics, heisenberg-uncertainty-principle, resonance, sc... |
quantum-field-theory, lagrangian-formalism, renormalization, path-integral, 1pi-effective-action
Title: Confusion about the calculation of 1PI effective action using path-integrals The bare Lagrangian of the $\phi^4$-theory can be written in terms of bare parameters as $$\mathcal{L}=\frac{1}{2}(\partial_\mu\phi_0)^2-\... | {
"domain": "physics.stackexchange",
"id": 36657,
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"openwebmath_score": null,
"tags": "quantum-field-theory, lagrangian-formalism, renormalization, path-integral, 1pi-ef... |
automata, finite-automata
We would like to construct a NFA which accepts the language:
$$Q_0 = q_0 \setminus q_1$$
expanding one level gives:
$$Q_0 = (\epsilon \cup a q_0 \cup b q_0) \setminus (a q_1 \cup b q_1 \cup a q_2)$$
$$ = \epsilon \cup a (q_0 \setminus (q_1 \cup q_2)) \cup b (q_0 \setminus q_1)$$
$$ = \epsilon... | {
"domain": "cs.stackexchange",
"id": 21696,
"lm_label": null,
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"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "automata, finite-automata",
"url": null
} |
mechanical-engineering, applied-mechanics, finite-element-method, modeling, numerical-methods
Constraints:
I haven't talked about the process of applying the displacement constraints in the above procedure. There are several ways of applying these constraints. The most easily understood approach is to use Lagrange ... | {
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"id": 2635,
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"openwebmath_score": null,
"tags": "mechanical-engineering, applied-mechanics, finite-element-method, modeling, num... |
quantum-mechanics, atomic-physics
Title: What do the magical numbers mean in this Franck-Hertz experiment source code? I'm trying to model a Franck-Hertz experiment. I found this source code - https://github.com/PhysicsProjects/Franck-and-Hertz-Experiment , and I want to use this code as the basis of my program. I wil... | {
"domain": "physics.stackexchange",
"id": 46668,
"lm_label": null,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "quantum-mechanics, atomic-physics",
"url": null
} |
quantum-mechanics, classical-mechanics, experimental-physics, quantum-entanglement
I hope this question is meaningful and I wonder what the answer is. About $\pm 1$ nanosecond. The data can be visualized by plotting the difference between times of events at the two ends of the Bell experiment. The data from Gregor Wei... | {
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"id": 77700,
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"tags": "quantum-mechanics, classical-mechanics, experimental-physics, quantum-entanglement... |
c#, javascript, html, asp.net-mvc, cross-browser
you can achieve the same in the client side by doing this :
function isOutdatedBrowser(name, version) {
if(name == 'IE') { return true; }
const minimumVersions =
{
"Chrome": 57,
"Edge": 15,
"Safari": 12,
"Mobile ... | {
"domain": "codereview.stackexchange",
"id": 41915,
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"tags": "c#, javascript, html, asp.net-mvc, cross-browser",
"url": null
} |
symmetric matrix are symmetric with respect to the main diagonal. D Now, it’s not always easy to tell if a matrix is positive definite. are Generally, the symmetric matrix is defined as. and X is symmetric {\displaystyle \left\{\mathbf {x} :q(\mathbf {x} )=1\right\}} {\displaystyle C^{\dagger }C} {\displaystyle A} is a... | {
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"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.975946443607529,
"lm_q1q2_score": 0.8235964260317209,
"lm_q2_score": 0.8438951045175643,
"openwebmath_perplexity": 628.8097926999568,
"openwebmath_score": 0.8918614983558655,
"tags": n... |
# Proof of number being a primitive root
Question: let $p$ be a prime and let $g, k$ be integers. Show that if $g^k$ is a primitive root for $p$, then $g$ is a primitive root for $p$.
My attempt: given that $g^k$ is a primitive root for $p$, then:
${(g^k)}^{p-1} \equiv 1 \bmod p$
${(g^{p-1})}^{k} \equiv 1 \bmod p$
... | {
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"lm_q1_score": 0.9763105238756898,
"lm_q1q2_score": 0.819841111852199,
"lm_q2_score": 0.8397339696776499,
"openwebmath_perplexity": 109.15574228123958,
"openwebmath_score": 0.9824502468109131,
"tag... |
polymers
$$\ce{(CF2CF2)_{n} + 2nF2 -> 2nCF4}$$
Similar things can occur under extreme conditions (temperature and pressure) with:
Boranes
Nitric acid
80% NaOH or KOH
Aluminum chloride
Ammonia, some amines, and some imines | {
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"tags": "polymers",
"url": null
} |
I've seen it at the beginning of functions but don't know what it is.
• It means $x$ in the domain gets sent to $f(x)$ in the codomain. – Michael Albanese Apr 8 '15 at 3:11
• It says that the if value of the input of your function $f$ is $x$, then the corresponding output is $f(x)$. – Lubin Apr 8 '15 at 3:11
• It may ... | {
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"lm_q1_score": 0.9728307653134904,
"lm_q1q2_score": 0.8452214193047436,
"lm_q2_score": 0.8688267779364222,
"openwebmath_perplexity": 225.51302056813603,
"openwebmath_score": 0.8896098732948303,
"ta... |
c++, file-system
bool BinaryFile::close()
{
if(!_fstream.is_open())
{
std::cout << "File is not opened\n";
return false;
}
_fstream.close();
_fstream.clear();
_file_path.clear();
_file_read_pos = 0;
_file_size = 0;
_file_type = NONE;
return true;
}
main.cpp
#include <memo... | {
"domain": "codereview.stackexchange",
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"tags": "c++, file-system",
"url": null
} |
java, servlets
}
else
{
PrintWriter writer = resp.getWriter();
writer.println("<html>");
writer.println("<head><title>MyServlet</title></head>");
writer.println("<body><h1>MyServlet</h1>");
writer.println("<h2>DataSource</h2>");
Connection conn = null;
try {
writer.print... | {
"domain": "codereview.stackexchange",
"id": 9738,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, servlets",
"url": null
} |
water
Title: What additives could make a masonry unit water-repellent but vapor-permeable? I'm curious about some of the wondrous materials available today are able to repel liquid water but permit water vapor to pass through. I've heard that housewrap-type plastics accomplish this by being perforated with microscopic... | {
"domain": "chemistry.stackexchange",
"id": 4650,
"lm_label": null,
"lm_name": null,
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"openwebmath_score": null,
"tags": "water",
"url": null
} |
Or $\displaystyle T_{n+1}(x) = 2x T_{n}(x) - T_{n-1}(x)$
b)
$\displaystyle \int_{-1}^{1} T_{n}(x) \ dx$
Let $x = \cos \theta$
$\displaystyle = \int_{0}^{\pi} T_{n}(\cos \theta) \sin \theta \ d \theta = \int_{0}^{\pi} \cos(n \theta) \sin \theta \ d \theta = \frac{1}{2} \int_{0}^{\pi} \Big( \sin (n+1) \theta - \sin(n... | {
"domain": "mathhelpboards.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9838471647042428,
"lm_q1q2_score": 0.806649736063321,
"lm_q2_score": 0.8198933381139645,
"openwebmath_perplexity": 2089.3456630996634,
"openwebmath_score": 0.9478467106819153,
"ta... |
• whoops, should of noticed the backwards inequality, had it the right way on paper. kudos – Xian Oct 6 '15 at 3:43
• @Xian It happens :) I have edited my post as well. Do you understand my series of inequalities? – graydad Oct 6 '15 at 3:45
• yes, the answer makes sense (I figured the next steps were to replace the 3s... | {
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"lm_q2_score": 0.8459424314825852,
"openwebmath_perplexity": 390.0917697138173,
"openwebmath_score": 0.9965181946754456,
"tag... |
machine-learning, deep-learning
Title: Is there a difference between 'inference step time' and 'inference time'? I was looking at the table presented in Keras Applications and there is a column that says Time (ms) per inference step (CPU) and another for GPU. I did a quick research on the internet and I came across so... | {
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "machine-learning, deep-learning",
"url": null
} |
• In general you do not have $\Vert x_n - x_m \Vert \leq \Vert x_n -x \Vert$. Just draw your picture slightly different, namely let $(x_n)_{n\geq 1}$ approach $x$ not only from the left, but from both sides. This is exactly where the factor 2 is coming from. – Severin Schraven Sep 24 '16 at 22:12
• @SeverinSchraven I s... | {
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"id": null,
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"lm_q1_score": 0.9780517469248845,
"lm_q1q2_score": 0.8041435175402948,
"lm_q2_score": 0.8221891327004132,
"openwebmath_perplexity": 167.3627223452707,
"openwebmath_score": 0.9428872466087341,
"tag... |
javascript, jquery, html, dom
/* MY DRIER SOLUTION 2 */
function jCleaner() {
return $(this).filter(function() {
return ($(this).text().trim() == ' ' || $(this).text().trim() === '');
}).remove();
}
$('p, span, strong').each(jCleaner);
And the original HTML is:
/* ORIGINAL HTML */
<script src... | {
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"tags": "javascript, jquery, html, dom",
"url": null
} |
• the time complexity is $$O(k)$$ as the while loop decreases the value of $$k$$ by $$1$$ at each iteration;
• the space complexity is constant.
### Using recursion
When discussing this solution, the interviewer might explicitly ask for a recursive solution. The definition of power by repetitive multiplication alrea... | {
"domain": "davidespataro.it",
"id": null,
"lm_label": "1. YES\n2. YES",
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"lm_q1_score": 0.9865717436787543,
"lm_q1q2_score": 0.8263721897653897,
"lm_q2_score": 0.8376199653600372,
"openwebmath_perplexity": 361.38558177664623,
"openwebmath_score": 0.8275917172431946,
"tag... |
reference-request, graph-theory, graph-algorithms, treewidth
Title: Enumerating Planar Graphs of Bounded Treewidth I am looking for references for the following problem: given integers $n$ and $k$, enumerate all non-isomorphic planar graphs on $n$ vertices and treewidth $\leq k$. I'm interested both in theoretical and... | {
"domain": "cstheory.stackexchange",
"id": 2970,
"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": "reference-request, graph-theory, graph-algorithms, treewidth",
"url": null
} |
organic-chemistry, acid-base
Title: What's the pKa (range) of a carbonyl functional group? Why is a $\mathrm pK_\mathrm a$ value for carbonyls never mentioned anywhere in textbooks I've use while other functional groups have these values? As per comments you are asking for the $\mathrm{p}K_\mathrm{a}$ value of a hydro... | {
"domain": "chemistry.stackexchange",
"id": 4413,
"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": "organic-chemistry, acid-base",
"url": null
} |
For $x+15.4y=12.5$, the solutions can be written as such: $$\begin{bmatrix}x \\y \end{bmatrix} =\begin{bmatrix}-15.4 \\1 \end{bmatrix}k \ +\ \begin{bmatrix} 12.5\\ 0\end{bmatrix},\quad \text{for }k\in\mathbb{R}$$
For $a+4.15b+7.25c+22.01d=2.54$, the solutions can be written as such: $$\begin{bmatrix}a\\b\\c\\d \end{bma... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9752018426872776,
"lm_q1q2_score": 0.8083826595317678,
"lm_q2_score": 0.8289388146603365,
"openwebmath_perplexity": 167.97101142512352,
"openwebmath_score": 0.7846561670303345,
"ta... |
beginner, haskell, math-expression-eval
evalExp d (Call "tanh" (arg1:_)) = liftM tanh (evalExp d arg1)
evalExp d (Call "asinh" (arg1:_)) = liftM asinh (evalExp d arg1)
evalExp d (Call "acosh" (arg1:_)) = liftM acosh (evalExp d arg1)
evalExp d (Call "atanh" (arg1:_)) = liftM atanh (evalExp d arg1)
evalExp d (Call "log"... | {
"domain": "codereview.stackexchange",
"id": 19297,
"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": "beginner, haskell, math-expression-eval",
"url": null
} |
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