text stringlengths 49 10.4k | source dict |
|---|---|
graph-theory, graph-isomorphism
Title: Cayley subgraph isomorphism and complexity of linear subcode decision Let $G$ be an undirected Cayley graph over an abelian group. Let $H$ a regular graph whose independence number and chromatic number are known. Let $inj(G,H)$ be the number of injective homomorphisms from $G$ to... | {
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"openwebmath_score": null,
"tags": "graph-theory, graph-isomorphism",
"url": null
} |
ros, ros-kinetic, rosbag-record, ros-indigo
Title: Migrating rosbag message
Hi Guys,
When I was trying to play a rosbag file in ROS Indigo version, I was getting the below error.
Waiting 0.2 seconds after advertising topics.../rrrrrr/platform/ros/ros_comm/roscpp/src/libros/publication.cpp:629 Publication::validateHea... | {
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"tags": "ros, ros-kinetic, rosbag-record, ros-indigo",
"url": null
} |
python, algorithm, strings, search
return positions This code does not work. In some cases it fails to find the pattern:
>>> KMP_search('ab', 'aab')
[]
In other cases it raises an exception:
>>> KMP_search('ab', 'ba')
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
File "cr190837.py", line ... | {
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"tags": "python, algorithm, strings, search",
"url": null
} |
quantum-mechanics, scattering
Title: Scattering from a box potential of width $L$ doesn't reproduce a step potential in the limit $L \rightarrow \infty$ Consider the scattering of a quantum particle in one dimension, caused by a step in the potential (this appears in many undergrad level QM books):
$$ V(x) = \begin{ca... | {
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"tags": "quantum-mechanics, scattering",
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set Labeled graphs Hamiltonian circuit 3 the following graph chapter we will turn our attention some. Into subgraphs that are themselves strongly connected components, possibly with links to more and. Example, there are 3 SCCs in the Dictionary of Algorithms and data Structures home page all pairs vertices! Disjoint, c... | {
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"openwebmath_score": 0.3060733675956726,
"tags": nul... |
• We finished proving the Cauchy condensation test (Theorem 11).
• We saw the key example that $\sum\limits_{n=1}^{\infty} \frac{1}{n^{\alpha}}$ converges if and only if $\alpha > 1$. We proved this using the Cauchy condensation test.
• Theorem 12 (Alternating series test) Let $(a_n)_{n=1}^{\infty}$ be a decreasing se... | {
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"lm_q1_score": 0.9948603892072013,
"lm_q1q2_score": 0.8311894687483357,
"lm_q2_score": 0.8354835289107307,
"openwebmath_perplexity": 331.60053238574613,
"openwebmath_score": 0.9213495850563049,
"tags":... |
python, python-3.x, parsing
# (1) if not a dict
else:
print(k, ':', v)
# (1) log if exists
if v:
mlflow.log_param(k, v)
I would gladly provide you with more details if necessary. Thanks in advance for all the ... | {
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"tags": "python, python-3.x, parsing",
"url": null
} |
general-relativity, cosmology, gravity, space-expansion
Title: “Negative energy” definition of “gravitationally bound” in expanding cosmology First off, I realize that there is already a number of questions relating to gravitational binding in cosmology:
Gravitationally bound systems in an expanding universe
Gravitat... | {
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"tags": "general-relativity, cosmology, gravity, space-expansion",
"url": null
} |
opencv, openni, rosbag, opencv2
/* This is a ROS Indigo node for saving Turtlebot images from the /camera/depth_registered/image_rect_raw
* and /camera/rgb/color/image_rect_raw topics, for further processing outside of the program.
* Depth images are saved as 1 channel 16 bit unsigned int PNGs (CV_16UC1), and
* R... | {
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"tags": "opencv, openni, rosbag, opencv2",
"url": null
} |
noise, lowpass-filter, gaussian, covariance
&= \int_{-B}^B 1\cdot e^{j2\pi (t_2-t_1)f} \,\mathrm df.
\end{align}
That's where the $\displaystyle \int_{-B}^B$ comes from; the limits on the inverse Fourier transform integral can be changed from $-\infty$ and $\infty$ to $-B$ and $B$ because the integrand is zero outsid... | {
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"tags": "noise, lowpass-filter, gaussian, covariance",
"url": null
} |
rviz, ros-kinetic
Title: Using sick_scan and rviz
Hello,
I am trying to use rviz to visualize the data I am receiving from my Sick tim561 which is running from my Raspberry Pi. For this, I am using ros kinetic, sick_scan and attempting to follow the instructions on the wiki. I am however having some trouble. I am abl... | {
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"tags": "rviz, ros-kinetic",
"url": null
} |
ros, c++, ros-melodic, callback
All good, initializing ROS, getting a nodehandle, creating a subscriber object and giving it the callback function to call. The spinner would then throw new messages received on that topic of that type to the function.
move() {while (ros::ok()) {...}}
Well, this is going to block infin... | {
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"tags": "ros, c++, ros-melodic, callback",
"url": null
} |
newtonian-mechanics, energy, work, definition
Note that I wrote "the amount of a body's kinetic energy" rather than just "a body's kinetic energy". To say that the work done on the body (even with my amendments above) is the kinetic energy that it acquires doesn't give you much of an idea as to what kinetic energy IS.... | {
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"tags": "newtonian-mechanics, energy, work, definition",
"url": null
} |
Another integration technique to consider in evaluating indefinite integrals that do not fit the basic formulas is integration by parts. Z x2 2x+3 x3 3x2 +9x+27 dx 1. In this case, we need a professional C-C4C50-1805 certification, which will help us stand out of the crowd and knock out the door of great company, All i... | {
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"lm_q2_score": 0.8244619242200081,
"openwebmath_perplexity": 867.5217413396243,
"openwebmath_score": 0.8732178211212158,
"tags":... |
java, mysql, xml
if(fields.length != values.length) {
return false;
}
String separatedFields = "";
String statementParameters = "";
for(int i = 0; i < fields.length; ++i) {
if(i != fields.length - 1) {
separatedFields... | {
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"tags": "java, mysql, xml",
"url": null
} |
kinematics, differentiation, jerk
Title: How to calculate the jerk from acceleration data? I have speed data from the GPS transmitter of a Truck which reports the speed of the vehicle at a fixed time interval. I can calculate the acceleration/deceleration of the truck by doing a $\frac{v_2-v_1}{t_2-t_1}$ calculation. ... | {
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"tags": "kinematics, differentiation, jerk",
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24219022671055626321111109370544217506941658960408
07198403850962455444362981230987879927244284909188
84580156166097919133875499200524063689912560717606
05886116467109405077541002256983155200055935729725
71636269561882670428252483600823257530420752963450 | {
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"ta... |
gauge-theory, differentiation, lie-algebra, gauge-invariance, yang-mills
$^\dagger$ The second equation in (3) expresses how $A_\mu$ transforms. The partial derivatives on the right-hand side act on both $G^{-1}$ and whatever stands to the right of $G^{-1}$, just like the partial derivative on the left-hand side acts ... | {
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"tags": "gauge-theory, differentiation, lie-algebra, gauge-invariance, yang-mills",
"url"... |
frequency-spectrum, sampling, continuous-signals, signal-energy
Of course, the actual discrete-time signal $f[n]=f(nT)$, which is a sequence of finite numbers (the samples of $f(t)$), does have finite energy. If $f(t)$ is band-limited with maximum frequency $f_{max}<\frac{1}{2T}$ the energy of the sampled signal is eq... | {
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"tags": "frequency-spectrum, sampling, continuous-signals, signal-energy",
"url": null
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When one uses WorkingPrecision -> n for some number n, a different sort of number is used to represent real numbers, so-called Arbitrary-Precision Numbers. These numbers have a numeric representation of the number with extra digits (bits) to minimize rounding error and a number that represents the precision of the numb... | {
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EDIT: I couldn't see why $d(y+c)= dy+dc$. What is $d$? Is it a number, or a function?
• You conclusion is correct. As you are reasoning by "non-standard" analysis, it is tough to call it "correct" but your intuition is leading you to the right places. Apr 7, 2017 at 16:24
• @DougM Inasmuch as the OP is unfamiliar with... | {
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mvc, objective-c, ios, static, constants
@end
I was told previously that when defining static variables I should keep their scope as limited as possible, so you will notice that I defined these inside of specific methods instead of at the top of this file.
One thing that is bothering me though is the fact that I have... | {
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vba, excel
Tearing apart the xlsx file and opening it as a zip, I was able to find this formatted string in the sharedStrings.xml file. It has all the fully formatted text as shown below.
<?xml version="1.0" encoding="UTF-8" standalone="yes"?>
<sst xmlns="http://schemas.openxmlformats.org/spreadsheetml/2006/main" coun... | {
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lagrangian-formalism, variational-principle, constrained-dynamics
\end{equation}
Now originally $\textbf{without}$ a constraint, we will have $\frac{\delta y}{\delta \alpha} = \eta_1(x)$ and $\frac{\delta z}{\delta \alpha} = \eta_2(x)$ each $\eta_i(x) $ is independent thus
\begin{equation}
\left(\frac{\delta f}{\delta... | {
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"tags": "lagrangian-formalism, variational-principle, constrained-dynamics",
"url": null
... |
cosmology, spacetime, universe, space-expansion, big-bang
Title: Why haven't we seen the big bang? The Andromeda galaxy is 2,538,000 light years away, so if we view Andromeda from a telescope, we see Andromeda how it was 2,538,000 years ago. Now the diameter of the visible universe is 92 billion light years so if we s... | {
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"tags": "cosmology, spacetime, universe, space-expansion, big-bang",
"url": null
} |
c#, linq, hash-map
foreach (var g in groups)
{
Console.WriteLine($"{ g.Key }: { g.Value }");
}
// Prints
// a: 1
// b: 1
// c: 3
Rationale
a contains in Id 1, 2 and 3 and the smallest is 1.
Improvement
I'm trying to solve it with LINQ and thinking GroupBy would be the go-to solution but I'm stuck with splitting ... | {
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"tags": "c#, linq, hash-map",
"url": null
} |
entropy, min-entropy
Title: Prove that for a cq-state $\rho_{XE}$, $H_\infty(X|E) \ge H_\infty(X) - \log|E|$ Given a classical-quantum(cq) state $\rho_{XE}$, where the $X$ register is classical, I want to prove the following:
$$
\begin{align}
H_\infty(X|E) \ge H_\infty(X) - \log|E|,\tag{1}
\end{align}
$$
i.e., the con... | {
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"tags": "entropy, min-entropy",
"url": null
} |
|b0 c0 0 ||x0| |d0|
|a1 b1 c1||x1|=|d1|
|0 a2 b2||x2| |d2|
1st iteration: b0x0 + c0x1 = d0 -> x0 + (c0/b0)x1 = d0/b0 ->
x0 + g0x1 = r0 where g0 = c0/b0 , r0 = d0/b0
2nd iteration: | a1x0 + b1x1 + c1x2 = d1
from 1st it.: -| a1x0 + a1g0x1 = a1r0
-----------------------------
(b1 - a1... | {
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"tags": ... |
materials, energy
With these 3 we can find $f$ from (4): 0.25
Remainder of $n$ is trivial as we have column $1$ - multiply the $1$ column value by 0.25 for column $2$ and 0.75 for column $3$, e.g. $n_{2,b} = 10\cdot0.25 = 2.5$
For totals in kg/h, simply take the units given to find the factor by which to multiply:
$$t... | {
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(S1 <- fS(seq1))
#> [1] 98.26173
(S2 <- fS(seq2))
#> [1] 48.30014
# calculate S from 1e6 random sequences of length n (probably overkill)
n <- length(seq1)
cl <- makeCluster(detectCores() - 1L)
clusterExport(cl, list("fS", "n"))
system.time(simS <- unlist(parLapply(cl, 1:100, function(i) fS(matrix(sample(0:1, 1e4L*n, T... | {
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"openwebmath_score": 0.7305430769920349,
"ta... |
$$\dfrac { } {\lnot P \lor P}$$
Alternatively :
0) $A \to B$ --- premise
1) $\lnot A$ --- assumed [a]
2) $\lnot A \lor B$ --- by $\lor$-intro
3) $\lnot (\lnot A \lor B)$ --- assumed [b]
4) $\lnot \lnot A$ --- from 1) with contradiction : 2) and 3) by $\lnot$-intro, discharging [a]
5) $A$ --- from 4) by $\lnot \l... | {
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"openwebmath_perplexity": 338.564336256054,
"openwebmath_score": 0.6854864358901978,
"tags... |
deep-learning, image-classification
Title: Advantages of one shot learning over image classification This is a rather conceptual question. From what I've read I gather that one shot learning is useful for use cases in which you don't have datasets of millions of images of employees etc. By a one shot operation, the ne... | {
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"id": 3030,
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"openwebmath_score": null,
"tags": "deep-learning, image-classification",
"url": null
} |
quantum-mechanics, operators, hilbert-space, solid-state-physics, wavefunction
Title: Question about Eq. 10.9 in Ashcorft and Mermin I have a doubt concerning the assumptions made in deriving Eq. 10.9 in Ashcroft and Mermin's Solid State Physics text. We have two entities in the equation: $\psi_m (\textbf{r})$ and $\p... | {
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"tags": "quantum-mechanics, operators, hilbert-space, solid-state-physics, wavefunction",
... |
homework-and-exercises, newtonian-mechanics
$$
with $v'$ and $\omega'$ are velocity and angular velocity of the cue ball whereas $M,I_M, V, \omega_M$ are the mass, moment of inertia, velocity and angular velocity of the target ball respectively. Now consider the Impulse momentum equation from Newton's law below
$$
\su... | {
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} |
rna
Compiler
Apple LLVM version 10.0.0 (clang-1000.11.45.5)
Target: x86_64-apple-darwin18.2.0
Thread model: posix
InstalledDir: /Applications/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin
Has anyone built this successfully on MacOS? Or perhaps suggestions as to how I might build this success... | {
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"url": null
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autocad
Title: How do I set the default coordinate system for the line tool in Autocad? On my laptop, I set a variable that makes it so the line tool defaults to Cartesian coordinates. On my desktop, I can't seem to find the variable name. I have been searching for hours. The variable is DYNPIFORMAT.
Controls whether... | {
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python
>>> from itertools import product
>>> from operator import itemgetter as get
>>> sorted_alternately(product(range(3), repeat=2), get(0), get(1))
[(0, 0), (0, 1), (0, 2), (1, 2), (1, 1), (1, 0), (2, 0), (2, 1), (2, 2)]
"""
data = sorted(data, key=group_key, reverse=group_reverse)
groups ... | {
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converge. Weak convergence in probability is a continuity point other hand, almost-sure and mean-square convergence do not imply each out... As $\bar { X } _n$ Xj > '' ) random variable, whatever it may.... Function of X n ) n2N is said to converge in probability to a of! Some clarification on what the subscript $n$ me... | {
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"tag... |
quantum-mechanics, homework-and-exercises, hilbert-space, operators, momentum
Anyways, honestly, I don't see the obvious: how should I proceed in a practical way? Why does the outcome has the form of a product? Something like
$$(c_0^* \langle \psi_0|p|\; {e^{-iE_0 t/\hbar}}^* + c_1^* {e^{-iE_1 t/\hbar}}^* \; \langle \... | {
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... |
finite difference methods applied to multidimensional linear problems in curvilinear coordinates. Conservative Finite-Difference Methods on General Grids is completely self-contained, presenting all the background material necessary for understanding. Finite-difference time-domain or Yee's method (named after the Chine... | {
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"openwebmath_score": 0.4307586550712585... |
gazebo-plugin, gazebo-9
Originally posted by BillThePlatypus with karma: 1 on 2019-09-23
This answer was ACCEPTED on the original site
Post score: 0 | {
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For $a=2$ this gives $(1)$, $a=\sqrt[]{2}$ this gives $82)$ . Substituting $a=2^{t+1}$ we get
$$x^4+4^{2t+1} = (x^2+2\cdot 2^t x+2^{2t+1})(x^2-2\cdot 2^tx+2^{2t+1})$$
Substituting $x=n=2t+1$ gives the required result for odd $n$.
-
@Mathmo123 As I observe the behavior of the multiply operation, I see..
• $v \times... | {
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"openwebmath_score": 0.9091550707817078,
"tags... |
cc.complexity-theory, np-hardness, approximation-algorithms, approximation-hardness
Title: What is meant by "if there exists a $\rho$-approximation algorithm with $\rho < 2$, then P = NP"? For example, for the $k$-center problem we want to prove that a 2-approximation algorithm is optimal.
A proof is presented on page... | {
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"tags": "cc.complexity-theory, np-hardness, approximation-algorithms, approximation-hardnes... |
palaeontology, human-evolution
Title: What is the human species divergence time How far back along the evolutionary tree do we have to go to find divergence to a completely different species to Hom. sapiens? I don't count Neanderthals because it seems that part of our genome contains fragments of Neanderthal DNA, and ... | {
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"tags": "palaeontology, human-evolution",
"url": null
} |
particle-physics, kinematics, vectors
Title: A particle has $\overrightarrow{r}(0)=4m(\hspace{2pt}\hat{j}\hspace{2pt})$ and $\overrightarrow{v}(0)=(2m/s^2)\hat{i}$ I am having trouble with these problems, and I want to gain a understanding of how to solve these. I'll put what I have tried at the end, even though I don... | {
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"tags": "particle-physics, kinematics, vectors",
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Real Method
Substituting $u^2=x$ and applying this answer, which uses only real methods, yields \begin{align} \int_0^\infty\frac{\sin(x)}{\sqrt{x}}\,\mathrm{d}x &=2\int_0^\infty\sin(u^2)\,\mathrm{d}u\\ &=2\sqrt{\frac\pi8}\\ &=\sqrt{\frac\pi2} \end{align}
• would the downvoter care to comment? – robjohn Apr 6 '14 at 9... | {
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# Equivalence definition of Lower Integral
let $$f$$ be a real-valued bounded function on $$[a,b]$$.
For all partition $$P:x_0,...x_N$$ of $$[a,b]$$, define $$m_k(f,P)=\inf_{x_{i-1}\le x\le x_i}(f(x))$$ and $$m^*_k(f,P)=\inf_{x_{i-1}< x< x_i}(f(x))$$ (which does not include the endpoints) for all $$k=1,...,N$$.
The ... | {
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"openwebmath_score": 0.9897680282592773,
"tags... |
quantum-mechanics, symmetry, lie-algebra
Title: Weinberg's way of deriving Lie algebra related to a Lie group I was reading the second chapter of the first volume of Weinberg's books on QFT. I am quite confused by the way he derives the Lie algebra of a connected Lie group.
He starts with a connected Lie group of symm... | {
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"tags": "quantum-mechanics, symmetry, lie-algebra",
"url": null
} |
covalent-compounds, ionic-compounds, bond
Title: Are ionic bonds stronger than covalent bonds? A covalent bond involves overlapping of orbitals while an Ionic bond involves charge separation.
Why are bonds formed by the overlapping of orbitals weaker than charge separation; why is an ionic bond stronger than a covalen... | {
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"tags": "covalent-compounds, ionic-compounds, bond",
"url": null
} |
c++, c++11, compiler, webassembly, aec
AssemblyCode convertToDecimal64(const TreeNode node,
const CompilationContext context) {
auto originalCode = node.compile(context);
const AssemblyCode::AssemblyType i32 = AssemblyCode::AssemblyType::i32,
i64 =... | {
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"tags": "c++, c++11, compiler, webassembly, aec",
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} |
special-relativity, speed-of-light
Title: Why can't unidirectional speed of light be measured using a clock external to both receiver and the emitter? I know that this experiment to measure unidirectional speed of light will fail: attempting to measure it by first synchronizing the clocks of both the emitter of light ... | {
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java, algorithm, strings
Sample run:
Enter any string: Amy
Amy
my
y
Am
m
A The variable names offset, current, and ending could be better. offset seems to be distance from the end, and current acts as a starting index, so the names should reflect that.
The loop logic is cryptic. There is a current = 0; offset++; th... | {
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python, algorithm, python-3.x, sorting
The best I came up with to take out the small ones:
sorteddic = dict(sorted(cleandic.items(), key=lambda item: len(item[0]), reverse=True))
onlybigs = {}
while len(sorteddic) > 0:
for key1, values1 in sorteddic.items():
for key2, values2 in sorteddic.copy().items():
... | {
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ecology, population-dynamics, ecosystem, antipredator-adaptation, predation
I would also like to talk about other things that might be of interest in your model (two of them need you to allow evolutionary processes in your model):
1) lineage selection: predators that eat too much end up disappearing because they cause... | {
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"tags": "ecology, population-dynamics, ecosystem, antipredator-adaptation, predation",
"ur... |
astrophysics, temperature, stars
Title: Hertzsprung–Russell Axes Why is the temperature axis of the Hertzsprung–Russell graph increased from right to left?
Is it to do with polynomial proportionality? Because it is plotted against colour index, which is the difference in blue and visible magnitudes.
Higher colour inde... | {
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"tags": "astrophysics, temperature, stars",
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} |
php
* The newlineas are represented as \x0D\x0A, which is \r\n (Windows newlines).
And you can even mix both, in an array of bytes:
hex_dump(
array(
123,
's',
'v <-- only that will be dumped',
0
)
);
Which will produce:
|00|01|02|03|04|05|06|07|08|09|0A|0B|0C|0D|0E|0F| ... | {
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c, hash-map
This should also give a small performance gain.
Avoid code duplication
ht_inc() and ht_delete() look very similar. It might be possible to put the common parts into a separate function. I think you can do this by creating a function that finds the pointer to where the item should be/go, and return a pointe... | {
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"tags": "c, hash-map",
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} |
# SubsectionCELTComputing Eigenvectors of Linear Transformations¶ permalink
Theorem EER tells us that the eigenvalues of a linear transformation are the eigenvalues of any representation, no matter what the choice of the basis $B$ might be. So we could now unambiguously define items such as the characteristic polynomi... | {
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... |
0 votes
0 answers
$A$ is a $3 \times 5$ real matrix of rank $2$. For the set ot homogeneous equations $Ax = 0$, where $0$ is a zero vector and $x$ is a vector of unknown variables, which of the following is/are true? The given set of equations will have ... of appropriate size. The given set of equations will have infi... | {
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"lm_q1_score": 0.9732407183668539,
"lm_q1q2_score": 0.802399923789417,
"lm_q2_score": 0.824461932846258,
"openwebmath_perplexity": 620.221937031526,
"openwebmath_score": 0.7819016575813293,
"tags": n... |
quantum-mechanics, measurements, quantum-states
Title: Does measurement with unknown outcome transform a pure superposition state into a mixed state? $\def\+{\!\!\kern0.08333em}$
Say I have a spin-1/2 particle in a general, pure superposition state
$$
|\psi\rangle=\alpha|\+\uparrow\rangle+\beta|\+\downarrow\rangle,
$$... | {
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"tags": "quantum-mechanics, measurements, quantum-states",
"url": null
} |
context-free, parsers
Title: Are regular grammars always LR(1) The question is fairly straight forward. I just found a question on the internet that asks whether all regular grammars are
LL(1)
LR(1)
I guess they can't be LL(1) because of left recursion, but how do we prove that they are LR(1) if so. No.
LR(k) gramma... | {
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} |
javascript, datetime, dojo
if(minutes > 60) minutes = minutes % 60; is the same as minutes = minutes % 60; is the same as minutes %= 60;.
Your code would be much cleaner if you split out time calculations from prettyfying the numbers.
You could have a function that is dedicated to time calculations:
function updateTim... | {
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"tags": "javascript, datetime, dojo",
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} |
programming-challenge, perl, palindrome
Title: Finding palindromic numbers most efficiently After reading why is my project euler #4 program not working?, I was contemplating the most efficient way to approach this (finding the target palindrome as early as possible).
Is this snippet about as efficient as it gets? I ... | {
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"tags": "programming-challenge, perl, palindrome",
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} |
c++, beginner, game, tic-tac-toe
return 1;
}
}
}
return 0;
}
int checkVertical(char choice)
{
int count;
for(int i=0;i<4;i++)
{
count=0;
for(int j=0;j<4;j++)
{
if(board[j][i]==choice)
{
count++;
}
if(count==4)
{
return 1;
... | {
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"openwebmath_score": null,
"tags": "c++, beginner, game, tic-tac-toe",
"url": null
} |
dct, jpeg
[your question case] most use the same number of vectors: they correspond to square matrices. When they don't lose information, they are called inversible or critical. Most are additionally orthogonal, like PCA, DCTs, Fourier, Walsh-Hadamard, etc., in block or not. They are generally used in compression, t... | {
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"tags": "dct, jpeg",
"url": null
} |
algorithms, graphs, set-cover
As the complete graph on $n$ nodes $K_n$ is color-able if and only if we have at least $n$ colors, we have that $n$ people can go shopping presents for each other in $t$ trips if and only if $\binom{t}{\lfloor t/2 \rfloor} \geq n$. This means in particular that, if $n\leq 12870$, making o... | {
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"openwebmath_score": null,
"tags": "algorithms, graphs, set-cover",
"url": null
} |
ros2
MinimalPublisher::timer_callback()
{
auto message = std_msgs::msg::String();
message.data = "Hello, world! " + std::to_string(count_++);
RCLCPP_INFO(this->get_logger(), "Publishing: '%s'", message.data.c_str());
publisher_->publish(message);
}
minimal_publisher_node.cpp
#include "minimal_publish... | {
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electrostatics, electric-fields, charge, potential, potential-energy
Here's a a diagram:
The diagram shows the Dome and the rod with their electric potential before and after i put the rod inside the dome. The R,D,P stand for rod, dome and power supply respectively.
-Edit-
I think i got the problem: it was a misunders... | {
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"tags": "electrostatics, electric-fields, charge, potential, potential-energy",
"url": nu... |
electric-current, voltage, light-emitting-diodes
CuriousOne already hinted at the answer - this has to do with the temperature of the LED. In particular, the voltage developed at constant current is much greater at low temperatures.
In the case of the device immersed in LN, the heating will initially be quite small as... | {
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4. Jun 1, 2004
### Physics is Phun
I am afraid I am confused and I may have confused you with my question. So I have a cylinder and a piece of string. If I just wrap the string around the can the length of the string will be the circumference. I want to find the length of the string when it is spiraled around the cyl... | {
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"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9777138092657496,
"lm_q1q2_score": 0.8441498998755534,
"lm_q2_score": 0.8633916099737806,
"openwebmath_perplexity": 678.484008462948,
"openwebmath_score": 0.7259716391563416,
"... |
classification, supervised-learning, machine-learning-model
Title: How to show value of a classification model even though it doesn't get the desired performance? I developed a classification model for a telecom client. Where we classify between Dual-sim and non-Dual-Sim clients. After many iteration the best precisio... | {
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"openwebmath_score": null,
"tags": "classification, supervised-learning, machine-learning-model",
"url": null
} |
We know k=-.0196
So, $-.0196=\frac{-1}{T}ln(2)$
$t=35.36$
We could also do it using the equation.
Half of 1.0091 is .50455. Because 1.0091 is the amount at t=0
So, $.50455=1.0091e^{-.0196t}$
$t=35.36$
Same as before.
To find a regression on Excel, I make the graph, then add a trendline.
Click on Insert, then C... | {
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"lm_q2_score": 0.8902942326713409,
"openwebmath_perplexity": 1201.3480662606455,
"openwebmath_score": 0.6899756789207458,
"ta... |
objective-c, ios, memory-management
Select Product -> Profile (or, ⌘ I)
Choose `Leaks`
Select Profile
Exercise your app (i.e. go through all the options, background it, etc)
For more information on using the leaks tool, you can checkout Ray Wenderlich's Instruments Tutorial for iOS: How to Debug Memory Leaks.
Additio... | {
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"tags": "objective-c, ios, memory-management",
"url": null
} |
programming, qiskit, vqe
molecule = 'H .0 .0 -{0}; Li .0 .0 {0}'
distances = np.arange(0.5,4.25,0.25)
vqe_energies = []
hf_energies = []
exact_energies = []
for i,d in enumerate(distances):
print('step', i)
#set up the experiment
driver = PySCFDriver(molecule.format(d/2), basis='sto3g')
fermionic_trans... | {
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"url": null
} |
Similarily it is true when $x'<0$. For one thing this hyperbola is symettric.
Q.E.D.
• Feb 19th 2006, 11:36 AM
earboth
Quote:
Originally Posted by ThePerfectHacker
Let $x'$ be on $4/x$. For simplicity sake assume,
$x'>0$.
...
Similarily it is true when $x'<0$. For one thing this hyperbola is symettric.
Q.E.D.
Hello... | {
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"lm_q2_score": 0.8376199714402813,
"openwebmath_perplexity": 590.1845187808588,
"openwebmath_score": 0.8952096700668335,
"tag... |
# Can I get a Cholesky decomposition from the inverse of a matrix?
I have the inverse of a giant covariance matrix from which I'd like to draw random instances.
The way I know how to do this is to do a Cholesky decomposition on the covariance matrix and use it to transform a vector of independent Gaussians. So the st... | {
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"lm_q1_score": 0.9637799462157138,
"lm_q1q2_score": 0.8407509026502774,
"lm_q2_score": 0.8723473713594991,
"openwebmath_perplexity": 747.9065985529569,
"openwebmath_score": 0.7065805196762085,
"tag... |
and back The students can visually see the points on the polar axis and compare the point on the rectangular axis. This discussion is critical for you to understand in order to correctly determine the polar coordinates. 1 Illustrating polar coordinates. The graphing worksheets are randomly created and will never repeat... | {
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"id": null,
"lm_label": "1. Yes\n2. Yes",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9843363485313248,
"lm_q1q2_score": 0.8807737999101936,
"lm_q2_score": 0.8947894703109853,
"openwebmath_perplexity": 584.2148996203689,
"openwebmath_score": 0.9085190296173096,
... |
java, linked-list
Compare obj with node.next
If they are equal, then no need to insert, return false
If obj is less than node.next, then break out of the loop
Insert the new node before node.next
Note that at this point, node.next either has a larger value than obj, or it is tail
Setup the links correctly (node -> n... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, linked-list",
"url": null
} |
logic, digital-circuits
Title: Efficient method for generating the smoothing function The smoothing function of a boolean function with respect to one of its variables is the disjunction of its cofactors. For example given a Boolean function F(a,b,c) the cofactors with respect to a are F(0,b,c) and F(1,b,c), the smoot... | {
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"id": 13799,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "logic, digital-circuits",
"url": null
} |
javascript, promise, geospatial, google-maps
//This is used for cases when very little info is returned or a number region eg. '3'
if (region == 'Unknown' && details.length > 1 && !invalidAreaType) {
region = details[Math.floor(details.length / 2)].long_name;
reg... | {
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"openwebmath_score": null,
"tags": "javascript, promise, geospatial, google-maps",
"url": null
} |
python
Original Media Information
==========================
Media: Downloaded
Source: Audible
Condition: New
File Information
================
Number of MP3s: 42
Total Duration: 11:33:05
Total MP3 Size: 319.23 MB
Encoded At: 64 ... | {
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c++, object-oriented, reinventing-the-wheel
The compiler will then change out T for whatever type the arguments are when you call it. If you call it like this:
Complex x(2, 5);
Complex y(3, 6);
Complex z = somma(x, y);
it will do what your function currently does. If x, y, and z are float or double, then it will use ... | {
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"url": null
} |
Alternatively, the probability that at least one fails $=1-$ the probability that all succeed $$=1-\left(1-\frac1{10}\right)^6$$
• does that imply $P(All\ fails)=P(at\ least\ one\ fails)?$ because from the equation $P(all\ fail)=1-P(all\ succeed)$ is my analogy right?
– Jon
Mar 24, 2013 at 16:51
• @Jon, $P(A)+P(\bar A... | {
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"tag... |
So, we see that $c=0$ and $d=1$.
Step 2 Determine which is the $\mbox{right curve}$ and which is the $\mbox{left curve}$.
If we were to draw a line which is parallel to the x-axis we would see that the curve $y=x^2$ would intersct this line to the left of where $y=2x-1$ would intersect said line. Therefore $\mbox{rig... | {
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"lm_q1_score": 0.969785412932606,
"lm_q1q2_score": 0.8060304018452372,
"lm_q2_score": 0.831143045767024,
"openwebmath_perplexity": 489.1754210619172,
"openwebmath_score": 0.8063675761222839,
"tags"... |
c++, multithreading, callback
Title: Class that provides callback execution at a specified rate Here is a class I wrote to provide a user a way to have a callback function executed at some defined frequency:
Task.hpp
#pragma once
#include <memory>
#include <functional>
class Task
{
public:
Task(const double& _he... | {
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"openwebmath_score": null,
"tags": "c++, multithreading, callback",
"url": null
} |
keras, kernel
filters: Integer, the dimensionality of the output space (i.e. the number of output filters in the convolution).
Why is it possible to indicate the number of features maps (results of the scalar product between the kernel and the input), since we specify the kernel's size and the input?
Indeed, if we kn... | {
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"tags": "keras, kernel",
"url": null
} |
c#, lambda, callback, mediator
Title: Callback notation in a Mediator I'm implementing a Mediator and I'd like to simplify the callback notation a bit.
My mediator has Register and Notify methods :
public class Mediator {
private Dictionary<Messages, Action<object>> registeredCallback;
public void Register(Me... | {
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"openwebmath_score": null,
"tags": "c#, lambda, callback, mediator",
"url": null
} |
fluid-dynamics, navier-stokes
$\partial_t{u} =\frac{-1}{2}s_xe^{-\frac{1}{2}(|y|+|z|+|t|)}$; $\partial_t{v} =\frac{-1}{2}c_xe^{-\frac{1}{2}(|y|+|z|+|t|)}$; $\partial_t{w} =\frac{-1}{2}c_xe^{-\frac{1}{2}(|y|+|z|+|t|)}$ | {
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"openwebmath_score": null,
"tags": "fluid-dynamics, navier-stokes",
"url": null
} |
navigation, gps, robot-localization, gmapping
use_control: false
process_noise_covariance: [1e-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 1e-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
... | {
"domain": "robotics.stackexchange",
"id": 28559,
"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": "navigation, gps, robot-localization, gmapping",
"url": null
} |
filled Landau levels of composite fermions evaluated at the corresponding reduced. The theorem on the proper and improper limit of a composition of real functions at a point, at infinity and one-side limits at a point are presented. Adobe bricks were made using a composite of mud and straw. 1 $\begingroup$ Consider the... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9766692298333416,
"lm_q1q2_score": 0.8262059506261153,
"lm_q2_score": 0.845942439250491,
"openwebmath_perplexity": 942.2722274800725,
"openwebmath_score": 0.6726654767990112,
"tag... |
c++, recursion, lambda, boost, c++20
*** 1 failure is detected in the test module "tests_for_recursive_transform"
$
Okay, but you have a unique situation in which you want to test containers recursively. Unsurprisingly, Boost.Test doesn’t come with that functionality built it. So you’re going to have to roll your ow... | {
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"tags": "c++, recursion, lambda, boost, c++20",
"url": null
} |
sql, stackexchange, t-sql
SELECT ISNULL(a.WeekOf,b.WeekOf) As WeekOf
, a.AnswerCount, b.QuestionCount
FROM (
SELECT WeekOf, Count(UserId) AnswerCount
FROM FirstAnswers
GROUP BY WeekOf
) a
FULL OUTER JOIN (
SELECT WeekOf, Count(UserId) QuestionCount
FROM FirstQuestions
GROUP BY WeekOf
)b
ON a.WeekOf = b.... | {
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"id": 14859,
"lm_label": null,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "sql, stackexchange, t-sql",
"url": null
} |
python, python-3.x
My Program:
outFile = open("output.count.txt", "w+")
#windows platform add the r
os.chdir(r"Susceptible\featurecounts")
#open the output file to be able to write output.
outFile.write("FileName\tTotal\tSecondary\tSupplementary\tduplicates\tmapped\tpaired in sequencing\tread1\t"
"read2\tproperl... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, python-3.x",
"url": null
} |
c++, beginner, vigenere-cipher
// ...
std::ifstream dictionary(DICTPATH);
if (process == "-e") { /* ... */ }
if (process == "-d") { /* ... */ }
if (process == "-dicf") { /* ... */ }
if (process == "-dic") { /* ... */ }
The blocks that process can branch to are exclusive from each other. To enfor... | {
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"id": 23134,
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"lm_name": null,
"lm_q1_score": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c++, beginner, vigenere-cipher",
"url": null
} |
geology, mineralogy
There is an adage amongst some geologists that states "gold is where you find it". There is no altitude preferable for finding gold deposits. It's found in mountains, in deserts, in forests, under salt lakes, even dissolved in the oceans. The oceans contain the largest quantities of gold, but it is... | {
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"id": 1134,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "geology, mineralogy",
"url": null
} |
This is quite complicated, even though we made life a little easier by counting the face pieces last; they are hardest to count directly, so we counted the other pieces first and took the remainder to be face pieces.
For a cube with side length $n$, the surface area is $6n^2$ and the volume is $n^3$. So the probabilit... | {
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"lm_q1_score": 0.9830850862376967,
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"lm_q2_score": 0.8267118026095991,
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"openwebmath_score": 0.7846089005470276,
"tags":... |
public-databases, identifiers, ucsc
| NR_107062.1 | uc031tlm.1 | 102465909 | chr1 | - | 17368 | 17436 | 17436 | 17436 | 1 | 17368, | 17436, | 0 | MIR6859-2 |
| NR_107063.1 | uc032cta.1 | 102465910 | chr1 | - | 17368 | 17436 | 17436 | 17436 | 1 | 17... | {
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"openwebmath_score": null,
"tags": "public-databases, identifiers, ucsc",
"url": null
} |
continuum-mechanics, stress-strain
Title: Cauchy's Postulate
According to the Cauchy Postulate, the stress vector (T)^(n) remains unchanged for all surfaces passing through the point P and having the same normal vector n at P i.e., having a common tangent at P. This means that the stress vector is a function of the n... | {
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"tags": "continuum-mechanics, stress-strain",
"url": null
} |
python, python-3.x, generator
coeffs = self.coeffs[depth:]
coeff = coeffs[0]
n = len(coeffs)
# We have a certain total that we need to reduce to zero
# If the current total plus the potential upper and lower bounds does
# not produce an interval that covers zero, reject this ca... | {
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"openwebmath_score": null,
"tags": "python, python-3.x, generator",
"url": null
} |
I can't give an explanation why there are no more than $$2^n$$ possibilities in the first case and more than $$2^3$$ in the second. It definitely follows from the fact that Jordan normal form is unique in (a) and isn't unique in (b) because of an eigenvalue with algebraic multiplicity $$2$$, however, I can't formulate ... | {
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"lm_q1_score": 0.9658995723244553,
"lm_q1q2_score": 0.8491674806309767,
"lm_q2_score": 0.8791467611766711,
"openwebmath_perplexity": 77.91129184532826,
"openwebmath_score": 0.9767280220985413,
"tag... |
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