text stringlengths 1 1.11k | source dict |
|---|---|
algorithms, arrays, correctness-proof
where A[0:n-1] is array and max is the function to return maximum of its two arguments.
What I am doing:
Base case: i=0, ans= max(-infinity,A[0])=A[0], as only one element has been processsed, it is maximum.
Induction Hypothesis: i=k<n-1, assume the algorithm correctly find maximu... | {
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"tags": "algorithms, arrays, correctness-proof",
"url": null
} |
formal-languages, regular-languages, context-free, formal-grammars, pushdown-automata
Title: Prove/Refute that $L=\{w\$x^R \ |\ x\ is\ a\ substring\ of\ w\}$ is a regular language I was solving some exercises about CFL from past years' homework and faced this question.
Question: Given the language $L=\{w \# x^R \ | \ ... | {
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"tags": "formal-languages, regular-languages, context-free, formal-grammars, pushdown-automata",... |
stim, error-correction
Once you have a circuit with rewritten detectors and observables, you can decode it like you would any other circuit. Use stim m2d or stim.Circuit.compile_m2d_converter to convert the measurement data into detection event data and observable flip data. Don't forget to give the sweep data that te... | {
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"tags": "stim, error-correction",
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} |
• Thanks, @Alex Kruckman. I modified the question to highlight your observation. In addition, I modified your answer, changing "Zălinescu's theorem" to "Ursescu's theorem", as suggested by [Zălinescu 2002]. Hope this fine with you. Thanks again. – Nuno Nov 15 '20 at 3:12
Here is my attempt to prove it. It is inspired ... | {
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"openwebmath_score": 0.9719763398170471,
"tags... |
quantum-mechanics, operators, wavefunction, vectors, quantum-states
$$
i.e. the set of vectors that are eigenvectors of the $\hat X$ operator.
See, when you wrote
$$
\langle x | \hat X | \psi \rangle = x \psi(x)
$$
you can think of it like this
$$
\langle x | \hat X | \psi \rangle =
\left( \langle x | \hat X \right) \... | {
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"tags": "quantum-mechanics, operators, wavefunction, vectors, quantum-states",
"url": nul... |
java, performance, json, sql-server, csv
SQL Server 2016?
If you are using SQL Server 2016, it looks like you may also rely on it to convert your JSON data to rows and columns... again, per disclaimer above, this depends on how its structure changes over time.
Optimizing bottlenecks
Last but not least, have you alread... | {
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"tags": "java, performance, json, sql-server, csv",
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c++, beginner, windows, library
void PlusPlus() {
int a = 0;
while (true) {
if (a > res.length()) {
res += pzc;
break;
}
else if (res[a] == pnc) {
res[a] = pzc;
a++;
... | {
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"tags": "c++, beginner, windows, library",
"url": null
} |
cc.complexity-theory, complexity-classes, circuit-complexity, oracles, relativization
Title: Ruzzo-Simon-Tompa oracle access mechanism In a paper on relativizing logspace computations, Ladner and Lynch construct an oracle relative to which $\mathsf{NL} \nsubseteq \mathsf{P}$. There are some
more pathological examples ... | {
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"tags": "cc.complexity-theory, complexity-classes, circuit-complexity, oracles, relativizat... |
free to slide over a frictionless horizontal surface. 2 m = 75 N/m. An underdamped system will eventually damp out, but will require oscillation of the system over a relatively long period of time. won't repeat it in depth here. The image below shows the amplitude of the displacement u vs. [sociallocker] [/sociallocker... | {
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"openwebmath_score": 0.6562756896018982,
"tag... |
$$\{x\in\mathbb{R}^{n} : \|x\|_{p} \leq 1\} \subset \mathbb{R}^{n}.$$
Clealry, the above set is centered at the origin. For the definition of vector $p$-norm, see Lec. 3, p. 5 .
The following plot shows the two dimensional $p$-norm balls for $p\in\{0.5,1,1.5,2,3.5,\infty\}$ (from left to right, top to bottom).
Use y... | {
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"openwebmath_perplexity": 1190.845773195404,
"openwebmath_score": 0.9607855677604675,
"tags": n... |
Consider the coefficient of $x^n$ in $(1+x)^{2n}$. We have $$(1+x)^{2n}=\sum_{k=0}^{2n}\binom{2n}{k}x^k=(1+x)^n(1+x)^n= \Big(\sum_{k=0}^{n}\binom{n}{k}x^k\Big)\Big(\sum_{k=0}^{n}\binom{n}{k}x^{n-k}\Big).$$ The coefficient of $x^n$ is equal to $\binom{2n}{n}$ in the left hand side.
The coefficient of $x^n$ is equal to ... | {
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"lm_q2_score": 0.8438951104066293,
"openwebmath_perplexity": 223.20243795244704,
"openwebmath_score": 0.8502383828163147,
"tag... |
deep-neural-networks
Title: Unable to 'learn' a rotational angle by parametrising the angle as a neural network layer I'm trying to implement a neural network that can capture the drift in a measured angle as a way of dynamic calibration. i.e, I have a reference system that may change throughout the course of the data... | {
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"tags": "deep-neural-networks",
"url": null
} |
haskell, vigenere-cipher
Note that this also contains a lot potential for future optimizations, e.g. using a sorted Data.Vector in order to have a O(log(N)) lookup instead of O(N). Note that you would not export the CharSet data constructor in this case, only mkCharSet (see previous section).
That being said, the real... | {
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"tags": "haskell, vigenere-cipher",
"url": null
} |
java, design-patterns, scheduled-tasks
Timers and Threads
Every Command passed to solution() will cause the creation of a new Timer() object, with its own timer thread. Each Timer object can schedule multiple tasks. Additionally, all tasks owned by a Timer execute sequentially in the same thread, reducing concurrenc... | {
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Often one sees much handwaving here: rote rules, guesses, etc. But the conceptual background is very simple. Let $$\rm\,S\,$$ be the linear $$\,n$$-shift operator $$\rm\:S\, u_n = u_{n+1}.\,$$ In operator form we have
\begin{align} \rm 0\, &=\,\rm u_{\large n+3} - 3\, u_{\large n+2} + u_{\large n}\\[.2em] &=\,\rm S^{\... | {
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"openwebmath_perplexity": 454.56271249074223,
"openwebmath_score": 0.8634124398231506,
"ta... |
java, database, jdbc
callableStatement.setString(1, String.valueOf(userId));
callableStatement.setString(2, Constants.getaAccount(userId));
callableStatement.setString(3, Constants.getaAdvertising(userId));
callableStatement.setString(4, Constants.getaAvgSellingPriceMainCats(userId));
callableStatement... | {
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"tags": "java, database, jdbc",
"url": null
} |
c++, algorithm, matrix, c++20
template <Scalar T>
Matrix<T> operator*(const Matrix<T>& m, T val) {
Matrix<T> res = m;
res *= val;
return res;
}
template <Scalar T>
Matrix<T> operator*(const MatrixView<T>& m, T val) {
Matrix<T> res = m;
res *= val;
return res;
}
template <Scalar T>
Matrix<T>& ... | {
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"tags": "c++, algorithm, matrix, c++20",
"url": null
} |
javascript, jquery, css, html5, template
(Just to be clear, when I talk about "row", I do not mean the bootstrap class .row)
I have managed to get this working with jquery .clone() / .prepend() / .each() / .prev() / .next() / .insertAfter() / .nextUntil() / .nextAll(), but I cant shake the feeling that it is extremely... | {
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"openwebmath_perplexity": null,
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"tags": "javascript, jquery, css, html5, template",
"url": null
} |
c++, algorithm, sorting, mergesort
while (++i < last && !(*i < *(i-1))); // locate the second run
std::inplace_merge(m_first, m_middle, i); // merge
if (i < last) m_first = i; // next
else m_first = i = first; // start over
}
} | {
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"tags": "c++, algorithm, sorting, mergesort",
"url": null
} |
thermodynamics, everyday-chemistry
Title: Why does hand sanitizer leave your skin feeling cool? I noticed, and perhaps many others have too, that the application of hand sanitizer (mainly ethanol), leaves one's hands feeling rather chilly after application.
What is responsible for this phenomena? Is it the high heat ... | {
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"tags": "thermodynamics, everyday-chemistry",
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What do these numbers have in common?
• Jul 19th 2010, 11:56 AM
wonderboy1953
What do these numbers have in common?
41, 80 and 320?
• Jul 19th 2010, 07:42 PM
Soroban
Um . . . Their binary representations begin with "101" ?
. . $\begin{array}{ccc} 41 &=& 101001_2 \\
80 &=& 1010000_2 \\
320 &=& 101000000_2 \end{array}... | {
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"openwebmath_score": 0.9954432249069214,
"tag... |
c#, .net, datetime
while (month <= monthEnd)
{
// do something ...
month = Month.NextMonth(month);
}
}
public class Month
{
public DateTime StartDate { get; set; }
public DateTime EndDate { get; set; }
public Month(int year, int month)
{
StartDat... | {
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"tags": "c#, .net, datetime",
"url": null
} |
gravity, black-holes, orbital-motion, stars
Title: How does a black hole capture an approaching star and force it to start an elliptical orbit? Let's assume that a standing still black hole attractor can have a star orbiting it in an orbit if the star was somehow a result of the same past proccesses as the black hole.... | {
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"tags": "gravity, black-holes, orbital-motion, stars",
"url": null
} |
(ROI) ROI Formula (Return on Investment) Return on investment (ROI) is a financial ratio used to calculate the benefit an investor will receive in relation to their investment cost. i = [1 + (r/n)] n – 1 . The formula (as provided by Microsoft) to determine yield is: "=YIELD(settlement,maturity,rate,pr,redemption,frequ... | {
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"lm_q1_score": 0.9783846672373524,
"lm_q1q2_score": 0.8021710686278878,
"lm_q2_score": 0.8198933359135361,
"openwebmath_perplexity": 1983.7590579005662,
"openwebmath_score": 0.5975272059440613,
... |
catkin, rostest
I built and installed ownpackage with catkin_make --pkg ownpackage, cd /build/ownpackage and make install.
However if I run the test I get an error because rostest does not know about the existence of owntest:
FAILURE: Test Fixture Nodes ['owntest'] failed to launch
File "/usr/lib/python2.7/unittest/... | {
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"tags": "catkin, rostest",
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} |
whether integrals are defined properly. rectangle is your velocity at that moment times for your change in position for is a velocity function, what does \int _a^b v(t)\d t mean? the more general notation, the way that you might under the curve between a and b. Published by at 26 November, 2020. Students can download a... | {
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"lm_q1_score": 0.9697854103128328,
"lm_q1q2_score": 0.810239746825765,
"lm_q2_score": 0.8354835391516133,
"openwebmath_perplexity": 883.4986824672854,
"openwebmath_score": 0.7846773862838745,
"tags... |
digital-communications, convolution, continuous-signals, impulse-response, proof
Title: How to derive $r(t) = c(t) \circledast \frac{1}{2} h_b(t, \tau)$? Consider a linear time-variant channel. The transmitted signal is $x(t)$, the channel impulse response is $h(t, \tau)$, and the received signal is $y(t)$. Then
$$ y(... | {
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"tags": "digital-communications, convolution, continuous-signals, impulse-response, proof",
"u... |
ros, navigation, move-base, carrot-planner, base-local-planner
Comment by IvanV on 2014-10-14:
Same problem here. Carrot Planner works fine with dwa_local_planner, but I get the same error when trying to use it with base_local_planner.
A) Make sure all your planners are built. B) Try this launch file http://pastebin.... | {
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Another famous pit is if you multiply an equation or greater-relation by a term, which isn't a known number at the time, e.g. something like ##xy+z^2## or similar, and you don't rule out the possibility that it might be zero or negative, then you get wrong results without knowing.
FactChecker
Gold Member
This is in th... | {
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... |
• Two things: 1. No need to apologize, that's what this site is for. 2. For what it's worth, your additional axiom is the one that I would write down as well, and Jech in his 3rd edition of Set Theory, page 79 seems to agree. – t.b. Jul 22 '11 at 16:47
• Do the primitives in your axioms for Boolean algebra include the ... | {
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"openwebmath_score": 0.7737856507301331,
"tag... |
ros, navigation, gyro, amcl
Title: Navigation Stack without Gyro sensor
Is a gyro sensor so important when using nav stack?
I applied nav stack to my robot, which does NOT have a gyro sensor.
I also have a turtlebot and setup it.
Apparently, turtlebot moves better than my robot.
My robot more often stop and rotate in... | {
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"tags": "ros, navigation, gyro, amcl",
"url": null
} |
atomic-radius
Across the period, electrons are added to the same outer level, meaning that shielding by inner electrons does not change, however, the numbers of proton increases. This results in the effective nuclear charge rising significantly (as no. protons increases while added electrons are shielding inefficientl... | {
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"tags": "atomic-radius",
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} |
nomenclature
Title: Why does FeO(OH) have two CAS numbers? Iron(III) oxide-hydroxide, $\ce{FeO(OH)}$ has two CAS numbers, 1310-14-1 and 20344-49-4. What's the difference between them?
Why does it have two CAS numbers? As I know, the CAS number should be unique to each substance.
Wikipedia reference
Why does it have ... | {
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} |
for sufficiently large $n$.
What don’t we know?
Fix an integer-valued sequence $c(n)$ which satisfies a linear recurrence with characteristic polynomial $P(x)$. Let
$S(n) = \left( \sum_{k \geq n} \frac{1}{c(k)} \right)^{-1}.$
The question is what happens to $\mathrm{round}(S(n))$.
1. If the largest root of $P(x)$ ... | {
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"tags": null,... |
approximation to trivariate normal probabilities can be expressed as a special case of (4) by taking h( y) = 1 and f( JJ) as the trivariate normal density function. 5)T=Iq) we get normalized value: z=σ−0. The basic function for generating multivariate normal data is mvrnorm() from the MASS package included in base R, a... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9843363549643401,
"lm_q1q2_score": 0.8093106582622971,
"lm_q2_score": 0.8221891370573388,
"openwebmath_perplexity": 532.9972113997312,
"openwebmath_score": 0.7368945479393005,
"tags"... |
python, performance
choice = chain.from_iterable(choices[i] for i in sequence)
If you do need the list, you can still use this with an explicit conversion:
choice = list(chain.from_iterable(choices[i] for i in sequence))
Note: this fits pretty close to Nobody's suggestion - here chain.from_iterable is flatten and th... | {
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"tags": "python, performance",
"url": null
} |
bioinformatics, sequence-alignment, homology
Title: Do the bacterial species X, Y, Z code for proteins A, B, C? My PI has assigned me a task to gather evidence to determine whether or not a list of particular species of | {
"domain": "biology.stackexchange",
"id": 4556,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "bioinformatics, sequence-alignment, homology",
"url": null
} |
homework-and-exercises, units, unit-conversion, radiometry
The latter two cancel out (a property of Lambertian surfaces), and so the outgoing radiance is dependent on the cosine of the angle between the surface normal and the Sun. This means that the radiance you measure is going to depend on that angle. Let us call t... | {
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"tags": "homework-and-exercises, units, unit-conversion, radiometry",
"url": null
} |
# Finding the sum to n terms of series :$\frac{1}{1\cdot 2\cdot 3\cdot 4} +\frac{1}{2\cdot 3\cdot 4\cdot 5} + \frac{1}{3\cdot 4\cdot 5\cdot 6}+\cdots$
$$\frac{1}{1\cdot 2\cdot 3\cdot 4} +\frac{1}{2\cdot 3\cdot 4\cdot 5} + \frac{1}{3\cdot 4\cdot 5\cdot 6}+\cdots$$ up to $n$ terms. I need help in solving this sum. I tri... | {
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"id": null,
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9859363725435202,
"lm_q1q2_score": 0.8037673566924162,
"lm_q2_score": 0.8152324826183822,
"openwebmath_perplexity": 269.62491063334227,
"openwebmath_score": 0.7775856256484985,
"ta... |
species-identification, entomology, taxonomy
Title: What are these two insects (or at least one of them)? I need to catch and identify insects for my biology project, but I cant identify those two bugs.
Can I get the genus and the species (or it can be just general name of what this type of bug is called?)
They were f... | {
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"openwebmath_score": null,
"tags": "species-identification, entomology, taxonomy",
"url": null
} |
quantum-mechanics, photons, quantum-spin, polarization
Spin is not like this. Spin is purely quantum. If you know $s_z$ you don't know $s_y$ or $s_x$; in fact you cannot know them.
That said, spin and polarization are intimately connected. As an atomic experimentalist, I have to think about this all the time. We send ... | {
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"tags": "quantum-mechanics, photons, quantum-spin, polarization",
"url": null
} |
electromagnetism, notation, differentiation
After this expression, the author points out that the derivative operator does not act on $\mathbf{v}$. Now, does he, by that, just warn me of missing the standard convention in how the derivative symbol acts? or does he mean that he is just deviating from the convention in ... | {
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"tags": "electromagnetism, notation, differentiation",
"url": null
} |
thermodynamics, evaporation, condensation
Title: Liquid nitrogen condensing oxygen out of the air In this video, a pool of liquid nitrogen in a metal bowl can cool it enough so that oxygen from the air condenses at the bottom:
http://www.youtube.com/watch?v=Ojl10zMCYkY&list=PLmyvBUHJ4pVC3FrSXsT_5S7dFMKPLG_pS&index=1 | {
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"tags": "thermodynamics, evaporation, condensation",
"url": null
} |
energy, nuclear-physics, atomic-physics, order-of-magnitude, scales
For an analytical description of the bound states of the nucleus, people use the Harmonic Oscillator potential or the potential well. This approach leads to reasonable results, which help us understand and predict the energy levels. Yet, I do not know... | {
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"tags": "energy, nuclear-physics, atomic-physics, order-of-magnitude, scales",
"url": null... |
ros, rosdep, rgbdslam-freiburg
Title: Trying to install dependencies
Trying to install dependencies for rgbdslam following the instruction on the page:
rosdep install rgbdslam_freiburg
But I keep getting the error saying:
ERROR: Rosdep cannot find all required resources to answer your query
Missing resource XXXXXXX
... | {
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"tags": "ros, rosdep, rgbdslam-freiburg",
"url": null
} |
quantum-mechanics, operators, quantum-information, definition, trace
Title: What is a definition of the trace norm? I have found that (one?) definition of the trace norm is
$$\mid\mid A\mid\mid = \sqrt{A^*A} \tag{1}$$
but now I am reading this paper where (on page 4) it says
In particular,
we will restrict the tr... | {
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"url": nu... |
!(#)=&’(where & and ’ are constants. If the population deaeased at a rate of 1. growth and decay. Exponential growth occurs when k> 0 Exponential decay occurs when k< 0 Exponential Growth and Decay Example: World poultry production was 77. Choose your answers to the questions and click 'Next' to see the next set of que... | {
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"lm_q1_score": 0.9877587268703083,
"lm_q1q2_score": 0.8335647540503551,
"lm_q2_score": 0.8438951045175643,
"openwebmath_perplexity": 1466.0538707893068,
"openwebmath_score": 0.4987727105617523,
"tags"... |
javascript, performance, beginner, php, html
$article_abstract = $wrap_symb . " - " . $comp . ": Equilibrium price is important for " . $wrap_symb . " institutional trading/investing, " . $wrap_symb . " retail trading/investing and other types of short/long positions. They provide supplementary perspectives to traders... | {
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"tags": "javascript, performance, beginner, php, html",
"url": null
} |
ros, messages, publisher
Originally posted by daniel_ctae with karma: 16 on 2011-06-07
This answer was ACCEPTED on the original site
Post score: 2 | {
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python, signal-processing
As written the algorithm converges (I get the following plot of the error vector): Exceptions
You don't need the sys.exc_info call since pdb.post_mortem without argument uses the exception being currently handled. You don't need pdb either since it serves for development purposes and, at this... | {
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"tags": "python, signal-processing",
"url": null
} |
biochemistry, proteins
supports. Experimental results and theoretical analysis reveal that
the stabilization results from the curvature of SWNTs, which
suppresses unfavorable protein-protein lateral interactions. Our
results also indicate that the phenomenon is not unique to SWNTs but
could be extended to othe... | {
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"id": 3023,
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"openwebmath_score": null,
"tags": "biochemistry, proteins",
"url": null
} |
reference-request, median-filter
Title: Forward/reverse median filter. Reference needed I am using the double median filtering of my data. For this, I perform median filtering of the signal in forward direction, then in reverse direction (from end to start). Results are averaged. Example of the MATLAB code:
Signal=rnd... | {
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"tags": "reference-request, median-filter",
"url": null
} |
newtonian-mechanics, kinematics, velocity, projectile
There is a linear increase in velocity from 0 to at (constant acceleration), so the average velocity during this time is 0.5at and therefore the distance travelled in time t is:
s = 0.5at*t
This gives us a t squared term, which would give us a v squared term if we ... | {
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"tags": "newtonian-mechanics, kinematics, velocity, projectile",
"url": null
} |
quantum-mechanics, differential-geometry, potential
The idea, if this is possible, is to turn physical problems into geometrical problems, for example solving the Schroedinger equation would be equivalent to solve a Dirichlet problem for some Laplacian. Unfortunately, this is not a good idea. The Beltrami-Laplacian $\... | {
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"tags": "quantum-mechanics, differential-geometry, potential",
"url": null
} |
There are $$n!$$ arrangements of $$n$$ people in a row. From these, we must subtract those arrangements in which two or more of the four people are adjacent.
A pair of the four people are adjacent: There are $$\binom{4}{2}$$ ways to select two of the four people to be in the pair. We then have $$n - 1$$ objects to arr... | {
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"lm_q1_score": 0.9896718477853187,
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"openwebmath_perplexity": 75.34544999322875,
"openwebmath_score": 0.8510165214538574,
"tags":... |
c++, io, c++17, converting
If creating the string is more to the point than writing to the file, you can use a stringstream and do the same thing:
#include <sstream>
std::string hexify(std::vector<unsigned char> const & v)
{
std::stringstream ss;
for(auto c : v)
{
ss << std::hex << (int)c;
}
... | {
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"tags": "c++, io, c++17, converting",
"url": null
} |
moulding machines, rock n roll machine, Biaxial machine for water storage tank, Shuttle machine for water storage tank, Pulverizer for PVC Pipe, Rotomoulding machine for plastic water tank, Fixed oven rotomoulding machine, 3 ARM Bi. 1 Review: Rotational Dynamics Review Pt. If one was to spin a basketball on the tip of ... | {
"domain": "ac-immacolata.it",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9648551556203814,
"lm_q1q2_score": 0.8102216422533263,
"lm_q2_score": 0.8397339616560072,
"openwebmath_perplexity": 1507.9404399834234,
"openwebmath_score": 0.4129481315612793,
"tag... |
observational-astronomy, telescope, telescope-lens
The field of view is the portion of the sky that you see in your eyepiece, measured in degrees.
A human can typically have a field of view of 200° with two eyes. If you had eyes in the back of your head, your field of view would be 360°.
The two objects in the top s... | {
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"tags": "observational-astronomy, telescope, telescope-lens",
"url": null
} |
javascript, dom
JS
//window.addEventListener('load',function(){
var imgs = document.getElementsByTagName('img');
var numOfImgs = imgs.length; // 4
var widthOfImg = 300; //imgs[0].getBoundingClientRect().width; // 300
var prevBtn = document.getElementById('prev');
var nextBtn = document.getElementById('next');
var ... | {
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"url": null
} |
ros
###########
## Build ##
###########
## Specify additional locations of header files
## Your package locations should be listed before other locations
include_directories(
# include
${catkin_INCLUDE_DIRS}
)
## Declare a C++ library
# add_library(${PROJECT_NAME}
# src/${PROJECT_NAME}/beginner_tutorials.cpp
# )... | {
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vba, rubberduck
The project uses Rubberduck SecureADODB - https://github.com/rubberduck-vba/examples/tree/master/SecureADODB
SecureDatabase class, Implements IDataAccessObject:
'@Folder "ProjectWriter.DataAccessObject"
Option Explicit
Implements IDataAccessObject
Private Type TSecureDatabase
SecureConnetion As I... | {
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} |
time-complexity, binary-trees, hash-tables
}
else
{
IBM.push_back(b); // Current item was put in new bin
list<int> tmp; // Helping temporary list
tmp.push_back(n);
BIM.push_back(tmp); // The new bin contains the current item
RBS.push_back(1... | {
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"url": null
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Show that, once again, this is an even competition - my chance of getting the bull's eye first is 1/2.
17. Jan 10, 2013
### CAF123
Re: Probability
Are you stuck? If so, just use exactly the same method as you used to solve the first one. Alternatively, say you win on your $i$th shot. This means you (or Kim) cannot ... | {
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special-relativity
Observed by someone who is herself isolated from the rest of the external universe. | {
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"tags": "special-relativity",
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vision, human-eye, light
And here's a mixture of 60%† white with 40% blue (in HTML notation #cacaff):
To me, if I haven't stared at shades of truly violet a few moments ago, this mixture seems to have a considerable amount of violet — more than I'd expect looking at the primary blue. Naturally, shorter wavelength lig... | {
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so
$0.64=N_0(\frac{1}{2})^{12/4}$
What's eight times 0.64?
4. Thank you so much! But where does the eight come from?
5. Originally Posted by risteek
Thank you so much! But where does the eight come from?
\begin{aligned}
0.64 &= N_0(\frac{1}{2})^{12/4} \\
0.64 &= N_0(\frac{1}{2})^3 \\
0.64 &= N_0(\frac{1}{8}) \\
8(0... | {
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"openwebmath_score": 0.9957472085952759,
"... |
We need step 3 in order to conclude that $Q$ is divisible by at least one prime of the form $4k+3$ (prime divisors of the form $4k+1$ can appear, but the important thing is that at least one prime of the other form appear). | {
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ros2
As an open source project there are a lot of projects and users that are not public about their usage. As such not observing a publicly announced user of a specific case does not mean it's not there. There is also usually a significant lag between a release and deployment to production. As you know you're doing e... | {
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Let's fix the rational numbers. Right? That's just one set now. Given any other set which is disjoint from $$\Bbb Q$$, consider the transcendental extension $$\Bbb Q(A)$$, as a field. This alone shows that every set can be embedded into a field. And easy cardinality check will show that $$|A|=|\Bbb Q(A)|$$ whenever $$A... | {
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"openwebmath_score": 0.822873055934906,
"tags... |
electromagnetism, electric-circuits, magnetic-fields, induction
Consider a specific example where the two systems are symmetric except one has a larger resistance, so $L_1=L_2$ and $I_1(0)=I_2(0)$, but $R_2 = 2 R_1$. Then the only control parameter to play with is $M$, the mutual inductance, which describes the coupli... | {
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} |
us to know whether a series is homogeneous (where all the observations remains around the central value) or the observations is heterogeneous (there will be variations in the observations around the central value like 1, 50, 20, 28 etc., where the central value is 33). Find the median. Smallest value S = 18. $$\mu =\cf... | {
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"lm_q1_score": 0.9752018354801189,
"lm_q1q2_score": 0.8327372803928623,
"lm_q2_score": 0.8539127492339909,
"openwebmath_perplexity": 659.9377973614301,
"openwebmath_score": 0.83931154012680... |
[…]. Mathematical Olympiad Challenges Titu Andreescu Razvan Gelca. Scribd is the world's largest social reading and publishing site. 2 Look for symmetry Problem 2. Andreesan Mathematical Olympiad Challenges R. Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): ... | {
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"openwebmath_score": 0.18209436535835266,
... |
python, python-3.x, object-oriented, iterator, interval
remove the check because iterators can be empty and that is okay;
fix minor spacing issues around operators, etc;
use augmented assignment to increment;
change order of statements in __next__ to be more idiomatic.
All in all, MyRange would end up looking like th... | {
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"openwebmath_score": null,
"tags": "python, python-3.x, object-oriented, iterator, interval",
"url": null
} |
homework-and-exercises, newtonian-mechanics
$$ m_1 (\vec a_1)_x = |\vec F| - |\vec U_{21}|~\sin\theta,$$where $\theta$ is the angle of inclination of the wedge $M$.
What about the other wedge? It has the equation: $$m_2 ~\vec a_2 = m_2 \vec g + \vec U_{12},$$ and we might actually really care how it moves up/down in s... | {
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"tags": "homework-and-exercises, newtonian-mechanics",
"url": null
} |
Evaluating sequences
Sum of arithmetic series
Solve this Calculate 1 2 + 2 2 + 3 2 + 4 2 + … + n 2 [Answer n.(n+1).(2n+1) / 6] 1 + 2 + 3 + … + n = ? [Answer: n.(n+1) / 2] why?
Can you evaluate this? Here is the trick. Note that Does it help?
Double Summation
Sum of geometric series
Sum of infinite geometric serie... | {
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"openwebmath_perplexity": 890.6805955667779,
"openwebmath_score": 0.8383585810661316,
"t... |
ros, octomap, pointcloud, octomap-server, clock
#Clock Publisher
self.clock_pub.publish(msg_header.stamp)
Here is my launch file for the octomap_server (credits to goetz.mark):
<!--
firing up the octomap server to generate 2D/3D occupancy maps
-->
<launch>
<node pkg="octomap_server" type="octomap_server_node" name... | {
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"tags": "ros, octomap, pointcloud, octomap-server, clock",
"url": null
} |
ros
File "/opt/ros/hydro/lib/python2.7/dist-packages/xacro/init.py", line 476, in eval_text
results.append(handle_extension(lex.next()[1][2:-1]))
File "/opt/ros/hydro/lib/python2.7/dist-packages/xacro/init.py", line 464, in handle_extension
return eval_extension("$(%s)" % s)
File "/opt/ros/
Comment by acp on 2014-07-2... | {
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"openwebmath_score": null,
"tags": "ros",
"url": null
} |
haskell
Code Execution
Code execution generally works by reading input instructions, executing the associated operations and then advancing the instruction pointer to after the last argument, unless the operation alters the instruction pointer itself.
Operations
All operations share the same signature, Arguments -> St... | {
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"openwebmath_score": null,
"tags": "haskell",
"url": null
} |
a condition, How does one maintain voice integrity when longer and shorter notes of the same pitch occur in two voices, How to \futurelet the token after a space. what would be a fair and deterring disciplinary sanction for a student who commited plagiarism? Momentum is a vector: It has a direction as well as a magnitu... | {
"domain": "migfkul.com",
"id": null,
"lm_label": "1. Yes\n2. Yes",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9728307684643189,
"lm_q1q2_score": 0.8042506636940915,
"lm_q2_score": 0.8267117876664789,
"openwebmath_perplexity": 624.540002964023,
"openwebmath_score": 0.620303750038147,
"tags": null... |
c#, linq, expression-trees, entity-framework-core, linq-expressions
private static Expression ReplaceProvider(Expression query, DbSet<TEntity> set, IQueryProvider provider)
{
var setQuery = provider is IAsyncQueryProvider asyncProvider ?
new QueryRootExpression(asyncProvider, se... | {
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"tags": "c#, linq, expression-trees, entity-framework-core, linq-expressions",
"url": ... |
c#, winforms
public class myClass
{
private static OleDbConnection myConn = new OleDbConnection();
private static DataSet myDS;
private static DataRow myDR;
public static int MaxRows = 0;
public static int increment = 0;
public static string name; | {
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"tags": "c#, winforms",
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} |
performance, beginner, haskell, functional-programming, programming-challenge
aN a1 d n = a1 + (n - 1) * d -- Calculating the value of the Nth term
pSum 0 d lim = pSum d d lim -- a1 == 0 produces invalid pSum() result
pSum a1 d lim =
let n1 = (lim `div` d) -- Using simplified method for... | {
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"openwebmath_score": null,
"tags": "performance, beginner, haskell, functional-programming, programming-challenge",
... |
data-mining, data-analysis
Once you have fit everything into a data frame, you can use any two-class supervised classification algorithm to build your model. There is no "best" model in general, but try a few to see which one works the best with your data.
Sorry for posting as an answer; comment doesn't allow preforma... | {
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"openwebmath_score": null,
"tags": "data-mining, data-analysis",
"url": null
} |
c#, api, http, wcf, ssis
Title: This brittle OData to SQL Server C# code isn't sustainable over time The intent of this code is to access a third party OData API to capture only the relevant data to an existing in-house set of MSSQL server tables. Ignore the exception handling for now--the errors will get written to a... | {
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"openwebmath_score": null,
"tags": "c#, api, http, wcf, ssis",
"url": null
} |
ros, python, transformations, quaternion
Title: Error assigning a python quaternion
Hi,
I have tried to setup navigation stack to work with the robot from USARSim the same way as in tutorials, but when I start robot_configuration.launch and move_base.launch I get this error related to odometry:
Traceback (most recent... | {
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"tags": "ros, python, transformations, quaternion",
"url": null
} |
one missing. Problem 1. In the above expression, k = 0 n denotes the sum of all the terms starting at k = 0 until k = n. Note that x and y can be interchanged here so the binomial theorem can also be written a. The Binomial Theorem. Just giving you the introduction to Binomial Theorem . Use these printable math workshe... | {
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"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9632305318133553,
"lm_q1q2_score": 0.8005823600015395,
"lm_q2_score": 0.8311430478583168,
"openwebmath_perplexity": 593.3967928978907,
"openwebmath_score": 0.7726367712020874,
"... |
java, bitwise
...
if (negate) {
return -result;
} else {
return result;
}
However, this fails for INT_MIN since -INT_MIN == INT_MIN!
What to do? It seems like one could flip into the negatives instead, and flip all of the comparisons. I don't think this would work, though, since
a = INT_MIN
b = INT_MIN + 1
... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, bitwise",
"url": null
} |
ros, navigation, mapping, rviz, transform
in yet another terminal, run rviz, set the Global Fixed Frame to either map, odom, or base_link, then add a laser scan with topic /scan, I can see a live scan or the room. When I add a map visualizer and set the topic to /map, the status is OK but the scan isnt shown on the sc... | {
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"id": 24839,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros, navigation, mapping, rviz, transform",
"url": null
} |
javascript, ecmascript-6, typescript, lodash.js
Passing the value null or undefined through String will not cause an error but it will produce the string "null" or "undefined" respectively. You can filter those out, if you don't want them
let objectsWithNumericValues = [{year: 2018}, {year: 2019}, {year: 2019}, {year... | {
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"url": null
} |
ros
Originally posted by dcconner on ROS Answers with karma: 476 on 2016-04-02
Post score: 0
Original comments
Comment by tfoote on 2016-04-03:
Can you write a minimal script which demonstrates this behavior. You have not clarified what cv2 exactly is. And point to the documentation from which you believe that cv2.DI... | {
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} |
energy, rotational-kinematics
$$=\frac{1}{2}\left( mR^2 + I \right) \left( \frac{v_{cm}}{R} \right)^2 + \frac{1}{2}I \omega_s^2$$
$$ = \frac{1}{2} I_{orb} \omega_{orb}^2 + \frac{1}{2} I_s \omega_s^2$$
So the solution in the first pic is correct. | {
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"tags": "energy, rotational-kinematics",
"url": null
} |
mobile-robot, control, gazebo, ros2, differential-drive
Title: ros2_control: No parameter file provided. Configuration might be wrong. failed to parse input yaml file(s) I am trying to build a 4 wheel differential drive robot. But i am getting error when using ros2_control.
Version: Ros2 Foxy
Terminal Output
[INFO] [l... | {
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"tags": "mobile-robot, control, gazebo, ros2, differential-drive",
"url": null
} |
java, android, xml, static
Toast.makeText(getActivity(), "This is an example!", Toast.LENGTH_LONG).show();
OK, OK, I know it's an example, but still... you have a res/values/strings.xml already with some additional strings, it would be preferred to use a string resource here as well.
Again, overall it's very neat an... | {
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"tags": "java, android, xml, static",
"url": null
} |
For $$\alpha \in [0,1]$$, we may easy see that: $$C_{\alpha} = \bigcap_{n} [\alpha C^n + \beta C^n]$$ Where $$\beta = (1 - \alpha)$$. Set $$X^n := \alpha C^n + \beta C^n$$. What does $$X^n$$ look like as we vary $$\alpha$$?
When $$\alpha \in \{0,1\}$$, we get that $$X^n = C^n$$, and we recover that $$C_0 = C_1 = C$$.
... | {
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"lm_q1_score": 0.986571747626947,
"lm_q1q2_score": 0.8976885415095459,
"lm_q2_score": 0.9099070023734244,
"openwebmath_perplexity": 146.98010200419125,
"openwebmath_score": 0.9852447509765625,
"tag... |
[EDIT]
If we don't need to start and end at the same node, it's sufficient to have an Euler trail instead of a circuit, needing one less edge: $$28-1=27$$ edges (only 3 edge segments, namely, EI, ON and HL are needed to be traversed twice, leading to minimum length of the line as $$24+3=27$$).
In this case the trail ... | {
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"lm_q1_score": 0.9719924810166349,
"lm_q1q2_score": 0.8512583692783731,
"lm_q2_score": 0.8757869900269366,
"openwebmath_perplexity": 156.2124636069343,
"openwebmath_score": 0.6174324750900269,
"tag... |
organic-chemistry, acid-base, aromatic-compounds, amines, phenols
Phenethylammonium ion has a pK$_a$ = 9.73. Putting another CH$_2$ group between phenyl and nitrogen reduces K$_a$ by a factor of 2.5. This indicates that a benzyl group is less electron-donating than a methyl or ethyl group, in agreement with the compar... | {
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"tags": "organic-chemistry, acid-base, aromatic-compounds, amines, phenols",
"url": nul... |
matlab, algorithm, theory
You will need to model the haptic interface as a non-passive system. A mass+damper with a negative coefficient would be the minimum model. They mention an active friction compensation algorithm which would behave like this to some degree.
So you would have the human (mass+spring), the device... | {
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "matlab, algorithm, theory",
"url": null
} |
electromagnetism, black-holes
is somewhat incorrect. Matter entering black hole would encounter such "extreme forces" only after it crosses horizon, while before that the effects of gravity would not be that extreme. In fact, the larger the black hole, the less severe conditions at the horizon crossing would be. Moreo... | {
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"tags": "electromagnetism, black-holes",
"url": null
} |
Since $$\tan(x)$$ is not defined at $$\frac{\pi}{2}+k \pi$$, you are looking for the solution between two consecutive such numbers.
On any such interval, $$\sec(x)$$ does not change signs.
Therefore, for every $$x$$ your solution is $$y(x)= \pm C' \sec(x)$$ where the choice of $$\pm$$ could depend on $$x$$. But since... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9817357211137666,
"lm_q1q2_score": 0.8284819612692542,
"lm_q2_score": 0.8438950966654774,
"openwebmath_perplexity": 166.18140939239777,
"openwebmath_score": 0.9180091023445129,
"ta... |
javascript
// Changes the background color of the current month cell if it is a weekend.
const change_background_color_if_weekend = (row_number) => {
const table = document.getElementById("days");
if (table.rows[row_number].cells[6].classList == "td") {
table.rows[row_number].cells[6].style.color = "lightsalmo... | {
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"openwebmath_score": null,
"tags": "javascript",
"url": null
} |
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