text stringlengths 1 1.11k | source dict |
|---|---|
electromagnetism, potential-energy
(b) If you want to interpret what the book is saying physically, then the correct energy superposition you should do is with three sources, not two:
\begin{eqnarray}
{\rm Potential\ Energy} &=& {\rm Energy\ of\ Charge\ 1} + {\rm Energy\ of\ Charge\ 2} + {\rm Vacuum\ Energy} \\
E_p &=... | {
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mechanical-engineering, fluid-mechanics, propulsion, marine-engineering
Edit
After some comments I added a bit more detail:
The OP's sketch has 6 nodes or bends that we calculate. Note we analyse the sketch as it is, not introducing any changes or recommendations.
The entrance and exit momentums and thrusts have been ... | {
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"tags": "mechanical-engineering, fluid-mechanics, propulsion, marine-engineering",
"ur... |
general-relativity, spacetime, time-dilation
If I move away from the gravitational effects of Earth, and am able to observe Earth spin away from me, the same theory would hold for a clock sitting on Earth versus the clock in my hand. But if I move away from every possible cause of motion (galaxies moving from expansio... | {
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"tags": "general-relativity, spacetime, time-dilation",
"url": null
} |
graphs, data-structures, trees, graph-traversal, dag
Title: What is the name of a rooted tree whose nodes may have edges to their descendants? A tree is a special kind a graph.
However, I came across a data structure which is a like a rooted tree, but where nodes are authorized to have direct links to any of their des... | {
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"tags": "graphs, data-structures, trees, graph-traversal, dag",
"url": null
} |
c++, macros
template <class T>
always_true<T> make_true(T&& what, std::true_type) {
static_assert(std::is_move_constructible<T>::value, "this is a bug");
return always_true<T>{std::forward<T>(what)};
}
The static_assertion in the second overload is of course only paranoia and could be omitted.
Second, select ... | {
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"url": null
} |
homework-and-exercises, special-relativity, time-dilation, lorentz-symmetry
Setting the two equations above equation to each other and solving, we obtain:
$$
\Delta t = \Delta t_0\sqrt{1-u^2/c^2} = \frac{2L_0}{c} \frac{1}{1-u^2/c^2} \rightarrow L = L_0 \sqrt{1-u^2/c^2}
$$
without any appearance of $L$ in the above ... | {
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"tags": "homework-and-exercises, special-relativity, time-dilation, lorentz-symmetry",
"u... |
ros, ros-melodic, rosdep-install
Title: Installing rosdep performance improvements
I'm using docker run.sh cmd run build ros ci packages.
On docker file I have
RUN rosdep init
RUN rosdep fix-permissions
On entry point run
rosdep update
On cmd run.sh I run
rosdep install --from-paths src --ignore-src -r -y
The ... | {
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"tags": "ros, ros-melodic, rosdep-install",
"url": null
} |
newtonian-mechanics, kinematics, acceleration, vectors
Equations for the block
With respect to the wedge, the block moves along the surface of the wedge and wedge itself is at rest in equilibrium. Therefore, the equation of motions are simply:
$$mg\sin\theta+ma\cos\theta=mb \tag{2}$$
$$mg\cos\theta-ma\sin\theta=N \ta... | {
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"tags": "newtonian-mechanics, kinematics, acceleration, vectors",
"url": null
} |
electrostatics, energy, work, capacitance, conductors
Title: Capacitor and energy I have I capacitor, with $+Q$ on the bottom plate, on $-Q$ on the top plate. A student move the top plate by $dx$ along the $x$ axis. My course states that :
$$d(E_{\text{kin}}+E_p+E_e)=\delta W_o + \delta W_e$$ | {
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"tags": "electrostatics, energy, work, capacitance, conductors",
"url": null
} |
homework-and-exercises, general-relativity, cosmology, flow
Title: Raychauduri equation for Milne universe I am trying to solve this kind of problem:
Consider the Milne model, i.e., the empty $ \kappa = −1 $ Friedmann model. Verify by a direct calculation that the expansion $ \Theta $ of the unit normal to the $ \tau... | {
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"url": null
} |
machine-learning, sentiment-analysis
We have two clauses: a positive one before however and one after. The first clause is positive, the latter negative. If we have a scale of -5 ro +5 for sentiment for each clause (perhaps the mean of each word in that clause) we could imagine scores such as +3 for the positive claus... | {
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} |
python, urdf
Here's a picture of how it looks like on rviz when I run
roslaunch urdf_tutorial display.launch model:=door.xml door.png
The visualization on rviz works perfectly find when I use continuous or fixed joints. So I'm not sure whether it is due to my code or some python related script. I'm running on Ubuntu 1... | {
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"url": null
} |
electrostatics, electric-fields, capacitance, dielectric
However, I'm aware that the actual formula for this has a 'k' factor in the denominator on the RHS. Could somebody point out where am I going wrong in this particular derivation?
The point of me asking this question is to indirectly address the fact that I'm not... | {
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"tags": "electrostatics, electric-fields, capacitance, dielectric",
"url": null
} |
power-engineering, gas
Combined cycle - exhaust from gas turbine (the "jet engine") is used to heat water into steam and run a steam turbine. Better efficiency than both above, and provides the much desired rapid response. Of course cost of construction is similar to sum of costs of construction of the two, and mainte... | {
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"tags": "power-engineering, gas",
"url": null
} |
hilbert-space, angular-momentum, operators
Title: Can the angular momentum have complex expectation value? I am thinking of:
\begin{equation}
\langle{\psi}|L|{\psi}\rangle
\end{equation}
$\psi$ is a complex function. No. Expectation values of observable operators are always real. | {
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1. Our bounds are $[1,3]$ and the midpoint $2.$ Since $f(2) = 6 > 0,$ we know that $2$ is bigger than the root. So, we use $2$ as our new upper bound.
2. Our bounds are $[1,2]$ and the midpoint $1.5.$ Since $f(1.5) = 1.375 > 0,$ we know that $1.5$ is bigger than the root. So, we use $1.5$ as our new upper bound.
3. Our... | {
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elements, radioactivity, halogens
by using its ionization potential (the amount of energy needed to remove one electron from an atom, turning it into an ion or a charged particle).
Physicists at CERN's ISOLDE (Isotope Separator On Line-Detector) Radioactive Ion Beam facility created artificial isotopes of astatine (a... | {
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ros
linked by target "cpp-tutorial-2-streams" in directory /home/jackson/github/librealsense/examples
linked by target "cpp-tutorial-3-pointcloud" in directory /home/jackson/github/librealsense/examples | {
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transforms, tf2
I have /odo to /base_link transform, and /map to /odo of gmapping node. If I compute:
T_base_link=T_odo+T_map
is different than:
T_base_link_lt obtenied from lookupTransform(/map,/base_link, now)
I sorry for my english. I hope had been clear.
Comment by jarvisschultz on 2021-06-27:
@sebasan Sounds to m... | {
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c#, .net, asp.net, mvc, controller
if(result == null)
{
return new JsonResult { ContentType = "text/html" };
}
// Assuming ResultModel is the class type for result
var uploadResult = Mapper.Map<UploadResultViewModel, ResultModel>(result);
return new JsonResult
{
Data = upl... | {
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php, mysql, form, mysqli
don't echo user supplied data without encoding it. Your regexes might change in the future, which would open you up to XSS.
don't echo db messages to the enduser. It's not user friendly, and it might reveal some information
don't die or print in functions, it makes them hard to reuse.
you use... | {
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Troll Dice Roller is the tool for finding dice probabilities. He has a paper explaining the implementation, but it's pretty academic.
max(2d6) yields
1 - 2.8%
2 - 8.3%
3 - 13.9%
4 - 19.4%
5 - 25%
6 - 30.6%
Average value = 4.47222222222 | {
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genetics
The original version of this question has been edited, so the first part of my answer, which addressed certain arguments and proposed experiments has now been removed. The question now incorporates material accepting the role of the enzyme lactase in determining whether humans can continue to digest milk afte... | {
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biogeochemistry, geobiology, biomass
biomass that does not derive it's energy from the photosynthesis
As you describe it. But that's very different than "subterranean biomass". In particular, the following sentence that you mention:
...it is speculated that the subterranean biomass is greater than the
familiar sur... | {
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python, beginner
# player first round action
if player_total < 21 and len(player_hand) == 2:
player_choice = input(f'Would you like to Hit, Stand, Split, or Double Down?: ').lower()
sleep(.25)
system('clear')
if player_choice not in ['split', 'double', 'stand', '... | {
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pollution, ozone
UK melanoma rate map from BBC
UK population density map. Population density seems to negatively correlate with melanoma.
Australia
Australia melanoma guidelines from Cancer.org.au stating the north has a higher risk for melanoma.
Australia population density map. Population density seems to negat... | {
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"tags": "pollution, ozone",
"url": null
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Stack Exchange is a Gram determinant all three vectors is of zero magnitude case, the row determining! Opposite face early telephone ] Or = a least number of dimensions of shapes! By induction over the number of dimensions multiple hosts in file and run command fails only. The least number of flips to a plastic chips t... | {
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"lm_q2_score": 0.8519528000888386,
"openwebmath_perplexity": 672.3718183009221,
"openwebmath_score": 0.9352316856384277,
"tags": null,
... |
ros, ros-fuerte, rosjava-core, rosjava
Title: rosjava compilation problem
after use ./gradlew install
i take this
rosjava_core/rosjava_messages/build/generated-src/explore/ExploreState.java:9: package robot_actions does not exist
void setStatus(robot_actions.ActionStatus value);
robot_actions is depricated...
Ubuntu ... | {
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astrophysics, spectroscopy
Measuring the precision of the shift of a spectral line against a wavelength scale boils down to how well you can estimate the centroid of the line. When you estimate the centroid of a Gaussian, the precision of your answer is not limited to the width of the Gaussian. It can, in principle, b... | {
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r
Title: Calculate regression coefficients for specific conditions in a data frame I have a data set where leaf mass (MASS) was measured in 30 different tanks (TANK) on 3 dates (DATE). The tanks were also assigned to 5 different treatments.
I want to calculate the regression slope of the mass loss for each tank so I w... | {
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"tags": "r",
"url": null
} |
experimental-physics, speed-of-light, neutrinos, faster-than-light
Title: Light vs neutrino speed comparison in a real tunnel Given current accuracy of the techniques, is it possible to identify a real, existing tunnel (stright I think) to make the direct comparison of the speed of light and of neutrinos?
The hypoteti... | {
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... |
To apply this to the original problem with $f(x)=\sin x$ observe that one may take for example $I=[-\frac12,\frac12]$ and $q=\sin \frac12<\frac12$.
Hint.
If $$u_n=\sin(1).\sin(2) \dots \sin(n)$$ was having a non vanishing limit $l$ then $$1=\lim\limits_{n \to +\infty} \frac{u_{n+1}}{u_n}= \lim\limits_{n \to +\infty} ... | {
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"lm_q2_score": 0.8354835391516132,
"openwebmath_perplexity": 247.87985692124158,
"openwebmath_score": 0.9490908980369568,
"ta... |
php, beginner, programming-challenge, array
If you have no need to do anything else but convert the text in lowercase/uppercase, then just call
print_r(array_map('strtoupper', $Color));
Is it good practise to implement such guard conditions in my own code at this point?
It is advisable when you do not know the data... | {
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ros, static-transform-publisher, transform
Title: static_transform_publisher negative average delay
When I use static_transform_publisher to provide a static transform, the average delay is negative. My questions are: 1) Is this a problem? 2) If so, is there a reason it's doing this, and how do I fix it?
For example,... | {
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-
Thank you, it is exactly the kind of reference I was looking for! – PierreBdR May 9 '11 at 13:54
The problem with expecting the mean of 90°, −90°, and 40° to be (90°−90°+40°)/3 = 13.33° is that you would then expect the mean of 10° and 350° to be (10°+350°)/2 = 180°, and not 0° which is the more reasonable answer. ... | {
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"lm_q2_score": 0.8824278664544912,
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"openwebmath_score": 0.8893794417381287,
"tag... |
image-processing, matlab, noise
Title: Adding Salt n Pepper noise into an Image manually When i looked in to the algorithm of Salt n Pepper noise in a Matlab i've found this,
case 'salt & pepper' % Salt & pepper noise
b = a;
x = rand(sizeA);
d = find(x < p3/2);
b(d) = 0; % Minimum value
d = find(x ... | {
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c++, multithreading, asynchronous, producer-consumer, multiprocessing
typedef is not needed in C++ for structs
In C++, one tends to have public members first and then private members. similarly constructors and functions generally come before member variables.
All classes with virtual functions must have a virtual des... | {
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"url"... |
machine-learning, classification, data, data-cleaning, feature-engineering
That being said, you seem to have numerous products. To avoid the curse of dimensionality, what I would do is take your binary bought/not features (or count values might be even more effective if you have that data) and do dimensionality reduct... | {
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... |
statistical-mechanics, bosons, chemical-potential
$$\mu(S,V,N,\dotsc) = \frac{\partial E(S,V,N,\dotsc)}{\partial N} $$
(though usually the free enthalpy is used instead of the energy; see Astarita's reference below). A negative chemical potential (at particular values of $(S,V,N,\dotsc)$ or equivalently $(T,V,N,\dotsc... | {
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"url": null
} |
linear-algebra, randomized-algorithms, matrices
Given that the user provides values for "mat1", "mat2", and "tmat," are there any precautions they need to take before supplying values for them? Again, this is for an API and its documentation, so I would like to be able to give the customers a good idea of what they ne... | {
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"tags": "linear-algebra, randomized-algorithms, matrices",
"url": null
} |
imu, eigen, sensor-msgs
(view:3495): Gtk-WARNING **: Unable to locate theme engine in module_path: "pixmap",
(view:3495): Gtk-WARNING **: Unable to locate theme engine in module_path: "pixmap",
(view:3495): Gtk-WARNING **: Unable to locate theme engine in module_path: "pixmap",
my_subscriber: /usr/include/eigen3/Eig... | {
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"url": null
} |
Since $$\mu$$ is $$\sigma$$-finite, we can can write $$X = \bigcup_{n=1}^\infty X_n$$ with $$\mu(X_n) < \infty$$. We only need to show that $$f(x) \leq g(x)$$ for $$\mu$$-almost all $$x \in X_n$$ and all $$n \in \mathbb{N}$$.
Thus, let w.l.o.g. $$\mu$$ be a finite measure. Now let $$Y_n := \{ g \le n\}$$. Again, we onl... | {
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What fraction of points lie between plus and minus one standard deviation of the mean?
samples >= mu-sigma will return a vector of ones where the inequality is true, and zeros where it is not. (samples >= mu-sigma) & (samples <= mu+sigma) will return a vector of ones where there is a one in both vectors, and a zero wh... | {
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"openwebmath_score": 0.5162999629974365,
"tags": null,
... |
c#, sql, recursion, sql-server, reflection
public int DataId { get; set; }
public string DataName { get; set; }
public string DataType { get; set; }
public string UserId { get; set; }
public string StringValue { get; set; }
public int IntegerValue { get; set; }
public DateTime? DateTimeValue { ... | {
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"tags": "c#, sql, recursion, sql-server, reflection",
"url": null
} |
snr, downsampling, aliasing, linear-phase
Since the folding areas are in distinct bands, a multi-band filter is a good choice for decimation filter design (firls and firpm in Matlab support the design of multiband filters).
As far as the impact on noise due to decimation itself, see this post that further details how ... | {
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"tags": "snr, downsampling, aliasing, linear-phase",
"url": null
} |
lagrangian-formalism, conservation-laws, symmetry, action, noethers-theorem
However, in case of non-zero horizontal transformations, formula (G) is not a decisive quantity for Noether's theorem, and one should rather look at the action
$$ \delta S~=~4\varepsilon ~S ,\tag{H}$$
or at least the Lagrangian 4-form
$$ \del... | {
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"u... |
equations that I showed earlier, 1: 2: I want to figure out the general solution, but I can never get it,. In this paper, we research the existence and uniqueness of positive solutions for a coupled system of fractional differential equations. This will include illustrating how to get a solution that does not involve c... | {
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"openwebmath_score": 0.5333122611045837,
"tags... |
Gaussian Elimination without Pivoting is as follows. The primary purpose of Gaussian elimination, if you follow this, is to find $\ell_{jk}$ which zeros out the row below. That is why it is the ratio of the two rows and then you subtract them. This continues on and on. Why does it have to be lower triangular? Because t... | {
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"lm_q1_score": 0.9744347905312772,
"lm_q1q2_score": 0.8055767297246798,
"lm_q2_score": 0.8267117898012104,
"openwebmath_perplexity": 299.0701314228373,
"openwebmath_score": 0.7535778880119324,
"tag... |
python, object-oriented, python-3.x, simulation
When you get around to commenting your code, start by writing docstrings first.
Instead of composing strings by concatenation with +, use one of the several string-formatting options. Personally, I prefer str.format(), which is quite powerful and is supported by many ve... | {
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"tags": "python, object-oriented, python-3.x, simulation",
"url": null
} |
solubility, energy, heat
Title: why does sodium chloride in water dissolve/precipitate with little heat, or indeed, at all? Sodium and chlorine presumably react together strongly, which is why the solid product is stable and takes a lot of energy to break the bonds formed, and to melt. According to the Wikipedia, melt... | {
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"tags": "solubility, energy, heat",
"url": null
} |
thermodynamics, statistical-mechanics, normal-modes
In the case of an ideal fluid, maximally random could correspond to the equipartition that indeed stating that EVERY mode has the same kinetic energy. This does not mean that every scale has the same energy because the smaller the scale the larger is the number of mo... | {
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"tags": "thermodynamics, statistical-mechanics, normal-modes",
"url": null
} |
ros, simulation, stage, teleop-base, joy
Originally posted by breakspirit with karma: 76 on 2012-08-05
This answer was ACCEPTED on the original site
Post score: 4
Original comments
Comment by KevinNickels on 2013-09-11:
Thanks, this worked for me. I also had to "sudo apt-get install ros-groovy-joystick-drivers" sinc... | {
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"tags": "ros, simulation, stage, teleop-base, joy",
"url": null
} |
quantum-mechanics, solid-state-physics, symmetry, conservation-laws, crystals
In the first equation, I currently believe that $\textbf{k}$ can be any vector, and is not necessarily in the set of reciprocal wave vectors (i.e., $\textbf{k} \notin \{\textbf{K}\}$ necessarily). Since this is true, what is $\psi_{n\textbf{... | {
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"tags": "quantum-mechanics, solid-state-physics, symmetry, conservation-laws, crystals",
... |
ros, vslam
make[3]: Leaving directory `/opt/ros/topological_navigation_rosinstall/vslam/sba/build'
[ 32%] Built target sba_vis
make[3]: Entering directory `/opt/ros/topological_navigation_rosinstall/vslam/sba/build'
make[3]: Leaving directory `/opt/ros/topological_navigation_rosinstall/vslam/sba/build'
make[3]... | {
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"tags": "ros, vslam",
"url": null
} |
# Explanation of “without loss of generality”
I've been doing math for some time now, but I'm starting to get into serious proofs now that I'm taking analysis and such. I'm just confused with what it actually means? Does it infer that although we are showing a specific case, this holds for all particular problems like... | {
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"ta... |
c++, reinventing-the-wheel, c++17, monads, variant-type
template<typename ParamType>
constexpr explicit Result(ParamType const & value)
: variant_ {
[]() -> auto {
if constexpr (std::is_same_v<LeftType, ParamType> || is_left_v<ParamType>) {
return std::in_pla... | {
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"tags": "c++, reinventing-the-wheel, c++17, monads, variant-type",
"url": null
} |
navigation, ekf, robot-localization
Comment by Tom Moore on 2017-01-04:
Yes, correct.
Comment by Abdur on 2022-03-31:
I have the same confusion. As per the comments, did you set the frames laser_odom , camera_odom and wheel_odom as the children of base_link ? That cant work for me because these are the fixed frames..
... | {
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"tags": "navigation, ekf, robot-localization",
"url": null
} |
newtonian-mechanics, forces, free-body-diagram, string
Title: String applying a force on pulley Why should string apply a force on pulley? (like atwood machine cases) and does that mean the pulley will exert an equal force on string (newton's third law)?
Please explain in detail,if possible explain with a diagram. I t... | {
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"tags": "newtonian-mechanics, forces, free-body-diagram, string",
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java, parsing, generics, library
throw new IllegalArgumentException(message, e);
} catch (RuntimeException e) {
String message = makeParseErrorMsg(input, e.getMessage(),targetType);
throw new IllegalArgumentException(message, e);
}
}
private boolean isPrimitive(Type targ... | {
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"tags": "java, parsing, generics, library",
"url": null
} |
python, linux, ssh
Client = namedtuple("Client", "ip username passwd root_passwd")
HARD_DISKS = ['sd{}'.format(c) for c in string.ascii_lowercase[:19]]
def get_os(client):
for line in ssh_cmd("cat /etc/*release", root_passwd=client.root_passwd):
if any(x in line for x in os_check_list):
# check... | {
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"tags": "python, linux, ssh",
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quantum-mechanics, operators, velocity, hamiltonian
Similarly
$$ -i\langle n {\bf k} | [{\bf r}, H] | n {\bf k}'\rangle = (E_{\bf k}'-E_{\bf k})\partial_{\bf k}\langle n {\bf k} | n {\bf k}'\rangle$$
which will result in the desired expression upon taking the limit ${\bf k}'\to {\bf k}$. You can also use the Hellman-... | {
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"tags": "quantum-mechanics, operators, velocity, hamiltonian",
"url": null
} |
homework-and-exercises, newtonian-mechanics, harmonic-oscillator, oscillators, models
Title: Simple Harmonic Motion: Equating Pendulum and Curved Track This scenario is taken from the 2018 NZ Scholarship physics exam:
(Just in case the image doesn't load, it involves a wagon on a curved track (concave up). The wagon ... | {
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"tags": "homework-and-exercises, newtonian-mechanics, harmonic-oscillator, oscillators, mod... |
java, strings, reinventing-the-wheel, integer
Integer.toHexString(a);
}
System.out.println("Warming up done.");
}
private static void benchmark() {
long seed = System.nanoTime();
Random random = new Random(seed);
System.out.println("Seed = " + seed);
... | {
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"tags": "java, strings, reinventing-the-wheel, integer",
"url": null
} |
star, planet, telescope, light, space
Title: How do I know what I'll be able to see? So I live in a suburb in Victoria, Australia. Less than an hour away from the city and I guess there is a bit of light pollution because from my backyard I can probably only see about 15 - 20 stars (probably less), I'm wondering what ... | {
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"tags": "star, planet, telescope, light, space",
"url": null
} |
orbital-mechanics, lagrange-point
F_{M_2}(\underline{r}) = -\frac{(-\mu)
\underline{r}_2}{r_2^3} - 2 \hat{\underline{z}}\times\underline{v}
$$
The first case corresponds to simply ignoring the smaller mass: transforming back to an inertial frame gives the standard Kepler problem for the test particle and $M_1$. For ... | {
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"tags": "orbital-mechanics, lagrange-point",
"url": null
} |
quantum-field-theory, supersymmetry
Sorry, this is really not a question about representations of 3D supersymmetry algebras. It is a basic question about the difference between physics and social conventions. My answer would be identical in any other context where we talk about conventions. Everyone who has heard or r... | {
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"tags": "quantum-field-theory, supersymmetry",
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} |
beginner, vba, excel, web-scraping
End With
With Sh3
.Calculate
.Range("b4").Copy
Sh2.Range("K23").PasteSpecial xlPasteValues
.Range("b5").Copy
Sh2.Range("L23").PasteSpecial xlPasteValues
.Range("b6").Copy
Sh2.Range("M23").PasteSpecial xlPasteValues
... | {
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"openwebmath_score": null,
"tags": "beginner, vba, excel, web-scraping",
"url": null
} |
beginner, programming-challenge, haskell, primes
All top-level definitions should be annotated with a type signature in Haskell. There are myriad reasons for always doing this, including acting as documentation, providing necessary information to the compiler on occasions, serving as a check against your own understan... | {
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"tags": "beginner, programming-challenge, haskell, primes",
"url": null
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java, event-handling
Class isn't an obvious name for something which isn't a class. And given that you're using java.lang.Class inside the method without fully qualifying the name, it has even more potential to confuse.
Method MTR = Class.getClass().getMethod(MethodName, Object.class, Object.class); // MTR... | {
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"openwebmath_score": null,
"tags": "java, event-handling",
"url": null
} |
organic-chemistry, acid-base, aromaticity
Title: Is cyclopentadiene or cycloheptatriene more acidic?
Which of the following cyclic compounds are more acidic?
The most acidic proton is positioned on the carbon that is at the top of the above drawings (the methylene hydrogens) on each of the two species, as deprotonat... | {
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## Introduction to grouping
Factor t^2+8t+15 as (t+3)(t+5), first using the "sum-product" method, then using the grouping method.
Back
## Introduction to grouping | {
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"openwebmath_score": 0.5798130631446838,
"tags": nu... |
c++, skip-list
Title: Skip List implementation Skip lists are a probabilistic alternative to balanced trees, they are balanced by consulting a random number generator, that determines how many pointerscalled node level to successive elements a node will have.
Skip list is a simple data structure that allows fast searc... | {
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"tags": "c++, skip-list",
"url": null
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classical-mechanics
I am precisely referring to transformations acting on the coordinates of the points of matter of the physical system. This action is next extended to velocities of these points by formally computing the $d/dt$ derivative (lifting the transformation to the first jet bundle, formally speaking).
The f... | {
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"openwebmath_score": null,
"tags": "classical-mechanics",
"url": null
} |
from the cylinder and show that the volume of the remaining piece (call it S) is 2/3 r 2 h leaving the cone with volume r 2 h - 2/3 r 2 h = 1/3 r 2 h. Showing top 8 worksheets in the category - Volume Of Cone. You'll learn about the formula for the volume of a cone and see how to use the volume; cone; 1/3 volume of cyl... | {
"domain": "consultoriaig.es",
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"lm_name": "Qwen/Qwen-72B",
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"openwebmath_score": 0.7482104897499084,
... |
-
@quartz: the answer is write for any $a$ - that means that is also be given in the form $(1+a_n)^n\geq 1+na_n$ – Ilya Mar 23 '12 at 19:05
the dependence of a on n doesn't change the fact that (1) is true for $a \geq -1$, particularly it is true for every number a of the form $1/n^2$ where n is the power itself. – Ger... | {
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"openwebmath_score": 0.8810479640960693,
"tag... |
mapping, pcl, pointcloud
Title: Fastest way to build a 3D map from 3D Scans and TF data?
Hi,
I did some 3D scans and saved them to a bag file with the corresponding tf, imu and odom frames. But I am wondering how I can build a map of my data?
Is there something like a package where I just have to input the PointCloud... | {
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8. Eigenvalues and eigenvectors correspond to each other (are paired) for any particular matrix A. This has value 0 when (lambda - 4)(lambda +1) = 0. The matrix have 6 different parameters g1, g2, k1, k2, B, J. Steps to Find Eigenvalues of a Matrix. Notice that this is a block diagonal matrix, consisting of a 2x2 and a... | {
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"openwebmath_score": 0.8298553824424744,
... |
+0
# Don't understand
+1
466
3
(a) How many ordered pairs (x,y) of integers are there such that \sqrt{x^2 + y^2} = 5? Does the question have a geometric interpretation?
(b) How many ordered triples (x,y,z) of integers are there such that \sqrt{x^2 + y^2 + z^2} = 7? Does the question have a geometric interpretation?... | {
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"lm_q2_score": 0.8221891327004133,
"openwebmath_perplexity": 937.9758634226354,
"openwebmath_score": 0.6174938678741455,
"tags": null... |
c#, .net
public enum PersonType
{
Employee,
Manager,
Contractor,
Executive,
[IsAllowed]
President
}
public static class Data
{
/// <summary>This array is automatically prefilled with the
/// PersonType values that do not have an [IsAllowed] custom attribute.
/// To change this arr... | {
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"openwebmath_score": null,
"tags": "c#, .net",
"url": null
} |
javascript, performance, d3.js
linesSecond.append('path')
.data([dataSmallFilter])
.attr('class', 'mylines')
.attr('fill', 'none')
.attr('stroke', 'tomato')
.attr('stroke-width', 1)
.attr('d', lineSecond);
} You are very right: deleting the elements and repainting the SV... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "javascript, performance, d3.js",
"url": null
} |
java, datetime
Title: Converting numeric (month/day/year) date inputs to regular format (month day, year) I'd really appreciate some general formatting/style/performance tips, as well as any ways I could improve this code in general that I wrote for an assignment (title) that's due at the end of the week. The code pa... | {
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"openwebmath_score": null,
"tags": "java, datetime",
"url": null
} |
statistical-mechanics, solid-state-physics
If that is the case then is the reason why MBD fails at low temperatures and high densities because of the fact that it is no longer possible to have the same energies just by having the same velocities as now a particular energy is confined to a specific location and a parti... | {
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"url": null
} |
This only shows what the book's answer means. It does not mean that the op's answer is wrong because the given curve is $\left[0,\dfrac{2 \pi}{3}\right]$ (blue one), the red one is $\left[\pi,\dfrac{4 \pi}{3}\right]$ | {
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"tag... |
java, beginner
Having dispatched some specific types, we could
define isCommonTriangle = !isIsoscelesTriangle && !isEquilateralTriangle && !isRightTriangle.
But for this code it's probably better to just
leave it as the default case when reporting an outcome.
That is, simply use an else. | {
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We know that point $A$ has coordinates $(3, 3, 7)$ and point $B$ has coordinates $(5, -1, 1)$, and therefore the length of the line from $B$ to $A$ is
$|\overrightarrow{BA}| = |(3, 3, 7) - (5, -1, 1)| = |(-2, 4, 6)| = \sqrt{(-2)^2 + 4^2 + 6^2} = \sqrt{56}$
The shortest distance from $B$ to the line $l_2$ is the lengt... | {
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"openwebmath_score": 0.937382698059082,
"... |
• @wecandothis: I get $q= 0.5108$ and $q^3C_{33} + 3q^2(1-q)C_{32} = 1.4140$. Dividing by $(1+r)^9 = 1.009036$ I get $C = 1.4013$. This is the same as the result obtained by working backwards through the tree.
– RRL
Sep 15 '20 at 0:40 | {
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"lm_q2_score": 0.8577680977182187,
"openwebmath_perplexity": 414.7783489167521,
"openwebmath_score": 0.8174222707748413,
"tag... |
.net, asp.net, cryptography, vb.net, aes
Using cs = New CryptoStream(ms, AES.CreateEncryptor(), CryptoStreamMode.Write)
'cs.Write(saltBytes, 0, saltBytes.Length) ' new
cs.Write(bytesToBeEncrypted, 0, bytesToBeEncrypted.Length)
cs.Close()
End U... | {
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"openwebmath_score": null,
"tags": ".net, asp.net, cryptography, vb.net, aes",
"url": null
} |
optics, resource-recommendations, laser
how I can extend the ABCD matrix method when both the fundamental and the second harmonic are circulating in the cavity ?
optimal cavity length
beam waist and divergence
resonator stability, sensitivity to misalignments
slope efficiency (pump power vs. anticipated output power)
... | {
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"id": 27432,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "optics, resource-recommendations, laser",
"url": null
} |
modulation, frequency-response, amplitude-modulation
Such a frequency offset is inevitable given the transmitter and receiver operate on different reference clocks that can't possibly be at exactly the same frequency, and the frequency difference can be significant for low cost hardware with temperature variations etc... | {
"domain": "dsp.stackexchange",
"id": 10664,
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"openwebmath_score": null,
"tags": "modulation, frequency-response, amplitude-modulation",
"url": null
} |
The adjoint representation does not suffice, by itself, to prove Ado’s theorem in the non-semisimple case. However, it does provide an important reduction in the proof, namely it reduces matters to showing that every finite-dimensional Lie algebra ${{\mathfrak g}}$ has a finite-dimensional representation ${\rho: {\math... | {
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"lm_q1_score": 0.9896718459575752,
"lm_q1q2_score": 0.8114253577749696,
"lm_q2_score": 0.8198933425148213,
"openwebmath_perplexity": 143.85039791894428,
"openwebmath_score": 0.9072800874710083,
"tags":... |
quantum-mechanics, many-body, hilbert-space
Title: Basis states for many-particle system I'm reading these notes about second quantization. In section 1.4 the author introduces many-particle wavefunctions. But I can't understand how basis are defined here.
I know that if $\{\chi_i | i=1, \dots, N\}$ are single-particl... | {
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"openwebmath_score": null,
"tags": "quantum-mechanics, many-body, hilbert-space",
"url": null
} |
immunology, immune-system, antibody, antigen
Title: CDRs and antigen-binding sites Are complementarity determining regions (CDRs) not the same thing as antigen-binding sites?
If not, what is the difference?
An old exam question states:
"Clarify how CDRs are related to the antigen binding sites"
To answer this I woul... | {
"domain": "biology.stackexchange",
"id": 12023,
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"tags": "immunology, immune-system, antibody, antigen",
"url": null
} |
c++, algorithm
}
else if (arr[i] + arr[p2] > target)
{
continue;
}
else break;
}
}
}
return res;
} | {
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"tags": "c++, algorithm",
"url": null
} |
cosmological-inflation
or
$$\Delta t \equiv t_{\mathrm{end}} - t_{\mathrm{begin}} = 100/H,$$
where $t_{\mathrm{begin}}$ and $t_{\mathrm{end}}$ marks the time of beginning and end of inflation, respectively.
During inflation, the Hubble constant should not evolve, but have a constant value of $H=(\Lambda/3)^{1/2}$, whe... | {
"domain": "astronomy.stackexchange",
"id": 755,
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"tags": "cosmological-inflation",
"url": null
} |
inorganic-chemistry, catalysis, mole
Judging from the application (catalysis) as well as from the typical oxidation states, I'd actually propose iridium cobalt chloride $\ce{Co3IrCl11}$ as the answer, yet $\ce{Co3Mo2Cl11}$ would also be possible (AFAIK, molybdenum(II,III) isn't a common composition for halide salts), ... | {
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"tags": "inorganic-chemistry, catalysis, mole",
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} |
performance, swift, mathematics, factors
Better check the number of arguments and their validity explicitly, even if it is more code. Print an informative message if wrong arguments are given. It is also common usage to exit with a non-zero exit status if a command line program failed.
Use more descriptive variable na... | {
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quantum-mechanics, statistical-mechanics, temperature, identical-particles
On the other hand, imagine that these three particles only occupy two states, e.g. that two particles occupy state $A$ and the other particle occupies state $B$. In this case, there are only three possible configurations of the system, and so d... | {
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"tags": "quantum-mechanics, statistical-mechanics, temperature, identical-particles",
"ur... |
ros, knowrobtutorials, knowrob, json-prolog
Comment by Noah on 2014-03-06:
@moritz,
I edited the question maybe it could help. Thank you anyway for you support
Comment by rperro88 on 2014-03-06:
Ok, Thank you @moritz and what about the last error?
ERROR: /opt/ros/fuerte/stacks/knowrob/comp_temporal/prolog/comp_tempora... | {
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} |
c++, collections, circular-list
pointer operator->() { return &(queue->operator[](cast(pos))); }
reference operator[](difference_type rhs) const { return (queue->operator[](cast(pos + rhs))); }
bool operator==(const iterator &rhs) const { return (queue == rhs.queue && pos == rhs.pos); }
bool op... | {
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"tags": "c++, collections, circular-list",
"url": null
} |
cosmology, universe, entropy
Title: Entropy of an empty universe After watching the first episode of wonders of the solar system, one question came up which is not explained.
Bryan Cox says that ultimately the universe will be devoid of matter, so not even a single particle will actually exist. This however, seems to ... | {
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"openwebmath_score": null,
"tags": "cosmology, universe, entropy",
"url": null
} |
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