text stringlengths 1 1.11k | source dict |
|---|---|
thermodynamics
Title: How does one interpret thermodynamic differentials? Why do we treat thermodynamic quantities mainly with differential? What is the intuitive reason behind it.
In sense, what is the right perspective to look at these things from? It is quite different from most physics I have encountered so far. G... | {
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"tags": "thermodynamics",
"url": null
} |
c#, beginner
static void Main()
{
do
{
int weight = GetIntNumber(0, 1500, "\nEnter the weight of the potato in grams: ", "\nEnter an integer between 0 and 1500: ");
if (weight < 201)
{
printGrade("X");
}
else
... | {
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"tags": "c#, beginner",
"url": null
} |
c++, parsing, configuration
Possible overuse of exceptions
There are a lot of exceptions that might be thrown from your code, ones that you generate and others that are cause by some of the functions that you call e.g. std::map.at() will except on a key that doesn't exist. Considering how you have to deal with excepti... | {
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"openwebmath_score": null,
"tags": "c++, parsing, configuration",
"url": null
} |
homework-and-exercises, quantum-field-theory, particle-physics, units, unit-conversion
Perhaps, I need to add an intermediate state, the inversion of the first formula, to make the result obvious:
$$1\text{ eV}=0.152\times 10^{+16}\text{ s}^{-1} $$
Again, one MeV is one million times, not one thousand times, larger th... | {
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"tags": "homework-and-exercises, quantum-field-theory, particle-physics, units, unit-conver... |
object-oriented, php5, database, mysqli
I'm expecting very different queries in each page
Consider then: What functionality does this class provide you with? How much code does it save for you? Will it make your code more readable?
As I see it, there are primarily four lines that summarize what your class is all abou... | {
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"tags": "object-oriented, php5, database, mysqli",
"url": null
} |
c#, xml
dataNodeIDValue = node.Attributes[0].Value;
dataNodeIDName = node.Attributes[0].Name;
xpathStr = "//offer/data[@" + dataNodeIDName + "='" + dataNodeIDValue + "']/output";
if (String.IsNullOrEmpty(output))
{
root.SelectSingleN... | {
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"tags": "c#, xml",
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} |
of 1200 square inches. Surface Area of a Rectangular Prism The gift wrap department of a store has specially sized boxes to wrap sweaters. Therefore, a box with no top and square base with a volume of 32,000 cubic centimeters has a minimum surface area if the base is a square of side 40 cm and the height is 20 cm. The ... | {
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"lm_q2_score": 0.8311430499496096,
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"openwebmath_score": 0.7742525935173035,
"tag... |
discrete-signals, stationary
Sinus(oid)
Stationary...Self-explanatory, given #3
Sum of multiple sinuses with different periods and amplitudes
Self explanatory given #1, #2,#3 and #4. If the periods and amplitudes of the components do not change in time, then the constraints between the samples do not change in time... | {
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"openwebmath_score": null,
"tags": "discrete-signals, stationary",
"url": null
} |
java, optimization, serialization
Title: Efficiently packing the header and data in one Byte Array in a single class I have a header and data which I need to represent in one Byte Array. And I have a particular format for packing the header in a Byte Array and also a different format to pack the data in a Byte Array. ... | {
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"openwebmath_score": null,
"tags": "java, optimization, serialization",
"url": null
} |
quantum-mechanics, condensed-matter, solid-state-physics
rare-earth elements: there exists local moment due to the flat band from f-orbitals. However, it is important to note that the behavior of "local moment" here is different from that in Mott insulator. The local moments in Mott insulator obtian the magnetic behav... | {
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"tags": "quantum-mechanics, condensed-matter, solid-state-physics",
"url": null
} |
classical-mechanics, differential-geometry, hamiltonian-formalism, phase-space, canonical-conjugation
$q$ and $p|_q$ both have $n$ degrees of freedom, so the cotangent space $T^*Q$ is a $2n$-dimensional smooth manifold. It can therefore be locally parameterized by local coordinate charts $(U \subset T^*Q) \to \mathbb{... | {
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"tags": "classical-mechanics, differential-geometry, hamiltonian-formalism, phase-space, ca... |
c#, primes, task-parallel-library
// Though the whole number portion of the square root of ulong.MaxValue
// would fit in a uint, we want to cast to uint and then back to ulong.
ulong root = (ulong)(uint)Math.Sqrt(number);
// Fix Corner Case: Math.Sqrt error for really HUGE ulong.
if (root == 0) root =... | {
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"tags": "c#, primes, task-parallel-library",
"url": null
} |
complexity-theory, graphs, np-complete, np-hard, np
Conversely, if $G(V, E)$ has a matching erosion $M = (A, B)$, we shall show that none of the elements $e_i$ in the universe is included in $A$. Indeed, if some $e_i$ is included in $A$ then at most one $e_l$ is not in $A$. This is because if there exist $e_i\in A$ an... | {
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"openwebmath_score": null,
"tags": "complexity-theory, graphs, np-complete, np-hard, np",
"url": null
} |
quantum-chemistry, periodic-trends, periodic-table
Title: Periodic table- quantum numbers I have come across many questions like: "if electron had 3 spins (-1/2,0,+12) then what change will be there in the periodic table?", also sometimes " if the capacity of each orbital becomes 5 then in what period or group will th... | {
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"tags": "quantum-chemistry, periodic-trends, periodic-table",
"url": null
} |
time-series, lstm, recurrent-neural-network
Another complex way would be to use some continuous model, either biology/physics - inspired or a generic Gaussian process, and then add sampling into discrete uneven time-points as a part of data acquisition modelling.
Yet another method would be to re-derive ARIMA for un-e... | {
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"tags": "time-series, lstm, recurrent-neural-network",
"url": null
} |
quantum-mechanics, wavefunction, fermions, pauli-exclusion-principle, identical-particles
Too bad. Math doesn't care whether you believe in it or not.
In any case, though, let's do some math. Let's start with one result that actually matters.
Let $H$ be a two-fermion hamiltonian which is invariant under particle exch... | {
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"tags": "quantum-mechanics, wavefunction, fermions, pauli-exclusion-principle, identical-pa... |
electromagnetism, electromagnetic-induction, electronics
And yes, the induced current in the aluminum does cancel out the magnetic field, shielding the iron disk above the aluminum. This is how a Faraday cage works; it's well known that Faraday cages don't have to be ferromagnetic to shield stuff inside them from ind... | {
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"openwebmath_score": null,
"tags": "electromagnetism, electromagnetic-induction, electronics",
"url": null
} |
newtonian-mechanics, forces, definition, work
This might seem a little confusing - perhaps you're wondering, if the total work done is zero, how did the gravitational potential energy increase from $0$ to $mgh$? The trick there is that the "work done by gravity" $W_g$ is actually the gravitational potential energy und... | {
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"tags": "newtonian-mechanics, forces, definition, work",
"url": null
} |
javascript, performance, regex, markdown
Already cuts down the recognition of the pattern mismatch in your example to a measly 272 steps. Do note that I took the liberty of replacing your ORing capture group with a significantly "easier" character class. The functionality is basically equivalent, if we ignore the fac... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "javascript, performance, regex, markdown",
"url": null
} |
linear-programming
Title: Question about the CLRS Linear Programming chapter I'm currently reading the CLRS Linear Programming chapter and there is something i don't understand.
The goal is to prove that given a basic set of variables, the associated slack form is unique
They first prove a lemma :
And then they prove... | {
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} |
performance, validation, assembly
nwln: outputs a newline
PutStr: displays a label
GetLInt: receives a 32-bit integer
PutLInt: displays a 32-bit integer
My questions:
Is my input validation reducing readability, or is that not important as long as the program proceeds with only the correct input?
Should I need to ch... | {
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"tags": "performance, validation, assembly",
"url": null
} |
If the condition "x> 0" had not been included, both x= -2 and x= 1 would have given stationary points. With that condition, only x= 1 does. | {
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"lm_q2_score": 0.853912747375134,
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"openwebmath_score": 0.8986179232597351,
"tag... |
special-relativity, metric-tensor, stress-energy-momentum-tensor, lorentz-symmetry, cosmological-constant
Apologies if this is a stupid question, but I'm just having a mental block over it. I believe it can be useful to define the following concepts (I won't be very formal here for pedagogical reasons):
Any event can ... | {
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"tags": "special-relativity, metric-tensor, stress-energy-momentum-tensor, lorentz-symmetry... |
metal, color
Title: What causes the iridescent colour in laboratory grown bismuth? Artificially grown bismuth crystals are arguably magnificent, as seen in the image below:
Image source: Minerals.net
The website states that:
They have hopper-like growths in pseudocubic crystals and are usually coated with chemicals ... | {
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"tags": "metal, color",
"url": null
} |
ros, joint-trajectory-controller
When i send the joint_trajectory_controller a trajectory with positions and timestamps (no velocity or acceleration for now), the trajectory controller will write the first position data to the canopen controllers at the specified time in the trajectory message, at the next SYNC interv... | {
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"tags": "ros, joint-trajectory-controller",
"url": null
} |
performance, vba, timer, benchmarking
Public Sub OpenLabel(ByVal labelName As String)
'Save time on arrival
Dim clockTimes As New TimeInfo
clockTimes.TimeIn = MicroTimer
'Define new label, and make it a child of the current label
Dim newNode As New LabelTree
newNode.NodeName = labelName
If... | {
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"tags": "performance, vba, timer, benchmarking",
"url": null
} |
Kudos [?]: 65 [1] , given: 9
Re: The area of a circular region is 5π [#permalink] 15 Mar 2018, 16:39
1
KUDOS
correct: C
area = \pi * r^2
5\pi = \pi * r^2
diemeter = 2r = 2 * radical(5)
So A and B are equal.
Re: The area of a circular region is 5π [#permalink] 15 Mar 2018, 16:39
Display posts from previous: Sort by | {
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of little lines and then cut out the main line you drew. h header file In this program, we will draw a circle on screen having centre at mid of the screen and radius of 80 pixels. Consider a single circle with radius r, the area is pi r 2. Area and Perimeter of a Ellipse Shape Calculator Calculate Area and Perimeter of... | {
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functional-programming, scala
def safePwdInfo(idInfo: IdInfo): Option[PasswordInfo] = {
try {
Some(calcPwdInfo(idInfo))
} catch {
case ex: AuthorizationException => None
}
}
then the connect method looks like :
def connect(): Option[(IdInfo, PasswordInfo, ConnectionInfo)] = {
safeIdInfo() flatMap (id... | {
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mass, mass-energy
Neutrinos are the next most massive thing we know after the photon, but those measurements are also indirect. We can currently measure neutrino masses via their tendency to change flavor as they travel. However, this type of experiment really only measures differences between squared masses, rather t... | {
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"tags": "mass, mass-energy",
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} |
special-relativity, reference-frames, time-dilation, radioactivity, half-life
Title: Can radioactivity be slowed through time dilation? Can radioactivity be slowed using the effect of time dilation?
If you put cesium, tritium or uranium in a cyclotron at relativisitic speeds, do their half lives become longer in our f... | {
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... |
strings, recursion, sets, mathematical-foundations, inductive-datatypes
A third way is through induction: a property $P$ holds for all $\Sigma^*$ if $P(\lambda)$ and for all $\sigma \in \Sigma$, $P(w) \longrightarrow P(w\sigma)$. This is how we usually use this definition.
Given this definition, it is possible to defi... | {
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... |
from If both the regression coefficients are negative, r would be negative and if both are positive, r would assume a positive value. So, in Excel, you do linear regression using the least squares method and seek coefficients a and b such that: y = bx + a Student Worksheets Created by Matthew M. 4 and 8 2) The differen... | {
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performance, primes, assembly, sse
I didn't make any effort to align any of the lookup tables at all (and they won't have any natural alignment since they are all bytes. No doubt about 50% of the 32B loads will be "split loads" that cross a cache line. With a bit of care you can reduce that to 0% for the smaller table... | {
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floating-point
and pay attention to the sum $\sum\limits_{k=1}^{23} b_{23-k}\cdot 2^{-k}$, we note that
$$0 \leq \sum\limits_{k=1}^{23} b_{23-k}\cdot 2^{-k} \leq \sum\limits_{k=1}^{23} 2^{-k} < \sum\limits_{k=1}^\infty 2^{-k} = 1,$$
where the last equality is formed by evaluating the geometric series. Thus we find tha... | {
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• +1 for explaining how to deal with the problems presented by the effects of multiplying by x(x+2). Nov 28, 2013 at 19:46
• Thanks! I thought the quadratic formula remark needed addressing. Nov 28, 2013 at 21:04
You need to be sure that $x\neq 0$ and $(x+2)\neq 0$. Moreover, multiplying both sides of the inequality b... | {
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vision, eyes, human-eye, light, senses
...good primaries are stimuli that maximize the difference between the responses of the cone cells of the human retina to light of different wavelengths, and that thereby make a large color triangle.
This gets at the fundamental reason, which is that it is generally believed tha... | {
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} |
The partition $\{2\}\;\;\{3,5\}$ is the same as $\{3,5\}\;\;\{2\}$
. . because $2\cdot15\text{ and }15\cdot2$ are the same factoring.
Hi Soroban:
Thank you for your reply. So for example, 3x10 is also equivalent to 10x3 right? So this kind of repeated value is not allowed. If i use your example, i can't seem to get t... | {
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"openwebmath_score": 0.8626995086669922,
"tag... |
ros, ros-kinetic, service
Originally posted by Felix Widmaier on ROS Answers with karma: 382 on 2018-05-16
Post score: 0
Original comments
Comment by gvdhoorn on 2018-05-16:
Would the rqt_service_caller suffice?
Comment by Felix Widmaier on 2018-05-16:
I did not test, but from the description it is for calling servic... | {
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"tags": "ros, ros-kinetic, service",
"url": null
} |
electromagnetism, coordinate-systems, maxwell-equations
What happens to the quantities involved in Maxwell’s equations upon a parity transformation?
The normal vector quantities: positions, velocities, forces, and $J$ (vector current density) transform in the usual way, they all flip sign. The electric field is also ... | {
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"tags": "electromagnetism, coordinate-systems, maxwell-equations",
"url": null
} |
• Determine the Galois group of $$f(x) = x^3 - 7$$ over $${\mathbb{Q}}$$, and justify your answer carefully.
• Find all subfields of the splitting field of $$f(x)$$ over $${\mathbb{Q}}$$.
Part a:
• A finite extension $$E/F$$ is Galois if it is normal and separable:
• Normal: every $$f\in F[x]$$ either has no roots i... | {
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"openwebmath_score": 0.9997151494026184,
"tags":... |
spectra
Some spectra are complicated and can have both! For example, quasars can have emission spectra with "intervening" absorption lines due to either intervening interstellar gas in our galaxy or due to intergalactic gas along the line of sight to the quasar.
Wolf-Rayet stars are a complicated phenomenon. They are ... | {
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} |
ros, calibration, kinect, camera-info-manager, camera-calibration
Originally posted by Patrick Mihelich with karma: 4336 on 2012-01-20
This answer was ACCEPTED on the original site
Post score: 2 | {
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"tags": "ros, calibration, kinect, camera-info-manager, camera-calibration",
"url": null
... |
lidar, turtlebot, ros-kinetic, ros-hydro, scan
what sort of issues are you referring to here?
rostopic echo not displaying 'nice' numbers is not really an issue.
Comment by Lando on 2018-03-27:
Indeed, the noise is far worse than the floating point precision, it is not about just 'nice' numbers. The problem is that I ... | {
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"tags": "lidar, turtlebot, ros-kinetic, ros-hydro, scan",
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} |
javascript, object-oriented, ecmascript-6
input[type=number] {
-moz-appearance: textfield;
}
<div class="flex">
<div class="container-slider">
<div class="slider-background">
<span class="slider-btn slider-min active"></span>
<span class="slider-btn slider-max"></span>
</div>
<div class="sl... | {
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"tags": "javascript, object-oriented, ecmascript-6",
"url": null
} |
python, game, python-2.x
if i % self.ratio['update'] == 0:
self.update()
self.score = self.dims[0]-1-min(self.scorea)
if self.score > 15 and self.y > self.dims[0]-5:
self.screen.clear()
self.screen.addstr(self.dims[0]/2-1,self... | {
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"tags": "python, game, python-2.x",
"url": null
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quantum-mechanics, quantum-entanglement, fermions, wavefunction-collapse, exchange-interaction
Therefore eventhough there is a difference in the maths between $\phi_A(r_1)$ and $\phi_A(r_2)$ - the former has particle with Hilbert space 1's spatial state being $\phi_A$, the latter has particle with Hilbert space 2's sp... | {
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"tags": "quantum-mechanics, quantum-entanglement, fermions, wavefunction-collapse, exchange... |
opencv, ros-indigo
Title: Opencv no rule to make target
I am trying out the example to convert ros image to opencv image from here. I am creating a new package roscv_conv and using a zed camera with ros indigo, on a Jetson tx1, to get this done (I will probably have to edit the topic being subscribed to , given in th... | {
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superconductivity, fermions, bose-einstein-condensate, bosons
[3] R.D. Mattuck, A Guide to Feynman Diagrams in the Many-Body Problem, 2nd Edition. It is the draft version of the answer. It will be upgraded (if needed)
First of all, when you perform Bogoliubov transformation, you just choose a correct vacuum of theory... | {
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} |
machine-learning, math, decision-trees, id3-algorithm
Title: What is the intuition behind the entropy formula used in the ID3 algorithm? What is the intuition behind the following entropy formula used in the ID3 algorithm?
$$
\text{info}(D) = -\sum_{i=1}^m p_i \log_2(p_i)
$$ Please, take a look at Understanding Shanno... | {
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> $\mathrm{Number}\left(\mathrm{MultiCombination}\left(\left[\mathrm{}\left(4,10\right)\right],4\right)\right)$
${715}$ (1)
Suppose one is allowed to choose any entree no more than twice. This can be expressed as
> $M≔\mathrm{MultiCombination}\left(\left[\mathrm{}\left(2,10\right)\right],4\right):$
There are 615 w... | {
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"tags": n... |
ros
I have seen this on a few different computers, and the problem for me has always been graphics drivers. I'm not sure about your setup, but I was able to fix one (18.04, NVIDIA GTX 980) by switching to NVIDIA drivers, instead of using the default Ubuntu driver (Nouveau). I don't remember the specific steps (e.g.,... | {
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you can easily convert to the fourier series of the original function. (US) IPA(key): /ˈsɪɹiz/, /ˈsiɹiz/. Again, using MathView to handle the detailed manipulation allows Let's have a look at a simple notebook example where the Fourier series approximates a unit step function at x=0 and calculate the coefficients. By u... | {
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"openwebmath_score": 0.8784337043762207,
"tags": null... |
ros, rviz, frame, ros-kinetic, frames
Names are case-sensitive in ROS, so RViz is correct: there is no base_sonarF frame.
Suggestion: never use capitals in any names names of TF frames, links, joints, parameters, launch files, C++/Python/something else source files, and some others in ROS. The wiki/Names page states ... | {
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"tags": "ros, rviz, frame, ros-kinetic, frames",
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} |
python, python-3.x, validation, error-handling, deque
Title: Take in 10 numbers, validate each input, append then in a list and then prints the sum of the list values I'm practicing loops in Python and started trying to have a better approach with user inputs, is there better ways of dealing with inputs when coding?
A... | {
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"tags": "python, python-3.x, validation, error-handling, deque",
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} |
unit-testing, asynchronous, swift, timer, extension-methods
waitForExpectationsWithTimeout(10, handler: nil)
}
But problematically, this test can fail for two reasons:
The user wasn't successfully logged in.
The expectation wasn't fulfilled in the time limit.
If the test fails, we can't be sure whether it would hav... | {
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"tags": "unit-testing, asynchronous, swift, timer, extension-methods",
"url": null
} |
newtonian-mechanics, projectile, drag, aerodynamics
Cases 1 and 2 are single disks with radius $R=\sqrt{\frac{A}{\pi}}$, so their moment of inertia is
$$I_1=I_2=\frac{MR^2}{4}=\frac{MA}{4\pi}$$
Case 3 (make a dumbbell)
The radius of the disks in case 3 are such that $2\pi R^2=A$, so $R=\sqrt{\frac{A}{2\pi}}$ in this c... | {
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"tags": "newtonian-mechanics, projectile, drag, aerodynamics",
"url": null
} |
quantum-gate, circuit-construction, quantum-circuit
If $q_0$ is in $|1\rangle$, the controlled-not applies $X$ on $q_1$. Hence, the net sequence is
$$
R_Y(-\pi/4)XR_Y(\pi/4).
$$
You could just multiply this out. Alternatively, use commutation relations:
$$
R_Y(\theta)X=XR_Y(-\theta).
$$
Thus, the net gate is
$$
XR_Y(\... | {
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electrostatics, electric-fields, gauss-law
We can see, if $k\ge 1$, that the conditions upon $\rho$ guarantee that the derivatives $\frac{\partial\varphi}{\partial x_0}$, $\frac{\partial\varphi}{\partial y_0}$ and $\frac{\partial\varphi}{\partial z_0}$ all exists, are, for almost all $\boldsymbol{x}\in\mathbb{R}^3$, c... | {
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} |
ros, turtlebot, message
Originally posted by ahendrix with karma: 47576 on 2014-10-30
This answer was ACCEPTED on the original site
Post score: 2
Original comments
Comment by Kaori Furuike on 2014-10-30:
You're right. The program exit if I push q 2-3 times and then push enter.
I'll study about the terminal input. Th... | {
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} |
thermodynamics, black-holes, thermal-radiation, hawking-radiation, black-hole-firewall
We have, after all, stipulated that the falling object is a good absorber of radiation, and (from our outside observation point) the falling object remains forever outside of the event horizon. We have already decided that the appar... | {
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"tags": "thermodynamics, black-holes, thermal-radiation, hawking-radiation, black-hole-fire... |
thermodynamics, general-relativity, black-holes, reference-frames, observers
I don't know how to prove this in the general case, but the above should demonstrate the possibility that a similar argument might hold (i.e. the energy and the characteristic length of a system transform in opposing ways). | {
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"tags": "thermodynamics, general-relativity, black-holes, reference-frames, observers",
"... |
homework-and-exercises, electrostatics, electric-fields, potential-energy
Unfortunately, the textbook has not taught me how to actually do this sort of question, as I only know that $V = ΔU/q$ which is about energy not distance. Using my own inference, I took the potential difference to be the area under the field-dis... | {
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"url... |
c++, object-oriented, socket, callback, tcp
connected_ = true;
if (connectfunc_) {
connectfunc_();
}
}
// Read event
if (events.lNetworkEvents & FD_READ)
{
// No need to keep reading, will get a new event for any data not read
... | {
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"tags": "c++, object-oriented, socket, callback, tcp",
"url": null
} |
python, python-3.x, interpreter
number = /\d+/;
mul_div = mul | div | number;
mul = lhs:number "*" rhs:mul_div;
div = lhs:number "/" rhs:mul_div;
add_sub = add | sub | mul_div;
add = lhs:mul_div "+" rhs:add_sub;
sub = lhs:mul_div "-" rhs:add_... | {
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} |
ros, remote-roscore, rostopic
Title: how to publish/subscribe with remote roscore?
Current setup:
roscore running on my remote server ( a virtual private server ) VPS
Machine A and B are connected to internet
Machine A publishes a topic "test_topic"
Result:
Machine A can subscribe to the topic using rostopic echo ... | {
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} |
python
def settle_total_bet(side, points, price, bet_amount, home_score, away_score):
'''Returns Net result of the bet on total'''
outcome = determine_total_bet_outcome(side, points, home_score, away_score)
if outcome == 'Won':
return bet_amount * (price - 1)
elif outcome == 'Half Won':
... | {
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beginner, haskell, security, random
Compare this to the new version:
k * (log (n)) -- for every character insert a character into a map
+ n -- get the length once(!)
+ n * log (n) -- create a map once(!)
+ 2 * n -- zip the map and zip it back
So this would be a way to impro... | {
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"tags": "beginner, haskell, security, random",
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c++, object-oriented, c++17
Quite expensive if it is not eual.
You don't need to call normalize three times!! Call it once at the end of the operation (if you must). I would not bother (unless there is some overflow issue).
PS. You missed the inline here.
template <typename T>
fraction <T>& fraction <T>::operator += ... | {
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photons, atomic-physics, diffraction, x-rays, rydberg-states
Moseley’s Law and the Determination of the Rydberg Constant
X-rays can also be absorbed. This is essentially due to the ionization of atoms, which release an electron from an inner shell, e.g. the $K$-shell, when an x-ray photon is absorbed. The transmission... | {
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"tags": "photons, atomic-physics, diffraction, x-rays, rydberg-states",
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we doing! Be true for convergent series and its value can be used ) the series terms must go to zero series! A requirement for convergence but not a guarantee of convergence you ’ ll see an of... Then we can use these two partial sums to determine if the sequence of sums! Two separate values of this in the limit of the... | {
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"openwebmath_score": 0.9249815940856934,
"tags": null,
... |
navigation, rviz, robot-localization
For anyone looking here for a really nice way to debug the controller... Sorry, I've got nothing for you. Here's what I ended up doing.
Our global position data was provided by ORB VSLAM 2, and it was good enough to be fused directly with IMU and wheel odometry data in robot_locali... | {
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The results seen in Example5.89 generalize nicely. For instance, if $f$ is decreasing on $[a,b]\text{,}$ $L_n$ will overestimate the exact value of $\int_a^b f(x) \,dx\text{,}$ and if $f$ is concave down on $[a,b]\text{,}$ $M_n$ will overestimate the exact value of the integral. An excellent exercise is to write a coll... | {
"domain": "unl.edu",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9895109084307415,
"lm_q1q2_score": 0.8525014562618984,
"lm_q2_score": 0.8615382094310355,
"openwebmath_perplexity": 333.4462961604561,
"openwebmath_score": 0.9525200128555298,
"tags": null,
... |
Thus, similar to the zero padding case, we can get the desired result by sampling the even terms from the $N$ point DFT of $\tilde{x} = [x \; x]$.
#### Notes
Not surprisingly, we have derived the dual of the upsampling result. When we interlaced the input sequence with zeros, it ended up creating a replica in spectra... | {
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"id": null,
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9845754483707558,
"lm_q1q2_score": 0.8183230451824453,
"lm_q2_score": 0.831143054132195,
"openwebmath_perplexity": 739.886291870268,
"openwebmath_score": 0.6705610752105713,
"tags": n... |
filters, processing-gain
My inputs are exponentially decaying pulses of the form sampled every n
I want to express y[n] as a function of the pulse amplitude A (which I need to retrieve), and the constants , L, and K.
Any hints would be greatly appreciated
Edit:
I followed Andy Walls' advice and this is what I get
$$H... | {
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"id": 6910,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "filters, processing-gain",
"url": null
} |
python, protein-structure, biopython
Title: How can I get a list of neighboring Hydrogen atoms of an alpha-carbon? Suppose, I want to find the neighboring Hydrogen atoms of a specific C-alpha atom.
The following was my effort. However, it produces a bunch of empty lists.
from typing import List
from Bio.PDB import Cha... | {
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"id": 1994,
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"openwebmath_score": null,
"tags": "python, protein-structure, biopython",
"url": null
} |
c++, algorithm, security, cryptography, aes
return sbox[x][y];
} | {
"domain": "codereview.stackexchange",
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c++, algorithm, security, cryptography, aes",
"url": null
} |
c++, sdl, visual-studio
SpriteFrame(SDL_Texture* texture, const float time, SDL_Rect* sourceRect)
: Texture(texture), Time(time), SourceRect(sourceRect)
{
}
};
std::vector<std::unique_ptr<SpriteFrame>> m_frames;
4: Is there any point of a unique_ptr in a namespace class other than showing ownership... | {
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"tags": "c++, sdl, visual-studio",
"url": null
} |
where A, B, and C are the constants to be determined. If, transform of each term in Equation. This has the inverse Laplace transform of 6 e −2t. These properties allow them to be utilized for solving and analyzing linear dynamical systems and optimisation purposes. Inverse Laplace transform is used when we want to conv... | {
"domain": "wolfpacknyc.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9572778000158575,
"lm_q1q2_score": 0.8383714508542798,
"lm_q2_score": 0.8757869981319863,
"openwebmath_perplexity": 11396.313708180473,
"openwebmath_score": 0.7313063144683838,
"tags... |
c#
Title: Boolean naming convention I have a class that stores the data related to all employees in a particular department.
In this class, I am having a list of employees and other fields.
Also, I am having a property which returns a bool, indicating whether an employee exists or not. I am a bit confused regarding t... | {
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"id": 4472,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c#",
"url": null
} |
we will now show that every linear transformations fromFn to Fmis a matrix linear transformation. Ohio OER Linear Algebra; About this Project. In particular, if V = Rn, Cis the canonical basis of Rn (given by the columns of the n nidentity matrix), T is the matrix transformation ~v7! A~v, and B= f~v 1;:::;~v. (d) Find ... | {
"domain": "puntoopera.it",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9891815516660637,
"lm_q1q2_score": 0.8155425233563044,
"lm_q2_score": 0.8244619220634456,
"openwebmath_perplexity": 369.9796243537065,
"openwebmath_score": 0.8836857080459595,
"tag... |
# Subsection1.4.6Project—Numerical Routines for solving ODEs¶ permalink
Not all differential equations can be solved using algebra and calculus even if we are very clever. If we encounter an equation that we cannot solve or use Sage to solve, we must resort to numerical algorithms like Euler's method or one of the Run... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9904406009350775,
"lm_q1q2_score": 0.8050967947595309,
"lm_q2_score": 0.8128673178375735,
"openwebmath_perplexity": 437.3318428888874,
"openwebmath_score": 0.9919545650482178,
"tags": null... |
-
Spoiler: take a look at one of the comments given. $\^\smile\^$ – FrenzY DT. Dec 4 '12 at 16:10
complex numbers indeed! fantastic how it all connects! Would that make R^2 a field and a vector space? – vondip Dec 4 '12 at 16:11
Yes, it would, because addition in $\mathbb{R}^2$, as @DonAntonio defines it, is component ... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9820137937226358,
"lm_q1q2_score": 0.8423401144861535,
"lm_q2_score": 0.8577681086260461,
"openwebmath_perplexity": 350.68074438278023,
"openwebmath_score": 0.9188204407691956,
"ta... |
quantum-chemistry, density-functional-theory
Title: Global reactivity parameters from open shell DFT calculations using Koopman's theorem Koopmans' theorem is a useful approach to calculate the global reactivity parameters from the HOMO-LUMO energies. My question is, does it apply to the open-shell systems where we ge... | {
"domain": "chemistry.stackexchange",
"id": 12564,
"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": "quantum-chemistry, density-functional-theory",
"url": null
} |
electromagnetism, maxwell-equations, aether
There are elementary reasons that term #2 has to exist. For example, suppose you have a circular, flat Amperian surface $S_1$ and you shoot a single charged particle perpendicularly through its center. In this situation, Maxwell's equations without term #2 predict that the m... | {
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"id": 7690,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "electromagnetism, maxwell-equations, aether",
"url": null
} |
homework-and-exercises, newtonian-mechanics, forces, work, friction
a. The first part is ignoring static friction. How would I calculate the work of this? Meaning, what would be the distance to use if I knew the static coefficient of friction? Or is it negligible?
b. In the second part, why is the sliding distance onl... | {
"domain": "physics.stackexchange",
"id": 94538,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "homework-and-exercises, newtonian-mechanics, forces, work, friction",
"url": nul... |
exp-time-algorithms, boolean-formulas, fine-grained
Title: The problem of deciding whether a monotone CNF implies a monotone DNF Consider the following decision problem
Input: A monotone CNF $\Phi$ and a monotone DNF $\Psi$.
Question: Is $\Phi \to \Psi$ a tautology? | {
"domain": "cstheory.stackexchange",
"id": 4452,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "exp-time-algorithms, boolean-formulas, fine-grained",
"url": null
} |
r
# 3 RFG Buy 2015-03-17 7.4900 640 FULL 640
# 4 RFG Buy 2015-06-04 5.9800 870 FULL 870
# 6 RFG Sell 2015-07-01 5.4286 1510 FULL 1510
# 5 RFG Buy 2015-09-29 4.2000 700 0 0 | {
"domain": "codereview.stackexchange",
"id": 20108,
"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": "r",
"url": null
} |
javascript, jquery, plugin
{ name: "scaleX", type: functionParamTypes.number},
{ name: "scaleY", type: functionParamTypes.number},
{ name: "scaleZ", type: functionParamTypes.length},
{ name: "skew", type: functionParamTypes.angle },
{ name: "skewX", type: func... | {
"domain": "codereview.stackexchange",
"id": 6455,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "javascript, jquery, plugin",
"url": null
} |
python, performance, array, datetime, numpy
clock_ticks_fine = np.array([ 36, 1, 11, 22, 39, 66, 71, 78, 107, 121, 137, 142, 163,
190, 211, 212, 239, 246, 36, 7, 13, 47, 56, 73, 78, 110,
128, 143, 146, 175, 192, 203, 204, 239, 36, 0, 13, 19, 43,
58, 74, 81, 111, 130, 139, ... | {
"domain": "codereview.stackexchange",
"id": 17219,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, performance, array, datetime, numpy",
"url": null
} |
Geometry Problem — Find the area of the circle
Points $A, B, C, D$ are on a circle such that $AB = 10$ and $CD = 7$. If $AB$ and $CD$ are extended past $B$ and $C$, respectively, they meet at $P$ outside the circle. Given that $BP = 8$ and $∠AP D = 60º$, find the area of the circle.
Based on the information, I came up... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9840936045561287,
"lm_q1q2_score": 0.8364512036315934,
"lm_q2_score": 0.849971181358171,
"openwebmath_perplexity": 179.37353801893138,
"openwebmath_score": 0.8088542222976685,
"tag... |
beginner, haskell, recursion, combinatorics
This also kind of makes sense: every element of the resulting list has length n and there are (length r) ^ n such elements. Since (length r) ^ 0 = 1, I would expect one element of length 0 in the resulting list.
You can also use the ... <$> ... <*> ... pattern here, then you... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "beginner, haskell, recursion, combinatorics",
"url": null
} |
thermodynamics, thermal-radiation, equilibrium
Title: Why must black bodies in thermal equilibrium emit the amount of radiation absorbed? I'm studying black bodies for IB Physics and I'm having trouble understanding the full concept of black body radiation. I understand that a black body in thermal equilibrium with it... | {
"domain": "physics.stackexchange",
"id": 32870,
"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": "thermodynamics, thermal-radiation, equilibrium",
"url": null
} |
So, isn't it possible to customize a function so that $E_{T_n} < E_{M_n}$ for a particular n? Could we even make a function so that $E_{T_n} < E_{M_n}$ $\forall n$?
• For a particular $n$, absolutely: that's equivalent to doing it for $n=1$ and replicating the function across multiple intervals. Just consider any func... | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.986777179803135,
"lm_q1q2_score": 0.8555710933702467,
"lm_q2_score": 0.8670357512127872,
"openwebmath_perplexity": 194.42908696013507,
"openwebmath_score": 0.9835159182548523,
"tag... |
particle-physics, pions, isospin-symmetry
$$\frac{1}{\sqrt{10}}|30\rangle +\frac{1}{\sqrt{3}}|20\rangle +\frac{\sqrt{5}} {\sqrt{15}}|10\rangle -\frac{ 1} {\sqrt{15}}|10\rangle ' -\frac{1}{\sqrt{6}}|00\rangle ,$$
where the isovector states $|10\rangle$ and $|10\rangle'$ are orthogonal to each other and the other states... | {
"domain": "physics.stackexchange",
"id": 72496,
"lm_label": null,
"lm_name": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "particle-physics, pions, isospin-symmetry",
"url": null
} |
it is sparse. one and two dimension heat equations. m This is a buggy version of the code that solves the heat equation with Forward Euler time-stepping, and finite-differences in space. Active 3 years, 7 months ago. Heat Equation with periodic-like boundary conditions. Look at a square copper plate with: #dimensions o... | {
"domain": "fraggo.it",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9845754492759498,
"lm_q1q2_score": 0.8204709378220344,
"lm_q2_score": 0.8333245953120233,
"openwebmath_perplexity": 727.0711570699918,
"openwebmath_score": 0.7068103551864624,
"tags": null... |
c#, asp.net-core, ddd, entity-framework-core
[NotMapped, Required]
public PlayerInfo ActiveInfo { get; set; } // setter must be public to allow deserialization (or use custom resolver for json net)
[JsonIgnore]
public ICollection<PlayerInfo> PlayerInfos { get; set; } = new HashSet<PlayerInfo>();
priv... | {
"domain": "codereview.stackexchange",
"id": 30576,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c#, asp.net-core, ddd, entity-framework-core",
"url": null
} |
javascript, array
Title: Filter objects out of an array in JS I have an array of objects arr. One object looks like this:
obj = {
name: 'name'
email: 'email'
}
And then I have an array with strings (emails)
var excludedEmails = ['email1','email2',...]
I want to filter the excluded emails out of the arr.
Is th... | {
"domain": "codereview.stackexchange",
"id": 27797,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "javascript, array",
"url": null
} |
python, strings, python-3.x
def random_keyword():
keyword = ''.join(random.choice(string.ascii_lowercase)
for _ in range(random.choice([3, 4])))
print("keyword: {}".format(keyword))
print("*Approved*\n" if keyword in accepted_keywords else "Denied\n")
Finally, Python has an official ... | {
"domain": "codereview.stackexchange",
"id": 29024,
"lm_label": null,
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"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, strings, python-3.x",
"url": null
} |
nuclear-physics, radioactivity, half-life
The reason why we had any radioactive elements to start out with is that the solar system formed from a cloud of dilute gas which contained debris from an exploded supernova. In the violence of a supernova explosion smaller nuclei can be slammed together so hard that they fus... | {
"domain": "physics.stackexchange",
"id": 91244,
"lm_label": null,
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"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "nuclear-physics, radioactivity, half-life",
"url": null
} |
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