text stringlengths 49 10.4k | source dict |
|---|---|
quantum-computing
Title: Why does 9 qubit Shor code have distance 3? Distance of a Stabilizer code($S$) is defined by minimum weight of an element in $N(S)-S$ .
Why 9 qubit Shor code has distance 3?
Is there a way to directly see $N(S)-S$ from $S$? Another way to see this is by using $$\frac{N(S)}{S} \cong P_k $$
Her... | {
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ros, timestamp, ueye-cam
<node pkg="camera" type="timeshift.py" name="timeshift" args="/$(arg camname)/image_raw_old /$(arg camname)/image_raw" />
</launch>
Originally posted by Falko with karma: 268 on 2016-02-29
This answer was ACCEPTED on the original site
Post score: 0 | {
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"url": null
} |
digital-communications, self-study, probability
$$\Pr\left[\left(\alpha_2-\gamma \alpha_1\right)|h|^2\beta>\gamma\right].$$
I have understood the steps until here. The final expression obtained is
$$\begin{cases}
e^{\frac{\gamma}{\alpha_2-\gamma\alpha_1}\frac{1}{\beta\sigma^2}}, & \text{for }\gamma<\frac{a_2}{a_... | {
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"url": null
} |
general-relativity, reference-frames, inertial-frames, equivalence-principle, tidal-effect
Title: Will tidal effect make physics laws different? I was reading Wheeler & Taylor's Spacetime Physics. The authors mentioned about tidal effect, as well as all physics laws are same in free-float frame.
I am left wondering if... | {
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"tags": "general-relativity, reference-frames, inertial-frames, equivalence-principle, tida... |
angular-momentum, integration, rigid-body-dynamics, angular-velocity
Title: Integrating rigid body equations for a game engine simulation I'm a mechanical engineer who's trying to implement a physics engine for a 3D game simulation, so I apologize for being incorrect or simply ignorant of some aspects of computation. ... | {
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"tags": "angular-momentum, integration, rigid-body-dynamics, angular-velocity",
"url": nu... |
matlab, signal-analysis, continuous-signals, signal-detection, hilbert-transform
Title: Signal reconstruction in FMCW radar I am doing fmcw radar simulation. I have an output of mixer and from that I want to reconstruct the amplitude and phase of the signal. Therefore, I am taking hilbert transform and by the abs() an... | {
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quantum-mechanics, atomic-physics
It can't. The dimension of the state space that describes the atom is fixed, and adding an interaction cannot change it.
On the other hand, your construction does rest on the assumption that it is only those two states that are relevant to the evolution. If that assumption fails (whi... | {
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performance, vba, excel
End If
Next
End If
Application.ScreenUpdating = True
Application.CutCopyMode = False
End Sub I think apart from the performance your code also has some other issues. Let me first come to the most problematic, then make some suggestions regarding the performance, and finally make some general ... | {
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"tags": "performance, vba, excel",
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homework-and-exercises, projectile, relative-motion, kinematics
Title: Time variation of the distance between two falling objects I have solved this question below from my textbook. My answer differs from the one given in the book. I have tried my best to see where I am wrong. I need your help to find the truth of thi... | {
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"tags": "homework-and-exercises, projectile, relative-motion, kinematics",
"url": null
} |
game-ai, minimax, alpha-beta-pruning
Here are the current stats it is reaching for search depth of 4 at the first step:
Timing minimax algorithm: 1.706175 seconds
Number of nodes in that compose the tree: 2850
. . . . . . . . . . . . . . . . . . . 00
. . . . . . . . . . . . . . . . . . . 01
. . . . . . . . . . . . .... | {
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"tags": "game-ai, minimax, alpha-beta-pruning",
"url": null
} |
fft
I primarily did this way since I was lazy. We can make this a lot more hardware friendly by using circular addressing, e.g. for base 1024, we would count 1021, 1022, 1023, 0, 1 ,2 ... Since all the bases are a power of two, that can be implement with a simple bit-wise and with n-1.
We can also make use of the fact... | {
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matlab, fft, sampling, dft
The plot below shows the magnitudes of the CTFT and its approximation by the DFT, as well as the magnitude and phase approximation errors. | {
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"tags": "matlab, fft, sampling, dft",
"url": null
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slam, navigation, rosbag
Title: RGBDslam:negative mahalanobis distance
Hi all,
I try to use rgbdslam for my dataset consisting out of depth and rgb images saved as png.
To make my live easy I tried to write a bag file from these images and then use this bagfile for the rgbdslam. But when I start the reconstruction I ... | {
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c#, graph, pathfinding, memory-optimization
closed.Add(u);
foreach ((var v, var x) in g.Edges(u))
{
if (closed.Contains(v)) continue;
var relaxed = add(w, x);
if (!q.ContainsKey(v)) q.Add(v, relaxed);
else if (relaxed.CompareTo(q[v]) < 0) q.Update(v, r... | {
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"tags": "c#, graph, pathfinding, memory-optimization",
"url": null
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javascript, performance, mathematics
is identical to...
return (number - oldMin) * (newMax - newMin) / (oldMax - oldMin) + newMin;
To further remove code noise use an arrow function and shorten the argument names
const rescale = (val, oMin, oMax, min, max)=>(val - oMin) * (max - min) / (oMax - oMin) + min;
Optimizat... | {
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"tags": "javascript, performance, mathematics",
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WWGD
Gold Member
I'm actually not sure how to show that ##\inf(S) = 0##. Does it go something like this?
1) 0 is a lower bound. Since clearly ##\forall n \in \mathbb{N}##, ##0 \le \frac{1}{n}##.
2) Let ##b## be a lower bound for ##S##. Then ##\forall n \in \mathbb{N}##, ##b \le \frac{1}{n}##........ This is where I'm ... | {
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"t... |
I understand how to find the surface area, but I'm not quite sure what it means by "in terms of pi" Could someone please explain? the base diameter of the cylinder is 4 in. The surface area of an ellipsoid can be determined by using the following formula: where ab, ac and bc are the distances from its origin to its sur... | {
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"lm_q1q2_score": 0.8192834437053157,
"lm_q2_score": 0.8267118026095991,
"openwebmath_perplexity": 308.41166479484474,
"openwebmath_score": 0.88576340675354,
"tags": nul... |
homework-and-exercises, electromagnetism
the increasing relative strength of the $z$ component of the
electric field (due to a charge element)
the decreasing magnitude of the electric field
It follows that there must be a maximum in the $z$ component and it is reasonable to expect that the maximum is when $z$ becomes... | {
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"url": null
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javascript, php, jquery, css, ajax
Title: Creating new CSS element everytime database updates I have created a function using jQuery Ajax which create a new CSS element whenever I update the database using a form.
Is it ok? If not, hat can be the best method to do it?
$(document).ready(function(){
$('#statusupdat... | {
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graph-theory, lower-bounds, hypergraphs
Each row in the cube (in any of the three directions) has exactly 2 or 0 points.
If two points are in the same row (any of three), connect them with an edge. The subset must be connected by these edges.
It is easy to build such a set which is $\Omega(n)$, for instance a stairca... | {
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"tags": "graph-theory, lower-bounds, hypergraphs",
"url": null
} |
orbit, planet, gravity, orbital-mechanics, johannes-kepler
Title: Why do planets' orbital velocities drop off by less than a third when twice as distant from the sun, rather than three-quarters? If gravity is $1/4$? Looking at the speeds of the planets in our solar system when traveling around the sun and their distan... | {
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"tags": "orbit, planet, gravity, orbital-mechanics, johannes-kepler",
"url": null
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ros, ar-track-alvar
Originally posted by JoaoPedro on ROS Answers with karma: 33 on 2016-06-16
Post score: 0
Original comments
Comment by jayson on 2016-09-05:
Have you figured out this? Did you figured out how to use marker_size parameter? Please share it. thanks.
By default ALVAR markers have a size of 1. What thi... | {
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python, performance, programming-challenge, primes
Python has a simpler for var in iterable syntax that lets you get the values directly, which is more efficient.
for i in primes:
if attempt % i == 0:
But rather than using a for loop at all you can use all. It employs short circuiting and will immediately stop it... | {
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"tags": "python, performance, programming-challenge, primes",
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quantum-field-theory, path-integral, integration, matrix-model, large-n
$A_\mu$ transforms as a covector under spacetime coordinate transformations (in particular Lorentz transformations). $A_\mu$ are the components of the one-form $A = A_\mu \mathrm{d}x^\mu$. This is the meaning of the one-form part of the italic tex... | {
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"tags": "quantum-field-theory, path-integral, integration, matrix-model, large-n",
"url":... |
units
Title: Units of Hubble Time and Hubble Constant? When we have Hubble constant and it's inverse Hubble Time (1/H) what units are they measured in? I know Hubble constant is in "km/s per Mpc" but is there any other units which are popular used with it, and if so is there any conversion between the two?
And would H... | {
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python, object-oriented, sql, playing-cards, postgresql
# Now the dealer's turn to play ...
while True:
self.dealer.play()
if self.dealer.is_busted() or self.dealer.is_standing():
break
self.close()
def display_info(self):
clear_console()
pr... | {
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time-complexity, lambda-calculus
Title: Equivalent formulation of complexity theory in Lambda Calculus? In complexity theory the definition of time and space complexity both reference a universal Turing machine: resp. the number of steps before halting, and the number of cells on the tape touched.
Given the Church-Tur... | {
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"tags": "time-complexity, lambda-calculus",
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# Chapter 8 Review Laws of Exponents. LAW #1 Product law: add the exponents together when multiplying the powers with the same base. Ex: NOTE: This operation.
## Presentation on theme: "Chapter 8 Review Laws of Exponents. LAW #1 Product law: add the exponents together when multiplying the powers with the same base. Ex... | {
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"openwebmath_score": 0.9551640748977661,
"ta... |
python, performance, array, excel, random
companyissueid = ['3001', '3002', '3003', '3011','3012', '3013','3021','3022','3023','1001','1002','1003','1011','1012','1013','1021','1022','1023','2001','2002','2003','2011','2012','2013','2021','2022','2023']
companyissuecat = ['Test1', 'Test2', 'Test3', 'Test4', 'Test5', '... | {
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r, cross-validation
-2.30960460962945, -1.11690418809942, 0.296611889529358, 0.992033628272787,
-0.769290105905667, -1.4112664763812, 0.972758797977034, 0.680563892580633,
0.0312007101558726, 2.40109797772769, 0.27149586035907), x4 = c(2.87744884192944,
2.97037391737103, 2.04590974515304, -2.09065303439... | {
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"tags": "r, cross-validation",
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} |
array, assembly
Params:
; ESP+4 - Array pointer
; ESP+8 - Array length
At first glance this felt wrong. Rest assured it's correct, but the mention of something relative to ESP always only makes sense when it's absolutely clear where ESP is pointing to. I would have preferred it like:
Params:
; 1st param - Array... | {
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general-relativity, metric-tensor, notation, action, diffeomorphism-invariance
$$= \left( g_{\mu\nu}(x) +\, \xi^\sigma \partial_\sigma g_{\mu\nu}(x) +\, g_{\mu\sigma} \partial_\nu \xi^\sigma +\, g_{\nu\sigma} \partial_\mu \xi^\sigma\,+\,... \right) \mathrm dx^\mu \mathrm dx^\nu \tag{ 3}$$
where the dots are just high... | {
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"tags": "general-relativity, metric-tensor, notation, action, diffeomorphism-invariance",
... |
java, parsing, datetime
Title: Parsing a string to a java LocalTime I have a method that can take in a time string in one of the following formats:
HHmmss - e.g. 073055 = 07:30:55
HHmm - e.g. 0730 = 07:30:00
HHmm'H - e.g. 0730H = 07:30:30
a whitespace or empty string - return null
My current code is as follows:
priv... | {
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python, tk
from tkinter import *
Quoting from PEP8:
Wildcard imports (from import *) should be avoided, as they make it unclear which names are present in the namespace, confusing both readers and many automated tools.
I guess you do this because you're using many classes from this module.
A better way would be to... | {
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exoplanet
Title: What's the difference between an exoplanetary transit and eclipse? This article states
Their data contained eclipses for all 25 exoplanets, and transits for 17 of them.
This page from NASA explains the difference between an eclipse and a transit:
Like an eclipse, a transit occurs when one object ap... | {
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where the infimum is taken over all (finite) representations $\omega = \sum x_i \otimes y_i$ as sum of elementary tensors. It is quite obvious that $\|\cdot\|_{\pi}$ is a semi-norm on $X \otimes Y$ satisfying $\|x \otimes y\|_{\pi} \leq \|x\|_{X} \|y\|_{Y}$. A bit more work shows that actually $\|x \otimes y\|_{\pi} = ... | {
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"openwebmath_perplexity": 105.66784425053731,
"openwebmath_score": 0.9821072220802307,
"tag... |
$\overline{u}=2\stackrel{^}{j}+\stackrel{^}{k}$
Let $x=10\phantom{\rule{1ex}{0ex}}\text{and}\phantom{\rule{1ex}{0ex}}y=0$
$-3\left(10\right)+2\left(0\right)-4z=-58$
$-4z=-28$
$z=7$
The vector from point $\left(6,0,10\right)$ to the point $\left(6,0,7\right)$ is:
$\overline{v}=4\stackrel{^}{i}-3\stackrel{^}{k}$
A vector... | {
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A: sin(1/(z^2+9)) is analytic everywhere except at z=3i or z=-3i. The function sin(1/(z^2+9)) doesn't have any limit as z tends to 3i (or to -3i).
By a theorem we proved in class, this means that the Taylor series around any point converges on the largest disc around that point which doesn't contain neither 3i
nor -3i... | {
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"lm_q2_score": 0.853912760387131,
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"openwebmath_score": 0.9511043429374695,
"tags":... |
fluid-dynamics, flow, viscosity, bernoulli-equation, turbulence
flow must be steady
flow must be incompressible
flow must be inviscid
flow is reversible
the equation is applied along a streamline
A turbulent flow violates several of these requirements.
Firstly, as mentioned above, turbulent flows are always viscous. ... | {
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"tags": "fluid-dynamics, flow, viscosity, bernoulli-equation, turbulence",
"url": null
} |
rotation, movement, transformation, matrix, coordinate-system
0 & 0 & 0 & 1\\
\end{bmatrix}
$$
As seen, the first column and 4th conform with the results that we got. However, I am not really sure what the mathematical way to follow using the third calibration point to calculate the rest of the transformation matrix t... | {
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"tags": "rotation, movement, transformation, matrix, coordinate-system",
"url": null
} |
$7n-3m=10$ Solve to get $m=20, n=10$
So $x=67$
And a solution to our original equation is $x\equiv67$ $(mod$ $21)$
Is this all the solutions or am I missing some? If so, where is te error in my method preventing me from obtaining the others?
Thanks in advance for the help.
• Oct 18th 2010, 07:26 AM
Soroban
Hello, I-T... | {
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"ta... |
The figure below shows the acceleration as a function of time for an object. (a) If the object starts from rest at t = 0, what is the velocity of the object as a function of time?
4. ### physics
In this problem you will determine the average velocity of a moving object from the graph of its position as a function of t... | {
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"openwebmath_score": 0.5352623462677002,
"tags": ... |
f#, async-await, tcp
Title: Tcp server messenger awaiter in f# Hi I have a simple tcp server, and that server receives messages with specific length so basically i need to wait for TcpClient to fill buffer with that amount of data, and it works.
But I am not sure if this should look like it looks as I am writing this... | {
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"tags": "f#, async-await, tcp",
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comparative-review, scala
You'll note that I don't use :: or Nil. Your code indicates some confusion between Seq operations like +:, and List operations using :: and Nil.
Seq is a trait so it's not really a concrete collection type, more like an interface of methods common to multiple real collections such as List and... | {
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"tags": "comparative-review, scala",
"url": null
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electrons, energy-conservation, atomic-physics, orbitals
Title: The unanswered question: Where do electrons get their ever-lasting circulating energy? This question has been asked by many others like me, and in so many forums as well as here, and answered by many as well, and I still do not find the answer. The questi... | {
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"tags": "electrons, energy-conservation, atomic-physics, orbitals",
"url": null
} |
# Calculate the following integral
$$\int_{[0,1]^n} \max(x_1,\ldots,x_n) \, dx_1\cdots dx_n$$
My work:
I know that because all $x_k$ are symmetrical I can assume that $1\geq x_1 \geq \cdots \geq x_n\geq 0$ and multiply the answer by $n!$ so we get that $\max(x_1\ldots,x_n)=x_1$ and the integral that we want to calcu... | {
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"openwebmath_score": 0.8876901268959045,
"tags... |
### Show Posts
This section allows you to view all posts made by this member. Note that you can only see posts made in areas you currently have access to.
### Messages - Jingxuan Zhang
Pages: [1] 2 3 ... 8
1
##### APM346--Misc / perturbed NLS
« on: February 19, 2019, 06:57:24 AM »
Consider the perturbed NLS
$$\parti... | {
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"tags": nu... |
c++, c++11, inheritance, stack, smart-pointers
// Layer Stack.
// Can store instance of layer inheriting class Layer.
// These rules are to be followred:
// * Each type of layer can only appear once in the same layer stack.( Layer is Singleton. Look at Layer definition )
// * Layer can access other layer by ... | {
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"tags": "c++, c++11, inheritance, stack, smart-pointers",
"url": null
} |
oracles, complexity, recursive
A good exercise is to consider what a "generics" proof of Baker-Gill-Solovay looks like. One way is as follows. Define a condition $\sigma$ (i.e. partial function $\Sigma^* \to \{0,1\}$ to be a $\mathcal{BGS}$ condition if it contains at most one string of each length, and if $x \in dom(... | {
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"tags": "oracles, complexity, recursive",
"url": null
} |
p}$ and let $\bar I$ be the image of $I$ in $\bar A$. \begin{enumerate} \item Show that there exists a surjective ring map $R: = Bl_I(A) \to \bar R: = Bl_{\bar I}(\bar A)$. \item Show that the ring map above induces a bijective map from $\text{Proj}(\bar R)$ onto the strict transform $Z'$ of $Z$. (This is not so easy. ... | {
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"tags"... |
combinatorics, balls-and-bins
Proof of the theorem
For the sake of contradiction, let $G(V,E)$ and $w$ be a counterexample whose number of vertices is the smallest among all counterexamples. That is, there is $w$-distributing $m$ such that $F_k(m)$ is minimal among all $F_k(d)$ of $w$-distributing function $d$. Furthe... | {
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"tags": "combinatorics, balls-and-bins",
"url": null
} |
# Elementary question about localization of ideals
I'm trying to show the following:
Let $I,J$ be ideals of a commutative ring (with 1) $A$ such that $I_{P}=J_{P}$ for every prime ideal P of R. Here $I_{P}$ means the localization of $I$ in $P$. Then $I=J$.
Well I was thinking in using the following result: let $M$ b... | {
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"lm_q2_score": 0.824461928533133,
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"openwebmath_score": 0.9539204239845276,
"tags"... |
inorganic-chemistry, chirality
Title: Does any chirality-dependent inorganic chemical reaction exist? In the particle physics, there are non mirror-symmetric reactions.
In the organic chemistry, particularly in complex proteins, there are reactions producing only a single chirality of molecules.
But what is in the int... | {
"domain": "chemistry.stackexchange",
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"tags": "inorganic-chemistry, chirality",
"url": null
} |
c, stream, error-handling, timeout, serial-port
Replace/mark the byte with an error byte
If you do this then you can be more sure that you will get 10 bytes; but you can only do it if the protocol allows you to recognize an illegal byte value.
Or remove the error byte
If you do this then you must be able to recover f... | {
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"tags": "c, stream, error-handling, timeout, serial-port",
"url": null
} |
homework-and-exercises, kinematics, reference-frames, velocity
Title: Perceiving travel speeds from different view points Scenario:
Two vehicles pass each other on a highway moving at 100km's an hour; from a stationary position beside the road you witness these cars pass each-other directly in front of you: from your ... | {
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"tags": "homework-and-exercises, kinematics, reference-frames, velocity",
"url": null
} |
electromagnetism, lagrangian-formalism, mass, field-theory, polarization
see, for example:
Counting degrees of freedom in presence of constraints
Counting number of degrees of freedom in constrained system
where $N$ is the dimension of the phase space, $M$ is the number of first class constraints and $S$ is the numbe... | {
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"tags": "electromagnetism, lagrangian-formalism, mass, field-theory, polarization",
"url"... |
ros, message, publisher
Original comments
Comment by joq on 2012-07-17:
I agree. Much better to define a standard ROS message that is flexible enough for your application.
Comment by Erwan R. on 2012-07-19:
Thanks for answering. I think I wasn't precise enough. The problem is not to define an ad-hoc message for the ne... | {
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Documentation
# corrcov
Convert covariance matrix to correlation matrix
## Syntax
``R = corrcov(C)``
``[R,sigma] = corrcov(C)``
## Description
example
````R = corrcov(C)` returns the correlation matrix `R` corresponding to the covariance matrix `C`. ```
example
````[R,sigma] = corrcov(C)` also returns `sigma`,... | {
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"tags": ... |
continuous-signals
Title: Minimum number of points to specify a sine wave with a given accuracy I am generating a sine wave from a DAC at a constant frequency. If each full cycle is specified by N data points what is the relationship between the accuracy of the rendered sine wave and N?
N=1 will obviously be pulses. N... | {
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"tags": "continuous-signals",
"url": null
} |
turing-machines, quantum-computing, church-turing-thesis
Title: Does this article imply that Turing-Computability is not the same as "effectively computable"? I've stumbled across this article. It says that there is a problem that only Quantum Computers can solve.
In my understanding, this should mean, intuitively, th... | {
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"tags": "turing-machines, quantum-computing, church-turing-thesis",
"url": null
} |
quantum-mechanics, particle-physics, hydrogen
Just detecting such tiny asymmetries is very challenging: the typical timescale for an experiment is a decade.
This review of low-energy nuclear weak interactions, including neutron-proton and proton-proton interactions, is more than a decade old now but has only missed a ... | {
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} |
$\begin{array}{rcl} \tan(\alpha + \beta) & = & \dfrac{\sin(\alpha) \cos(\beta) + \cos(\alpha) \sin(\beta)}{\cos(\alpha) \cos(\beta) - \sin(\alpha) \sin(\beta)} \cdot\dfrac{\dfrac{1}{\cos(\alpha) \cos(\beta)}}{\dfrac{1}{\cos(\alpha) \cos(\beta)}}\\ & & \\ & = & \dfrac{\dfrac{\sin(\alpha) \cos(\beta)}{\cos(\alpha) \cos(\... | {
"domain": "libretexts.org",
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"openwebmath_perplexity": 235.8874990521153,
"openwebmath_score": 0.9533764123916626,
"ta... |
vba, pointers, reflection, rubberduck, com
Code
Now for some code, and I can expand on each of those things in turn:
[0. References]
There are 3 main references (other than Scripting.Dictionary):
MemoryTools.xlam - This is an addin which wraps cristianbuse/VBA-MemoryTools which I'm using to read/write memory e.g. Mem... | {
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"tags": "vba, pointers, reflection, rubberduck, com",
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} |
by R 3, multiplying Eq. If a different response is required, then it is possible to undertake calculations for these, although the electronic circuit design calculations are rather more complicated. Verify that the model is. Boyd EE102 Lecture 10 Sinusoidal steady-state and frequency response †sinusoidalsteady-state †f... | {
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"lm_q1_score": 0.9802808753491772,
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"lm_q2_score": 0.8175744806385542,
"openwebmath_perplexity": 997.9841681574762,
"openwebmath_score": 0.5418322086334229,
"tags": n... |
python, game, tkinter, turtle-graphics
def crtanje(br, boja):
fillcolor(boja)
if br == 0:
begin_fill()
circle(25, steps = 4)
elif br == 2:
begin_fill()
circle(25)
elif br == 4:
begin_fill()
circle(25, steps = 3)
elif br == 6:
pravokutnik()
... | {
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"tags": "python, game, tkinter, turtle-graphics",
"url": null
} |
electricity, charge
Title: Charge of an electric wire If an electric current is flowing through an electric wire, can we consider that wire charged?
The answer is required with a proof. Can we consider the wire to be charged positively or negatively? Jerk_dadt is correct. Electric current is the flow of free electrons... | {
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"tags": "electricity, charge",
"url": null
} |
length and width as: The Perimeter of a Parallelogram = 2 (L + B) In the above equation, ‘L’ is the length and ‘B’ is the breadth or width of the parallelogram. The diagonals of a parallelogram bisect each other and each one separates the parallelogram into two congruent triangles. Which quadrilateral shown could be pr... | {
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"lm_q2_score": 0.8333245891029456,
"openwebmath_perplexity": 680.622843572116,
"openwebmath_score": 0.8541576862335205,
"tags... |
java, algorithm, pathfinding
import java.util.ArrayList;
import java.util.Collections;
import java.util.List;
import java.util.Map;
import net.coderodde.graph.AbstractGraph;
public interface Pathfinder {
/**
* Searches for a path from {@code source} to {@code target} in
* {@code graph} using {@code he... | {
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"tags": "java, algorithm, pathfinding",
"url": null
} |
a function which is n times differentiable at a, then the nth Taylor polynomial of f at a is the polynomial p(x) of degree (at. Taylor Polynomials and Approximations Our objective in this section is to find a polynomial approximation for a non-polynomial function. The Taylor series equation, or Taylor polynomial equatio... | {
"domain": "flow-gym.de",
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"lm_q1_score": 0.9939964049148162,
"lm_q1q2_score": 0.8172530334027047,
"lm_q2_score": 0.822189123986562,
"openwebmath_perplexity": 471.5452330643302,
"openwebmath_score": 0.874197244644165,
"tags": null... |
javascript, optimization, jquery
if (scrolled > (($wheresThisAt)+340)){
$('#salamander-18').css('opacity', '1');
if (scrolled > (($wheresThisAt)+360)){
$('#salamander-19').css('opacity', '1');
if (scrolled > (($wheresThisAt)+380)){
$('#salamander-... | {
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"tags": "javascript, optimization, jquery",
"url": null
} |
image-processing, math
Title: Coordinate system in digital image processing I am trying to understand image coordinate system where I read that it is reversed.
So if $f(x,y)$ is actually $f(y,x)$ where $f(\cdot, \cdot)$ is the image. I am a bit confused and would appreciate help in clarifying certain points.
In digit... | {
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java, performance
for (int i = 0; i < lengthOfSequence; i++) {
patIndex[i] = Character.getNumericValue(pattern[i])-1;
}
for(int i = 0; i < numOfPermutations; i++) {
String s = designs[i];
for(int j = 0; j < lengthOfSequence; j++) {
pattern[j] = s.charAt(patIndex[j]);
... | {
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"tags": "java, performance",
"url": null
} |
quantum-mechanics, homework-and-exercises, path-integral, dirac-delta-distributions
\tag{03c}
\end{align}
and so
\begin{align}
\int\limits_{\boldsymbol{-\infty}}^{\boldsymbol{+\infty}}\!\!\delta\left(x_{_{\rm{N}}}\!-\!x_{_{\rm{F}}}\right) f\left(x_{_{\rm{N}}}\right)\mathrm dx_{_{\rm{N}}} & =
\int\limits_{\boldsymbol{-... | {
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"tags": "quantum-mechanics, homework-and-exercises, path-integral, dirac-delta-distribution... |
ros, ros-kinetic, rospy, namespaces, roscpp
Title: Using ROS namespaces programmaticaly
It seems like the simple question, but is it possible to control robots with different ROS namespaces in one launch file programmaticaly? For example, i want to move robot1 one meter forward, and robot2 one meter backward programm... | {
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"tags": "ros, ros-kinetic, rospy, namespaces, roscpp",
"url": null
} |
mechanical-engineering, applied-mechanics, stepper-motor, optimal-control, acceleration
You can also see this sample example for an illustration of how close to an optimal solution it may be possible to get only with a few (10) time steps.
The additional advantage of such an approach is that you can easily tune your v... | {
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"openwebmath_score": null,
"tags": "mechanical-engineering, applied-mechanics, stepper-motor, optimal-control, accel... |
php, laravel, eloquent
Title: PHP Laravel - Improving and refactoring code to Reduce Queries Improve Request to Reduce Queries
I have a web application, where users can upload Documents or Emails, to what I call a Strema. The users can then define document fields email fields to the stream, that each document/email wi... | {
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where $\phi = \frac {1 + \sqrt 5}{2}$ and $\phi' = \frac {1 - \sqrt 5}{2}$
$F_{5k} = \frac{\phi^{5k} + \phi'^{5k}}{\phi - \phi'} = \frac{\phi^{5} + \phi'^{5}}{\phi - \phi'} (\phi^{5k-5} + \phi^{5k-10}\phi' + \cdots \phi'^{5k-1}) = F_5(\phi^{5k-5} + \phi^{5k-10}\phi' + \cdots \phi'^{5k-1})$
and $F_5 = 5$
More general... | {
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"lm_q2_score": 0.8519528057272543,
"openwebmath_perplexity": 266.91510341407013,
"openwebmath_score": 0.9994779229164124,
"ta... |
java, algorithm, primes
Title: Factorizing integers I'm working on this method in Java, which is giving me the factors of a number. I'll be using this method a lot, and I was wondering if there isn't a better way of doing it. Like, with just one loop. Although this code works great and it returns what I expect, I just... | {
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"tags": "java, algorithm, primes",
"url": null
} |
1. ## Explicit Expression?
Hello, the full question is: Consider the function f(x)=|x2-4| A) Find the 2 points at which the function is not differentiable [SOLVED] B) For the larger of the two points in (a), find the left and right limit of the slope of the function [SOLVED] ...The part I'm having trouble with:
C) Gi... | {
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"lm_q1_score": 0.9678992951349231,
"lm_q1q2_score": 0.8207474012091419,
"lm_q2_score": 0.847967764140929,
"openwebmath_perplexity": 750.2651069917994,
"openwebmath_score": 0.8878687024116516,
"tags... |
machine-learning, classification, unsupervised-learning, supervised-learning, graphs
Title: Graph & Network Mining: clustering/community detection/ classification I am working on graphs/networks where nodes and edges have some attributes.
I want to know what algorithm exist for:
1) clustering a graph to k groups: depe... | {
"domain": "datascience.stackexchange",
"id": 3388,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "machine-learning, classification, unsupervised-learning, supervised-learning, g... |
quadcopter, distributed-systems
Title: How many quadcopters would it take to lift a burrito? I am investigating a possible business opportunity in which quadcopters perform high-precision nutritional delivery via a burrito medium. I have never used a burrito, but I have read on the internet that they typically weigh 6... | {
"domain": "robotics.stackexchange",
"id": 703,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "quadcopter, distributed-systems",
"url": null
} |
applications
Title: Is AI programming useful in everyday programs? I'm curious about Artificial Intelligence. In my regular job, I develop standard applications, like websites with basic functionalities, like user subscription, file upload, or forms saved in a database.
I mainly know of AI being used in games or robot... | {
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"openwebmath_score": null,
"tags": "applications",
"url": null
} |
Thanks for any help. I am totally confused.
1. 👍 0
2. 👎 0
## Similar Questions
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special-relativity, spacetime, differential-geometry, inertial-frames, galilean-relativity
What kind of structure must we assign to our ‘Galilean spacetime’ $\mathcal{G}$? It
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physical-chemistry, solutions, vapor-pressure
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$$\frac{24-6i-40i-10}{64+4}$$
$$\frac{14-46i}{68}$$
$$\frac{7-23i}{34}$$
Alternatives:
Let the answer be $a+ib$. Rewrite the initial equation as $$(a+ib)(8+i2)=3-i5.$$
Expanding, you get the $2\times2$ system $$\begin{cases} 8a-2b=3,\\ 2a+8b=-5.\end{cases}$$
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channel
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network-flow
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The idea that I had was, computing max flo... | {
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ros-package-path
Title: Import error: No module named rospkg/yaml
Due to this error(import error: No module named rospkg)( Still not yet fixed)
http://answers.ros.org/question/86126/import-errorno-module-named-rospkg/?comment=87546#comment-87546
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experimental-physics, electric-circuits, light-emitting-diodes
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homework-and-exercises, optics, lenses
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## Solution 2
With investing just a little bit of time, we can manually calculate 19!. If we prime factorize 19!, it becomes $2^{16} \cdot 3^8 \cdot 5^3 \cdot 7^2 \cdot 11 \cdot 13 \cdot 17 \cdot 19$. This looks complicated, but we can use elimination methods to make it simpler. $2^3 \cdot 5^3 = 1000$, and $7 \cdot 11... | {
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python, python-3.x, api
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"openwebmath_perplexity": null,
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Which doesn't really tell me much. I am really not sure I've even negated it correctly or that my definition with the quantifiers is correct.
• This are the exact words in the book "A point $z_0$ is said to be an interior point of a set $S$ whenever there is some neighborhood of $z_0$ that contains only points of $S$"... | {
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beginner, clojure
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opencv
at /usr/include/c++/4.4/bits/stl_tree.h:1179
#3 0x00007fffeea2e88b in std::_Rb_tree<cvflann::flann_algorithm_t, std::pair<cvflann::flann_algorithm_t const, cvflann::IndexParams* (*)()>, std::_Select1st<std::pair<cvflann::flann_algorithm_t const, cvflann::IndexParams* (*)()> >, std::less<cvflann::flann_algorith... | {
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ros
the message is :
Leg.msg
string name
int16[] id
float32[] pos
float32[] vel
the CmakeList:
cmake_minimum_required(VERSION 3.5)
project(motor_interface)
# Default to C99
if(NOT CMAKE_C_STANDARD)
set(CMAKE_C_STANDARD 99)
endif()
# Default to C++14
if(NOT CMAKE_CXX_STANDARD)
... | {
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python, rviz, roslaunch, librviz, groovy-turtlebot
and in the init for the class we have
reader = rviz.YamlConfigReader()
config = rviz.Config()
# We use rospack to find the filepath for the package using rviz.
rospack = rospkg.RosPack()
package_path = rospack.get_path('demo')
#Now you can grab this f... | {
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"lm_q1_score": null,
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Moreover you can substitute and check that it holds.
Will like to hear how to verify 4 in other different ways in the comments!
Will like to hear any good suggestions to this answer!
I am new to this ,If you want to downvote my answer (please mention the reason,otherwise I will repeat the same mistakes again). | {
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"openwebmath_perplexity": 483.11616466014755,
"openwebmath_score": 0.8535526990890503,
"ta... |
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