text stringlengths 1 1.11k | source dict |
|---|---|
Staff - 5 years, 11 months ago
I've solved (although not very rigorously) the first seven questions without using Dirichlet series. I only used the facts $\sum _{k=1}^{\infty } \frac{1}{k^2}=\frac{\pi ^2}{6}$ and $\sum _{k=1}^{\infty } \frac{1}{k^4}=\frac{\pi ^4}{90}$
- 5 years, 11 months ago
You did use Dirichlet s... | {
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"openwebmath_score": 0.9341559410095215,
"tags":... |
quantum-mechanics, optics, hilbert-space, quantum-optics, coherent-states
Turns out that the growth behaviour (and hence convergence of the integral in eq. (2)) of an entire function with known zeros $\alpha^\ast_i$ is tied to the exponent of convergence of the sequence $\alpha_i$, which is the infimum of all $\lambda... | {
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"openwebmath_score": null,
"tags": "quantum-mechanics, optics, hilbert-space, quantum-optics, coherent-states",
"url... |
autoregressive-model, spectrum-estimation
Note that there are a number of approaches in estimating the ACS $r_x[k]$ of $x[n]$, such as Auto-Correlation, Covariance, Burg's, Modified Covariance, etc...
Certain of these techniques (such as the autocorrelation and Burg's method) produce an artifact known as spectral spli... | {
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"openwebmath_score": null,
"tags": "autoregressive-model, spectrum-estimation",
"url": null
} |
java, performance, interview-questions, template, email
Enumeration<String> tagList = dataHash.keys();
while (tagList.hasMoreElements()) {
String tag = tagList.nextElement();
while (emailBody.indexOf(tag) != -1) {
int indexOf = emailBody.toLowerCase()
.ind... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, performance, interview-questions, template, email",
"url": null
} |
php, object-oriented
return null;
}
}
ScoreParser.php
<?php
namespace XXX\Command;
use Exception;
use XXX\Strategy\CalculationStrategy;
class ScoreParser
{
private CSVParser $parser;
private ScoreCalculator $calculator;
private ResultPrinter $printer;
public function __construct(CSVParser $par... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "php, object-oriented",
"url": null
} |
python, python-3.x, pyqt
self.forcedStatus = False
mainMenu = self.defineMenuBar()
fileMenu = self.addMenuToMenuBar(mainMenu, '&File')
self.defineCloseFunction(mainMenu,fileMenu)
self.defSaveFunction(mainMenu,fileMenu)
self.defineNewMod(mainMenu,fileMenu)
self.defineSave... | {
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"tags": "python, python-3.x, pyqt",
"url": null
} |
game, f#, ai, checkers-draughts
[<Literal>]
let Rows = 7
[<Literal>]
let Columns = 7
let internal kingRowIndex(player) =
match player with
| Player.Black -> Rows
| Player.White -> 0
let internal coordExists coord =
coord.Row >= 0 && coord.Row <= Rows &&
coord.Column >= 0 && coord.Column <= Colum... | {
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"openwebmath_score": null,
"tags": "game, f#, ai, checkers-draughts",
"url": null
} |
c++, memory-management, thread-safety, c++17
take all the locks at once
lock things only when needed, making sure to never try to lock something while something else is already locked
Both are valid strategies.
Option 1 is simpler.
template <class T>
inline Handle ObjectPool::reorder(const Handle &handle)
{
using... | {
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"tags": "c++, memory-management, thread-safety, c++17",
"url": null
} |
For part (ii) I used Baye's rule and said:
$$\frac{P(D∩+)}{P(D∩+)+ P(no D∩+)}$$
For part (iii) I simply said:
$$P(D∩+)+P(no D∩-)$$
• So far it is correct, you are almost done. What remains to be done is the calculation of the joint probabilities via the conditional probabilities you can read from the tree, e.g. $P(... | {
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"openwebmath_score": 0.8428083658218384,
"tag... |
formula in cylindrical first. According to C. We do not give the derivation here. Our goal is for students to quickly access the exact clips they need in order to learn individual concepts. 3-D Cartesian coordinates will be indicated by $x, y, z$ and cylindrical coordinates with $r,\theta,z$. This tool is all about GPS... | {
"domain": "ol3roma.it",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9915543738075945,
"lm_q1q2_score": 0.8174988355515703,
"lm_q2_score": 0.824461932846258,
"openwebmath_perplexity": 585.6846455806344,
"openwebmath_score": 0.8959506750106812,
"tags": ... |
quantum-mechanics, homework-and-exercises, symmetry, notation
$$
so that
$$
e^{ia\hat p/\hbar}|x'\rangle =\int \!dx ~ |x-a\rangle \langle x|x' \rangle = |x'-a\rangle ~,$$
as pointed out on the outset.
You might well choose to evaluate matrix elements of the above,
$$
T_x(a) f(x) \mapsto \langle x|\hat T(a) |f\ra... | {
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"tags": "quantum-mechanics, homework-and-exercises, symmetry, notation",
"url": null
} |
c, memory-management
for (int iter = 0; iter < 1000; iter++){
//create the linked list
struct LinkedListAlloc* root = alloc(size);
root->x = 0;
struct LinkedListAlloc* last = root;
for (int i = 1; i < 1000; i++){
struct LinkedListAlloc* tmp = alloc(size);
tmp->x = i;... | {
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"tags": "c, memory-management",
"url": null
} |
genetics, homework
The obvious answer is that there their is $m$ possible paternal alleles and $m$ possible maternal alleles so the solution is $m^2$. However this considers inheriting allele $a$ maternally and allele $A$ paternally as the same as inheriting $a$ paternally and $A$ maternally.
If they are considered di... | {
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"openwebmath_score": null,
"tags": "genetics, homework",
"url": null
} |
communication, linguistics
Title: Is there a biological basis for different accents? How did accents first develop? Was it climate dependent? or was it a social behavioural issue?
Is there any biological reason for the development of accents? No. Accent is purely environmental. The ability to pick up the unique sounds... | {
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"openwebmath_score": null,
"tags": "communication, linguistics",
"url": null
} |
noise, distortion
I've been trying to help this person hear the problem with his audio, but he's not hearing it and I'm not entirely sure what the cause of it could be or how one could even describe it.
EDIT: He switched to different broadcasting software and finally hears how bad it sounds now. Now we just need to k... | {
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"openwebmath_score": null,
"tags": "noise, distortion",
"url": null
} |
game, css, html5, angular.js, twitter-bootstrap
$scope.users = [];
$scope.chatMessages = [];
$scope.mods = [];
$scope.currentUser = window.currentUser;
$scope.invite = {
id: null,
name: null,
type: null
};
$scope.gotInvite = false;
var commandMap = {
"userst... | {
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"tags": "game, css, html5, angular.js, twitter-bootstrap",
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} |
quantum-mechanics, hilbert-space, quantum-information, quantum-entanglement
With regard to Edit 2 to the question -- does it still work for $\langle \phi\ket0>1-s$ -- the answer is also yes: The procedure above already satisfies that property. (Note that it is not a very meaningful condition, since all what could be ... | {
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"tags": "quantum-mechanics, hilbert-space, quantum-information, quantum-entanglement",
"u... |
python, reinventing-the-wheel, cryptography
def obfuscate(secret: bytes, key: bytes, encrypting: bool, loops: int) -> bytes:
shuffled_data = b''
round_key = key
for i in range(len(secret) // 128):
if i > 0:
round_key = get_round_key(round_key)
if encrypting:
... | {
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"openwebmath_score": null,
"tags": "python, reinventing-the-wheel, cryptography",
"url": null
} |
ros
Title: How to install lse_communication stacks?
I found lse_communication is a useful serial port stacks.
Before, I use svn co to download and use it correctly.
But When I want to use the following command:
sudo apt-get install ros-diamondback-lse_communication
it says could not find that package.
How to use a... | {
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"openwebmath_score": null,
"tags": "ros",
"url": null
} |
c#, winforms
drAddItem = dtTemp.NewRow();
drAddItem["Party"] = col1Value.ToString();
drAddItem["Bill No."] = col2Value.ToString();
drAddItem["Bill Date"] = col3Value.ToString();
drAddItem["Amount"] = col4Value.ToString();
... | {
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"openwebmath_score": null,
"tags": "c#, winforms",
"url": null
} |
quantum-mechanics, density-operator, observables, quantum-states, unitarity
quantum mechanical observables and state without tying ourselves to a specific Hilbert space or a specific operator representation of an observable is by thinking about the observables as being given as the data of an abstract $C^\ast$-algebra... | {
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"tags": "quantum-mechanics, density-operator, observables, quantum-states, unitarity",
"u... |
programming, optimization, qaoa
How does the measured expectiaon Value from step 2 is involved in the classical optimization?
Are the old $\gamma$ and $\beta$ involved in the classical optimization?
Are step 1 and step 2 only done once? Becuase then the measurement in step 2 will be very unreliable.
How is the functio... | {
"domain": "quantumcomputing.stackexchange",
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"tags": "programming, optimization, qaoa",
"url": null
} |
neuroscience, neurophysiology, endocrinology, light, circadian-rhythms
In the rat, the light-enhanced startle has been associated with the hypothalamic–pituitary–adrenal axis (Fig. 1). Specifically, light exposure has been shown fear mediated by corticotropin-releasing hormone (CRH) (Grillon et al., 2007). | {
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"tags": "neuroscience, neurophysiology, endocrinology, light, circadian-rhythms",
"url": n... |
Think of it this way. In the $\limsup$ , you are taking the biggest value past a certain $N$. As $N$ increases, there are "less and less" value to choose from, hence the $\limsup$ can only decrease (or stay constant).
Same thing applies with $\liminf$ except that as you get "less and less value" you can only increase ... | {
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"lm_q1_score": 0.975946446405965,
"lm_q1q2_score": 0.8132801855770941,
"lm_q2_score": 0.8333246035907933,
"openwebmath_perplexity": 179.16997474571744,
"openwebmath_score": 0.9471896886825562,
"tag... |
quadcopter, kalman-filter
1
started
300
state
-0.871108
0.433644
-0.139696
-0.183326
true value
-3.94732
-6.909
5.73763
meas
-4.36385
-6.98853
5.39759
updated state
-0.86404
0.436764
-0.102296
-0.228487
result
-3.69216
-6.94565
5.86192
1
started
0
state
-0.966663
-0.0537713
0.0256525
-0.249024
true value
0.749243... | {
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"openwebmath_score": null,
"tags": "quadcopter, kalman-filter",
"url": null
} |
python, object-oriented, python-3.x, playing-cards
def stick_or_twist(self, twist=False):
""" Takes in current hand and processes a new card
returns ok or bust
"""
score = self.current_score()
cards = self.cards
if self.player == 'Dealer':
if score < 17:
... | {
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"tags": "python, object-oriented, python-3.x, playing-cards",
"url": null
} |
quantum-mechanics, perturbation-theory
Title: General Condition for 1st order correction of perturbation theory to be ZERO? I need some help on the following question regarding perturbation theory of a quantum system:
Give an example of a perturbation to a system for which the first order correction is zero, and exp... | {
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"tags": "quantum-mechanics, perturbation-theory",
"url": null
} |
php, codeigniter
if ($userData = $this->ci->usersmodel->getUserByUsername($username))
{
$regenFromPostPW = $this->ci->genfunc->reGenPassHash($password, $userData->passwordHash);
if ($regenFromPostPW == $userData->password)
{
$this->ci->session->set_userdata(array(
... | {
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"url": null
} |
called anything else? Published on 11.10.2006 The modular approach in mathematics learning has been proven to be an effective and efficient tool to help students to learn mathematics themselves. I don't know what they are called, but i found some good pdf describing them some time ago, now it's lost. 0. So $13$ becomes... | {
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"id": null,
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9697854111860906,
"lm_q1q2_score": 0.8299919493444887,
"lm_q2_score": 0.8558511396138365,
"openwebmath_perplexity": 1311.5734329508234,
"openwebmath_score": 0.30894050002098083,
"tag... |
lagrangian-formalism, differential-geometry, action
$$s_q(\gamma)\dot q_\gamma + s_v(\gamma)\dot v_\gamma + s_t(\gamma) = L(\gamma)$$
So I don't think this is the right approach. I tried researching this and I found this paper$^1$ which seems to define the action as the integral of the Lagrangian times the volume form... | {
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"id": 98547,
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"openwebmath_score": null,
"tags": "lagrangian-formalism, differential-geometry, action",
"url": null
} |
of a Signal. 1: Fourier series approximation to s q ( t). Once the complex wave is broken up, we can analyze the results using the simpler sine waves Consider a square wave as shown in Fig. But these are easy for simple periodic signal, such as sine or cosine waves. org odic if it repeats itself identically after a per... | {
"domain": "xenchic.de",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9881308768564867,
"lm_q1q2_score": 0.8670619074356445,
"lm_q2_score": 0.8774767874818409,
"openwebmath_perplexity": 578.2945620419474,
"openwebmath_score": 0.8959225416183472,
"tags": nul... |
ros, moveit, motionplanning
Title: DistanceToCollision within a Moveit Planner
Hello,
I am trying to create a planner plugin within MoveIt, based on the CHOMP Planner already implemented. For this I need a distance function which returns the minimum distance between robot and environment, which DistanceToCollision pr... | {
"domain": "robotics.stackexchange",
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"tags": "ros, moveit, motionplanning",
"url": null
} |
To find the derivative at $s=0$ we need the Laurent series for each of these functions at $s=0$, ($\zeta(1+s)$ is singular at $s=0$, but $1-2^{-s}$ has a zero there, so $J$ is regular), they are $$(1-2^{-s})\zeta(1+s) = \log2 + (\gamma \log 2 - \frac{(\log 2)^2}{2})s + O(s^2),$$ $$\Gamma(1+s) = 1 - \gamma s + O(s^2),$$... | {
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"lm_q1_score": 0.9857180660748889,
"lm_q1q2_score": 0.8058979359272174,
"lm_q2_score": 0.8175744806385542,
"openwebmath_perplexity": 162.24913369519675,
"openwebmath_score": 0.9811682105064392,
"ta... |
c++, strings, c++11, security, securestring
T* allocate(std::size_t n) { return new T[n]; }
void deallocate(T* p, std::size_t n) {
SecureZeroMemory(p, n * sizeof *p);
delete [] p;
}
};
template <typename T, typename U>
inline bool operator== (const secure_allocator<T>&, const secure_allocator<... | {
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"openwebmath_score": null,
"tags": "c++, strings, c++11, security, securestring",
"url": null
} |
analytical-chemistry, identification
Title: How are substances identified in the real world? Recently in AP Chem I did a lab that involved doing various tests (melting on hot plate, flame test, etc.) to identify a metal out of a list of metals.
This had me wondering: how do chemists identify mystery substances in the ... | {
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"openwebmath_score": null,
"tags": "analytical-chemistry, identification",
"url": null
} |
vba, excel
Services.Add "% of time spent working with " & Name(1) & " on issues that were raised by a Medicaid Service Coordinator; "
Services.Add "% of time spent working with " & Name(1) & " on finding new work opportunities; "
Services.Add "% of time spent working with " & Name(1) & " on job training; " | {
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"openwebmath_score": null,
"tags": "vba, excel",
"url": null
} |
string-theory, tachyon
Title: How does one get rid of tachyonic fields in string theory? I've been watching Susskind's lectures on string theory and M-theory. He mentioned in video 3 that string theory initially had tachyons but that this was fixed early on in string theory's development. I'm wondering how precisely o... | {
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"tags": "string-theory, tachyon",
"url": null
} |
classical-mechanics, forces, lagrangian-formalism, coordinate-systems
$${\bf \phi}_m \cdot \frac{\partial {\bf x}}{\partial x} = {\bf \phi}_m \cdot {\bf e}_x = -T \sin \theta$$
$${\bf \phi}_m \cdot \frac{\partial {\bf x}}{\partial \theta} = {\bf \phi}_m \cdot (r \cos \theta {\bf e}_x+ r \sin \theta {\bf e}_y) = T \... | {
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"tags": "classical-mechanics, forces, lagrangian-formalism, coordinate-systems",
"url": n... |
python, python-3.x, aes, base64
Generally a good library should have you covered when it comes to padding and unpadding. Prefer the Python 3 bytearray types rather than the stringified b"\0" trick.
Worse, you're implementing Zero padding, which would strip off zero valued bytes from your text files. That may not harm ... | {
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"openwebmath_score": null,
"tags": "python, python-3.x, aes, base64",
"url": null
} |
ros, arduino, rosserial, publisher
Title: How to publish and subscribe to a boolean message?
Hello everyone,
I am moving my robot(pioneer 3dx) from say point A to point B. When my robot reaches point B, I want to publish a boolean message to a topic "PosReached". Then I want to my robotic arm connected to arduino (ro... | {
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"tags": "ros, arduino, rosserial, publisher",
"url": null
} |
c++, beginner, battle-simulation
public:
Random(unsigned int seed);
int number(int min, int max);
};
class Model {
private:
std::string name;
int health;
int attack;
int spattack1;
int spattack2;
public:
Model(std::string a, int b, int c, int d, int e);
friend void fight(int advType, int &spaCounte... | {
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"tags": "c++, beginner, battle-simulation",
"url": null
} |
If a baseball is projected upward from ground level with an initial velocity of 64 feet per second, then its height is a function of time, given by s(t) = -16t^2 + 54t. opens downward and thus has a maximum point. A ball is thrown vertically upward. Review: Review the definitions and first derivative test from previous... | {
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"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9896718496130618,
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"lm_q2_score": 0.8615382058759129,
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"openwebmath_score": 0.44554403424263,
... |
c#
if (pin != null && pin.Value == PinValue.High)
{
result = true;
}
return result;
}
/// <summary>
/// The absolute FALSE operator.
/// </summary>
/// <param name="pin">
/// The only Pin of the operator.
/// </param>
/// <returns>
/// TRUE if t... | {
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"tags": "c#",
"url": null
} |
opencv2
cv.NamedWindow(self.cv_window_name, 0)
print('f')
cv.NamedWindow("trackbars" , 0)
print('g')
self.bridge = CvBridge()
print('h')
self.image_sub = rospy.Subscriber("quadrotor/videocamera1/image",Image,self.callback)
print('i')
ro... | {
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"tags": "opencv2",
"url": null
} |
c++, template-meta-programming
// note in c++20, you could also constrain the type, like so:
// template <std::size_t N, std::integral T = int>
template <typename T>
inline constexpr auto tribonacci<0, T> = T(0);
template <typename T>
inline constexpr auto tribonacci<1, T> = T(0);
template <typename T>
inline cons... | {
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"tags": "c++, template-meta-programming",
"url": null
} |
neural-networks, tensorflow
Title: Neural network does not give out the required out put? Made a neural network using tensor flows that was supposed matches an Ip to one of the 7 type of vulnerabilities and gives out what type of vulnerability that IP has.
model = tf.keras.models.Sequential([
tf.keras.layers.Fl... | {
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"tags": "neural-networks, tensorflow",
"url": null
} |
formal-languages, context-free, formal-grammars
Step 2. Next, we will show that $G$ generates all strings with an equal number of $a$'s and $b$'s. Let $K$ be the set of all such strings. We argue by induction to show that $K \subseteq \mathcal{L}(G)$.
Base step. Let $w \in K$ such that $|w| = 0$. Then $w$ can be gener... | {
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"tags": "formal-languages, context-free, formal-grammars",
"url": null
} |
topological-phase, superfluidity, porous-media
J. E. Berthold, D. J. Bishop, and J. D. Reppy, "Superfluid Transition of $\require{mhchem} \ce{^4He}$ Films Adsorbed on Porous Vycor Glass", Phys. Rev. Lett. 39, 348 (1977).
G. K. S. Wong, P. A. Crowell, H. A. Cho, and J. D. Reppy, "Superfluid critical behavior in $^{4}\m... | {
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"tags": "topological-phase, superfluidity, porous-media",
"url": null
} |
climate, rainfall, netcdf
Title: How to prepare GrADS's .ctl file to convert grd file into .nc file in batch mode? I have lots of grd (GrADS) file and I want to convert those data into netCDF file using cdo. The operation needs all the corresponding ctl file and I will have to prepare all these. So, my question is th... | {
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"url": null
} |
So while that is true: I think it might merit a sentence or two just to make sure the audience is following.
• Isn't $M=\lim_{m\to \infty} \tan^{-1}(m)-\tan^{-1}(0)=\frac\pi2-0?$ – tatan Dec 27 '18 at 5:50
• @tatan. Yes. I am missing some terms. Let me edit. – Mason Dec 27 '18 at 5:51
• Thanks. I'm really slow at writ... | {
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"openwebmath_perplexity": 1363.6358109341672,
"openwebmath_score": 0.8877766132354736,
"ta... |
neutron-star
Title: Is starquake unique to neutron star? I read from somewhere that astronomer use X-ray to observe the "shaking" not to be confused with wobbling of a distant neutron star, I think it is similar to what geologist using microphone to detecting sound wave (vibration) inside the earth (no pun) to find ou... | {
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"tags": "neutron-star",
"url": null
} |
ruby, ruby-on-rails, url-routing
Title: Is dynamically generating routes from Model enum safe? I am generating routes and responding to it dynamically by looking at the enum defined in the model. Is this safe and is there more proper method?
# Place
enum post_type: [:restaurant, :bar, :chill]
# routes
scope '/place... | {
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"tags": "ruby, ruby-on-rails, url-routing",
"url": null
} |
c++, programming-challenge
}
}
//all int's that are diagonally(forward) next to each other
unsigned long long ForDiag(int a, int b, std::vector<std::vector<int>>grid){
if (a < grid.size()-3 && b < grid[a].size()-3){
return (grid[a][b] * grid[a+1][b+1] * grid[a+2][b+2] * grid[a+3][b+3]);
}
}
//all int's... | {
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"tags": "c++, programming-challenge",
"url": null
} |
php
Title: Submitting client reviews I generally encounter a lot of if/else. I would like to get some suggestions on my code:
if( $blnLogged && isset( $_POST['postReview'] ) )
{
if( $_SESSION['REVIEW']['SUBMITTED'] != '' )
{
$arrSharedData['blnRetSave'] = $_SESSION['REVIEW']['SUBMITTED'];
$blnS... | {
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"id": 101,
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"tags": "php",
"url": null
} |
Here is a bit of code that demonstrates this:
set.seed(12345)
# generate 100 sample sets each with 10 samples
# each with mean=1 and variance=1
x <- rnorm(1000, mean=1, sd=1)
# calculate 100 sample variances
xvars1 <- sapply(seq(1,1000,by=10), function(i) var(x[i:(i+9)]))
# calculate 100 population variances
xvars2 <-... | {
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"lm_q2_score": 0.8418256492357358,
"openwebmath_perplexity": 968.1534016749217,
"openwebmath_score": 0.7290436029434204,
"tag... |
atmosphere, co2
A quick 2 minute search found this paper (among a slew of others), entitled, Diurnal and Seasonal Variation of CO2 levels of surface air in Garwhal Himalaya
in which this graph highlights daily CO2 variations over the course of a year, in mmol/mol. You'll have to look up the conversion to ppm CO2: | {
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"tags": "atmosphere, co2",
"url": null
} |
The usual factorization tricks always work, if $p$ is a prime. However, note that some rings have zero divisors. For example $2\cdot 4\equiv 0\pmod{8}$, so the polynomial $x^2-1=(x-1)(x+1)$ has 3 as a root in the ring $\mathbf{Z}_8$, even though $(3-1)=2$ and $(3+1)=4$ are both non-zero. In fact, it is not hard to see ... | {
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"lm_q1_score": 0.9697854111860905,
"lm_q1q2_score": 0.849325438374542,
"lm_q2_score": 0.8757869819218865,
"openwebmath_perplexity": 92.64191559559643,
"openwebmath_score": 0.8358562588691711,
"tags... |
c#, performance, primes
Title: PrimeFactorize method for int I have written this PrimeFactorize utility method in C# (using LINQPad) which works fine, but feels like it is a bit slow, I was wondering what might be improved. Also looking for any criticism not related to efficiency to make the code better.
// Generate p... | {
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"tags": "c#, performance, primes",
"url": null
} |
human-biology, enzymes, digestion, carbohydrates, stomach
Title: If humans had cellulase would they be able to digest grass? Cellulase is an enzyme capable of breaking cellulose. If humans were able to produce cellulase in our stomach would we be able to digest grass? If not, what more things would we need in order to... | {
"domain": "biology.stackexchange",
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"tags": "human-biology, enzymes, digestion, carbohydrates, stomach",
"url": null
} |
python, beginner, python-3.x, linux, child-process
libinput Scroll Methods Available (286): 1, 1, 0
libinput Scroll Method Enabled (287): 1, 0, 0
libinput Scroll Method Enabled Default (288): 1, 0, 0
libinput Click Methods Available (310): 1, 1
libinput Click Method Enabled (311): 1, 0
libinput Click Met... | {
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"id": 31382,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, beginner, python-3.x, linux, child-process",
"url": null
} |
general-relativity, black-holes, photons, vector-fields, geodesics
Title: Calculating divergence and flux of geodesic word lines Given a family of neighbouring geodesic word lines, is there a way of calculating properties such as their divergence or flux? maybe by converting the tangent vectors of the world lines to a... | {
"domain": "physics.stackexchange",
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"tags": "general-relativity, black-holes, photons, vector-fields, geodesics",
"url": null... |
c#, beginner, console, calculator
Console.WriteLine("= "+ Number1 * Number2);
Console.Write("Press enter to calculate again: "); Console.ReadLine();
Console.Clear();
goto ZoneNumber1;
case "-":
Console.WriteLine();
... | {
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"tags": "c#, beginner, console, calculator",
"url": null
} |
$$\sum_{k=1}^n F_k = F_{n+2} - 1$$.
So the sum is $$F_{10}x + (F_{11}-1)y$$
======
Another answer states that the answer is that the sum is the $$7$$th number times $$11$$.
So does $$11(F_{5}x + F_{6}y) = F_{10}x + (F_{11} -1)y$$?
Well, $$11(F_5x + F_6y) = 11(5x + 8y)=55x + 88y = 55x + (89-1)y$$.
The Fibonacci se... | {
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"lm_q2_score": 0.8791467564270272,
"openwebmath_perplexity": 288.0881938066654,
"openwebmath_score": 0.8956186175346375,
"tags... |
java, unit-testing, binary-search
An element from the middle cannot be found, for example 5 in [1, 2, 6, 10].
The array contains duplicate values, for example 3 in [1, 2, 3, 3, 3, 3, 3, 3, 3].
In the latter case, it is unspecified whether binSearch should return 2 or 3 or any other index. All you can do in your unit ... | {
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"openwebmath_score": null,
"tags": "java, unit-testing, binary-search",
"url": null
} |
classical-mechanics, newtonian-gravity, orbital-motion, variable-mass-systems
Title: Variable mass of orbiting body Considering an object orbiting earth at radius $R$ and speed $v$, at one moment in time the mass of the object starts to decrease, what will happen to the object in terms of speed and orbit? Speed and or... | {
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"tags": "classical-mechanics, newtonian-gravity, orbital-motion, variable-mass-systems",
... |
equation iteration mathematics MATLAB model I'm get struggles with solving this problem: Using finite difference explicit and implicit finite difference method solve problem with initial condition: u(0,x)=sin(x) and boundary conditions: ,. The solution of PDEs can be very challenging, depending on the type of equation,... | {
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"id": null,
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"lm_q1_score": 0.9814534376578002,
"lm_q1q2_score": 0.8024112845639997,
"lm_q2_score": 0.8175744806385542,
"openwebmath_perplexity": 783.3088336727461,
"openwebmath_score": 0.4634234607219696,
"tags": null... |
energy-conservation, earth, thermal-radiation, mass-energy, estimation
Title: How much additional mass does the Earth gain each day from solar radiation? According to this answer, energy has some (minimal) mass associated with it. Therefore, when lots of energy hits the earth (such as solar radiation in a 24 hour peri... | {
"domain": "physics.stackexchange",
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"tags": "energy-conservation, earth, thermal-radiation, mass-energy, estimation",
"url": ... |
java, swing
private JTextArea textArea;
private JScrollPane scrollPane;
private int ummmCounter = 0;
private int understandCounter = 0;
private int okCounter = 0;
private int noCounter = 0;
private int huhCounter = 0;
private int staresCounter = 0;
private int questionsCounter = 0;
... | {
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"tags": "java, swing",
"url": null
} |
energy, computational-physics
There are some practical considerations, though I think these have been sufficiently discussed in the comments. Computers would make for noisy and bulky heaters, though anyone who has had to refrigerate a server room will tell you they can be very effective heaters.
If you want to be real... | {
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"openwebmath_score": null,
"tags": "energy, computational-physics",
"url": null
} |
computational-chemistry, cheminformatics
Title: Is converting SMARTS to SMILES a "lossless" operation? The following three different SMARTS strings represent the same structure - at least when depicting it (e.g. at Uni Hamburg Smarts viewer).
SMARTS:
[#6]-1=[#6]-[#6](-[#6]-[#6](-[#6]-1)-[#6])=[#8]
[#6]-1-[#6]=[#6]... | {
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"openwebmath_score": null,
"tags": "computational-chemistry, cheminformatics",
"url": null
} |
quantum-gate, circuit-construction, quantum-circuit
$$\mathrm{CSWAP} = |0\rangle\!\langle0|\otimes I_2\otimes I_{n-3}+ |1\rangle\!\langle1| \otimes\mathrm{SWAP}\otimes I_{n-3}.$$
It's also useful to write the SWAP itself as a sum of local operations:
$$\mathrm{SWAP} = \mathbb{P}_{00} + E_{01}\otimes E_{10} + E_{10}\ot... | {
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– TSJ
Mar 22, 2015 at 3:16
• One more comment. The second condition states we need to know the original limit, $\lim_{y\to\eta}f(y)$, actually exists. So there are cases where after the change of variable we find $\lim_{x\to\xi}f\bigl(g(x)\bigr)$ exists, but the original $\lim_{y\to\eta}f(y)$ does not, in fact, exist? ... | {
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"tags... |
The range of $$4\cos {2x}+3\sin {2x}$$ is $[-5,5]$
Hence maximum and minimum values of expression are $17$ and $7$ respectively.
Hint:
Let $y=A\sin^2x+B\cos^2x+C\sin x\cos x+D$
Method$\#1:$ Divide both sides by $\cos^2x$ to form a Quadratic Equation in $\tan x$
As $\tan x$ is real, the discriminant must be $\ge0$
... | {
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"lm_q2_score": 0.8539127529517043,
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"openwebmath_score": 0.9997677206993103,
"ta... |
For example, if the data has little variation, is clumped together in a sufficiently small neighborhood, then the logarithm will look like an affine function in that region (a theme of calculus is that if you zoom in enough on smooth, continuous function, that it will look like a line). For data sufficiently close toge... | {
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"lm_q1_score": 0.985496423290417,
"lm_q1q2_score": 0.8010778321048022,
"lm_q2_score": 0.8128673155708975,
"openwebmath_perplexity": 297.71336764371745,
"openwebmath_score": 0.8535780310630798,
"tag... |
rock, syskit
but this apparently isn't the way to go. syskit instanciate command shows only one instance of RockTutorialControl, but gives two roles to it (rock and foo). What is the meaning of "role" in this context?
I've noticed that the tutorial explains how to make multiple instances of the same component when we'... | {
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"tags": "rock, syskit",
"url": null
} |
general-relativity, lagrangian-formalism, differentiation, variational-principle, geodesics
\begin{align}
\frac{\partial L}{\partial v^a}\bigg|_{(\gamma(\lambda),\dot{\gamma}(\lambda))}&=
mc\frac{g_{ab}(\gamma(\lambda))\,\,\dot{\gamma}^b(\lambda)}{\sqrt{g_{kl}(\gamma(\lambda))\dot{\gamma}^k(\lambda)\dot{\gamma}^l(\lam... | {
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"tags": "general-relativity, lagrangian-formalism, differentiation, variational-principle, ... |
history-of-chemistry, colloids
Hi Martin. I'm afraid David Thompson is a little mistaken. We have multiple examples of Faraday colloids with the evidence to prove their provenance. We have over 10 samples and a further 700+ slides of his colloidal solutions which have been fixed to glass.
For more information, you can... | {
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"openwebmath_score": null,
"tags": "history-of-chemistry, colloids",
"url": null
} |
machine-learning, classification, machine-learning-model, pca
Pick a predefined level of variance to keep (usually 90% or 95%, at least for me) and just stick with it. Think of it as regularization, rather than as a hyper-parameter.
Treat it as a hyper-parameter and optimize over a validation set for the number of com... | {
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"tags": "machine-learning, classification, machine-learning-model, pca",
"url": null
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classification, neural-network, supervised-learning
Also, perhaps in your problem the classification is an artificial construct over some spectrum (e.g. "car" vs "van" or "safe" vs "dangerous") in which case the mistake in one case is entirely reasonable and expected?
You should use the value from the classifier that ... | {
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"openwebmath_score": null,
"tags": "classification, neural-network, supervised-learning",
"url": null
} |
homework-and-exercises, newtonian-mechanics, classical-mechanics, rotational-dynamics, torque
Title: In Rotational Dynamics do we have to consider the torque of pseudo force in Instantaneous Axis of Rotation frame? In the attached image have I done everything right? If yes then why there is no torque of Pseudo Force? ... | {
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newtonian-mechanics, reference-frames, inertial-frames, observers
Title: Why are observers important in defining rest and motion? Can't we deliberately define an object such as the sun to be at rest and describe all motions relative to it? As @user1583209 points out, you can choose any "observer" or frame of reference... | {
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... |
• "The length of your vec2 is not necessarily equal to the radius of the disc, because it is equal to the radius multiplied by a vector which is some component of the unit vector unitvec1" I see where i've gone wrong, because I have modified unitvec1 by setting the z component to 0, it is no longer a unit vector and th... | {
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"tag... |
tempPord := tempProd * fx[i]
res := res + tempProd
done
return res
End
Example
#include<iostream>
#define N 6
using namespace std;
double lagrange(double x[], double fx[], double x1) {
double res = 0, tempSum = 0;
for(int i = 1; i<=N; i++) {
double tempProd = 1; //for each iteration initialize temp product
... | {
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"openwebmath_score": 0.4984358251094818,
"t... |
gazebo, urdf
Also you check this tutorial: http://gazebosim.org/tutorials/?tut=ros_control
Originally posted by osilva with karma: 1650 on 2021-12-26
This answer was ACCEPTED on the original site
Post score: 0 | {
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# The uniform metric on $\mathbb{R}^\omega$
I'm working on a question from Topology by Munkres on p. 127 (Exercise #6). Here it is:
Let $\bar{\rho}$ be the uniform metric on $\mathbb{R}^\omega$. Given $\mathbb{x}= (x_1, x_2, ...) \in \mathbb{R}^\omega$ and given $0 < \epsilon < 1$, let $U(\mathbb{x}, \epsilon):= (x_1... | {
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"openwebmath_score": 0.9630380868911743,
"tags... |
java). Text background. Bases: sage. Krebs and is unpublished, but can found on Krebs' web site. Python implementation of selected weighted graph data structures and algorithms is presented. Dynamic Programming based C++ program to find shortest path with exactly k edges #include #include using namespace std; // Define... | {
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"lm_q1_score": 0.982287698185481,
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"lm_q2_score": 0.8333245973817158,
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"openwebmath_score": 0.5039048194885254,
"tags": ... |
quantum-mechanics, electromagnetism, operators, gauge-invariance, unitarity
$^\dagger$A strongly continuous family of operators is one which satisfies the expression $\lim_{t\rightarrow t_0} \Vert A_t\psi - A_{t_0}\psi \Vert\rightarrow 0$ for all $t_0\in \mathbb R$ and $\psi$ in the Hilbert space. For reference, this ... | {
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"tags": "quantum-mechanics, electromagnetism, operators, gauge-invariance, unitarity",
"u... |
a positive and negative growth rate. Word problem with growth rates. Exponential Functions Word Problems WS Exponential Growth and Decay Worksheet Comments (-1) Compound Interest Notes. Some of the worksheets for this concept are Growth decay word problem key, Exponential growth and decay, Exponential growth and decay ... | {
"domain": "libreriaperlanima.it",
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"lm_q1_score": 0.9852713852853137,
"lm_q1q2_score": 0.8374522814371483,
"lm_q2_score": 0.8499711794579723,
"openwebmath_perplexity": 1193.5853796587046,
"openwebmath_score": 0.3269873261451721,
... |
mars, temperature, surface
Title: Why is Mars cold? The surface temperatures of Mars are about -87C to 5C, which is much colder than that of Earth's.
If Mars has 95% carbon dioxide, which is a Greenhouse gas, why is the surface of Mars so cold? Shouldn't it trap heat and render it hot? Firstly, Mars has a mean distan... | {
"domain": "astronomy.stackexchange",
"id": 3995,
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"tags": "mars, temperature, surface",
"url": null
} |
genetics, dna, synthetic-biology, diy-biology
and really bad if you spill it on you, and should not be used outside a hood. But if you manage to get the extraction to work, take the top layer and add an equal amount of isopropyl alcohol and put it in your freezer for a couple hours. Then spin it down, carefully remove... | {
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I wrote the code above in python and it takes a lot of time to end for num=1000. Can you help me understand what is wrong w.r.t. efficiency.
• Hint: Use dynamic programming to get an $O(n)$ algorithm. I'll let you fill in the details. – Yuval Filmus Jun 9 '16 at 8:08
• What specifically did you try? "took a lot of tim... | {
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quantum-mechanics, electromagnetic-radiation, waves, wavefunction, dispersion
Just looking for intuitive physical interpretations here. The wave mechanics dispersion relation you cite is for EM waves propagating in free space. In other media, the dispersion relation is not necessarily linear (it can be quadratic or h... | {
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... |
python, beginner, array, file, game-of-life
# Prints matrix
# 0 1
# 1 0
# as
# *
# *
def print_matrix(matrix, height, width):
for i in range(1, height-1):
for j in range(1, width-1):
if matrix[i][j] == 1:
print '*',
else:
print ' ',
print ""... | {
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"tags": "python, beginner, array, file, game-of-life",
"url": null
} |
electrostatics, electric-fields, potential, voltage, conventions
Title: Opposite sign for voltage I know that
$$V(\vec{P_1})-V(\vec{P_2})=-\int_{\vec{P_1}}^{\vec{P_2}}\vec E \cdot d\vec l$$
but when I apply it to a point $x$ away from a point charge $q$, setting $V=0$ at $\infty$, I get
$$\begin{align}
V(x)-V(\infty)&... | {
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"tags": "electrostatics, electric-fields, potential, voltage, conventions",
"url": null
} |
microcontroller, gazebo, moveit, ros-control
Title: Can't find controller with Moveit
As the titles says, I can load the robot model with gazebo, start the controller, and receive the robot position from Gazebo, I even can plan the movement, but the execution fails with message
[ INFO] [1506956704.438899700, 37.70000... | {
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"tags": "microcontroller, gazebo, moveit, ros-control",
"url": null
} |
A rate of change is relevant for time-series data and calculates the change from time t-1 to t, relative to the value at t-1:
$\Large \left(X_t - X _{t-1}\right)/X_{t-1}$
By multiplying by 100 expresses the rate of change in terms of percentage change. For example, for Sales in 2001 equal to $200ml and Sales in 2002 ... | {
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"openwebmath_score": 0.494106650352478,
"tags... |
general-relativity, spacetime, speed-of-light, gravitational-waves, ligo
Why it is assumed above that it is particular distance component (in its three dimensional space sense) of the spacetime continuum and not the time component of the spacetime continuum - which is changing under the effect of gravitational wave pa... | {
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experimental-physics, continuum-mechanics
This is coming from reddy's introduction to continuum mechanics.
Also please explain what the above formula is term by term since i don't quite understand what this seem-to-be simple formula is. The equation in question is the convective derivative, used e.g. in the transport ... | {
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"tags": "experimental-physics, continuum-mechanics",
"url": null
} |
neural-network, deep-learning
We would have a loss of zero, but as you know this result would also be very likely overfitting the model to the data. | {
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"openwebmath_score": null,
"tags": "neural-network, deep-learning",
"url": null
} |
solutions
I think that more depression in freezing point will result in a better antifreeze solution. It depends on molal freezing constant. How can I predict this? You are on the right track when you mention molality.
Because freezing point depression is a colligative property of the solvent, in this case water, al... | {
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"openwebmath_score": null,
"tags": "solutions",
"url": null
} |
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