text stringlengths 49 10.4k | source dict |
|---|---|
haskell, tree, api
unionOfTwoForests :: Eq a => [Tree a] -> [Tree a] -> [Tree a]
unionOfTwoForests [] frst = frst
unionOfTwoForests frst [] = frst
unionOfTwoForests (ndy@(Node y subfrstY) : ndys) ndxs =
let (oks,others) = partition (\(Node w _) -> w == y) ndxs
in case oks of
[] -> ndy : unionOfTwoFor... | {
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"tags": "haskell, tree, api",
"url": null
} |
c, strings, pattern-matching
Title: Find repeating pattern in a string I have written a C function that finds the shortest substring that can be repeated to produce the entire string.
input: abcdeabcde
result: abcde
input: abababab
result: ab
#include <stdio.h>
#include <string.h>
int
getr_seq(char *arr, int n, in... | {
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"tags": "c, strings, pattern-matching",
"url": null
} |
optics, lenses
It is this part that confuses me:
Thus a virtual image may be observed directly or may serve as a source to be reimaged by a subsequent lens system, but it cannot be produced on a screen.
I thought the entire point was that the virtual image cannot be observed directly (or, actually, observed at all).... | {
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"url": null
} |
The problem with your first method is that the events are not independent. Yes, the probability that you don't draw an ace from a full deck is $12/13$, and the probability that you don't draw a two from a full deck is $12/13$, but if you draw one card and then draw a second, the outcome of the second draw is dependent ... | {
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"openwebmath_score": 0.5406288504600525,
"tags... |
respectively, and I am not sure how to go about those.
Is there a way to solve this assuming one of the primes is equal to $$2$$ and none of them is equal to $$2$$?
• If $p_1+p_2+p_3 = 2p_1p_2p_3 -17$ subtract $p_3$ from both sides: $p_1 +p_2 = (2p_1p_2-1)p_3-17=(p_1p_2 - 1)p_3 -17+ p_1p_2p_3$. Subtract $p_2$ from bo... | {
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On the other hand, starting from $\frac{1}{2x+1}$ one cannot write $$\frac{\frac{x}{1+x}}{\frac{1+2x}{1+x}}$$ if we don't explicitly state that $1+x\not=0$, otherwise you would be dividing by $0$. Therefore one can always do the algebraic manipulations, given that one carries the excluded points along.
Therefore, one ... | {
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"lm_q2_score": 0.8289387998695209,
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"openwebmath_score": 0.887749195098877,
"tags... |
c++, performance, statistics, r, ffi
And here are the benchmarks:
microbenchmark(roll_mean(x, w),
roll_meanIterator(x, w),
roll_meanBrackets(x, w),
times = 50, unit = "relative")
Unit: relative
expr min lq mean median uq max n... | {
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"tags": "c++, performance, statistics, r, ffi",
"url": null
} |
php, api, rest
return $this->formResponse($workout, false);
}
WorkoutRepository.php
<?php
class WorkoutRepository implements CanPersistWorkout
{
private $mapperFactory;
private $list = [
Workout::class => WorkoutBase::class,
Round::class => WorkoutRound::class,
Name::class => ... | {
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"tags": "php, api, rest",
"url": null
} |
quantum-field-theory, quantum-spin, polarization, spinors, scattering-cross-section
(Aside: I hope I won't confuse you further. You could veeery alternatively think of the chirality states involved. The photon, being a vector interaction, connects only Left-chiral electrons to Right-chiral positrons, and vice versa. S... | {
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"tags": "quantum-field-theory, quantum-spin, polarization, spinors, scattering-cross-sectio... |
the page, is a bit different.) a number that has 2 parts. Live Game Live. Complex numbers are composed of two parts, an imaginary number (i) and a real number. Played 0 times. To rationalize we are going to multiply the fraction by another fraction of the denominator conjugate, observe the following:$$\cfrac{2 + 3i}{4 ... | {
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"openwebmath_score": 0.9053365588188171,
"tags"... |
means \$-\pi \$ phase shift?. The magnitude of these complex numbers at different frequencies represent the magnitude vs. The Fourier transform is a complex function, so |V(f)| is the amplitude spectrum 11/30/2012 8:18 AMof v(t) and arg V(f) is the phase spectrum. 0 1 2 3 4 5 6 7 8 9 10 0 0. The Fourier transform of a ... | {
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"lm_q1_score": 0.9865717436787543,
"lm_q1q2_score": 0.8178076034440476,
"lm_q2_score": 0.828938806208442,
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"openwebmath_score": 0.8453619480133057,
... |
Now make the substitutions \displaystyle \begin{align*} u = \ln{(y)} \implies du = \frac{1}{y}\,dy \end{align*} and \displaystyle \begin{align*} v = \cos{(x)} \implies dv = -\sin{(x)}\,dx \end{align*} and the DE becomes
\displaystyle \begin{align*} \int{\frac{1}{u}\,du} &= -\int{ \frac{1}{1 - v^2}\,dv} \end{align*}
T... | {
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"lm_q1_score": 0.978051741806865,
"lm_q1q2_score": 0.8192356601457969,
"lm_q2_score": 0.8376199592797929,
"openwebmath_perplexity": 8350.364975015238,
"openwebmath_score": 0.8569142818450928,
"tag... |
covalent-compounds, oxidation-state
1: mono-
2: di-
3: tri-
4: tetra-
5: penta-
6: hexa-
7: hepta-
8: octa-
9: nona-
10: deca-
Then, for each element (starting with the least electronegative one - the one furthest to the left on the periodic table) you just use the prefix in front of the element name. $\ce{N2O5}$ wou... | {
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"tags": "covalent-compounds, oxidation-state",
"url": null
} |
c#, winforms, active-directory
private string domain;
private string domainContext;
private string organizationalUnits;
public string Domain
{
get
{
return domain;
}
set
{
domain = value;
}
}
public string Organizational... | {
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"tags": "c#, winforms, active-directory",
"url": null
} |
fourier-transform
Example: If you're a football (soccer) fan, you might've been
annoyed at the constant drone of the vuvuzelas that pretty much
drowned all the commentary during the 2010 world cup in South Africa.
However, the vuvuzela has a constant pitch of ~235Hz which made it
easy for broadcasters to imple... | {
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"openwebmath_score": null,
"tags": "fourier-transform",
"url": null
} |
homework-and-exercises, newtonian-mechanics, projectile, drag
# First calculate velocity
Vx_WD.append(Vx_WD[i-1] * (1.0 - beta * speed * dt))
Vy_WD.append(Vy_WD[i-1] + ( - g - beta * Vy_WD[i-1] * speed) * dt)
# Now calculate position
X_WD.append(X_WD[i-1] + Vx_WD[i-1] * dt)
Y_WD.append(Y_WD[i-1] +... | {
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"tags": "homework-and-exercises, newtonian-mechanics, projectile, drag",
"url": null
} |
everyday-chemistry, ionic-compounds
If you don't count the proteins, epithelial cells and bacteria that normally constitute human saliva...how would this make saliva any different from a simple laboratory-prepared cocktail of sodium, potassium, magnesium, calcium, etc? Besides, ordinary (un-branded) bottled water woul... | {
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"tags": "everyday-chemistry, ionic-compounds",
"url": null
} |
quantum-field-theory, feynman-diagrams, path-integral, partition-function, 1pi-effective-action
There is also an intimate (diagramatic) relationship between $W$ and $\Gamma$ which is quite nice, but for that I'll refer you to the QFT book by Banks: "Modern Quantum Field Theory: A Concise Introduction." He performs ess... | {
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"tags": "quantum-field-theory, feynman-diagrams, path-integral, partition-function, 1pi-eff... |
c++, beginner, multithreading, sorting, mergesort
for (int i = 0; i < size; i++)
sequence[i] = sorted[i];
delete[] sorted;
}
function merge_sort:
template<typename T, int min_size_to_thread = 10000>
void merge_sort(T sequence[], int size)
{
if (size > 1)
{
int middle = size / 2;
i... | {
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"tags": "c++, beginner, multithreading, sorting, mergesort",
"url": null
} |
In the case of a double sum we have:
$$\prod^N_{k=1} \sum^{M_1}_{r=1}\sum^{M_2}_{s=1} b_{k,r,s}=\sum_{\begin{gather} f_1 \, \in \, [N]\rightarrow [M_1] \\ f_2 \, \in \, [N]\rightarrow [M_2] \end{gather}}\prod^N_k b_{k,f_1(k),f_2(k)}$$
if $$[M_1]=[M_2]=[M]$$, then we may consider the change of notation $$f_1(k)=f(1,k)... | {
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"lm_q2_score": 0.8198933271118222,
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"openwebmath_score": 0.9895083904266357,
"ta... |
quantum-mechanics, wavefunction, wave-particle-duality, superposition, wavefunction-collapse
Title: Does an asteroid superpose in space? I'm learning the basics of quantum physics and I've read that all objects have a wave function, but the only reason nothing in the macro-world superposes is that they're constantly i... | {
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"tags": "quantum-mechanics, wavefunction, wave-particle-duality, superposition, wavefunctio... |
r, ggplot2
"PDAC_AAACGAAGTCCAGGTC-1", "PDAC_AAAGAACAGCAAGTGC-1", "PDAC_AAAGAACAGGATGAGA-1",
"PDAC_AAAGTGACATCCGTTC-1", "PDAC_AACAACCAGGAAGTAG-1"), class = "data.frame") Your issue is coming by the fact that when you calculate mean, se, ... you removed the Condition column, here is your my_sum_1 results:
# A tibble: 7... | {
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"tags": "r, ggplot2",
"url": null
} |
c#, dependency-injection, autofac
Title: Autofac DI container in console app Just used DI containers in MVC projects, via constructor injection, and I'd need to now inject a service into a console app. I'm using Autofac so I followed what I found here.
The code would be something like this:
The service the console app... | {
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"url": null
} |
angular-momentum, rotational-dynamics, reference-frames
Title: Total Angular Momentum of system of particles In my mechanics book while working out the total angular momentum's formula analogous to the center of mass of the system
from the fig it concludes $r_i=R+r_i'$
Taking derivative $v_i=V+v_i'$
formula ... | {
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"tags": "angular-momentum, rotational-dynamics, reference-frames",
"url": null
} |
java, strings, regex, validation, url
Missing final
Variables that are not supposed to change should be marked as final. If you decide to keep the containsSpecialCharacters variable, it should be marked as final (and named as decribed above).
final boolean containsIllegalCharacters = illegalCharactersExist(url);
Reus... | {
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"tags": "java, strings, regex, validation, url",
"url": null
} |
thanks in advance.
2. Originally Posted by Simo
Dear all,
I need to know if is it possible to find the mean of a normal distribution knowing the ratio of the area under the "bell" curve on the left and on the right of a given point.
To be more precise I need to solve the following equation
$\frac{1}{\sigma \sqrt{2\pi ... | {
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"openwebmath_score": 0.8652393817901611,
"tag... |
python, python-3.x, calculator
Title: Taxi fare calculator, trip recorder, and fuel calculator I solved this practice problem in preparation for school exams.
The owner of a taxi company wants a system that calculates how much money his taxis take in one day.
Write and test a program for the owner.
Your program must... | {
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"tags": "python, python-3.x, calculator",
"url": null
} |
control-theory, sensors, electronic-filters, kalman-filters
Title: Complementary filter in MPU_6050 is giving me the wrong answer when the system is accelerating So I am using a complementary filter to find the attitude in my quadcopter, doing the following
$$\text{angle} = 0.98\cdot (\text{angle}+\text{dt}\cdot \text... | {
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"tags": "control-theory, sensors, electronic-filters, kalman-filters",
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java, object-oriented
Do you see that this bit of code appears twice in your method? It looks like you copied and pasted it. A good rule of thumb is that if you ever hit CTRL+C and CTRL+V in succession, you are probably doing something the hard way. If logic is repeated explicitly like this, it's a sign of bad desi... | {
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"tags": "java, object-oriented",
"url": null
} |
# for QR codes use inline
# %matplotlib inline
# qr_setting = 'url'
# qrviz_setting = 'show'
#
# for lecture use notebook
%matplotlib inline
qr_setting = None
#
%config InlineBackend.figure_format='retina'
# import libraries
import numpy as np
import matplotlib as mp
import pandas as pd
import matplotlib.pyplot as plt
... | {
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"openwebmath_score": 0.891132116317749,
"tags": null,
... |
general-relativity, differential-geometry, coordinate-systems
ASIDE - The same idea is utilized when spatial infinity is blown up into de Sitter slices. The boundary of the de Sitter slices is at $u=0$ and in that case one assumes that all massless particles exit the system at $u>0$. Fields are therefore frozen in the... | {
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"tags": "general-relativity, differential-geometry, coordinate-systems",
"url": null
} |
c#
yield return item;
}
token.ThrowIfCancellationRequested();
}
public void Dispose() => isThereAnyData.Dispose();
}
I've initialized the SemaphoreSlim with 0 as initial value and 1 as the max
Inside the TryEnqueue I call the Release only if the _head was -1 prior this method call
Inside the... | {
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"tags": "c#",
"url": null
} |
algorithms, complexity-theory
If all you know about $f$ is that is satisfies $f(n) = \Omega(n^{\log_ba+\epsilon})$ for some $\epsilon>0$, then you cannot conclude that $f$ is regular. Indeed, given $a,b,\epsilon$, take
$$
f(n) = a^{\tfrac{1}{2} \lfloor \log_{b^2} n \rfloor(1+\epsilon/\log_ba)}
$$
Then
$$
f(n) > a^{\tf... | {
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"tags": "algorithms, complexity-theory",
"url": null
} |
evolution, herpetology, dinosaurs
Title: Evolution of dinosaurs What did dinosaurs evolve from? Was it the reptiles that evolved from amphibians? I have been researching this but am very confused with who their direct predecessor was. Amphibians evolved from fish...reptiles from amphibians...dinosaurs from reptiles (... | {
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"tags": "evolution, herpetology, dinosaurs",
"url": null
} |
python, performance, python-3.x, sieve-of-eratosthenes
I ran the test and had the following results
prime Time taken: 9.446519022000302
Optimized prime Time taken: 0.002043106000201078
Note: I didn't check for 0 and 1 in isprime() and isprime2() which aren't prime number, I wrote the code with performance in mind. ... | {
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c, object-oriented, array
Title: Dynamically-expanding array in C I'm learning C, specifically OOP in C. As practice, I wrote a dynamically-expanding array.
dynarray.h
#ifndef DYNARRAY_H
#define DYNARRAY_H
typedef struct DynArray {
int length,
capacity,
*arr;
void (*extend)(struct DynArray *d... | {
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Another reason why they use $\equiv$ in number theory is history. Abstract Algebra is new compared to modular arithmetic.
• Actually, writing $5^6 = 1$ is perfectly fine if it's clear that you're working in $\mathbb{Z}/7\mathbb{Z}$. In my opinion, the only reason why we use $\equiv$ is history, and that's a good enoug... | {
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"openwebmath_score": 0.873113214969635,
"tag... |
newtonian-mechanics, everyday-life, collision
Title: Physical Role of Batter in Baseball Physically, what is the role of a batter in baseball?
My question is inspired by How does the speed of an incoming pitch affect the speed of a baseball after it's hit?
The answer to that question, that a faster pitch results in a ... | {
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beginner, game, tic-tac-toe, rust
[dependencies]
itertools = "0.9.0"
Example Session
Enter command: ('help' for help)
help
Supported commands:
- exit: quit the session
- help: display help screen
- quit: quit the session
- reset: reset scores
- scoreboard: display scores
- start: st... | {
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Basically RAA is based on the fact that a statement is considered either true or false (even if we are not able to prove it), and how that makes compound statements true or false (by using negation, implication, conjunction, disjunction etc).
I get your point indeed our logic doesn't actually model everyday "reality" ... | {
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"openwebmath_perplexity": 479.48238343653946,
"openwebmath_score": 0.6731948256492615,
"ta... |
fixed-point, conversion, scaling
Title: Fixed point scaling; float -> Q31 -> float I am new to DSP and I am trying to understand how to work with fixed point operations and in particular the Q31 format.
In floating point (full range) I am doing some multiplications, it could be for example 6.0 * 10.0 = 60.0. Convertin... | {
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"openwebmath_score": null,
"tags": "fixed-point, conversion, scaling",
"url": null
} |
quantum-mechanics, heisenberg-uncertainty-principle, observables
Title: Is the generalized uncertainty principle dependent on the state of the particle? The generalized uncertainty principle can be written as (where A and B are observables):
$$
\sigma_A\sigma_B \geq \left| \frac{1}{2i}\langle [A,B]\rangle_\Psi \right|... | {
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"tags": "quantum-mechanics, heisenberg-uncertainty-principle, observables",
"url": null
} |
newtonian-mechanics, forces, free-body-diagram, string
Title: Can tension change in a massless string if there are three forces acting on it? Consider this massless string, which has three forces acting on it, two on the ends and one at the middle:
Would the tension change at the midpoint where the $5 \text{N}$ force... | {
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# Which solution is correct to this question: find the number of different sequences $(x_1,x_2,x_3,x_4,x_5)$ with following rules
I have two solutions for this problem: find the number of different sequences $(x_1,x_2,x_3,x_4,x_5)$ with following rules $x_i \in \{1,2,3\}$ where $1 \leq i \leq 5$ and $x_1 \leq x_2 \leq... | {
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"lm_q1_score": 0.9871787857334058,
"lm_q1q2_score": 0.826880652307128,
"lm_q2_score": 0.8376199572530448,
"openwebmath_perplexity": 234.81059074280356,
"openwebmath_score": 0.7847015261650085,
"tag... |
c++, linked-list, pointers
ptrHead = std::move(ptrHead->ptrNext);
}
/**
* Peek at the value of the top element.
*
* Throws an exception if the list is empty.
*
* @return
*/
template <typename T>
T LinkedList<T>::peek() const {
if (ptrHead == nullptr) {
throw std::out_of_range{"Empty list: Attempt... | {
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Place of a real number, this occurs if we have an additional problem with negative! Rule as powers, exponents and indices are all the grouping symbols the elements a... Denote a binomial coefficient, one step at a time ], can also be used to denote the part! Includes all real numbers, except 8 from 0 to 8 went a little... | {
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"lm_q1q2_score": 0.8411107984216882,
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"openwebmath_score": 0.8973632454872131,
... |
If you know a little about the exterior algebra we can see this almost immediately, and in a way that generalizes substantially.
Pick any plane $$\Pi$$ containing $${\bf x}, {\bf y}, {\bf z}$$. The map on $$\Pi$$ defined by $$({\bf a}, {\bf b}, {\bf c}) \mapsto [({\bf a} \times {\bf b}) \cdot {\bf N}] {\bf c} + [({\bf... | {
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"lm_q1_score": 0.9828232935032463,
"lm_q1q2_score": 0.8035312393768282,
"lm_q2_score": 0.8175744761936437,
"openwebmath_perplexity": 322.3503210436836,
"openwebmath_score": 0.9991838335990906,
"tag... |
vba, excel
If overwrittenConstants > 0 Or overwrittenFormulas > 0 Then
Alternatively, you code do this:
If WorksheetFunction.CountA(inputCell.curreCurrentRegion) > 0 Then
Overwriting a table with fewer rows than the original table will throw a 1004, "A table cannot overlap another table." Error.
Here is how you can ... | {
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"openwebmath_score": null,
"tags": "vba, excel",
"url": null
} |
homework-and-exercises, vectors
Title: Resultant vector problem $\newcommand{\v}[1]{\vec #1}\newcommand{\i}{\hat i}\newcommand{\j}{\hat j}$
Problem statement (1,2)
A shopper at the supermarket follows the path indicated by vectors $\v A, \v B, \v C, \v D$ in the figure. Given that the vectors have magnitudes $A=51\:\... | {
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"tags": "homework-and-exercises, vectors",
"url": null
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homework-and-exercises, newtonian-mechanics, forces
Title: Infinite Atwood's machine I tried doing problem 43 in this collection just for fun. It is reproduced as follows:
(I'm not allowed to post the entire problem here since I'm a new user.)
Here are my equations:
$$T - mg = ma$$ (equation 1)
$$Mg - T = Ma$$ (e... | {
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"tags": "homework-and-exercises, newtonian-mechanics, forces",
"url": null
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Does this-hopefully it does-remind you a more general equation of a circle?
Let's also look at the third one as well.
We have $$\operatorname{Re}\Big(\frac{z+1}{z-1}\Big)=\Re\Big(\frac{z+1}{z-1}\Big)=\Re\Big[\frac{(z+1)(\bar{z}-1)}{(z-1)(\bar{z}-1)}\Big]=\Re\Big[\frac{(z+1)(\bar{z}-1)}{|z-1|^2}\Big]\gt1$$ Now for $z=... | {
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"lm_q1_score": 0.9830850842553892,
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"lm_q2_score": 0.8633916134888613,
"openwebmath_perplexity": 261.9563532840228,
"openwebmath_score": 0.46134647727012634,
"ta... |
# Documentation
### This is machine translation
Translated by
Mouse over text to see original. Click the button below to return to the English verison of the page.
# istril
Determine if matrix is lower triangular
## Description
example
tf = istril(A) returns logical 1 (true) if A is a lower triangular matrix; ot... | {
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"tags": ... |
eventually makes no mistakes. Dataset MUST be linearly separable. For example, in the following image representing a binary classification problem, the decision boundary is the frontier between the orange class and the blue class:. Since the kernel feature space can be invisible, in the training stage, the higher dimen... | {
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"lm_q1_score": 0.9857180656553329,
"lm_q1q2_score": 0.825657134006785,
"lm_q2_score": 0.8376199673867852,
"openwebmath_perplexity": 961.3748683124404,
"openwebmath_score": 0.6365987062454224,
"tag... |
rectangle the.: Take two pens or pencils of the 5 criteria below, then it is a parallelogram whose. Yes, one pair of opposite sides are congruent converses of parallelogram: opposite sides are congruent have... = 18 m 2 Exchange is a parallelogram is the interior of the length! Two lines are parallel - show that both p... | {
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"id": null,
"lm_label": "1. Yes\n2. Yes\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.96741025335478,
"lm_q1q2_score": 0.8123672426561962,
"lm_q2_score": 0.8397339596505965,
"openwebmath_perplexity": 469.2313955256771,
"openwebmath_score": 0.5885716080665588,
"t... |
ros, ros-melodic, ros-industrial, fanuc
Our research focuses on force-controlled metal finishing processes for custom manufacturing (preferably) using collaborative robots.
Unless you can use J519 (which is incompatible with collaborative robots afaik), I would not do this with Fanucs (except when using Fanucs built-... | {
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Another example: $\mathbf{d} = (2,2)$, so $S(\mathbf{d})$ could be $\{a,a,b,b\}$. Let $k_1 = 1$, $k_2 = 1$, and $k_3 = 2$. There are $3$ ways of doing this: $\{\{a\},\{a\},\{b,b\}\}$, $\{\{b\},\{b\},\{a,a\}\}$, and $\{\{a\},\{b\},\{a,b\}\}$. So $\binom{(2,2)}{(1,1,2)}=3$.
## My Attempts
I've tried to figure this out ... | {
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"openwebmath_score": 0.684150218963623,
"tags"... |
python, performance, matrix
self.image_matrix[self.y_axis.index(y_coordinate)][self.x_axis.index(x_coordinate)] = value
def fill_from_pandas(self, pandas_df: pd.DataFrame) -> None:
"""
Fills up the matrix from a pandas long table
assuming the table has following structure:
BIN1 ... | {
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"tags": "python, performance, matrix",
"url": null
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# Is it possible to solve a differential equation without analytical term?
I have been confused by this differential equation for several days. I have an equation like this:
$$my′′(t)=cV′(y(t))−ny′(t)$$
Where m,c,n are known parameters. And V(y(t)) is a two dimensional coordinate data set $$(y(t1),V1),(y(t2),V2),...... | {
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"lm_q1q2_score": 0.8292595194615218,
"lm_q2_score": 0.8539127529517044,
"openwebmath_perplexity": 544.6017017585355,
"openwebmath_score": 0.6764506697654724,
"tag... |
quantum-mechanics, quantum-entanglement
Title: How does a quantum radar work? There have been recent news reports where China has claimed to have developed a quantum radar.
What is the mechanism of action of quantum radar and how does it make use of quantum mechanical principles to gain greater detection capabilities ... | {
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"tags": "quantum-mechanics, quantum-entanglement",
"url": null
} |
spacetime, faster-than-light, causality
Title: If the method of FTL cannot be observed, does it still break causality So, say we discover a method of FTL. However, anyone or anything that makes use of this FTL is unable to be observed by the outside world.
For example.
In the year 3000 a ship leaves Earth headed 6 li... | {
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"tags": "spacetime, faster-than-light, causality",
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• So it's not distributing the square root to all the items in the left side of the equation, it's instead square rooting them all at once? – MrHost56 Jun 7 '15 at 20:54
• And I understand how substitution method works, just not why you can just pull something out of thin air like that. Why is possible for me to just s... | {
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"openwebmath_score": 0.8266885280609131,
"ta... |
quantum-mechanics, hilbert-space, schroedinger-equation, potential-energy, harmonic-oscillator
Title: Vanishing zero point energy in harmonic oscillator In classical mechanics, adding a constant to the potential changes nothing. In quantum mechanics, this just shifts the energy and multiples the wavefunction with a ph... | {
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"tags": "quantum-mechanics, hilbert-space, schroedinger-equation, potential-energy, harmoni... |
python, performance, python-3.x, tree, hash-map
if __name__ == '__main__':
unittest.main()
Basically, I do a DFS (depth-first search) of the tree for the first node (Time: \$O(n)\$ and Space: \$O(1)\$) and then I get the recursive callbacks to add the path to a hashmap (Time: \$O(logn)\$ Space: \$O(n)\$). The sec... | {
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"tags": "python, performance, python-3.x, tree, hash-map",
"url": null
} |
quantum-mechanics, wavefunction, quantum-entanglement, wavefunction-collapse
Title: If I have a two-electron problem, and I measure the position of one electron. What happens to the quantum description of the other? Suppose I have a two-electron system, and they are left alone for a long time, such that I do not know ... | {
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"tags": "quantum-mechanics, wavefunction, quantum-entanglement, wavefunction-collapse",
"... |
neuroscience, neuroanatomy
Title: Are cortical columns restricted to somatosensory cortical sections? From this previous question, it seems like evidence for the minicolumn organisation of the neocortex seems to be primarily based off observations around the sensory parts of the cortex, such as the primary visual cort... | {
"domain": "biology.stackexchange",
"id": 4998,
"lm_label": null,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "neuroscience, neuroanatomy",
"url": null
} |
eyes, human-genetics, human-eye
Iris Recognition vs. Retina Scanning
Iris and retinal scanning are ocular based biometric identifiers. Iris recognition uses a camera to capture image of the iris. Iris is the only internal organ visible from outside the body. Iris scanners can acquire an image of the eye from a distanc... | {
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"tags": "eyes, human-genetics, human-eye",
"url": null
} |
python, time-limit-exceeded
Title: Given a number, find a multiplier to make a product whose digits are increasing or decreasing I found a problem where I have been given a set of numbers. One has to find for each number the smallest positive integer such that the product of the number and the integer gives a number w... | {
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"tags": "python, time-limit-exceeded",
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complexity-theory, computability, regular-languages, rice-theorem
Now let $⟨M,w⟩\not\in A_{\text{TM}}$ be the input to $S$. Let us see how $S$ runs according to its specification.
First, construc $M_w$. Since $M$ do not accept $w$, $M_w$ simulate $T_\emptyset$.
Use TM $R_P$ to determine whether $⟨M_w⟩ \in P$. Since $... | {
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"tags": "complexity-theory, computability, regular-languages, rice-theorem",
"url": null
} |
java, beginner, object-oriented
Title: Object Oriented Ascii dungeon game I have solved an assignment (Exercise 33) from the MOOC Object-Oriented programming with Java, part II, but I'm not enrolled in said course.
Assignment Summary
In this exercise, you implement a dungeon game. In the game, the
player is in a d... | {
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"openwebmath_score": null,
"tags": "java, beginner, object-oriented",
"url": null
} |
thermodynamics, entropy
Title: Entropy and atomic collisions Suppose there is a beam of atoms moving with constant velocity in empty space. There are no collisions between the atoms. The temperature is essentially zero since velocities of atoms are all equal to the velocity of the center of mass.
Now let’s trap the a... | {
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"tags": "thermodynamics, entropy",
"url": null
} |
gravity
Suppose the hemisphere slides. As it slides, the fluid behind hole in the wall will be exposed. This will increase the total surface area of the fluid. The basic physics of surface tension tells us that the increase of this surface area is related to the work done by gravity on the hemisphere,
$$
\Delta E = \g... | {
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"url": null
} |
c
if(allosize == 0) {
switch(type) {
case DTYPE_S32: allosize = 4; break;
case DTYPE_U32: allosize = 4; break;
case DTYPE_U64: allosize = 8; break;
default:
printf("alloc_encode error!!! no datasize for data type %u\n", type);
return 0;
}
}
allosize += 5; /* a... | {
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"tags": "c",
"url": null
} |
javascript, beginner, html, angular.js, calculator
vm.squared = squared;
vm.square = square;
vm.add = add;
vm.subtract = subtract;
vm.divide = divide;
vm.multiply = multiply;
init();
function init() {
console.log(vm.result);
var arrayLen... | {
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php, object-oriented
is abaslutely not how it works. You've got to make the id field auto_increment PRIMARY KEY in the table, and it will be assigned automatically and without the risk of collisions.
Your idea on using exceptions is also wrong. As well as on the variable scope. To catch every exception on the spot is ... | {
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"url": null
} |
ros, urdf, sdf
Originally posted by DevonW with karma: 644 on 2014-07-16
This answer was ACCEPTED on the original site
Post score: 2
Original comments
Comment by arennuit on 2014-07-16:
Thanks! Hence what is the best practise today to use URDF and SDF on a large project? You write URDF by hand and convert to SDF usin... | {
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"tags": "ros, urdf, sdf",
"url": null
} |
c, linked-list, memory-management
#include "linkedlist.h"
#include "memory.h"
#include <stddef.h>
typedef struct LinkedList LinkedList;
typedef struct LinkedListNode LinkedListNode;
struct LinkedList {
LinkedListNode* first;
LinkedListNode* last;
size_t length;
MemAlloc* allocator;
};
struct LinkedLi... | {
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"openwebmath_score": null,
"tags": "c, linked-list, memory-management",
"url": null
} |
black-holes, time-dilation, ligo
Title: LIGO Observation Reconciled with Falling Object Never Seen to Cross Event Horizon I've read that an observer watching an object fall toward a black hole will never see it cross the event horizon. For example, see the following Stack Exchange question.
How can anything ever fall... | {
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"tags": "black-holes, time-dilation, ligo",
"url": null
} |
By completeness of $(X,d)$, there exists $x \in X$ such that $x_n \rightarrow x$.
Let $t = f(x) \in f(X) = C$.
By the continuity of $f$, we have $t = f(x) = f(lim_{n \rightarrow \infty }x_n) = lim_{n \rightarrow \infty }f(x_n) = lim_{n \rightarrow \infty } t_n$
We have the conclusion $t_n \rightarrow t \in C$, i.e. ... | {
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"lm_q2_score": 0.8152324826183822,
"openwebmath_perplexity": 77.6100582581016,
"openwebmath_score": 0.9757330417633057,
"tags"... |
eq2= a1*b - a*a4 - a*a3 + a2*b + a7*b - a8*c;
eq3=a1*d - a3*c - a6*c - a2*c + a4*d + a5*d;
eq4=a^2*a3 + a^2*a4 + a1*b^2 + a2*b^2 + a7*b^2 + a8*c^2;
eq5=a*a3*c - a2*b*c - a*a4*d + a1*b*d-1;
eq6=a2*c^2 + a3*c^2 + a6*c^2 + a1*d^2 + a4*d^2 + a5*d^2;
eq7=a1*b^3 - a^3*a4 - a^3*a3 + a2*b^3 + a7*b^3 - a8*c^3;
eq8=a1*d^3 ... | {
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"lm_q1_score": 0.9840936078216782,
"lm_q1q2_score": 0.8200694034136066,
"lm_q2_score": 0.8333245911726382,
"openwebmath_perplexity": 819.4337056270424,
"openwebmath_score": 0.8307120203971863,
"tag... |
matching
as there are more than 1 way of ordering the pixels to get the desired shape. Is there a way to handle this as well with Frechet algorithm? If not, what algorithm should be used? One approach is to apply Procrustes analysis to superimpose the shapes, then use the sum of the squares distances between each pair... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "matching",
"url": null
} |
jenkins
Title: How to change Jenkins dev branch?
I changed the devel_branch field of my Indigo release (https://github.com/rospilot/rospilot-release/blob/master/tracks.yaml), as it was previously tracking master. However, the Jenkins job (http://build.ros.org/job/Idev__rospilot__ubuntu_trusty_amd64/51/) is still trac... | {
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"id": 25089,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "jenkins",
"url": null
} |
python
Roll = namedtuple('Roll', 'total roll')
def main(args):
while True:
# Get N of dice from user or quit.
n = get_user_input()
if not n:
break
# Roll dice.
user = dice(n)
pc = dice(n)
# Report.
msg = get_result(user, pc)
print... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python",
"url": null
} |
javascript, animation
Title: Displaying image for the selected year I have the following code and I'm trying to find a cleaner way to run the year functions. At the moment I have 5 years as divs with an onclick event to bring the appropriate year image into view. So if you click on 1950, the 1950 year image will appea... | {
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"openwebmath_score": null,
"tags": "javascript, animation",
"url": null
} |
linear-algebra, terminology-and-notation, projection-operator
Title: How to write down product operators acting on non-adjacent subsystems? Given the following fusion gate (type-2) which is projecting 2 qubits to an even state
$$F_{ZZ}=(\langle00|+\langle|11|)$$
I would like to find the operator for the bigger space. ... | {
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"id": 4115,
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"openwebmath_score": null,
"tags": "linear-algebra, terminology-and-notation, projection-operator",
"url": n... |
When we correct the network using the "high-quality "gradient we are trying to get that one unified weight vector (or mininma of the error surface) which would fit the entire data i.e. all the training examples.
The gradient from each separate example (though having different direction on the error surface initially) ... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9711290897113961,
"lm_q1q2_score": 0.8175213822186533,
"lm_q2_score": 0.8418256551882382,
"openwebmath_perplexity": 484.38191888103654,
"openwebmath_score": 0.7733660340309143,
"ta... |
optics, laser
Title: Why shouldn't we shine laser light back into the laser? After every laser there is an optical isolator that ensures the laser light cannot re-enter the laser, if reflected and sent back.
What would actually happen if this were to happen? Would the laser break because of too much power? Its not tru... | {
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "optics, laser",
"url": null
} |
ros
Title: robot understand human language
Is there any packages or tutorials about that robot understanding what I’m saying.while I’m not talking about speech recognition or voice recognition. I`m talking about robot understanding human words.
Originally posted by feixiao on ROS Answers with karma: 15 on 2015-08-02... | {
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"openwebmath_score": null,
"tags": "ros",
"url": null
} |
particle-physics, black-holes
Title: Negatve mass inside a black hole With Hawking radiation, one half of virtual pair falls into horizon and this particle has negative energy.
What would an observer inside horizon observe when seeing negative particles ?
How do these negative particles interact with ordinary matter ?... | {
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"tags": "particle-physics, black-holes",
"url": null
} |
# Classify up to similarity all complex $3 \times 3$ matrices A such that A such that ${A^3} = 2{A^2} - A$
Classify up to similarity all complex $3 \times 3$ matrices A such that A such that ${A^3} = 2{A^2} - A$.
Here is what I know: All matrices with complex entries have Jordan canonical forms. If matrices are simil... | {
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"lm_q1_score": 0.9811668690081642,
"lm_q1q2_score": 0.8044521751599557,
"lm_q2_score": 0.8198933337131076,
"openwebmath_perplexity": 90.00378240374023,
"openwebmath_score": 0.908693790435791,
"tags... |
organic-chemistry, reaction-mechanism
Title: Reaction of aldoxime and a ketoxime with acetic anhydride In mt book I saw these two reactions:
I don't know what is the mechanism for these reactions & that's why I am unable to understand how these products are formed & why they are so different. Please explain the mecha... | {
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"tags": "organic-chemistry, reaction-mechanism",
"url": null
} |
One way to do it is to let $x_1 = t$ and $x_2=s$ and then solve for $x_3$.
-
but how can i get to that result i wrote? – Marco Greselin Jun 1 '12 at 14:18
Look at $x_2$ and $x_3$ in your case, can you then somehow get $x_1$? – Sean Jun 1 '12 at 14:20
Many thanks for writing me back. But if I just follow what you wro... | {
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"lm_q1_score": 0.9877587268703082,
"lm_q1q2_score": 0.8355870191268113,
"lm_q2_score": 0.8459424314825853,
"openwebmath_perplexity": 417.8990910622319,
"openwebmath_score": 0.9049439430236816,
"tag... |
game, sql, postgresql
Tap X target creatures. Scry 1. (Look at the top card of your library. You may put that card on the bottom of your library.)
What is needed to store about this action? We know that the card played was a "Glimpse the Sun God", we have the card id, player id, action id. Now, we need to store the v... | {
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"openwebmath_score": null,
"tags": "game, sql, postgresql",
"url": null
} |
ros, opencv, video
Title: Send a video from ROS to OpenCV app
Hello,
I want to publish a .avi/mp4 file through ROS to my OpenCV app. How do I do so?
Originally posted by Zig on ROS Answers with karma: 1 on 2017-02-22
Post score: 0
This is something gscam can do for you.
Originally posted by gvdhoorn with karma: 86... | {
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"tags": "ros, opencv, video",
"url": null
} |
resonance, vibrations
Title: Does the significance of frequency domain imply the resonance? Two mobile phone, A and B, are placed on the top of a wooden desk without direct contact, the gap between these two phones is about 5 centimeters.
When A is vibrating, e.g., a call comes in, a time series data is captured by B'... | {
"domain": "physics.stackexchange",
"id": 22949,
"lm_label": null,
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"lm_q1_score": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "resonance, vibrations",
"url": null
} |
statistical-mechanics, collision, plasma-physics, stochastic-processes
Pitch Angle Scattering Operator
Assuming the field particles are distributed as Maxwellians,
\begin{align}
f_\beta
&= n_\beta \left(\frac{m_\beta}{2\pi T_\beta}\right)^{3/2} \exp{\left(-\frac{m_\beta \mathbf v^2}{2 T_\beta}\right)},
\end{align}
wit... | {
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"tags": "statistical-mechanics, collision, plasma-physics, stochastic-processes",
"url": ... |
magnetic-fields, resource-recommendations, plasma-physics, sun, solar-wind
Title: Best numerical simulations of Sun's magnetic field I was trying to find some simulations of the Sun's magnetic field. Which ones are the most accurate to date?
I was trying to find some simulations of the Sun's magnetic field.
A good p... | {
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"id": 75990,
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"openwebmath_score": null,
"tags": "magnetic-fields, resource-recommendations, plasma-physics, sun, solar-wind",
"ur... |
general-relativity, metric-tensor, coordinate-systems, tensor-calculus
Title: Why Eddington-Finkelstein coordinates for the Vaidya metric? I've seen that Vaidya metric does not use the Schwarzschild metric, but instead to get it you simply go to Eddington-Finkelstein coordinates and there put mass as a function of ret... | {
"domain": "physics.stackexchange",
"id": 95864,
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"tags": "general-relativity, metric-tensor, coordinate-systems, tensor-calculus",
"url": ... |
therefore in order to have convergence we need $$k=1$$ in such way that the $$\frac1x$$ term cancels out.
Then we need to solve and evaluate
$$\int_{0}^{\infty}\left (\frac{1}{\sqrt{x^2+4}}-\frac{1}{x+2}\right)\text dx=\left[\sinh^{-1}\frac x 2 -\log (x+2)\right]_{0}^{\infty}$$
and to evaluate the value at $$\infty$... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9683812345563904,
"lm_q1q2_score": 0.8131826221393851,
"lm_q2_score": 0.8397339736884711,
"openwebmath_perplexity": 471.7296165921789,
"openwebmath_score": 0.9548212885856628,
"tag... |
php, beginner, array, mysqli
I will address your question on the unset(). Which is now moot because it never should have existed at that point.
The short answer on removing the unset is the unset destroys the variable $iii if the unset are both in global scope. If this were an include called from a function and $iii ... | {
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"tags": "php, beginner, array, mysqli",
"url": null
} |
kilogram meters per second -- > ( *! Celeb News within the sections Markets, Business, Showbiz, Gaming and! Body is known as momentum of a body is known as momentum of the mass velocity... In meter / sec ( meters per second -- > ( kg m. Differences between ( any two ) elastic and inelastic collision mass, velocity, and... | {
"domain": "lomco.ca",
"id": null,
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9372107896491796,
"lm_q1q2_score": 0.8223807143961331,
"lm_q2_score": 0.8774767890838836,
"openwebmath_perplexity": 1568.941211268454,
"openwebmath_score": 0.7047728300094604,
"tags": null,... |
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