text stringlengths 1 1.11k | source dict |
|---|---|
with opposite sides parallel you Can rotate the two diagonals this. “ maybe. ” diagonals of a parallelogram are not equal will divide the shape into similar! Split the figure into 2 pairs of congruent triangles opposite corners ) bisect each other opposite corners bisect... Are equal in length calculations include side... | {
"domain": "webreus.net",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9702399043329856,
"lm_q1q2_score": 0.8340800820301003,
"lm_q2_score": 0.8596637577007394,
"openwebmath_perplexity": 787.70550087338,
"openwebmath_score": 0.734754204750061,
"tags": n... |
ros, sensor, time
For example, some data from the imu is like this:
20.092, 0.517179, 0.00451321, 9.80055
20.092, -0.0139723, 0.00388159, 9.80482
20.092, -0.0058133, 0.00101918, 9.80735
20.092, 0.0031343, -0.00360347, 9.80619
20.092, 0.00066209, -0.00248975, 9.80001
20.192, 0.485803, 0.00368372, 9.80928
Please advise... | {
"domain": "robotics.stackexchange",
"id": 28141,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "ros, sensor, time",
"url": null
} |
php, array, json
foreach($json as $keys1 => $values1){
if($values1 == 0 || $values1 == "" || $values1 == "Api " || !isset($values1) ){
unset($json[$keys1]);
}else{
if(is_array($values1)){
foreach($values1 as $keys2 => $values2){
if($values2 == 0 || $values2 == "" || ... | {
"domain": "codereview.stackexchange",
"id": 43994,
"lm_label": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "php, array, json",
"url": null
} |
ros, rviz, moveit, motionplanning
<link name="rotatory_base">
<inertial>
...
</inertial>
</link>
<joint name="q0" type="revolute">
<parent link="rotatory_base"/>
<child link="rotatory_drive"/>
<origin rpy="1.57079632679 0 1.57079632679" xyz="0.07 0 0"/>
<axis xyz="0 0 1"/>
<!-- j... | {
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"openwebmath_score": null,
"tags": "ros, rviz, moveit, motionplanning",
"url": null
} |
javascript, library
var r2 = r2 == null ? r1 : r2;
var r3 = r3 == null ? r1 : r3;
var r4 = r4 == null ? r2 : r4;
r4 = r4 == null ? r1 : r4;
this.beginPath();
this.moveTo(x, y + r1);
this.quadraticCurveTo(x, y, x + r1, y);
this.lineTo(x + w - r2, y);
this... | {
"domain": "codereview.stackexchange",
"id": 2365,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "javascript, library",
"url": null
} |
Let $\varepsilon>0$. There exists an $N$ such $|b_n|\leq\varepsilon$ for all $n\geq N$.
Let $a_n=\frac{\alpha_n}{2^n}$ (this is where we use Lagrange's method: the solution for the homogeneous equation is $\frac{\alpha}{2^n}$, with $\alpha$ a constant and Lagrange suggests that we now turn $\alpha$ into a function $\a... | {
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"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9881308768564867,
"lm_q1q2_score": 0.858514559206388,
"lm_q2_score": 0.8688267711434708,
"openwebmath_perplexity": 127.50501798831874,
"openwebmath_score": 0.9626346826553345,
"tag... |
general-relativity, metric-tensor, computational-physics, time-evolution
Note that regions I and II of the above diagram (the black hole interior and exterior) are together not globally hyperbolic! This is because the behaviour of the metric in the interior of the black hole is not determined by the behaviour of the m... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "general-relativity, metric-tensor, computational-physics, time-evolution",
"url"... |
c++, beginner, object-oriented, strings
bool operator==(String const &lhs, String const &rhs)
{
return !(lhs < rhs) && !(lhs > rhs);
}
bool operator!=(String const &lhs, String const &rhs)
{
return !(lhs == rhs);
}
But as a result I think you have made these less efficient than they could be. I would define ... | {
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"openwebmath_score": null,
"tags": "c++, beginner, object-oriented, strings",
"url": null
} |
group-theory, group-representations
What I see mostly when dealing with $\operatorname{SO}(N)$ is a Lie-group generator centered parameterization like
$$R = \exp\left(\omega_{ij}J^{ij}\right),$$
where $\omega_{ij}=-\omega_{ji}$ is the matrix of parameters, and the $J^{ij}$ are the $\frac{N\cdot(N-1)}{2}$ generator mat... | {
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"openwebmath_score": null,
"tags": "group-theory, group-representations",
"url": null
} |
python, python-3.x, xml, lxml
# exceptions for tag
def add_tag_exception(shop, xml_element, offer_element):
if shop == 'lamoda' and xml_element.tag == 'model' and xml_element.text is not None:
offer_element['model'] = xml_element.text
if shop == 'asos' and xml_element.tag == 'model' and xml_element.te... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, python-3.x, xml, lxml",
"url": null
} |
quantum-mechanics, operators, hamiltonian, quantum-optics, bosons
Title: Bogoliubov transformation for a two mode bosonic Hamiltonian Suppose we have a Hamiltonian given by
\begin{align}
H &= \omega a^{\dagger}a + \omega b^{\dagger}b + g a^{\dagger}b^{\dagger} + g^{*} ab
\end{align}
where the operators obey the usual ... | {
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"openwebmath_score": null,
"tags": "quantum-mechanics, operators, hamiltonian, quantum-optics, bosons",
"url": null
... |
error-correction, stabilizer-code, fault-tolerance
For computation on realistic hardware, we need to convert a logical circuit $C$ to a fault-tolerant circuit $C_{FT}$, where $C_{FT}$ has the same logical outcomes as the that of $C$ with high probability.
The high probability is ensured by demanding that $C_{FT}$ be d... | {
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"tags": "error-correction, stabilizer-code, fault-tolerance",
"url": null
} |
– Izzy
Dec 15, 2020 at 18:12
• If you could write it, I'd be so thankful. I've looked everywhere but it's only making me even more confused. Should there be some conditions for deriving it or something? Dec 15, 2020 at 18:22
• I edited my original comment to show all the work! Let me know if any steps are unclear! It's... | {
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"lm_q2_score": 0.8198933381139645,
"openwebmath_perplexity": 140.3416037997931,
"openwebmath_score": 0.9263264536857605,
"tag... |
Select Page | {
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"lm_q1_score": 0.9585377261041521,
"lm_q1q2_score": 0.8147294397902969,
"lm_q2_score": 0.8499711775577736,
"openwebmath_perplexity": 1457.2614873037692,
"openwebmath_score": 0.8109865784645081,
"tags"... |
python
# Boiler plate database code
def boilerPlateDatabase():
engine = db.create_engine('sqlite:///xtransactions.sqlite')
connection = engine.connect()
metadata = db.MetaData()
census = db.Table('trans', metadata, autoload=True, autoload_with=engine)
query = db.select([census])
ResultProxy = c... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python",
"url": null
} |
-
But how do you use the ratio of sines of angles to compute the ratio of angles? – Adam Nov 12 '13 at 14:10
To determine the ratio of the angles directly, use the law of cosines: you have the lengths of each side (equivalent to a, b, c in the formula above.) Use them to calculate the respective angle, for each angle,... | {
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"lm_q2_score": 0.8354835411997897,
"openwebmath_perplexity": 446.80322432323817,
"openwebmath_score": 0.922185480594635,
"tags... |
c#, performance, file-system, xaml
namespace GameRoulette
{
public sealed partial class MainPage : Page
{
private IEnumerable<StorageFile> Files;
public MainPageViewModel PageViewModel { get; set; }
int i;
int fileCount;
int exeFileCount;
public MainPage()
... | {
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"tags": "c#, performance, file-system, xaml",
"url": null
} |
neuroscience, neurophysiology, action-potential
If so: Can the following conclusion be drawn: The time scale of a firing pattern1 depends on the number of ion channels at the trigger zone? This might be seen when looking at the rise time of a single action potential: If there is only one sodium channel, rise time will... | {
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"tags": "neuroscience, neurophysiology, action-potential",
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} |
java, unit-testing, junit
The if condition can't be false (the message field is final and has a non-null value), so the following is the same:
StringBuilder builder = new StringBuilder();
builder.append("AdvancedHelloWorld [");
builder.append("message=").append(getMessage());
builder.append("]");
return builder.toStri... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, unit-testing, junit",
"url": null
} |
gravity, acceleration
Title: How do I get the total acceleration from 3 axes? For a project I'm working on I'm using an accelerometer which measures acceleration in 3 directions, x, y and z.
My question is: How can I calculate the total acceleration in a certain direction from these 3 values?
Considering this simple g... | {
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"openwebmath_score": null,
"tags": "gravity, acceleration",
"url": null
} |
performance, sql, postgresql
"profiles_poster_image_id_fkey" FOREIGN KEY (poster_image_id) REFERENCES storage.images(id) ON UPDATE CASCADE ON DELETE SET NULL
"profiles_square_image_id_fkey" FOREIGN KEY (square_image_id) REFERENCES storage.images(id) ON UPDATE CASCADE ON DELETE SET NULL
Referenced by:
TABLE "ev... | {
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"openwebmath_score": null,
"tags": "performance, sql, postgresql",
"url": null
} |
combinatorics, permutations, stacks
consider elements $i$ and $j$
We know that $i$ gets out of stack before $j$ (this suffices to arrive at our contradiction) $(3)$
Now lets recap
Order of arrival $j,k,i$
Order of departure $i,j,k$
In order for this to happen we need
$(1)$ : $j$ enters the stack, gets out of stack be... | {
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"openwebmath_score": null,
"tags": "combinatorics, permutations, stacks",
"url": null
} |
formal-grammars, parsers
Title: Bottom-Up Parser With Leftmost Derivation I'm reading the book Parsing Techniques by Dick Grune et al. and in section 3.1.3 "Linearization of the Parse Tree" they introduce the notion of linearization:
[...] a parser can produce a list of rule numbers instead, which means that it linea... | {
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"tags": "formal-grammars, parsers",
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} |
python, python-3.x, mongodb, automation
return logs_object
def _inject_script(self,dns,script_path):
# Run script
proc = subprocess.Popen("python {} -dns {}".format(script_path,dns), stdout=subprocess.PIPE,
stderr=subprocess.STDOUT, shell=True)
# get output ... | {
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"tags": "python, python-3.x, mongodb, automation",
"url": null
} |
java, android, compiler
public static void println(String string, Handler handler) {
Bundle bundle = new Bundle();
bundle.putString("print", string);
Message message = new Message();
message.setData(bundle);
handler.sendMessage(message);
}
public void setfpath(final Str... | {
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"openwebmath_score": null,
"tags": "java, android, compiler",
"url": null
} |
beginner, bash, linux, shell, installer
# Allows all loopback (lo0) traffic and drop all traffic to 127/8 that doesn't use lo0
-A INPUT -i lo -j ACCEPT
-A INPUT ! -i lo -d 127.0.0.0/8 -j REJECT
# Accepts all established inbound connections
-A INPUT -m state --state ESTABLISHED,RELATED ... | {
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Well, I understand that the function must be of the form:
p(x) = ax^4 + bx^3 + cx^2 + dx + e
and that
p(0)=0
p'(0)=0
p(2)=2
but how do you know proceed?
I would be very gladful if someone could help me
Touches the x-axis at the origin means that the polynomial is of the form:
$p(x)=x^2 (ax^2+bx+c)$
and that $x=2... | {
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"lm_q2_score": 0.8244619220634456,
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"openwebmath_score": 0.809320867061615,
"... |
If a matrix $M_{m \times n}$ where $m+n = k-1 \geq 2$ contains a "good" cell, then a matrix $M'_{p \times q}$ where $p+q = k > 2$ also contains a good cell.
I started the proof itself like so:
Let $k > 2 \in \mathbb{N^+}$ and let $M_{m \times n}$ be a matrix as described in the problem where $m+n=k-1\geq2$ . We'll as... | {
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"lm_q1_score": 0.9793540698633749,
"lm_q1q2_score": 0.8074401388202161,
"lm_q2_score": 0.8244619220634457,
"openwebmath_perplexity": 143.76763479727836,
"openwebmath_score": 0.9011874198913574,
"ta... |
Hint Problem 3: You used the sum of a geometric series and in R I got the following output:
> 2300*(1+0.0035)^10
[1] 2381.78
For the rate of growth you have been given the information and depending on how you want to specify the variable, it can either be r = 1 + 0.0035 or r = 0.0035. In a geometric series formulation... | {
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"lm_q1_score": 0.9871787879966233,
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"lm_q2_score": 0.8104789063814617,
"openwebmath_perplexity": 452.9015280885927,
"openwebmath_score": 0.8510716557502747,
"tags"... |
energy, black-holes, astrophysics
Title: Utilising Black Holes as a potential energy source I'm aware of the Penrose process and the basic physics behind that. Also, I know that the Blandford-Zjanek process (That is potentially responsible for the relativistic jets). Aside from these two, and Hawking Radiation, what o... | {
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"openwebmath_score": null,
"tags": "energy, black-holes, astrophysics",
"url": null
} |
c, utf-8
static const uint8_t FF_MSK[] = {0xFF >>0, 0xFF >>0, 0xFF >>3,
0xFF >>4, 0xFF >>5, 0xFF >>0, 0xFF >>0, 0xFF >>0};
val = first & FF_MSK[len];
Some modern compilers can make additional optimizations if the pointers are known to not overlap - use restrict and const where applicable.
// int utf8_cp(char *tx... | {
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"tags": "c, utf-8",
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} |
c++, performance, c++11, reinventing-the-wheel, classes
MonoImage& operator=(MonoImage&& other) // Move Assign
{
image_size = std::move(other.image_size);
image_data = std::move(other.image_data);
return *this;
} | {
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"tags": "c++, performance, c++11, reinventing-the-wheel, classes",
"url": null
} |
ros, library, raspberrypi
Title: Using I2C with BCM2835 driver on the Raspberry Pi
Hi,
Im currently trying to use a Raspberry Pi with ROS with some success, roscore works fine and all is well and good with the exception of one problem.
Im using the BCM2835 driver available at http://www. airspayce.com/mikem/bcm2835/ ... | {
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"tags": "ros, library, raspberrypi",
"url": null
} |
javascript, image
#container {
position: absolute;
top: 100px;
left: 0;
width: 100%;
text-align: center;
z-index: 300;
}
#image_container {
position: relative;
width: 250px;
margin: 0 auto 0 auto;
z-index: 400;
}
img {
width:100%;
}
img.large {
width:100%;
z-index: 500;
}
#photo_i... | {
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"openwebmath_score": null,
"tags": "javascript, image",
"url": null
} |
(** Example 2: Find the primes between 10 and 50: **)
table2 = Table[Prime[i], {i, PrimePi[NextPrime[10]], PrimePi[NextPrime[50, -1]]}]
(* {11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47} *)
Length[table2]
(* 11 *)
(** Example 3: Find the primes between 11 and 47 (excluding 11 and 47): **)
table3 = Table[Prime[i], {i,... | {
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"openwebmath_score": 0.4479287564754486,
"ta... |
optics, visible-light, acoustics, vision, perception
Title: Musical notes and colors of a rainbow I have wondered that in an octave in piano there are seven primary notes, and also we observe mostly seven primary colors of a rainbow. I know we perceive logarithmically, that means we only care about relative difference... | {
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"openwebmath_score": null,
"tags": "optics, visible-light, acoustics, vision, perception",
"url": null
} |
electric-current, charge, conductors
Title: Why do current carrying conductors need to be uncharged? I’ve come across a lot of physics problems which ask of a current carrying wire has an electric field around it or will a current carrying conductor A induce charge on an adjacent grounded conductor B, and everywhere ... | {
"domain": "physics.stackexchange",
"id": 43286,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "electric-current, charge, conductors",
"url": null
} |
quantum-mechanics, solid-state-physics, electronic-band-theory
So again, the metal and semiconductor are treated the same: The states of both stay unchanged relative to the local vacuum level. The difference is that in a semiconductor, but not a metal, the Fermi level can shift relative to the electronic states.
Somet... | {
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"openwebmath_score": null,
"tags": "quantum-mechanics, solid-state-physics, electronic-band-theory",
"url": null
} |
ocean, ocean-currents, tides
What are these environmental effects?
How much are the local currents affected by these structures? As you have noted, this technology is new, and so far only small numbers of experimental tidal energy converters (TECs) have been deployed. For this reason, little has been possible in the w... | {
"domain": "earthscience.stackexchange",
"id": 668,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ocean, ocean-currents, tides",
"url": null
} |
inclination, amateur-observing
Title: How do I calculate the inclination of an object with an amateur telescope? Suppose I would like to calculate the inclination of a satellite from the ecliptic. Would it be possible to do this with an amateur telescope? How would I go about doing so? | {
"domain": "astronomy.stackexchange",
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"openwebmath_score": null,
"tags": "inclination, amateur-observing",
"url": null
} |
slam, theory
Note that the $\chi^2_k$ distribution has $k$ degrees of freedom. Why $\chi^2_k$? Any time you assume Gaussian (e.g., $\mathcal{N}(0,1)$) measurement noise, you will encounter the $\chi^2_1$ distribution because the two-norm squared of a $n$-dimensional vector of $\mathcal{N}(0,1)$ variables is equivalent... | {
"domain": "robotics.stackexchange",
"id": 585,
"lm_label": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "slam, theory",
"url": null
} |
classical-mechanics, harmonic-oscillator, linear-algebra
Title: Why are the solution coefficients for a harmonic oscillator proportional to minors of the determinant? I'm studying the oscillations of systems with more than one degree of freedom from Landau & Lifshitz's Mechanics Third Edition (for those who have the b... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "classical-mechanics, harmonic-oscillator, linear-algebra",
"url": null
} |
python, algorithm, classes
def reverse(self):
self.reversed = not self.reversed
def __getitem__(self, key):
return self.items[self._key(key)]
def __setitem__(self, key, value):
self.items[self._key(key)] = value
def _key(self, key):
if not isinstance(key, int):
... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, algorithm, classes",
"url": null
} |
condensed-matter, topology, topological-field-theory, topological-insulators, topological-phase
This model is somewhat boring, so let's imagine now that our lattice is bipartite; alternating adjacent sites are labeled $A$ and $B$. Each unit cell now consists of two sites, and the intracell hopping amplitude $v$ and in... | {
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"openwebmath_score": null,
"tags": "condensed-matter, topology, topological-field-theory, topological-insulators, topo... |
c#, object-oriented, .net, mvp, ado.net
using (SqlConnection sqlConnection = new SqlConnection(db.GetConnectionString))
{
using (SqlCommand sqlCommand = new SqlCommand(selectStatement, sqlConnection))
{
sqlConnection.Open();
using (SqlDataReader dataReader = sqlCommand.Execu... | {
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"id": 7821,
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"openwebmath_score": null,
"tags": "c#, object-oriented, .net, mvp, ado.net",
"url": null
} |
ros, bullet, tf2, tf-conversions, transform
Title: hydro tf::Transform misses .asBt() methods?
I'm moving from fuerte to hydro. As I'm interfacing with bullet directly for physical simulations I regularly used tf::Transform::asBt() which seems to be missing in the tf implementation for hydro. I see that bullet in hyd... | {
"domain": "robotics.stackexchange",
"id": 15087,
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"openwebmath_score": null,
"tags": "ros, bullet, tf2, tf-conversions, transform",
"url": null
} |
javascript, performance, jquery
}
;
}
@keyframes moveUp {
0% {
margin-top: 0;
}
to {
margin-top: -1em;
}
;
}
@-webkit-keyframes moveDown {
0% {
margin-top: -1em;
}
to {
margin-top: 0;
}
;
}
@keyframes moveDown {
0% {
margin-top: -1em;
}
to {
margin-top: 0;
}
;
}
... | {
"domain": "codereview.stackexchange",
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"openwebmath_score": null,
"tags": "javascript, performance, jquery",
"url": null
} |
$v + (-v) = \langle v_1 + (-v_1), \ldots, v_n + (-v_n) \rangle$ Definition of vector addition $v + (-v) = \langle 0, 0, \ldots, 0 \rangle$ Additive inverse in $\mathbb{R}$ (i.e. $r + (-r) = 0$ for all $r \in \mathbb{R}$.) $v + (-v) = 0$ Definition of a vector in $\mathbb{R}^n$
Distributive Law (Part 1):
Let $a \in \m... | {
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"lm_q1_score": 0.9901401455693091,
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"lm_q2_score": 0.8198933425148214,
"openwebmath_perplexity": 145.10868869740182,
"openwebmath_score": 0.9879993200302124,
"tags... |
c#, strings
I'm also confused with:
private const string IllegalCharacters = "\\" + "\"" + "'#,.[]{}" + " ";
I'll again extract this code into separate method:
replaceAllBannedCharacters(sb);
Separate method for replacing all banned symbols:
private static void replaceAllBannedCharacters(StringBuilder sb) {
strin... | {
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"tags": "c#, strings",
"url": null
} |
c++, object-oriented, template, c++17
// Bitwise |
template<typename T>
inline variable_t<Ty> operator|(const variable_t<T>& rhs) const {
int lhs = static_cast<int>(this->t);
int val = lhs | static_cast<int>(rhs());
return variable_t<Ty>(static_cast<Ty>(val));
... | {
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"tags": "c++, object-oriented, template, c++17",
"url": null
} |
graphs, trees
Fact 2: let $C_i$ be a connected component of size $> 1$, and $w\in C_i, w\neq v_i$ a vertex of degree $1$. Then there is a unique path from $w$ to $v_i$.
Proof of fact 2: suppose there are at least two paths from $w$ to $v_i$. WLOG, suppose $i \neq 1$ (if $i = 1$, just swap the role of $1$ and $k$). Th... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "graphs, trees",
"url": null
} |
organic-chemistry, nomenclature, stereochemistry
Title: Chiral center or not? Similar substituents, but still two possible structures! As far as I know, the central carbon shouldn't be a chiral center because it has two identical substituents. And yet, these two compounds should be different from each other.. Is it po... | {
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"tags": "organic-chemistry, nomenclature, stereochemistry",
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} |
• Sorry for late reply had problems with computer ! – user329017 Sep 8 '16 at 2:21
It's just the triangle inequality, $d (a,c) \le d (a,b) + d (b,c)$ applied twice.
$d (x_n,y_n)\le d (x_n,x)+d (x,y_n) \le d (x_n,x)+d (x,y)+d (y,y_n)$
So $d (x_n,y_n)-d (x,y)\le d (x,x_n) +d (y_n,y)$.
Likewise:
$d (x,y)\le d (x,x_n)... | {
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"openwebmath_score": 0.8416364192962646,
"tag... |
quantum-field-theory, conventions, symmetry-breaking, goldstone-mode
\\\Rightarrow \langle \Omega|[J^\mu(y),\phi_n(x)]|\Omega\rangle = \int \frac{d^4 p}{(2\pi)^3} \left(\rho_+^\mu(p)e^{ip(x-y)}-\rho_-^\mu(p)e^{-ip(x-y)}\right)
$$
Alternatively, the insertion of the complete set of states brings $d^3p/(2\pi)^3$, and in... | {
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"openwebmath_score": null,
"tags": "quantum-field-theory, conventions, symmetry-breaking, goldstone-mode",
"url": nu... |
I understand the necessity of the blue and green statements.
However, why is the (carmine) red necessary? At the beginning of each sentence, in orange, I declared the existence of only $k$ variables (ie $\color{#FF4F00}{r_1, ..., r_k}$), so there are simply no more variables that could serve as the $(k + 1), (k + 2), .... | {
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"lm_q1q2_score": 0.8297948976022675,
"lm_q2_score": 0.8947894604912848,
"openwebmath_perplexity": 585.5769022287835,
"openwebmath_score": 0.7939857840538025,
"tag... |
acid-base, equilibrium, ph, henderson-hasselbalch-equation
Yes. The concentrations (or more accurately, activities) used in the H-H equation are equilibrium concentrations.
In the case of a 0.5 M acetic acid/acetate ion buffer, we can, for most purposes, conclude that the initial molarity of the main system component... | {
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"openwebmath_score": null,
"tags": "acid-base, equilibrium, ph, henderson-hasselbalch-equation",
"url": null
} |
ros, messages, timestamp, rosbridge
Title: Can rosbridge set the timestamp of stamped messages?
Hello guys,
I am using rosbridge in my project and it would be great if the bridge could set the timestamps in messages passed through it as simple json messages. Is that supported somehow?
Cheers,
J.B.
Originally posted ... | {
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"tags": "ros, messages, timestamp, rosbridge",
"url": null
} |
quantum-mechanics, homework-and-exercises, pressure, hamiltonian
$$
P_n=-\frac{d}{dV}E_n
$$
In the nth energy eigenstate, with $l=0$, $E_n=\frac{n^2\pi^2}{2mR^2}$, $\hbar=1$. Note that $R=R(V)$ since $V=\frac{4}{3}\pi R^3$. Using the chain rule
$$
P_n=\frac{n^2\pi^2}{m}R^{-3}\frac{dR}{dV}=\frac{n^2 \pi}{4mR^5}
$$
It s... | {
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"openwebmath_score": null,
"tags": "quantum-mechanics, homework-and-exercises, pressure, hamiltonian",
"url": null
} |
c#, .net
/// <summary>
/// UniqueIdentifier
/// </summary>
UniqueIdentifier = 14,
/// <summary>
/// VarBinary
/// </summary>
VarBinary = 21,
/// <summary>
/// VarChar
/// </summary>
VarChar = 22,
/// <summary>
/// V... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c#, .net",
"url": null
} |
java, spring
import java.io.File;
import java.io.IOException;
import java.net.URISyntaxException;
import java.util.List;
import static bookstore.scraper.dataprovider.MerlinBookProvider.prepare15CrimeBooks;
import static bookstore.scraper.dataprovider.MerlinBookProvider.prepare5Bestsellers;
import static bookstore.scr... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, spring",
"url": null
} |
electromagnetism, quantum-spin
Title: Is it possible to increase a particle's spin and also increase the magnetic field of that particle? Particles are referred to as having "spin" and i was wondering what it is. Is it the rotation of a body around its own axis or is it something else? If it is the rotation of a body ... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "electromagnetism, quantum-spin",
"url": null
} |
classical-mechanics, coordinate-systems, hamiltonian-formalism, phase-space
H. Goldstein, Classical Mechanics.
$^1$ Whatever a CT means. | {
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"tags": "classical-mechanics, coordinate-systems, hamiltonian-formalism, phase-space",
"u... |
$$\frac{dy'}{dt} = \alpha y' + \beta u' + \gamma d'$$
The values of the constants \alpha, \beta, and \gamma are the partial derivatives of f(y,u,d) evaluated at steady state conditions.
$$\alpha = \frac{\partial f}{\partial y}\bigg|_{\bar y,\bar u,\bar d} \quad \quad \beta = \frac{\partial f}{\partial u}\bigg|_{\bar ... | {
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"openwebmath_score": 0.7025504112243652,
"tags": nul... |
object-oriented, classes, vba, excel, constructor
A concrete example, the CircleShape class with a default Constructor method:
VERSION 1.0 CLASS
BEGIN
MultiUse = -1 'True
END
Attribute VB_Name = "CircleShape"
Attribute VB_GlobalNameSpace = False
Attribute VB_Creatable = False
Attribute VB_PredeclaredId = True
Attri... | {
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"tags": "object-oriented, classes, vba, excel, constructor",
"url": null
} |
c++, chess
for (int i = 1; i <= numberOfMovesNorthEast; i++)
{
potentialBlockersToTheBishop |= utils::shiftCurrentSquareByDirection(bitboard, i * NORTH_EAST);
}
for (int i = 1; i <= numberOfMovesNorthWest; i++)
{
potentialBlockersToTheBishop |= utils::shiftCurrentSquareByDirection(bitbo... | {
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"openwebmath_score": null,
"tags": "c++, chess",
"url": null
} |
electromagnetism, photons, magnetic-fields, electric-fields, virtual-particles
Title: What force particle mediates electric fields and magnetic fields? The force carrier for magnetic fields and electric fields are supposedly photons. I don't get it:
1) Wouldn't that mean that a charged particle (e.g. an electron or e... | {
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"tags": "electromagnetism, photons, magnetic-fields, electric-fields, virtual-particles",
... |
ros, catkin, raspberrypi, cmake, raspbian
(MESSAGE):
Could NOT find Eigen (missing: EIGEN_INCLUDE_DIR)
Call Stack (most recent call first):
/usr/share/cmake-2.8/Modules/FindPackageHandleStandardArgs.cmake:288
(_FPHSA_FAILURE_MESSAGE)
/opt/ros/groovy/share/eigen/cmake/eigen-config.cmake:31
(find_package_handle_... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros, catkin, raspberrypi, cmake, raspbian",
"url": null
} |
c++, comparative-review, makefile
$(EXEC): $(OBJECTS) $(OBJECTS_TEST) $(OBJECTS_LIB)
g++ $(OBJECTS) $(OBJECTS_TEST) $(OBJECTS_LIB) -DBACKWARD_HAS_BFD -g -lpthread -lz -lhts -L $(HTSLIB) -o $(EXEC)
%.o: %.c
gcc -g -c -DBACKWARD_HAS_BFD -I src/htslib -I $(INCLUDE) -I $(EIGEN) -I ${BOOST} $< -o $@
%.o: %.cpp
... | {
"domain": "codereview.stackexchange",
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"lm_q1_score": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c++, comparative-review, makefile",
"url": null
} |
mercury
You can see the same smooth areas present in the mosaic if you view it in higher resolution at the link below.
https://messenger.jhuapl.edu/Explore/Images.html#global-mosaics
And, comparing the two mosaics, the smooth looking area is a copy of the low incidence angle image that has been used to replace missin... | {
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"tags": "mercury",
"url": null
} |
performance, php, laravel
$jobs = $partnerCompanyJobs
->merge($companyJobs)
->merge($sampleJobs)
->merge($somonJobs);
$jobCount = count($jobs);
if ($jobCount) {
$page = $request->page ?? 1;
$items = $jobs->forPage($page, 5);
retur... | {
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Edit: For example, suppose $\psi(k)\equiv0$. Then the product $(\prod_{k=n}^1 A_k)Y_1$ solves the recurrence relation $y_{n+2}=\phi(n)y_n$, with $Y_1 = [y_2 \ y_1]^T$ known. Solving this recurrence relation with Mathematica gives an awful mess. However, one can see that the matrix product $\prod_{k=n}^1 A_k = \begin{bm... | {
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"openwebmath_score": 0.6722418665885925,
"tag... |
filters, signal-analysis, moving-average, state-space
Title: $N$ point moving average filters in state space I am new to this filter, I did read about them, but could find out a state space notation of these:
$$y(n)=\frac{1}{N}\sum_{m=0}^{N-1}x(n-m)$$ | {
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"tags": "filters, signal-analysis, moving-average, state-space",
"url": null
} |
audio, preprocessing, cepstral-analysis
Title: voice recognition vs speech recognition MFCC I have a basic understanding of the acoustic preprocessing involved in speech recognition: divide the speech into frames, find the mel frequency cepstral coefficients of each frame, construct a feature vector from the MFCC's an... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "audio, preprocessing, cepstral-analysis",
"url": null
} |
rust
pub fn user_by_email(pool: &PgPool, user_email: &str) -> User {
use crate::schema::users::dsl::*;
let mut conn = get_connection(pool); | {
"domain": "codereview.stackexchange",
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} |
neuroscience
Title: How does Golgi's neural histological stain work? What is known about the targets of Golgi staining of neurons? Are larger neurons more likely to be stained? Are specific cell types more susceptible than others?
The current wikipedia article says the mechanism is still not fully understood. What is ... | {
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"tags": "neuroscience",
"url": null
} |
gazebo
Original comments
Comment by Daniel Vaz on 2013-02-05:
Did you follow the step 5 of http://gazebosim.org/wiki/1.4/install ?
Comment by siddharth950 on 2013-02-05:
Yes I did. Does anyone have a working 1.4.0 version on Ubuntu 12.04?
Comment by siddharth950 on 2013-02-06:
I got it working! I installed a new copy ... | {
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optics, condensed-matter, definition
Title: When does the characteristic length deem a layer infinitely thin? When reading Real-time terahertz imaging with a single-pixel detector a paragraph states:
"(...) these carriers will diffuse inside the semiconductor with a characteristic length around ~ 0.3 mm rendering the ... | {
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"tags": "optics, condensed-matter, definition",
"url": null
} |
algorithm, time-limit-exceeded, mathematics, delphi, object-pascal
Odd n left as exercise for the reader.
(I wrote this when the question title still said "1 − 2 + 3 − 4 + · · ·", can't be bothered to switch all signs now.) | {
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"tags": "algorithm, time-limit-exceeded, mathematics, delphi, object-pascal",
"url": n... |
python, algorithm, programming-challenge, interview-questions, balanced-delimiters
Title: Longest Valid Parentheses This is the "Longest Valid Parentheses" problem from leetcode.com:
Given a string containing just the characters "(" and ")",
find the length of the longest valid (well-formed) parentheses substring.
... | {
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forces, interactions, conservative-field
However, general relativity is non-conservative, as seen in the anomalous precession of Mercury's orbit. However, general relativity can be shown to conserve a stress-energy-momentum pseudotensor.
The first sentence is wrong, because Mercury's anomalous precession can be descr... | {
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"tags": "forces, interactions, conservative-field",
"url": null
} |
python
Is it really necessary to keep limit 80 chars per line? I tried to keep it, but sometimes I let one or two chars go.
As last time, thank you for any suggestion on improving my coding practices. I really need to be bashed.
"""This script will perform bayesian monophyly test on output from MrBayes or BEAST."""
fr... | {
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"url": null
} |
biochemistry, entropy, free-energy, proteins, structural-biology
Notice, however, that an energy function which contains solvent-solvent, solvent-residue, and residue-residue interactions implicitly contains this entropic effect. This comes by maximizing solvent-solvent and solvent-residue interactions. In order for t... | {
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... |
bacteriology
Another reason is that if you use the tap and replenish the water with new contaminated water regularly, the filter feeders will probably not filter all water in the tank, and the outflow from the tap will still contain the contaminant. This is certainly the case if the tank is also the culture vessel for... | {
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} |
A simple answer that almost works is $f(x)=g(x)=-x,h(x)=x$ with the only problem being $f=g$ but we can patch that up by making each one the identity on different parts of the real line. Split the reals into $|x| \gt 2,1 \le |x| \le 2, |x| \lt 1$. Make each the identity on one part and $-x$ on the other two.
Explicitl... | {
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"tag... |
Am I correct?
I think bandit is correct. That was also the way i found the answer.
Manager
Joined: 22 Jan 2010
Posts: 121
Followers: 2
Kudos [?]: 4 [0], given: 15
Re: Average Accelerated: Guide to solve Averages Quickly [#permalink] 23 Jan 2010, 11:36
This is a big help thanks! I'm solving average related problems ... | {
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"openwebmath_score": 0.5628318786621094,
"tags": ... |
forces, energy, work, velocity, power
So I changed the scenario a bit, imagine that I'm pushing a car at a constant velocity, according to the definition, I'm not doing work on the car, but that doesn't seem very intuitive to me. I'm clearly exerting my energy to push the car which eventually exhausts me.
Coming back ... | {
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"tags": "forces, energy, work, velocity, power",
"url": null
} |
general-relativity, curvature, stress-energy-momentum-tensor
Conclusions
Gravity needs not to be attractive, that is a of the matter content of the theory. In principle, General Relativity does not forbid you from having repulsive gravity, as long as you give it the right matter content. This is just a consequence of ... | {
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"tags": "general-relativity, curvature, stress-energy-momentum-tensor",
"url": null
} |
filters, lowpass-filter
Title: Unable to low pass filter the signal I am trying to use a basic example of a low pass filter as shown in the example:
https://de.mathworks.com/help/signal/ref/lowpass.html
However, I change the frequency:
fs = 20e6;
t = 0:1/fs:1;
x = [1 2]*sin(2*pi*[70e3 300e3]'.*t) + randn(size(t))/10;
... | {
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"openwebmath_score": null,
"tags": "filters, lowpass-filter",
"url": null
} |
units, eigenvalue
Is it so? The units of the eigenvector can be anything you choose. Normally you want them to be dimensionless, but other choices can be sensible on occasion.
The reason that any dimension is valid is because if $X$ is an eigenvector, then $\mu X$ is also an eigenvector for any scalar $\mu$, which can... | {
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complexity-theory, np-complete, np-hard, complexity-classes, counting
In the case of MAX-SAT, we are given a CNF $x$ and a target $o$, and we need to determine whether some truth assignment satisfies at least $o$ clauses of $x$.
We say that an optimization problem is NP-hard if its decision version is NP-hard. In the ... | {
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The Attempt at a Solution
Let ##B## denote the event that at least 2 kings are drawn, and ##A## the event that at least 1 king is drawn. Because ##B## is a strict subset of ##A##,
$$P(B|A) = P(A \cap B)/P(A) = P(B)/P(A)$$
Compute ##P(A)##, ##P(A^c )## denotes the probability of not drawing a single king.
$$P(A) = 1 - ... | {
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"openwebmath_score": 0.8417617082595825,
"tags... |
c#, beginner, classes, constructor
Consider checking if (string.IsNullOrWhiteSpace(aReasonForInvalid)) and throwing an ArgumentNullException if it returns true.
On a related note, aReasonForInvalid doesn't need the a at the beginning. Simply calling it reasonForInvalid is enough. The phrase "reason for invalid" is als... | {
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molecules
Title: Are the molecular structures in textbooks and physical (or virtual) models what a molecular structure actually looks like? I do not mean, "How can we see an atom?". I've read those STM microscopes, etc. When I open a textbook on an atom it shows a structure. When I look at something more complex li... | {
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# Complement (set theory)
(Redirected from Set difference)
In set theory, a complement of a set A refers to things not in (that is, things outside of) A. The relative complement of A with respect to a set B is the set of elements in B but not in A. When all sets under consideration are considered to be subsets of a g... | {
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quantum-mechanics, operators, hilbert-space, schroedinger-equation, hamiltonian
But if you insist on doing the derivation in coordinate representation, you just need to integrate by parts twice, and use the vanishing of boundary terms:
$$
\begin{aligned}
\int\mathrm{d}^3x\left(\frac{\partial}{\partial t}\psi\right)^{*... | {
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... |
python
# print the numeric value and string value of the correct answers.
print "\nThe Correct Answers are:\n"
print sampler[0] + " - " , mydict_book[first], tstmnt
print sampler[1] + " - " , mydict_book[second], tstmnt
print sampler[2] + " - " , mydict_book[third], tstmnt
... | {
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visualization
Basis of the above detail, I think there is no need to use the entire dataset for visualization purpose. Consider an example, each country conducts a census survey to estimate its population of people. Such a dataset is huge both in size and in complexity. Do you think those statisticians use the complet... | {
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ros, visp-auto-tracker, ros-indigo
Originally posted by Abdu on ROS Answers with karma: 36 on 2018-02-02
Post score: 0
First of all, I would suggest that you go through the example here under the Detailed Description section because it is a minimum viable example. We got our UR3 to work with ViSP based on this exampl... | {
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temperature, weather
The thing that does matter is how the atmosphere absorbs heat from the sun. The atmosphere is really bad at capturing heat. If the Earth were a mirror, and the sunlight just bounced off the surface of the Earth, the Earth would be at close to absolute zero temperature, because the atmosphere is ne... | {
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"tags": "temperature, weather",
"url": null
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I have this question because two different set of n linearly independent vectors can form two different vector space with dimension n. It seems hard to ensure k1,k2...kn must form Q.
Let ##R## denote the vector space spanned by ##k_1,k_2,\ldots,k_n##. Since each ##k_j## is in ##Q## and ##Q## is a vector space, every li... | {
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"openwebmath_perplexity": 872.2561465580139,
"openwebmath_score": 0.9225500822067261,
... |
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