text stringlengths 1 1.11k | source dict |
|---|---|
complex-random-variable
$$
f_{ri}(r, i) = f_{r | i}(r\ |\ i) f_i(i)
$$
You noted the pdf of the real and imaginary parts individually:
$$
f_r(z) = f_i(z) = \frac{1}{\pi\sqrt{1-z^2}}
$$
That leaves the marginal pdf $f_{r | i}(r\ |\ i)$. Remember that for a given realization of the random variable $Z$, the two componen... | {
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lagrangian-formalism, neutrinos, effective-field-theory, majorana-fermions, leptons
You can convince yourself even the addition of new freak particles would not modify this rule, provided the gauge symmetries of the SM and Lorentz invariance are respected...
A more explicit, less abstract/elegant illustration of the p... | {
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"tags": "lagrangian-formalism, neutrinos, effective-field-theory, majorana-fermions, lepton... |
kinetics, software
Title: Is there are any universal methods or software for reaction rate modelling? In software like DWSIM are used databanks which contains enthalpy and entropy at 298 K and more other information about chemicals. This software can create a steady-state system, where showed state of matter, temperat... | {
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"openwebmath_score": null,
"tags": "kinetics, software",
"url": null
} |
thermodynamics, entropy
For an ideal gas that undergoes a reversible change in volume at constant temperature, we can also prove
$$ \Delta S^\star_{rev,T} = R \ln(V_f/V_i) $$
Combining the two expressions, we obtain the entropy change of an ideal gas with constant heat capacity undergoing any reversible change in temp... | {
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} |
c++, functional-programming, monads
var pop_front(var& exp); // Remove and return the front element from an ordered expression.
var pop_back(var& exp); // Remove and return the back element from an ordered expression.
/*************************************************************************************... | {
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For example:
$
6x^2 +11x -35
$
I've been doing this by trial and error but it takes too long. I tried googling "factoring quadratics" but when it comes to examples like this, they just use the quadratic equation to find the values of x assuming the whole equation was equal to zero in the first place. I don't think thi... | {
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"lm_q2_score": 0.8558511451289037,
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"openwebmath_score": 0.7728034853935242,
"ta... |
java, beginner, console
} else {
System.out.println(
"Hello, " + first + " " + last + " "
+ "your first and last name are different.");
full = first + last;
System.out.println("The length of your first name is: " + first.length());
... | {
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"openwebmath_score": null,
"tags": "java, beginner, console",
"url": null
} |
general-relativity, special-relativity, causality
If I understand correctly, $i^-$ and $\scr{I}^-$ have coordinates $r=\infty$ and $t=-\infty$ while $i^+$ and $\scr{I}^+$ have coordinates $r=\infty$ and $t=+\infty$. I would think, then that they can be parametrized with two variales, namely, the angles in a two-sphere... | {
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"tags": "general-relativity, special-relativity, causality",
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} |
just assume that if a child is called Victoria then it is female. I use straight up probabilities, so there is no risk of introducing unintended assumptions (at least I hope not). Let's say he has two children, A and B. We express the probability of each being female as P(A) = 1/2 P(B) = 1/2 This encodes our assumption... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9783846691281407,
"lm_q1q2_score": 0.8373516394498828,
"lm_q2_score": 0.8558511451289037,
"openwebmath_perplexity": 838.9512699130639,
"openwebmath_score": 0.8090196251869202,
"tag... |
javascript, jquery
$(document.body).append($form);
$form.submit();
Second of all, passing $form into the $ function is completely unnecessary, since $form is already a jQuery object. Just call $form.submit() directly.
Refactoring this into an object isn't really gaining you anything. Instead, you could opt for a na... | {
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proof-techniques, induction
$\mathbb{N}$ satisfies the induction principle. To see this, consider a predicate $P$ over the naturals, such that $P(0)$ is true and for all $n \in \mathbb{N}$, $P(n)$ implies $P(n+1)$. Let $\mathbb{N}_P$ be the set of naturals that satisfy $P$, i.e. $\mathbb{N}_P = \{n \in \mathbb{N} \mid... | {
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"tags": "proof-techniques, induction",
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# SOLUTIONS - CHAPTER 3 Sequences and Series 3.1 Sequences...
• Notes
• jeremiahbs
• 46
• 100% (1) 1 out of 1 people found this document helpful
This preview shows page 1 - 5 out of 46 pages. | {
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"openwebmath_score": 0.8797807693481445,
"tags": n... |
differential-geometry, coordinate-systems, calculus
I would highly appreciate people from a physics background to answer this question in an intuitive, "Feynman lectures" way, for lack of better words. Everyone's time is appreciated!
My argument for the comparison of volume elements across different coordinates system... | {
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"url": null
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javascript, beginner, node.js
In general, can this be improved? In modern versions of node.js (v6.0 or v4.x in strict mode) or when using an ES6 transpiler, you can use the ES6 class keyword:
class Student {
constructor(name, age, id) {
// always initialize all instance properties
this.name = name... | {
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Suppose $$x,y$$ are unit vectors and $$x\cdot y=a$$. Let $$w=ax$$. If we can show that $$w$$ is the orthogonal projection of $$y$$ on $$x$$, that does it, by definition of the cosine. So is $$y-w$$ orthogonal to $$x$$? Let's find the dot product: $$(y-w)\cdot x = (y\cdot x) - (w\cdot x)= a - a(x\cdot x) = a-a=0$$.
• t... | {
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"openwebmath_score": 0.932620644569397,
"tag... |
ros, gazebo, pr2, pr2-controller-manager, pr2-gazebo
I could see pr2 in gazebo for a second and then the process died, and the program was closed immediately
I can run it on my laptop, but get this problem on my PC. My OS is ubuntu 10.10, and I use ros-electric. I'm pretty sure that I've install all the required packa... | {
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"url": null
} |
rosbag, transform
Original comments
Comment by Benoit Larochelle on 2013-03-03:
This tool seems really useful (it could have its own page with many examples), but I don't see how to remove a particular TF. All TFs were published to /tf.
Comment by Procópio on 2013-03-03:
check my first example code, there you have to ... | {
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Mathematica, on the other hand, is fine with it.
Your summation is a geometric series in disguise. Write $$r:=0.8$$. Plugging in the definition of $$\theta(\cdot)$$, we see that the $$n=0$$ term must be handled separately. Your summation is then written $$1 + \sum_{n\ge1}|r^n-r^{n-1}|=1+\sum_{n\ge1}|r-1||r|^{n-1}.$$ T... | {
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"lm_q1_score": 0.9811668712109664,
"lm_q1q2_score": 0.8319978761450586,
"lm_q2_score": 0.8479677622198946,
"openwebmath_perplexity": 1424.9060232821046,
"openwebmath_score": 0.9983150959014893,
"ta... |
classical-mechanics, symmetry, hamiltonian-formalism, phase-space, galilean-relativity
$$\hat M=M\times \mathbb R^2\simeq\mathbb R^4=\{(q,p,\lambda,\epsilon):q,p,\lambda,\epsilon\in \mathbb R\}\tag{6}$$
with symplectic form
$$\hat \omega:\hat M\times \hat M\to\mathbb R:((q_1,p_1,\lambda_1,\epsilon_1),(q_2,p_2,\lambda_... | {
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"openwebmath_score": null,
"tags": "classical-mechanics, symmetry, hamiltonian-formalism, phase-space, galilean-relati... |
electrons, charge, conventions, quarks, confinement
Title: Why do we still call the electron charge the elementary (EM) charge? The electron is an elementary particle, part of the SM, pointlike, with no substructure, or spatial extent. Its intrinsic properties include its EM charge, which we still call the elementary ... | {
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"tags": "electrons, charge, conventions, quarks, confinement",
"url": null
} |
quantum-field-theory, particle-physics, quantum-electrodynamics
M.M. Broido, Green functions in particle physics, Reports on Progress
in Physics 32 (1969), 493-545.
The hydrogen atom is in QFT usually treated in an approximation where the proton is treated as an external Coulomb field (and some recoil effects are han... | {
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"tags": "quantum-field-theory, particle-physics, quantum-electrodynamics",
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} |
reinforcement-learning, policy-gradients, pytorch, reinforce, expectation
I know that expectations of a function can be written as below
$$\mathop{\mathbb{E}}[f(x)] =\sum p(x)f(x)$$
Then can we rewrite the first equations as
$$\mathop{\mathbb{E}_\pi }[r(\tau )\nabla log \pi (\tau )] \\= \mathop{\mathbb{E}_\pi }[r(\tau... | {
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"tags": "reinforcement-learning, policy-gradients, pytorch, reinforce, expectation",
"url": nul... |
classical-mechanics, solid-state-physics
We can derive the total elongation from the forces in the x direction as so where L is the width or length of the shape
$$d_x = (\epsilon_{x1} + \epsilon_{x2}) L_x$$
Since we know that poissons ratio, we know $\epsilon_{x2} = v \cdot \epsilon_y$
$$ d_x = (\frac{\sigma_x}{E} - v... | {
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"tags": "classical-mechanics, solid-state-physics",
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python, beginner, python-2.x, role-playing-game
def add_character_points():
attribute = raw_input("\nWhich attribute? Strength, Health, Wisdom or Dexterity?\n")
if attribute in my_character.keys():
amount = int(raw_input("By how much?"))
if (amount > my_character['points']) or (my_character['... | {
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"tags": "python, beginner, python-2.x, role-playing-game",
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html, css, inheritance
<li>
<p>Frankfurter meatloaf quis chuck, sunt jerky voluptate veniam ex aute commodo duis laboris labore. Sint dolor enim boudin pancetta culpa ham hock, laboris brisket veniam doner short loin velit qui duis.</p>
<span class="author">Oinky Sausagebreath</span>
</li>
<li... | {
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"tags": "html, css, inheritance",
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} |
cancer, toxicology, liver
Flouro-carbon compounds are terribly inert - thats why teflon is so tough. If PFOA is dangerous, then Teflon is > 10 million times less dangerous. If PFOA is dangerous, crossing the street is many more times dangerous.
Even PFOA will be eliminated from Teflon production, supposedly next y... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "cancer, toxicology, liver",
"url": null
} |
machine-learning, neural-network, convolutional-neural-network
Title: Convolutional neural network fast fourier transform I've read that some convolution implementations use FFT to calculate the output feature/activation maps and I'm wondering how they're related. I'm familiar with applying CNNs, and (mildly) familiar... | {
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... |
quarks
The first Omega- event in the Brookhaven bubble chamber
The theory developed further into SU(3)xSU(2)xU(1) with the strong interaction coming in strongly, and the charm, bottom and top resonances were discovered after the theoretical prediction, the charm with the j/Psi in the SLAC collider in 1974.
Then came... | {
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"tags": "quarks",
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capacitance, voltage, electrical-resistance
$V=I(R-\frac{j}{\omega C})$ where $j=\sqrt{-1}$.
So that treating the circuit as a potential divider one can write
$V_c=\frac{V}{R-\frac{j}{\omega C}}\frac{1}{j\omega C}$
or
$V_c=\frac{V}{j\omega RC+1}$
or in terms of the magnitudes
$V_{cmax}=\frac{V_{max}}{\sqrt{1+(\omega ... | {
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\begin{equation*}
v = a_1 v_1 + \cdots + a_k v_k
\end{equation*}
for some $$k$$, where $$a_k\neq 0$$. Then
\label{eq:expansion}
0 = Tv = (a_1 Tv_1 + \cdots + a_{k-1} Tv_{k-1}) + a_k Tv_k. \label{7.5.1}
Since $$T$$ is upper triangular with respect to the basis $$(v_1,\ldots,v_n)$$, we know that $$a_1 Tv_1 + \cdots + a_... | {
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"openwebmath_score": 0.9872646927833557,
"tags"... |
natural-language-processing
In short, the goal you set will probably require many more papers than expected. But if you succeed only the automated reading / summary part, you have a bright future ahead (let aside understanding, a way more contentious problem).
Just for the sake of putting an example, companies like Ir... | {
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java, beginner, inheritance
In addition to that concern, the following are also things you should consider:
The pi field on your Circle class should be private. There's no need to re-expose an already public constant in another way.
I would avoid the 'unit' default constructors. They don't help with anything. When wo... | {
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quantum-field-theory, particle-physics
+ Edit from comments: I am not really asking where particles come from, but rather "how"; i.e. in QFT are they treated as resulting naturally from the existence of quantum fields, or does the theory ignore this point altogether, or does it specify an external source for the fiel... | {
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We use the chain rule to find their derivatives:
$$H_1'(x) = e^{-(x^2 + 2x)^2} (2x + 2) \qquad H_2'(x) = e^{-(x^3 + 1)^2} (3x)$$
Therefore,
$$H'(x) = e^{-(x^2 + 2x)^2} (2x + 2) - e^{-(x^3 + 1)^2} (3x)$$
Is my calculation correct?
• A little mistake: derivative of $x^{3}+1$ is not $3x$. Jul 13, 2019 at 0:03
• The l... | {
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java, linked-list
Instead of passing null for next to the LinkNode constructor, create a second constructor that accepts just the data value. Optionally, the existing constructor may pass data to this new constructor so all fields are initialized it at most one place.
private LinkNode(T data) {
this.data = data;
} | {
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organic-chemistry, reaction-mechanism, aromatic-compounds, hydrocarbons, hyperconjugation
Here is some data on the relative rates for the electrophilic nitration of several aromatic compounds:
benzene=1, toluene=24, t-butylbenzene=15.7 (reference, p. 1060)
We see that t-butylbenzene undergoes electrophilic aromatic ni... | {
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c, assembly, virtual-machine
if (!CAN_PERFORM_MULTIPOP(vm))
{
vm->cpu.status.STACK_UNDERFLOW = 1;
return false;
}
vm->cpu.registers[REG4] = READ_WORD(vm, vm->cpu.stack_pointer);
vm->cpu.registers[REG3] = READ_WORD(vm, vm->cpu.stack_pointer + 4);
vm->cpu.registers[REG2] = READ_WORD(... | {
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"openwebmath_score": null,
"tags": "c, assembly, virtual-machine",
"url": null
} |
cell-biology, cell-culture
Has anyone experienced like this problem? Please share and if have, please give some valuable suggestions or references.
Thanks The single most likely reason for the contamination is that your frozen stock is contaminated. Assuming you've been properly trained in cell culture, you're worki... | {
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"tags": "cell-biology, cell-culture",
"url": null
} |
c_1, c_2,...,c_k,x_2} Since the c_i are in the ab representaion of the inversion sequence, {x_2,x_1} must be an 'a' or a 'b'. Call it c*. Also, since the complete inversion sequence has an ab representaion, the charater preceding the first x_1 in the subsequence must be the opposite of x_1, i.e.x_2 and the character th... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9736446517423791,
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"lm_q2_score": 0.8267117898012104,
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"openwebmath_score": 0.8336702585220337,
"tag... |
# Linear Algebra Notes
Notes on some linear algebra topics. Sometimes I find things are just stated as being obvious, for example, the dot product of two orthogonal vectors is zero. Well... why is this? The result was a pretty simple but nonetheless it took a little while to think it through properly. Hence, these not... | {
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"openwebmath_score": 0.9257659912109375,
"tags": n... |
inorganic-chemistry
Strong bases are like strong magnets. Strong acid is a strong donor. So the corresponding magnet is extremely small and weak. A tiny magnet + nail is able to donate its nail to any other base. A strong acid is able to donate its proton to any medium or strong base. | {
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c#, performance, io, winforms
}
private void bg_RunWorkerCompleted(object sender, RunWorkerCompletedEventArgs e)
{
object result = e.Result;
progressBar1.Dispose();
}
} I guess I was able to figure it out, not sure how I missed it but by simply adjusting the bg_DoWork the application loads... | {
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Summation Notation Worksheet 1 Introduction Sigma notation is used as a convenient shorthand notation for the summation of terms. For example: 1. We write X5 n=1 I Definition as an integral. I The derivative and properties. I The graph of the natural logarithm. I Integrals involving logarithms. I Logarithmic differentiat... | {
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c++, beginner, object-oriented, game, vectors
}
}
string letter2digit(char l)
{
switch (l)
{
case 'N': return "0";
case 'E': return "1";
case 'S': return "2";
case 'W': return "3";
default: return "0";
}
}
//return false if current->direction() == NULL, meaning you can connect
//ret... | {
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} |
Therefore $\cap_{n\in \mathbb N}U_n\ne A.$
Remark: One-member subsets of $I^2$ are closed $G_{\delta}$ sets in $\tau_2$ but the closed set $A$ is not $G_{\delta}$ in $\tau_2$.
• I do like this one, although the notation makes it quite hard to see at the first glance. – I_Really_Want_To_Heal_Myself Jun 18 '17 at 21:31... | {
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### Distribution Functions
For our next discussion, suppose that $$X$$ has the half-normal distribution with parameter $$\sigma \in (0, \infty)$$. Once again, $$\Phi$$ and $$\Phi^{-1}$$ denote the distribution function and quantile function, respectively, of the standard normal distribution.
The distribution function... | {
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"lm_q1_score": 0.9877587272306607,
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"lm_q2_score": 0.8128673087708698,
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"openwebmath_score": 0.9952647686004639,
"t... |
statistical-mechanics, atomic-physics, singularities, hydrogen, partition-function
I have thought that the spectrum tha I considered for energy values is for free atom in the space, and partition function maybe is defined for systems with finite volume.
So, this doubt however would me ask a problem. Can whe prove that... | {
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"tags": "statistical-mechanics, atomic-physics, singularities, hydrogen, partition-function",... |
312 inverse transform, 305 of a characteristic function, 308 of a convolution, 304 of a delta function, 307 of a derivative, 301 of a distribution, 306 of a Gaussian, 302. The Laplace transform has many important properties. The Heaviside step function multiplied by a straight line with unity gradient: The convolution ... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9875683476832692,
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"lm_q2_score": 0.8376199633332891,
"openwebmath_perplexity": 708.7659774314237,
"openwebmath_score": 0.91251099109649... |
terminology, definition, computational-physics, mathematics, differential-equations
Title: What do we exactly mean when we say that a problem has an analytical solution? What do we actually mean when we say that a certain problem has or does not have an analytical solution? I ask this because some systems that are sai... | {
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"tags": "terminology, definition, computational-physics, mathematics, differential-equation... |
exchange argument proof are as follows:. Proof by Contradiction. Assume 9x 2R+;9y 2R+;((x:y) > 50) ^(x 7) ^(y 7). Solution: Suppose √2 is rational. From this contradiction, then, we can only conclude that there is no integer solution to the equation. Thus the quality of your solution is at least as great as that of any... | {
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"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9822877012965886,
"lm_q1q2_score": 0.8120688194447785,
"lm_q2_score": 0.8267117855317474,
"openwebmath_perplexity": 400.88229711665093,
"openwebmath_score": 0.7787... |
javascript, game, canvas
index.html
<!DOCTYPE html>
<html lang="en-us">
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Canvas</title>
<script src="script.js" defer></script>
<link href="style.css" rel="stylesheet">
</head>
<body>
... | {
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"openwebmath_score": null,
"tags": "javascript, game, canvas",
"url": null
} |
quantum-mechanics, hilbert-space, wavefunction, notation, quantum-states
To further my confusion, I can imagine a wavefunction defined on a finite interval. We can expand this function in terms of a power series of polynomials. In this case, we would almost certainly associate $\ket{x}$ with $\ket{x_n}=x^n$ as the fun... | {
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"tags": "quantum-mechanics, hilbert-space, wavefunction, notation, quantum-states",
"url"... |
knowrob
at processing.core.PApplet.handleDraw(Unknown Source)
at processing.core.PApplet.run(Unknown Source)
at java.lang.Thread.run(Thread.java:744)
Caused by: jpl.PrologException: PrologException: error(existence_error(procedure, /(rdf_has, 3)), context(:(system, /('<meta-call>', 1)), _27))
at jpl.Query.... | {
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"openwebmath_score": null,
"tags": "knowrob",
"url": null
} |
satisfiability, boolean-algebra, 3-sat, constraint-satisfaction, bipartite-graph
$w\in A_{\ell-1}$. By definition, $t$ and $u$ are not in $A_\ell$.
$w\not\in A_{\ell-1}$. By definition, $t\in A_\ell$ and $u\not\in A_\ell$.
QED.
Exercises
Let X be a linear monotone acyclic instance of X3SAT with $n$ variables and $m$ ... | {
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"tags": "satisfiability, boolean-algebra, 3-sat, constraint-satisfaction, bipartite-graph",
"u... |
rotation, planetary-atmosphere, magnetic-field, planetary-science, habitable-zone
And some of the shorter orbital periods and thus rotation periods are just a few times as long as Earth's rotation period.
As far as I know the processes which generate planetary magnetic fields are not understood very well.
I have read ... | {
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"tags": "rotation, planetary-atmosphere, magnetic-field, planetary-science, habitable-zone... |
electromagnetism, optics, visible-light, thought-experiment, intensity
[1], etc. to increase the field of view. The parabolic+parabolic combination has the disadvantage that its off-axis aberration, coma, is worse than the other two resulting in a very narrow FOV. Also the common focus is located between the two mirro... | {
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"tags": "electromagnetism, optics, visible-light, thought-experiment, intensity",
"url": ... |
26 Jul 2017, 07:05
18
12
$$\sqrt{63 - 36\sqrt{3}} = x + y \sqrt{3}$$
Square both sides:
$$( \sqrt{63 - 36\sqrt{3}} )^2 = (x + y \sqrt{3} )^2 \\ 63 - 36 \sqrt{3} = x^2 + 3y^2 + 2xy \sqrt{3}$$
On the right, the integer part is the x^2 + 3y^2, so that equals 63, and the 2xy√3 is equal to -36√3, so 2xy = -36, and xy = -... | {
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"openwebmath_score": 0.904787540435791,
"tags": n... |
javascript, object-oriented
.modal .modal__add {
padding: 0.7rem;
border: none;
background-color: #383838;
color: white;
cursor: pointer;
}
.modal .modal__cancel {
padding: 0.7rem;
border: 1.5px solid lightgray;
border-radius: 5px;
background-color: #fff;
cursor: pointer;
}
.modal h2 {
margin-b... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "javascript, object-oriented",
"url": null
} |
swift, ios, parse-platform
var messageSender = PFUser() //16:42
messageSender.username = usernameTextField.text
messageSender.password = passwordTextField.text
messageSender.signUpInBackgroundWithBlock({
(success: Bool, error: NSError?) -> Void... | {
"domain": "codereview.stackexchange",
"id": 15400,
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"tags": "swift, ios, parse-platform",
"url": null
} |
c++, calculator, physics
return V2;
} else if (variableStr == "n1") {
cout << "What is the value of V1?" << endl;
cin >> V1;
cout << "What is the value of V2?" << endl;
cin >> V2;
cout << "What is the value of n2?" << endl;
cin >> n2;
n1 = V1/(V2/n2);
... | {
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"openwebmath_score": null,
"tags": "c++, calculator, physics",
"url": null
} |
newtonian-mechanics, mass, definition, weight
Title: What is the difference between weight and mass? What is the difference between the weight of an object and the mass of an object? Weight is the force with which gravity pulls on a mass.
Maybe the simplest way to explain the difference is that on the Moon or on Mars... | {
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"tags": "newtonian-mechanics, mass, definition, weight",
"url": null
} |
javascript, ajax
// Simplification of this check while essentially doing the same thing
if (window.XMLHttpRequest) {
xhr = new XMLHttpRequest();
} else {
for (var i = 0; i < ids.length; i++) {
try {
xhr = new ActiveXObject(ids[i]);
break;
} catch(e) {}
}
... | {
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"id": 5166,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "javascript, ajax",
"url": null
} |
java, datetime, programming-challenge
return String.format("%02d:%02d %s", hour, minute, ampm);
}
public static String parallelUniverseTime(String time) {
return format(MINUTES_PER_DAY - parse(time));
} | {
"domain": "codereview.stackexchange",
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, datetime, programming-challenge",
"url": null
} |
black-holes, time, big-bang, event-horizon, singularities
You need to distinguish between (1) being inside a black hole's event horizon and (2) hitting the black hole's singularity.
Taking the two quotes together, it's clear that Hawking is talking about singularities. When you hit the singularity of a black hole, tim... | {
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"tags": "black-holes, time, big-bang, event-horizon, singularities",
"url": null
} |
ros, message
print std_msgs.msg.Header._md5sum
Originally posted by Martin Günther with karma: 11816 on 2014-05-08
This answer was ACCEPTED on the original site
Post score: 3 | {
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"tags": "ros, message",
"url": null
} |
slam, navigation, kinect, pointcloud-to-laserscan, world
Title: Problem getting real-time_map using hector_slam!
'Hello all,
I am using Xbox360, Ros Kinetic, Ubuntu 16.04LTS
I am new to ROS. I want to map an unknown enviroment using kinect. For this I am using freenect and gmapping.
I have done these steps:
roslaunc... | {
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"tags": "slam, navigation, kinect, pointcloud-to-laserscan, world",
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} |
ros, turtlebot
pinging /capability_server_nodelet_manager with a timeout of 3.0s
xmlrpc reply from http://192.168.xx.x16:58260/ time=7.064819ms
pinging /mobile_base with a timeout of 3.0s
xmlrpc reply from http://192.168.xx.x16:47401/ time=25.177002ms
pinging /rosout with a timeout of 3.0s
xmlrpc reply from http://1... | {
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"tags": "ros, turtlebot",
"url": null
} |
ros, ros-control, ros-kinetic, hardware-interface, ros-canopen
At this point i am stuck.
I really tried to give all the information i have regarding the testing of this package.
I would like to ask some help from the forum members. Especially, the help of @Mathias Lüdtke would be appreciated, (if im not mistaken) the ... | {
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"tags": "ros, ros-control, ros-kinetic, hardware-interface, ros-canopen",
"url": null
} |
quantum-mechanics, double-slit-experiment, interference, quantum-eraser
Title: Delayed choice quantum eraser experiment involving light and polarization filters I read a post about trying Young's double slit experiment at home, and the first comment suggested a DIY delayed choice quantum eraser experiment. In the vide... | {
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"tags": "quantum-mechanics, double-slit-experiment, interference, quantum-eraser",
"url":... |
computational-physics, wigner-transform
EDIT:
Actually the method that I am asking is already implemented in here; however, it is not clear to me why it is done the way it is. This is a bit more general since it's for density matrices, and perhaps it is not the fastest way for pure states, but here goes:
Suppose you h... | {
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"tags": "computational-physics, wigner-transform",
"url": null
} |
(KE is a velocity term) • Do need to solve for inertial velocities Let's start with the answer, and then explain how we get there. • Describe all the vectors acting on a projectile during it's flight. Download Python (the official site) The Word Scrambler Program (pdf) The Word Scrambler Program (txt) Code Python Onlin... | {
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functional-programming, postscript
% recursively replaces elements in <array> found in <dict>
% <array> <dict> replaceall -
/replaceall {
1 index length 1 sub 0 1 3 -1 roll { % for 0 1 length-1
3 copy 3 -1 roll exch % a d i d a i
get % a d i d e
2 copy kn... | {
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"tags": "functional-programming, postscript",
"url": null
} |
forces, interactions, theory-of-everything, unified-theories
Title: A model that unifies the strong, EM, weak and gravity forces? Does there exist such a model that explains the force clusters (their origin, relations between them): the strong, EM, weak and gravity forces? The electromagnetic and weak forces have bee... | {
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} |
for the moment of inertia of circle, reveal that the latter is analogous to the fourth power of circle radius or diameter. Using the structural engineering calculator located at the top of the page (simply click on the the "show/hide calculator" button) the following properties can be calculated: Calculate the Area of ... | {
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"openwebmath_score": 0.642078340053558... |
The fact that all the higher homotopy groups of $$S^2$$ are nontrivial was shown in a paper by S. O. Ivanov, R. Mikhailov, and Jie Wu in Homology Homotopy Appl. 18 (2016), no. 2, 337--344. The corresponding result holds also for $$S^3$$ since $$\pi_n(S^3)=\pi_n(S^2)$$ for $$n\geq 3$$, and the result is known for $$S^4$... | {
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"openwebmath_score": 0.9445157647132874,
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python, beginner, python-3.x, csv
Title: Searching for data from file1 in file2 In order to answer a given question on Ask Ubuntu I came up with two scripts for doing the following task:
Compare two files for an occurrence of column no. 6 value in file1 occurs in file2. On finding data output the line and if not do so... | {
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• Thank you, although I think you are missing an $r^2$ in first equation from the metric. I will try the other two cases myself, with the principles you introduced. – Free_Apples Jul 13 '15 at 23:40
• @Free_Apples: Sorry, thanks for catching that. Let me know if you run into trouble with the other two axes; I haven't t... | {
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"tags":... |
electromagnetism, forces, electricity, energy-conservation, potential-energy
I attempted to solve this using conservation of energy. Initially, we have both kinetic and potential energy. Kinetic energy is given to us and we can find electric potential energy. I'm assuming the total final energy (kinetic + potential) i... | {
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"... |
b.) for any $$\epsilon \gt 0$$, there exists $$\delta \gt 0$$ such that for all $$x \in (0,1)$$ and $$|x-x_0| \leq \delta$$, one has $$|f(x) - f(x_0)|\leq \epsilon$$.
this definition is equivalent.
c.) for any $$\epsilon \gt 0$$, for any $$\delta \gt 0$$ such that for all $$x \in (0,1)$$ and $$|x-x_0| \lt \delta$$, o... | {
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"openwebmath_score": 0.9706191420555115,
"tag... |
ros, kinect, turtlebot, gmapping-demo, icreate
[ WARN] [1341768084.074333263]: Could not get robot pose, cancelling reconfiguration
[ERROR] [1341768084.774230352]: Extrapolation Error looking up robot pose: Unable to lookup transform, cache is empty, when looking up transform from frame [/base_link] to frame [/map]
[... | {
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php
I'd recommend one of the following:
Spend a long while learning how to write real object oriented code.
Give up and convert to procedural code. Skipping all of the wasted classes and new's
Some people may disagree that I would suggest moving away from object oriented code, but your code is so far away from objec... | {
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if $p,q\in R$ have leading terms $x^n$ and $x^m$, respectively (the coefficients must be one to be relevant as leading terms), then $pq\in R$ has leading term $x^{n+m}$, and hence $pq\ne 0$. Finally, $R$ has characteristic $2$ because twice any coefficient is zero in $\mathbb{Z}/2\mathbb{Z}$. ### Herstein 3.2.8: Let $R... | {
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"openwebmath_score": 0.9347715377807617,
"tags": ... |
ros
Comment by Huy Cong on 2015-03-11:
I tried catkin_package(.. CFG_EXTRAS {my_cmake}.cmake.develspace.in) but {my_cmake} file was not build into devel/{my_package}/cmake/{my_package} directory, what has gone wrong? should I replace the name of the cmake file?
Comment by gvdhoorn on 2015-03-11:
Adding a sin... | {
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Let $$\theta (x) = \sum\limits_{p \le x} {\log p}$$ be the Chebyshev function of the first kind. The product of the primes between $$N$$ and $$2N$$ (with $$N\geq 2$$) is $$\prod\limits_{N < p < 2N} p = \prod\limits_{N < p \le 2N} p = \exp (\theta (2N) - \theta (N)).$$ By Corollary $$11.2$$ in this paper, we have $$\lef... | {
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"openwebmath_score": 0.9228746891021729,
"ta... |
bioinformatics
no bias towards a reference genome
no template to adapt to
the assembly is normally more fragmented
it normally works better for large-scale/median scale differences (source)
reference mapping
less contigs
in most methods the reads that don't map are not used in the final sequence (this is also ... | {
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"openwebmath_score": null,
"tags": "bioinformatics",
"url": null
} |
newtonian-mechanics, angular-momentum, rotational-dynamics
Title: Kinetic energy, angular momentum of a rotating body We have a disk rotating about an arbitrary axis, and we can supposedly quantify the kinetic energy of such a disk by $K = \frac 12Iw^2$.
Now, it is also true that, as the disk is rotating, each elemen... | {
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"tags": "newtonian-mechanics, angular-momentum, rotational-dynamics",
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physical-chemistry, thermodynamics, equilibrium
The answer comes out to be $0.34\:\mathrm{mol}$.
I have understood the whole question and I am getting the answer. I just have a confusion why we are taking $K_\mathrm c$ as $833$ and not $1/833$ which makes it $\mathrm{mol/L}$. I think $K_\mathrm c$ should be in $\math... | {
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"tags": "physical-chemistry, thermodynamics, equilibrium",
"url": null
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Free Textbooks from Springer
06-28-2020, 02:42 PM (This post was last modified: 06-28-2020 02:43 PM by Maximilian Hohmann.)
Post: #1
Maximilian Hohmann Senior Member Posts: 961 Joined: Dec 2013
Free Textbooks from Springer
Hello!
For those who have not read it elsewhere: Springer/Nature has recently granted free acce... | {
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"openwebmath_score": 0.4495895504951477,
"tags... |
discrete-signals, sampling, nyquist, aliasing
Title: Determine maximum frequency of input signal to make system LTI This is question 4.26 from the third edition of Alan Oppenheim's textbook "Discrete-time Signal Processing". It is stated as follows:
Firstly, the answer is the input signal should be bandlimited to 12 ... | {
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"tags": "discrete-signals, sampling, nyquist, aliasing",
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} |
operators, commutator, wick-theorem, textbook-erratum
Title: Baker-Hausdorff for normal ordering exponential Let $A=A^+ +A^-$ where $A^+,A^-$ denote the creation and annihilation portion of the field. Then in Eduardo Fradkin, Field Theories of Condensed Matter Physics, equation (5.284), it states that
$$
:e^A::e^B: ~=... | {
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"tags": "operators, commutator, wick-theorem, textbook-erratum",
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c, linked-list, memory-management
Title: Edge cases for simulated malloc function I'm trying to simulate the malloc function in C by using mmap and having 2 linked lists to act as memory blocks. The program works by reserving a region of memory and then keeps track of the free and allocated memory address with size in... | {
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"tags": "c, linked-list, memory-management",
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photons
You're being prudent by taking everything your teacher says with a large grain of salt. In my experience in physics (heck in life as a whole), it's good to take everything that anyone ever says with a grain of salt (including my response for that matter).
Cheers! | {
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c#, algorithm, array, jagged-array
Algorithm
I hope you have noticed the following part (highlighted with bold) in my informal definition:
A descending line which starts either from the left or from the top side of the matrix until there is a number in the way of it
That means you have to have two top level iteratio... | {
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# Prime Factorization
## Definition
The Fundamental Theorem of Arithmetic states that every positive integer can factored into primes uniquely, and in only one way (ignoring the order of multiplication). That is to say, for any positive whole number, $n$, there exists only one possible prime factorization.
For examp... | {
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javascript, underscore.js
Title: Functional implementation of collecting objects into groups Trying to write more functional Javascript with the underscore library. Any thoughts on how to improve this to be more functional than imperative? Also, any way to do this without mapObject?
The first of each pair is a "bucket... | {
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beginner, programming-challenge, haskell, edit-distance, monads
The third is by far the easiest to do, but it also means your function becomes harder to reason about in some ways. If I ever use a partial function like this getDistance :: String -> String -> Int, the computer doesn't know whether my use of it is well-b... | {
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cc.complexity-theory, turing-machines
For space complexity, we use a model where we have a separate read only input tape, which is more natural and robust.
A TM model with multiple tapes (or at least 2 working tapes) would be much more robust and will not lead to anomalies like those I listed above. I once asked a pro... | {
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units
Answer to (1) is yes: OP must read and understand two already given answers elsewhere.
Answer to (2) is no: As M. Farooq correctly pointed out (vide supra), $\pu{mM}$ is a concentration unit (of a solution) and $\pu{mg}$ is an amount unit of a substance (e.g., it could be about substance in the solution such as ... | {
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However, most results come out more cleanly by working with the definition above, which disqualifies the empty set. </p> <p>Compare the notion of prime ideal: working in the lattice of ideals of a p.i.d. $R$ where $\leq$ is given by reverse inclusion, the coproduct or join of ideals $a, b$ is $ab$, the initial ideal is... | {
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c#, reflection, extension-methods
/// <summary>
/// Searches for the public property with the specified name and return type.
/// </summary>
/// <param name="type">The type whose properties to get.</param>
/// <param name="name">The string containing the name of the property to get.</param>
/// <pa... | {
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"url": null
} |
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