text stringlengths 1 1.11k | source dict |
|---|---|
quantum-mechanics, thermodynamics, harmonic-oscillator, degrees-of-freedom
Title: Energy of the harmonic oscillator We know the Hamiltonian of harmonic oscillator is $H={p^2\over{2m}} +{1\over 2} kx^2$. We then fix the value of the energy to the eigenvalues $E=(n+1/2) {h\omega\over{2π}}$ . But sometimes in the viria... | {
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"tags": "quantum-mechanics, thermodynamics, harmonic-oscillator, degrees-of-freedom",
"ur... |
electromagnetism, electric-fields, potential, classical-electrodynamics
Or is it rather this equation (equation (17.3) in this document), probably they are one and the same:
$$\Phi (\mathbf{x})=-\frac{1}{4\pi}\int_S \Phi(\mathbf{x}')(\hat n.\nabla')G_D(\mathbf{x},\mathbf{x}')dS'$$ If I understand the situation correct... | {
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"tags": "electromagnetism, electric-fields, potential, classical-electrodynamics",
"url": ... |
c++, c++17
Consider rewriting your for_each_n() in terms of a generic static_for().
Anyway, for_each_n() should either more closely follow the standard-library, by making n a runtime-argument (then best implement in terms of all_of()), or get a different name, like for_first_n().
mismatch() and find() have completely ... | {
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"tags": "c++, c++17",
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concurrency, process-scheduling
So I think I understand weakly fair, a conditional atomic action will execute when its condition is true, and the condition will remain true until the atomic action has ended.
But I don't see how strongly fair is different from this. for a conditional atomic action, once its condition i... | {
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clubs ♣. (a) What is the probability of getting a king then a king again? P(king on the first and king on the second) = (b) What is the probability of getting a king then a jack?. I don't want to ruin it for you so you can do the 3rd, 4th and 5th cards. Playing cards probability problems based on a well-shuffled deck o... | {
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python, beginner, algorithm, python-3.x, calculator
Question 7.
Undo Implement a function that simulates the Undo button: the function restores the previous value that appeared on the screen before the current one. | {
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So, what did you do wrong? Well, your inequality
$$\left|z-\frac{-1}{z} \right| \geq |z|-\left| \frac{-1}{z} \right|$$
is, indeed, true, but for some z it might be a strict inequality, so there is no guarantee that minimizing the right-hand-side will give an achievable minimum to the left-hand-side. I'll leave it up to... | {
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... |
newtonian-mechanics, forces
Title: Accelarated Frames of Reference
If the person in the train somehow feels that he is in an inclined plane , that would do . However I don't think he can differentiate by seeing the plumb line only.
I currently don't find any way. Please suggest some methods? It is a fundamental princ... | {
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"tags": "newtonian-mechanics, forces",
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solutions, metal, purification, alloy
Title: How to check purity of mercury metal Mercury is a very good solvent for many metals. We have mercury metal available, how do we check for its purity? Is there some kind of test available to verify its purity? And, more helpfully, which kind of metals are dissolved in it? In... | {
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"tags": "solutions, metal, purification, alloy",
"url": null
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python, object-oriented, python-3.x, numpy, machine-learning
Private methods
Do you really want do_gradient_step(self) to be considered public? Yes, there are no "true" private methods, but the convention is to put one underscore before the name to indicate it is private. Honestly, I would just call it _step(self).
In... | {
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"tags": "python, object-oriented, python-3.x, numpy, machine-learning",
"url": null
} |
javascript, array, angular.js
// tagObj is the single tag that is sent from the markup to check:
// Below is what I'm trying to find in the larger array:
console.log(tagObj.tag_id);
// Checking if the large Array has anything
if (tagObjects.length > 0) {
// I go through and separate the smaller tag Arrays out:
... | {
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"tags": "javascript, array, angular.js",
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# Trapezium Rule | {
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"openwebmath_score": 0.8034452795982361,
"tags": nul... |
javascript, jquery, google-maps
//put all lat long in array
allLatlng.push(myLatlng);
//Put the marketrs in an array
tempMarkerHolder.push(allMarkers);
counter++;
//console.log(... | {
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and everyone can find solutions to their math problems instantly. 5 Chapters 1-4 Spiral Review for Chapter 5 is due on the day of the test. A father gave$500 to his two sons. Test Prep Tutors;. For those that are linearly dependent , express one of the polynomials as a linear combination of the others. However, it is o... | {
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"lm_q1_score": 0.9822876992225169,
"lm_q1q2_score": 0.8076262607866592,
"lm_q2_score": 0.822189121808099,
"openwebmath_perplexity": 1135.8759574371509,
"openwebmath_score": 0.3489063084125519,
... |
reference-request, ho.history-overview, recursion
Title: History of recursion Who introduced the idea of recursion?
Can someone explain where it came from and how it impacted computer science? Computability and Recursion, by Soare.
http://www.people.cs.uchicago.edu/~soare/History/compute.pdf
This paper is the first of... | {
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The first two conclusions of this theorem are nearly trivial. But they set up a pattern of results for $C$ that is reflected in the latter two conclusions about $L$. In total, they tell us that we can compute all four subsets just by finding null spaces and row spaces. This theorem does not tell us exactly how to compu... | {
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"lm_q1_score": 0.9835969655605173,
"lm_q1q2_score": 0.8259597883980555,
"lm_q2_score": 0.8397339736884711,
"openwebmath_perplexity": 190.30755514166773,
"openwebmath_score": 0.8899307250976562,
"tags": null,... |
ros, exploration, turtlebot, nav2d
Title: nav2d and Turtlebot
Hi everyone,
I'm looking to use nav2d package(wiki.ros.org/nav2d) with my turtlebot. But i have no idea how to mapping (or config) nav2d with turtlebot. So has anyone experienced this problem?
Thanks
Originally posted by hades on ROS Answers with karma: 1... | {
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"tags": "ros, exploration, turtlebot, nav2d",
"url": null
} |
electrostatics, electric-fields, differentiation, gauss-law, vector-fields
Title: Why is the divergence of the field zero in Maxwell's equations? I read in a book called Vector Analysis by Murray R. Spiegel by Schaums Series, and I found that there is somewhere printed that the divergence of the electric field is zero... | {
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"tags": "electrostatics, electric-fields, differentiation, gauss-law, vector-fields",
"ur... |
genomes, data
The quick brown fox jumps over the lazy dog
you don't need to know what character # in the book the sentence started at to interpret it. If you have another edition of the same book and you read:
The lazy brown fox jumps over the quick dog | {
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ros, optitrack
Comment by mario1577 on 2017-04-26:
What is the problem I have ?,Do I have to do a network configuration in my pc ubuntu ? (I am noob in ubuntu).
I have the two PCs connected with an ethernet cable
Comment by UbuntuROs on 2017-06-27:
I have run
$ roslaunch vrpn_client_ros sample.launch server:=
and it ... | {
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"tags": "ros, optitrack",
"url": null
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capacitance
Title: Equivalent capacitance in series Let two capacitors be connected in series across a potential difference and each stores a charge Q. Then, while deriving equivalent capacitance, why are we considering that the equivalent capacitor will store a charge Q and not 2Q (which is the total charge)? In a se... | {
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"tags": "capacitance",
"url": null
} |
homework-and-exercises, electrostatics, coulombs-law
You already have an equation of acceleration and displacement as you've mentioned(you got it from applying Coulomb's Law), hence you have an equation in the form:
$$a=\frac{k}{x^2}$$
Where $a$ is acceleration and $x$ is displacement and $k$ are the constants involve... | {
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"tags": "homework-and-exercises, electrostatics, coulombs-law",
"url": null
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python
Method #3:
I was not quite sure why you are using the first element found outside of the range of theta to define the grouping center, so I tried a small experiment. This sorts the data, and then builds clusters that are built around 90% of theta above the minimum value in each cluster. So the results will no... | {
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"tags": "python",
"url": null
} |
string-theory, supersymmetry, grassmann-numbers, superspace-formalism
Title: Basic question about superspace, Grassmann numbers and world sheet supersymmetry So, I'm trying to read the section on superspace from the book on string theory by Becker, Becker and Schwarz, and I realized that I've been stuck on something s... | {
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"tags": "string-theory, supersymmetry, grassmann-numbers, superspace-formalism",
"url": n... |
python, beginner, tree
print("Pre order traversal: ", end="")
for val in elements:
print(val, end=" ")
print("")
elements = binarytree.inOrderTraverse()
print("In order traversal: ", end="")
for val in elements:
print(val, end=" ")
print("")
elements = binarytree.postOr... | {
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"tags": "python, beginner, tree",
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} |
homework-and-exercises, rotational-dynamics, reference-frames
Motion of the center of mass $$ \boldsymbol{v}_C =\frac{1}{m} \boldsymbol{p} $$ where $\boldsymbol{p}$ is the aquired linear momentum after the impact
Motion about the center of mass $$ \boldsymbol{\omega} = \mathrm{I}^{-1} \boldsymbol{L}_C$$ where $\boldsy... | {
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"tags": "homework-and-exercises, rotational-dynamics, reference-frames",
"url": null
} |
### Show Tags
10 Aug 2018, 11:08
1
00:00
Difficulty:
65% (hard)
Question Stats:
57% (02:17) correct 43% (01:57) wrong based on 63 sessions
### HideShow timer Statistics
If the curve described by the equation $$y = x^2 + bx + c$$ cuts the $$x$$-axis at $$-4$$ and $$y$$ axis at $$4$$, at which other point does it ... | {
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"lm_q2_score": 0.8824278618165526,
"openwebmath_perplexity": 1167.0147749962114,
"openwebmath_score": 0.7320489883422852,
"tags": ... |
mobile-robot, design, movement, wheel, first-robotics
Trying to take into account slipage gets hairy. From the paper "Kinematic Analysis of Four-Wheel Mecanum Vehicle" which is at the top of this list of papers:
This problem, in general, has no solution, since it represents an
overdetermined system of simultaneous... | {
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that show … Identifying functions & the. Numbers that go together at the ordered pairs the graphs represent ( s ) function... The concepts behind mapping a relation and the other way is to use the vertical line test a... Graph passes the vertical line is infinity or undefined as it has no y-intercept and the other way ... | {
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"lm_q1q2_score": 0.8464399793526768,
"lm_q2_score": 0.8740772286044095,
"openwebmath_perplexity": 306.50560383109644,
"openwebmath_score": 0.6036205887794495,
"tags": n... |
performance, linked-list, swift, complexity, collections
Structure
You have nicely structured the code by using separate extensions for the various protocol conformances.
In that spirit, var first should be defined with the Collection properties, and var last should be defined with the BidirectionalCollection properti... | {
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"tags": "performance, linked-list, swift, complexity, collections",
"url": null
} |
rosinstall
Thanks
prince
Originally posted by prince on ROS Answers with karma: 660 on 2012-02-01
Post score: 1
It looks like easy_install obey's a environment variable to setup proxys. blog post
You can also use pip the replacement for easy_install which has a --proxy argument man page
Originally posted by tfoote ... | {
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# A question on probability of choosing coins
Six identical-looking coins are in a box, of which five are unbiased, while the sixth comes up heads with probability $3 \over 4$ and tails with probability $1 \over 4$. Three coins are chosen from the box at random and removed. One of those three is chosen at random and t... | {
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"lm_q2_score": 0.84997116805678,
"openwebmath_perplexity": 151.2502451351604,
"openwebmath_score": 0.9127453565597534,
"t... |
python
kml = simplekml.Kml()
for point in points:
kml.newpoint(name=point.name, description=point.description,
coords=[(point.lon, point.lat)])
kml.save("test2.kml")
Note that I followed Python's official style-guide, PEP8, when naming my variables. Variables and functions should be lower_case a... | {
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and ordinates of different standard. Under such situations, the most commonly used methods for estimating the dispersion parameter, the method of moment and the maximum likelihood estimate, may become inaccurate and unstable. It should be rigidly defined and free from any ambiguity. Know what is dispersion, types and f... | {
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"lm_q2_score": 0.8558511488056151,
"openwebmath_perplexity": 721.0817150749654,
"openwebmath_score": 0.5135897994041443,
"tag... |
power-spectral-density, autocorrelation, random-process
Title: Hard time figuring out whether the following random process is wide sense stationary I'm dealing with a random process that's simply a square wave with pulse period T, where:
Each pulse takes either $A$ or $-A$ depending on a coin toss.
The wave is shift... | {
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} |
-
It is not true that non-nilpotent numbers characterize orders of groups with trivial center. For example, every group of order $28$ has nontrivial center but there exists a non-nilpotent group of order $28$. Another example is $40$. – Mikko Korhonen Nov 13 '12 at 17:02
You can consider the index of $Z(G)$ in $G$, wh... | {
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"openwebmath_score": 0.9042034149169922,
"tag... |
Inertia Of Circle Derivation. In such cases, an axis passing through the centroid of the shape is probably implied. Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its C. Polar Moment Of Inertia Circular Beam October 31, 2018 - by Arfan - Leave a Comment 6 torsion of s... | {
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"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9828232935032462,
"lm_q1q2_score": 0.8334024631854222,
"lm_q2_score": 0.8479677564567913,
"openwebmath_perplexity": 611.8841540734246,
"openwebmath_score": 0.642078340053558... |
java, javascript, mysql, servlets
function renderResults(jsonText, textElement) {
const responseObject = JSON.parse(jsonText);
if (responseObject["succeeded"]) {
const numberOfViews = responseObject["numberOfViews"];
if (numberOfViews) {
textElement.innerHTML = "Total ... | {
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"openwebmath_score": null,
"tags": "java, javascript, mysql, servlets",
"url": null
} |
python, python-3.x, aws-cdk
if storage_capacity:
storage_capacity = storage_capacity[0]
else:
storage_capacity = None
if storage_used:
storage_used = storage_used[0]
else:
storage_used = None
if storage_capacity and storage_used:
percent_used = (storage_used / storage_capa... | {
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"openwebmath_score": null,
"tags": "python, python-3.x, aws-cdk",
"url": null
} |
thermodynamics, fluid-dynamics, cosmology, relativity, exotic-matter
But this is in the context of cosmology, so its for a universe that on very large scales has energy that has an extent in just one direction (for the other directions it is quite small in comparison). And it is not made up of regular matter in that c... | {
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"openwebmath_score": null,
"tags": "thermodynamics, fluid-dynamics, cosmology, relativity, exotic-matter",
"url": nu... |
thermodynamics, energy, statistical-mechanics
The random motions of the atoms of a body furnish a measure of heat energy, if the squares of the velocities are summed. This sum will be a positive result, having no directional character. The heat is there, whether or not the body moves as a whole, and conservation of en... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "thermodynamics, energy, statistical-mechanics",
"url": null
} |
homework-and-exercises, kinematics
Title: Impulse on a baseball with no given mass
A pitcher throws a ball to a catcher during the warm-up between innings. The pitcher takes $1.5 \; \text{s}$ to accelerate the ball to $35 \; \text{m/s}$ during the wind-up and release of the ball. The catcher stops the ball's motion i... | {
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"tags": "homework-and-exercises, kinematics",
"url": null
} |
randomness
How do I build such a non-uniform distribution from these building blocks? How do I reliably and efficiently transform nextGaussian() into nextGaussian(a, b, i)? The part I am struggling with is to enforce that x is selected between a and b (without doing a trial-and-error). I would generate a beta distribu... | {
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "randomness",
"url": null
} |
complexity-theory, turing-machines, computability
Then, you can build a Turing machine to do what you want by using $U$: namely, on input $\langle M \rangle$, your Turing machine should run $U(\langle M \rangle, \langle M \rangle)$. Or, to put it another way, your Turing machine should make a second copy of the input... | {
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"openwebmath_score": null,
"tags": "complexity-theory, turing-machines, computability",
"url": null
} |
rna-seq, software-recommendation, rna-splicing
My questions are:
am I doing something wrong?
do you have any experience with Regtools and can help debugging this behavior?
do you have other suggestion to achieve the output I am seeking? You can use the script that comes with minimap2:
# install the k8 javascript she... | {
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"tags": "rna-seq, software-recommendation, rna-splicing",
"url": null
} |
python, excel, pandas
# Category Pizzeria 2021-11-01 00:00:00 2021-11-08 00:00:00 2021-11-15 00:00:00 2021-11-22 00:00:00 2021-11-29 00:00:00
# 0 Sales NaN NaN NaN NaN NaN NaN
# 1 NaN 1.0 ... | {
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"tags": "python, excel, pandas",
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} |
c++, linked-list
I would make it just use a default-constructed instance if one isn't passed
You should be passing a const reference as to avoid an unnecessary copy (val(value) is already copying it)
isPresentN is badly named
Any time a method starts with is I expect a bool return. I would consider renaming this to ... | {
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} |
c++, object-oriented, linked-list, overloading
It would also probably be a good idea to see if the list you're trying to add in operator+= is actually empty, in which case you shouldn't do anything.
Lastly, you should mark all functions that do not throw any exceptions as noexcept, similarly to how you mark some func... | {
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"tags": "c++, object-oriented, linked-list, overloading",
"url": null
} |
electromagnetism, magnetic-fields, electric-circuits, electricity, magnetic-moment
The magnetized material in the bar magnet is made up of atoms each of which is a little atomic-sized current loop. When it is magnetized all these loops line up so the normals are parallel. The effect is that internally every atomic cur... | {
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Here it’s even harder to come up with a proof that uses a chain of double implications. | {
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"lm_q2_score": 0.8376199694135333,
"openwebmath_perplexity": 82.94821375496855,
"openwebmath_score": 0.9530162811279297,
"tags... |
python, performance, pandas, scipy
I also include the "raw code" for the three snippets:
import random
import pandas as pd
if __name__ == "__main__":
# ignore the fact that this actually isn't random for individual values
x = [{'id':random.randint(0,5),'y':random.randint(0,5), 'value':random.randint(0,500)}]*... | {
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"tags": "python, performance, pandas, scipy",
"url": null
} |
1. Is the units digit of m a 3 or a 7?
If so, you'll have quite a few numbers to try out, but we can still limit the possibilities.
If m ends in 03, 23, 43, 63, or 83, then the units digit of A2 must be a 4 and the units digit of B2 must be a 1.
If m ends in 07, 27, 47, 67, or 87, then the units digit of A2 must be ... | {
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"lm_q2_score": 0.8459424295406088,
"openwebmath_perplexity": 260.5235645210462,
"openwebmath_score": 0.6369768977165222,
"tag... |
Observe that $a_{n,1} = 1$ and $b_{n,1} = c_{n,1} = 0.$ Furthermore the last recurrence implies that $$c_{n,k} = w \sum_{q=1}^{k-1} b_{n,q} = w \sum_{q=1}^{k-2} a_{n,q}.$$
Taken together this yields a recurrence for $a_{n,k}:$ $$a_{n,k} = (n-1) a_{n,k-1} + (n-1) v a_{n,k-2} + (n-1) w \sum_{q=1}^{k-3} a_{n,q}.$$
Intro... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9706877726405082,
"lm_q1q2_score": 0.8517559961599133,
"lm_q2_score": 0.8774767954920547,
"openwebmath_perplexity": 264.7836395677748,
"openwebmath_score": 0.7548503875732422,
"tag... |
c#, linq, api, reflection, expression-trees
public void Dispose()
{
foreach (var view in _views.Values)
{
view.Dispose();
}
_db.Dispose();
_session.Dispose();
}
}
And the rest of the magic happens in the ViewSet<TEntity> class, which replaces my old Reposit... | {
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"openwebmath_score": null,
"tags": "c#, linq, api, reflection, expression-trees",
"url": null
} |
python, performance, beginner, pandas
is_during = (
~is_fix
& ((df.Start >= df.StartFix) | df.StartFix.isna())
& (df.Finish <= df.FinishFix)
)
left_during = df[is_during]
during = (
pd.merge(
left=left_during, right=fixes,
suffixes=('', '_Fix'),
left_on=('Part', 'StartFix', 'Fin... | {
"domain": "codereview.stackexchange",
"id": 43546,
"lm_label": null,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, performance, beginner, pandas",
"url": null
} |
keras, rnn, loss-function
Title: Loss being outputed as nan in keras RNN Since the first Epoch of the RNN, the loss value is being outputted as nan.
Epoch 1/100
9787/9787 [==============================] - 22s 2ms/step - loss: nan
I have normalized the data.
...,
[9.78344703e-01],
[1.00000000e+00],
... | {
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"id": 6824,
"lm_label": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "keras, rnn, loss-function",
"url": null
} |
ros, ros-melodic, 3dcamera
/sxs_stereo/disparity
/sxs_stereo/left/camera_info
/sxs_stereo/left/image_color
/sxs_stereo/left/image_color/compressed
/sxs_stereo/left/image_color/compressed/parameter_descriptions
/sxs_stereo/left/image_color/compressed/parameter_updates
/sxs_stereo/left/image_color/compressedDepth
/sxs_s... | {
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"id": 33329,
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"openwebmath_score": null,
"tags": "ros, ros-melodic, 3dcamera",
"url": null
} |
Your calculation of $$|0\rangle \otimes |+\rangle$$ is right. For now, forget about calculation and use simple logic. In your setting first qubit is always in state $$|0\rangle$$ and the second one is in equally distributed superposition of $$|0\rangle$$ and $$|1\rangle$$. Hence when you take both qubits together, only... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9787126488274565,
"lm_q1q2_score": 0.8450122775319515,
"lm_q2_score": 0.8633915976709975,
"openwebmath_perplexity": 435.5218033423296,
"openwebmath_score": 0.8339951038360596,
"tag... |
c++, rational-numbers
den *= rh.den;
return *this;
}
RationalFraction& operator/=(const RationalFraction &rh) {
num *= rh.den;
den *= rh.num;
return *this;
}
friend std::ostream &operator<< (std::ostream& out, const RationalFraction& f) {
RationalFraction fr=f;
... | {
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"openwebmath_score": null,
"tags": "c++, rational-numbers",
"url": null
} |
cc.complexity-theory, type-theory, lambda-calculus
Patrick Baillot, Kazushige Terui. Light types for polynomial time computation in lambda calculus. Information and Computation 207(1):41-62, 2009.
Marco Gaboardi, Simona Ronchi Della Rocca. From light logics to type assignments: a case study. Logic Journal of the IGPL ... | {
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"openwebmath_score": null,
"tags": "cc.complexity-theory, type-theory, lambda-calculus",
"url": null
} |
electricity, electric-circuits, everyday-life
Title: Why don't electric workers get electrocuted when only touching one wire? I know that when electricians work on the poles on the streets, if they only touch one wire at a time they will be fine. However, from my understanding, the negative wire is connected to a larg... | {
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"openwebmath_score": null,
"tags": "electricity, electric-circuits, everyday-life",
"url": null
} |
# Thread: Finding tangent to function parallell with line
1. ## Finding tangent to function parallell with line
Hello all! I just found this forum and registered. I would like some help with the following problem:
What is the function of the tangent to the parable $y=x^2$ , parallell with the line $y=6x$ ? I can see... | {
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"lm_q2_score": 0.8175744717487329,
"openwebmath_perplexity": 581.417829188431,
"openwebmath_score": 0.7362744212150574,
"t... |
machine-learning, linear-regression, maximum-likelihood
\theta &= (X^TX)^{-1}2X^TY
\end{align}
Now, you can ignore the $2$, because it is just a constant, and, when optimizing, this does not influence the result.
Note that using $\hat{\theta}$ instead of $\theta$ is just to indicate that what we will get is an "estima... | {
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"tags": "machine-learning, linear-regression, maximum-likelihood",
"url": null
} |
optics, solid-state-physics
I would love an explanation on this. The idea of group velocity only makes sense when you form a wavepacket (a superposition of states with different wavevectors $k$). Typically this will be narrowly distributed around some central wavevector $k_0$ at which point we evaluate the group veloc... | {
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"openwebmath_score": null,
"tags": "optics, solid-state-physics",
"url": null
} |
logic, artificial-intelligence, first-order-logic
First, you use an existential quantifier for the people where there should be a univeral one, since the statement is "all people". What your formula expresses is "There is an $x$ such that if $x$ does't shave themself, the barber does." Instead, what you want to say is... | {
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"openwebmath_score": null,
"tags": "logic, artificial-intelligence, first-order-logic",
"url": null
} |
assembly, covid-19, genome-sequencing, software-usage, virus
MN630242.1 8977 7601 7853 - NODE_200_length_255_cov_25.125000 255 0 252 250 252 12 tp:A:P cm:i:3s1:i:250 s2:i:236 dv:f:0.0017
MN630242.1 8977 6648 6968 - NODE_106_length_324_cov_2.538071 324 4 324 248 320 0 tp:A:P cm... | {
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"id": 1600,
"lm_label": null,
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"openwebmath_score": null,
"tags": "assembly, covid-19, genome-sequencing, software-usage, virus",
"url": null... |
radio, antennas
Thanks! In the microwave band here are multi-element detectors, but at longer wavelengths the telescope is a single pixel.
Yes it does take a while to build up an image, but radio pictures aren't usually very large - not the millions of pixels of an optical/IR image.
One big advantage of radio teles... | {
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"tags": "radio, antennas",
"url": null
} |
roslaunch
Title: roslaunch launching not in one package
Hi,
after long time I followed the tutorials again and tried a lauch file
<group ns="turtlesim1">
<node pkg="turtlesim" name="sim" type="turtlesim_node"/>
</group>
<node pkg="turtlesim" name="mimic" type="mimic">
<remap from=... | {
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"tags": "roslaunch",
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ros-kinetic
<!-- camera -->
<gazebo reference="camera_link">
<sensor type="camera" name="camera1">
<update_rate>30.0</update_rate>
<camera name="head">
<horizontal_fov>1.3962634</horizontal_fov>
<image>
<width>800</width>
<height>800</height>
... | {
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"url": null
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in the next segment we'll look at Bayes theorem. Solution:. Hence the value of probability ranges from 0 to 1. The other thing to remember in probability problems is the difference between "or" and "and". This is the title of your second. Goodman Rutgers, The State University of New Jersey JOHN WILEY & SONS, INC. Examp... | {
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"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9850429103332288,
"lm_q1q2_score": 0.8229871369414111,
"lm_q2_score": 0.8354835391516132,
"openwebmath_perplexity": 577.1692155592605,
"openwebmath_score": 0.7442626357078552,
"tag... |
field-theory, gauss-law, boundary-conditions, boundary-terms
If I adopt my teacher's view, I have an intuition that it may violate the rule that information cannot spread faster than the speed of light. Can the surface condition at faraway influence the phenomena at a local area instantly? Without some particular hypo... | {
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"tags": "field-theory, gauss-law, boundary-conditions, boundary-terms",
"url": null
} |
+e(w-\frac12w^2)}} = 2\int\limits_0^1\dfrac{d\sqrt w}{\sqrt{2+2e-e w}} = \dfrac2{\sqrt e}\int\limits_0^1\dfrac{dz}{\sqrt{2+2e^{-1}-z^2}}$$ $$= \dfrac2{\sqrt e}\arcsin\dfrac1{\sqrt{2+2e^{-1}}}]\approx 0.788<1$$ (Wolfram Alpha numeric calculations give $$I(1,e)\approx 0.776236$$) | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9697854103128329,
"lm_q1q2_score": 0.8281121312953214,
"lm_q2_score": 0.853912754810561,
"openwebmath_perplexity": 536.7927465835663,
"openwebmath_score": 0.7154315114021301,
"tags... |
lagrangian-formalism, metric-tensor, string-theory, variational-principle, branes
Title: Area element with worldsheet metric in Polyakov action I became confused while reading this article for the following reason:
For $p=1$ we have strings such that the Nambu-Goto action is proportional to the area of the worldsheet ... | {
"domain": "physics.stackexchange",
"id": 82453,
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"tags": "lagrangian-formalism, metric-tensor, string-theory, variational-principle, branes"... |
How do I calculate the moment of inertia of a uniform solid cube about an axis passing through its center of mass?. Show that the rotational inertia of the rod about an axis through its center and perpendicular to its length is M. The moment of inertia of the rod about an axis passing through one of its …. BRIEF SUMMAR... | {
"domain": "billardschule-cronenberg.de",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9835969674838371,
"lm_q1q2_score": 0.8131512157307522,
"lm_q2_score": 0.8267117962054049,
"openwebmath_perplexity": 186.42280334111211,
"openwebmath_score": 0.5442878603935... |
javascript, node.js, express.js
],
"fairlyActiveMinutes":34,
"lightlyActiveMinutes":46,
"marginalCalories":211,
"sedentaryMinutes":875,
"steps":2256,
"veryActiveMinutes":0}
}
*/ | {
"domain": "codereview.stackexchange",
"id": 11211,
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"openwebmath_score": null,
"tags": "javascript, node.js, express.js",
"url": null
} |
kalman-filters
Prediction step
The state prediction works as above:
$$\mathbf{x}^{(P)}_{i+1} = A_i \mathbf{x}_{i} + B_i u_i$$
Covariance prediction:
$$P_{i+1}^{(P)} = A P_i A^T + Q \quad \text{with}\quad Q \in \mathbb{R}^{4 \times 4}. \tag{P}$$
Where do I get the process error covariance $Q$ from? Which properties do... | {
"domain": "dsp.stackexchange",
"id": 3964,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "kalman-filters",
"url": null
} |
electrostatics, maxwell-equations, greens-functions
Can someone use Green's function to show me the form of $V$?
Update:
I have made an attempt to solve for $V$ but I can't understand why it takes the form $$V = \frac{\rho}{4\pi\epsilon_o} \int \frac{1}{|r-r'|}dr^3$$
(can someone check my solution)
I can't recall thi... | {
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"id": 15824,
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"tags": "electrostatics, maxwell-equations, greens-functions",
"url": null
} |
green lines are the “diagonals” and the numbers of the Pascal’s triangle they intersect sum to form the numbers of the Fibonacci sequence – 1, 1, 2, 3, 5, 8, …, 1 0 1 1 0 1 0 2 0 1 1 0 3 0 1 0 3 0 4 0 1 1 0 6 0 5 0 1. If there happens to be a way to compute the nth sequence in constant time, that would be fantastic. Th... | {
"domain": "beerlak.hu",
"id": null,
"lm_label": "1. Yes\n2. Yes",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9653811591688145,
"lm_q1q2_score": 0.8421477261723621,
"lm_q2_score": 0.8723473813156294,
"openwebmath_perplexity": 541.3227765729619,
"openwebmath_score": 0.5620970129966736,
"tags": nul... |
• @Ben: as for your third comment, I don't know. The factorial is deceptively easy to define but makes its appearance in mathematics in several fundamental, nontrivial ways (Taylor series, the sizes of the symmetric groups, various probability distributions). The same is probably not true of an arbitrary "natural" func... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9848109538667758,
"lm_q1q2_score": 0.8119391361417501,
"lm_q2_score": 0.8244619263765707,
"openwebmath_perplexity": 332.36472415598445,
"openwebmath_score": 0.8309153914451599,
"ta... |
homework-and-exercises, electrostatics
Title: Deriving expression of electric field at a point above centre of hemisphere I have been trying to derive the expression for electric field due to a solid uniformly charged hemisphere at a point which is a certain distance above the centre. I have identified that the differ... | {
"domain": "physics.stackexchange",
"id": 43237,
"lm_label": null,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "homework-and-exercises, electrostatics",
"url": null
} |
forces, mass, acceleration
No reference to a time interval (you would expect a larger distance to be covered if the force is applied over a longer time interval)
The units don't match up (both between the left and right side as well as with the math on the right side)
The equation is just not how position evolves over... | {
"domain": "physics.stackexchange",
"id": 53052,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "forces, mass, acceleration",
"url": null
} |
image-processing, filters, estimation, statistics, parameter-estimation
Where $ \bar{x} $ is the empirical mean of the data given by:
$$ \bar{x} = \frac{1}{N} \sum_{i = 1}^{N} {x}_{i} $$
Now, if there's a model on the data (Such as signal and noise with certain CDF) the empirical calculation should be altered accordin... | {
"domain": "dsp.stackexchange",
"id": 2752,
"lm_label": null,
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"tags": "image-processing, filters, estimation, statistics, parameter-estimation",
"url": null... |
and angles being equal. 65° c. 115° d. 135° e. 5° f. 175° g. 27° h. 117° i. So let's see what we-- oh, 155 degree angle, not 150 degree angle. Angles can be measured using the inner or outer scale of the protractor. How To Construct A 30 Degree Angle A 30° 30 ° angle is half of a 60° 60 ° angle. Construct a regular oct... | {
"domain": "xiaoruboke.com",
"id": null,
"lm_label": "1. Yes\n2. Yes",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9504109826342961,
"lm_q1q2_score": 0.8257425133715682,
"lm_q2_score": 0.8688267796346599,
"openwebmath_perplexity": 931.3162684767892,
"openwebmath_score": 0.7387092709541321,
"tags":... |
pressure, kinetic-theory-of-gases
Title: Equalization of pressure in heat exchanger I was solving numericals on Kinetic Theory of Gases when I came across this question
Two closed vessel of equal volume contain air at 105 kPa, 300 K and are connected through narrow tube. If one of the vessel is now maintained at 300 ... | {
"domain": "chemistry.stackexchange",
"id": 10788,
"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": "pressure, kinetic-theory-of-gases",
"url": null
} |
ros2
Title: [Autoware.Auto] GNSS conversion node not starting
I am trying to run the GNSS conversion node that converts the GNSS data from WGS_84 to ECEF co-ordinates. When I try to run the node for experimentation using
ros2 run gnss_conversion_nodes gnss_conversion_nodes_exe
I get the following error
1640158244.062... | {
"domain": "robotics.stackexchange",
"id": 37277,
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"tags": "ros2",
"url": null
} |
python, beginner, object-oriented, unit-testing
@suit.setter
def suit(self, suit):
if suit not in self.__class__.SUITS:
raise ValueError("Invalid Card Suit")
self.__suit = suit
@rank.setter
def rank(self, rank):
if rank not in self.__class__.RANKS:
raise Val... | {
"domain": "codereview.stackexchange",
"id": 38216,
"lm_label": null,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, beginner, object-oriented, unit-testing",
"url": null
} |
particle-physics, string-theory, supersymmetry
Suppose that superstring theory is a valid theory of nature. That is, every fundamental particle of nature, say $p$, is a vibrating string, with each vibrational mode corresponding to a different particle. Define $\Lambda$ to be the highest energy currently accessible at ... | {
"domain": "physics.stackexchange",
"id": 50894,
"lm_label": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "particle-physics, string-theory, supersymmetry",
"url": null
} |
algorithms, graphs, connected
Encode-child(T, u, p):
Let u_1, ..., u_m be the neighbors of u in T other than p.
Output the degree of u in T, i.e., m+1.
For i = 1, ..., m:
Suppose that u_i is the j'th smallest neighbor of u in G.
Output j, and run Encode-child(T, u_i, u). | {
"domain": "cs.stackexchange",
"id": 10676,
"lm_label": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "algorithms, graphs, connected",
"url": null
} |
pseudo-random-generators, random-number-generator
The series $x$ is defined as a series of w-bit quantities with the recurrence relation:
$$x_{k+n}:=x_{k+m}\oplus \left(({x_{k}}^{u} \mid\mid {x_{k+1}}^{l})A\right)\qquad \qquad k=0,1,\ldots$$
Note the lower part of the lowest term $x_k$, ${x_k}^l$ is not used in the... | {
"domain": "cs.stackexchange",
"id": 13991,
"lm_label": null,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "pseudo-random-generators, random-number-generator",
"url": null
} |
Elongation Example as a percentage is a number or ratio that represents a fraction of 100 to calculate?... Following procedure to calculate Engineering progress, percentage Change Calculator add all the... Two values below and Click the calculate '' button to get the third value l\times\ 100 } l! Under instrumentation ... | {
"domain": "raimokoski.fi",
"id": null,
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"lm_q2_score": 0.8577681104440172,
"openwebmath_perplexity": 1717.7497795570532,
"openwebmath_score": 0.8258670568466187,
"ta... |
# Is tension equal to the weight of another object?
I have been solving this problem:
A 5kg object on the table is linked to a 3kg object hanging from a massless rope in a pulley system as shown in the picture. Find the acceleration of a 5-kg objected. Ignore friction
So I drew up my free-body diagram and came up wi... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9572778012346835,
"lm_q1q2_score": 0.8136585399653603,
"lm_q2_score": 0.8499711775577736,
"openwebmath_perplexity": 352.2532803840848,
"openwebmath_score": 0.7623848915100098,
"tag... |
javascript, jquery, html, form, jquery-ui
$(".filter-option-output").css("display","none");
$(this).removeClass("output-active");
}
else{
$(".filter-option-output").css("display","none");
$(".pattern-output").toggle();
$(this).addClass("output-active");
}
});
$(".filter-... | {
"domain": "codereview.stackexchange",
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"openwebmath_score": null,
"tags": "javascript, jquery, html, form, jquery-ui",
"url": null
} |
If $x>0 ~\text{and}~y>0$ then $2^x+2^y$ is an even number . Hence :
$(x,y)=\{(0,7),(7,0)\}$
-
I couldn't understand how you could find the result?? there's no tip to find 0 or 7?? – Beytan Kurt Mar 27 '12 at 14:01
$2^x+2^y$ can be odd number only if $x=0 ~\text{or}~ y=0$ , therefore it is easy to calculate that valu... | {
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"lm_q1_score": 0.9648551525886193,
"lm_q1q2_score": 0.8365639103786997,
"lm_q2_score": 0.8670357494949105,
"openwebmath_perplexity": 588.7624019137643,
"openwebmath_score": 0.8722111582756042,
"tag... |
Now clearly the number $$\displaystyle 100$$ has two square roots, $$\displaystyle \pm 10$$.
BUT $$\displaystyle \sqrt{100}=10$$ that is one number. Moreover, $$\displaystyle -\sqrt{100}=-10$$ that is one number.
Thus it is absolutely incorrect to write that $$\displaystyle \sqrt{100}=\pm 10$$ | {
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"lm_q1_score": 0.9724147153749274,
"lm_q1q2_score": 0.8516281660938714,
"lm_q2_score": 0.8757869997529961,
"openwebmath_perplexity": 807.7533515363427,
"openwebmath_score": 0.7189590930938721,
"tags... |
quantum-mechanics, mathematical-physics, non-linear-systems
The only difference between this procedure and the familiar second quantization of the linear Schrodinger field, is that the solutions of the NLE depend nonlinearly on the initial parameters. Of course, it required a great deal of ingenuity to derive these ... | {
"domain": "physics.stackexchange",
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "quantum-mechanics, mathematical-physics, non-linear-systems",
"url": null
} |
homework-and-exercises, electromagnetism, magnetic-fields, magnetic-moment
Where $\bf{M}$ is the magnetization and $\hat{n}$ is the normal outgoing from the object considered.
My question is : how to see, from the definition that the total amperian current is zero? I.e., why is
$$I_{A,S}+I_{A,V}=0 \,\,\, \mathrm{every... | {
"domain": "physics.stackexchange",
"id": 36925,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "homework-and-exercises, electromagnetism, magnetic-fields, magnetic-moment",
"ur... |
slam, navigation, ros-kinetic, freenect-launch, rtabmap
Title: I am using 2 cameras, astra and kinect for mapping. Could someone tell how to run rtabmap for both the cameras simultaneously?
I need maps of both the cameras simultaneously. As soon as I run rtabmap in another terminal, the first process dies.
Originall... | {
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"id": 31210,
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"openwebmath_score": null,
"tags": "slam, navigation, ros-kinetic, freenect-launch, rtabmap",
"url": null
} |
beginner, strings, programming-challenge, haskell, recursion
Now we just need to get a list of strings. Since we now want to get something from the user, we have to use IO:
getUserLines :: Int -> IO [String]
Seems familiar, doesn't it? "repeat-an-action-n-times". This time, it's getLine. Since we don't want to throw ... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "beginner, strings, programming-challenge, haskell, recursion",
"url": null
} |
frequency-spectrum, dft, power-spectral-density
Would Bartlett's method become an unbiased estimator for the DFT variance if (3) was scaled by $\frac{1}{L-1}$ instead of $\frac{1}{L}$?
Variance is formally defined as the expectation of the square of the deviation of any observation to the mean:
$$Var(X) = \mathbf E\l... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "frequency-spectrum, dft, power-spectral-density",
"url": null
} |
beginner, haskell, random, monads, battle-simulation
Title: CIS194: Risk!-style "battles" After reading LYAH and using RWH as a reference, I've been doing the exercises from CIS194, which is often suggested to beginners on irc://freenode.net/#haskell and by this author. I've just completed Homework 12, which goes with... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "beginner, haskell, random, monads, battle-simulation",
"url": null
} |
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