text stringlengths 1 1.11k | source dict |
|---|---|
python, python-3.x, functional-programming
# While we can do this...
curry(foo)(1, 2, 3)
curry(bar)(a=1, b=2, c=3)
# We can't do this, which is perhaps confusing
curry(foo)(1)(2)(3)
curry(bar)(a=1)(b=2)(c=3)
Consider also curry(list) or curry(set).
Knowing that this won't work relies on you understanding the inner w... | {
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"tags": "python, python-3.x, functional-programming",
"url": null
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c#, performance, algorithm, programming-challenge, trie
/*
* Problem statement:
* https://www.hackerrank.com/contests/rookierank-2/challenges/prefix-neighbors
*
* Solution notes:
* This problem can be solved using Trie and DP. Create a trie from the
* given set of strings.
* Find the prefix neighbor of each ... | {
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"tags": "c#, performance, algorithm, programming-challenge, trie",
"url": null
} |
condensed-matter, fermions, bosons, spin-models, spin-statistics
Title: What if we used "Schwinger Fermions" to study spin waves? When studying spin waves excitations in the Heisenberg Hamiltonian people often use Schwinger Bosons representation or Holstein-Primakoff which is a specific case of Schwinger Bosons. This ... | {
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"tags": "condensed-matter, fermions, bosons, spin-models, spin-statistics",
"url": null
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java
Should solve() clone/copy BinaryPuzzle and return a new one? Or is the fact that it returns a boolean enough to imply that the BinaryPuzzle given as param is modified?
Again, a functional programmer would say absolutely return a new copy. In Java, you don't get the same language benefits that make this cheap or... | {
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# Homework Help: Integral of y dx?
1. Dec 22, 2013
### imull
1. The problem statement, all variables and given/known data
Solve the differential equation: dy/dx = y+3
2. Relevant equations
3. The attempt at a solution
When I try to integrate with respect to x, I get ∫dy/dxdx - ∫ydx=∫3dx→y-∫ydx=3x
So what... | {
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"ta... |
integrable-systems
$$\text{tr}_{ab}[T_a\,T_b] = \text{tr}_{ab}[R_{ab}^{-1} \, T_b\,T_a\, R_{ab}] = \text{tr}_{ab}[T_b\,T_a\, R_{ab} \, R_{ab}^{-1}] = \text{tr}_{ab}[T_b\,T_a] \ ,$$
where the middle equality uses cyclicity of the trace. (Note that we cannot use this cyclicity to reverse the two monodromy matrices sinc... | {
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"tags": "integrable-systems",
"url": null
} |
of the linear system X'. 1 we draw the phase portrait (or phase diagram), where each point (x,y) corresponds to a specific state of the system. Each set of initial conditions is represented by a different curve, or point. 2 Phase portraits • A phase portrait of an n-dimensional autonomous system x ′ (t) = f (x (t)) is a... | {
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"lm_q1_score": 0.9910145704512985,
"lm_q1q2_score": 0.8519393042256899,
"lm_q2_score": 0.8596637523076224,
"openwebmath_perplexity": 791.4518817998761,
"openwebmath_score": 0.5916582942008972,
"ta... |
quantum-mechanics, interactions
Title: Quartic terms as two particle interaction? In some lecture notes I found the sentence:
[...] considering two toy models: the classical and quantum harmonic oscillator with quartic perturbation. The quartic terms $\sim x^4$ and $\sim \hat x ^4$, respectively, correspond to the tw... | {
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"tags": "quantum-mechanics, interactions",
"url": null
} |
c++
double getXWidth()const {
return xwidth;
}
double getYHeight()const {
return yheight;
}
// End Getters
// Base
bool collides(AABB other) {
if (xwidth < other.x || x > other.xwidth) { return false; }
if (yheight < other.y || y > other.yheight) { return false... | {
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"tags": "c++",
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- ViolinGod
Note: This is written more compactly as $$\binom{9}{2,3,4}=\binom{9}{2}\binom{9-2}{3}\binom{9-(2+3)}{4} = \boxed{1,260}$$
## Solution 2
We can do this on a case-by-case basis. We divide the problem into three cases, each representing one cube to be excluded:
1) The red cube is excluded. This gives us th... | {
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"lm_q2_score": 0.8244619199068831,
"openwebmath_perplexity": 466.634031934805,
"openwebmath_score": 0.6538372039794922,
... |
ros, roslaunch, roscore, rosversion
Title: ROS Answers SE migration: roscore error
I have searched but have not found anything that adequately solves my problem.
When I type in "roscore" to test ros and make sure my installation was successful it displays this error:
roscore invalid <param> tag: Cannot load command ... | {
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"tags": "ros, roslaunch, roscore, rosversion",
"url": null
} |
python, file-system, plugin
BASE_DIR = os.path.dirname(__file__)
PLUGINS_PATH = os.path.join(BASE_DIR, 'plugins')
def discover_dictionaries():
import plugins
for plugin_name in os.listdir(PLUGINS_PATH):
plugin_path = os.path.join(PLUGINS_PATH, plugin_name, plugin_name + '.py')
if os.path.isfil... | {
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"tags": "python, file-system, plugin",
"url": null
} |
python, python-3.x, web-scraping
"""
Based on the strip url, fetches the comic image source and downloads it
"""
start = time.time()
url_list = get_comic_strip_url(fcsd, lcsd)
os.mkdir(DEFAULT_DIR_NAME)
for url in url_list:
session = requests.Session()
response = session.get(... | {
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actual word-on-the-page is the same in all the versions. Calculus 2 is ridiculously hard! Thread starter cystapharm. Math 106--Calculus II: Project 2still living in an industrial world by Gavin LaRose ([email protected] Calculus II is the payoff for mastering Calculus I. edu), Nebraska Wesleyan University, October 1995... | {
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"lm_q1_score": 0.9814534376578004,
"lm_q1q2_score": 0.8135648471825841,
"lm_q2_score": 0.8289388125473628,
"openwebmath_perplexity": 1048.9317763334102,
"openwebmath_score": 0.5732594132423401,
"tags"... |
To expand on Henry's comment, this is equivalent to finding the coefficient of $$x^{15}$$ in $$(x^3+x+x+1)^7$$. And that is equivalent to finding the number of ways of choosing (with replacement) seven numbers from [3,1,1,0] that add up to 15 (note for the purposes of this counting, the two 1's are distinguishable). In... | {
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"lm_q1_score": 0.9861513885634199,
"lm_q1q2_score": 0.8301675387921917,
"lm_q2_score": 0.8418256551882382,
"openwebmath_perplexity": 131.4410210764893,
"openwebmath_score": 0.91084885597229,
"tags"... |
homework-and-exercises, time, acceleration, kinematics, distance
Is this enough information to calculate how much time until the car reaches a specific speed of 2 m/sec?
What I'm Trying:
If I could get the deceleration rate, I could use:
$$\ D=vt+(1/2)at^2
$$
I can solve for v to get a velocity, and then use ... | {
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"tags": "homework-and-exercises, time, acceleration, kinematics, distance",
"url": null
} |
php, mysql, search
As you already have variables that have been mildly sanitised with mysql_real_escape_string() why not pass them to the function as variables as well. Or declare them global variables within the function? In essence the easier way is to make sure you are not duplication your code, setting a variable ... | {
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"tags": "php, mysql, search",
"url": null
} |
arduino, c++
// Find out after how many steps we must start deceleration.
// n1 = (n1+n2)decel / (accel + decel)
acceleration_step_limit = ((long)motor_steps * motor_decel) / (motor_accel + motor_decel);
// We must accelrate at least 1 step before we can start deceleration.
if (acceleration_ste... | {
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"id": 25916,
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"openwebmath_score": null,
"tags": "arduino, c++",
"url": null
} |
ros, teleoperation
Title: Is there a way to prioritize traffic in ROS?
There are two types of messages in our teleoperation system, i.e. video stream and haptic feedback. So it is important that data rate for haptic feedback should be not less than certain value. For video stream it is much less critical.
Probably, I... | {
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"tags": "ros, teleoperation",
"url": null
} |
operators, mathematical-physics, path-integral, regularization, functional-determinants
References:
G.V. Dunne, Functional Determinants in QFT, lecture notes, 2009; Chap. 5. PDF & PDF.
K. Kirsten & A.J. McKane, J.Phys. A37 (2004) 4649, arXiv:math-ph/0403050. | {
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1 times 1 is 1 right? So where does the 2 come in?
@ticbol:
how do you get this step highlighted in bold?
LHS = 2 csc 2x
= 2 / sin 2x
= 2 / 2 sin x cos x
= 1 / sin x cos x
= csc x sec x
= RHS
what happens to the first 2 in 2 csc 2x?
Huh? How would I answer that?
2csc(2x)
= 2[1/sin(2x)
= 2 / sin(2x)
sin(2x) = 2sin... | {
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"lm_q2_score": 0.8267118004748677,
"openwebmath_perplexity": 3116.63319359366,
"openwebmath_score": 0.9200149774551392,
"tags... |
ros, gazebo, turtlebot, messages, ros-indigo
Title: How to find list of messages published on particular topic?
I am using turtlebot in gazebo which uses "scan" message for publishing laser scan data, by using rostopic type scan command I can find out type of the message i.e. sensor_msgs/LaserScan , Is there way to f... | {
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"tags": "ros, gazebo, turtlebot, messages, ros-indigo",
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} |
java, algorithm, recursion, sudoku
public class SudokuGenerator { | {
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"tags": "java, algorithm, recursion, sudoku",
"url": null
} |
gravity, quantum-gravity, gravitational-waves, carrier-particles
are GWs made up of gravitons, or not?
are gravitons the quanta of GWs or not? Suppose you start with some spacetime geometry. This could be any geometry but when explaining gravitational waves it's usual to start with a flat spacetime so the metric would... | {
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"tags": "gravity, quantum-gravity, gravitational-waves, carrier-particles",
"url": null
} |
php, object-oriented, design-patterns, http, url-routing
Single-responsibility principle
Open–closed principle
Liskov substitution principle
Interface segregation principle
Dependency inversion principle
Then several improvements are possible:
Split the class into a Matcher and a Container class, to separate respons... | {
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"tags": "php, object-oriented, design-patterns, http, url-routing",
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python, regex
Therefore, the following pattern will be the simplest approach (imo)
^(?:\d[*+]){0,49}\d$
which is the tiniest bit modified from your original expression.
You can check the pattern in action here on the following expressions:
1+2*3*8+0
9
9*9
1*2+1*2+1*2+1*2+1*2+1*2+1*2+1*2+1*2+1*2+1*2+1*2+1*2+1*2+1*2+1*... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, regex",
"url": null
} |
coq, type-inference, proof-assistants
Whether the implementation does implement a given typing system $T$?
Whether the typing system $T$ does prevent the errors you think it should?
The former is really a question in program verification and has little to
do with typing. Just needs showing that your implementation me... | {
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c++, statistics
size_t size() const {
return m_size;
}
FloatingPoint average() const {
return m_sum / m_size;
}
FloatingPoint variance() const {
FloatingPoint step1 = m_square_sum - (m_sum * m_sum) / m_size;
return step1 / (m_size - 1);
}
FloatingPoint standar... | {
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"tags": "c++, statistics",
"url": null
} |
general-relativity, gravity
However, are there any experiments that show us special relativity is valid in the absence of gravity? I would naively think that experiments that prove special relativity (e.g. time dilation/length contraction) are always done in the presence of gravity. The phrase "special relativity is i... | {
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"tags": "general-relativity, gravity",
"url": null
} |
probability interval, used for purposes similar to those of confidence intervals in frequentist statistics. Bayesian parameter interpretation. The probability of flipping a coin and getting heads is one-half. For Frequentists, it's the long-run expected events / total sample size VS the Bayesian degrees of belief. Last... | {
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"lm_q2_score": 0.8267117919359419,
"openwebmath_perplexity": 1148.3731933812414,
"openwebmath_score": 0.7229945063591003,
"tags": n... |
c#, performance, interview-questions, hash-map
Title: Count the occurrence of each unique word in the file I've been doing a task for an interview that I will have soon.
The requirement is to code the following problem in C#.
Write a program (and prove that it works) that: Given a text file, count the occurrence of e... | {
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electromagnetism, electricity, magnetic-fields, electric-circuits, history
Because Ampère was opposed to any violations of Newton's Third Law.
See §20.3 (pp. 261-262) of:
André-Marie Ampère, Ampère’s Electrodynamics: Analysis of the Meaning and Evolution of Ampère’s Force between Current Elements, Together with a Com... | {
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"tags": "electromagnetism, electricity, magnetic-fields, electric-circuits, history",
"ur... |
ros-melodic, roslaunch, pcl, nodelet, voxel-grid
if (approximate_sync_)
{
sync_input_indices_a_ = boost::make_shared <message_filters::Synchronizer<sync_policies::ApproximateTime<PointCloud2, pcl_msgs::PointIndices> > >(max_queue_size_);
sync_input_indices_a_->connectInput (sub_input_filter_, sub_indic... | {
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"tags": "ros-melodic, roslaunch, pcl, nodelet, voxel-grid",
"url": null
} |
reference-request, efficiency, parallel-computing
This is a nice theoretical prediction, and the question arises: is this prediction borne out in practice? Or do implicit dependencies or diverging behaviours of the different processors (i.e. a breakdown in the iid assumption) tend to curtail this supposedly unbounded... | {
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value of a function that has a derivative at all points in an For a function f(x) that has a derivative at every point in an interval [a, b], the maximum or minimum values can be found by using the following procedure: 1. By using this website, you agree to our Cookie Policy. Similar topics can also be found in the Cal... | {
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"lm_q2_score": 0.86153820232079,
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"openwebmath_score": 0.6303600668907166,
... |
-
The answer (see my post) is $n-H_{n-1}$, but this is probably the right way to go. – Donkey_2009 Aug 11 '13 at 0:56
The answer is $\frac{1}{2}$ as was said.
The general pattern is that for $n$ people, there is a $\frac{1}{n}$ probability of success, $\frac{1}{n}$ probability of failure, and an $\frac{n-2}{n}$ prob... | {
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machine-learning, classification, scikit-learn, k-nn
testY = testData['Y']
testX = testData.drop(['Y'],axis=1)
I use sklearn KNeighborsClassifier with 5 fold cross validation whilst tweaking the k value from 2 to 20:
trainAcc = []
testAcc = []
for i in range(2,20):
clf = KNeighborsClassifier(n_neighbors=i, metri... | {
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} |
The probability that the second card is a spade, given the first was a spade, is , since there is one less spade in the deck, and one less total cards. If getting a card of spade is considered a success, find the probability distribution of the number of success. The probability that the second card is the Ace of Diamo... | {
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"openwebmath_score": 0.46187305450439453,
"tags"... |
ros, rospy, turtlesim, tutorials
turtle_cl::turtleCL hello;
hello.velocity_calc();
ros::spin();
}
Originally posted by prasgane on ROS Answers with karma: 16 on 2017-09-21
Post score: 0
Original comments
Comment by jayess on 2017-09-21:
Can you please post the relevant code here? If your code gets removed from ... | {
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ros, rosdep, dependencies, package, ros-indigo
Edit:
I can install a ROS package only using rosdep, right? Or can I also use another tool (e.g. apt)?
I would say that the typical way to install ROS packages (on Ubuntu and Debian at least) would/should be using apt (it is also used in the official installation tutori... | {
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"url": null
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First Derivative; Fundamental Theorem of Calculus; Infinite. Trigonometry is useful when setting up problems involving right triangles. Since the period is T, we take the fundamental frequency to be ω 0 =2π/T. It contains explanations and examples in 15 topical areas. 1 Using Fundamental Identities Objective: In this l... | {
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"openwebmath_score": 0.8569939732551575,
"tags": null,
... |
newtonian-mechanics, forces, electrostatics, torque, dipole
$$
\vec{\tau} = p\vec{e}\times \vec{E} = \vec{p}\times \vec{E}.
$$
Again, it is possible to write this in polar coordinates if we wish. We need to define $\vec{e}=(\sin\theta'\cos\phi',\sin\theta'\sin\phi',\cos\theta')$, where the angles $\theta'$ and $\phi'$... | {
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"tags": "newtonian-mechanics, forces, electrostatics, torque, dipole",
"url": null
} |
np-complete, satisfiability, p-vs-np
(representing D>M)
$d_1 \land e_1 = n_1$ (representing least significant bit multiplication)
$(d_1 \land e_2) \oplus (d_2 \land e_1) = n_2$ (representing the next bit multiplication)
$n_3 = ... ; n_4 = ...$
END-OF-SKIP
The crux is, when applying Schaefer's theorem, we must only con... | {
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"tags": "np-complete, satisfiability, p-vs-np",
"url": null
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As Bill has stated in the comments this is essentially a matter of definition. When the concept of division is rigorously defined for functions in this sense, it is generally defined to be multiplication by the reciprocal function. In this case the expression $$R(x)\div\frac{x+a}{x-b},$$ where $$R(x)$$ is some rational... | {
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"tag... |
health
when the the person listens to his body and stops when it hurts or something goes over; can rest accordingly.
Good motivation is useful in gaining good health.
Motivation is the strength and direction of the effort.
If you are interested in morning exercise, then you can set target and make a realistic plan.
Li... | {
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} |
I think another way to approach this problem is to model the game as a Markov chain with the following transition probability matrix, $$M$$:
$$\begin{matrix} & \text{From state} \\ \text{To state} & {\begin{array}{r|ccccccc} & 0 & 1 & 2 & 3 & 4 & \text{win} & \text{lose} \\ \hline 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & ... | {
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"openwebmath_score": 0.6796495318412781,
"ta... |
and sometimes without a medium, the period the... Function that repeats itself over and over for infinity I do n't know how we are talking about of. Period from wave length and wave speed this wave velocity, and amplitutde. 0.1 seconds for. While the frequency of a periodic function is a characteristic of the wave and ... | {
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"id": null,
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"lm_q2_score": 0.9252299493606285,
"openwebmath_perplexity": 617.9520816993594,
"openwebmath_score": 0.6891902685165405,
... |
integer m, one obtains a formula involving an unknown quantity ey. 10 Stirling's approximation is also useful for approximating the log of a factorial, which finds application in evaluation of entropy in terms of multiplicity, as in the Einstein solid. → = ( N / e) N, (27)Z = λ − 3N(eV / N)N. and. … and gives Stirling'... | {
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"openwebmath_perplexity": 1018.662859576413,
"openwebmath_score": 0.9310174584388733,
"tags": n... |
problem above would only increase the value of the account to$3000. But 50 years of 10% annual interest compounded semiannually would increase the value of the account to more than $65,000. However, as mentioned, over the very short term compound interest has a negligible effect and adds only a tiny bit to simple inter... | {
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"openwebmath_perplexity": 2390.3347311297957,
"openwebmath_score": 0.5891886353492737,
"tags": nu... |
python, matplotlib, data-visualization
def surface(X,Y,Z,**kwargs):
"""
Takes the X, Y and Z lists and plots them as a 3D surface plot
through matplotlib.
Keyword arguments:
X -- List of the X-coordinates
Y -- List of the Y-coordinates
Z -- List of the Z-coordinates
xlabel -- Label fo... | {
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"tags": "python, matplotlib, data-visualization",
"url": null
} |
c, networking, unix, posix
if (handle_connections (master_fd) == -1) {
close (master_fd);
return EXIT_FAILURE;
}
close (master_fd);
return EXIT_SUCCESS;
}
Formatting:
indent -kr -cs -pcs -saf -sai -saw --no-tabs --case-indentation 4 selectserver.c selectserver.h log.h log.c
Makefile:
# th... | {
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"tags": "c, networking, unix, posix",
"url": null
} |
For the interval [100, 999], there is one term removed from 100 - 109, 18 terms removed from 110 - 199, 1 term removed from 200 - 219, 18 terms removed from 220 - 299, and so on, with the last being 18 terms removed from 800 - 899 terms. Finally, we have 100 terms removed from [900, 999]. In total this is 8*1 + 8*18 + ... | {
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"openwebmath_perplexity": 438.238980764145,
"openwebmath_score": 0.7517779469490051,
"tags": nu... |
ngs, genome, fastqc
Title: Per Base Sequence Content in fastqc I have a question regarding "Per Base Sequence Content" plot for "fastqc":
In the fastqc documentation, it is written: "In a random library you would expect that there would be little to no difference between the different bases of a sequence run, so the l... | {
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Intuitively, if a quantity has the same measure at every moment of its independent variable, then its value is not changing and its rate of change is 0. More formally, for $h\gt0$
\color{red}{\text{(Eq. 6.3.1)}}\qquad \begin{align} f(x)&=c\\[1ex] r(x)&=\frac{f(x+h)-f(x)}{h}\\[1ex] &=\frac{c-c}{h}\\[1ex] &=0\\[1ex]r_f(... | {
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"openwebmath_perplexity": 486.6490195661937,
"openwebmath_score": 0.9101719856262207,
"tags":... |
books to browse. Abel transform amplitude angular antenna aperture distribution applied autocorrelation function Bracewell circuit coefficients complex components convolution theorem convolving cosine defined derivative digits discrete discrete Fourier transform discrete Hartley transform electrical equal equation equi... | {
"domain": "vitadaprof.it",
"id": null,
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"lm_q1_score": 0.9873750488609223,
"lm_q1q2_score": 0.833240966180046,
"lm_q2_score": 0.843895100591521,
"openwebmath_perplexity": 667.7838063531566,
"openwebmath_score": 0.855606734752655,
"tags": nul... |
python
Also note that the next value after
``[base - 1]`` is ``[0, 0]``, not ``[1, 0]``::
>>> list(StringRange('0', '19', CharacterMap.ASCII_DIGITS))
[
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'00', '01', '02', '03', '04', '05', '06', '07', '08', '09',
'1... | {
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} |
quantum-mechanics, optics, electrons
The electron has scattered off atoms in the chamber ionizing them and the bubbles are formed where the ions were. It is turning in the magnetic field imposed and is losing energy from the scatters. In contrast to the cloud picture, it is not light that scatters off the object, but ... | {
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"tags": "quantum-mechanics, optics, electrons",
"url": null
} |
lasers, surface-modelling
courses and I'm not sure of the terminology. Any help would be appreciated There's some irregularities in the question that might make the answer easier or more difficult. With a non-spherical object, one can and must allow for discrepancies. | {
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group_namevalue
a9
b6
c9
But what if you wanted to find the top 2 values in each group? In MySQL, this can be achieved using the aggregate function GROUP_CONCAT which takes all the values in a column in a group, sorts them, and concatenates them into a single string. The problem is that in MySQL v5 there is no way to l... | {
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"lm_q2_score": 0.8499711775577735,
"openwebmath_perplexity": 392.9481583328906,
"openwebmath_score": 0.8286980986595154,
"tags": n... |
general-relativity, spacetime, curvature, speed
Title: How certain are we that and objects spacetime speed is constant I just recently realized - through the aid of a simple yet effective video - that mass curves not space, but spacetime. This has lead me to finally understand why we use geodesics to explain the appar... | {
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"tags": "general-relativity, spacetime, curvature, speed",
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differentiable functions from R to R. This means that there exist scalars a,b such that av+bw=u. Web Study Guide for Vector Calculus This is the general table of contents for the vector calculus related pages. Hence, the vector Xθ is in the column space. Developing filters with Python has several advantages– it's fast ... | {
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"lm_q2_score": 0.8596637559030338,
"openwebmath_perplexity": 771.0403648806702,
"openwebmath_score": 0.7472466826438904,
"tags": n... |
arduino, mobile-robot, two-wheeled
Title: Accounting for error in multiple electric motors Our goal is to drive an autonomous robot with a differential locomotion system using two identical electric motors and an Arduino Uno (1 for each wheel). From our understanding, over time the motors can lose accuracy and may res... | {
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-Dave K
3. Jul 2, 2013
### EJChoi
If the curve is under the x-axis the integral has a negative value.
Basically this gives you the net area under the curve.
If you want to find the total area both under and above the x-axis, you'll need to integrate the modulus of the function.
i.e $$\displaystyle \int^{2\pi}_{0}... | {
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"openwebmath_perplexity": 577.5905012305257,
"openwebmath_score": 0.8941868543624878,
"tag... |
quantum-field-theory, statistical-mechanics, hilbert-space
In QFT a Fock space is still used because people do perturbation theory of the interacting theory around the free theory, so they use the $n$-particle states of the free theory as approximate states of the (weakly) interacting theory. This is so, because histo... | {
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Problem 1.2i in Atiyah-Macdonald states that for any ring $A$ and $f=a_0+\cdots+a_nx^n\in A[x]$, $f$ is a unit $\iff$ $a_0$ is a unit in $A$, and the $a_i$ are nilpotent.
Note that $A=\mathbb{Z}/n\mathbb{Z}$ has nontrivial nilpotents $\iff$ $n$ is not squarefree.
In your specific case, $\mathbb{Z}/4\mathbb{Z}$ has 0 ... | {
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"openwebmath_score": 0.862253725528717,
"tags... |
ros, navigation, move-base, ros-kinetic
Comment by JackB on 2020-10-08:
That is exactly the situation I describe in my answer:
"That being said, the only information the Global Planner has when you give it a goal, is the global_costmap, and that's it. What it essentially does with that, is a graph search across all po... | {
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homework-and-exercises, astrophysics, astronomy, luminosity
So substituting given values into $(3)$ and simplifying
$$28.95=-2.5\log_{10}\left[\frac{L_{\zeta}}{L_{\bigodot}}\left(\frac{4.84\times 10^{-6}}{460}\right)^2\right]$$
$$\implies 10^{-\dfrac{28.95}{2.5}}=\left[\frac{L_{\zeta}}{L_{\bigodot}}\left(\frac{4.84\ti... | {
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"tags": "homework-and-exercises, astrophysics, astronomy, luminosity",
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c++, algorithm, recursion, c++20
template<std::size_t unwrap_level, typename F, typename T1, typename... Ts>
using recursive_variadic_invoke_result_t = typename recursive_variadic_invoke_result<unwrap_level, F, T1, Ts...>::type;
// recursive_array_invoke_result implementation
template<std::size_t, typename, typename... | {
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"tags": "c++, algorithm, recursion, c++20",
"url": null
} |
algorithms, graphs
I think this proof is somewhat naive and vague (especially in the end) and maybe even incorrect, so I'm seeking suggestions to make a better one. Not necessarily super-formal, but at least something which is sufficiently strict and believable. A complete graph with red and black edges is just an unn... | {
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"tags": "algorithms, graphs",
"url": null
} |
$$\theta_{s} - \theta_{m} = 2\pi k$$ $$\frac{2\pi}{60} t - \frac{2\pi}{3600} t= 2\pi k$$ $$2\pi t(\frac{1}{60} - \frac{1}{3600} )= 2\pi k$$ $$t\frac{59}{3600}= k$$
At time $t=0$, the hands coincide. At time $t=7200 s$ or two hours, we see that $$k= (7200)\frac{59}{3600}= 118$$
Thus the hands have been coincident 118 ... | {
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"openwebmath_perplexity": 326.0957506352023,
"openwebmath_score": 0.7455263137817383,
"tag... |
classical-mechanics, lagrangian-formalism, constrained-dynamics
So, on a topologically non-trivial configuration space, it can happen that a constraint given by a closed form is not exact, so it will not be holonomic.
This doesn't say much about your constraint, it says something about the configuration space - it has... | {
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"url": null
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The function passes the horizontal line test. Here ’ s appropriate to have an inverse function the coordinate plane values & nbsp different outputs a! To set theory or horizontal line test inverse as foundational domain, the function does have inverse... The reflection of the graph the horizontal line at any part of th... | {
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"openwebmath_score": 0.6376665830612183,
"tags... |
Simplifying $r^3/r^2$, we finally get;
$$\lim_{r \to 0} \frac{r (\cos^2\theta\sin\theta)}{r^2\cos^4\theta + \sin^2\theta}$$
Now from the above, we find that as $r \to 0$ the limit is $0$.
I wanted to verify this answer so I checked on Wolfram Alpha. Explicitly without changing to polar coordinates, it said that the ... | {
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"lm_q2_score": 0.8354835289107307,
"openwebmath_perplexity": 263.15230931978516,
"openwebmath_score": 0.9278957843780518,
"ta... |
formal-grammars
And that's the case. Operator-precedence grammars tend to accept a superset of the desired language, and you need to augment them with a number of checks to ensure that invalid sentences like the one you threw at your parser don't actually get recognized. | {
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"tags": "formal-grammars",
"url": null
} |
php, mysqli
$emailStmt->bindParam('s', $_POST['email');
$emailStmt->bind_result($dbEmail);//fetches result into this variable
if (!$emailStmt->execute() || $emailStmt->num_rows === 0)
{
header('Location: '.basename($_SERVER['PHP_SELF']));//302 redirect is fine here
$emailStmt->close();
$mysqli->close();//b... | {
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"id": 4683,
"lm_label": null,
"lm_name": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "php, mysqli",
"url": null
} |
python, python-3.x, pandas, beautifulsoup
Title: Parsing HTML table into Pandas DataFrame There is a text (link clickable) file with HTML table. The table is a bank statement. I'd like to parse it into pandas DataFrame. Is there a way to do it more gracefully? I've started to learn Python recently so there is a good c... | {
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"openwebmath_score": null,
"tags": "python, python-3.x, pandas, beautifulsoup",
"url": null
} |
animal-models, mouse, noncoding-rna
What makes Mus Musculus a good model organism? I'm inclined to think that some mouse genes might have homological human genes; is there more to that? Bonus points for answers that would show how research on non-coding RNAs, as compared to protein-coding genes, in mice would apply to... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "animal-models, mouse, noncoding-rna",
"url": null
} |
Combination problems. Another way of thinking about it is how many ways are there to, from a pool of six items, people in this example, how many ways are there to choose four of them. Four need to be selected for a committee. Découvrez vos propres épingles sur Pinterest et enregistrez-les. Combinations deal subsets of ... | {
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"lm_q1_score": 0.9518632316144274,
"lm_q1q2_score": 0.8013028867147529,
"lm_q2_score": 0.8418256532040707,
"openwebmath_perplexity": 2068.988398567121,
"openwebmath_score": 0.49980077147483826,
"tags": nu... |
ros, rplidar, transform, tf2
Originally posted by Husam with karma: 26 on 2022-04-21
This answer was ACCEPTED on the original site
Post score: 0 | {
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Thus, $0.575757\cdots$ is given by $\frac{57}{99}$. $0.837168371683716\cdots$ is given by $\frac{83716}{99999}$, etc.
If you have some decimals before the repetition begins, e.g., $x=2.385858585\cdots$, then first multiply by a suitable power of $10$, in this case $10x = 23.858585\cdots = 23 + 0.858585\cdots$, so $10x... | {
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"lm_q1_score": 0.987758722546077,
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"lm_q2_score": 0.8962513641273355,
"openwebmath_perplexity": 871.6057100813944,
"openwebmath_score": 0.9437023997306824,
"tags... |
the form in... Denoting permutations is always even, as well as the product of two even permutations merely... [ math ] 5\times5 [ /math ] permutation matrix P such that PEPT precisely... Use of matrix notation in denoting permutations is always even, and Gauss transform matrices a matrix not to... Operation on permuta... | {
"domain": "wmassiaei.org",
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"lm_q1_score": 0.9579122756889437,
"lm_q1q2_score": 0.8372893056092491,
"lm_q2_score": 0.8740772269642949,
"openwebmath_perplexity": 449.31180696833724,
"openwebmath_score": 0.9131399393081665,
"ta... |
quantum-mechanics, electromagnetism, optics, quantum-electrodynamics, quantum-optics
Interference effects such as double-slit interference are not representative of the quantum-wave nature of photons. | {
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ros, imu, accelerometer
6.
IMU lin_acc reading [x, y, z]: [-10.07480059, -0.16280571, 0.09576807]
expected lin_acc after rotation: [~0, ~0, ~9.81 ]
observed lin_acc after rotation: [ 1.86515326, 7.72080671, -6.20061538] I see this kind of question a lot, and my answer is always the same - use the Madgwick filter.... | {
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"tags": "ros, imu, accelerometer",
"url": null
} |
javascript, jquery, form, event-handling
I've simplified the HTML; since the name attributes already divide the checkboxes into different groups, there's little need for the all_perks/admin_perks. Instead all checkboxes simply share a basic perk class, and are then grouped by their name.
I've also skipped disabling th... | {
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} |
$$\frac{3}{29}=[9,28]$$
You can easily check this expansion for any rational number.
As for the constant above we get:
$$\frac{e^2-3}{e^2+1}=[1,3,31,74,315,750,14286,\dots]$$
Not the same as $[1,2,3,4,5,6,7,\dots]$ above!
We have similar sequences growing exponentially for any irrational number I checked.
$$e-2=[... | {
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"openwebmath_score": 0.9045830965042114,
"tag... |
javascript, localization, cordova
I am really interested in any comments you have. Would there be a better solution or any better methods to use in my implementation? AFAIK, accessing local files using XMLHttpRequest won't be a problem once you have your page up on a web server.
Anyway, if you decide to go with the so... | {
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"tags": "javascript, localization, cordova",
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BTW heat equation
\begin{align*}
&u|_{t=0}=g(x),\\
&u|_{x=0}=p(t)
\end{align*}
also has a continuous solution if and only if $p(0)=g(0)$ (compatibility condition) but the discontinuity stays in $(0,0)$ rather than propagating along characteristics as for wave equation.
Title: Re: Problem 1
Post by: Rouhollah Ramezani ... | {
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"openwebmath_perplexity": 1022.3125856879756,
"openwebmath_score": 0.8068831562995911,
"tags": n... |
algorithms, time-complexity, space-complexity
We iterate the array with an index $z$ starting from $y+1$ up to $N$. For each subarray, we calculate its sum, and if its length is less than $Lengths[sum]$ (where sum is the one we just computed), we set $Lengths[sum]$ to $z-y$, the length of this subarray.
We iterate the... | {
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"tags": "algorithms, time-complexity, space-complexity",
"url": null
} |
-
@JonasMeyer, Yes my mistake I didn't read the question thoroughly and not taking primes was just my way of being lazy. Fixed now. – JSchlather Feb 1 '13 at 19:57
These $k$-powerful and $k$-maximal fields take some getting used to, particularly since I couldn't yet locate any documents on these in Wikipedia or MathWo... | {
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"lm_q1_score": 0.9854964224384746,
"lm_q1q2_score": 0.8010778358798879,
"lm_q2_score": 0.8128673201042492,
"openwebmath_perplexity": 245.78265703111848,
"openwebmath_score": 0.9042699933052063,
"ta... |
java, beginner, object-oriented, linked-list
Would that method notice anything different than if we had passed an actual instance of BaseClass?
The answer has to be no. It should have exactly the same methods as the BaseClass (I mean, the name, parameter types and return type. The implementation can of course differ).... | {
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"url": null
} |
condensed-matter, symmetry-breaking, bosons, superfluidity, quasiparticles
$$\Pi_{\mu\nu}(p) := \int \d^d x\; e^{ip\cdot x} \Big\langle \mathcal{T}\big[(\star K)_\mu(x) J_\nu(0) \big] \Big\rangle,$$
in the Källén-Lehman representation
$$ \Pi_{\mu\nu}(p) = \int_0^\infty \d\mu^2\; \rho\big(\mu^2\big)\, \frac{p_\mu p_\n... | {
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"id": 67108,
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"tags": "condensed-matter, symmetry-breaking, bosons, superfluidity, quasiparticles",
"ur... |
Now let's look at the second term: $$x^2 - 2nx + (n^2 - n) = 0$$. Let's look at the discriminant, which is the expression under the square root in the quadratic formula: $$(-2n)^2 - 4(1)(n^2 - n) = n$$. So when $$n < 0$$, we get no real roots, when $$n = 0$$ we get one double root, and when $$n > 0$$ we get two distinc... | {
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"lm_q1_score": 0.9854964211605606,
"lm_q1q2_score": 0.8102644499402297,
"lm_q2_score": 0.822189134878876,
"openwebmath_perplexity": 141.08385317702374,
"openwebmath_score": 0.900641143321991,
"tags... |
astronomy, stars, stellar-evolution
The figure above, from the Wikipedia Hayashi Track entry, shows representative PMS evolutionary tracks for different masses. The blue lines are tracks through the H-R diagram for PMS objects of different masses; they start on the upper diagonal, called the birth line (the time when ... | {
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"openwebmath_score": null,
"tags": "astronomy, stars, stellar-evolution",
"url": null
} |
c++, performance, beginner, file, ai
The inner body of the while (true) loop in main() in ai.cpp would benefit from a switch-case statement instead of all these if-else blocks.
Why do you have comments containing code sprinkled throughout your program? I get the impression that what you've submitted here is some non-f... | {
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"tags": "c++, performance, beginner, file, ai",
"url": null
} |
Senate Passes Tax Bill • FBN AM December 20 2017 by Patrice Lee Onwuka
Are Black Women Leaving The Democratic Party to Become Independents? December 19 2017 by Patrice Lee Onwuka
Final GOP Tax Bill • Risk & Reward December 15 2017 by Patrice Lee Onwuka
Statement: Unnecessary internet regulation no more, FCC right to ov... | {
"domain": "aquatique-freiburg.de",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9898303416461329,
"lm_q1q2_score": 0.8226906132284809,
"lm_q2_score": 0.831143054132195,
"openwebmath_perplexity": 4883.329051840215,
"openwebmath_score": 0.2524711489677429,... |
wavelet, stft
What is the difference between CWTs? There are differences in axis-scales. However, I suspect that the main difference is that the first picture relates to either a real CWT (or time-frequency transform) or the real-part of a complex CWT (or time-frequency transform, again), while the second seems to be ... | {
"domain": "dsp.stackexchange",
"id": 9503,
"lm_label": null,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "wavelet, stft",
"url": null
} |
signal-analysis, noise, demodulation, snr
Can someone please elaborate on this? I am lost in the assumptions and what I can use or not. The formula with SNR seems to be a nice estimation of the performance. But calculating the SNR value without additional processing seems to be impractical. The alternative definition ... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "signal-analysis, noise, demodulation, snr",
"url": null
} |
machine-learning, deep-learning, keras, tensorflow, predict
Title: Issue with predict generator keras I'm new with keras with tensorflow backend and I'm trying to do transfer learning with pretrained net.
The problem is that the accuracy on validation set is very high, around the 90% , but on test set the accuracy is ... | {
"domain": "datascience.stackexchange",
"id": 11193,
"lm_label": null,
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"openwebmath_score": null,
"tags": "machine-learning, deep-learning, keras, tensorflow, predict",
"url": null
} |
python
def callback():
print('callback')
l = ['a', 'b', 'c']
custom_list = CustomList(l, setitem_callback=callback)
custom_list[1] = 'd' # prints 'callback'
It works as expected, but I am concerned about having to do del kwargs['setitem_callback'] in order for the superclass' __init__ to work. Is it a bad pra... | {
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"id": 37052,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python",
"url": null
} |
solid-state-physics, symmetry, electronic-band-theory, phonons, raman-spectroscopy
When there is an optical transition assisted by a phonon, there are changes in both energy (separation between two minima at the $K$ and $\Lambda$ points in the electron band structure diagram along $y$ axis) and momentum (separation be... | {
"domain": "physics.stackexchange",
"id": 31225,
"lm_label": null,
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"openwebmath_score": null,
"tags": "solid-state-physics, symmetry, electronic-band-theory, phonons, raman-spectroscopy... |
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