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## Examples
One can check the formula with the original question as follows:
Clear[F];
abStep[F, h][{{t}, y, F2, F1, F0}]
(* {{h + t}, ((5 F0)/12 - (4 F1)/3 + (23 F2)/12) h + y, F[h + t, ((5 F0)/12 - (4 F1)/3 + (23 F2)/12) h + y], F2, F1} *)
Here is the original numerical example, with 2-step and 3-step solutions... | {
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"openwebmath_score": 0.28326332569122314,
"tags": nu... |
CAROLI, Manuel, et al. Introduction to Algorithms: Thomas H. You can find top downloaded Java project source codes. Now given a set of points the task is to find the convex hull of points. Tutorials AutoCAD 3ds Max Another approach that comes to my mind is to project points to 0 elevation and use Convex Hull algorithm ... | {
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"lm_q1_score": 0.9879462222582661,
"lm_q1q2_score": 0.8054058559000264,
"lm_q2_score": 0.8152324871074607,
"openwebmath_perplexity": 702.2431703921578,
"openwebmath_score": 0.4055248498916626,
"tags": null,
... |
quantum-mechanics, special-relativity, wavefunction, faster-than-light
I have never actually understood why does it solve the problem, because the position of center doesn't change the fact that signal in some cases may arrive FTL. This is where my question comes from.
EDIT:
Sorry, the question was not about what some... | {
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"tags": "quantum-mechanics, special-relativity, wavefunction, faster-than-light",
"url": ... |
fft, matlab, signal-analysis, octave
try this function with different parameters.
Here npts is size of data vector; len - time length of data (in seconds); basefreq - base frequency for sine function.
First we fit a time axe (x), after that we calculate sinusoid with given frequency, get modulus of its FFT, trim it to... | {
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"tags": "fft, matlab, signal-analysis, octave",
"url": null
} |
machine-learning, neural-network, classification, convolutional-neural-network
Title: Improve performances of a convolutional neural network I am doing image classificaition, and to do this I have built the following neural network:
def Network(input_shape, num_classes, regl2 = 0.0001, lr=0.0001):
model = Sequential(... | {
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c#, .net, mysql, database, wpf
private DataTable getDataTable()
{
int ResultCount = 0;
DataTable Dt = new DataTable();
if (!ReportProgrammerError(_getTableStoredProcedureName, "_getTableStoredProcedureName is not set!"))
{
try
{
... | {
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"tags": "c#, .net, mysql, database, wpf",
"url": null
} |
metalwork
Title: Making hole in 1/8" Lead sheet with minimal dust/debris I want to cut some 6" diameter holes in 1/8" thick lead sheet that is 12"x12" up to 12" x 24" but would like to minimize dust and debris.
I was thinking that the best approach to minimizing dust and debris would be to use aviation shears to cut o... | {
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"tags": "metalwork",
"url": null
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Suppose that $\ltdefn{T}{U}{V}$ is a linear transformation. Then $T$ is surjective if and only if the range of $T$ equals the codomain, $\rng{T}=V$.
#### SubsectionSSSLTSpanning Sets and Surjective Linear Transformations
Just as injective linear transformations are allied with linear independence (Theorem ILTLI, Theo... | {
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"openwebmath_score": 0.9379552602767944,
"tags": null,... |
standard-model, quarks, mesons, confinement, baryons
Penta-quarks however can and must contain quarks and anti-quarks as mentioned in a previous answer. | {
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"tags": "standard-model, quarks, mesons, confinement, baryons",
"url": null
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pdf. A derivative allows us to say that even while the object’s velocity is constantly changing, it has a certain velocity at a given instant. 7 Limits at Infinity 63. Concavity and Points of Inflection. Formal Definition of a Limit - Khan Academy (watch all successive videos) Finding Limits, Multiple Techniques - Math... | {
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"lm_q1_score": 0.9814534311480466,
"lm_q1q2_score": 0.8282437458578029,
"lm_q2_score": 0.8438951045175643,
"openwebmath_perplexity": 822.6688501689522,
"openwebmath_score": 0.7664351463317871,
"tags": ... |
$0=-5t^2 + 20t + 2$.
Now, solve that by the quadratic equation to figure out what t equals when h is zero.
Similarly, you can find out the two times the ball was at a height of 17m by plugging in 17m for h:
$17=-5t^2 + 20t + 2$.
Move the 17 to the other side, then solve by factoring / quadratic equation. You'll get... | {
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"lm_q1_score": 0.9790357585701874,
"lm_q1q2_score": 0.8027048962270483,
"lm_q2_score": 0.8198933381139645,
"openwebmath_perplexity": 367.83230528971467,
"openwebmath_score": 0.829116702079773,
"tag... |
c++, algorithm, array
Title: Activity Selection to maximize the number of activity executions I solved this problem from a challenge.The problem is as below:-
Problem Statement:
Given N activities with their start and finish times. Select the maximum number of activities that can be performed by a single person, assum... | {
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"tags": "c++, algorithm, array",
"url": null
} |
electrostatics, electric-fields, polarization, integration, vector-fields
Title: Integrating by parts I am having little trouble with my professor's note.
$$F=-\int{(dr)}{(\vec{\nabla} \cdot \vec{P}) \vec{E} }=\int{(dr)}{(\vec{P} \cdot \vec{\nabla} ) \vec{E} }$$
where F is force, P is polarization, and E is Electric f... | {
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"tags": "electrostatics, electric-fields, polarization, integration, vector-fields",
"url... |
electromagnetism, electromagnetic-radiation
Which is not $k_T$. And that can be shown easily, consider a vector,
$$\mathbf{a}=a\hat{\mathbf{x}}+\sqrt{1-a^2}\hat{\mathbf{y}} $$
Taking the norm gives us,
$$\|\mathbf{a}\|=1$$
This is incorrect if $a$ is larger than 1, but this is exactly what we are doing when we are con... | {
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"tags": "electromagnetism, electromagnetic-radiation",
"url": null
} |
ros, 3dcamera, camera, astra
Title: Orbbec Astra on ROS issues
Recently purchased a Deep Learning Robot. https://www.autonomous.ai/deep-learning-robot Mine came with the Orbbec Astra instead of the Asus Live Pro. I'm trying to get it up and running but having issues. In RViz, I can see RGB fine, but, the depth sen... | {
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"tags": "ros, 3dcamera, camera, astra",
"url": null
} |
electrostatics, electric-fields
Title: I have a question about an integral in Purcell's book on page 31 ok, the original text is \
But Gauss's Law tell us that dE, the change in E through the thin slab, is just $\rho/ \epsilon_0 dx $, Hence $\quad\rho dx $ in Eq.33 can be replaced by $\quad\epsilon_0 dE\quad$ and th... | {
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"tags": "electrostatics, electric-fields",
"url": null
} |
Area of a parallelogram The area of the parallelogram P is jad bcj= det a c b d Suppose. The formula is given below: Perimeter of a Parallelogram. Direction cosines of a vector, Online calculator. 3 centimeters. A Level > Arithmetic sequences A Level > Binomial expansion A Level > Differentiation A Level > Factor and r... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9852713844203499,
"lm_q1q2_score": 0.810079425031103,
"lm_q2_score": 0.8221891327004133,
"openwebmath_perplexity": 359.9710085073352,
"openwebmath_score": 0.7525807619094849,
"t... |
algorithm, kotlin, heap
Title: Dynamic Priority Heap - Kotlin open class Heap<T>: Iterable<Heap.Data<T>> {
data class Data<T>(val item: T, var priority: Int) {
operator fun compareTo(other:Data<T>): Int {
return priority - other.priority
}
}
protected var positions = mutableMa... | {
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"tags": "algorithm, kotlin, heap",
"url": null
} |
# Writing a series using Sigma notation
How do I write $$2+ \frac{3x}{2} + \frac{4x^2}{4}+\frac{5x^3}{8}+\frac{6x^4}{16}?$$
I have been struggling with these types of problems, so please, an explanation of how to get the result will be appreciated.
-
$$2+ \frac{3x}{2} + \frac{4x^2}{4}+\frac{5x^3}{8}+\frac{6x^4}{16}... | {
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"lm_q1q2_score": 0.851878389724968,
"lm_q2_score": 0.8652240860523328,
"openwebmath_perplexity": 473.7786485387081,
"openwebmath_score": 0.902320384979248,
"tags"... |
space-telescope
Why aren't ground-based observatories using adaptive optics for visible wavelengths?
Will the E-ELT use Adaptive Optics at visible wavelengths?
What (if any) capabilities of Hubble are unique and irreplaceable? What can it do that can't be done by any other ground or space-based telescope?
Do point spr... | {
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"tags": "space-telescope",
"url": null
} |
c++, c++11, reinventing-the-wheel, memory-management
I am worried that due to my presumed lack of knowledge there might be some memory leaks, massive future bugs and etc.
Any suggestions, recommendations and pointed out issues are welcomed. I'm sorry to be so straightforward: This is madness! Your code seems to indica... | {
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"tags": "c++, c++11, reinventing-the-wheel, memory-management",
"url": null
} |
climate-change
Title: Climate change impact / risk assessment I work for a local council in the UK. We want to include climate change as a mandatory consideration in all of our decision making. This would require project managers to look at the risk (what adaptation measures we need to consider) and impact (how the pr... | {
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"id": 2169,
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"tags": "climate-change",
"url": null
} |
newtonian-mechanics
$$\frac {1}{2}m_{trolley}\Delta v_{trolley}^2+\frac {1}{2}m_{sand}\Delta v_{sand}^2=\frac {gh}{2}m_{sand}$$
$$m_{sand}\Delta v_{sand} + m_{trolley}\Delta v_{trolley}=0$$
In this way you find both the $\Delta v_s$. The speed of the trolley in the frame in which you initially see the trolley+sand ba... | {
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"tags": "newtonian-mechanics",
"url": null
} |
python, strings, programming-challenge, python-2.x, ascii-art
| | / \ | || | |_ _ \ | || | .' ___ | | || | |_ ___ `. | || | |_ ___ | | || | |_ ___ | | || | .' ___ | | || | |_ || _| | || | |_ _| | || | |_ _| | || | |_ ||_ _| | || | |_ _| | || ||_ \ / _|... | {
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"tags": "python, strings, programming-challenge, python-2.x, ascii-art",
"url": null
} |
mechanical-engineering, automotive-engineering
This explains why the upper corners meet in a mutual point, creating a V shape.
The fact that the upper left corner is higher likely indicates that your turns in one direction(probably right turns) are made faster than the other direction. Probably caused by the fact that... | {
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"tags": "mechanical-engineering, automotive-engineering",
"url": null
} |
quantum-mechanics, thermodynamics, statistical-mechanics, condensed-matter
If the question is how to actually calculate the temperature of a given pure state (at least in principle), then one way is to take a partial trace over half of the system. If the system is large enough so that the energy of interaction between... | {
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"tags": "quantum-mechanics, thermodynamics, statistical-mechanics, condensed-matter",
"ur... |
c++, mathematics, c++17, boost
// f : order -> derivative(order)/factorial(order)
// Use this when the computation of the derivatives already includes the factorial terms. E.g. See atan().
template<typename RealType,size_t Order>
dimension<RealType,Order>
dimension<RealType,Order>::apply_with_factorials(const std:... | {
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"tags": "c++, mathematics, c++17, boost",
"url": null
} |
data-mining, svm, state-of-the-art
SVMs generally belong to the class of "Sparse Kernel Machines". The sparse vectors in the case of SVM are the support vectors which are chosen from the maximum margin criterion. Other sparse vector machines such as the Relevance Vector Machine (RVM) perform better than SVM. The follo... | {
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"tags": "data-mining, svm, state-of-the-art",
"url": null
} |
forces, classical-mechanics, friction
Title: Distribution of static friction forces between two opposite surfaces Please, could you help me with this question. It seems very easy but I struggle to find info on the web, and the chatGPT gives an apparently wrong answer. | {
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python, python-3.x, physics
Also on Github: https://gist.github.com/godot11/998e71fca8f8f4fce1a1 This is pretty good work for a self-taught programmer. I'd like to make a few suggestions to improve readability.
First, I would define a 2D vector class. That would allow you to simplify expressions where you are doing... | {
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particle-physics, antimatter, interactions, virtual-particles, carrier-particles
are there anti virtual bosons?
do these mediate the anti forces?
are there anti virtual bosons?
As you know, a virtual particle is a mathematical construct and is connected with the real particle of its name by the quantum numbers iden... | {
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"tags": "particle-physics, antimatter, interactions, virtual-particles, carrier-particles",... |
ros, compile, ros-groovy, make
Title: Invoking make suddenly fails everywhere!
Hi all,
after nearly 3 years of using the same (groovy) workspace on Ubuntu 12.04, yesterday as I was making a pkg (which was compiling fine), it started to give me weird errors in make. Even when the code is:
#include <ros/ros.h>
int main... | {
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"tags": "ros, compile, ros-groovy, make",
"url": null
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c#, comparative-review, finance
2
public class TaxedPrice
{
public TaxedPrice(decimal netAmount, decimal grossAmount, decimal taxRate)
{
if (grossAmount != default)
{
GrossAmount = decimal.Round(grossAmount, 2, MidpointRounding.AwayFromZero);
NetAmount = decimal.Round(gr... | {
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"tags": "c#, comparative-review, finance",
"url": null
} |
ros, ros2, array, rqt
The interesting bit here is what seems to be the root cause of the problem:
Python eval failed for expression "array('d', [0.1, 0.1])" with an exception "name 'array' is not defined"
If this isn't the correct way to do it, what am I supposed to do? I also tried, all in vain, these options:
[0.1,... | {
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"tags": "ros, ros2, array, rqt",
"url": null
} |
algorithms, graphs, time-complexity, shortest-path, breadth-first-search
For a given user s, Alyssa wants to have a way to rank potential friend suggestions according to
the strength of the connections s has with them. In addition, the vagueness of those connections
should not be more than k, a value Alyssa will decid... | {
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"tags": "algorithms, graphs, time-complexity, shortest-path, breadth-first-search",
"url": nul... |
heisenberg-uncertainty-principle
The way to avoid this is, of course, having a wavepacket just small enough that it will fit comfortably inside the well. However, having a limited spatial extent means having a finite wavelength, and therefore (by de Broglie's relation) a nonzero momentum and kinetic energy.
You note r... | {
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"openwebmath_score": null,
"tags": "heisenberg-uncertainty-principle",
"url": null
} |
ocean, ocean-currents, antarctic
Coastal upwelling: It is the best known form of upwelling. Winds in these systems flow parallel to the coast (with the coast to the left in the northern hemisphere or to the right in the southern hemisphere) and generate upwelling dynamics. Surface Ekman balance is setup (in deep enoug... | {
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"tags": "ocean, ocean-currents, antarctic",
"url": null
} |
die AND a 4 on the second die is 1/36. Roll two dice. There are 4 combinations that have the sum of 9. Find the probability of getting a sum of 6 when rolling a pair of dice. Find the probability distribution for the ‘sum of two dice’. from Rosemount. When two dice are rolled, we get 36 possible outcome like (1,1),(1,2... | {
"domain": "salesianipinerolo.it",
"id": null,
"lm_label": "1. Yes\n2. Yes",
"lm_name": "Qwen/Qwen-72B",
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"lm_q1q2_score": 0.846807163041299,
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"ta... |
ros, stack, ros-hydro, setup.bash
Originally posted by Filip Jareš on ROS Answers with karma: 3 on 2014-01-06
Post score: 0
Since users are still able to build dry packages and stacks the stacks folder under /opt/ros/hydro has not been removed. A user could still "install" dry stacks there manually.
The actual error ... | {
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} |
standard-model, atoms, computational-physics, quantum-computer
Let's take the iron atom. It has 26 electrons. That means in real space your wavefunction is a function of 26 3d coordinates, $\Psi = \Psi(\vec{x}_1, \dots, \vec{x}_{26})$.
Assume we are happy with an extremely crude real space grid. Say, 10 points in eac... | {
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"tags": "standard-model, atoms, computational-physics, quantum-computer",
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thermodynamics, energy-conservation, entropy, chemical-potential, efficient-energy-use
This was pointed out by the link in Bob D's answer, in which this maximum temperature is called the combustion temperature.
To find the maximum efficiency, we set $\Delta G = 0$ and find its corresponding $T_H = T_{max}$. I will use... | {
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"tags": "thermodynamics, energy-conservation, entropy, chemical-potential, efficient-energy... |
homework-and-exercises, newtonian-mechanics, friction, rotational-kinematics
Your intuition (as many people's intuition would be as well) about a continuous decrease in the difference of arrival times with the continuous decrease of $\mu$ lead you astray. If the frictional force behaved in some other way (obeyed some... | {
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"... |
biochemistry, mitochondria, phosphorylation, energy-metabolism
Title: How many protons are pumped out per pair of electrons from NADH in oxidative phosphorylation? I have searched the web and found that 10 protons are suppose to get pumped out during the electron cycle, but i'm a bit confused.
I'm trying to count, for... | {
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"tags": "biochemistry, mitochondria, phosphorylation, energy-metabolism",
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} |
ros, rosrun, catkin-make-isolated
Originally posted by Dirk Thomas with karma: 16276 on 2016-04-25
This answer was ACCEPTED on the original site
Post score: 0
Original comments
Comment by Tardoe on 2016-04-25:
Ah that seems to have fixed it. I added the find_library() call to locate my libeyebot.a library file but si... | {
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python, classes, selenium
# //*[@id="Form1"]/table/tbody/tr[2]/td/table/tbody/tr[2]/td[1]/table/tbody/tr/td/a[2]
# //*[@id="Form1"]/table/tbody/tr[2]/td/table/tbody/tr[3]/td[1]/table/tbody/tr/td/a[2]
element.py
# -*- coding: utf-8 -*-
from selenium.webdriver.support.ui import WebDriverWait
class BasePageElement:... | {
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"tags": "python, classes, selenium",
"url": null
} |
c#, parsing, language-design
Reporter.Report(ErrorType.Error, "The member is not valid",
currentLineNumber, currentPosition);
}
if (statement != null)
{
statements.Add(statement);
}
... | {
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atoms, elements, protons
Furthermore, the much larger mass of the muon means it spends its time much closer to the nucleus than an electron of similar energy. The electron is so much further out, in fact, that it "sees" the nucleus and the muon as occupying almost the same position, and so the negative charge of the m... | {
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"tags": "atoms, elements, protons",
"url": null
} |
zoology, taxonomy, nomenclature, sociality, definitions
Title: Polymorphism in cnidarians? To me, the phenomenon of polymorphism in cnidarians is particularly troubling. I gather that it essentially refers to existence of various different forms or kinds of individuals, i.e. zooids and polyps in one species. But when... | {
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"tags": "zoology, taxonomy, nomenclature, sociality, definitions",
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We do care very much about the special case
λ=1 (as with Π_2);
that's a
Steiner system (a.k.a. S(t,k,v)).
[further examples: the S(2,3,81) of the game "Set";
after Prop. 1.4 and its Corollaries: the S(3,4,8) obtained
by adding a point to Π_2 etc. -- more on this later in the term]
Aim: describe all designs, up to ... | {
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"tags": n... |
design, bicycles
Most bikes will have their steering limited by the range of movement of brake/gear cables (or brake hoses), or by the handlebars coming into contact with the toptube, or something like that (in my case, often bars vs. luggage, perhaps mounted where a motorbike's fuel tank would be). There are typical... | {
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### det() = product of row with cofactors
In symbols: $$\det(A) = a_{1,1} * A_{1,1} + a_{1,2} * A_{1,2} + a_{1,3} * A_{1,3}$$
rowCofactors() is a convenience function, that calculates these all together
rowCofactors(A, 1)
## [1] 18 -8 -6
Voila: Multiply row 1 times the cofactors of its elements. NB: In R, this mu... | {
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"tags": ... |
asp.net, vb.net
.AddWithValue("@Created_Date", Now)
.AddWithValue("@Created_By", patient.CreateOrEditBy)
.AddWithValue("@Edit_Date", Now)
.AddWithValue("@Edit_By", patient.CreateOrEditBy)
.AddWithValue("@FirstSeen", Now)
End With | {
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So far we have:
Proposition: an automorphism of S_n takes the conjugacy class of
simple transpositions to itself if and only if it is inner.
Proof: given the automorphism f, it is enough to find an inner automorphism
that agrees with f on the simple transpositions. If n is not 4, use the
image in S_n of the automorp... | {
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"tags": n... |
css, sass
$gutter-width-px: 15px !default;
$gutter-width-procent: percentage($gutter-width-px / $row-max-width);
The code works perfectly, but in my opinion it looks very messy. Warning: I am far from an expert with Sass!
I'll list a few things I think could use some re-factoring.
We can DRY out your code. In the ma... | {
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javascript, regex
Title: Encapsulate results in div tags I would like to turn the following:
<div>this is a $test</div>
into
<div>this is a <div>$test</div></div>
currently I have
var regexp = new RegExp('$([^\\s]*)','g'),
html = '<div>this is a $test</div>',
matched = html.match(regexp)[0]
if (matched){
... | {
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python, beginner, pdf
pdf_paths = Path(path).rglob('*.pdf')
not_encrypted_pdfs = filterfalse(is_encrypted, pdf_paths)
for pdf in not_encrypted_pdfs:
write_copy(pdf, password, mode='encrypt')
pdf.unlink()
click.echo(f'Encrypted successfully: {pdf}')
if __name__ == '__main__':
cli()... | {
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c++, game
outfile << "Player:" << endl;
outfile << "1 1" << endl;
outfile << "10 10" << endl;
outfile << "10 10" << endl;
outfile << "null" << endl;
outfile.close();
}
Character Class:
#ifndef CHARACTERS_H
#define CHARACTERS_H
#include <string>
#include <vector>
using namespace std;
class Char... | {
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haskell, hangman, state
numberOfWrongGuesses :: GameState -> Int
numberOfWrongGuesses (GameState word' guesses') =
length $ filter charNotInWord guesses'
where charNotInWord c = c `notElem` word'
gameStatus :: GameState -> GameStatus
gameStatus (GameState word' guesses')
| isGuessed = GameWon
| is... | {
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• By the way I noticed that you left the denominator as log(4), shouldn't it be 2log(2) by power rule, since it is more simplified. Or does it not matter? – harold232 Sep 20 at 7:00
• @harold232 As you say, $\log(4)=2\log(2)$. So it does not really matter – Henry Sep 20 at 7:09
• If you want to input the logarithm into... | {
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sql, vba, ms-access
Debug.Print "curr doc tbl record count = " & lngCurrDocTblRecordCount
lngID1 = 0 '1st record ID
Do While lngID1 < (lngCurrDocTblRecordCount) ' loop through records (first)
RS_CurrDocTbl.MoveFirst
RS_CurrDocTbl.Move (lngID1) 'move to 1st rec currently being worked on - Sus... | {
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# Solving the Inequality $\frac{14x}{x+1}<\frac{9x-30}{x-4}$
The question says to find all the integral values of x for which the inequality holds. the question is
$$\frac{14x}{x+1}<\frac{9x-30}{x-4}$$
My Solution
\begin{align} & \frac{14x}{x+1} < \frac{9x-30}{x-4} \\[6pt] & \frac{14x(x-4)-(9x-30)(x+1)}{(x+1)(x-4)}... | {
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"lm_q2_score": 0.8519528000888387,
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"openwebmath_score": 0.921026885509491,
"tag... |
c++, ros-melodic, include, nodes, header
So, I added some example code below.. It still doesn't work, even if the method is not inlined.
You have a function my_test_func() declared in node_1.h and implemented in node_1.cpp.
When you try to use it in node_2.cpp, the linker is missing it's implementation, as only decla... | {
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ruby, array
Is there a better way?
The main question here is how best to make sure each array element is a separate string instance. I might do this:
grid = 9.times.map { "... " * 3 }
Or, better yet, as Naklion proposes in the comments:
grid = Array.new(9) { "... " * 3 }
to get the rows (as separate string instances... | {
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c, homework, cryptography
What is #define _XOPEN_SOURCE for? Sometimes, defining it will change some of the functions you call. However, it would only have any effect if you put it before your #includes.
It would be good to make a function, even for a simple program like this. I suggest that main() be responsible f... | {
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python, performance, programming-challenge, primes, comparative-review
The count part can use enumerate:
count = 1
for i, mark in enumerate(marked, 1):
if not mark:
count += 1
if count == n:
print(2*i + 1)
break
I suggest inverting the True/False in the array to make this simpler,
and... | {
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"tags": "python, performance, programming-challenge, primes, comparative-review",
"url... |
centripetal-force
Title: Tension of a curled chain, connected with understanding the chain fountain I'd like to understand the physics of a chain fountain (https://www.youtube.com/watch?v=_dQJBBklpQQ) and in order to do so, I am reading this paper credited for solving the mystery:
http://rspa.royalsocietypublishing.or... | {
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python-3.x, excel, xml
else:
# if request is relevant call function to grab all needed data.
relevant += 1
logging.debug("Relevant entry found: {}".format(relevant))
currentRequest = process_request(request)
allVacations.append(currentRequest)
logging.inf... | {
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robotic-arm, inverse-kinematics, industrial-robot
Now, it can be seen that the 6th singular value of $\Sigma$ is zero. Therefore, the corresponding (6th) row of $U$ is $$\left[\begin{matrix}0.0 & 0.0 & 0.0 & -0.24 & -0.97 & 0.07\end{matrix}\right]$$, which shows the direction of singularity. It means the end effector ... | {
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theorem does not allow you to make any conclusions just from the fact that a function has discontinuous partial derivatives. A function which jumps is not differentiable at the jump nor is one which has a cusp, like |x| has at x = 0. say what it does right near 0 but it sure doesn't look like a straight line. (ii) The ... | {
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"tags":... |
electrochemistry
$$E_\text{cell}=E_\text{cathode}^\circ-E_\text{anode}^\circ=-0.25\ \mathrm V--0.28\ \mathrm V=0.03\ \mathrm V$$
So the question is essentially asking what concentrations are needed for your cell to have the standard potential. Again looking at the Nernst equation, you can solve for the reaction quotie... | {
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2) Is a boundary point a limit point? The definition says that a boundary point x which belongs to S is a point if, for all epsilon > 0, the neighborhood of x contains both S and the complement of S. Doesn't this make x a limit point also? Since you can approach x from elements in the set S.
Your #1 is correct. If $\ma... | {
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"lm_q1q2_score": 0.8226602028599823,
"lm_q2_score": 0.8397339716830606,
"openwebmath_perplexity": 174.84815284110041,
"openwebmath_score": 0.8484682440757751,
... |
python, python-3.x, multithreading, beautifulsoup, python-requests
What the code basically does is that it takes each URL and compares between previous state from itself and whenever we do see a change between those two states, I would like to print out whenever there is a difference and that's pretty much it
Looking ... | {
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"openwebmath_score": null,
"tags": "python, python-3.x, multithreading, beautifulsoup, python-requests",
"url": n... |
cr.crypto-security, randomness, hash-function
Title: Password checking algorithm Usually to check password validity we used to create over given password it hash value and compare it with stored one. So password protection relies on strength of hashing function.
Could it be used another approach?
Let's say we have e... | {
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"tags": "cr.crypto-security, randomness, hash-function",
"url": null
} |
c++, beginner, algorithm, programming-challenge, c++17
Use range-for and structured bindings where appropriate
You can replace the for-loop in findDuplicateSubtrees() using range-for and structured bindings:
for (auto &[serialization, nodes]: nodes_map) {
if (nodes.size() > 1) {
duplicates.push_back(nodes[... | {
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} |
Now if $B$ is a $n\times n$ matrix commuting with $A$, it commutes with $\text{Log}\ A$, as it can be seen from $(\ast)$ and thus with the $A^{1/2}$ defined above.
-
Right, this is the holomorphic functional calculus argument I was referring to. – domenico fiorenza Apr 1 '14 at 16:04
Yes, but just a remark here: this... | {
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thermodynamics, statistical-mechanics, resource-recommendations, bose-einstein-condensate
It will converge, provided $D \gt 2$. Here $T_C$ is the condensate temperature.
At $T=T_C$, $\bar\mu=0$ is reached and at $T \lt T_C$, $\bar\mu$ cannot change. So the number of particles coming from the integral will be smaller t... | {
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"tags": "thermodynamics, statistical-mechanics, resource-recommendations, bose-einstein-con... |
string-theory, research-level, compactification
General compactifications of string/M-theory allow many features that can't be discussed by the simple formulae above; in some sense, all of string/M-theory is needed to answer the question what the general compactification can be and cannot be. General compactifications... | {
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"tags": "string-theory, research-level, compactification",
"url": null
} |
beginner, strings, ruby, ruby-on-rails
But Ruby also offers a way to easily put any value into a string, without adding a bunch of strings together. It really allows you to put any Ruby code in a string, and whatever it returns, will be put into your string. That looks like this: "math: #{1 + 1}" which would be "math:... | {
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"tags": "beginner, strings, ruby, ruby-on-rails",
"url": null
} |
volcanology, geochemistry
Title: What is the mechanism behind changes in oxidation state (of iron, for example) as magma rises? From this answer, I learned that rising magma may change oxidation state, which I wasn't aware of.
In [#1], the authors state in the abstract
The conventional view holds that the oxidation ... | {
"domain": "earthscience.stackexchange",
"id": 309,
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"tags": "volcanology, geochemistry",
"url": null
} |
slam, navigation, slam-gmapping, gmapping, move-base
Edit:
rxconsole output for the warning:
Node: /move_base
Time: 1350389366.400216263
Severity: Warn
Location: /tmp/buildd/ros-electric-navigation-1.6.5/debian/ros-electric-navigation/opt/ros/electric/stacks/navigation/costmap_2d/src/costmap_2d.cpp:Costmap2D::raytrace... | {
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"openwebmath_score": null,
"tags": "slam, navigation, slam-gmapping, gmapping, move-base",
"url": null
} |
special-relativity, particle-physics, collision
Title: Special relativity and particle creation Does special relativity predict the possibility of particle creation? Is it due to the relativistic energy-momentum dispersion $$E^{2}=m^{2}c^{4}+p^{2}c^{2}$$ which shows that mass is simply a form of energy, and as such ot... | {
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"tags": "special-relativity, particle-physics, collision",
"url": null
} |
parallelogram that you not. Congruent consecutive sides and its diagonals opposite angles are congruent ( equal in length divide it into two congruent.. Many somas can be a rectangle the same formula is that the parallelogram has angles. Governing the diagonals of a parallelogram are diagonals congruent in a parallelog... | {
"domain": "nazwa.pl",
"id": null,
"lm_label": "1. Yes\n2. Yes",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9873750507184357,
"lm_q1q2_score": 0.8760036763019423,
"lm_q2_score": 0.8872045892435128,
"openwebmath_perplexity": 598.4436432159306,
"openwebmath_score": 0.5310351252555847,
"tags": null,... |
pcl, ros-electric
Title: Installing perception_pcl_unstable in ROS Electric on Ubuntu 11.10
Hi everybody,
I need to install this stack for a university project: https://github.com/tum-vision/dvo/tree/electric#installation, and it is required to install perception_pcl_unstable. I googled it and found this link: http:/... | {
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"tags": "pcl, ros-electric",
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special-relativity, symmetry, field-theory, group-theory, representation-theory
In your case, the action has a Lorentz symmetry under which $\phi$ and $\psi$ transform as scalars in the usual way. In general, if you're able to construct a Lorentz invariant action, then you'd expect the individual pieces of the action ... | {
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"tags": "special-relativity, symmetry, field-theory, group-theory, representation-theory",
... |
ros-melodic, rosbag
/device_0/sensor_0/option/Laser Power/value 1 msg : std_msgs/Float32
/device_0/sensor_0/option/Output Trigger Enabled/description 1 msg : std_msgs/String
/device_0/sensor_0/option/Output Trigger Enabled/valu... | {
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"id": 33744,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros-melodic, rosbag",
"url": null
} |
general-relativity, black-holes, differential-geometry, metric-tensor, event-horizon
3) Why does nothing exceptional happen here?
For a typical star with mass $m$, the star's radius is much greater than the Schwarzschild radius $2m$. (For a neutron star, change "much greater" to "a little bit greater".) Nothing speci... | {
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"tags": "general-relativity, black-holes, differential-geometry, metric-tensor, event-horiz... |
c#, algorithm, recursion, trie
// This implementation uses an array as a dictionary.
private static string SplitWordWithArray(string word, string[] dictList) {
word = word.ToLower();
// If the complete input string is already a word, just return it without splitting it.
if (dictList.Contain... | {
"domain": "codereview.stackexchange",
"id": 23695,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c#, algorithm, recursion, trie",
"url": null
} |
fluid-dynamics, flow, aerodynamics, bernoulli-equation
Intuitively, I'm guessing that there is more volumetric flow over the top side since the velocity of the fluid is higher, but I'm not sure, because maybe the thickness of the fluid layer is less. Consider a subsonic, symmetrical airfoil at zero angle of attack. Ma... | {
"domain": "physics.stackexchange",
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"tags": "fluid-dynamics, flow, aerodynamics, bernoulli-equation",
"url": null
} |
01 Aug 2013, 09:46
9
1
3
FTGNGU wrote:
Bunuel wrote:
dkverma wrote:
From May 1 to May 30 in the same year, the balance in a checking account increased. What was the balance in the checking account on May 30? | {
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"openwebmath_score": 0.32867807149887085,
"ta... |
= Total - no red - no blue without a black dot
$\displaystyle\binom{n-b'}{k} - \binom{n-b'-r}{k} - \binom{n-b}{k}$
6. Wrong
Sample space: $n$
To get atleast 1 red and 1 blue with a black dot
= Total - no red - no blue with a black dot
$\displaystyle\binom{n}{k} - \binom{n-r}{k} - \binom{n-b'}{k}$
Lets check the ... | {
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"lm_q1_score": 0.9706877717925421,
"lm_q1q2_score": 0.8067803951964441,
"lm_q2_score": 0.8311430499496096,
"openwebmath_perplexity": 443.42858059722545,
"openwebmath_score": 0.8160041570663452,
"ta... |
solid-state-physics, semiconductor-physics, conductors, insulators
Title: Semiconductors, Solid-State Physics We know, that conductors, conduct because their valence energy band is "half" full, and k ("wave vector") can increase and therefore the electrons under the influence of a electric field can "move", and simila... | {
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"tags": "solid-state-physics, semiconductor-physics, conductors, insulators",
"url": null... |
machine-learning, papers, generative-adversarial-networks, generative-model, notation
Title: What are the steps to derive the original GAN loss function from the generalized version? I am trying to understand how the loss function from the original GAN paper
$$\min_{G} \max_{D} V(D, G)=\mathbb{E}_{\boldsymbol{x} \sim ... | {
"domain": "ai.stackexchange",
"id": 3301,
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"openwebmath_score": null,
"tags": "machine-learning, papers, generative-adversarial-networks, generative-model, notation",
... |
• This is certainly technically correct but based on the way the question was framed may be too technical for the OP (but may be useful to later readers ...) Feb 13 at 18:00 | {
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"lm_q1q2_score": 0.8172543206491379,
"lm_q2_score": 0.8479677602988602,
"openwebmath_perplexity": 992.933348967242,
"openwebmath_score": 0.8425297141075134,
"tags... |
Challenges, 2nd edition, Razvan Gelca and Titu Andreescu, Birkhäuser, 2009. , The IMO Compendium (complete collection of IMO shortlist problems). Textbook: The following books will be used. Please use this display as a guideline and modify as needed. Mathematical Olympiad Challenges is a book by Titu Andreescu,Razvan G... | {
"domain": "emporiumgalorium.de",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9799765575409524,
"lm_q1q2_score": 0.8405926311334897,
"lm_q2_score": 0.8577681013541613,
"openwebmath_perplexity": 2792.8077863877106,
"openwebmath_score": 0.18209436535835266,
... |
php, mysql, security
[*] == should be ok for password_verify, as it is very unlikely that the function will be changed to return anything else than true or false in the future. On the other hand, it is PHP, so who knows. And "1", 1, -1, ["error"], "error" are all true. | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
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"tags": "php, mysql, security",
"url": null
} |
php, object-oriented, php5, i18n
Title: Multi-language website management I have just started to use PHP OOP and I would like to write a class to make a multi-language website. I started from this but I wanted to use OOP so I came up with this:
Language.php
<?php
class Language {
private $UserLng;
private $l... | {
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"openwebmath_score": null,
"tags": "php, object-oriented, php5, i18n",
"url": null
} |
statistical-mechanics, ising-model
Title: What is the probability distribution for a subsystem in canonical ensemble? Suppose we have a 3d Ising Model(NN interaction) in simple cubic lattice, if we define a subsystem of it to be a 2d plane of spins(for example all sites with z = L/2, L being the linear system size) an... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "statistical-mechanics, ising-model",
"url": null
} |
octomap, octomap-server, pointcloud
Title: octomap_server performance issues?
Hi,
I'm currently running octomap_server from the latest svn (checked out on 10/01/13) under ROS-Fuerte.
EDIT1: I'm working with complex 3d laser scan data which is moving at a reasonable speed (1m/s, perhaps more). The sensor data is of a ... | {
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"openwebmath_score": null,
"tags": "octomap, octomap-server, pointcloud",
"url": null
} |
beginner, game, tic-tac-toe, rust
use itertools::Itertools;
#[derive(Clone, Copy, Debug, Eq, Hash, PartialEq)]
pub enum Player {
Nought,
Cross,
}
impl Player {
pub fn toggle(self) -> Player {
match self {
Player::Nought => Player::Cross,
Player::Cross => Player::Nought,
... | {
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"tags": "beginner, game, tic-tac-toe, rust",
"url": null
} |
Consider $(a+b+c)^2$
Which is $a^2 + b^2 + c^2 + 2(ab+bc+ca)$
Since $c^2 = a^2 + b^2$ (c being the hypotenuse), $(a+b+c)^2 = 2(c^2 + ab + bc + ca)$ - which is an even number.
and since squares of odd is odd and evens is even $a+b+c$ has to be even. | {
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"lm_q1_score": 0.9873750510899383,
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"lm_q2_score": 0.8740772466456689,
"openwebmath_perplexity": 611.2160215087379,
"openwebmath_score": 0.7367633581161499,
"tag... |
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