text stringlengths 49 10.4k | source dict |
|---|---|
ros, remap
R: [1.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 1.0]
P: [1043.20752, 0.0, 935.81685, 0.0, 0.0, 1110.39636, 727.20482, 0.0, 0.0, 0.0, 1.0, 0.0]
binning_x: 1
binning_y: 1
roi:
x_offset: 300
y_offset: 50
height: 1358
width: 1358
do_rectify: True
--- | {
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"id": 24465,
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"openwebmath_score": null,
"tags": "ros, remap",
"url": null
} |
quantum-mechanics, homework-and-exercises, potential-energy, dipole
\begin{equation}
U_{induced} = U_d + W_{induced} = -\frac{1}{2}\vec{p}_i \cdot \vec{E}
\end{equation} | {
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"tags": "quantum-mechanics, homework-and-exercises, potential-energy, dipole",
"url": nul... |
homework-and-exercises, newtonian-mechanics, rotational-dynamics, friction, rigid-body-dynamics
Title: Understanding the constraint of tension with a rigid body
I want to know why doesn't $T_1 = T_2$? I think its probably because of the Pulley but still aren't the Tensions Equal but opposite in direction. The pulley ... | {
"domain": "physics.stackexchange",
"id": 27404,
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"openwebmath_score": null,
"tags": "homework-and-exercises, newtonian-mechanics, rotational-dynamics, friction, rigid-... |
c#, asp.net, observer-pattern, asp.net-core
This is the output
[{"Key":"area","Value":452.38934211693021,"Valid":true,"Warning":null,"Error":null},{"Key":"radius","Value":12.0,"Valid":true,"Warning":null,"Error":null}]
[{"Key":"area","Value":0.50265482457436694,"Valid":true,"Warning":null,"Error":null},{"Key":"radius... | {
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"tags": "c#, asp.net, observer-pattern, asp.net-core",
"url": null
} |
For $\pi < \theta \le \frac{3 \pi}{2}$ as $\theta_5$ in my diagram, $\cos(\theta)$ is still negative and the resulting point (for example $P_5$) is on the top half of the circle with center $(5, 0)$. When $\theta = \frac{3 \pi}{2}$ then $\cos(\theta) = 0$ and we are back at $P_3$.
Finally for $\frac{3 \pi}{2} < \theta... | {
"domain": "uregina.ca",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9899864293768269,
"lm_q1q2_score": 0.8872767070004375,
"lm_q2_score": 0.8962513835254865,
"openwebmath_perplexity": 162.56082261370122,
"openwebmath_score": 0.8632741570472717,
"tags": nu... |
javascript, natural-language-processing
{romaji: 'ru', hiragana: 'る', katakana: 'ル'},
{romaji: 're', hiragana: 'れ', katakana: 'レ'},
{romaji: 'ro', hiragana: 'ろ', katakana: 'ロ'},
{romaji: 'wa', hiragana: 'わ', katakana: 'ワ'},
{romaji: 'wi', hiragana: 'ゐ', katakana: 'ヰ'},
{romaji: ... | {
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"openwebmath_score": null,
"tags": "javascript, natural-language-processing",
"url": null
} |
electrostatics, charge, potential-energy, self-energy
Title: Is it correct this formula for electrostatic energy? In CGS: I know that:
$$
U_E = \frac12\sum_{i=1}^Nq_i\sum_{j\neq i}\frac{q_j}{|\mathbf{r}_i-\mathbf{r}_j|}.
$$
In the continuous. Is it correct this conclussion?
$$
U_E=\frac12\int \rho(\mathbf{r})\varphi(\... | {
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"openwebmath_score": null,
"tags": "electrostatics, charge, potential-energy, self-energy",
"url": null
} |
ros, cmake
/usr/bin/ld: /usr/lib/debug/usr/lib/x86_64-linux-gnu/crt1.o(.debug_info): relocation 15 has invalid symbol index 12
/usr/bin/ld: /usr/lib/debug/usr/lib/x86_64-linux-gnu/crt1.o(.debug_info): relocation 16 has invalid symbol index 12
/usr/bin/ld: /usr/lib/debug/usr/lib/x86_64-linux-gnu/crt1.o(.debug_info): re... | {
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"tags": "ros, cmake",
"url": null
} |
ros, roslaunch, network-setup, network
Originally posted by Thalaiva on ROS Answers with karma: 15 on 2016-06-08
Post score: 0
Original comments
Comment by dornhege on 2016-06-08:
Did you set the ROS_MASTER_URI to something?
Comment by Thalaiva on 2016-06-08:
No, where do I set that up, and what do I set it to?
Comme... | {
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"tags": "ros, roslaunch, network-setup, network",
"url": null
} |
gazebo
Title: Unable to InsertModelSDF into World from model plugin (Bug or Error??)
I'm working on a ModelPlugin that spawns a new model and adjusts the position of the model based on the other model's position. To do this i create an sdf::SDF from string and spawn it with the function world->InsertModelSDF(modelSDF... | {
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"openwebmath_score": null,
"tags": "gazebo",
"url": null
} |
computational-chemistry, molecular-orbital-theory, machine-learning
Title: Molecular orbital energies prediction with ML algorithms In the recent years, computational chemistry community has focused on Machine Learning algorithms to predict molecular properties. Unfortunately, many of the authors of such papers are no... | {
"domain": "chemistry.stackexchange",
"id": 12559,
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"lm_q1q2_score": null,
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"openwebmath_score": null,
"tags": "computational-chemistry, molecular-orbital-theory, machine-learning",
"url": n... |
Linearly independent eigenvectors of P '' example Define the matrix:! 3... Eigenvalues of the matrix:! = 3 â18 2 â9 are â.=â /=â3 except the principal diagonal is. The main diagonal are all zeros ) eigenvectors of P '' are n '' linearly independent of... Every element except the principal diagonal elements is... | {
"domain": "moshtarakin.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9799765616345253,
"lm_q1q2_score": 0.8783053396826263,
"lm_q2_score": 0.8962513738264114,
"openwebmath_perplexity": 589.5670543626902,
"openwebmath_score": 0.9041623473167419,
"tags"... |
You proved correctly that $f=g$ as maps of the underlying spaces of $X, Y$. That they are equal as morphisms either follows from the definition in Kempf's book (I can't check) or has to be proved (used the fact the $O_X(U)$ is reduced).
-
I have added this comment as an answer, since the text keeps overflowing. My apo... | {
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"lm_q1_score": 0.9496693702514737,
"lm_q1q2_score": 0.8163963291603206,
"lm_q2_score": 0.8596637469145054,
"openwebmath_perplexity": 224.84438009001894,
"openwebmath_score": 0.9441254138946533,
"ta... |
java, algorithm, matrix
int[][] m = { { 1, 2, 3 },
{ 4, 5, 6 },
{ 7, 8, 9 }, };
printCircumference(m);
}
}
I've scoped the variables about as tightly as is possible.
Also, the original row and column variables are slightly misnamed - they're the count/limit, ... | {
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"tags": "java, algorithm, matrix",
"url": null
} |
nuclear-physics, binding-energy
Title: Binding energies of $Be$ Just a quick question.
How does Beryllium 8 decay into 2 alpha particles?
Beryllium 8 has a binding energy of 56.499508 Mev
An alpha particle has a binding energy of 28.3 so two of these would have 56.6 Mev
So how does this reaction happen?
Beryllium do... | {
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"tags": "nuclear-physics, binding-energy",
"url": null
} |
javascript, authentication, react.js, django, jwt
Default is datetime.timedelta(seconds=300)(5 minutes).
Per OAuth 2 spec:
access tokens may have a shorter lifetime and fewer permissions than
authorized by the resource owner
Per Auth0 guidance:
Access tokens carry the necessary information to access a resource dir... | {
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"tags": "javascript, authentication, react.js, django, jwt",
"url": null
} |
classical-mechanics, coordinate-systems, hamiltonian-formalism, phase-space, poisson-brackets
without using (3)!
Does it mean that any transformation of the form (2) is canonical?
But as far as I knew, only a subset of transformations of type (1) which satisfies (3) preserve the form of Hamilton's equations i.e. are c... | {
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"tags": "classical-mechanics, coordinate-systems, hamiltonian-formalism, phase-space, poiss... |
ros, ros-kinetic, movegroup
You can use the jog_arm package to velocity control a robot setup with MoveIt,
I'm not sure that is what jog_arm does: jog_arm allows you to jog (ie: manually control) a robot and works best with a velocity control interface. It has no direct relation with MoveIt, nor does it use ..
Commen... | {
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"tags": "ros, ros-kinetic, movegroup",
"url": null
} |
^{b_{k-1}}\cdots\left( q^{2^{0}}\right) ^{b_{0}}} \\ &=\sum\limits_{b_{0}=0}^{a_{0}}\sum\limits_{b_{1}=0}^{a_{1}}\cdots\sum\limits_{b_{k}=0}^{a_{k} }\left( q^{2^{k}}\right) ^{b_{k}}\left( q^{2^{k-1}}\right) ^{b_{k-1} }\cdots\left( q^{2^{0}}\right) ^{b_{0}} \\ &=\left( \sum\limits_{b_{k}=0}^{a_{k}}\left( q^{2^{k}}\right... | {
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"lm_q1_score": 0.9748211597623861,
"lm_q1q2_score": 0.8648658197157344,
"lm_q2_score": 0.8872046026642944,
"openwebmath_perplexity": 512.8374520454395,
"openwebmath_score": 0.9995993971824646,
"tag... |
electricity
The low availability of electric kettles in the USA is a socio-economic question which I think cannot be answered by physics alone. Filtered or percolated coffee is very popular despite also (I presume) using the inefficient 110V supply, so I think this cannot be the main reason. Cultural preference for co... | {
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"tags": "electricity",
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} |
Proof. By Theorem 1 the eigenvalues of $A$ are those of the symmetric matrix $S = D^{-1}AD$ and so are real. The matrix $S$ is tridiagonal and irreducible so it is nonderogatory by Theorem 4, which means that its eigenvalues are simple because it is symmetric.
The formula (6) confirms the conclusion of Corollary 5 for... | {
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"lm_q1_score": 0.99058741207965,
"lm_q1q2_score": 0.8121760112647906,
"lm_q2_score": 0.8198933293122507,
"openwebmath_perplexity": 245.0137884704531,
"openwebmath_score": 0.9666736125946045,
"tags": null... |
species-identification, arachnology
Title: Request for an ID of two spider species found in Australia, NT These two spiders were found in the Northern Territory in Australia in July (winter time). Both arachnids were shot during the night (I suspect them to be nocturnal), and both were found close to the ground. They ... | {
"domain": "biology.stackexchange",
"id": 8400,
"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": "species-identification, arachnology",
"url": null
} |
computer-vision, autoencoders, variational-autoencoder
Title: What is an appropriate size for a latent space of (variational) autoencoders and how it varies with the features of the images? I am training an autoencoder and a variational autoencoder using satellite and streetview images. I have tested my program on sta... | {
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"lm_label": null,
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"tags": "computer-vision, autoencoders, variational-autoencoder",
"url": null
} |
python, tkinter, shuffle
go = Button(root, text="GO!", command=shuffle)
go.pack()
hilab = Label(root, text="Well done, you got the high score!"
"Enter your name below"
"Press [TAB] to restart!"
)
enter = Button(root, text="Enter", command=update)
entr... | {
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"openwebmath_score": null,
"tags": "python, tkinter, shuffle",
"url": null
} |
openni, eigen
Title: Openni compilation error
I'm getting a compilation error when building openni on Ubuntu 10.10:
In file included from openni_camera/src/openni_driver.cpp:43:
openni_camera/include/openni_camera/openni.h:45: fatal error: Eigen/Core: No such file or directory
I'm using the version checked out from g... | {
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"id": 4830,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "openni, eigen",
"url": null
} |
filters, audio, interpolation
buffers[channel][samp] = out;
}
}
} It's a bug.
M_PI*config->count++
You are processing 2 channels, but incrementing your modulation in the inner loop. So at the end of processing 1 channel, you continue to increment the modulation as you process the second channel.
c1 [ 1,2,... | {
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"tags": "filters, audio, interpolation",
"url": null
} |
# On finding the distribution of $P(N_{t_1}=n_1 \lvert N_{t_2}=n_2)$ where $N_t$ is a Poisson process for each $t\geq0$ with the same parameter?
Let $N_t, t\geq0$, be a Poisson process with intensity $\lambda$. Let $0<t_1<t_2$ be times and $0\leq n_1\leq n_2$ be nonnegative integers. Find the conditional probability $... | {
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"lm_q1_score": 0.9820137910906878,
"lm_q1q2_score": 0.8028694043184579,
"lm_q2_score": 0.8175744695262777,
"openwebmath_perplexity": 90.21363190449526,
"openwebmath_score": 0.8774873614311218,
"tag... |
# Maximum / Minimum Cost of a Box
this is a sample final question for a multivariable calculus course.
"A rectangular box has two opposing sides (left and right) made of gold, two (front and back) of silver, and two (top and bottom) of bronze. The cost (per unit area) of the gold is $4dollars/m^2$, the silver is $2do... | {
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9848109529751892,
"lm_q1q2_score": 0.826979216848736,
"lm_q2_score": 0.8397339756938818,
"openwebmath_perplexity": 322.2101714881176,
"openwebmath_score": 0.7696598172187805,
"tags... |
nuclear-engineering
Title: How do nuclear power plants prevent fuel rods from depleting nonuniformaly? Power output of nuclear reactors is controlled by control rods that sit in between the fuel rods:
These are pulled out to increase fission rates - and lowered to decrease them.
The control rods are made from neutron... | {
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"openwebmath_score": null,
"tags": "nuclear-engineering",
"url": null
} |
# Compact set on $\mathbb{R}$ with this topology generated from the basis set $B=\{(–a,a)\ s.t.\ a \in \mathbb{R}\}$
Let A be a subset of a topological space $X$, and let $O$ be a collection of subsets of $X$.
(i) The collection $O$ is said to cover $A$ or to be a cover of $A$ if $A$ is contained in the union of the s... | {
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"id": null,
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9850429112114064,
"lm_q1q2_score": 0.8392100645628584,
"lm_q2_score": 0.8519527982093666,
"openwebmath_perplexity": 131.92532214999207,
"openwebmath_score": 0.878775954246521,
"tag... |
ros
Title: no matching function for call to ‘ros::NodeHandle::advertiseService(const char [12], bool (Eddie::*)(), Eddie* const)’
Hi I am getting the following error:
**error: no matching function for call to ‘ros::NodeHandle::advertiseService(const char [12], bool (Eddie::*)(), Eddie* const)’**
Below is the code:
... | {
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"tags": "ros",
"url": null
} |
graphs, minimum-spanning-tree, prims-algorithm
Title: MST: Is there such an example of a graph with unique mst and not unique light edge? The problem is the following:
Give an example of a graph that has a unique minimum spanning tree but for every cut of the graph, there is not a unique light edge crossing the cut.
I... | {
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"tags": "graphs, minimum-spanning-tree, prims-algorithm",
"url": null
} |
mathematical-physics, group-theory, topology, lie-algebra, group-representations
It seems natural to mention that the Lie group isomorphism (1a) generalizes in a straightforward manner to generic (indefinite) unitary (super) groups
$$\begin{align} U(p,q|m)~\cong~&[U(1)\times SU(p,q|m)]/\mathbb{Z}_{|n-m|}, \cr
Z( SU(p... | {
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"tags": "mathematical-physics, group-theory, topology, lie-algebra, group-representations",... |
homework-and-exercises, electromagnetism
How do you go from $dB'_y$ to $(\partial B_y/\partial x)dx$? I don't know which book you're reading from. I think you don't have to consider $B(x,y)$ as homogenous. Consider that when you integrate along your path, only the component $B_y$ will contribute along segment $QR$ and... | {
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"tags": "homework-and-exercises, electromagnetism",
"url": null
} |
c++, algorithm, c++11, image
ByerrBufferLine_pls1[col-2] + ByerrBufferLine_pls1[col+2])>>12;
avg_G3_q_cm1 = CLIP_VAL(avg_G3_q_cm1, 0, MaxPxlVal);
avg_G3_q_cp1 = 819*(int)(ByerrBufferLine_min1[col] + ByerrBufferLine_min1[col+2] + ByerrBufferLine[col+1] +
B... | {
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"openwebmath_score": null,
"tags": "c++, algorithm, c++11, image",
"url": null
} |
simulation, multi-agent, swarm
Title: What is the difference between Multiple robots and swarm robots? What is the difference between Multiple robots and swarm robots? What is the key point? Also what is multi agent systems? Do multi agent systems works only for computer simulations or games? These terms are used simi... | {
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"tags": "simulation, multi-agent, swarm",
"url": null
} |
## Ideals (Prime, Maximal, Proper, Principal, etc)
### Fall 2021 #5
Let $$R$$ be an algebra over $$\mathbb{C}$$ which is finite-dimensional as a $${\mathbb{C}}{\hbox{-}}$$vector space. Recall that an ideal $$I$$ of $$R$$ can be considered as a $${\mathbb{C}}{\hbox{-}}$$subvector space of $$R$$. We define the codimens... | {
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"lm_q1q2_score": 0.8030827774478073,
"lm_q2_score": 0.8104789132480439,
"openwebmath_perplexity": 362.4303021135475,
"openwebmath_score": 0.9997151494026184,
"tags":... |
algorithms, matrices
Title: Common idea in Karatsuba, Gauss and Strassen multiplication The identities used in multiplication algorithms by
Karatsuba (integers)
Gauss (complex numbers)
Strassen (matrices)
seem very closely related. Is there a common abstract framework/generalization? The classical framework is the o... | {
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"openwebmath_score": null,
"tags": "algorithms, matrices",
"url": null
} |
c, fsk, pcm
Note: it is very important to test with a random data pattern containing both rapid 10101 transitions as well as longer runs. Testing with a repeating 1010 pattern will confirm highest data rate but will also be the most behaved result. Below shows the equivalent result using the OP's modulated data with t... | {
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"tags": "c, fsk, pcm",
"url": null
} |
zoology, terminology, nomenclature, invertebrates, etymology
Urochorda
Cephalochorda
Craniata
which is more or less the accepted division today, with Urochorda being called Urochordata now.
In this essay, Lankester says:
The evidence of degeneration is admitted as conclusive in the case of the parasitic Crustacea an... | {
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"tags": "zoology, terminology, nomenclature, invertebrates, etymology",
"url": null
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this in the case of Neumann conditions for the wave and heat equations on the. !The other ordinary differential equation is a homogeneous. But for the purposes of this exercise we shall be concerned with the solutions which exhibit circular symmetry. ∂u ∂t = k ∂2u ∂x2 (1) u(0,t) = A (2) u(L,t) = B (3) u(x,0) = f(x) (4)... | {
"domain": "quadri-canvas.it",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9811668695588647,
"lm_q1q2_score": 0.8089347294893187,
"lm_q2_score": 0.8244619285331332,
"openwebmath_perplexity": 442.1441670526314,
"openwebmath_score": 0.8055364489555359,
"tags... |
c#, beginner, object-oriented, playing-cards
public Bot(AnchorStyles style, string name, int rightCard, int enumCasted, Point cardsLocation, bool down, Tuple<int, int> maxRaise)
{
RightCard = rightCard;
LeftCard = RightCard + 1;
Name = name;
Chips = 10000;
Type = -1;
... | {
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"tags": "c#, beginner, object-oriented, playing-cards",
"url": null
} |
python, beginner, python-3.x, tkinter, unit-conversion
Currency_Input.bind('<Return>',enter)
Currency_Output_Label = Label(currency_converter, text='', bg='#007780', fg='white',font=("Century Gothic",11))
Currency_Output_Label.grid(row=2,column=1, padx=5, pady=5, sticky=W)
Currency_Output1_Label = Label(... | {
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"tags": "python, beginner, python-3.x, tkinter, unit-conversion",
"url": null
} |
Thanks!
*without MGF* (yeah, I'm crazy about LOTUS)
As you said, $X=\exp(Y)$, where Y follows a normal distribution $(\mu,\sigma^2)$. So we're looking for $\mathbb{E}(\exp(Y))$.
For more convenience, we can consider $Z\sim\mathcal{N}(0,\sigma^2)$. And then, Y follows the same distribution as $Z+\mu$.
We'll calculate ... | {
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"lm_q2_score": 0.8438951005915208,
"openwebmath_perplexity": 574.970996358504,
"openwebmath_score": 0.8579851388931274,
"tags... |
ur5
Title: cannot connect to ur5
When using the universal_robot function package, use the 30002 port to connect the robot, the prompt cann't connect to mongoDB
Originally posted by asdxcsd on ROS Answers with karma: 1 on 2017-02-20
Post score: 0
Are you trying to connect to the robot using the text box in the red r... | {
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"tags": "ur5",
"url": null
} |
kinematics
Title: Finding maximum height of a falling object A champagne cork travels vertically into the air. It takes 4.0s to return to its starting
position.
a. How long does the cork take to reach its maximum height?
I assumed that the velocity at the maximum height to be 0 and trying to find the final velocity (r... | {
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"tags": "kinematics",
"url": null
} |
ros, slam, navigation, path, hector
Originally posted by Pablo Iñigo Blasco with karma: 2982 on 2016-05-16
This answer was ACCEPTED on the original site
Post score: 0
Original comments
Comment by billy on 2016-05-18:
I'd hate to give up on Eclipse, especially after spending so much effort on it already...I know...sun... | {
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"tags": "ros, slam, navigation, path, hector",
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} |
from what was given, $$f(a) \le a,f(-a) \le-a$$
So: $$f(a)-a \ge f(a)+f(-a) \ge 0 \to f(a) \ge a$$ (True because $$-a \ge f(-a)$$ )
We have that $$f(a) \le a$$
and also that $$f(a) \ge a$$
So $$f(a)=a$$ | {
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"lm_q2_score": 0.8175744850834649,
"openwebmath_perplexity": 264.06111390351487,
"openwebmath_score": 0.9528312683105469,
"tag... |
newtonian-mechanics, momentum, conservation-laws, velocity
Title: Does the theory of the Conservation of motion apply to horizontal-vertical systems? Suppose, a trolley is moving along a frictionless surface with a constant velocity. After some time a mass is added to the trolley. I read somewhere that the theory of C... | {
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"tags": "newtonian-mechanics, momentum, conservation-laws, velocity",
"url": null
} |
swift, quiz
Title: True or false quiz logic I am creating a true or false quiz game and when the user chooses an answer a tick or cross will appear on the screen telling the user whether they are right or wrong and then automatically bring the next question in.
Currently I am using 2 almost identical functions that dr... | {
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"id": 13956,
"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": "swift, quiz",
"url": null
} |
beginner, c, factors
int main(int argc, const char **argv)
{
char mode_entry[5];
const char *mode;
long num;
if (argc < 2)
{
printf("Enter the number: ");
if (scanf("%ld", &num) != 1)
{
fprintf(stderr, "Invalid number\n");
return 1;
} ... | {
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"openwebmath_score": null,
"tags": "beginner, c, factors",
"url": null
} |
machine-learning, data-mining, k-means, pca, dimensionality-reduction
Title: Understanding clusters after applying PCA then K-means I have a dataset grouped by customer level, and the rows are sum_mexico, sum_uk, ... etc to indicate if the customer has spent money at stores in those countries..similarily counts for th... | {
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"tags": "machine-learning, data-mining, k-means, pca, dimensionality-reduction",
"url"... |
virology, rna-interference
Title: Transposons, Viruses and RNA interference My textbook says that in RNAi, a complementary double stranded RNA sequence attaches to an mRNA and silences it using a protein machinery. I Googled and read about this so now I know what siRNA and RISC and microRNA are. But the next thing my ... | {
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"id": 7825,
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"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "virology, rna-interference",
"url": null
} |
= 3T(n/3) + n/2. Apply the recurrence relation to the remaining terms. This JavaScript program automatically solves your given recurrence relation by applying the versatile master theorem (a. Solved Consider the following recurrence relation. can be solved with recursion tree method. Solution 🔗 The above example shows... | {
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"lm_q1_score": 0.986571742099477,
"lm_q1q2_score": 0.8065958686965955,
"lm_q2_score": 0.8175744695262777,
"openwebmath_perplexity": 515.3467406625115,
"openwebmath_score": 0.7795338034629822,
"tags": nu... |
property-testing
Since we have a bad lower bound on $|C|$, we cannot obtain an interesting complexity for the tester...
So, the question is : are you aware of a result on this problem ? And if not, have you got some better ideas that we have ? Your problem is well-understood in the case $S = \{0,1\}$. Here, the funct... | {
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# Simplify $2^{(n-1)} + 2^{(n-2)} + … + 2 + 1$
Simplify $2^{(n-1)} + 2^{(n-2)} + .... + 2 + 1$ I know the answer is $2^n - 1$, but how to simplify it?
• What happens if you add $1$? – Gottfried Helms Dec 3 '13 at 10:35
First way:
$a^n-b^n=(a-b)(a^{n-1}+a^{n-2}b+a^{n-3}b^2+...+a^2b^{n-3}+ab^{n-2}+b^{n-1})$
set a=2,... | {
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"lm_q2_score": 0.8633916152464016,
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"openwebmath_score": 0.8980399370193481,
"tag... |
python, performance, python-3.x, programming-challenge, balanced-delimiters
Here are some inputs/outputs -
print(remove_invalid_parentheses("()())()"))
>>> ["()()()", "(())()"]
print(remove_invalid_parentheses("(a)())()"))
>>> ["(a)()()", "(a())()"]
print(remove_invalid_parentheses(")("))
>>> [""]
Here are the ti... | {
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"openwebmath_score": null,
"tags": "python, performance, python-3.x, programming-challenge, balanced-delimiters",
... |
data-structures, combinatorics, databases, structured-data
Title: Partial Range Query on Inverted File with Combined Index I am currently reading Multidimensional and Metric Data Structures by Hanan Samet for fun. The combined index is discussed on page 5-6. I do understand it in the sense that the inverted file itsel... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "data-structures, combinatorics, databases, structured-data",
"url": null
} |
homework-and-exercises, newtonian-mechanics, momentum, conservation-laws, collision
Title: Firing machine question Suppose we have a firing machine on a frictionless surface at point $x=0$. It fires a bullet of mass $m$ every $T$ seconds. Each bullet has the same constant velocity $v_0$. There's a body of mass $pm$ ($... | {
"domain": "physics.stackexchange",
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"openwebmath_perplexity": null,
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"tags": "homework-and-exercises, newtonian-mechanics, momentum, conservation-laws, collision... |
algorithms, graphs
Title: Proving algorithm for removing nodes from a complete graph with two kinds of edges Lets say $G$ is complete undirected graph with a set of edges coloured either black or red. The problem is to find an algorithm answering if it is possible to remove a subset of nodes from $G$ in a way such tha... | {
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"id": 4945,
"lm_label": null,
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"openwebmath_score": null,
"tags": "algorithms, graphs",
"url": null
} |
ct.category-theory, domain-theory
= & \bigsqcup^{D_{i}} \{\bot_i, f_i(\bot_{i+1}),f_i(f_{i+1}(\bot_{i+2})),f_i(f_{i+1}(f_{i+2}(\bot_{i+3}))),\ldots\} \\
= & d_i
\end{array}
$$
To prove that $d$ is the bottom, we take any $x \in D$, and we observe
$$
\begin{array}{ll}
& d_i \sqsubseteq x_i \\
\Leftarrow & \forall k\geq... | {
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"tags": "ct.category-theory, domain-theory",
"url": null
} |
# Is the empty family of sets pairwise disjoint?
„A family of sets is pairwise disjoint or mutually disjoint if every two different sets in the family are disjoint.“ – from Wikipedia article "Disjoint sets"
What about the empty family of sets? Is it also pairwise disjoint?
I think, that the empty family of sets is p... | {
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"lm_q1_score": 0.9893474897884492,
"lm_q1q2_score": 0.8134307481027258,
"lm_q2_score": 0.8221891261650247,
"openwebmath_perplexity": 223.788290757982,
"openwebmath_score": 0.8574721813201904,
"tags... |
java, strings, array
for (int i = 0; i < charArr1.length; i++) {
if (charArr1[i] == 'a')
aCount++;
if (charArr1[i] == 'b')
bCount++;
if (charArr1[i] == 'c')
cCount++;
if (charArr1[i] == 'd')
dCount++;
... | {
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"id": 10769,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, strings, array",
"url": null
} |
file-system, vba
Function as a local variable
I don't like this:
Set GlobRecurse = New List
...
GlobRecurse.Extend GlobRecurse(folder, pat_list, index + 1)
While this certainly works, it is rather ugly. Not because of multiple assignments (roughly requivalent to multiple [non-returning] return statements), but becaus... | {
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"openwebmath_score": null,
"tags": "file-system, vba",
"url": null
} |
ros, jenkins, buildfarm, bloom-release
dpkg-shlibdeps: error: couldn't find library libopencv_nonfree.so.2.4 needed by debian/ros-groovy-visp/opt/ros/groovy/lib/libvisp-2.so.2.6.2 (ELF format: 'elf32-i386'; RPATH: '')
dpkg-shlibdeps: error: couldn't find library libopencv_video.so.2.4 needed by debian/ros-groovy-visp/... | {
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"id": 12866,
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros, jenkins, buildfarm, bloom-release",
"url": null
} |
homework-and-exercises, forces, buoyancy, fluid-statics
I need to find $(1)$ The tension of the rope $(2)$ the buoyancy $1$ receives due to the liquid.
I solved it, but I'm getting strange results:
Let $W$ be the weighs, $B$ be the buoyancy and $T$ the tension. Then, since the system is static:
$$B_1+B_2-W_1-W_2=0$$
(... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "homework-and-exercises, forces, buoyancy, fluid-statics",
"url": null
} |
satisfiability, boolean-algebra, 3-sat, constraint-satisfaction, bipartite-graph
$\quad(x_1,x_2,x_3)(a,x_1,y_1)(a,x_3,y_3)$
$\quad(x_1,x_2,x_3)(a,x_2,y_2)(a,x_3,y_3)$
$\quad(y_1,y_2,y_3)(a,x_1,y_1)(a,x_2,y_2)$
$\quad(y_1,y_2,y_3)(a,x_1,y_1)(a,x_3,y_3)$
$\quad(y_1,y_2,y_3)(a,x_2,y_2)(a,x_3,y_3)$
X3SAT can be converted... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "satisfiability, boolean-algebra, 3-sat, constraint-satisfaction, bipartite-graph",
"u... |
general-relativity, gravity, time, popular-science
Title: Do residents of the Hudson Bay area have more time? Apparently there is a gravity anomaly in the Hudson Bay Area in Canada: gravity is "missing" or it is slightly less than it is in the rest of the world.
Does that mean that things in the Hudson Bay Area would ... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "general-relativity, gravity, time, popular-science",
"url": null
} |
java, programming-challenge
Title: Project Euler 3 - Largest prime factor Problem 3 - Largest prime factor
Exercise
The prime factors of 13195 are 5, 7, 13 and 29.
What is the largest prime factor of the number 600851475143 ?
My solution
package pl.hubot.projecteuler.problem3;
import java.util.ArrayList;
import jav... | {
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"tags": "java, programming-challenge",
"url": null
} |
thermodynamics, astrophysics, equilibrium, stars, stability
3 - The perturbed configuration no longer satisfies the equation of hydrostatic equilibrium, but the Euler equation of motion for an auto-gravitating fluid (in spherical symmetry).
4 - For small perturbations, the solution to the equation of motion is express... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "thermodynamics, astrophysics, equilibrium, stars, stability",
"url": null
} |
harmonic-oscillator, spring, elasticity, approximations, linearized-theory
Of course this is far too simple to describe the more complex material effects of crystal lattices being stretched from equilibrium, but this is the general idea of how many materials can exhibit linear relationships between force and distance ... | {
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"tags": "harmonic-oscillator, spring, elasticity, approximations, linearized-theory",
"ur... |
# Challenge 4: There's no app for that: integration
Staff Emeritus
Gold Member
a.) Poor Wolfram Alpha got asked to calculate the following integral
$$\int_{0}^{\infty} e^{-ax} \frac{\sin(x)}{x} dx$$
but couldn't handle it!
http://www.wolframalpha.com/input/?i=int_{0}^{infty}+e^{-ax}+sin(x)+/xdx
(Results are not guar... | {
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"lm_q1_score": 0.9833429582822473,
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"lm_q2_score": 0.8479677506936878,
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"openwebmath_score": 0.9997851252555847,
"tag... |
Discuss (999+) Submissions. Call dfs for the graph $$G$$ to compute the finish times or. or. A directed graphs is said to be strongly connected if every vertex is reachable from every other vertex. The following are 15 code examples for showing how to use networkx.strongly_connected_component_subgraphs().These examples... | {
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"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9736446448596305,
"lm_q1q2_score": 0.845928542955405,
"lm_q2_score": 0.8688267813328976,
"openwebmath_perplexity": 682.6030261600721,
"openwebmath_score": 0.4783529043197632,
"tags... |
phylogenetics, python, format-conversion
Title: Relaxed and sequential Phylip format conversion I routinely use AlignIO in BioPython for manipulating alignments and in context here moving from fasta format to phylip format. Alot of phylogeny packages accept a relaxed (sequence ID) & sequential (sequence) phylip format... | {
"domain": "bioinformatics.stackexchange",
"id": 1475,
"lm_label": null,
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"tags": "phylogenetics, python, format-conversion",
"url": null
} |
python, python-3.x, programming-challenge
if __name__=='__main__':
assert transform_string("") == ""
assert transform_string("qwertyuiop") == "rxfsUzvjpq"
assert transform_string("asdfghjkl") == "btEghIklm"
assert transform_string("zxcvbnm") == "AydwcOn"
assert transform_string("1... | {
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"tags": "python, python-3.x, programming-challenge",
"url": null
} |
# Integrate Without Expanding Numerator
#### paulmdrdo
##### Active member
how to solve this without expanding the numerator.
$\displaystyle \int\frac{(x-1)^3}{x^2}dx$
#### DreamWeaver
##### Well-known member
how to solve this without expanding the numerator.
$\displaystyle \int\frac{(x-1)^3}{x^2}dx$
Not sure if t... | {
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"lm_q1q2_score": 0.8017479158121813,
"lm_q2_score": 0.8333246035907933,
"openwebmath_perplexity": 2290.4285111275294,
"openwebmath_score": 0.9983141422271729,
"t... |
and show that the probability of the exceptional event is small enough to bound the difference of both sides of $$\text{(1)}$$ by a vanishing qantity.
2. Note that $$\text{(2)}$$ alone is not enough to show this. So, we need to elaborate the argument in step 3 so that it can actually prove the relation $$\mathbf{E}\bi... | {
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"lm_q1_score": 0.9777138157595306,
"lm_q1q2_score": 0.8658941187694522,
"lm_q2_score": 0.8856314647623016,
"openwebmath_perplexity": 377.59253430301277,
"openwebmath_score": 0.9969085454940796,
"ta... |
D = √ (x2 – x1) 2+ (y2 – y1) 2 In the above formula, the term “(x2 – x1)” represents the change in x, … For example, consider the two points in a 3D grid p (x₁,y₁,z₁) = p (2,3,4) and q (x₂,y₂,z₂) = q (5,9,11). But there is a real distance in the "real-world". I have . For example if you wish t… Book about young girl me... | {
"domain": "vsecnblock.com",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9449947117065458,
"lm_q1q2_score": 0.8243636464335057,
"lm_q2_score": 0.8723473647220786,
"openwebmath_perplexity": 1163.3422231612126,
"openwebmath_score": 0.44226107001304626,
"... |
fluid-dynamics, rotational-dynamics, rigid-body-dynamics
Title: When do we have rigid body rotation in fluids? I'm studying articles about spinning drop method. In most of approaches, the fluid movements are taken as rigid body rotation.
My question is not about only spinning drop device, I want to know, when in natur... | {
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"id": 67387,
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"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "fluid-dynamics, rotational-dynamics, rigid-body-dynamics",
"url": null
} |
electromagnetism, general-relativity, photons, hamiltonian-formalism, qft-in-curved-spacetime
Title: How to go from a wave to a particle description of photon dynamics in curved spacetime? The general interaction of EM fields with gravity is given by,
$$ S = \int d^4x \sqrt{-g} F_{\mu \nu} F^{\mu \nu}$$
for EM field t... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "electromagnetism, general-relativity, photons, hamiltonian-formalism, qft-in-curve... |
newtonian-mechanics, torque
Title: Torque required by a motor: using a counterweight to reduce? I have a motor and gearbox that is rated for a certain amount of torque in newton meters. Its primary load $M_1$ is connected by a rigid rod (assumed massless) length $L_1$. So I reckon the (max) torque required is $L_1 {\t... | {
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"openwebmath_score": null,
"tags": "newtonian-mechanics, torque",
"url": null
} |
(A) 10
(B) 45
(C) 50
(D) 55
(E) 65
OG 2019 PS07712
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4170
Location: United States (CA)
Re: Of the 150 houses in a certain development, 60 percent have [#permalink]
### Show Tags
15 Nov 2017, 16:22
9
3
ganan... | {
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"lm_q2_score": 0.8418256412990657,
"openwebmath_perplexity": 2880.4193458875766,
"openwebmath_score": 0.6514236927032471,
"tags": n... |
turing-machines, finite-automata, decision-problem
(I am talking about right division.)
We know how to check whether the language of a DFA is finite, and given two DFAs, we know how to check whether their languages are equal. The algorithms I know to the above problems uses the DFA's, so it is necessary having the DFA... | {
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"openwebmath_score": null,
"tags": "turing-machines, finite-automata, decision-problem",
"url": null
} |
____________________________________________________________________
The Notion of Shrinking
The key to the proof is the notion of shrinkable open covers and shrinking spaces. Let $X$ be a space. Let $\mathcal{U}$ be an open cover of $X$. The open cover of $\mathcal{U}$ is said to be shrinkable if there is an open co... | {
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"lm_q1_score": 0.9920620049598216,
"lm_q1q2_score": 0.8016527754339622,
"lm_q2_score": 0.808067208930584,
"openwebmath_perplexity": 7027.181819724902,
"openwebmath_score": 1.0000100135803223,
"tags... |
navigation, ros-indigo, robot-pose-ekf
Title: How do you dynamically set a known position in robot_pose_ekf when you encounter a landmark?
I have a turtlebot running ROS Indigo that I am using to navigate a floorplan. I am using the robot_pose_ekf package for odometry. However, it would be convenient if the the robot... | {
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"tags": "navigation, ros-indigo, robot-pose-ekf",
"url": null
} |
programming-challenge, rust
let inputs = file_reader
.lines()
.map(|line| {
let line_res = line.unwrap();
// what if the line is empty?
let mut res = line_res.split(" ");
// multiple unwraps, kill 'em all with one match in functional style
let... | {
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"openwebmath_score": null,
"tags": "programming-challenge, rust",
"url": null
} |
Sequences and Series Question
Printable View
• July 12th 2011, 12:15 PM
dwally89
Sequences and Series Question
Hi,
I am new to this forum so please let me know if I am posting in the wrong place, and I will move my thread.
I have the following question:
Let the sequence $(a_n)$ be given recursively by the formula:
... | {
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"openwebmath_score": 0.9291948080062866,
"tag... |
# Is there any nonconstant function that grows (at infinity) slower than all iterations of the (natural) logarithm?
Is there any nonconstant function that grows at infinity slower than all iterations of the (natural) logarithm?
Yes, just take a function which is equal to $\log x$ on an initial interval such as $[1,K_... | {
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"lm_q1q2_score": 0.8368187607561264,
"lm_q2_score": 0.8577681122619883,
"openwebmath_perplexity": 323.6973258922759,
"openwebmath_score": 0.8649914264678955,
"tag... |
# How to prove $\cos(x+y)+\sin(x-y)=2 \sin(x+\frac{\pi}{4}) \sin(\frac{\pi}{4}-y)$
I spend some time trying to figure out how to prove the following identity:
$$\cos(x+y)+\sin(x-y)=2 \sin\left(x+\frac{\pi}{4}\right) \sin\left(\frac{\pi}{4}-y\right)$$
I tried to use the following identities:
$$\cos(x+y)=\cos(x) \sin... | {
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"lm_q1q2_score": 0.8322862867874394,
"lm_q2_score": 0.8418256452674008,
"openwebmath_perplexity": 631.3502445783454,
"openwebmath_score": 0.9996728897094727,
"tag... |
np-complete, reductions, sorting, np-hard, polynomial-time-reductions
The answer is 4. By subtracting (0,1,1,1),(0,1,1,1),(0,0,1,1) and (1,0,0,1), we will have [1,1,1,1] which is decreasingly sorted. We used 4 tuples, and it is not possible with fewer tuples(at least, I could not). You can reduce from exact-cover by $... | {
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"openwebmath_score": null,
"tags": "np-complete, reductions, sorting, np-hard, polynomial-time-reductions",
"url": null
} |
gazebo-1.3
Originally posted by r0nald on Gazebo Answers with karma: 62 on 2013-01-09
Post score: 1
The URI value for your PNG is probably incorrect. The URI must specify a file, including the path, that is relative to a path specified in the GAZEBO_RESOURCE_PATH environment variable:
env | grep GAZEBO_RESOURCE_PATH
... | {
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"tags": "gazebo-1.3",
"url": null
} |
java, beginner, object-oriented
private boolean overlapsHorizontalLine(double xStart, double xEnd, double y) {
return xStart <= getLeft()
&& xEnd >= getRight()
&& y >= getBottom()
&& y <= getTop();
}
private boolean overlapsVerticalLine(double yStart, double yEnd, double x) {
... | {
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"openwebmath_score": null,
"tags": "java, beginner, object-oriented",
"url": null
} |
php, object-oriented, mysql, e-commerce
public $number_of_users; //Holds the number of users in the DB.
function __construct()
{
$this->number_of_users = $this->number_of_users();
}
private function number_of_users()
{
global $database;
$results = $database->query("SELECT ... | {
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"tags": "php, object-oriented, mysql, e-commerce",
"url": null
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# Integrals
Integration can be used to find areas, volumes, central points and many useful things. It is often used to find the area underneath the graph of a function and the x-axis. The first rule to know is that integrals and derivatives are opposites! Sometimes we can work out an integral, because we know a matchi... | {
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"lm_q2_score": 0.8244619263765707,
"openwebmath_perplexity": 595.9332064337948,
"openwebmath_score": 0.9296665787696838,
"tags"... |
filters, python, infinite-impulse-response, butterworth, scipy
However, as the documentation for both of those functions suggests, for most practical use, you should actually use the SOS variants instead:
The function sosfilt (and filter design using output='sos') should be
preferred over lfilter for most filtering t... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "filters, python, infinite-impulse-response, butterworth, scipy",
"url": null
} |
haskell
Title: Determine children within edge and return a list of tuple pairs I've been studying hard and asking a lot of questions - I finally came a cross an exercise in LYAH that looked like it was easy enough but a perfect candidate for practicing.
The below program has a bunch of helper funcs in there, but the o... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "haskell",
"url": null
} |
the-moon, astrophysics
Title: Circular formation around the moon I have seen a large circular formation of cloud around the full moon sometimes.
Have anyone seen the same? What is the reason behind this formation?
Due to lunar attraction?
Most of the sky is empty and clear, and no clouds at all, only around the moon, ... | {
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"tags": "the-moon, astrophysics",
"url": null
} |
by muskan15 ( -3,443 points ) quadrilaterals a 80 cm A.. Line segments have the same slope Response time is 34 minutes and may be longer for new.! + f2 then it is always a_____ A. rectangle that all four angles at point E are 0... Parallelogram, are perpendicular and not congruent, then this parallelogram is a square i... | {
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"lm_q1_score": 0.9838471632833943,
"lm_q1q2_score": 0.8681741653815287,
"lm_q2_score": 0.8824278788223264,
"openwebmath_perplexity": 404.38305370460273,
"openwebmath_score": 0.6866893172264099,
... |
machine-learning, training, data-science-model
Title: May the training set and validation set overlap? May the training set and validation set overlap?
Similarly, may the testing set and validation set overlap? Definitions, so we are on the same page:
Training set: the data points used to train the model.
Validation ... | {
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"tags": "machine-learning, training, data-science-model",
"url": null
} |
But I do not feel that this would be the first way
that would pop into my mind.
If there were more events,
. . I'm sure this method would occur to you.
Given: .$$\begin{Bmatrix}P[a] = 0.1 \\ P = 0.3 \\ P[c] = 0.6 \end{Bmatrix}$$
Find the probability that at least one event occurs.
$$P[a\cup b \cup c] \:=\:1 - P[\si... | {
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"lm_q2_score": 0.8221891305219504,
"openwebmath_perplexity": 312.6542286117502,
"openwebmath_score": 0.850917637348175,
"tag... |
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