text stringlengths 1 1.11k | source dict |
|---|---|
algorithms, data-structures, union-find
For completeness, let us define a reasonable version of worst cases. As the above, let $D(T)$ be the average depth of a node in a rooted tree $T$. Let $I$ be a quick-find implementation of the union-find data structure, such as (naive) quick-find or weighted quick-find.
A defini... | {
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$2^1 \equiv 2 \pmod{10}$
$2^2 \equiv 4 \pmod{10}$
$2^3 \equiv 8 \pmod{10}$
$2^4 \equiv 6 \pmod{10}$
$2^5 \equiv 2 \pmod{10}$
$2^6 \equiv 4 \pmod{10}$
...etc.
And now the pattern appears obvious. Since the powers of $2$ mod 10 repeat every 4 numbers, we only need to compute $6972593 \pmod 4$. This is simply $1$, ... | {
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"openwebmath_score": 0.9173977375030518,
"ta... |
homework-and-exercises, radioactivity
Title: When to involve electron mass in energy calculation of beta decay I would just like to apologise for the horrible images because I have no idea to format the subscripts of the elements. Why is that we do not have to account for the weight of the electron in beta minus emiss... | {
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"url": null
} |
coordination-compounds, terminology, covalent-compounds
By the recombination of two methyl radicals:
$$\ce{H3C. + .CH3 -> H3C-CH3}\tag{1}$$
By the attack of a formal methide anion with a formal methanium cation:
$$\ce{Li-CH3 + H3C-OTf -> H3C-CH3 + LiOTf}\tag{2}$$
(The second version is absolutely equivalent to your $... | {
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Do you already have the theorem that $(1+\frac{1}{n})^n \le e$ for any natural number $n$? If so, then you do indeed have the inequality you want, and the rest of your solution is correct.
You want $(1+\frac{1}{n})^n < e$, i.e. $e^{1/n} > 1 + \frac{1}{n}$. This is true because
$$e^{1/n} = 1 +\frac{1}{n} +\frac{1}{2n^... | {
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vba, excel
Title: Re-arranging an matrix of numbers to a numeric list If I have an array of numbers like this:
1 3 4 6 7
1 2
2 4 5 9
5 7
1 2 3 5
Is there a quick way to take all of the unique numbers and arrange them into a single column, like this?
1
2
3
4
5
6
7
9
The approach I have works, but takes ... | {
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general-relativity, energy-conservation, gravitational-waves, dissipation, binary-stars
At this point I am going to transition to talking about electromagnetism, because the correct words are probably more familiar. But, the logic here can also be transferred to gravity (to leading order in perturbation theory). The e... | {
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java, algorithm
public static void main(String... args) {
int[] arr = new int[args.length];
for (int i = 0; i < args.length; i++)
arr[i] = Integer.valueOf(args[i]);
System.out.println(search(arr));
}
}
EDIT: the task is to find the lowest element
EDIT2: after much m... | {
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"tags": "java, algorithm",
"url": null
} |
lower-bounds, space-bounded, query-complexity, linear-equations
I learned about the formalism of black-box linear algebra (where access to the matrix is given via a black-box for computing matrix-vector product) in the works of Eberly, see e.g. here (I don't know whether it originated in his work, though). That Wiedem... | {
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"tags": "lower-bounds, space-bounded, query-complexity, linear-equations",
"url": null
} |
bash, awk
EDIT: OP has clarified that they wish to copy the files as such, not decompress them.
There are two ways to achieve this goal - you can either make physical copies of the files (thereby doubling the storage space you're currently using for them), or you can create symbolic links to the files (which are like ... | {
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"tags": "bash, awk",
"url": null
} |
newtonian-mechanics, newtonian-gravity, orbital-motion, planets
A key realization here is that the path should change continuously with the initial speed. Imagine the whole path traced out by a planet with a high velocity. An almost-straight hyperbola, say. Now as you continuously lower the velocity, the hyperbola ben... | {
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"tags": "newtonian-mechanics, newtonian-gravity, orbital-motion, planets",
"url": null
} |
organic-chemistry, inorganic-chemistry, catalysis
Title: Help with finding the right catalyst and reaction conditions for hydroamination reaction A friend of mine, final year PhD, and I, final year Bachelor, are focusing on hydroamination reactions. In particular those with secondary amines and substituted alkenes. Th... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "organic-chemistry, inorganic-chemistry, catalysis",
"url": null
} |
rviz
Title: rviz does not run on virtual machine - Illegal instruction (core dumped)
Hi everyone,
I am using Ubuntu 12.04 32-bit on VirtualBox. I just installed the rviz and tried to run it using "rosrun rviz rviz" command. But the followings will be shown and it doesn't start.
How can I fix the issue?
[ INFO] [13958... | {
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ros, knowrobtutorials, knowrob
?- probability_given(knowrob:'OmicsLocations', Obj, knowrob:'Kitchen', Pr), add_object(Obj, Pr, $C).
ERROR: Undefined procedure: add_object/3
ERROR: However, there are definitions for:
ERROR: mod_vis:add_object/2
false.
?- probability_given(knowrob:'OmicsLocations', Obj, kno... | {
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"url": null
} |
optimization, ne.neural-evol, genetic-algorithms, genetic-programming
In mathematical terms, an energy landscape can be defined as a pair $(X, f)$ consisting of a topological space $X$ representing the physical states or parameters of a system together with a continuous function $f: X → \mathbb{R}$ representing the en... | {
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"url": n... |
the summation at , so we shift the index of summation by one: Our sum is now in the form of a geometric series with a = 1, r = -2/3. You might also like to read the more advanced topic Partial Sums. 990234375 Sum to 11 terms = 9. This series is so special because it will enable us to find such things as Power Series an... | {
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"lm_q2_score": 0.8333245994514084,
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"openwebmath_score": 0.8276553750038147,
"... |
quantum-mechanics, hilbert-space, operators, wavefunction, klein-gordon-equation
In particular, the expression for the scalar product given in the left-hand side of (3) is valid only for quantum states (2) and not for complete solutions of the KG equation as in (1).
REMARK. Relativistic QM has a problematic status in ... | {
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ros, catkin, message-generation, ros-package-path, roslisp
Comment by Georg Bartels on 2013-06-18:
@Dirk: With regards to ROSLISP_PACKAGE_DIRECTORIES, is this environment variable deprecated or can we use it to point to both /opt/ros//share/common-lisp/ros and ~//devel/share/common-lisp/ros?
Comment by William on 2013... | {
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"tags": "ros, catkin, message-generation, ros-package-path, roslisp",
"url": null
} |
python, html, css, generator
Title: CSS preview generator (in python) Given a CSS file the script generates an HTML preview of all the CSS definitions by recursively drilling down the chain of nested classes, ids and tag names. Rules with position: absolute|fixed|sticky are wrapped into iframe elements in order to avo... | {
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quantum-mechanics, classical-mechanics, energy, schroedinger-equation, potential-energy
Is it proper to say that $E$ here is total energy?
Is this the proper classical analog? I don't need an answer, but a hint would be nice. An answer is okay as well but I'm not sure it's allowed.
Why can we use the concepts potent... | {
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"tags": "quantum-mechanics, classical-mechanics, energy, schroedinger-equation, potential-e... |
general-relativity, differential-geometry, curvature, spacetime-dimensions, degrees-of-freedom
Title: Vanishing of the Ricci tensor in higher spacetime dimensions I understand how, if the Riemann tensor is 0 in all its components, since we construct the Ricci tensor by contracting the Riemann, Ricci tensor would be 0 ... | {
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"tags": "general-relativity, differential-geometry, curvature, spacetime-dimensions, degrees... |
c++, algorithm, search, random, simulation
Regarding the big picture I won't invest that time. I'll just say that if you're trying to write generalized algorithms for C++, then be sure to spend a little while looking at <algorithm>:
http://en.cppreference.com/w/cpp/algorithm
It may provide inspiration for your design... | {
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"tags": "c++, algorithm, search, random, simulation",
"url": null
} |
cc.complexity-theory, complexity-classes, randomness
Title: Is there a problem in ZPP not yet in P? Primality was a nice problem that was in ZPP but was not known to be in P. Is there a (preferably simple to state) problem of which we can prove that it is in ZPP but we do not know whether it is in P or not?
I know ZPP... | {
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"tags": "cc.complexity-theory, complexity-classes, randomness",
"url": null
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python, performance, python-3.x, natural-language-processing, data-mining
text = "Wikipedia was launched on January 15, 2001, by Jimmy Wales and Larry Sanger.[10] Sanger coined its name,[11][12] as a portmanteau of wiki[notes 3] and 'encyclopedia'. Initially an English-language encyclopedia, versions in other language... | {
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"... |
r, rna-seq, heatmap
0.8673), .Dim = c(10L, 20L), .Dimnames = list(c("gene01", "gene02",
"gene03", "gene04", "gene05", "gene06", "gene07", "gene08", "gene09",
"gene10"), c("sample01", "sample02", "sample03", "sample04",
"sample05", "sample06", "sample07", "sample08", "sample09", "sample10",
"sample11", "sample12", ... | {
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"tags": "r, rna-seq, heatmap",
"url": null
} |
python, python-3.x, memory-optimization, bitset
value += (self._array[which_byte] & ((1 << bits_left_to_read) - 1)) << current_bit_position
return value
def set(self, position, new_value):
if new_value > ((1 << self.bits_per_index) - 1) or new_value < 0:
raise ValueEr... | {
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"url": null
} |
java, linked-list
/*
Just nullify all the references and the garbage collector will do its work.
*/
@Override
public void clear() {
size = 0;
head = null;
tail = null;
}
public static void main(final String... args) {
// Your list.
SinglyLinkedList2<Inte... | {
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thermodynamics, adiabatic, bubbles
Title: Two rising bubbles of differing temperatures Consider two bubbles rising through some medium (water, for example). Given that the two bubbles have the same initial size, pressure, and temperature but differing velocities, which bubble will be hotter/ have the greater increase ... | {
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"tags": "thermodynamics, adiabatic, bubbles",
"url": null
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java, static
The questions:
Is there any benefit from using a static block in such specific scenario?
When should I prefer to use a static block over a regular static variable initialization?
P.S. I found a similar question on SO: Why use static blocks over initializing instance variables directly?, but if you have ... | {
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analog, video, diversity
Let's assume you do that. (hint: TVs with such techniques did exist... you likely didn't have one. Early on, that was probably a "premium" feature, and when it became affordable, analog TV was on its way out.) | {
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"tags": "analog, video, diversity",
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quantum-field-theory, special-relativity
Q3: no, the speed limit is not violated. Virtual particles are just contractions of fields in the Dyson expansion of the $S$ matrix (cf. this answer of mine). Virtual particles are not particles, they are just a mathematical device that simplifies the formalism. See also Do vir... | {
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"tags": "quantum-field-theory, special-relativity",
"url": null
} |
homework-and-exercises, optics, spectroscopy, diffraction, interference
$5(1.228\times10^{-9})=\frac{0.001}{600}\times\sin\theta$ to get $\sin\theta$ and then put it back in to replace $\sin\theta$ as $\frac{4}{5}\sin\theta$. Then I went and searched up a diffraction grating to find out that the orders are not equidis... | {
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"url":... |
In your problem, we have $A = (0, 4)$, $B = (8,-2)$, $P = (8,4)$, and $a = 4$, $b = 2$. The above equations become \begin{align} 16 + r^2 &= ( h- 0 )^2 + ( k - 4 )^2 \\ 4 + r^2 &= ( h - 8 )^2 + ( k + 2 )^2 \\ r^2 &= ( h - 8 )^2 + ( k - 4 )^2 \end{align} where I won't multiply-out the terms. Instead, I'll use the last e... | {
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"lm_q2_score": 0.8376199653600372,
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"openwebmath_score": 0.9987777471542358,
"tag... |
Lemma 1 of that paper shows: All the reciprocal squares from n to infinity can be packed in a rectangle of length $l$ and width $w$ provided $$n\geq \frac{1+l}{wl}$$
With $l=1/2$ and $w=1$, this shows that we could place the square of side 1/2 in such a way that the remaining space is a rectangle of dimensions 1 x 1/2... | {
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"lm_q1_score": 0.9883127399388854,
"lm_q1q2_score": 0.8721147131894411,
"lm_q2_score": 0.8824278772763472,
"openwebmath_perplexity": 394.1163390178443,
"openwebmath_score": 0.8118759989738464,
"tags... |
microcontroller, computer-vision, machine-learning, research
Title: Role of Neuromorphic Computing and Quantum Computing in the field of Robotics and AI I asked a similar kind of question some time ago (Neuromorphic Engineering and Robotics)
Since then, many things have come to the point of revelation. A road-map for ... | {
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"tags": "microcontroller, computer-vision, machine-learning, research",
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} |
lg.learning, boolean-functions
Title: Attribute efficiently learning the relevant attributes of juntas with membership queries Can the relevant attributes of k-juntas be learned attribute efficiently given a membership query oracle? What's the best known lower bound for this problem? Juntas can be tested in an attrib... | {
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"openwebmath_score": null,
"tags": "lg.learning, boolean-functions",
"url": null
} |
Attribution 4.0 International (CC BY 4.0), European Union's Horizon 2020 research and innovation programme. . For example: for a given set of two numbers such as 3 and 1, the … In this case, it is the geometric mean, and not the arithmetic mean that is relevant. In economics, we see the percentage growth in interest ac... | {
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"lm_q1q2_score": 0.8211223644686977,
"lm_q2_score": 0.8577681049901037,
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"openwebmath_score": 0.5607569217681885,
"tags"... |
energy, work, si-units
Here is another example, with 490J which is 490N·m, it is also 490m·N and can it be described as 490 Newton's exerted over a distance of 490 meters? Would that still be equivalent?
I know I am probably confused about something simple here, but it isn't clicking, what I have read on joules don't ... | {
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"tags": "energy, work, si-units",
"url": null
} |
social, artificial-consciousness
Title: "AI will kill us all! The machines will rise up!" - what is being done to dispel such myths? Science Fiction has frequently shown AI to be a threat to the very existence of mankind. AI systems have often been the antagonists in many works of fiction, from 2001: A Space Odyssey t... | {
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"openwebmath_score": null,
"tags": "social, artificial-consciousness",
"url": null
} |
quantum-field-theory, momentum, hilbert-space, vacuum, fourier-transform
Title: Vacuum expectation value in presence of a source If a vacuum is translationally invariant i.e., $P^\mu|0\rangle=0$ or $e^{(\pm ip\cdot x)}|0\rangle=0$, we can express the the vacuum expectation value of a field as $\langle 0|\phi(x)|0\rang... | {
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"tags": "quantum-field-theory, momentum, hilbert-space, vacuum, fourier-transform",
"url"... |
c++, beginner, k-sum
Title: 2-sum problem in C++ I'm a beginner at C++; all my previous programming experience is mainly through PLCs in industrial maintenance.
I have to accept 10 integers and a target value, then print all the pairs that sum to the target.
The pairs cannot be of the same integer. For example, if th... | {
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java, android
As it is, this kinda goes against the builder pattern.
The builder should not have to call setters after creating the object.
Consider this alternative:
Eliminate these setters
Make listener and delay immutable
Let the builder pass itself to the constructor, and let OnStopScrollingObserverTask get the f... | {
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c#, object-oriented
I personally find DelayBuilder.Build<T> to be a little hack to instantiate the wanted child object of Delay<T>, and would like to know if there is a better way to do this.
I'm unsure on how good Delay<T>.ChangeList is for the overall structure of this code. Is this ok, or should I use another way, ... | {
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end linear_recurrence
#### Kevin Buzzard (Aug 15 2020 at 13:47):
field \a should be something like comm_semiring \a. I don't see any subtraction or division in alpha here.
#### Kevin Buzzard (Aug 15 2020 at 13:48):
But this looks like a great set-up in general. Did you try using it to make sure it's usable for e.g... | {
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"openwebmath_score": 0.5278056263923645,
"tags": ... |
ros, moveit, ros-melodic, ros-control, joint-trajectory-controller
Comment by Heho on 2020-06-03:
Hi Dragonslayer, I have add the yaml and launch file to my question. And the whole package is here
Comment by Dragonslayer on 2020-06-03:
Just took a quick look. If you just want to fake it I would suggest funneling back ... | {
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"tags": "ros, moveit, ros-melodic, ros-control, joint-trajectory-controller",
"url": nul... |
c++, asynchronous, thread-safety, c++20, boost
If you do have multiple threads running, then you can use a regular std::shared_mutex to get a read-write lock. The only drawback is that you shouldn't co_await while holding a lock, because depending on how the io_context schedules things, this might cause a deadlock. If... | {
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"tags": "c++, asynchronous, thread-safety, c++20, boost",
"url": null
} |
ros, raspberrypi, build-from-source
............................................................................................
Failed << std_msgs:cmake [ Exited with code 1 ]
Failed <<< std_msgs [ 4.4 seconds ]
[bui... | {
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"tags": "ros, raspberrypi, build-from-source",
"url": null
} |
java, algorithm, programming-challenge, sorting, complexity
public static void main(String[] args){
String[] str = {"H", "B", "D", "G","F", "E", "A", "C"};
sort(str);
System.out.println(Arrays.toString(str));
}
} Your algorithm is selection sort.
Selection sort has a time complexity of \$O(... | {
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"tags": "java, algorithm, programming-challenge, sorting, complexity",
"url": null
} |
c++, performance, strings, c++17
// can it be made constexrp?
template <typename ... Strings>
static auto _impl(_dynamic_string, const Strings &... strs) noexcept {
auto dynamicString = std::string();
dynamicString.reserve((std::size(strs) + ...));
... | {
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} |
is the matrix A that we saw in the leaflet on finding cofactors and determinants. To find the inverse of a 3x3 matrix, we first have to know what an inverse is. Computer programs exist that work out the inverses of matrices for you, All tip submissions are carefully reviewed before being published, Not all 3x3 matrices h... | {
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"lm_q2_score": 0.865224091265267,
"openwebmath_perplexity": 653.394062053295,
"openwebmath_score": 0.6587470769882202,
"t... |
c, windows
static inline bool fillBuffer(FILE *file, char buffer[], size_t *numBytesRead, size_t *numBytesUsed) {
*numBytesRead = fread(buffer, 1, BUFFER_SIZE, file);
*numBytesUsed = 0;
return (0 < *numBytesRead);
}
static inline bool nextCharEquals(FILE *file, char buffer[], size_t *numBytesRead, size_t ... | {
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cc.complexity-theory, circuit-complexity
existence of a path of length 2 in a given graph,
$\#_1(x)=2$,
since they require super constant number of gates depending on a bit which is not possible in $\mathsf{AC^0_{bf}}$.
The easiest example is a duplicator gate, i.e. a gate that creates $\omega(1)$ copies of its input... | {
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hilbert-space, electric-fields, group-theory, representation-theory, molecules
ii. Are the $D_{3h}$-induced degeneracies lifted as a result of:
a) applying a constant homogeneous electric field along the $C_3$ symmetry axis?
b) applying a constant homogeneous electric field along one of the $C_2$ symmetry axes?
c) ... | {
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... |
fastq, sratoolkit, fastq-dump
I played around with trying to pipe each half of the combined read into its own file, but it was difficult to set that up and generalize it for the multiple FASTQs that I wanted to fix. I didn't feel like over-engineering something, and this was straightforward enough. It worked much quic... | {
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"tags": "fastq, sratoolkit, fastq-dump",
"url": null
} |
deep-learning, lstm, statistics
X_train = np.random.rand(10,5,2)
Y_train = np.random.rand(10,2)
X_test = np.random.rand(3, 5, 2)
model = Sequential()
model.add(LSTM(64, activation='relu', input_shape=(X_train.shape[1], X_train.shape[2]), return_sequences=True))
model.add(LSTM(32, activation='relu', return_sequences=F... | {
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"tags": "deep-learning, lstm, statistics",
"url": null
} |
frequency-spectrum
A far more common description of how much energy exists in a signal at all the different frequencies within some frequency range is a two-dimensional "graphical spectrum". That is, a two-dimensional drawing of a curve where the horizontal axis is frequency (covering some frequency range) and the ver... | {
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As an additional comment: You might want to check out Green's functions, they give you a kind of general solution to some linear PDEs. Here is a wiki link: https://en.wikipedia.org/wiki/Green%27s_function
• Shouldn't those be $\mathbb{R} \times \mathbb{R}^{n-1}$ ?
– Our
Feb 15, 2018 at 6:20
• @onurcanbektas Actually n... | {
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"ta... |
python, rosbag
Of course this does require post processing the data which may not be desirable.
Originally posted by Dustin with karma: 328 on 2012-05-05
This answer was ACCEPTED on the original site
Post score: 1
Original comments
Comment by tik0 on 2016-08-29:
bag.write appends to a bagfile, but your code gets the... | {
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feature-engineering, feature-extraction, autoencoder
Title: How to improve the influence of one element of the input on the latent code in an autoencoder? I am trying to apply an autoencoder for feature extraction with the input like I=[x1,x2,x3,...,xn]. Representing the latent code after encoding as L, I want to impr... | {
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image-processing, matlab, blur
Title: Gaussian Blur In MATLAB and Connection to Image Resolution I am calling fspecial() in MATLAB to create a Guassian blur of an image.
For example,
%Create Gaussian Filter
G = fspecial('gaussian', [5 5], 2);
% Blur Image
blurredImage = imfilter(nonBlurredImage,G,'same') | {
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python, python-3.x, strings, formatting, web-scraping
For errors, perhaps consider printing the error to stderr and returning an error code so your script is a bit easier to interface with from the CLI.
Check out PEP8. Your formmating isn't too bad, but you have some long lines. PEP8 will force good formatting habits ... | {
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} |
python, performance, python-3.x, web-scraping, lxml
sorted the header fields so that the product_id goes first and the images at the end
improved some of the xpaths
added a retry() function which recursively tries to get a specific link
Concerns
Unfortunately, I didn't have the necessary time to go through Scrapy and... | {
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![cube.png][1]
[Added by O'Rourke:] Just to make Yoav's construction more explicit, here is how two triangles and a parallelogram fit together to form a $1 \times 1$ square:
[Added by Kallus:] Here's an illustration of a construction similar to Fedja's construction but with only five pieces. The first figure is the $... | {
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"tag... |
robot-localization, raspberry-pi, ros-noetic, ekf-localization-node, ekf-localization
I think the above might change something if you do the following
odom_frame: imu_link
base_link_frame: base_link # ロボットのベースリンクのフレーム名。
world_frame: imu_link # 通常は odom を使用。
In the first place, robot_localization (Kalman filter) with ... | {
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ros
Failed to find rosdep libtiff for package pcl_tutorials on OS:ubuntu version:natty
[ rosmake ] rosdep install failed: Rosdep install failed
tim@Linux-laptop-1:~/ros_workspace/pcl_tutorials$
======
Any suggestions?
I did also trie... | {
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matlab, discrete-signals, noise, snr
Where std represents the total standard deviation of the noise.
Then the noise can be added to your signal simply using
y = x + noise
Next be aware that the total power as a white noise and the square of the standard deviation std in whatever units are chosen is distributed evenly ... | {
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"tags": "matlab, discrete-signals, noise, snr",
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quantum-mechanics, symmetry, galilean-relativity
$$ (\Psi_{\mathbf{p},t},\Phi_{\mathbf{x},t}) = (2\pi \hbar)^{-3/2} \exp(-i \mathbf{p}\cdot\mathbf{x}/\hbar) $$
This equation is certainly true at $t=0$ and I assume it is also valid at time $t$ because it follows from properties of translations at a fixed time. Again us... | {
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ros, mapping, 3dmapping, ros-kinetic
I can try to record another bag file with IMU or odometry topics. I was also thinking about using /initialpose before playing my rosbag.
Thanks a lot for your help !
Comment by Yamato Ando on 2019-11-08:
@Mackou
Is it still not solved?
If you can share your rosbag, I may be able to... | {
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c#
private static IEnumerable<KpiSchedule> GetScheduleList(DateTime utcTime, PlantConfiguration plant)
{
var localDate = TimeZoneInfo.ConvertTimeFromUtc(utcTime, server.TimeZone);
List<KpiSchedule> returnList = new List<KpiSchedule>
{
plant.HourlySchedule
... | {
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javascript, node.js, angular.js
if($scope.data.selectedItems.length > 0) {
for(var i=0; i<$scope.data.selectedItems.length; i++) {
// following is inside anonymous function closure because of loop iterator scope problem
(function(i, newTagName){
// set initial status to checking... | {
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"openwebmath_score": null,
"tags": "javascript, node.js, angular.js",
"url": null
} |
turing-machines
Title: Turing Machines: What is the difference between recognizing, deciding, total, accepting, rejecting? I have seen a remark saying "we usually say that a turing machine accepts/rejects a string, while it decides a language" Is this correct?
As I have also seen places where we mention a Turing machi... | {
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"tags": "turing-machines",
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newtonian-mechanics, energy, lagrangian-formalism, metric-tensor, work
As far as I understand, I think there is a way to derive the 2D collision formulas using only Newton's laws. Imagine two particles with forces
$$ \vec{F}_{1} = \begin{cases}
\beta\,\vec{e}_{21} &\text{ if } |\vec{x}_{1}-\vec{x}_{2}| < D, \\
0 &\tex... | {
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"openwebmath_score": null,
"tags": "newtonian-mechanics, energy, lagrangian-formalism, metric-tensor, work",
"url": ... |
optimization, strings, haskell
mapChunks :: (ByteString -> ByteString) -> L.ByteString -> L.ByteString
mapChunks f = L.fromChunks . map f . L.toChunks
main :: IO ()
main = L.getContents >>= L.putStr . mapChunks escapeCopyBytea
I'd expect this to be a few times slower than the C version. Nope, it is 125 times slower... | {
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} |
observational-astronomy, galactic-dynamics, gaia
One could similarly define queries for the best quality sample too. | {
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For elementary counting problems, we're usually applying the multiplication or addition principles to already established counting formulas, which themselves can be established with these principles. The more formal version of applying the multiplication principle is to provide a bijection $f:A \rightarrow B \times C$ ... | {
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"lm_q1q2_score": 0.8368144825747534,
"lm_q2_score": 0.8539127529517043,
"openwebmath_perplexity": 233.74365880704696,
"openwebmath_score": 0.7523306608200073,
"ta... |
ros, ros-kinetic, ubuntu, ikfast, openrave
Original comments
Comment by gvdhoorn on 2017-06-16:
After Hydro, I've never bothered installing OpenRAVE - using binaries or from sources. I've always just used docker/personalrobotics/ros-openrave.
Comment by gvdhoorn on 2017-06-16:
Also: see #q196753 for a question about 5... | {
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} |
homework-and-exercises, thermodynamics, ideal-gas
Title: Deriving simple equation for volume and pressure, adiabatic exponent
I have
$$VT^\frac{f}{2}=\text{constant}\tag1$$
and
$$V^{\gamma}P=\text{constant}.\tag2$$
Where $V=\text{volume}, \ P=\text{pressure} , \ T=\text{temperature},$
$f=\text{number of degrees of f... | {
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"tags": "homework-and-exercises, thermodynamics, ideal-gas",
"url": null
} |
ros, robot
Title: Is ROS just a simulator on Ubuntu?
Question 1:
Is ROS just a simulator on Ubuntu?
Question 2:
Is ROS a Linux plus tools(e.g. OpenCV) running inside a REAL robot? If yes, how to burn ROS into a REAL robot? Where is the development Kit?(e.g. raspberry pi)?
Originally posted by U032132 on ROS Answers ... | {
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University of Oxford. Note, for a full discussion of the Fourier Series and Fourier Transform that are the foundation of the DFT and FFT, see the Superposition Principle, Fourier Series, Fourier Transform Tutorial. Review of the Fourier Transform Blog. FFT(X) is the discrete Fourier transform (DFT) of vector X. x for >... | {
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"lm_q1_score": 0.9873750488609223,
"lm_q1q2_score": 0.833240966180046,
"lm_q2_score": 0.843895100591521,
"openwebmath_perplexity": 667.7838063531566,
"openwebmath_score": 0.855606734752655,
"tags": nul... |
c#, animation, community-challenge, xaml, simon-says
</Setter.Value>
</Setter>
<Style.Triggers>
<EventTrigger RoutedEvent="Border.MouseEnter">
<BeginStoryboard>
<Storyboard Ta... | {
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"tags": "c#, animation, community-challenge, xaml, simon-says",
"url": null
} |
quantum-mechanics, quantum-field-theory, condensed-matter, second-quantization, phonons
\end{equation}
where $l$ indexes the wave-mode ($l = -N/2 , ... , N/2$) and wavenumber: $k_l = 2\pi\ l/Na$, with $N$ the number of unit cells and $a$ the lattice constant. These are treated as operators in the Heisenberg picture, w... | {
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"tags": "quantum-mechanics, quantum-field-theory, condensed-matter, second-quantization, ph... |
fizzbuzz, cobol
WHEN WS-ML05
SET WS-IS-BUZZ TO TRUE
WHEN WS-ML03
SET WS-IS-FIZZ TO TRUE
WHEN OTHER
SET WS-IS-OTHER TO TRUE
MOVE WS-POSN TO WS-FIZZBUZZ-INT
END-EVALUATE
.
*
END PROGRAM FIZZBUZZ. | {
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"tags": "fizzbuzz, cobol",
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python, algorithm, python-2.x, integer
Title: "Largest power of two less than N" in Python def floor_log(num, base):
if num < 0:
raise ValueError("Non-negative number only.")
exponent = 0
while num > 1:
num >>= 1
exponent += 1
return base << (exponent - 1)
print floor_log(3, 2) ... | {
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} |
astrophysics, stars, supernova, stellar-evolution
1A note on initial versus present-day mass functions. The single, unbroken power law is a theoretical construct for the initial mass function. The three-part power law is a fit to data for stars as they are observed today. The calculation I did uses the latter, which i... | {
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java
return lines;
}
private static int[] getFizzBuzzArguments(String line){
String[] arguments = line.split(" ");
return getArrayOfInts(arguments);
}
private static int[] getArrayOfInts(String[] strings){
int[] ints = new int[strings.length];
for (int i = 0; i < stri... | {
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sex, evolutionary-game-theory
As for your final question,
I would therefore expect that such a mutation would spread, skewing the sex ratios away from 1:1 ... Have scenarios like the one I outlined above actually occurred in species? If not, why not?
I haven't dug through all the original literature that Jaenike (20... | {
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Theorem 26
For a convex primal problem which is feasible and has a feasible dual where strong duality holds, a primal dual pair
$(\mathbf{x}, \boldsymbol{\lambda}, \boldsymbol{\mu})$
is optimal if and only if the KKT conditions are satisfied.
1. 1.
Primal Feasibility
$\mathbf{x}$
satisfies
$\forall i\in[1,m],\ f_i(\ma... | {
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"openwebmath_score": 0.8757135272026062,
"tags": nul... |
earth, asteroids, crater, future
We have found large numbers of objects whose orbit can bring them close to Earth. Every object we have found has an orbit that misses Earth. With each new object that is located we can forecast its orbit for several centuries. However new objects are being found all the time. It is po... | {
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"tags": "earth, asteroids, crater, future",
"url": null
} |
five) — is the sum of their probabilites, ie, P(one OR five) = 1/6 + 1/6 = 2/6 = 1/3. Rolling Dice. Expected Value of a. Then P(A) = 4 52. Probability (statistics) What is the probability of getting a sum of 8 in rolling two dice? Update Cancel. Two fair dice are rolled and the sum of the points is noted. For example: ... | {
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"openwebmath_score": 0.662230193614959... |
meteorology, temperature
In the synoptic chart below, for 29 December 2019, there is high pressure systems to the west and east of Australia and low pressure system to the south. The effect of these systems is to draw cold air from the south over Perth and the south west of Australia and hot air from the central and n... | {
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"tags": "meteorology, temperature",
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} |
python, performance, queue
Title: Implementation of a deque using an array in Python 3 I created this double-ended queue using list. I supported the standard operations such as push, pop, peek for the left side and the right side.
I used an integer mid to track the midpoint of the deque. This way elements can be inser... | {
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Congruence class mod 17 (written as smallest positive integer) Congruence class mod 17 (written as smallest magnitude integer) Discrete logarithm to base 3, written as integer mod 16 Is it a primitive root mod 17 (if and only if the discrete log is relatively prime to 16)? Is it a quadratic residue or nonresidue mod 17... | {
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"openwebmath_score": 0.8472821116447449,
"tags": nu... |
The implication $1 \Longrightarrow 2$ is clear. For $5 \Longrightarrow 2$, see Lemma 1 in this previous post on countable network. The implication $2 \Longrightarrow 3$ is left as an exercise. To see $3 \Longrightarrow 4$, let $K$ be a compact subset of $X$. The property of having a $G_\delta$-diagonal is hereditary. T... | {
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"lm_q1_score": 0.9790357561234474,
"lm_q1q2_score": 0.8282078861421961,
"lm_q2_score": 0.8459424295406088,
"openwebmath_perplexity": 474.6879401861211,
"openwebmath_score": 1.0000089406967163,
"tags": ... |
ros, object-recognition
Note, selecting 'ros-fuerte-object-recognition-tod' for regex 'ros-fuerte-object-*'
Note, selecting 'ros-fuerte-object-recognition-transparent-objects' for regex 'ros-fuerte-object-*'
ros-fuerte-object-manipulation is already the newest version.
ros-fuerte-object-recognition-core i... | {
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"tags": "ros, object-recognition",
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} |
machine-learning, graphs, distributed
SNAP library from Jure Leskovec group at Stanford which is originally in C++ but also has a Python API (please check if you need to use C++ API or Python does the job you want to do). Using snap you can do many things on massive networks without any special knowledge of Big Data ... | {
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"url": null
} |
java
Now, about the algorithm, your code will scan the result as many as 26 times. In reality, this will happen fast, and there's no pressing need to change that, but it could be faster, but would require a little work to get it right.
If you reverse the logic, and just iterate through each characters in the String on... | {
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If initialization is performed with the constant $$2.5$$, then the higher solution is obtained.
• If you take the two quadratic polynomials as initialization for the BVP solver, you get again two solutions. x=linspace(0,1,10); u = a(1)*x+a(2)*t^2; v=a(1)+2*a(2)*x; init=bvpinit(x,[u,v]); – LutzL Apr 26 at 15:46
• Yes, ... | {
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"openwebmath_score": 0.7154315114021301,
"tags... |
electric-circuits, electric-current
What if we replace the battery with an AC voltage source? Now when the voltage becomes negative, both the electric field and the current (and therefore the magnetic field) reverse their direction. These changes cancel each other out and the Poynting vector still points to the righ... | {
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evolution, book-recommendation
Think about a knock-out mutation. Such mutation will decrease by half the concentration of protein the gene in question produce in heterozygotes. Imagine, the concentration of proteins in the wildtype homozygote was 3 (see above graph). The rate of reaction of this homozygote is therefor... | {
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} |
food-chemistry, salt
Phosphate of soda (Sodium phosphate, $\ce{Na3PO4}$) - was sold under the name of tasteless salt
Sulfate of lime (calcium sulfate, $\ce{CaSO4}$) - it was named agustine because this salt was considered to have no taste. It was considered to mix with acids to form tasteless salts
Phosphates of baryt... | {
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"openwebmath_score": null,
"tags": "food-chemistry, salt",
"url": null
} |
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