text stringlengths 1 1.11k | source dict |
|---|---|
the... Out of 733 pages code Generation Generate CUDA® code for FPGA and ASIC designs using Coder™! 3\sqrt { -6 } \cdot 5 \sqrt { -2 } $. Resource on the web following product:$ $Step 1 ’ S online imaginary number Calculator tool makes calculation. Even function is pure real get imaginary, while 5i is pure imaginary (!... | {
"domain": "livelovelocks.com",
"id": null,
"lm_label": "1. Yes\n2. Yes\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9736446425653806,
"lm_q1q2_score": 0.8332948912377289,
"lm_q2_score": 0.855851154320682,
"openwebmath_perplexity": 971.1354126985367,
"openwebmath_score": 0.5506659150123596,
"... |
c#, strings, converting
Dimension architecturalDimension = new Dimension("1'2 3/16\"");
// act
Dimension subtractionDimension = inchDimension - architecturalDimension;
Dimension additionDimension = inchDimension + architecturalDimension;
// assert
subtractionDimension.Feet.Sho... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c#, strings, converting",
"url": null
} |
general-relativity, black-holes
Now some analysis
The quantity $g_{\mu\nu} \dot{x}^\mu \dot{x}^\nu$ is the inner product of the tangent to the worldline with itself. In particular, a particle's $4$-velocity $u^\mu$ obeys
$$ g_{\mu\nu} u^\mu u^\nu = g_{\mu\nu} \dot{x}^\mu \dot{x}^\nu \Big(\frac{\mathrm{d}\tau}{\mathrm{... | {
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"id": 32678,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "general-relativity, black-holes",
"url": null
} |
newtonian-mechanics, kinematics, coordinate-systems
As you probably deduced, the acceleration is a negative constant during the first part (during the free fall of the ball, where net force is negative is due to gravity). However, the sudden positive acceleration during the second part is because the ball strikes the ... | {
"domain": "physics.stackexchange",
"id": 59128,
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"openwebmath_score": null,
"tags": "newtonian-mechanics, kinematics, coordinate-systems",
"url": null
} |
organic-chemistry, inorganic-chemistry, elemental-analysis
First, dissolve the protein samples in say ethanol or other flammable solvents.
Next, place it into an alcohol lamp with a wick composed preferably from glass fiber, but one may be able to employ woven cotton or a cotton string.
Lastly, light the lamp and plac... | {
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"openwebmath_score": null,
"tags": "organic-chemistry, inorganic-chemistry, elemental-analysis",
"url": null
} |
# In how many ways can 4 cards be drawn randomly from a pack of 52 cards such that there are at least 2 kings and at least 1 queen among them?
So i tried this question in two ways
(i)In my first method I made different possible arrangements and then find the number of ways
So, the different possibilities are:
2 kin... | {
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"id": null,
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"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9736446463891304,
"lm_q1q2_score": 0.840636623921923,
"lm_q2_score": 0.8633916152464017,
"openwebmath_perplexity": 247.09401755711824,
"openwebmath_score": 0.6315335035324097,
"tag... |
ros, hokuyo-node
Title: Hokuyo_node Dynamically Reconfigure max_range min_range
Dear all.
I just wondering whether it might be possible to dynamically reconfigure the parameters "max_range" and "min_range" of the hokuyo_node.
As far as I can see in the documentation http://wiki.ros.org/hokuyo_node
the previous param... | {
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"id": 15561,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros, hokuyo-node",
"url": null
} |
SFdS for the given vector field F and the oriented surface S. A tautology is a compound statement S that is true for all pos-sible combinations of truth values of the component statements that are part of S. A tautology is a logical compound statement formed by two or more individual statement which is true for all the... | {
"domain": "chiavette-usb-personalizzate.it",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.970239907775086,
"lm_q1q2_score": 0.8545844878495524,
"lm_q2_score": 0.8807970904940926,
"openwebmath_perplexity": 467.3208727966209,
"openwebmath_score": 0.5699777... |
python, python-3.x, object-oriented, gui, tkinter
print('ran submit_action()\n')
def scalar(self, factor):
"""Runs logic that changes circle size in response to
slider and remeasures & shifts existing points"""
self.getplot_circ(factor)
if self.checkvar.get() == 0 and self.cross:
... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, python-3.x, object-oriented, gui, tkinter",
"url": null
} |
c++, c++11, pointers
Instead it is
auto bar_res = maybe_if(ptr, bar);
auto baz_res = maybe_if(bar_res, baz);
// etc...
bool last_res = maybe_if(baz_res, last);
return last_res;
Doing that would resolve points 3-5, however you are explicitly non-owning
Don't use std::function
Your worry that extra overhead will occur ... | {
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"openwebmath_score": null,
"tags": "c++, c++11, pointers",
"url": null
} |
rust, union-find
// We don't have to do anything if this is the case.
// Also, if we didn't check this, we'd panic below because
// we'd attempt two mutable borrowings of the same RefCell.
if x_root_idx == y_root_idx {
return Some(false);
}
let (mut x_root, mut y_ro... | {
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"openwebmath_score": null,
"tags": "rust, union-find",
"url": null
} |
waves, intensity
But I can't find a way that would help me in deriving this expression.
All related suggestions are appreciated. Sound wave velocity:
$$
v_s = \sqrt{\frac{B}{\rho}};\tag{1}
$$
where $\rho$ the mass density of medium, $B$ is the boulk modulous defined as ratio of pressure change $\Delta P$ with percenta... | {
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"openwebmath_score": null,
"tags": "waves, intensity",
"url": null
} |
python, python-3.x, regex, portability, utf-8
graph = ltl2baParser.parse(match.group(1))
if args.output_graph is not None:
graph.save_render(args.output_graph.name, args.graph)
args.output_graph.close()
elif args.graph:
graph.show()
... | {
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"id": 26808,
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"lm_name": null,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, python-3.x, regex, portability, utf-8",
"url": null
} |
cell-biology, proteins
Title: Protein degeneration/excretion in cell If I inject a dose of GFP or some other types of protein into a long-living human cell like brain neuron cell. Will these proteins being degenerated or excreted over time? This paper gives a half-life of 26 hours for wild-type GFP expressed in mouse ... | {
"domain": "biology.stackexchange",
"id": 6312,
"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": "cell-biology, proteins",
"url": null
} |
#### Theorem 40 (Poisson Merging)
If
$N_{1,t}$
and
$N_{2,t}$
are independent Poisson Processes with rates
$\lambda_1$
and
$\lambda_2$
, then
$N_{1, t} + N_{2,t}$
is a Poisson Process with rate
$\lambda_1+\lambda_2$
.
#### Theorem 41 (Poisson Splitting)
Let
$p(x)$
be a probability distribution and
$N_t$
be a rate
$\l... | {
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"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.989986427013312,
"lm_q1q2_score": 0.8023631257620042,
"lm_q2_score": 0.8104789155369048,
"openwebmath_perplexity": 1274.265893905362,
"openwebmath_score": 0.868481457233429,
"tags": null,... |
javascript, animation, svg, d3.js
.each("end", endAnimationfunc)
}, 5);
setInterval(function(){
if(l<path1.getTotalLength()){
l=l+1
}
else{
l = 1
}
},10)
var endAnimationfunc = function(){
d3.select(this)
.transition()
.attr('x2', function(){return path1.getPointAt... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "javascript, animation, svg, d3.js",
"url": null
} |
pandas, dataframe, indexing
Mango COLOR
Red 1
Green 0
WEIGHT
Heavy 0
Light 1
I tried different variations of set_index, groupby() and unstack() on the dataframe in combination with ['ID]'.count() and .size(), b... | {
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"id": 5028,
"lm_label": null,
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"lm_q1_score": null,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "pandas, dataframe, indexing",
"url": null
} |
c++, algorithm, c++11, computational-geometry
//incase the angle goes into the negative we always want to find the counterclockwise
//angle from x-axis centered at the selected point
if(angle<0){
angle = 360+angle;
}
return angle;
}
//implementation of Jarvis's March ("Gift Wrapping")
void co... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c++, algorithm, c++11, computational-geometry",
"url": null
} |
localization, navigation
Title: how to localize my robot
Hi all,
I used gmapping to obtain the map.Now i want to localize my robot in this map,so that i can apply my path planning algorithm(A*).someone please help me to do this. | {
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "localization, navigation",
"url": null
} |
java, benchmarking
/**
* Summarize the time-progression of the run time for each iteration, in
* order of execution (in milliseconds).
* <p>
* An example helps. If there are 200 results, and a request for 10
* zones, then return 10 double values representing the average tim... | {
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"openwebmath_score": null,
"tags": "java, benchmarking",
"url": null
} |
ros, callback, ros-indigo, time
In file included from /opt/ros/indigo/include/message_filters/time_sequencer.h:41:0,
from /home/piraka9011/catkin_ws/src/jackal_bsc/src/delay_node.cpp:4:
/opt/ros/indigo/include/message_filters/simple_filter.h:96:99: note: mismatched types ‘const boost::function<void(... | {
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"tags": "ros, callback, ros-indigo, time",
"url": null
} |
java, algorithm, sudoku
public void set(int x, int y, int value) {
matrix[y][x] = value;
}
public int getDimension() {
return matrix.length;
}
public boolean isValid() {
int dimension = getDimension();
int minisquareDimension = getMinisquareDimension();
IntSet[... | {
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"openwebmath_score": null,
"tags": "java, algorithm, sudoku",
"url": null
} |
acid-base, redox, identification, salt
Title: Why do we need weak or strong acids to displace the anions of other weak acids from salts? I have already looked at Why does a strong acid displace salt of weak acid? but I couldn't understand the answer and the analogy there. And I mean the above question in the following... | {
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"id": 15032,
"lm_label": null,
"lm_name": null,
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "acid-base, redox, identification, salt",
"url": null
} |
reinforcement-learning
What becomes harder is iterating through the state space. That rules out two simple approaches: | {
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• How can I interpret the commas in your formula? It looks like the first comma can be ignored while the second means "such that"? May 24 at 0:21
• Well, commas are just for clarity and are not required (or even allowed) in first order logic. So just ignore them!
– Ruy
May 24 at 0:23
• But then I need help parsing the ... | {
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"lm_q1_score": 0.9752018434079934,
"lm_q1q2_score": 0.8018003578394622,
"lm_q2_score": 0.8221891327004132,
"openwebmath_perplexity": 200.3646959893005,
"openwebmath_score": 0.9476346373558044,
"tag... |
c++, template, polymorphism
return val.__c;
}
public:
template <class T> T get() const {
return get_(static_cast<T const*>(nullptr));
}
where bad_multitype_access would be something along the lines of:
class bad_multitype_access : std::logic_error {
public:
bad_multitype_access(std::type_info... | {
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"tags": "c++, template, polymorphism",
"url": null
} |
Next $108 million: royalties/sales ratio = 9/108 = 1/12 = 20/240 Noticed that I rewrote both with the SAME DENOMINATOR. So, now all we need to is determine the percent change from 36 to 20. To do so, we could use some more lengthy calculations [e.g., 100(36-20)/36] HOWEVER, notice that, if we start at 36, a 50% decreas... | {
"domain": "gmatclub.com",
"id": null,
"lm_label": "1. Yes\n2. Yes\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 1,
"lm_q1q2_score": 0.870597270087091,
"lm_q2_score": 0.870597270087091,
"openwebmath_perplexity": 3873.8104959385996,
"openwebmath_score": 0.6309756636619568,
"tags": null,
"url": "h... |
quantum-gate, textbook-and-exercises, terminology-and-notation
I'm new, so I'm trying to understand whether or not this notation will work mathematically when combining gates.
It works out fine when using matrix math, so I'm wondering if something like this is a limitation of Dirac notation. Dirac notations, as far as... | {
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"id": 2807,
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"openwebmath_score": null,
"tags": "quantum-gate, textbook-and-exercises, terminology-and-notation",
"url": ... |
algorithms, sorting, efficiency
Another idea was to compare the current, preceeding and following dates - but this has seemingly expensive weaknesses. Although rare it's conceptually possible that several illegal operations can immediately follow each other, meaning that I have to compare some arbitrary higher number ... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "algorithms, sorting, efficiency",
"url": null
} |
java, beginner, mvc, javafx, crud
/** Populates fields with the passed instance. */
public void setFields() {
final int maxAge = 100;
final int maxWeight = 999;
final int maxTrainingLevel = 5;
animalName.setText(selectedAnimal.getName());
animalType.setText(selectedAnimal.ge... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, beginner, mvc, javafx, crud",
"url": null
} |
c#, object-oriented, inheritance, role-playing-game
class PhysicalDamage : ItemComponent
{
public int Slashing { get; set; }
public int Bashing { get; set; }
public int Piercing { get; set; }
public override string ToString()
{
return String.Format("It does {0}/{1}/{2} physical damage.", S... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c#, object-oriented, inheritance, role-playing-game",
"url": null
} |
c#, algorithm, array, jagged-array
//#2.1 If yes repeat step 1 and 2
while (true)
{
//#1 Increment both column and row indices
rowIndex++; columnIndex++;
//#2 Check whether there is a number under the new indices
if (rowIndex >= input.Length ||
... | {
"domain": "codereview.stackexchange",
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c#, algorithm, array, jagged-array",
"url": null
} |
phase, dtft, dirac-delta-impulse
\begin{equation}X(\omega)= \sum_{n=-\infty}^{\infty}e^{j\omega_{0}n}e^{-j\omega n} = \sum_{n=-\infty}^{\infty}e^{j(\omega_{0}-\omega)n} \propto \delta(\omega_{0}-\omega)\end{equation}
Now, let's apply a phase shift to the time domain signal. We get
\begin{equation}x'[n] = e^{j(\omega_{... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "phase, dtft, dirac-delta-impulse",
"url": null
} |
software, bluetooth
#Defining UART channel and Baud Rate
uart = UART(0, 38400)
while True:
command = input("COMM>")
uart.write(command)
utime.sleep(1) # to make sure that HC-05 has time to respond
print("checking", uart.any())
if uart.any(): #Checking if data available
data=uart... | {
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"id": 2654,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "software, bluetooth",
"url": null
} |
java, mysql, json, controller, servlets
DefaultDataSourceCreator.java
package net.coderodde.web.db.fun.controllers;
import com.mysql.jdbc.jdbc2.optional.MysqlDataSource;
public class DefaultDataSourceCreator {
public static MysqlDataSource create() {
MysqlDataSource mysql =
DBUtils.getMy... | {
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"tags": "java, mysql, json, controller, servlets",
"url": null
} |
c++, c, algorithm
for (int j = 0; j < nodes[i].degree; j++) printf("%d ", nodes[i].adjList[j]);
printf("\n");
} for (int i = 0; i < 30; i++) printf("-");
printf ("\n");
} It's still closer to C than C++ IMO.
First of two non C++ issues: | {
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"tags": "c++, c, algorithm",
"url": null
} |
(JSD) as a smoothed and. KL Divergence（KL散度） 5. Google suggested “Lower and Upper Bounds for Approximation of the Kullback-Leibler Divergence Between Gaussian Mixture Models” by Durrien, Thiran, and Kelly (2012) and “Approximating the Kullback Leibler divergence between Gaussian Mixture Models” by Hershey and Olsen (20... | {
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"openwebmath_score": 0.8982875347137451,
"tags": ... |
quantum-gate, quantum-operation, fidelity, state-tomography, quantum-process-tomography
In reality, people usually assume known input states and measurement operators (and even assume that they are perfect) to constrain $X$, even though it is logically inconsistent. For example, if your state preparation is bad, and y... | {
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c++, linked-list
template <class T>
void SingleLinkedLists<T>::display() const {
Node* newNode = head;
while(newNode != nullptr) {
std::cout << newNode->data << "\t";
newNode = newNode->next;
}
}
template <class T>
void SingleLinkedLists<T>::insertHead(const T& theData) {
Node* newNode... | {
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# How can I prove it to be a well-defined binary operation?
Let $G=\{x \in \mathbb{R}\mid 0 \leq x < 1 \}$ and for $x,y \in G$ let $x\star y$ be the fractional part of $x+y$ (i.e $x\star y=x+y-\lfloor x+y \rfloor$ where $\lfloor a \rfloor$ is the greatest integer less than or equal to a). Then, how do I prove that $\s... | {
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The second root is the second point where the curve cuts the x-axis, which is -1.
If you liked the question and explanation, please do hit the kudos button
Intern
Joined: 30 May 2017
Posts: 16
Re: If the curve described by the equation y = x2 + bx + c cuts the x-axis [#permalink]
### Show Tags
02 Jan 2019, 10:34
Wh... | {
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"openwebmath_score": 0.697464108467102,
"tags": nul... |
java
public void addB(B newVal) {
if(values != null && !values.isEmpty()) {
values.add(newVal);
}
else {
values = new ArrayList<>();
values.add(newVal);
}
}
}
Then, the actual call of the logic is simple and clean, no matter whether you use a loop or a stream:
lis... | {
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"tags": "java",
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atmosphere, climate-change, greenhouse-gases
Source: gisgeography.com
Source: science of doom | {
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"tags": "atmosphere, climate-change, greenhouse-gases",
"url": null
} |
phylogeny, phylogenetics, haplotypes
Title: Generate an appropriate output from DNaSP6 to Arlequin program I am performing a haplotype and nucleotide diversity analysis of my Sanger sequences (from Watermelon mosaic virus coat protein region) using the Arlequin program. My aim is to see the probability that two random... | {
"domain": "bioinformatics.stackexchange",
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This gives us the following.
found 31875000 in 0.00186085700989 seconds
Thus, the Cython version is roughly 56 times faster than the Python code. | {
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Therefore, we get,
\text{XOR}(n) = \left. \begin{cases} n, & \text{if } n\%4=0\\ 1, & \text{if } n\%4=1\\ n+1, & \text{if } n\%4=2\\0, & \text{if } n\%4=3\end{cases} \right\}
Therefore, based on the above observations, the algorithm for this problem is as follows: For each building, compute the XOR value using the ab... | {
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"lm_q2_score": 0.8152324938410784,
"openwebmath_perplexity": 1621.370818490766,
"openwebmath_score": 0.7930212616920471,
"tags": n... |
solid-state-physics, phonons
Title: GaAs Phonon Dispersion Spectrum understanding I have a beginner question on solid state physics:
GaAs has phonon dispersion spectrum that looks so: | {
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"tags": "solid-state-physics, phonons",
"url": null
} |
operators, mathematical-physics, path-integral, regularization, functional-determinants
Let there be given a self-adjoint Hamiltonian operator
$$H~=~H^{(0)}+V, \tag{1}$$
with non-degenerate discrete energy levels $(\lambda_n)_{n\in\mathbb{N}}$, bounded from below, and not zero. Similarly, the free Hamiltonian $H^{(0)}... | {
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ATA=X Λn XT A A X Λn X
(4)
where X= X1 Xh , Xj = x j , 1 x j , n j Xj x j , 1 x j , n j X X1 Xh and ΛnΛn is the nn-by-nn diagonal matrix with λ1λ1 in the first n1n1 slots, λ2λ2 in the next n2n2 slots, etc. Similarly
AAT=Y Λm YT A A Y Λm Y
(5)
where Y= Y1 Yh , Yj = y j , 1 y j , n j Yj y j , 1 y j , n j Y ... | {
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"openwebmath_score": 0.6588999032974243,
"tags": null,... |
with regard to its manufacturing function are! Equipment need matrix is a python library used for scientific computing home screen of second. With coefficients taken from the vector perform matrix multiplication is n't possible an. A program that performs matrix multiplication, dot product, that produces a single matri... | {
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"lm_q2_score": 0.8558511451289037,
"openwebmath_perplexity": 462.3679173763545,
"openwebmath_score": 0.8524981737136841,
"... |
The product of $$6·2·3=36$$ and $$\sqrt{36}=6$$ (third, fourth and fifth digit) is a perfect square.
I've been trying for a while now but haven't been able to come up with anything interesting.
I tried to approach the problem from a pigeon hole perspective, trying to prove that the number of perfect squares that can ... | {
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"lm_q1_score": 0.9759464513032269,
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"lm_q2_score": 0.8244619306896955,
"openwebmath_perplexity": 173.9810171875193,
"openwebmath_score": 0.7753369808197021,
"tag... |
java
} | {
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"tags": "java",
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} |
cpu-cache, memory-access, performance
L1 Cache hit: 90% & Time: 1ns
L2 and RAM has hit rate 10% out of which 95% which is 9.5% in total
L2 Cache hit: 9.5% & Time 20ns
RAM has hit rate 5% of 10% = 0.5%
RAM hit: 0.5% & Time 220ns
Formula Avg Memory Access Time
AMAT = L1_hit * L1_T + L2_hit * L2_T + RAM_hit * RAM_T
... | {
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"tags": "cpu-cache, memory-access, performance",
"url": null
} |
gas-laws, phase, elements
Since the filament is so hot, it radiates heat rapidly and cools quickly, so is visible only as a flash. If you were to vaporize a few kg of W, it would be visible longer as a blindingly-bright object.
BTW, notice the film on the "dead" lamp: it is condensed W. If the lamp has a vacuum, the f... | {
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16\text{ }\,\text{and }x\ge \,\,0-2\text{ }\\x\le 14\text{ }\,\text{and }x\ge -2\\\\\{x:-2\le x\le 14\}\text{ or }\left[ {-2,14} \right]\end{array}$$. We can check our answer by trying random numbers in our solution (like $$x=2$$) in the original inequality (which works). In these examples, we are taking the cube root ... | {
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"lm_q2_score": 0.8438951104066293,
"openwebmath_perplexity": 1305.2508097807176,
"openwebmath_score": 0.8845308423042297,
"... |
general-relativity, reference-frames, time-dilation
Title: Time Dilation Properties I've read up on time dilation and how gravitational/kinematic time dilation work but I have not received a clear answer on how the two work together.
If you are observing something traveling at a speed that causes one second to dilate ... | {
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"tags": "general-relativity, reference-frames, time-dilation",
"url": null
} |
quantum-mechanics, angular-momentum
Why can't $\mathbf{L}$ be parallel to the applied magnetic field? I am not getting the reason showed by the author. Can anyone help me conceive the reason stated above? As the other answers have said, the true reason for this result is that the angular momentum of a quantum system c... | {
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which is the same you got.
Note that an easy way to eliminate a $-$ sign when you encounter it in an equation is to square it on both sides. There is no hard-and-fast rule to deal with such situations.
• Ah I see, yeah I think I got confused somewhere else then. But in general, it is ok then to square the radical to ... | {
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"openwebmath_score": 0.8297677040100098,
"ta... |
#### The Iteration
The base of the iteration is a real or complex number $z$ that stays fixed throughout the iteration. Start with $y_0 = 1$ and simply iterate $$y_{k+1} = z^{y_k}$$ If $z$ is too large, then $y_k$ will quickly blow up. As we saw in my last blog, this happens for real $z$ larger than $\mbox{e}^{1/\mbox... | {
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"lm_q2_score": 0.8221891327004133,
"openwebmath_perplexity": 1461.061169444536,
"openwebmath_score": 0.6773971915245056,
"tags": n... |
Normal Vector A B sin sin-1 |A×B| |A| |B|. Contents 1. The given straight line and the found normal vectors are shown in the Figure 1. This calculator also calculates the magnitude of the original vector and the angle of the vector. We had to. The brick surface only has a single normal vector, and as a result the surfa... | {
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"lm_q1_score": 0.986151391819461,
"lm_q1q2_score": 0.8039426562443741,
"lm_q2_score": 0.8152324915965391,
"openwebmath_perplexity": 417.6234340594931,
"openwebmath_score": 0.8306130170822144,
"tags":... |
quantum-mechanics, quantum-field-theory
In light of this, The wave function you talked about corresponding to the electron is not the fermionic field I mentioned above. The fermion field can be excited either to produce or destroy certain fermions like electrons and positrons.
As far as how deep the oscillator analog... | {
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quantum-field-theory, soft-question, renormalization
Is there something I have misunderstood, or is that another case of historical contingency clouding the terminology. Surely "reparameterization" would be a better name? Apparently, the term renormalization has been coined by several people in the 40's, as you can re... | {
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"tags": "quantum-field-theory, soft-question, renormalization",
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homework-and-exercises, relativity
Title: Showing that a given matrix provides the desired Lorentz transformation I am working on problem 5.12 in Halzen and Martin’s Quarks and Leptons. We are asked to show that the matrix
$$ S = 1 - \frac{i}{4} \sigma_{\mu \nu} \varepsilon^{\mu \nu} $$
represents the infinitesimal Lo... | {
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"openwebmath_score": null,
"tags": "homework-and-exercises, relativity",
"url": null
} |
quantum-mechanics, rigid-body-dynamics
Title: Free precession of rigid body from the quantum mechanical point of view Suppose we have a triatomic molecole that has an inertia tensor of a symmetric top (two principal moments of inertia are equal, and the third is different). Therefore, if the triatomic molecole has no ... | {
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"tags": "quantum-mechanics, rigid-body-dynamics",
"url": null
} |
complexity-theory, computability, turing-machines
Suppose that $N_{k-1} = \{a,\ldots,b\}$. If $b = n$, we can stop. Otherwise, go over all neighbors of the vertices in $N_{k-1}$, and record the minimal and maximal indices $c,d$ encountered among those larger than $b$. Verify that $c = b+1$. Now go over all $e \in \{c,... | {
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"tags": "complexity-theory, computability, turing-machines",
"url": null
} |
java, object-oriented, mvc, swing, hangman
/** Logic - Deals with the logic aspect of Hangman */
public class Logic {
private GUI gui;
private Information information;
private WordReader wordReader;
/** Logic constructor */
public Logic(){
wordReader = new WordReader();
information... | {
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"tags": "java, object-oriented, mvc, swing, hangman",
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Since we know that the derivative of $$f^{g(x)}$$ is $$\log(f)\cdot f^{g(x)}\cdot g'(x)$$ and the derivative of $$f(x)^g$$ is $$g\cdot f(x)^{g-1}\cdot f'(x)$$, we get $$h'(x)=\underbrace{\log(f(x))\cdot f(x)^{g(x)}\cdot g'(x)}_{\text{Derivative treating f as constant}}+\underbrace{g(x)\cdot f(x)^{g(x)-1}\cdot f'(x)}_{\... | {
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"lm_q1_score": 0.9763105307684549,
"lm_q1q2_score": 0.8198411195981915,
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"openwebmath_perplexity": 197.3303585016941,
"openwebmath_score": 0.9748504161834717,
"tag... |
up in the complex number z right over there. This video shows how to work out the magnitude and phase of a complex number. Complex Numbers via Matlab : Examples of how complex numbers and complex exponentials can be handled by MATLAB. Complex numbers in the angle notation or phasor (polar coordinates r, θ) may you writ... | {
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"lm_q1_score": 0.9664104962847373,
"lm_q1q2_score": 0.8010951692235778,
"lm_q2_score": 0.8289388125473629,
"openwebmath_perplexity": 737.8790262700554,
"openwebmath_score": 0.6594741940498352,
"tags": nu... |
electrons, electronic-band-theory, metals, thermoelectricity
Title: Why ZrO2 reservoir is useful for reducing tungsten's work function in Schottky field-emitters? Schottky emitters (field-assisted thermionic emitters) use a tungsten filament for thermionic emission, as well as barrier lowering electric field to reduce... | {
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"tags": "electrons, electronic-band-theory, metals, thermoelectricity",
"url": null
} |
homework-and-exercises, forces, torque, gyroscopes, applied-physics
Title: Stability of differently shaped gyroscopes 1) Would it be correct to state the following: "The longer the radial distance (the distance from the center of the gyro disc) and the lower the height from ground to disc, the greater the angular mome... | {
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"tags": "homework-and-exercises, forces, torque, gyroscopes, applied-physics",
"url": nul... |
human-biology, nutrition, digestive-system, digestion, milk
Title: Are casein proteins in UHT milk digestable for infants or toddlers? As a novice cheesemaker, I have read that Ultra High Temperature prosessed milk is unsuitable for cheesemaking, as casein proteins are denatured and cannot be curdled with rennet.
I ha... | {
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where in the last step we used the convexity of $$g$$. This tells us precisely that $$h=g\circ f$$ is convex.
### Exercise 1b)¶
Exercise
Use the previous result to show that the function
$h\colon \mathbb R^n\to \mathbb R,\qquad x\mapsto \exp\left(\beta x^TQx\right),$
where $$\beta>0$$ and $$Q$$ symmetric positive ... | {
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"openwebmath_score": 0.9958913326263428,
"tags":... |
pressure, statics
Title: Do flexible water hose cause pressure drop with constant flow?
My dad has a tub by a lake.
He has a water pump in the lake to pump up water into a tub.
He claims that if he use a flexible hose, the pressure in the hose at the top will be lower than if he use a rigid hose. The pump has to keep... | {
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"openwebmath_score": null,
"tags": "pressure, statics",
"url": null
} |
pressure, stress-strain, structural-beam
$$2\sigma_{rr}(r) + r\sigma_{rr}'(r) - 2\sigma_{tt} = 0$$
Hooke's law
Applying Hooke's law for isotropic materials we get
$$\epsilon_{rr} = \frac{1}{E}(\sigma_{rr} - 2 \nu \sigma_{tt})$$
$$\epsilon_{tt} = \frac{1}{E}(\sigma_{tt} - \nu (\sigma_{rr} + \sigma_{tt}))$$
where $E$ is... | {
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"tags": "pressure, stress-strain, structural-beam",
"url": null
} |
newtonian-mechanics, fluid-dynamics, rotational-dynamics
Title: Speed of ejection of liquid from revolving tank Consider a cylindrical tank filled with a liquid. Suppose it has an orifice somewhere at the bottom and the liquid is spurting out of this hole at a certain velocity. Now, if you rotated this cylinder about ... | {
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"tags": "newtonian-mechanics, fluid-dynamics, rotational-dynamics",
"url": null
} |
Part 2:
(a) Chance of getting chicken: 1/3, chance of getting apple pie: 1/2, chance of getting coffee: 1/2. So the total chance is the product of the individual probabilities.
Repeat with the rest
3. Originally Posted by Last_Singularity
Part 1:
Each of the main courses has a $1/3$ probability of being chosen. Each ... | {
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"lm_q1_score": 0.9773707999669627,
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"lm_q2_score": 0.8221891261650248,
"openwebmath_perplexity": 6875.9844180001155,
"openwebmath_score": 0.6172398328781128,
... |
bipartite-matching, assignment-problem, bipartite-graph
Perhaps there is a way to slowly remove consumers and producers. In the first example, we know that the top producer can only supply the top consumer, so we could just remove the producer and reduce the consumption rate on the right. It might also be possible to ... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "bipartite-matching, assignment-problem, bipartite-graph",
"url": null
} |
python, programming-challenge, unit-testing
def free_id(self, id):
"""
:param id: integer id to be freed
"""
if id not in self.id_dict:
raise Exception('id {} is not a valid id'.format(id))
if self.id_dict[id]:
raise Exception('id {} is already free'.form... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, programming-challenge, unit-testing",
"url": null
} |
algorithms, heuristics
This is achieved by trading optimality, completeness, accuracy, or precision for speed. | {
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"id": 1955,
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"openwebmath_score": null,
"tags": "algorithms, heuristics",
"url": null
} |
ros, navigation, mapping, tutorials
Originally posted by David Lu with karma: 10932 on 2015-01-14
This answer was ACCEPTED on the original site
Post score: 2 | {
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"openwebmath_score": null,
"tags": "ros, navigation, mapping, tutorials",
"url": null
} |
speed-of-light, astrophysics, orbital-motion, doppler-effect, pulsars
In 250 million years' time, should we see a change in frequencies from sources outside the galaxy (thinking quasars).
(Apologies in advance if I have any of my constellations/months wrong!) The answer to all of these questions is yes. Pulsars have s... | {
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"tags": "speed-of-light, astrophysics, orbital-motion, doppler-effect, pulsars",
"url": n... |
current
If you operated it during a motor-stall event to switch a hundred or so amps, I'd expect it to fail after one or two such uses, with contacts either welded together or melted off.
The 18 AWG wires attached to it are rated at 7 to 10A. They wouldn't burn out carrying 25A, but would run warm. If you consult a ... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "current",
"url": null
} |
javascript, game, canvas
draw: function(GameCanvas){
},
criticalObj: true
};
},
addObject: function(obj){
this.objects.unshift(obj);
},
init: function(CanvasID){
// Get Canvas by ID
this.canvas.element = document.getElementById(CanvasID);
... | {
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "javascript, game, canvas",
"url": null
} |
quantum-mechanics, quantum-states, quantum-measurements
Title: Measure probability of collapse instead of collapse itself I was researching quantum mechanics recently. A particle can be in two states at the same time, with a probability of "collapsing" to one or the other. The example I learned was an electron's spin.... | {
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"openwebmath_score": null,
"tags": "quantum-mechanics, quantum-states, quantum-measurements",
"url": null
} |
if and only if it is full-rank, we have shown that the inverse can be constructed column by column, by finding the vectors that solve that is, by writing the vectors of the canonical basis as linear combinations of the columns of . Some functions have a two-sided inverse map, another function that is the inverse of the... | {
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"id": null,
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"lm_q1q2_score": 0.8229267861011582,
"lm_q2_score": 0.8723473779969194,
"openwebmath_perplexity": 619.5701036669466,
"openwebmath_score": 0.8617550730705261,
"tags"... |
# Unbounded sets
1. Mar 4, 2010
### BelaTalbot
Is a bounded set synonymous to a set that goes to infinity? I feel like unless a set is
(-infinity, n) or [n, infinity) it is not going to be unbounded.
The other thing that I was wondering is can a set be neither open nor closed AND unbounded? Doesn't the definition o... | {
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"id": null,
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"lm_q1q2_score": 0.8379088779412783,
"lm_q2_score": 0.8558511469672594,
"openwebmath_perplexity": 546.1385048452983,
"openwebmath_score": 0.7291372418403625,
"tag... |
The two approaches have different answers.
I believe the first approach has no issues, which means i am counting short in the second approach. But not able to figure out how?
• What about 2 choose watch A and 2 others choose Watch B, etc... – DJohnM Apr 20 at 10:25 | {
"domain": "stackexchange.com",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9926541732082084,
"lm_q1q2_score": 0.8356417477667468,
"lm_q2_score": 0.8418256532040708,
"openwebmath_perplexity": 689.7414959377414,
"openwebmath_score": 1.0000077486038208,
"tag... |
the matrix A = 1 −3 3 3 −5 3 6 −6 4 . I'm writing an algorithm with a lot of steps (PCA), and two of them are finding eigenvalues and eigenvectors of a given matrix. Please check my work in finding an eigenbasis (eigenvectors) for the following problem. A = To do this, we find the values of ? The matrix A has an eigenv... | {
"domain": "paramountranchtrailruns.com",
"id": null,
"lm_label": "1. Yes\n2. Yes\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9755769099458927,
"lm_q1q2_score": 0.8043260100869225,
"lm_q2_score": 0.8244619177503205,
"openwebmath_perplexity": 418.436373876837,
"openwebmath_score": 0.89106810092... |
quantum-mechanics, condensed-matter, quantum-statistics, anyons
However, in the case of nonabelian anyons, we have degenerate ground states and the braid group still acts but now irreducible representations of dimension >1 can appear.
Many people want to implement quantum logic gates with these braiding operations. Fo... | {
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "quantum-mechanics, condensed-matter, quantum-statistics, anyons",
"url": null
} |
python, pandas
return yhat, rmse, score
main guard
If you put the calling code behind if __name__ == "__main__":, you can import this script in other code without running the analysis, and reuse the functions
if __name__ == "__main__":
x_label = "x"
date_label = "date"
y_label = "Close"
data = genera... | {
"domain": "codereview.stackexchange",
"id": 33268,
"lm_label": null,
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"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "python, pandas",
"url": null
} |
deep-learning, tensorflow
actually 5 is the right answer (repeated five times and most), but is the printed output indicating 4 is the answer (at a probability of 69.7%)? This type of problem is not really suited to deep learning. Each node in the neural network expects numeric input, applies a linear transformation t... | {
"domain": "datascience.stackexchange",
"id": 10938,
"lm_label": null,
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"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "deep-learning, tensorflow",
"url": null
} |
ros, rosbridge
To have the HTML update:
In the body section, add something with an Id:
<body>
<h1>Simple roslib Example</h1>
<p id="abc">Test</p>
</body> | {
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"id": 21601,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros, rosbridge",
"url": null
} |
image-processing
Let's look at this sensor for a minute. Photographic film is composed of little crystals that produce an "optical density" when they are exposed to light. The higher the exposure, the more crystals are "activated", the more "optical density" is created. Once a crystal is "activated" it is taken out of... | {
"domain": "dsp.stackexchange",
"id": 4371,
"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": "image-processing",
"url": null
} |
c++, performance, programming-challenge, memory-management
return getReverseNum(result);
}
// this function is used to return the reversed sum of the two input numbers it receives as parameters
string getReversedSum(string& num1, string& num2) {
// first we get the reverse of two numbers
string reversedNum1 = ge... | {
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"tags": "c++, performance, programming-challenge, memory-management",
"url": null
} |
is certainly different from Heike-s answer, because it is tail-recursive, so that one has only to lift$IterationLimit rather than $RecursionLimit. Your solution still suffers from quadratic complexity when you have a large number of flips, but at least it finishes in finite time: ls1 = Flatten[RandomSample /@ Partition... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9173026573249612,
"lm_q1q2_score": 0.8298383392089704,
"lm_q2_score": 0.9046505344582187,
"openwebmath_perplexity": 3240.3428661326166,
"openwebmath_score": 0.23184773325920105,
"t... |
html, svg, d3.js
Bounty Edit
I would expect a better version of what I developed in html using any third party library you want, just one thing need to keep in mind is that, I am creating rectangles or boxes you can say by getting numbers from web services, so hard coding won't help here for number of boxes here as I ... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "html, svg, d3.js",
"url": null
} |
c++, beginner, algorithm, programming-challenge, c++17
auto substring = base.substr(0, length);
visited_substrings[substring] = {0};
Avoid repeating type names
There are a few places where you can avoid repeating type names. As shown above, when declaring a variable of type std::unordered_map, it is already initializ... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c++, beginner, algorithm, programming-challenge, c++17",
"url": null
} |
quantum-field-theory, gauge-theory, gauge-invariance, yang-mills, quantum-anomalies
The case of global anomalies is much more subtle. To the best of my knowledge, this is still an open question, i.e., it is not fully known whether "anomaly inflow" captures all the possible anomalies a quantum system may have. If this ... | {
"domain": "physics.stackexchange",
"id": 66852,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "quantum-field-theory, gauge-theory, gauge-invariance, yang-mills, quantum-anomalie... |
c#, object-oriented, design-patterns
private List<Image> images;
private List<ImageDetails> imageInformation = new List<ImageDetails>();
private Size finalCollageSize;
private int collageLength;
private Orientation collageOrientation;
private int borderWidth;
private Color borderColor;
... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c#, object-oriented, design-patterns",
"url": null
} |
kinematics, acceleration, velocity, projectile, estimation
insures us that the velocity near $\mathfrak{r}_{p}$ is linear to
the first order in time. Thus our previous result provides a good
approximation for the acceleration at $t_{p}:$
$$
\mathfrak{a}_{p}\approx\frac{1}{\Delta t^{2}}\left(\mathfrak{r}_{p+1}+\mathfra... | {
"domain": "physics.stackexchange",
"id": 52631,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "kinematics, acceleration, velocity, projectile, estimation",
"url": null
} |
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