Here is a minimal working example: \documentclass{article} \usepackage{amsmath, amssymb} \usepackage[all,cmtip]{xy} \begin{document} \begin{xymatrix}{ &&\{1,2\}\ar@{-}[dl]\ar@{-}[dr]\\ & \{1\} \ar@{-}[dr]& & \{2\} \ar@{-}[dl]\\ && \emptyset} \end{xymatrix} \begin{xymatrix}{ &&\{1,2,3\}\ar@{-}[d...

In QGIS I want to change the symbology of a point layer to show the status of each feature based on whether all the mandatory fields have been completed by the user. If they have I will change the icon colour to show this. Is there a feature variable or similar that I can use in an expression to ...

In Drupal 11 or greater, this code is used to change the node type of a node. How would you improve the code if at all? use Drupal\node\Entity\Node; use Drupal\Core\Logger\LoggerChannelInterface; $nid = NID_COMES_HERE; if (!empty($nid) && is_numeric($nid)) { try { $node = Node::loa...

The US is famously keen on keeping checks and balances between its executive, legislative and judicial branches (POTUS, Congress, SCOTUS). Some claim that the President has been gradually getting more power, for example with regards to military actions abroad that fall short a declaration of war....

I'm repeating an experiment k times: generating n values from the standard normal distribution and, for each sample, I run the AD test. Then, I plot the distribution of p-values from all k experiments. To my surprise, it is not uniform, but has rather strange spikes in the body. set.seed(1) mtx =...

I'm reading through a textbook on counseling. And they cite Epictetus as saying, "It's not the events of life that make men mad, but rather the view we take of them." It's a common quote all over the internet. But I can't find a citation. Where is this found, and what is the Greek text?

Consider the balance of angular momentum for a rigid body $B$ expressed w.r.t. its center of mass $C$, i.e. $$ \frac{\mathrm{d} l_C}{\mathrm{d} t} = \tau_C \, , \qquad (1) $$ where $l_C = \Theta_C \, \omega$ is the angular momentum and $ \tau_C$ is the torque (both w.r.t. $C$), respectively. Nex...

In Exodus 35:30, Bezalel is commissioned by God to be the chief artisan over the construction of the tabernacle, the ark of the testimony, and all its accompanying articles. He is described as the son of Uri, who is the son of Hur, of the tribe of Judah. In 1 Chronicles 2:18-20, Caleb is said to ...

The weird title is only to make it easier in case someone would have a similar problem. Practically, the question boils down to: how can i write something like but having bold greek letters indices? If I use the usual x^{\mathbf{\mu}} the greek character is just skipped, and the error Missing ...

I will depart from Bucharest and arrive in Jeddah on a Tuesday at 19:30 local time. Then I will depart from Jeddah on the following Saturday at 20:10 back to Bucharest. I just found out about the new 96-hour transit visa policy. However, as you can see, I will have a time window of a little more ...

My understanding is that the Many-Worlds interpretation essentially says that the entire universe is one big wavefunction, and what we interpret as "measurement" or "collapse" is just when our conscious mind splits into a particular branch. I've also heard that this is just an interpretation, and...

As far as I know no one has done anything towards nuclear pulse propulsion in a long time. As far as I know it has been abandoned in favor of r&d toward nuclear thermal and nuclear electric options.

This question has a lovely example of a river: \documentclass{article} \usepackage{mathptmx} \usepackage{microtype} \textwidth 247pt \parindent 23pt \frenchspacing \begin{document} Though the Pearl measures less than 50~miles in total length from its modest source as a cool mountain spring to...

Does there exist a first-order signature $L$ and two first-order $L$-theories $T$ and $T'$ such that $T$ and $T'$ both have arbitrarily large finite models, and the finite models of $T$ and $T'$ are the same, but $T$ and $T'$ differ on infinite models?

Every WebAuthn implementation I've seen stores the session data server side, but that just seems pointless to me, since what seems to be essentially all the same data is already sent to the client in the options. (For clarification what I'm calling "Session Data" essentially amounts to configurat...

I really like how 曖昧 by Faye Wong is beautifully written and the way the metaphors elaborate an ambiguous relationship, but even after browsing I still have a bit of trouble understanding this particular verse. 茶沒有喝光早變酸 從來未熱戀已相戀 陪著你天天在兜圈 那纏繞 怎麼可算短 This is how I interpret it: Unfinished tea soon ...

A month ago I booked a connecting return flight MAN>TORONTO>HOLGUIN departing 23rd March with Air Transat. I’ve just had a call from the airline to say that due to a schedule change the outbound flight is no longer available and I can either accept re-booking onto the same itinerary on 16 March o...

I am using the chronos package to make a timeline. I've picked the date centric theme since I like its minimal look. I'm having trouble figuring out how to add curved lines that connect one chronosevent to another. This is my minimal working example: \documentclass[a4paper,12pt]{article} \usepack...

When I compile the following MWE: \documentclass{article} \usepackage[bibstyle=ieee-alphabetic,citestyle=authoryear]{biblatex} \addbibresource{refs.bib} \begin{document} \section{ABC} We have \cite{Smith2001} and \cite{Smith2001Supplementary}. \printbibliography \end{document} with refs.bi...

It is classical that the homeomorphism problem for finite simplicial complexes is unsolvable. All the sources I know for this actually prove something slightly different: Theorem: For $n \geq 5$, there does not exist an algorithm that given a finite simplicial complex $M^n$ along with the inform...

I think the man had a head injury leading to a coma and woke a considerable number of years in the future. He was taken for a car ride where the driver thought he was doing 300mph, but in reality was 30mph, the dials had been altered. He was taken to the underground city where all the clever peop...

Plumber put drain pipe smack under where stackable unit will go. I've never seen this before. Am I going to have issues getting my stackable unit installed?

On english wiktionary page on "sie" the meaning "he" is given and one of the examples given is: Die Geisel Richard Meier versuchte, sich zu befreien, aber sie schaffte es nicht. My question here is a bit on how normal that choice would be. I guess that if the pronoun would have referred to "Ric...

In 2nd Temple Judaism, in respect to the command to "leave and cleave," was it considered a dereliction of duty for a man to not marry and have sons? Presuming, of course, that they are capable. Genesis 2:18 And the LORD God said: 'It is not good that the man should be alone; I will make him a h...

I having a hard time understanding this website that I was reading for the specification of following? 12th gen intel r core tm i7-1270p The reason being is that the website mentions as well has 4 performance cores, and 8 efficiency cores. It also states that it's max turbo frequency is 4.80 GH...

I have the following angle and I want to add two parallel lines. I could put the same pos to both A and A' and B and B' but I don't want to have an equal distance from point O to these points. How can I figure out what pos to use? Or mybe there is another way? In the picture I like the angle of f...

How should I format the rests and notes in this rhythm to be easier to read and less cramped? Edit: forgot to show the meter, added new picture

Oftentimes neo-Latin words take Italian words and introduce/reintroduce them into Latin to refer to modern concepts. The Italian word "macchina", originally the Latin "machina", means machine but can also refer to a car. Has this secondary definition been used in neo-Latin as well? I realize "aut...

An inner product allows us to define distance and orthogonality. Can a space be endowed with one but not the other? That is, can a space have a meaningful distance metric, but no meaningful orthogonality? Or vice versa? For a one dimensional space, only the $0$ is orthogonal, so the question bec...

Fist of all, note that my question differs from that asked here. I learned (from a Russian textbook), that there are three types of word stress in different languages: "forceful?" (силовое ударение), when a stressed sound is pronounced louder than an unstressed, "musical?" (музыкальное ударение) ...

Let's say that Alice would like to sell some private company shares on an online exchange that specializes in private (pre-IPO) companies. She sees a bid from Bob at a price she likes and officially accepts that bid, signing the necessary documentation. Now let's suppose Bob refuses to proceed wi...

I'm looking for the historical origin of a specific argument for secularism that uses the story of Abraham and Isaac to demonstrate the dangers of accepting divine revelation as valid epistemology in society. The argument could be made in different versions: At the individual level: If we accept...

Hey there blender beginning here building a scene with god rays. I am using sky environment in world settings and changing rotation to achieve the appearance of the rays (cycles). In render preview this looks good. But then when i render the image some of the rays are gone. Does anyone know why t...

So I've been trying to solve a very interesting problem for the past few days, but the solution just keeps on eluding me. It is part of a larger problem that can be broken down to the following: First step: pick an even natural number $A$, and pick an arbitrary binary sequence (call it $X$), of l...

THE PUZZLE I love the game Codewords and play it a lot with my friends. We always laugh at the weird connections one can come up with. Finish this grid below and see the strange connections I came up with. It could be synonyms, homonyms, before and after. The hints will get harder each round. Fi...

In an interview while still on the project, Guillermo Del Toro mentioned he had a plan where to put the break in the story to fit The Hobbit into two movies: Del Toro explained that the decision to split the book in half stemmed from the sprawling nature of Tolkien’s tome and, he said, the “Whit...

We are a trade union. We have a Group Trade Dispute involving more than one worker and have created a Smart Group to send emails to this group of members. It is possible to send emails to this Smart Group from within CiviCase or at least make a record in CiviCase that a mass email has been sent o...

I have a script and patch that I took somewhere to compile an image (linux build root) and I added some lines and now I got one error during patch, the error is like that: diff --git a/package/base-files/files/bin/config_generate b/package/base-files/files/bin/config_generate index fecf82fcaa..f...

I'm attempting to define operator<=> on a class, however when I specify a non-defaulted implementation, std::three_way_comparable returns false: #include <cstdio> #include <compare> using namespace std; struct UDTC { int i_; UDTC(int i) : i_(i) {} #if 1 friend std::strong_ordering ...

I upgraded a friend's computer who only used Lotus 1-2-3, and I added memory and dropped in an 8087. Later, I found out that Lotus 1-2-3 doesn't support it. That seems really strange. Why in the world wouldn't Lotus 1-2-3 support floating point? I felt guilty for years for making this guy pay for...

Michio Suzuki's monograph "Structure of a Group and the Structure of Its Lattice of Subgroups" discusses the relationship between a group and the lattice of its subgroups. My question is: Is there a new monograph like Michio's or books presenting and discussing the new results? Any references wil...

What is the earliest source for Tradition that the Sea did not split until it saw Joseph(זצוקללה״ה)'s Bones?

I have two plain TeX files, file1.tex and file2.tex. I want file2.tex to execute a \bye statement if it's run standalone, but not if it's run as \input to file1.tex, i.e., file1.tex: file1 was entered.\par \input file2 file2.tex: file2 was entered. \bye % Make this conditional!

The coherence spectrum is an obscure, unitless measure. What is it, what are some practical applications, and how can we estimate it in practice?

in the early 90s, I sold motherboards. I always also sold them a peltier that went between the processor and the heat sink. One side got ice cold and the other side got extremely hot. Back then, the 486 ran cool enough that you didn't even have to add a beefier heat sink. I told the customers th...

At the 3rd line of the following code, the curly brackets appear too big. But if \left is removed, the curly brackets appear too small. I wonder if there is a way to get a right size of the curly brackets. The MWE LaTeX code is as below: \documentclass[11pt,twoside]{article}% \usepackage{amssymb}...

Can I specify the path that a payment has to do? I know we can specify the intermediate nodes, but I'm trying to specify the channels. At least the first one (outgoing channel) if possible. Note: Trying to do this with LND but I could migrate to CLN to do it if it's easier.

Have this strange 2 pin connector I am trying to source width is 3.5mm plus a 0.5mm key on each side height is 3mm plus 0.5mm keys on the top length is 6mm including the 1.5mm stop on the top pitch is 1 to 1.25 mm

I have a tank for my oil heating in the ground and would like to know, how much oil I used this winter. It is a horizontal cylinder but I do not know the tanks dimensions. I know it has a max capacity of 7,000 liters. In the summer it was practically empty, so fill height was 0cm. Then I filled i...

Acts 16:13-15 is about a woman named Lydia, who is prefaced as a “worshiper of God.” It subsequently states “the Lord opened her heart to respond to Paul’s message,” and then she and her household are baptized. I think it’s interesting that she is a “worshiper of God” before she becomes a Christi...

My company has recently asked me to participate in technical interviews for new candidates. This would involve approximately 3-4 hours per week screening and interviewing candidates. While I understand this is valuable for the company, this responsibility wasn't part of my original job descriptio...

I'm back to Blender after a 15 years IATUS and it's fantastic but I have technical questions, here is my first one. I'm generating a galaxy/star background using several youtube tutorial. However, I can not find a new way to make the stars blooming, because the option is gone in 4.2. I watched se...

PLEASE HELP, my honda civic 8th gen R18 automatic transmission goes out of gear when come to a stop in traffic after a lil jerk, until I put it into neutral or park then D again before it moves.. The dash D blink sometimes. After a scan, it shows P0746(AT pressure solenoid valve A stuck off) Did ...

Can I say "After geological research drilling was begun"? If I can, what is the difference between was begun vs was started/commenced/etc.

Hubble observed that the further away a galaxy or star is, the greater the redshift observed. So the velocity of the observed galaxies is higher for those that are farther away from us. Now the conclusion I know from the books is that the universe is expanding, and is accelerating. Now my questio...

I have recently received a “Revise & Resubmit” (R&R) decision from a respected journal in my field. The decision email came with four reports: two written by referees, one written by the Associate Editor, and one written by the Handling Editor. One referee recommended rejection, whereas the other...

The fundamental rule for engine efficiency is higher bypass ratio is better since moving more air slower requires less energy for the same momentum. As such, if you could design an engine that produced half as much thrust, but a lot of electricity, you could use that to power a separate electric ...

It is well established that the beneficiaries can end the trust by calling for a transfer of trust property to themselves if all the beneficiaries under the trust who could possibly become entitled are: 1) identified; 2) 18+ and of sound mind; and 3) in agreement with the proposed course of actio...

So, this is super-villain origin story. He is a scientist who worked on ultrasound imaging technology. This technology was using ultrasound to "see" underground and into building walls. The mad scientist had "They laughed at me, I'll show them, I show them all!" moment and decided to do what all ...

For various reasons, I will be studying at a university in Europe or North America for my Bachelor's degree in Mathematics. I am not very wealthy, so reasonable tuition (less than 20,000 Dollars or Euros per year) or financial aid is a prerequisite. Few North American universities offer financial...

As an exercise to dive into the C++ standard library functions, particularly in <algorithm>, I've decided to write a simple Dictionary class that attempts to utilize as many standard library functions as possible. I would really appreciate feedback on: General standard library usage: Am I using ...

https://i.sstatic.net/HpqW1jOy.jpg The symbol underlined in red came from an untranslated Latin work from the Euler archive, and is next to other Greek letters, but I can't find a Greek letter that matches it. The article was published in 1813 so it could be formatting that changed over time. Any...

In English, "fruit" can mean, among other things, the edible produce or a result/ consequence of work, as in the phrase 'fruit of your labors'. I was surprised to see that guo3, 果, can also mean either the edible produce or a result/ consequence, the latter of which sounds analogous to the second...

I am designing a medical product which is fully isolated (class II) with a plastic enclosure (no chassis connected to earth). I am concerned about ESD protection as I have an electrode at the output that would be susceptible to ESD strikes. I also have a metal potentiometer shaft. Can I leave the...

i have two steel-string Fenders CD60, one DS-V2 bought many years ago, and another DS-V3 bought 3 years ago, same strings Ernie Ball 2047 on both same regular tuning yet playing V3 is much harder, strings feel much, much more tensed playing on it feels like I haven't practiced enough, except that...

I have a grid where I delete vertices to get my result. Is there a node to invert the fill curve node result? I remember I did this before, but I forgot how. It was something with using my initial grid and Dual Mesh node but I forgot how I did that.

I am trying to reproduce the following timeline chart in latex but I do not know how to add the zigzag line. I provide, the MWE: \documentclass{article} \usepackage{graphicx} \usepackage{tikz} \usepackage{tkz-tab} \usetikzlibrary{positioning} \begin{document} \begin{figure} \centering \begi...

Based on the excellent question and associated answers here, where the lift and drag forces on an airfoil are calculated, I am trying to modify the same approach to then solve the same problem on a cross-section derived from a CT image. This means that I don't have an analytical equation for the ...

Background: I have two virtual drives mapped to folders in the root of my C: drive, using persistent subst (explained in this answer). Problem: This answer explains how to make one subst drive use the recycle bin. It works great for one drive, but I can't figure out how to use it for the other on...

I'm not a musician, I'm trying to pass an existing score (that I learned when I was a kid) to MuseScore. It's Aires De Linares for guitar. The time signature is 3/4. Here's where I'm having 2 issues passing it into the program. There are 2 voices in this measure. The green section is a full meas...

Suppose I place four arbitrary numbers in the corners of a $3×3$ grid. Then, for each edge, I place the average of its corner values in the middle cell of that edge. Finally, I determine the center cell by taking the average of the top-middle and bottom-middle cells. It turns out I get exactly ge...

Regarding this particular relay, it has coil voltage stated as 12V with the coil resistance 275Ohm. If I have to use 13.5V instead of 12V, can I just use a series resistor such as a 33Ohm 1Watt resistor?

The Thing from Fantastic Four has a body made of rock, considering that his outer body is made of a layer of rocks, which charcters are able to peel off the outer stone skin of The Thing while having a fight with him?

A typical latex problem: \SomeStyle{\otherstyle{this is the \textit{nested part} some more text...}} Now I want to remove all \SomeStyle{...} but not the content. Content contains nested braces. The line above should become: \otherstyle{this is the \textit{nested part} some more text...} Quest...

I am fairly new to LaTeX especially the more technical side. I want to define a macro (using \newcommand) in LaTeX with as input 4 arguments. This of course is very easy, just using \newcommand\thecommand[4]{...} and using #1 through #4 for the values. However, I want the second argument to be ei...

I try to solve analytically eq1[t] and eq2[t] in x and y So any help why DSolve in MA12 doesn't give an output for: eq1[t_] := 2 (x''[t]/x[t]) + 1/(3 y[t]) ((x'[t]/x[t]) y'[t] + y''[t]) eq2[t_] := 2 (x'[t]/x[t]) y'[t] + y''[t] DSolve[{eq1[t] == 0, eq2[t] == 0, x[0] == 1, y[0] == 1}, {x[t],y[t]}, t]

I am looking for a proof of Proposition 10.2 in Etingof and Schiffmann’s Lectures on Quantum Groups. In particular, I would like to understand the proof of the following statement in an elementary way: Let $H$ be a quantized enveloping algebra. Then the dual Hopf algebra $H'=\mathrm{Hom}_K(H,K)$...

There are two sets of data: firstHalf and secondHalf. Both firstHalf and secondHalf are fitted using the models modelPositive and modelNegative, respectively. Both models use the same parameters: MS, Hc, HT, and XX. However, because I am fitting two different data sets, I obtain two different set...

My grandfather's poems are in my possession, following the death of my father, who left them to my two brothers and myself. I am conscious, not least because my grandfather told me personally during his lifetime, that he would have wanted to have them published. My niece and I have painstakingly ...

I am color-blind*. I know that because I had tests done, usually the Ishihara test, but also some kind of multi-color object or a set of squares I had to arrange from one color to another. I also know that I have a problem because I sometimes cannot see the difference between a red, orange or gre...

Do certain conditions affect certain saving throws? For example, if a creature is prone, and restrained and a wizard casts fireball, there is a dexterity saving throw required to half damage. But surely being prone and restrained, the character has no way of using dexterity to avoid damage? So ar...

In the following text, what is the meaning of the phrase "write a wrinkle on something"? Hardy includes two theorems from classical Greek mathematics, which, in his opinion, possess an elusive kind of beauty that, although difficult to define, is easy to recognize. The first of these results is ...

If you take a piece of paper, keep a finger on its edges and slide both the edges towards the centre, the shape that the side facing you makes looks kind of like a bell-curve. Is it possible to prove that it actually is a bell-curve? If it isn't is there an equation that can model it? I tried thi...

In Civilization VII, when you found a new settlement, the game will warn you when there is no fresh water available at a settlement. That's all fine and dandy, except the game doesn't actually tell you what fresh water does. I tried searching in the Civilopedia, but it didn't contain an entry for...

We found that there are multiple jQuery versions in our deployed solution (Sitecore 10.3). However most of the instances seems to be Sitecore's OTB jQuery version(s) \sitecore\shell\Applications\Buckets\libs\jquery\jquery-1.10.2.js \sitecore\shell\client\Speak\Assets\lib\core\1.1\deps\jQuery\jqu...

I've been running a private Bitcoin mainnet (using Bitcoin Core 24.0.1) and noticed an issue with transaction locktime values that don't match the expected previous block height. I've conducted several tests, and here are some results: Transaction edf5074c254c931dab22839c53d8fb14c51df3ea396af4470...

X user, David Procino, reports (99.5K Views): USAID funding: New York Times $3.1M Politico $32M BBC $3.2M (approximate) He cites this screenshot (with a hat-tip to his source): Politico denies receiving benefits apart from regular contracts for their "

How can I tell if an Intel CPU supports nested virtualization? So far I was only able to check if an Intel CPU supports virtualization. I use Windows 11 24H2 Pro with a MSI GS76 Stealth 11UH laptop, which has a Intel Core i9-11900H CPU. I don't see the info in HWiNFO:

What is the minimal information needed to specify a Dirichlet character over the function field of a curve over a finite field? Over $ \mathbb{Q} $, a Dirichlet character is equivalent to a homomorphism $ (\mathbb{Z} / m\mathbb{Z})^\times \to \mathbb{Q}(\zeta_n) $ for some modulus $ m \in \mathbb...

I've taken a test recently in which this question was asked: Ice and water are placed in a closed container at a pressure of $\pu{1 atm}$ and temperature $\pu{273.15 K}$. If the pressure of the system is increased 2 times, keeping temperature constant, then identify the correct observation from ...

Using TLS_ECDHE_RSA_WITH_AES_256_GCM_SHA384 in tls 1.2 handshake. Reference to TLS 1.2 standard documentation regarding the key generation. And the question 50815 (Clarification needed in TLS 1.2 key derivation process) It says as follows. When using ECDH (Diffie-Hellman over an elliptic curve)...

There are hyphenation points that you might want to prevent locally, but not necessarily globally. For instance, if the Danish word “udenrigsminister” (Foreign Minister) is hyphenated udenrigsmi-nister in the first paragraph of the first chapter, the reader gets tired immediately and loses intere...

Question Consider an interface between two media, for instance water and air. Let the acoustic impedances (product of density and speed of sound) be $Z_w$ and $Z_a$ respectively. If I place a sound source exactly at the interface what will the resulting pressure look like? Also what is the pressu...

I noticed that AD had no info on how to turn off Apple Intelligence. I found that this AI was interfering with my email with neo-troglodytic suggested text that sounded nothing like me. So this post offers the means to turn this off.

Why is Shirat Chizkiyahu mentioned only in Sefer Yishayahu (38:9-20) and not in Sefer Melachim when otherwise Perakim 36-39 are practically identical?

I want to use a relation symbol that is a heart suit composed with a slash. In my prior work, I could accomplish it with \mathrel{\not\!\heartsuit}. The negative thin space \! is needed to make the slash and heart overlap well. But now that I'm slowly migrating to the unicode-math package, I'm ge...

In his Continental Philosophy since 1750, Robert Solomon writes that Kant "never left the provincial town of Köningsberg, insisting that in its busy port he had the opportunity to observe all of humanity". Solomon doesn't cite a source, and I couldn't find this remark of Kant's anywhere. Does som...

How to change the mesh so that there are no artifacts? Все эти квадраты, что не так? file