In light of the lack of success with my previous question Is exclusivity optimal from a utilitarian perspective? What's wrong with being non-exclusive?, I’d like to vindicate the topic by asking, in more objective terms, for an overview of utilitarian arguments, if any, that support preferring ex...

I will aim to keep this as general as possible, given the already narrow scope of the question. I am looking for a way to design a PhD around the broader study of mathematics. I want to learn more about the relative relationships of different subjects within math, and am less interested in the ar...

I wanted to make a .zshrc alias with the help of these previous aliases present to make an alias to convert a compressed gpg to its original uncompressed folder or file... However, I am facing this issue which can not seem to find a fix. The alias used: # Alias to decrypt and extract a .tar.gz.gp...

Suppose that $G$ is a connected Lie group, $\tilde{G}$ its universal cover, $p:\tilde{G}\to G$ the covering map. Does a representation $\rho$ of $\tilde{G}$ on a finite-dimensional vector space $V$ induce a projective representation of $G$? That is, given $\rho:\tilde{G}\to\mathrm{GL}(V)$, must t...

When I calculate the work required to bring a charge from an infinite distance away to the midpoint of a dipole, I obtain zero. I know the result is correct because of the calculations. What I don't understand is the physical meaning of this. I've been told that it would be helpful to think about...

This is a story from Asimovs in the 1980s; the backstory is a disease that causes disfiguring growths on the face/head and the ability to read minds. The telepaths are a mistreated minority (I forget the disparaging nickname). I think the story involves one of these telepaths at a bar, telling a ...

I have a superoceanic (H2O) planet ~9.1x Earth’s mass and ~2.1x Earth’s radius. It is a superoceanic planet, meaning the planet is 100% covered in a global ocean 100s of kilometres deep; so deep that at the bottom there is a layer of ice VI (pressure at the bottom = ~10,000 bars). The oceans loo...

I am working in condensed matter, where I'm required to solve an integral self consistently which is of the form, $$ \Delta = \int f(x,y,\Delta,\mu,h)dxdy $$ Basically I need to find value of $\mu,\,\Delta$ such that the above equation is satisfied for the specific value of $h$. Also the solution...

I moved into a home where we have diagonally facing track lights placed on a 27-foot high beam. All but two of the lights have gone out. I don't see how I can reach them with even the tallest A-frame ladder. All of the long bulb changer seem designed for downward-facing bulbs. I did see something...

I'd like to add some receptacles and a disposal switch to a half-wall dividing the kitchen and living rooms. The original height of the wall is about 39-3/4", the countertop height will be around 36". I didn't feel like there was enough space to place vertically orientated receptacles, so I tried...

If I save this simple script in a file: vim9script def Hi() echo "Hello" enddef And I try to load and run it: :so % :call Hi() I get: E117: Unknown function: Hi Can anyone explain? I thought I would be able to just write :Hi() because it says in the help that you can "Call function without...

I can't recall a time when God—if He exists—has ever approached me in a clear and discernible way. If a loving God were real, wouldn't it make sense for Him to interact with us more directly? Imagine being told that your parents are incredibly loving, but they've willingly chosen to hide away in ...

Not sure this is a "home improvement" question, I want to build a refrigeration room and instead of buying some industrial cooling aggregate through complicated distributor sales channels I am thinking of taking a normal AC split unit, and modify the thermostat. I wonder if this is common, if the...

This is inspired by this great puzzle What is the largest prime number that can be made using the integers from 1 to 10 under the following conditions: Addition, subtraction, division are allowed. Multiplication and other operations are not allowed All numbers must be used exactly once You can'...

Where can I find a directory of vegan communities in Ecuador? I'm currently eating a mostly raw vegan diet, and I'm trying to transition to more of a fruitarian diet. But living in Northern Europe, the fruit options here are very limited. I've learned about a few vegan communities in Ecuador that...

Is it possible to get the \not glyph with a centered bounding box in Latin Modern? \documentclass{article} \usepackage{lmodern} \begin{document} \fbox{$\not$} \end{document}

We're changing our Sender Authentication Package (SAP) and we have link branding turned on in Salesforce Marketing Cloud. We were told by SFMC support that after the SAP cutover happens, links from any emails sent prior to the cutover will no longer work. Has anyone encountered this issue before ...

What's a good way to tell my manager that the timing of my upcoming retirement will depend partly on how big my next raise is, without giving him the feeling that I'm extorting him or giving him an ultimatum? I'm planning to retire in the spring of 2026 at the latest, or as soon as I find I'm not...

I am looking at a ~1nF capacitor for Y1 safety use. I am aiming for SMT so as to avoid a THT step. I see various MLCCs that fit the bill, for instance the following : SCC4012X102K8C2TS , DK1E3EA102M86HAH01 Digikey Links: https://www.digikey.com/en/products/detail/holy-stone-enterprise-co-ltd/SCC4...

Slowly you wake up, and you find yourself locked in a room. You panic, and you know you have to find a way out. You start exploring the room. When you look around, you see a large door on the east side of the room. You must have entered through that door, but you know there is no way back. At the...

Let $T(q)$ denote the third Jacobi theta function at $z=0$; i.e., $$T(q) := \sum_{n\in\mathbb{Z}} q^{n^2}.$$ Then for any $x>0$, $T(\exp(-1/x)) \approx \sqrt{\pi x}$. For example, as the entry for A195907 in the OEIS notes, when $x=1$, we can regard $T(\exp(-1))$ as a Riemann sum approximation to...

IBM lists the basis gates for its Heron processor as $CZ,RZ(\theta),SX,X,I$. For clarity, these are the Controlled-Z, Z-rotation, sqrt(Pauli-X), Pauli-X, and identity gates respectively. My understanding is that the native gate set should form a basis. However, this set of gates are not linearly ...

I am having some trouble figuring this out, in Titus 1:2 the Greek word used for "eternal" in "eternal life" is: αἰωνίου (aiōniou) which means "perpetual" I think it can also mean "eternal/unending" as in Matthew 25:46. αἰωνίου (aiōniou) is also used in the last section of the same verse, to whic...

I am building an app to allow users to chat with characters using AI (sort of like character ai but more lengthy responses). The interface is going to support markdown for both the user and the AI's responses. Not being a role player myself I'm not too familiar with which of the markdown styles p...

I read this story in 2014. The book was old though. Seemed like before the 2000s. It could be part of a collection of stories, but I remember it being short. It was also in English, in case that’s important. What I remember is the story revolves around humanoid creatures living on ice, but they'v...

Attribution I heard of the puzzle Four coins on the corner of a rotating rectangular table (better known here as Sliding Bolt Puzzle) quite some time ago, and I found some very interesting variants. If you liked the sliding bolt puzzle and you want a challenge, I hope you will enjoy this one (my ...

The Cavalier Dedication states: You must choose an animal companion that's at least one size larger than you, but if the animal usually starts as Small, you can begin with a Medium version of that animal (changing no statistics other than its size). The section on mature animal companions says:...

This happened in Virginia, many years ago. Nothing happened, but I have a hypothetical question. My friend and I were out driving in his car. He drives a classic muscle car, a 1969 Cutlass Supreme 442 convertible. A marked police squad car pulls up next to us at a red light. The in-uniform of...

I am trying to find the name of the episode where the Enterprise intercepted a dead person sent from a planet to its moon. During the episode, it talks about life and death. At the end of the episode (after 1 week?), the man is dead again.

I'm dealing with a fairly uniform vendor-provided API, and would like to check -- and handle -- any failures in a unified fashion too. To that end, I wrote the following wrapper: template <typename Func, typename... Args> auto awrap(Func &func, Args&&... args) { auto code = func(args...); ...

I am trying to understand this specific proof of the Jensen inequality. Let f be a convex function, X a random variable then $f(E(X))\leq E(f(X))$. Proof: Consider that for all $\omega \in \Omega$: (*)$f(E(X))+f'(E(X))(X(\omega)-E(X)) \leq f(X(\omega))$ Applying the expected value to this inequa...

I was reading about the (apparently) archaic-sounding 況んや{いわんや}, which is used like まして, but getting to the examples sentences I see many ending in をや/においてをや: 私は貧乏でなかなか人並みの生活もできない, いわんや貯蓄をやだ. The best entries I found for just をや came from 現代国語例解辞典第五版 and 新明解国語辞典第八版 respectively: 「いはんや悪人においてをや」...

My instinct tells me no. I would like to imagine, since most real numbers are uncomputable, there exist two real uncomputable numbers $\alpha,\beta$ such that $\alpha+\beta=1$ but I certainly don't know how to show it.

They stood chatting together as naturally as could be. I understand it means: They stood chatting together naturally to X extent. but does x = the most natural degree they can achieve（implying they were trying to act naturally）, or x= the highest "naturally" degree among the degrees that exist...

I'm looking for a word to describe an action, such as a vote by the board, that's required, but not meaningful because the issue is already settled, or the vote cannot but go a particular way. Just for show. Ceremonial. Something like that. The proceedings were meaningless, just a _____.

I have recently been attempting to set up an ARM home sever. The only issue is that I do not have a static IP address. I live in a very large apartment with shared wifi and therefore cannot easily enable local device networks. Are there any secure solutions that would allow me to SSH into my home...

I am working on a Sitecore upgrade project and we are encountering an issue after our solution upgrade. Below is the attached screenshot. Server Error in '/' Application. ________________________________________ Implementation type 'Sitecore.XA.Foundation.Variants.Abstractions.S...

Jesus used the attribute "these little ones" for his followers. We see a mention of the term first in 2 Chronicles 31:18, which says: They included all the little ones, the wives, and the sons and daughters of the whole community listed in these genealogical records. For they were faithful in co...

I'm working on a system for a world where individuals are traded like publicly owned companies on a stock market - but I know nothing about economics. Besides ethical, is there any consequences that I'm missing from the following system? Tradable Assets: Individuals are incorporated as tradable ...

Came across this youtube video where a tug does a 180 degrees turn while towing a gulfstream and then at minute 00:50 adds 180 degrees more to complete a 360. If you notice closely the wheel actually turns with the tug all the time (is not static). Are airplanes wheel structure supposed to behave...

I'm a physicist, but fusion is not my field. I would appreciate any corrections on any misconceptions exposed in this question. I understand that in a fusion reactor we supply energy to some sample of matter. This energy induces fusion reactions which release some energy. It is possible for the e...

I am a math teacher and in my Linear Algebra class we were solving systems of linear equations that come from Kirchhoff's laws. We were trying to use a physical circuit to validate our computations. I did not expect the values to match the prediction exactly, but I was surprized that the actual m...

I am making my slides with beamer but when I put two mathematical modes (??) it fails and I tried everything and I can't find the answer to solve it. - Objetivo general - Al$_2$ this works fine, but when I put the second component - Objetivo general - Al$_2$O$_3$ it colapses and doesn't...

I am trying to determine whether I qualify for tax treaty benefits, specifically in the context of the W8-BEN form. I need to submit this form because I hold US stocks, and therefore am taxed by the US on dividends. I know similar questions have been asked before on here, but they seem to be all ...

I have read that when modeling degenerate matter we treat it like a gas(high-speed particles and very few collisions) but almost all states are filled up. First of all how do we know that collisions are unlikely? We can treat systems as gases when particles distances are high and thus interaction...

The US's Air force ones currently uses Boeing VC-25s. There are many other models and aircraft used before the Vc-25. However, what I find interesting is that all images of Air Force Ones I've found so far do not wear a camouflage. Almost all military aircraft today have some kind of camouflage, ...

Let $\mathcal{C}$ be an $\infty$-category (meaning quasi-category) and $U\colon N(\Delta)^{op}\rightarrow\mathcal{C}$ a simplicial object of $\mathcal{C}$. For a simplicial set $K$, let $U[K]$ denote the composite of $U$ and the projection $N(\Delta_{/K})^{op}\rightarrow N(\Delta)^{op}$. Furtherm...

I am having a hard time while trying to fully understand Hadamard differentiability. I use the following definition taken from a German source ( Martin Brokate, "Konvexe Analysis und Evolutionsprobleme", Lecture notes, Technische Universität München, 2014): $F: V \rightarrow W$ is Hadamard differ...

I consider to book a trip via Singapore airlines website. One leg of the trip is operated by El-Al. If I buy an "Economy Lite" ticket, I get 25 kg baggage; I can buy a more expensive "Economy Flexi" ticket, which gives me 30 kg baggage. My question is: can I be sure that El Al will respect the fa...

A cat and a mouse occupy the top right and bottom left cells respectively of an $m \times n$ rectangular grid, where $m, n > 1$. Each second they both move diagonally one cell. For which pairs $(m, n)$ is it possible for the cat and the mouse to occupy the same cell at the same time? Note: For e...

I have a flight very soon to Greece and noticed that I have small red dots scattered around the observation page in my uk passport. I’ve contacted EasyJet and they said typically if the data is readable and scans I should be fine. What are your opinions.

I'm working on a regression analysis and have obtained a point estimate that is statistically non-significant. Economically, a non-significant result makes sense in my context, but I want to ensure that this finding isn’t due to a lack of power. Instead, I want to confirm that the effect is indee...

I am trying to use SQL In-Memory OLTP. The limitation is that the solution needs to be compatible with SQL Express 2019 and 2022. This link claims that In-Memory OLTP is compatible with all versions of SQL, including Express. With version 2022 I am not managing to get started: EXECUTE master.dbo....

Consider a model with the following production technology: \begin{equation} Q_i=F(\Omega_i,K_i,S_i,N_i) = \Omega_i\Big(\nu N_i^\sigma+(1-\nu)(\tau K_i^\rho+(1-\tau)S_i^\rho)^{\frac\sigma\rho}\Big)^{\frac1\sigma} \end{equation} Where $\Omega_i$ is the physical productivity, $K_{i}$ is the capital...

I would like to execute a command which then shows a searchable list of unicode characters. In that list I want to see the character and its name. I can filter that list by name. Then I can select a character and it gets inserted.

A friend of mine teaches an elective course at a university. She developed the course herself and has been teaching it for several years. Depending on enrollment in this elective course, one or two groups are formed each year to take it. When two groups are created, my friend receives double pay ...

First post on here. I need some clarification on this topic. I have an ideal gas rotating with angular velocity $\omega$ in a cylinder of radius $R$ and lenght $L$. Working with the canonical ensemble, from the Hamiltonian of the gas particles I have derived the partition function and therefore t...

I am trying to set a document similar to the formatting below Immediately below is my MWE using wrapfig package to attain the above. \documentclass[10pt]{article} \usepackage[portrait, a5paper, hmargin=0.75in, vmargin={0.88in, 0.94in}]{geometry} \usepackage{amsmath, float, lettrine, pgfplots, ...

The D&D Free Rules (2024) just came out, and one surprising change is that humans can now be either Medium or Small size. Similarly, the Heavy weapon property has also changed, from imposing Disadvantage on Small creatures to imposing Disadvantage on creatures with below 13 Strength (for melee we...

I was checking the libsodium library and was wondering why the library does not give users access to the field operations in $\mathbb{Z}_{2^{255}-19}$. There is an interface for using scalars in the interval [0,L[ , where L is the order of the main subgroup $(2^{252} + 277423177773723535358519377...

I am running nVim v 0.10.1 on archlinux. Everything is up to date. I am running this macro as defined in .vimrc: let @k = '\z:call CZC()' But a carridge return is necesary to make this run, when I key @k so it becomes let @k = '\z:call CZC()^M' This works but ^M executes two carridge returns ...

An Indian news source, FirstPost has a recent article, 13 things about St Martin's Island that Sheikh Hasina says US wanted her to cede which talks about the claims of Bangladesh’s ex-Prime Minister, Sheikh Hasina. “I could have remained in power if I had left St. Martin’s and the Bay of Bengal ...

A leftist friend of mine shared this meme: Averages are tricky like that The average income in the United States is 74,500$. Excluding the top 10 Americans, it's only 65,000. Excluding the top 50, it drops to 48,000$. Excluding the top 1,000, it drops to just 35,500$ It alleges that the aver...

I am trying to match monomials of the type x^a y^b, where a, b can be 0, 1, 2, ... So far I have been able to come up with the following rule, using Optional patterns: Table[x^i y^j, {i, -2, 2}, {j, -2, 2}] // Replace[#, expr : (a : (x^i_. /; i >= 0) : 1) (b : (y^j_. /; j >= 0) : 1) ->...

First of all I think I need to apologize for the uninitiated beginner question as I suspect I might want LaTeX to do something weird, but anyway here goes. Also I might not be using terms and names appropriate to LaTeX specifically so bear with me. I am a senior developer with several years of ex...

Let $A$ be a ring and $M$ an $A$-module. Suppose for every field $k$ with a ring map $A \rightarrow k$ the module $M \otimes_A k = 0$. Can we conclude $M=0$?? I have found it is a surprisingly subtle question, since "usual" tricks like Nakayama's lemma cannot be used in this generality.

The man was lying down on the floor. The man was lying on the floor. What's the difference between the two sentences?

I am working with an I2C based sensor and it's requirement is that whenever some new data is ready, it generates an interrupt (hey, new data is ready, aka RDY). So what I have implemented currently is, I have connected that pin (RDY from sensor) to my MCU and I have configured it to generate an i...

Is it possible to write a command in Terminal that would delete all files on Mac except for some? Let’s say I have one general folder that consists of N folders with different titles/names. I need to keep all the folders. Yet, I need to delete all files within them except for photos. These photo-...

Like many other I'm in software so apologies in advance if the question sounds dumb. I watched some videos, read some articles and also read some answers here, such as: Pull-up resistor clarification but still don't quite get it. When switch is open, how come the voltage at pin is Vcc. Wouldn't ...

Basically, I'm in a group with someone I've played with before, but my character has never met. This player has in the past cast shatter on a cave ceiling while everyone except for him was inside the cave in an attempt to kill a normal bear, in a level 3 party, and didn't even get the bear, and a...

I actually own a Pinarello FP3 with a 6750 Ultegra groupset: it is a 10 speed, 50x34 groupset. I use it with a 11-32 cassette. Since I'm doing some races, especially on flat circuits, I'm planning to increase the big ring to a 53, or a 52 at least. From what I understood from a bit of research, i...

I am running testssl scan on an http port, after running the scan I got some errors highlighted in red. The main one that I noticed is that certificate does not have SAN. testlssl output: subjectAltName (SAN) missing (NOT ok) -- Browsers are complaining Trust (hostname) certif...

Are there any other online, collaborative, and research level maths databases other than OEIS? Especially for: Integrals; Differential equations; Infinite series; Mathematical constants; Diophantine equations.

I am working on a scientific publication in physics and want to present the architecture of our model in the paper. I drew the architecture on paper with pencil and colours, just how I imagine it. Of course, that's not professional enough to publish, which is why I want to hire a graphic designer...

While having a conversation with a member of the Latter day saints. I did some independent research regarding their official account of the origin of their Faith. I did not see any similar question, if there is one I do apologize. Forgive the long build up to my question, it helps the question be...

First, some basic definitions: Abelian ring : A ring $R$ is said to be abelian if its every idempotent is central. Armendariz ring : A ring $R$ is said to be Armendariz if whenever $$f(x),g(x)\in R[x]$$ satisfy $f(x)g(x)=0$ then $a_ib_j=0,\forall 0\leq i \leq n, 0\leq j \leq m $, where $f(x)=\su...

I'm from New York and got a NY DL. I'm staying 2 years in Germany, for a job opportunity. I already checked, that I have 6 month to get a German License, before my NY one isn't valid there anymore. My question is, what happens with my American License, when I get a German one. Can I have both at ...

Many countries have moved to cashless payment systems to the point where the need for cash has almost been entirely eliminated. On a recent trip to 3 countries in Europe I used cash only twice (parking meter and one card machine at the museum was broken). At the same time expectation around scope...

Suppose $R = F[x_1,...,x_n]/I$ is a finitely generated ring over the field $F$, and suppose there is a function $d:[n] \to \mathbb{Z}$ such that defining the degree of a monomial $x_1^{e_1} ... x_n^{e_n}$ to be the weighted sum $\sum_i e_i d(i)$ makes $R$ into a graded ring (equivalently, makes $...

What is a 'craft backer' on a roll of flashing? Is it an adhesive? Another layer of metal? And what does the 3-ounce unit refer to in this context? Is it analogous to gauge? ... laminated copper flashing with a 3oz craft backer that [can be used] with pressure treated lumber

In an effort to understand @Qrrbrbirlbel answer here: https://tex.stackexchange.com/a/725849/8650 I made this code: \documentclass{article} \usepackage{tikz} \begin{document} ~\\ A text line\\ % \begin{tikzpicture}[remember picture] \node[draw] (n) {First Node}; \end{tikzpicture}\\ % \begin{tikzp...

I noticed that when we extend $\mathbb{Q}$ to the Ring $M_5(\mathbb{Q})$, the ring of $5 \times 5$ matrices, we get that the quintics over $\mathbb{Q}$ become solvable. Namely, by the companion matrix of the polynomial. That is, if f(x) is a polynomial where $ x \in M_5(\mathbb{Q}) $ and the coef...

I know that CRON_TZ= will set the timezone cron runs for all commands. However, I'd like for some cron entries, not all, to run on specific timezones. Is this possible? If not directly possible, do you have any (hackish) workarounds?

What is it called when someone implies something without directly saying it, so they can deny they said what they were implying. Example: "Only a certain type of people put raisins in potato salad and you know who they are". "You mean white people?" "That’s not what I said!"