I am writing some lisp code and I would like it not to mess with the global variables in the system. I am therefore being very careful to only use variables within the scope of the let special form. However, as the code gets longer, it becomes harder to make sure this principle is being fully r...

I have a round junction box protruding from an exterior wall. It had a fixture on it with a circular cover, but I've replaced it with a fixture that has a rectangular box which I would guess is supposed to be tight to a wall (see photo). The area where this is installed is covered, but there is f...

I am considering the integral $$ I(y \mid \mu, \sigma) = \int_y^1 \frac{\exp \left\{ \frac{-1}{2\sigma^2}[\textrm{logit}(x)-\mu)]^2 \right\}}{\sigma \sqrt{2\pi} (1-x)}\textrm{d}x$$ which for $y=0$ is the expectation of a random variable $X$ such that $X \sim \textrm{logit-Normal}(\mu, \sigma^2)$...

RealVNC only provides a 32bit app for Raspberry Pi OS (32bit) and not a 64bit native application, at least for now. I'm using Ubuntu 20.10 on my Raspberry and need to use RealVNC to remotely access the system, as I don't know how to use SSH and I'm not interested in learning. how i can using vnc ...

I have twice before had a game in which, for story reasons, I wanted to kill the entire party all in one go. Once because I needed the players to enter the afterlife, the second because I wanted the players to be resurrected a while later in the future. In a "traditional" rpg where the GM is go...

My "bad" dog is crate trained for bed. At night he's great, but not when he goes in there for naps--he doesn't nap, he just goes crazy. He's mostly focused on my "good" dog (who does not need to be in her crate). I tried putting my "good" dog in her crate, but that didn't change the "bad" dog's b...

I just read the mechanics for dice rolling in Vampire: the Masquerade 5th edition and something is bothering me. It seems to me that the larger your dicepool is, the more likely it is to get a messy critical. Just in case somebody wants to answer without knowing the rules, here is a very brief ru...

My local bicycle mechanic advised me to get mudguards (such as the ones in Image 1) to extend the life of my drivetrain and protect it from spray in the winter. Would I be better substituting a chainguard (see Image 2) instead of a front mudguard? Would this be lighter and provide the drivetrain ...

Whilst solving a problem, the following system of non-linear equations arose: $$0= \frac{1}{x^2}-\frac{1}{(y-x)^2}-\frac{1}{(1-x)^2}$$ $$0= \frac{1}{y^2}+\frac{1}{(y-x)^2}-\frac{1}{(1-y)^2}$$ I have tried to solve it via brute force and by trying to add them both in a way that could give me the a...

i'm not too sure if a setting or update has changed the quality of my photos, or if the glass lens protector I have put on may be causing this. I have got the Samsung S10 5G, it used to take amazing photos, however for ages now there is like a glow around the edges or near bright colors, they kin...

I noticed as I set out on this project that there are already a remarkable number of references at ELU to the words here in question. But what can I do? In Merriam-Webster’s entry for victuals, it is remarked that the word vittles “sounds like it might be an alteration of the plural victuals but…...

Blue: $x \ln x-x$ Brown: $\ln \frac{\Gamma(x+1/2)}{\sqrt{\pi}}$

I've been wondering for a while and have seen conflicting results, so I'm asking. "if an asteroid were to hit an extremely earth-like planet, would it cause the most damage when hitting the water, land, or coast? assume conditions of planet to be identical to earth" additionally, what makes this ...

I live in northern Mississippi, where I think it is usually fine to have already planted pea plants. I did so and they have recently started coming up and are still very small (less than an inch tall). Unfortunately, we are supposed to have extremely cold (for Mississippi) weather coming up, with...

In most introductory courses to category theory, the precise definition of a set is more-or-less ignored. The idea being that all basic results in the subject hold for any reasonable definition of a set. At some point one feels that this must cease to be the case. So what is the simplest (a simpl...

This Question stems from Ronald Fishers Tea problem in how to design experiments which I have reworded. Anyway, suppose you have 2 different items in front of you, 5 of each which we can just call red and blue. So you have 10 items total, and you want to randomly select the 5 red ones. The probab...

What was the first file system in Linux distribution/s? The "parallel" to FAT (?) in Windows at the early nineties? I want to know the name to read information about this; perhaps it was the same one utilized in Unix (Unix filesystem).

Before the Battle of The Black Gate, The Mouth of Sauron offers to let the Captains of The West peacefully withdraw under the following terms: "The rabble of Gondor and its deluded allies shall withdraw at once beyond the Anduin, first taking oaths never again to assail Sauron the Great in arms,...

While reviewing applicants for a position, I noticed a disclosure in a letter of recommendation that is potentially unethical. I'm sure this happens from time to time - something like "Jane Doe's contributions are especially impressive because her husband is constantly busy working at a hedge fun...

In classical (say Hamiltonian) mechanics, adding a constant energy offset has no effect on the dynamics of the physical system. One way to understand this might be to understand that Hamilton's equations of motion which determine the time evolution of the system variables depend only on derivativ...

I noticed that in Spanish, "beer" is called "cerveza" and "cherry" is called "cereza". The only difference in these spellings is the letter "v". Likewise, the their Portuguese cognates are "cerveja" and "cereja" respectively. Once again, the only difference in the spellings is the letter "v". My...

In this scenario, my protagonist species of aliens stumble upon some pre-industrial civilization. While trying to establish contact with them to uplift their technology and science, they mess up badly and cause shock and panic among the population of the planet, which further devolves into hyster...

Relevant Background: Greetings. This is my first attempt at using the OOP paradigm (only really used R prior to this). The project prompt came from JetBrains Academy where I am currently working through the Python Developer track. The code works as expected and was accepted for the particular sta...

I am working on a not open source project. As I truly respect the ideas behind the free software movement, I would like to also make my own works open source whenever possible. However, I am not the sole owner of the piece and thus I must take into consideration the business interests of the comp...

In Mahabharata, king Virata, out of anger, strikes Yudhishthira's face. Then Draupadi collects the blood due to that act by Virata. "Vaisampayana continued, 'Saying this, the king inflamed with anger forcibly struck Yudhishthira in the face with a dice, and reproached him angrily, saying, 'Let i...

Top Gun, Life of Brian and Heidi don't seem to have anything in common, but in Germany they are all declared "Nicht Feiertagsfrei" and may not be shown in a cinema on some days. Among them is the Friday before Easter (Karfreitag), Volkstrauertag (14th November) of Buß- und Bettag (17th November)....

In the following situation with a slipstream pylon for a self-launching glider, what are the tradeoffs in sticking the propeller before vs. after the pylon? The wind turbine industry has the same conceptual problem, and their consensus is that the turbine is better with the blades in front of t...

I have been invited to graduate recruitment weekend at a school (PhD applicant in biomedical imaging). I have been told about an interview scheduled with one of the faculty members. But my background does not match at all with the faculty's work. What to expect in the interview? How can I use th...

I'd like to know the distance between the Curiosity rover on Mars (currently at Mount Sharp, I believe) and the landing site of the Perseverance rover (the Jezero crater). Is there an application or website like google maps that lets you calculate distances? Alternatively, where can I find a good...

Working with students in a pre-calculus class, an application of the sine law. They are working on a question that has them create a Golden Triangle (A golden triangle is an isosceles triangle in which the ratio of the length of the longer side to the length of the shorter side is the golden rati...

The function y = 4 - 4 ( (1 - x^4)^(1/4) ) is defined on the interval (-1, 1) but as you can see on the image rendered with Mathematika 12 the ends of the curve don't touch y = 4 line, however they must do. How do I get a better drawing? Plot[{{4 - 4 ((1 - x^4)^(1/4))}, {4}}, {x, -1, 1}, Aspe...

In Exodus 12:29-32 (NASB) 29 Now it came about at midnight that the Lord struck all the firstborn in the land of Egypt, from the firstborn of Pharaoh who sat on his throne to the firstborn of the captive who was in the dungeon, and all the firstborn of cattle. 30 And Pharaoh got up in the night,...

Do the effects of the Thunder Gauntlets from the Armorer Artificer subclass stack with the effects of the Propulsion Armor gauntlets from the Propulsion Armor Infusion considering that they’re the same pair of gauntlets and thus a hit from the gauntlets triggers both conditions? Some people have ...

The parametric equation of a line is $\vec x=\vec p+t\cdot\vec u$, I want to display this equation "as it is", don't want for Mathematica to simplify it. line[t_,p_,u_]:=p+t u So if I define a line with: line[t,{1,2,3},{-1,0,1}] (* => {1-t,2,3+t} *) But I want it to display it like the equati...

When I revisit my files on a 5¼″ floppy using my 1541 drive with a C64 I mainly miss the date on files. I know that a Real Time Clock was not implemented and that the first computer to integrate the RTC was the IBM PC/AT in 1984. When did files start to be dated, on what computer or which version...

Kent Haines describes the game of Integer Solitaire, which I find to be excellent for young kids learning arithmetic. I'm sure they will be motivated by this game to get a lot of practice. Kent asks a question about his game, which I find very interesting, and so I am asking here, in the hopes th...

While browsing SkyVector I came across these double Class B airspace limits within the same section (is that what you call it?). I'm wondering what it means and what the difference is between this and FL145/SFC.

They wrote several books but the books were not a series. The one book that stands out in my mind was about 2 teen or pre-teen people on different planets that were able to communicate psychically with each other. Another book, a bit less unique about a young psychic boy being chased by an invest...

Solve for $x$ in $$\log_{2}(2^{x-1}+3^{x+1}) = 2x-\log_{2}(3^x)$$ I simplified by doing: $$\log_{2}(3^x \cdot 2^{x-1} + 3^{2x+1}) = 2x$$ $$\frac{6^x}{2} + 3^{2x+1} = 2^{2x}$$ $$6^x + 2 \cdot 3^{2x+1} = 2^{2x+1}$$ Where do I go from here? I tried moving more numbers around, but I haven't been able...

Alright, this is a follow-up to Making T-rex More Dangerous Part 1: Proportionate Arms and concerns one of the most important factors in making a creature dangerous to humans: durability. Sure, humans can kill anything with the right weaponry, but rhinos, bears, crocodiles, and so on are still da...

Around my living room window i see little crack (pic attached) from where cold air seems to enter. There are no cracks on the exterior of the house. Can anyone suggest what is the best product i can use to cover these cracks. Thanks in advance

I can't find a clear way to express my question but they say that a picture is worth a thousand words. Attached is an image of the desired result

I am currently working on an ocean scene. The water uses a subdivided plane with waves that are displaced via the vector displacement node in the material. I would like to add another whirlpool effect displacement on top of this, using a black and white image I have created in photoshop. What i...

In this question the term kinetic matrix of a Lagrangian is used, but I cannot find a general definition anywhere in wikipedia or elsewhere. Can anyone tell me the precise definition? What is it used for primarily, what is its raison d'être?

So I've got a colony ship crashing onto a world, and I want to reality check its effects on ship, crew and landscape. Firstly the ship is fairly large. Its job is to seed human colonies on alien worlds, and while it can move faster than light, its journey time length it still expected to be decad...

Question: Given the word UNSUCCESSFULLY, calculate the number of ways to rearrange word with the given requirements below: Letter 'Y' appears after all the vowels in the word? The first 'S' appears before the first 'U'? Both U's and L's appear consecutively at the same time? C's don't appear con...

Scenario: A sorcerer with Elemental Adept (Fire) casts Fireball at a wizard, who uses their reaction to cast absorb elements. The wizard claims that his spell protects him and he takes half damage (or 1/4 with a successful save) while the sorcerer claims that his fire spells ignore resistance and...

I'm using an Adafruit MAX31865 board to measure the resistance of a PT1000 RTD. The board comes with a 4300-Ohm resistor. I'm trying to model the amount of noise (in degC/sqrt(Hz)) that I expect out of this circuit. But in order to do that, I'm trying to determine how the circuit does the measure...

In a follow up to this question, we can prove that there are two components to acceleration in Newton's Second Law of Motion thusly, $$U^{\mu}=\frac{d x^{\mu}}{d \tau}$$$$U=U^{\mu}e_{\mu}=U^{\mu}\partial_{\mu}=\frac{d x^{\mu}}{d \tau}\frac{\partial}{\partial x^{\mu}}=\frac{d}{d\tau}$$ $$\nabla_{\...

The Embedded Contact Homology, introduced by M. Hutchings, is an invariant of (contact) three-manifolds. Since its introduction, well-known conjectures in symplectic/contact topology in dimension $3$, including the Weinstein conjecture and its gen erali zations, the Arnold chord conjecture, are p...

I'm writing a socket application that is running on Linux. My server machine is connected to a switch that is connected to a network. There are also other servers connected to the switch. My client application sends 10 messages, each of the messages is 105 bytes. I build the whole packet and writ...

I'm a beginning music student interested in learning music theory, and many texts that I've read speak about the importance of committing scales - at least the major and three common minor ones for starters - to memory. Let me be clear: when I say "memorize", I mean if someone asks what the not...

In the past, I know that there was a procedure that allowed one to delete an iOS application from an iPhone and then restore on that iPhone the version of the application that is stored on a backup. This is quite handy when you've upgraded to a new version of an iOS app only to find it behaves w...

I have a VARCHAR(80) utf8mb4 column, and I'm testing adding some ASCII & Emoji characters, and use LENGTH() and CHAR_LENGTH() to understand the differences. From reading in different places, my understanding is that each character on a utf8mb4 column would take 4 bytes. However, it appears that i...

I'm currently reading about Peano's axiom and the construction of the natural numbers. The fifth Axiom of Peano does not make sense to me: If a subset $T$ contains $0$ as an element and for all $n \in T$, $s(n)$ is also in $T$, then $T$ is the set of Natural numbers $\mathbb{N}$. I know that th...

The crew mutinies on a spaceship whose captain controls it with verbal orders. They test whether they can control the ship with recordings of the captain's voice with an order to increase orbital speed (currently orbiting a planet). It works, so they force the captain to record all the possible o...

In Choquet-Bruhat's solution to the Cauchy problem for Einstein's equation, one reduces the Einstein equations to a quasidiagonal quasilinear hyperbolic system on $ M := [0, T] \times \bar M$ where $T > 0$ and $\bar M$ is some initial spacelike 3-manifold for unknowns $g_{\alpha\beta}$ on $M$. Hy...

Just a small issue, but I'm stuck cuz I don't know R. I have the following R code that generates a plot. b <- c(0,30,60,90,120,150,180) rast <- raster("study.area.accessibility.tif") r <- clamp(rast, 0, 180) plot(r, col=topo.colors(length(b)), breaks = b ) I want that last br...

Question Determine if the following set is a vector space: $$ \left\{ \begin{bmatrix} a \\ b \\ c \\ d\end{bmatrix} : \begin{matrix} a - 2b & = & 4c \\ 2a & = & c + 3d\end{matrix}\right\}$$ I have a clue that I'm suppose to use the axioms to prove that it is a vector space, like that there exists...

The Warlock subclass The Fathomless has an ability called Tentacle of the Deeps that reads: You can magically summon a spectral tentacle that strikes at your foes. As a bonus action, you create a 10-foot-long tentacle at a point you can see within 60 feet of you. The tentacle lasts for 1 minute ...

For example: PolarPlot[{1, 1 + 1/10 Sin[10 t]}, {t, 0, 2 Pi}] how to fill color in the space between 2 functions?

I administrate a network of 10 workstations for a small non-profit (also, I'm very inexperienced, forgive me if it's a silly question), and everything has been managed so far as if they were home PCs used by multiple persons, on some workstations a handful of employees even share a single user . ...

I know that 是谁打电话过来呢 means "who is calling?" but I don't know how to parse it: why is 是 at the beginning? not sure about the meaning of 过来. Is 电话过来 a standard combination? why 呢? I thought it is used for "what about...?" questions.

There have been cracking/snapping sounds coming from my ceiling. I can't see disturbance with the cornices. However, when I go up into my roof, I found that these hitches (which perpendicularly connnect the bottom cord of the roof trusses to the top cord of the internal walls [non-load bearing]) ...

I saw this on Youtube at some point in 2020, after having watched The Old Guard with a clip being presented as an example that it was not an original idea. It possessed a similar concept to The Old Guard with there being a small number of immortals, and that they were being chased by people (corp...

I have found a conjecture in a research article on number theory, which is not well known but very reasonable. Let me be clear that, there is no counter-example that vote down the conjecture, rather, its trueness has been proved in some special situation so far. I need this conjecture to develop ...

At the end of a 4 player game, 3 of the players had fewer trains than spaces required to complete the smallest trip (we each had 8 trains and you needed a minimum 9 trains to complete the smallest trip available). Only one player could continue to select train cards to reach a destination. What...

$$\lim _{x\to -\infty }\frac{3x^7-25x^5+e^{-\frac{x^3}{\left(1-x\right)^3}}}{-5x^7+\left(111!\right)\cdot \:x}$$ not sure how to approach this limit. I have tried simplifying the function but I can't get it into a usable form. am I missing something when it comes to limit rules on how to approach...

'Were' and 'wore' sound the same to me. Is it true at native english users' ears? from dictionary: [wɔ:r] for wore and [wə́:r] for were

Let $X_1,X_2,X_3,..,X_n,X_{n+1}$ be random samples from $N(\mu,1)$. Let us define $\bar {X}_n = \frac{\sum X_i}{n}$ and $T = \frac{1}{2}(\bar {X}_n + X_{n+1})$. It is required to test whether $T$ is consistent and unbiased for $\mu$. We can clearly see that T is unbiased for $\mu$. For testing th...

I had an in person interview. The office was one big open room. There were two people sitting close to me interviewing me. There was another person close by who was working. He started talking very loudly on the phone (I think for a work related conversation). It honestly messed me up when I was ...

その日。彼女のもとに、招かれざる客が現れた。 見るも巨大な鉄の塊。長い手足の歪な人型。 そんな異形共が、彼女の領域を侵したのである。 What would be the function of the bold も?

It is a photo of a family. The wind puffs out the huge stiff curved sleeve of the woman’s dress, and brushes back off his forehead the long hair of the father’s boy who is turned towards the drama of his parents’ faces; though he is holding his father’s hand, he is separate from the group, and l...

I live in central India and I haven't met many people who only worship one particular deity or God. They may be partial to one over others, but they worship all dieties. Most temples also contain multiple idols. I wonder if there are any benefits to this path of God realisation over worship of on...

Let the focus S of parabola divide one of its focal chord in the ratio 2:1. If the tangent at Q cuts directrix at R such that RQ=6, find distance of focus from tangent at P. Let P and Q be $(at^2,2at)$ and $(\frac{a}{t^2}, \frac{-2a}{t})$ respectively, for parabola $y^2=4ax$ So $$0= 2(-\frac{2a...

Searching for i(, and got a paragraph with these combinations above: v_i), i), i(, vib, v_ib, v_i(, and ib. Are all these synonyms?

I am rather new to Blender, and very new here. I have a project which is to make a hangar with a ship inside. But I am stuck with particles, I would like to make the particles attach to specific vertices, like for instance in this model. I give you a picture as example. Thanks in advance for your...

I had an angle grinder setup in a chopsaw stand. Something similar to this: https://www.amazon.com/RO-LY-100-125-Grinder-Support/dp/B07NTXMHC1 It was the first time using the setup and I didn't notice that the cord came into the area of the grinder disc. I cut through ~1/3 of the strands of cop...

How can I select a row from one table, but if it doesn't exist, fall back to selecting it from a secondary table? Here's a dumbed down version of what I'm trying to achieve create table table_1 ( person TEXT, favourite_number INT ); create table table_2 ( person TEXT, favourite...

Given an email address in the format John Doe <[email protected]> I wonder where this format is explicitly defined and what the whole thing is called. It doesn't seem to be specified in rfc5322 (at least I didn't find it). So given the address above, what would you name the following member varia...

I bought 4 shares of Tesla on 3 separate occasions (between October 2019 and September 2020) and recently became aware that my brokerage account lists 12 shares rather than 4. So, my cost basis is $1500 and the value is $8000 rather than $3200. Putting ethical decisions aside, what happens if or ...

I am new to Latex and Tikz and I am struggling to make two boxes right next to each other that have the exact same size. (So like this but without spacing in between and without the 123 node being bigger) Right now I have come up with this: \documentclass{article} \usepackage{tikz} \usetikzlibra...

Take our world and look at its surface geography: we have continents and oceans, mountains ridges and canyons, and so on. To my knowledge, most of it has been shaped by tectonic activity (feel free to correct me). I'm looking into other things that would reshape a world on a large scale. It can b...

I have been reading the Iliad in the Penguin Classics edition (translated by Emile Victor Rieu and Martin Hammond), and in the second book, when Homer is naming the groups of Achaeans and Trojans, the translation keeps adding "branch of Ares" to different peoples names, for example: Polypoites w...

I apologize if I am splitting hairs here. First of all, is a poset a set? The official definition on my textbook says, If $X$ is a set and $R$ is an ordering on $X$, the pair $(X, R)$ is called an ordered set. I mean a poset is a set with a partial order, whereas a set itself, by definition, ...

I have a linux box that for strange reasons has two IP addresses on the same physical network interface, and both IPs are in the same subnet. The machine is reachable via both IPs, and everything seems to work as normal. Until I discovered there is a NAS service this machine needs to consume. And...

In this answer by Zach Lipton, it is mentioned that the price of using the express lane in California depends (mirror) on the number of occupants that the vehicle contains: How do the Express Lanes know how many occupants a car using the express lane contains? Relation to https://travel.stackex...

I'm not here to doubt the fact that weight-lifting works. It obviously does. I'm asking whether it's overrated compared to alternative programs. To be clear, when I say weight-lifting, I am referring to heavy lifting, e.g. lifting with weight that correspond to a 5-rep max. I am NOT considering c...

I try to make a dark stylesheet based on the ReverseColor theme. However, dataset headers are barely readable. This question is related to others such as Question 1 and Question 2. But no solution has been found yet. It seems that the new options for Dataset called HeaderStyle/HeaderBackground i...

I helped my PhD supervisor to secure a funding for an 18-month project in 2019. My supervisor got the grant in April 2020 and she asked me to consider doing a postdoc under the project. I was not very keen to continue doing lab research activity, yet I still agreed to take up the postdoc because ...

Is it possible that the king can move to a square, and the opponent can move, but no matter where it is a stalemate? If it is impossible, how do you prove that?

I have found that this command gives me the mime type from a file: file --mime-type dog.jpeg Output: dog.jpeg: image/jpeg I am now trying to create a bash checks if the mime is jpeg og png. However I am a bit stuck: #!/bin/bash $file_mime="file --mime-type dog.jpeg" mime=`"${file_mime#*:}"` i...

The challenge: compute the day of the week from a MM-DD representation of a day in this year (2021). However, you have to write your program in the following subset of Python: (I chose Python because it's popular and easy to understand even to the people who doesn't know the language. Obviously y...

The following MWE throws the error Undefined control sequence. Test avec \unhbox \voidb @x \bgroup \let \unhbox \voidb @x \setbo... l.1 ...e\egroup \spacefactor \accent@spacefactor } ? How can I write without expansion strings that include special characters? % --------------------------------...

I've got a button model, that is supposed to be rotate around the pivot point in the center, But how to set the pivot point to the exact center is a problem, the center should be further into the hollow area I know this model is simple and if you create it from a cylinder the pivot is what I wan...

During the present times, there is an excessive need to vaccinate people, but what I have noticed is that when one wishes to scrutinize this action, when one wants to ask viable, pertinent and objective questions regarding vaccination those emotionally intelligent, explorative endeavours are ofte...

I'm competent with setting up records for domains, things like CNAME, A Records, etc - but what about if I just want to redirect it? Do I "have to" do this using a .htaccess file on a host? Or better said, what's the "cheapest" and most effective way of doing this? Thanks

Let $\mathcal C$ be a finitely complete, finitely cocomplete category. Then the following are equivalent: $\mathcal C$ is regularly well-powered (i.e. every $C \in \mathcal C$ has a small set of regular subobjects); $\mathcal C$ is regularly co-well-powered (i.e. $\mathcal C^{op}$ is regularly ...

Given two strings a and b, count how many times b occurs as a substring in a, but only when it overlaps with another instance of b. (This means that 1 will never be a valid output, because in order for the substring to be strictly overlapping, there must be at least one other instance for it to o...

$\sqrt{-1}$ $\times$ $\sqrt{-1}$ does not follow the path $\sqrt{A}$ $\times$ $\sqrt{B}$ = $\sqrt{AB}$ else the result would be 1. I know (?) that we must first respect that the initial numbers become imaginary, and of course $i^{2} $ is -1. This came up in school (high school) yesterday, a tea...

In Timothy Bays' excellent article on Skolem's paradox, I have been stumped by the following lines: Let's grant that the specific element which serves as “the empty set” will not remain constant as we move from one model of set theory to another—with the empty set in the first model becoming, pe...

Consider a cylinder that rolls without sliding on an inclined plane. If it's placed at the top of the plane, with its center of mass at a height $h$ from the bottom, it will have a potential energy $mgh$ (considering the bottom of the plane as the zero point). Then, the cylinder will start rollin...

I am new to Tikz and I am trying to draw the following So far I did this manually but I was wondering how a foreach-Loop would work. \begin{document} \begin{tikzpicture}[ % \def\compOneOne{5} % \def\nodeName{C1} node distance = 0pt, square/.style = {draw=blue...

Is this simply because of marketing, hype, etc? The bicomplex numbers (especially tessarines) look just great being commutative and all.

I have this below interface in Java public interface DoubleOperator { double applyAsDouble(double left, double right); } And below implementing it using Lambda - DoubleOperator [] ops = { (a, b) -> a + b, (a, b) -> a - b }; How we can implement this in Apex . Any suggestions. Like using I...

I came across this quote of T.S. Eliot There are a large number of people… who believe that all ills are fundamentally economic. I’m craving to know Eliot’s view on it and for that I need to find the source and full quote.

I cannot understand how is $\langle 1 \rangle$ the creator of $(\mathbb{Z},+)$. I know that this element can create all-natural numbers, simply by adding-1 a certain amount of times, but the negative numbers cannot be created. So what I thought is that each element has a negative number, but stil...

Why was the name of Pontius Pilate included in the Niceno-Constantinopolitan Creed? Why was it important to mention his name in the creed? If only because of historicity, then wouldn't just a mention "governor of Judaea" have sufficed? Or at the very least the name of the Caesar would have served...

If we have an annual rate of return of 7% for our stock investment, how much is the monthly rate? First of all, why might we want to use monthly rate: that's because we may do monthly contribution of $300 to the account, so we need to calculate it month by month. I have seen articles that talk ab...

In the Cornell lecture notes, computational indistinguishability is defined as Definition 69.4 (Computational Indistinguishability). Let $\{X_n\}_n$ and $\{Y_n\}_n$ be ensembles where $X_n$,$Y_n$ are distributions over $\{0, 1\}^{l(n)}$ for some polynomial $l(·)$. We say that $\{X_n\}_n$ and $\{...

Does a Muslim widow (with one daughter) have a valid claim to her husband’s father's property (30 acres of agricultural land in India) in cases where her husband dies first, then her father-in-law dies? The property was in her father-in-law's name but following his death it is now registered to h...

Why is the space between these vertices getting bigger, the further they are apart from the original mesh? How can they be spaced equally across the y axis?

Trying to find this 1980s movie about an alien family who got stranded on Earth. They're like refugees of sorts and are being hunted by another species of alien. They have this kind of android as a bodyguard, who has tentacle-like appendages as weapons.

Ives: We drop in, clear LZs for Blue Team evacuation. We make our way into the city proper. These buildings are abandoned, but we learned there is a turnstile. Expect a bitemporal response. What does "Expect a bitemporal response" mean?