In the end of The Avengers: Endgame the Hulk We see him after that with a cast on his right hand. Did he later recover from that injury and his right hand fully healed to healthy condition?

Wikipedia explains that conservatives opposed to transgender rights and transgender activism refer to transgender activism as Gender Ideology. The Heritage Foundation gives the following definition of Gender Ideology: Gender ideology is the theory that the sex binary doesn’t capture the complexi...

I have been looking into how Bitlocker performs key derivation[1][2] and apparently Bitlocker's PBKDF stretches by performing 1048576 iterations of SHA-256 instead of HMAC-SHA-256 as it's usually done in PBKDF2. Doesn't that make Bitlocker extremely weak given it's stretching SHA-256 instead of H...

I'm trying to find the correct decay constant, in seconds, for carbon 14. I get SetAccuracy[IsotopeData["Carbon14", "DecayConstant"], 25] (* Quantity[3.846153846154*10^-12, 1/("Seconds")] *) When I look this up online, I find $3.8394 \times 10^{-12}$. If I calculate it using $\ln(2)/\text{HalfLi...

The Gabriel-Rosenberg reconstruction theorem, when applied to varieties, states that it is possible to reconstruct any variety $X$ from its category $\mathrm{QCoh}(X)$ of quasi-coherent sheaves. This means that if for two varieties $X$ and $Y$ there is an equivalence of categories $\mathrm{QCoh}...

Everybody, everywhere, says you need a signal ground for RS-485. Which I understand as Point C in all the diagrams of the standard. For example, Bob Perrin's classic article The Art and Science of RS485 says: Signals A and B are complementary, but this doesn’t imply that one signal is a current...

The use of CRT displays on computers date back to Whirlwind I (1951). I also know there was use of them on PDP's and IBM's. However, most times when I look up stuff before around '75, a CRT display seems to be the exception. However, in the 80s, it seems like CRT displays were the common feature ...

Trying to improve my pencil drawing. I think my biggest needs are speed and getting proportions correct. Any ideas for some exercises that will help?

The Eastern Orthodox Church values Scripture and Tradition with equal importance. This is most quickly seen on the OCA website. Sources of Christian Doctrine. Revelation Tradition Bible The Liturgy The Councils The Fathers The Saints Canons Church Art This is easily divided into "Scripture" and

I am a US citizen who entered the Schengen area Oct. 19 and left on Dec. 2 (45 days). I am returning to the Schengen area Feb. 26, intending to stay until May 21. My initial 180 period began Oct 19, making day 180 April 16. What do I need to do to stay until May 21?

During my studies in art history I saw an image of Noach's Ark where it was like a pyramid. So not as described in the Torah. The dimensions and material are given, but not the shape of the ark. " עֲשֵׂ֤ה לְךָ֙ תֵּבַ֣ת עֲצֵי־גֹ֔פֶר קִנִּ֖ים תַּֽעֲשֶׂ֣ה אֶת־הַתֵּבָ֑ה וְכָֽפַרְתָּ֥ אֹתָ֛הּ מִבַּ֥יִ...

In the wiring diagram of the KITO ER2 single-speed chain hoist, what would be the operational and electrical impact on the motor if both the up and down switches are pressed simultaneously? Additionally, could this action result in any potential damage to the motor or other electrical components?

Simply connected connected compact Lie groups are well-known to be in bijective correspondence with complex semisimple Lie algebras. Now every connected simply connected complex Lie group has a unique compact real form. So it would seem that this gives a bijection between connected simply connect...

I apologize if this is put inelegantly as I'm new to this type of mathematics, but I thought of this experiment and can't stop turning it over in my mind. Take any set of points on a 2d plane and connect every point to every other point using line segments. Now take the midpoints of each of those...

The spine of a multi-volume set of books sometimes features a panoramic picture when placed side by side on the bookshelf, such as this 2018 edition of World Book Encyclopedia: Another example (paperback volumes) is this Scholastic edition of Harry Potter: What is the term that publishers or bo...

I am trying to solve the following differential equation: $$ (1-x^2)^2\frac{d^4f}{dx^4} + a f(x) = 0,$$ where $a \neq 0$ and $|x| \leq 1$. When I run DSolve, Mathematica gives me this monster of a solution: $$ \begin{align} f(x) &= c_1 \,_2F_1\left(-\frac{\alpha+1}{4},\frac{\alpha-1}{4},\frac{1}...

I'm having trouble getting text to hard wrap in a custom tcolorbox. I created a package, mybox.sty, that defines a tcolorbox with a monospaced font via \ttfamily: % mybox.sty \ProvidesPackage{mybox} \RequirePackage[skins,breakable]{tcolorbox} \RequirePackage{xcolor} \RequirePackage{tikz} \define...

More than a few episodes of TNG start with the Enterprise-D being sent to investigate when a Starfleet science ship has gone missing or lost contact with Starfleet Command- how many times did this trope happen during the run of the show?

I have a spare tile to replace one broken during renovations to my kitchen. It’s a concrete floor. I’ve seen some saying PVA is not recommended for sealing concrete, but would it be ok for replacing just one floor tile or would it cause damage in some other way? Additionally, would wall tile adhe...

Lets say I have a document with a default font size of 12pt. I then create a tabularray and wish to change the font size used in the table to 10pt. I accomplish that with cells = {font=\fontsize{8}{10}} This works, but when I wish to decorate specific cells using \SetCell and change the font fam...

Make the number 987 using digits 1, 3, 5, 7, 9. Rules: Use all five digits exactly once. Allowed operations: $+,−,\times,\div,!$ (factorial), $x^y$ (exponentiation),$\sqrt{x}$ (square root). Parentheses are allowed. (e.g. $(3 + 5) * 7$). Everything that is not explicitly allowed is disallowed.

Towards the end of a cold February many years ago (some time in the 2010s) I was sharing a takeaway with a friend who suddenly, mid-conversation, asked me "What year is it now?" At first I was bemused, but after a few seconds I twigged what they were getting at. As it happened, I had recently cre...

Recall the capacity scaling argument for Ford-Fulkerson, for example in Kleinberg-Tardos. Is it true or false that for each fixed scaling phase $\Delta$, the bottleneck value for any augmenting path must be in $[\Delta, 2\Delta)$? The lower bound holds trivially, but I'm wondering about the upper...

$\newcommand{\Mod}{\mathbf{Mod}}\newcommand{\Ab}{\mathbf{Ab}}\newcommand{\from}{\colon}\newcommand{\Id}{\mathrm{Id}}\newcommand{\tensor}{\otimes}$ Let $R$ be a ring and $\Mod(R)$ the category of (right) $R$-modules. When you learn abstract algebra you meet a number of constructions following roug...

This is going to be short, because This library page of Western says embargoes are emplaced to protect publishing revenues and that they only apply to certain users. It says the most common lengths are 6 months, 1 year, and 2 years. Cambridge gives two types of embargoes: press embargoes and publ...

According to the Catholic Church, can abortion be grounds for marriage annulment?

In the following code, the \bigcup in equations (\begin{align*}) appears too big. The \bigcup in inline math mode appears to be the right size. But how do I make \bigcup in \begin{align*} appears the same size as in inline math mode? I need help on this. The MWE LaTeX code is as below: \documentc...

The wiring at my door chime looks like this: I'm reasonably certain that one of the white wires goes to the transformer terminal (the terminal opposite to the one connected to the "TRANS" terminal here), and the other white wire comes from my front door button, but when I touch them together, th...

For each $p \in \mathbb{R}$ and each cardinal $\kappa$, write $\text{L}_{\text{p}}^{\kappa}$ for the $\text{L}_{\text{p}}$-space one obtains from completing a real vector space of cardinality $\kappa$ under $\text{p}$-norm, and write $\mathfrak{c}_{\text{p}}(\kappa)$ for the unique cardinal such ...

I am looking to batch update tens of thousands of contributions of a certain financial type to a newly created one. But the behavior is different depending on if I do it in the UI or if run at CLI. And certainly, I'm going to run this in CLI :) Scenario 1 UI: If change the financial type in the U...

We will obviously be getting a second opinion on this but until then can anybody give me guidance on whether this is normal or not for particle board underneath carpet and preexisting laminate. My husband and I ripped up our laminate that was in the house from the previous owner and found these w...

Kittridge narrates as Ethan escapes the wreckage by paraglider, key in hand from his fight with Gabriel, and heads to meet Benji: Kittridge: We cannot escape the past. Some of us are doomed to repeat it. Grace may believe you've saved her from her fate, but you and I both know you've merely boug...

Let $a,b,c,q$ be positive integers. One way to generalize the standard Kloosterman sum to two variables is $$ K(a,b,c;q) := \sum_{\substack{x_1\, \text{(mod $q$)}\\ (x_1,q)=1}} \sum_{\substack{x_2\, \text{(mod $q$)}\\ (x_2,q)=1}} e\left(\frac{ax_1+bx_2+c\overline{x}_1 \overline{x}_2}{q}\right), $...

I have long been puzzled why "not" appears in constructions like: Do you not agree that X is a most pleasant person? when it is clear from the context that the person asked clearly does agree that X is pleasant. If the question were "Why do you not agree....." the question would make sense, alt...

I've came across this sentence in a manga あたまの蛇口がおバカになるね I know this translates to The faucet in your head is going silly But it is senseless for me and I have no further context. The character who says it is a child. There is no prior mention of such thing along the story that could help to ...

The theory of groups and the theory of abelian groups differ by only one axiom, commutativity. "Forgetting" this axiom induces the inclusion functor from Ab to Grp, which has a left adjoint, the abelianization functor. What is the correct generalization of this fact? In general, the class of stru...

Ought, and I think that is the right word, we know ourselves so that we may know others? Does it have intrinsic value, and if so then what qualities of ourselves ought we know irrespective of what that state brings about? What real value does it have to know thyself?

During my next vacation in Korea I wanted to visit Jeju as well. My itinerary is as follows: Entry through Incheon Airport (as last time) Flight from Seoul/Gimpo to Jeju a few days later Flight from Jeju to Busan/Gimhae Exit through Incheon Airport My passport grants me visa exemption and last ...

I have a pretty simple question. I just wanted to make sure I understand conditional expectations correctly. In particular if $X$ is a discrete random variable and $Y$ is continuous, we can write: $$ E[XY] = E[X E[Y|X]] = = \sum_x x P(X=x) \left(\int_y y f_{Y|X}(y|x) dy \right) = \sum_x x P(X=x...

I've been reading about fixed effects in the context of regression and I think I have an understanding of the what but I'm shaky on the where, when, why and how. The what is that for each randomization unit in an RCT, we exchange one global intercept (if present) for N randomization unit intercep...

I dont know if it was here or in Astronomy SE, someone told me Jupiter satellites werent explorable by humans because the radiation Jupiter emits is too strong. Recently, I saw this table in this article, Magnetosphere of Jupiter Jovian radiation Moon rem/day Io 3600 Europa 540 Ganymed...

Is there anyway to make these trees look better without taking them down and replanting new ones? It looks like the previous owner butchered them to no return and they’re really ugly. No idea on the type of tree.

I just began reading Ordinary Differential Equations by Arnol'd, and in the first few paragraphs of the first chapter, Arnol'd says the following: The theory of ordinary differential equations is one of the basic tools of mathematical science. This theory makes it possible to study all evolution...

Solve on Penpa+ Across 1. Intimidate entertaining painter Bob with second-rate weapon (8) 6. Get hitched close to that child, says the Reverend (3,3,4) 11. Ace thereof had many hits in the '90s, and that's detestable (4) 13. What workers are paid hasn't been given weight for a long time (4) 19. ...

Where in his sefer does the Nefesh HaChaim discuss the concept of tzimtzum?

Beginner puzzle (suitable for people who are new to puzzle solving). A 4 x 4 grid is to be covered with 16 square tiles. There are four tiles in each of the colours red, black, green, and yellow. Each row must contain one tile of each colour. Each pair of tiles that touch along a side or at a cor...

I'm doing the mission where I'm trying to get dirt on Tyrone (aka Bedbug) so he'll help me get into Iraq's base. However, every time I start trying to Intrude on the box attached to the side of the building, I'll get an alert a few seconds later that says Tyrone has died, and I have no idea how o...

I just noticed some coloured corners on some Steam achievements that I've never noticed before. So far, the only achievements that have any corners are those from Watch Dogs (at least, I haven't noticed them on achievements for other games (though I don't have many Steam games)). What do these c...

I have just implemented this while getting acquainted with the std::filesystem library. On input from console, the program accepts two arguments: argv[1] is a string of option flags preceded by a hyphen -, and argv[2] is the directory path which is about to be inspected. For clarity, in the title...

I have been studying wrinkle these days so I tested the 'blenderstudio's sample file. But the main object that used in geometry node was hidden in outliner. I could find it only in blender file property. Why and how could this happen? I had seen this situation several time but couldn't handle. A...

Given void foo(std::vector<std::string>& vec, size_t target, std::mt19937& rng) { std::uniform_int_distribution dist; while(vec.size() < target) { auto x = std::to_string(dist(rng)); std::cout << x << '\n'; vec.insert(vec.begin(), x); } } I want to rewrite...

Let us work with $A$-modules for simplicity. Suppose that I have a functor $F$ from $A$ modules to $A$ modules, and I can prove that for every sequence : $$N_1\rightarrow N_2\rightarrow N_3$$ which is exact at $2$, then: $$F(N_1)\rightarrow F(N_2)\rightarrow F(N_3)$$ Does this imply that $F$ is a...

Let $G$ be a Lie group. Suppose any irreducible unitary representation is one-dimensional. (Irreducible meaning having no proper closed invariant subspaces.) Is $G$ abelian? This great answer seems to imply that this is the case, but I would like a more complete answer or a good reference. Citing...

I'm looking for a story I read when I was younger that was of the style where it is in first person, with the main character recounting it and saying it's a true story. It was set in the modern world, where there was a conspiracy of people that I think had something to do with librarians or the i...

The Wikipedia article about the Bundestag cover the qualification for seating in the federal parliament. The article suggests it is possible to win a constituency seat and not be allowed to sit in parliament. To qualify for any seats, however, a party must either win three single-member constitu...

I want to reproduce this image: I am having difficulty drawing the dip tube: I cannot do the end (right part) which extends the two vertical lines that meet at the right mouth \documentclass[border=10pt]{standalone} \usepackage{tikz} \usetikzlibrary{shapes.multipart} \usetikzlibrary{calc} \beg...

Unicode standard defines codepoints and names of letters of the World's writing systems. Is there a command-line program on Ubuntu (Linux) to print letters by their (fuzzy) names? Here's what I expect from such a program (named pucc: Print Unicode character -- prints the Unicode character given i...

my request is very similar to this one - Running conduit between basement and 1st floor But I don't think I can manage a rigid conduit given how many turns I'd need to take since I'm not just going up but rather up and sideways to the other side of the house between basement & 1st floor. Would a ...

I have a bunch of stewing beef in the freezer, and I've had an idea for a dish I want to try making. I am unsure about the technical aspects of it though. The plan is this: Make a very dry, spiced (cinnamon, cloves, star anise, ...) beef stew Make a yeast-based dough (maybe with some additional ...

I'm trying to wrap a command created using \DeclarePairedDelimiterXPP using the pre code and post code args. The following is what I did currently: \documentclass{article} \usepackage[dvipsnames]{xcolor} \usepackage{mathtools, stmaryrd} \newcommand*\mathA[1]{\textcolor{RoyalBlue}{\mathbf{#1}}} \...

We teach our students that two events $A$ and $B$ are independent if $\Pr[A\cap B] = \Pr[A]Pr[B]$. Then, we often propose exercises of the form: "Prove that these two events are independent", where the students must compute $\Pr[A]$, $\Pr[B]$ and $\Pr[A\cap B]$ and notice that the equality holds....

I just received my copy of the new MM the other day. The new Carrion Crawler stat block has this ability Paralyzing Tentacles. Dexterity Saving Throw: DC 12, one creature the carrion crawler can see within 10 feet. Failure: The target has the Poisoned condition and repeats the save at the end of...

I want to group elements in a larger tikz picture by wrapping them in tcolorbox. In this case, a matrix-vector schema. However, the tcolorbox crops some content. This happens even when the outer tikz-environment is completely removed. ~~Side question: how can I put braces on the z-vector? I consi...

Our Windows application makes use of some open source components in the form of their publicly released executables. (One example is 7za.exe that we use to zip old log files.) We do not want users to directly use these internals, just because they happen to get shipped with our application. (Secu...

Our development team works with a micro-service node.js architecture. This means we work with a very large amount of repositories that currently each take care of their own dependencies. To avoid having to do the same set up in each of our services, we have created a private node.js package that ...

I'm developing a Windows application with end-to-end encryption and need guidance on securing the Master Key stored on user machines. A compromised Master Key could have severe consequences if exploited by malicious programs. Here are my specific concerns: Key Storage Vulnerability: While I aim t...

Wherever things look tangent, they are tangent. Circles of the same color are the same size. What is the value of θ?

I read a story decades ago, probably anthologized in a Dozois collection. In it, an alien crash-lands and is being kept alive in great pain in a government research facility. An ordinary but well-respected man, maybe the janitor, sees the aliens suffering and kills him. The man is sentenced to a ...

I have a massive problem and I feel so upset and desperate. Basically, I always use the Schengen Calculator to make sure I’m not overstaying and based on the actual, correct dates, I should have 56 days left in the Schengen Area. However, I came to Germany yesterday and first they told me I overs...

Assume $S_0 = 0$ and let $N_k$ be the number of times of visiting level k before returning to origin. My textbook first claims that $P(N_k > 0) = \frac{1}{2k}$ and $P(N_k > j+1|N_k > j) = \frac{1}{2} + \frac{1}{2} \frac{k-1}{k}$ and hints that this can be used to show that $E(N_k) = 1$. I am lost...

In Jeremiah 29:32 KJV it says. Therefore thus saith the LORD; Behold, I will punish Shemaiah the Nehelamite, and his seed: he shall not have a man to dwell among this people; neither shall he behold the good that I will do for my people, saith the LORD; because he hath taught rebellion against t...

I am looking for a tool that could separate all touching polygons while maintaining the original attributes and adding a column in the attribute table with numbers from 1 to xxxx, where, for example, the number 1 would be added to all rows for touching polygons.

I am conversing with a Japanese coworker, and I want to say to him, "I forgot to say thank you yesterday." I know from my previous language experience in Latin that the infinitive should be used in this case. For example, "cantare ămo", meaning "I love to sing" (literally "to sing I love"). In th...

I have the following formula expr = 2 ArcCsc[r] + 7 ArcTan[Sqrt[-1 + r^2]] + 10 ArcTan[r - Sqrt[-1 + r^2]] I have seen plotting it or also assigning different numerical values that it is constant and equal to this number 10.9956. How can I simplify this expression in order to obtain a precise co...

It is really well-known that the binomial distribution with parameters (n,p) can be approximated when n is large, p is small, and np is a constant (some textbooks say moderate). In my case, $n=x\ln x$, and $p=1/x$. $x$ grows large so the first two conditions are satisfied. however, $np=\ln x$ so ...

In order to find the derivative of the expression $$\frac{\mathrm{d}}{\mathrm{d}x} [(x-a)^2-(x-b)^2],$$ is the chain rule needed at all or is it possible to just use the sum rule and the power rule? I took this from a video that explains optimization for machine learning. The professor mentions t...

$\newcommand{\R}{\mathbf{R}}\newcommand{\Z}{\mathbf{Z}}$The little Zygmund class $\lambda^*$ (or class of smooth functions in Zygmund's terminology) is the class of functions $f: \R/\Z\to \R$ such that $\sup_x \frac{|f(x+h) + f(x-h)-2f(x)|}{|h|}$ tends to $0$ as $h\to 0$. It should be thought of ...

When running gcc -undef file.c, on a file containing nothing but a main function, I get this warning from ld: /usr/bin/ld: warning: cannot find entry symbol _start; defaulting to 0000000000401020 There are SO questions about the same warning related to option -nostdlib and -nostartfiles, but I d...

I am working on a beamer frame that I want to reveal like this: slide 1: example across the full frame width, at the top of the slide slide 2: solution below the example, across the full frame width slide 3: The solution is replaced by two columns, with a remark on the left and an image on the r...

In June of 2023, my mother died. At the time of her death, I was living with her in her home in the state of New Jersey. I had been living in the home for over 5 years. I was the sole beneficiary of her estate. In August of 2023, the home was put in my name. In early February of this year, I move...

8 pins, plug dimensions approximately (±0.1 mm) 7.1 x 1.3 x 3 mm, 6.2 mm between first and last pin. What kind of plug/socket is it?

In QGIS, in the rendering options of line layers it is possible to avoid labelling multiple connected lines that share the same labelling attribute. I cannot find the equivalent for polygon layers. Is there a way to avoid labelling adjacent polygons that share the same labelling attribute ?