\begin{array}{l} \text { If } a+b+c=1, a b+b c+c a=2 \\ \text { and } a b c=3 \text {. What is the value } \\ \text { of } a^{4}+b^{4}+c^{4} \text { ? } \end{array} This can be solved by expanding but is there any easy alternative method ? Here is how I solved : \begin{array}{l} (a+b+c)^{2}=1\\ \...

I am doing a heat map of the density of schools within a specific area of a city. Right now, I have this: I would like to create a more formal map in which the white non-coloured aspects are coloured also, in this case, in blue. This will allow me to represent the map of the whole city in specif...

I am facing an issue where using a subfloat causes the alignment to go wrong. Below is a snippet and a figure with and without the subfloat on the bottom left figure. How can I fix this issue without making significant changes to the code i.e. using a completely different environment. \begin{figu...

Let $\Omega = \{1,2,3,4,5,6,7,8\}$ be an outcome space. Let $X$ be a function defined on $\Omega$ given as $$X(\omega) = \begin{cases} 5 \quad \text{when $\omega = 1,8$} \\ \pi \quad \text{when $\omega = 2,3,4,5,6,7$} \end{cases} $$ Find the smallest $\sigma$-algebra $F$ that makes $X$ into a r...

Here's an exercise from an old Egyptian textbook published in 1828. I'll try to preserve the main idea while translating it into English. Let $k\geq2$ be a natural number. Consider a premutation $\sigma\in S_k$ defined on $k^*=\{1,...,k\}$. Define the messing number of $\sigma$ as $m(\sigma)=\min...

I made a simple password generator (once again). import random import string import pyperclip class Password: def __init__(self, length, contains_lowercase, contains_uppercase, contains_digits, contains_symbols): self.length = length self.contains_lowercase = contains_lowerca...

みんな同じ地域で小学校から育ってきたところに学年で僕1人だけ渋谷から引っ越して入学したんだよね。 The で here confuses me, here is what I think the translation is and I'm not sure if mine is even correct. When everyone from the same region grew up from elementary school, (Then the 2nd で confuses me) I think the 2nd で serves as the location p...

According to Volo's guide to monsters , The elder brain and ulitharid have the following ability, with the main difference between the two being the effective range (2 miles for the ulitharid, 5 for the elder brain): Creature Sense. The ulitharid is aware of the presence of crea­tures within 2 m...

I have finished the first and middle layers on a Rubik's cube and now I would like to complete the yellow cross on the third layer. Every instructions manual I have seen assures that there are one of two possibilities: either no yellow edges on the top layer (only yellow dot in the middle) or two...

In other words, if I put a bomb set for 2.2 microseconds and send it out at .99c, would it travel further than (.99c x 2.2 microseconds)? And if it does, like muons do, wouldn’t the bomb be able to tell that it has gone faster than light for the 2 microseconds it was alive?

In Chapter 19 of The Silmarillion, there is the following passage: Thus Beren came before King Finrod Felagund; and Felagund knew him, needing no ring to remind him of the kin of Bëor and of Barahir. Behind closed doors they sat, and Beren told of the death of Barahir, and of all that had befall...

I have two snippets of 8086 assembly code, both of which are supposed to do the same thing: make the mouse appear on the screen. Show_Mouse: push ax mov ax,0 ;Reset Mouse int 33h mov ax,1 ;Display Mouse int 33h pop ax ret Show_Mouse: push ax...

Suppose we have 2 cars with different specifications. Car A has a higher power specification but a lower torque specification Car A has a higher torque specification but a lower power specification Suppose they enter a drag race on a flat, straight track. Who will win the race ?

I think im missing something in the genki books which i cant quite figure out, the exercise is to make suggestions using the cues. The cues include 'see a movie' 'play tennis' etc im stuck on 'study at the library'. I'm confused as study is both the verb and the object at least i think it is, i b...

Translated by me to English from Swedish, from VikingLine.se: We welcome payments onboard with the following cards: American Express, Diners Club, Eurocard, Finnish bank cards, Master Card, VISA. VISA Electron and Maestro cards are accepted onboard, with the reservation that there might be tempo...

I was wondering what would be the best way to extend the ground cable from this lightswitch box? I am trying to install a motion activated light on another box but this one has both ground wires cut to size to pretty much only fit the grounding screw. Additionally, would I be correct to assume th...

I understand that you weigh less at the equator due to the increased centrifugal force. From my understanding, the faster you circle the Earth, the less your effective normal force you would feel, up to the point where you are orbiting the planet and the force becomes zero. The Earth rotates abou...

I am building a Daap in Cardano i want it to build NFTs even if it's not possible right now, what tools can I use for it? I know that there is a testnet where I can run Plutus contract. How can I access to it ? Can I ? If not it's a good idea to write the contracts an daaps.. testnet in a local P...

The Talmud in Megillah.9a describes the process of the translation of the OT to Greek, aka the Septuagint. It lists a number of changes that the Jewish sages deliberately implemented in the Septuagint to prevent possible misunderstanding: "וְכָתְבוּ לוֹ אֱלֹהִים בָּרָא בְּרֵאשִׁית אֶעֱשֶׂה אָדָם...

How can I get the author's name, the date, or other #+KEYWORD: value variables to appear within the exported body? This is my org-mode file: #+TITLE: Some Title #+AUTHOR: Foo Bar #+DATE: 2021-08-21 * some headline This does not work: - author's name: %a - date: %d Note: I'm exporting to H...

I understand that the situation I am describing is unlikely (because we have 1.46 Quindecillion possible Bitcoin addresses), but let's imagine that someone generated the same address as mine. Is there any protection against a duplication of private and public keys if someone's new address matches...

One of my home's 120v circuits measures: Line to neutral = 120v, fine. Line to ground = 52v, ! Ground to neutral = 45v, ! What should I look for?

I am planning to send emails to potential PhD supervisors in my area of research at the start of September. I recently found out that most of my colleagues have already sent out these letters as early as July, and I am now worried that I waited too long. What are the negative consequences of a la...

This datasheet for a Rohm SCT3017 silicon-carbide N-channel power MOSFET's Safe Operating Area only extends as fast as 100µs. Why no trace for 10µs? Is it because with an expected gate charge of 170nC, the 4Ω of gate resistance limits the transition rate? \$\tau=\text{2884pF}\cdot 4\Omega=11.5\t...

I’m an aspiring jazz pianist, playing tunes without sight reading of any kind (once I’ve learned it), in ensembles and solo. I have for long had the problem that my chords are staggering. Once I’ve nailed the current, I’m perplexed and surprised by the next chord which catches me off guard — I wa...

Last week, I had a discussion with a colleague in understanding the documentation of C++ features on cppreference.com. We had a look at the documentation of the parameter packs, in particular the meaning of the (optional) marker: (Another example can be found here.) I thought it means that this ...

Job 42:5 My ears had heard of you but now my eyes have seen you. John 1:18 No one has ever seen God, but the one and only Son, who is himself God and is in closest relationship with the Father, has made him known

Let $G$ be a linear algebraic group whose Lie algebra $\mathfrak{g}$ is semisimple. Let $x$ be a regular semisimple element of $G$. Write $\mathfrak{t}$ for the Lie algebra of the maximal torus $T = C(x)$ centralizing $x$, and let $\mathfrak{h}$ be the image of $\mathfrak{g}$ under the map $g\map...

I'm a Dutch citizen, and on September, right as Canada begins allowing foreign tourists, I plan to fly there for a much-desired holiday. The affordable flight connections however all require me to change planes in the US, mostly in Chicago. The US does not allow entry for non-essential reasons, a...

I wonder whether there is any difference between a last call and a final call, in the context of boarding airplanes. E.g., does one of the term indicate a higher level of urgency?

Typically, induction is done by proving that $P(1)$ and $P(n) \implies P(n+1)$ for all $n$. Is it possible to instead prove $P(1)$ and $P(n+1) \implies P(n)$? Provided that $n$ is arbitrarily large, it seems that this should prove the statement for all $n$.

After many years of school, I recently started work. I learned about the different categories of health insurance: for an HMO I have to contact my PCP, PPO gives more flexibility, and POS is somewhere in between. More flexibility in choosing doctors should cost more. This is my extent of knowledg...

I'm trying to identify a British import on Canadian TV I remember watching around the 1980s. The series involved a group of teens or young adults caught up in intrigue surrounding some sort of nefarious plot which I think concerned nuclear missiles. The one detail I clearly remember is the openin...

Many monsters have the following ability: Legendary Resistance (x/day). If the [monster] fails a saving throw, it can choose to succeed instead. This ability allows the monster to pass any saving throw, regardless of DC. Player characters, on the other hand, have many abilities which allow them...

if an event has probability $\pi$ and the other event has probability $1-\pi$. is there a mathematical name or label for the ratio of those probabilities, $\frac{\pi}{1-\pi}$?

How to check if a package is essential / part of base Ubuntu (v18.04.5) install? Eg. I keep seeing Ceph and RADOS updates in my weekly software updater GUI, ie... ➜ ~ apt list --upgradable Listing... Done libcephfs2/bionic-updates 12.2.13-0ubuntu0.18.04.8 amd64 [upgradable from: 12.2.13-0ubuntu0...

The Space Shuttle needed a high-performance heat shield that caused much grief over it's operational life. Having a large surface area on a reentering vehicle reduces temperatures by causing the vehicle to slow at higher altitudes. The External Tank had much larger surface area than the Shuttle, ...

In this scenario, all of humanity spontaneously disappears. Earth is left untouched for a while, but not for too long. Buildings stay mostly completely intact, and most importantly, so does the internet. One day, Earth is repopulated with humans, just as intelligent, but with no memories of Earth...

The description for Blink: Roll a d20 at the end of each of your turns for the duration of the spell. On a roll of 11 or higher, you vanish from your current plane of existence and appear in the Ethereal Plane (the spell fails and the casting is wasted if you were already on that plane). At the ...

It is correct that the "necessary" in bold in the following sentence. If it is skills' adjective, I wonder why it isn't placed before the word of skills? If the "necessary" be placed before "skills", will the object of the infinitive phrase change? - "to make successful scientific presentations"...

The calculation formula of geographical concentration is as follows: $$G=100\times\sqrt{\sum_{i=1}^n\left(\frac{n_i}{N}\right)^2}$$ The explanation of the formula is something I don't understand: In the formula, $G$ represents the concentration of a matter, through the calculation of concentratio...

If we have the example: $$\overline{(A + B + C)D}$$ Then can we apply De Morgan's Law as is, or do we first need to expand out the brackets? If I expand the terms first, I get: $$original: \overline{(A + B + C)D}$$ $$expanded: \overline{AD + BD + CD}$$ $$applying De Morgan's: \overline{AD}.\overl...

I have a rather straightforward pgfplots diagram but I do not understand why there is a bump in my tanh function (should be smooth). The domain (and samples) key seems to influence the outcome. Can you explain this behavior and is there a systematic logic to prevent that (or do I need to use a tr...

My understanding is that although electron degeneracy prevents beta decay, there are still a few protons and electrons hanging around. I also understand that, at least in white dwarfs, as the mass increases, more electrons are forced into higher energy/momentum states. Does this carry over to neu...

Consider the following minimal example of my problem: eq = (a^2 + a == b^2) I would like to manipulate this equation to achieve: a == b^2 - a^2 First, note the obvious point that solving for a in this context is not appropriate as Solve[eq, a] solves the quadratic equation, which is not my goa...

ModA <- lm(Temperature ~ Section*sin(2*pi*t)+Seccion*cos(2*pi*t),data=MyData) ModB <- lm(Temperature ~ Section+sin(2*pi*t)+cos(2*pi*t),data=MyData) I have to specify the statistical methods in my paper so, is it correct to say that these are ANCOVA models or they are only linear models with para...

What does this mean? "Grace" war als Hurrikan auf die mexikanische Golfküste getroffen und hatte über Land dann rasch an Kraft verloren. Source : https://www.tagesschau.de/ausland/hurrikan-grace-mexiko-103.html I don't understand the war and getroffen part. Perhaps it means that it "had hit the...

I am part of an organisation which regularly flies high-powered rockets, and thus files a TFR when we do so prohibiting aircraft from the area where we launch these rockets up to 10,000 ft. This TFR is frequently violated, presumably unintentionally, requiring that we stop our current launches an...

God instructed His faithful servant, Noah to build the ark as follows: Genesis 6:14-16, NASB: "Make for yourself an ark of gopher wood; you shall make the ark with rooms, and shall cover it inside and out with pitch. 15This is how you shall make it: the length of the ark three hundred cubits [~4...

The potion of poison (DMG p.188) is an uncommon magic item that deals poison damage over time to anyone who drinks it. However, the way it deals damage is rather complicated, with multiple saves and reducing damage. How much damage would you expect a potion of poison to deal (that is, what is the...

If remembering correctly I once heard a Dhamma talk about the Buddha finding solace in/with the investigation of energy while (at least once) experiencing physical pain. What's the sutta reference(s) for this please?

I have a conjecture: If two finite-dimensional matrix spaces $\mathcal{A},\mathcal{B}\subseteq \mathrm{M}(n,\mathbb{F})$ have the same dimension, then there would exist $P,Q\in\operatorname{GL}(n,\mathbb{F})$ such that $\mathcal{B}=Q^{-1}\mathcal{A}P$. (Reminder: Matrix spaces refer to linear spa...

This post How do mathematicians conduct research? includes some explanation on things mathematicians do. I am now also a little curious about how much money/resources are used in this process. For simplicity, let's suppose a pure maths professor gets a research grant of, say, 200 thousand, or 1 m...

I have a large set of slides (in beamer) that I use for my lectures, making additions/modifications, removals for outdated information, changes in lecture boundaries, etc. each semester. After a recent update (71 packages) in TeXLive 2021 that I pulled using tlmgr a couple of days ago, I have sta...

I was trying to prove that any quadratic formula ($ax^2 + bx + c$) will not be injective, but I have a little problem. I started by assuming $f(x) = f(y)$. We can put x and y into the general form of quadratic function, and we get $ax^2 + bx + c = ay^2 + by + c$ Subtract c from both sides and org...

In a centrifuge, $a_c$ should be constant. If $m$ increases, the $r$ will increase in order to maintain a constant $a_c$. Constant centrieptal acceleration is given by $a_c={ v^2 \over r}$ and $a_c = \omega^2 * r$ But the conflict between these two equations arises when we increase $r$. In the ...

Do you think the mounted camera and light on the helmet is safe?

Phil Plait's Bad Astronomy's Fly Me to the Moon and Then to a Near-Earth Asteroid describes Near Earth Asteroid Scout (NEA Scout, or just Scout) a 6U cubesat that will be deployed from Artemis somewhere in cis-lunar space, deploy a solar sail, then sail to a near Earth asteroid: Don’t let the si...

I have done some searches on this site before I wrote this question. There were similar posts regarding this problem to some extent, but none of them was exactly what I want to ask, and none of them solved my problem (They only showed the requirement of AC). This proposition is well known: Every...

Two coins are in a hat. The coins look alike, but one coin is fair (with probability 1/2 of Heads), while the other coin is biased, with probability 1/4 of Heads. One of the coins is randomly pulled from the hat, without knowing which of the two it is. Call the chosen coin “Coin C” Find the prob...

I'm trying to compile my code but i keep exceeding my global variable memory by 12%. Is there anything i can do in my code to further reduce RAM usage? Or do i have to do modifications to the libraries I'm using? Here is my main program: #include <MIDI.h> #include <FastLED.h> #include <Softwa...

A SQL Server Express database hit the 10GB limit. I cleared a lot of orders over a certain age. Is this cleared space available for other tables in the same database? I don't need to reduce the database file itself, I don't mind having allocated the 10GB, as I'd rather be out of space for other f...

I did an optimization for a monolayer with GGA (550 eV ecut, 12 12 1 k-mesh) with ISIF=3 and IBRION=2. My original POSCAR was: 5.2916193008 0.0000000000 0.0000000000 0.0000000000 5.2916193008 0.0000000000 0.0000000000 0.0000000000 20.0097122192 Afte...

As a bit of wordplay based on the king is dead, long live the king, I am translating the empire has fallen, long live the empire into Latin. I'm uncertain about using vivere with something that isn't actually alive, like this: Imperium Ruit, Vivat Imperium Does this work? Additionally, this omi...

I am a PhD student in Mathematics. I am writing research papers but I am confused with one thing : What papers should I cite? I want to know in specific what is the criterion for which a paper should be cited? I received a revision from a SCIE indexed journal recently. The Reviewer shared the nam...

What non-combat uses could mechs have? While mechs are obviously inferior to wheeled & tracked vehicles in combat. What uses could they have out of combat both military & non military? They have to it better than a wheeled or tracked vehicle, otherwise it would just be better to use them. It can'...

many sources (1, 2 for instance) state that the best grip for the overhead press is the bulldog grip as it makes the moment arm between the barbell and the wrist zero. Now let's consider a clean and jerk. I'm a noob about it and I want to clearly understood their theory before trying it. The ini...

Summary: How to remove duplicated spaces in visual selection and/or globally while preserving the indentation? Imagine you have a mess like this: line of text indented line of text and some more random lines of text And you need to convert it into: line of text i...

There is no need to discuss both the years 1927 and 1931 (1929 is similar) as they both have an existing note: En el puesto de Puente Genil finió el año. In terms of the debate about finó and finió ... many have said that the handwriting looks like finó but that it would not be grammatically co...

phlebotomists are (nearly always) highly skilled people who safely and relatively painlessly poke our veins with big needles, take blood samples, then ask us to "press here". The process is called a phlebotomy. the surgical opening or puncture of a vein in order to withdraw blood, to introduce a...

the paper "Development of singularities of solutions of nonlinear hypebolic partial differential equation" of Peter D.Lax (1964). is start with a simple theorem about ODEs. theorem: Let $z(t)$ be the solution of the initial value problem $$dz/dt =a(t)z^2,\ \ \ z(0)=m$$ in the interval (0,T). Supp...

On a Nissan March 2008, I noticed that the some pipes under the hood seem to have cracks or openings in them. Is this normal?

Acts 12:24 But the word of the Lord continued to grow and to be multiplied. Is it talking about the people or the written word of the Lord?

In Phaedrus fables in I.26: Nulli nocendum: si quis vero laeserit, Multandum simili iure fabella admonet. According to what I was able to find in 3 different translations nulli nocendum is interpreted as "You should harm no one", so the dative nulli here understood as dative to the verb noceo. ...

Does a Gemach that lends money need a Prozbul? Individuals protect their loans from loss in the seventh year through Prozbul. Does a Gemach run by a committee of three need the same protection?

This is a toy for infants. My son was playing with it, and I started wondering how you could manufacture this. I can't think of any reasonably cheap way it could be done. I believe it's made of plastic and not silicone. It's flexible, but not elastic. My first thought would be injection molding,...

I am familiar with Cholesky decomposition and LU factorization for solving systems of linear equations. I have a problem where I have large sparse matrices (say, 1000x1000 or larger) where only one or two rows/columns (last couple rows/columns) break symmetry. I understand that Cholesky is nearl...

From Kaplansky Set theory and metric spaces p. 80: Let $X,Y$ be metric spaces, let $f$ be a function $f: X \to Y$, let $x_0$ be a point in $X$, and let $y_0 := f(x_0)$. Prove $f$ is continuous at $x_0$ if and only if, for any neighborhood $V$ of $y_0$, there exists a neighborhood $U$ of $x_0$ wi...

In their book Fundamentals of Parameterized Complexity, Downey and Fellows claim (in chapter 27.1) that $\mathrm{FPT}\subsetneq \mathrm{XP}$, and that this is a "basic result" that follows by "standard diagonalization", without any further reference. I have neither been able to find a proof of this

First a MWE is as follows: \documentclass{article} \usepackage{unicode-math} \setmathfont{latinmodern-math.otf} \begin{document} $\aleph,\beth,\gimel,\daleth$ \end{document} Compile it with XeLaTex, we have The last three symbols are clearly different from ones in the amssymb package. This i...

I own a commercial AC which according to the technician should never be unplugged while running. At the moment the device is plugged into one of these sockets shown below. These are old swiss sockets but the successor model is only marginally better to prevent accidental disconnection. Are there ...

I am trying to remove outliers from the following data: Data={{0.105, 0.989213}, {0.106414, 0.988926}, {0.107828, 0.988636}, {0.109242, 0.988343}, {0.110657, 0.988049}, {0.112071, 0.987748}, {0.113485, 0.}, {0.114899, 1.}, {0.116313, 0.986826}, {0.117727, 0.986512}, {0.119141, 0.986196},...

I am using the Wilcoxon Rank-Sum/Mann-Whitney U test to compare metrics between two groups. In almost all cases, I get huge values for the statistic and only p-values around zero. In one case I got reasonable values for p around 0.22, which raises the question if the other cases are actually arou...

A gravity mage is someone intrinsically able to alter the gravitational mass of objects, without affecting their inertial mass. They are able to do so only to objects they touch, and when they change the G-mass of something, an equal and opposite change occurs to their own G-mass. This change is ...

Does simple theory of types + ambiguity prove axiom of infinity? The simple theory of types known as $\sf TST$ is a multi-sorted first order theory, syntactical restrictions include $\in$ being a dyadic symbol where the symbol on the right of it is one sort (type) higher than the one on the left,...

Inspired by this video by Matt Parker The distances between the letter keys of a QWERTY keyboard are somewhat standardised. The keys are square and both the horizontal and vertical spacing are 19.05mm (so if there were no gaps between the keys, their side lengths would be 19.05mm), and the three ...

Well, I am trying make a library for HMI display. display and Arduino comminicate with Serial. So I will so many times Serial port. Generally I will use Serial.write commend. if I examine other libraries, there are lots way to declare serial. Why and which is the best I want to learn. there I hav...

Is there any way to automatically make this from this: I guess it should be called "double-triangulation" or "cross-triangulation", but there's no trace of it in the docs nor anywhere on the Internet. I need to split in two all the longest individual edges of triangulated mesh, and connect resu...

I'm in the process of building a device based on the Espressif ESP32. The device will spend most of its life in deep sleep. With a simple multimeter I've been able to determine that it's using 0.25 uA while in deep sleep. The device is running out of battery (800mAh battery) in a couple of days, ...

I am reading a paper on quantum cryptography. The author used two facts: quantum- information cannot be copied and Furthermore, measurements destroy information... For the first statement, I came to know that due to no-cloning theorem quantum-information can not be copied. What is the rationa...

My desired features for the table alignment are: The cell sizes should be auto-adjustable according to the contents. Every table cell content should be vertically and horizontally center-aligned. The first column's contents (except its header) should be vertically center-aligned but horizontally...

I am having some issues trying to find a balance in what seems to me to be an overpowered spell considering its low level. I will state first that I have always considered the familiar as a very attractive archetype of fantasy literature and I’d love to have it in my games. But I think the way it...

You are an archeologist and you have found a tomb with ancient Egyptian mummies. You know that each person has two types of genes, where one type is inherited from the first parent and one type is inherited from the second parent. For example if the first parent has XY genes and the second parent...

Yesterday, I got my pen-pal to teach me the rules of Slitherlink. I had to use a translator to understand what she wrote though, and as a result I suspect I've misunderstood some of her points. I've tried all of the Slitherlink puzzles on this site, but I think none of them have valid solutions! ...

I tried solving this statistics problem, but got confused. What is the approach? Based on statistics of gold mining in the area, the probability of gold being present in the grounds of the University of Warwick is 0.1, the probability of coal is 0.3 and the probability of neither is 0.6. If gold ...

A basic question: A wants to send money to C, but there is no channel between them. But A is connected to B and B is connected to C. So A sends money through B to C. But what is necessary to (not) become "B" in this case? Is it possible to use the lightning network without being the "middleman"/"...

I am working with Inkscape and vector graphics. My dilemma is the following: I start by assuming that any vector object/image is essentially a vector path (straight or curved) with anchors (nodes) and handles to change the edges between the nodes. Curved paths are called Bezier curves, straight p...

There is vocabulary, let's call it forum tags which contain all forum tags, Also, in Forum, the link for the Forum container using a similar tag pattern for the forums. for example, Term name : windows term alias: /forum/windows Forum container: windows forum alias: /forum/windows if I open...

Given that an $n$ by $n$ matrix $\mathbf{M}$ is defined as: $$\mathbf{M}_{j,i}=\frac{G(j)}{(j-\alpha)^i}$$ where $\forall k\in\mathbb{N}$, $ G(k)\neq0$ and $\alpha\not\in\mathbb{N}$. Show that the matrix $\mathbf{M}$ is invertible. I have tried using row reduction to find a formula for the det...

I have seen this particular d4 e3 f4 pawn-setup played a few times, sometimes arising from the Bird opening (as below), sometimes from 1.d4: [FEN "rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQkq - 0 1"] 1.f4 d5 2. e3 g6 3. Nf3 Bg7 4. d4 I don't see why white would willingly create such a pawn...

NASA, SpaceX, CNSA... all organizations in space right now seem to have their eyes on the Red Planet. But what if that were to change, and the main goal of manned spaceflight redirected towards Venus? Suppose that a "MacGuffinite" sufficiently motivating to land humans on Venus is found in the ne...

I've been told 羽を咲いている is incorrect. Can someone explain why I can't use を here?

"Four, four, four, ..." droned the random number generating monster. "Are you sure that's random?" I asked. "That's the problem with randomness, you can never be sure!" he replied. But suddenly the long string of 4s was broken up by an 8, then later a 12, before he returned to his 4s. Can you com...

I am an early mathematics researcher. Last year I was approached by a contemporary for collaboration. We started discussing the problem with possible approaches, I read all literature related to the problem. I had some failed attempts. But it was him who eventually solved the problem. And the l...

I am actually talking about options like: 1st window: 1/3 of screen 2nd window: 2/3 of screen 1st window: 1/2 of screen 2nd window: 1/2 of screen 1st window: 2/3 of screen 2nd window: 1/3 of screen and so on ... actually like Macos X . with keybord shortcuts ...

I have some problem with sending Bitcoin from Bitcoin Core v.0.14. When entering the address in recipient field it becomes red. And I noticed that the address to which the translation needs to be made does not correspond to my. My address contains digits, small and bit letters and address that i ...

I'm trying to figure out the best way to gather user consent to use third-party services in a mobile app for users under the GDPR. Let's say that I have an app that uses third party services (analytics, ads...) which collects personal identifiable information. In the first app launch a dialog wou...

Flying from Spain to Ukraine, transiting (1 hr) in Zurich. Would I need to go thru Immigration in Zurich to connect to Kyiv? SwissAir entire trip.

I run sudo iptables -A INPUT -p tcp -m tcp --dport 2222 -j ACCEPT in bash and then tried to connect to that machine via another machine on the same LAN / subnet via port 2222 with PuTTY and it didn't work. Maybe I need to restart iptables after I add the rule for it to take affect? If so how woul...

Two extended bodies are connected with a string and revolve around each other (that is, around the center of mass of this system). No gravity, no external forces. The string is cut, and they start to depart from each other. Will they spin around their own centers of mass? For a (representative) p...

Exodus 13: 21 And the Lord went before them by day in a pillar of cloud to lead the way, and by night in a pillar of fire to give them light, so as to go by day and night. 22He did not take away the pillar of cloud by day or the pillar of fire by night from before the people. There were two dif...

Let $F$ be a real closed field. Let $X$ be a positive-dimensional algebraic variety over $F$. If $X$ finitely many $F$-points are they all singular?

I learned basics of the piano mostly from youtube, intervals, various chords formulas including sevenths, diminished but I try to very closely follow the best practices. I learn inversions and hand positions through some more complex pieces (complex to my current level). Everybody says it's super...

Assume that $f: \mathbb{R^3} \rightarrow \mathbb{R^3}$ is a function such that $$ f(a) \times f(b)=a \times b $$ for all $a,b \in \mathbb{R^3}$, where ''$\times$'' denotes the cross product in $\mathbb{R^3}$. Does $f$ have to be a linear mapping? Motivation: If $f$ is linear and satisfies the abo...

According to "Does the center hold?" by Donald D. Palmer, Socrates's main argument during his trial was that "he knew nothing". But Socrates discussed various topics with many people, he had knowledge in many areas. Can we then consider him a liar?

While European Dragons are often described as bat-winged, there are many depictions showing otherwise. Some give them fins or sails, and others depict a structure never seen on a living animal This structure resembles a fin with many rays projecting down from a horizontal 'spine'. The rays also f...