Let's say that a professor gives a series of problems, among which the students must solve and present one appropriately, an assignment (in mathematics) as it has always been done at university. The professor is accustomed to presented solutions having between one and two sides of the page, but t...

I was thinking of having large ships made from asteroids in my setting, and I was wondering: How effective of a heat sink would the (very thick) shell of an asteroid be? Would it be significant(probably from sheer volume), or is it a very bad idea? To clarify, the ship is built into the asteroid ...

I read this many years ago (80s or early 90s) almost certainly in an anthology in book form. A spacecraft was in distress of some form, and had lost all communications, but somehow managed to cobble together a radio that could transmit in Morse, by then ancient and almost unknown. In the nick of...

I am trying to get a statistical hypothesis translated to English as part of a paper to be submitted for peer review and am not sure whether what I came up with is the correct translation. "It is assumed that there is no statistically significant difference in the measures of the variables within...

I was recently contacted by an employer that wanted to hire me as a Customer Service Officer. They have three ways to pay you: direct deposit, wire transfer, and cash transfer. I did the training with them and before I even started. They want me to be an online manager for the company as they wan...

The recent paper Calin Tataru, Partial orders are the free conservative cocompletion of total orders. arXiv:2404.12924 has shown that the conservative cocompletion of the simplex category $\Delta$ is the category $\mathsf{Pos}$ of posets. There are a number of other important "categories of geo...

I know about the shields fighters wear on other planets, but it's said repeatedly that use of shields on Arrakis attract the worms. So if nobody wears shields there, what is the downside to guns or lasers on Arrakis?

I want to study a QFT, given by an action $S$ which is defined in $(2+1)$ dimensions, i.e. $$ S=\int d^3x \mathcal{L}[\phi,\,\partial\phi]. $$ This QFT is invariant under rotations, i.e. in radial coordinates $r=\sqrt{x^2+y^2}$ and $\theta=\tan^{-1}(y/x)$, the action is invariant under a transfor...

I'm trying to train up on isolated power converters and magnetics. I am going through a webinar series created by Electronic Minds out of the UK called Powerful Knowledge. It's on YouTube if you'd like to see it for yourself. In episode 3 titled "DC-DC Conversion" at 29 minutes he shows the Vds, ...

Think of a one-dimensional infinite walk as a map $$w\colon \mathbb{N}\to \{-1,1\}.$$ (If it is more convenient, you can think of a walk as a subset of $\mathbb{N}$, or as a binary word, or as any other convenient model.) Similarly, a finite walk, say of $n$-steps (for some integer $n\geq 1$), ...

During this stand up routine, it is claimed that the American government judges the severity of storms based on whether Waffle House is still open. I was just wondering how much of this video about Waffle House is factual. I was in Atlanta a few weeks ago and I went to a waffle house that didn't...

Hand luggage and hold luggage are both screened. With regard to dangerous goods different rules apply to both. At the gate, if the hold is full and passengers are permitted to put their hand luggage down in the hold, are these bags rescreened for lighters, lithium batteries or powerbanks? These a...

(From A Terrible Kindness by Jo Browning Wroe, Part I, Aberfan, chapter 11) And then, at the dinner dance, with that kiss, he dared to believe they had a future. But Aberfan has scooped out the core of him, stretched it thin and catapulted it into the wild blue yonder. Maybe that's why he's here...

Let $G$ be a lie group and $M$ a manifold. Let $A : G \times M \to M$ be a proper Lie group action. It seems to be a well known result that in this case $M$ admits an invariant metric $g$. That is for $h \in G$, $A(h, -)_*g=g$. However, I only know a proof (thm 3.0.2) in case $G$ is compact. More...

In the Dune series, the Spacing Guild has a monopoly on interstellar/faster-than-light travel, and its Navigators need massive amounts of spice to gain the prescience that allows them to plot their FTL jumps safely. My question is: at the start of the original book, who actually knew about the Gu...

Enzymes increase the rate of a reaction. They cannot affect the rate constant thus the rate of both the backwards and forwards reaction is increased. This means the same enzyme catalyses the forwards and backwards reaction. But then why do cells sometimes have different enzymes for the backwards ...

What does this picture represent and why?

Microsoft's maintains a list of bad DLLS. This is one item on that list (emphasis mine) UMPPC*.DLL and SCRIPTCONTROL*.DLL These DLL files are loaded in to the address space of SQL Server related processes if you enable the Additional User Mode Data prevention setting for CrowdStrike Anti-Virus/E...

This is a completely post-scarcity society. Robots and automated systems run the economy and most research. AIs are commonplace, and available to all in the human-like, completely obedient, and super-intelligent varieties. Carbon nanotubes and diamond filament structures are old news. Asteroids a...

GCC and Clang both compile bool pred(); void f(); void g(); void h() { if (pred()) { f(); } else { g(); } } to some variation of # Clang -Os output. -O3 is the same h(): push rax call pred()@PLT test al, al je .LBB0_2 pop rax ...

The service to my home is 100A but the main panel is rated for 150A and has one 40 amp breaker (stove) one 30 amp breaker (dryer) four 20 amp GFI (bathrooms, kitchen) sixteen 20 amp breakers (lights, outlets) two 40 amp breakers at the bottom My Questions: I have a 150A panel on a 100A service...

what is it called when someone does not know their true purpose or role in life?

I am trying to understand what it means for 2 qubits to be maximally entangled. When I look for information online or in books all I can find are rigorous mathematical definitions which I find a bit hard to understand and no explanation on the intuition behind them. I am hoping someone can explai...

I'm trying to model squishy spheres/ balls, like these: Like in the two images, I would like to have an object on top of them causing the indent/ squeeze. I've tried using the sculpt mode and also proportional editing (smooth) but wasn't too happy with the results. I admit I'm new to Blender/ 3...

If you define \bletter with \DeclareRobustCommand\bletter[1]{\textbf{#1}} it works fine even within section commands. But if you want to use it in an \edef or \xdef command, \bletter will be broken (except if you define \let\protect\noexpand). That means: \xdef\boldyletter{\bletter{y}} will throw...

In D&D 5e, if the secondary target of the Chain Lightning spell (one of the 3) casts Hellish Rebuke as a Reaction, is Hellish Rebuke resolved against Chain Lightning's first target (the original victim from who the three additional bolts spring) or against the spell's caster?

恋人とかいるんすか? 俺は仕事が恋人なんでね 出た昭和ぎゃぐ What does 出た here mean? As far I can see the sentence is akin... "Do you have a girlfriend?" "My job is my lover" "A showa era joke"?

This is purely idle curiosity, but: has there ever been an instance (in any format) where Batman's utility belt doesn't contain the item he needs to solve a problem? (The answer was not obvious from a quick web search.)

In his letter of 03 May 1888, Otto von Bismarck, the then-Chancellor of Germany, wrote to Prince Heinrich VII Reuß, the then-Ambassador of Germany to Austria-Hungary: Durch einen Angriff auf das heutige Rußland würden wir seinen Zusammenhang festigen; durch Abwarten seines Angriffs aber können w...

A cardinal is Reinhardt if $\kappa$ is the critical point of a nontrivial elementary embedding of $V$ to itself, where $V$ is the class of all sets. As Reinhardt cardinals are inconsistent with $\mathrm{ZFC}$, work in $\mathrm{ZF}j$, which is $\mathrm{ZF}$ with replacement and separation for form...

Why is the door not rounder? I understand it's main purpose is to block sunlight from entering the telescope. Especially the right side (in the provided image) seems to waste material. But also the two corners on the left side could have a larger radius.

I am facing this duplicate item issue while creating the item in Sitecore programmatically. I have exposed one custom API end point which is being called by another application. In this API, based on request received, I am creating the items in Sitecore. In normal way everything works file, Site...

I encountered a post on locales and geometric theory here https://grossack.site/2022/05/22/locale-basics.html In about the middle of this blog, the author gives a geometric theory defining a function from $\Bbb N$ to $\Bbb R$, and asked: Do you see why this is a nontrivial theory with no classica...

I chose a data science undergrad degree in the best-ranked business university in Peru (where I live). I've always been very interested in math and in programming so I thought I made a great decision. After studying this degree for one year and a half, I feel that I've made a very bad mistake; no...

I am new to both Python and Blender. I am trying to add or change a keyframe on a specific geometry node within Blender. I found a code snippet that demonstrates how to keyframe a general property within Geometry Nodes, but I am unsure how to apply this to a specific node, such as a Value node. H...

To solve the puzzle below, the standard rules of a fill-a-pix (or mosaic) apply: Paint the squares around each clue black so that the number of painted squares, including the square with the clue, matches the value of the clue. Additional note: every clue that should be a 0, 3, 6 or 9, is given....

I have gotten an output that works for my sum, but I need to exclude one value in count(D). I want to exclude from the count in column D all cells containing the text ZERO. I've been researching and cannot seem to find the solution. (ZERO is 0.00 in column C.) =QUERY(A4:J,"Select H, sum(C), count...

I have thought about it and currently it is mostly considered to be an absolute fact that time is uni dimensional and only goes one way, or naturally only go one way, or forward, but if time weren't naturally going only one way, but forward and backward naturally, what would be the implication on...

I've recently come across 'CUPED', a regression adjustments technique to create unbiased estimators in experiments. Likewise, I have prior familiarity with difference in differences (DiD.) As I understand, DiD makes the assumption that treatment groups and control groups are changing at the same ...

The sequence (from my child's "for fun" challenge packet, not for credit or graded) is: 4,4,2,6,2,10,4,_ The possible answers are: A) 15 B) 20 C) 25 D) 28

On the 6502, the brk instruction is a software interrupt. Like any other interrupt, it pushes the status word to the stack and then the program counter, before transferring control to an interrupt routine. But the weird thing is, the processor sets a bit in the status word as it's pushed to the s...

The below result is from Linear Algebra Done Right, 4th edition, Sheldon Axler: 5.11 linearly independent eigenvectors Suppose $T \in \mathcal{L}(V)$. Then every list of eigenvectors of $T$ corresponding to distinct eigenvalues of $T$ is linearly independent. Firstly, cool result. Secondly, I'm...

I was told that a secular Jew can choose his wife's minhag to follow after marriage since minhag avot does not apply.I haven't seen a source for this and was hoping for supporting references.

I am flying from Canada to the US and I left my green card in the US. All I have with me is my Canadian passport. Will they let me into the US and onto my flight? If not what should I do?

A right-angled triangle has sides of integer length. Its area (in square metres) is twice its perimeter (in metres). What are the lengths of the sides? The equations I have made so far is: Using Pythagoras' Theroem and Area Formula: $$\frac{ab}{4}=a+b+\sqrt{a^2+b^2}$$ Using Heron's formula: $$s(s...

As the title, I want my table place in the middle of paper. It is also to notice: LaTeX Error: \begin{document} ended by \end{longtable}. how can I fix it ? This is my code: \begin{longtable} \centering \begin{tabular}{|c|c|c|c|c|c|} \hline Authors \& Contribution & Topic &...

I was looking at adding a Y/C video input to an old TV. But it's got a hot chassis so it's not a trivial task. I thought i could just capacitively couple the Chroma line, but then i looked at the "input isolation board" and the circuit looks like this: The tuner is capacitively coupled as usual ...

After I put in eye drops, I need to keep the head still and in a state that it is fixed at a tipping position for 2 minutes so that more drops get into my eyes and don't come out too much. The verb "tip" or "lean" are action verbs which means to move the head into a slanting position. I am not s...

We know bitcoin has at least 4 completely different address formats. They are legacy format, bch32 script, segwit. I know each address format means different transaction types, for example pay to public key hash, pay to script, or segwit payment. But my question is why not wejust use one kind of ...

This is just a program that displays summary statistics about discord messages sent to a certain user using a Discord data package. The CSV of messages to a user is "c{idOfChannel}\messages.csv". It's formatted as: ID,Timestamp,Contents,Attachments I'm semi-new to programming and have always be...

This discussion of WPA3 OWE seems to imply that WiFi at Starbucks/the airport/whatever can be secured against an evil twin attack if they use PSK instead of OWE. But it seems like that wouldn't actually do anything. If I'm at some place with public WiFi, that necessarily means the PSK is public. ...

For a very long time I believed that the speaker membrane just moves according to the amplitude of a electrical signal fed to it. Like, If at any instant, the current/voltage is at c% (0 <= c <= 100) of its amplitude (in positive direction), I thought speaker membrane would also be at c% displac...

I would like to plot the function arcsin(sin(x)) within an axis environment using PGFplots. The behaviour I obtain leads me to believe that the functions arcsin and sin cancel each other before anything else to produce the function x -> x, which is not exactly the proper behaviour. \documentclass...

Grouted pebble shower floor, tile walls. The rough, cement-like grout where the floor and wall meet, which resembles the banked curve of a race track, is slowly disintegrating, and there are gaps in some spots where water is certainly leaking. Can I simply mix some grout and recreate the "bank" o...

Postulate 3 of the postulates of quantum mechanics in Nielsen & Chuang states that Quantum measurements are described by a collection ${M_m}$ of measurement operators... and the state of the system after the measurement is $$\frac{M_m |\psi \rangle}{\sqrt{\langle \psi | M^\ast_mM_m |\psi \rangle...

I'm working on a project where I'm trying to position various objects on a plane using a particle system. (see pictures) The problem is that the object ends up outside the shape, and I'm wondering if there's a way to keep it within the plane? The file: Vertex Groups > Density

I took photos and video of a place that I liked, to use it in my website. I now see that the video scenes look better than the photos. May be due to resolution, I am not expert. My question is, how can I take a scene from my video by keeping its resolution at the same time? I am not talking about...

I have noticed a slight change in the standard documentation of FIPS-202 and ISO/IEC 10118-3 documents for algorithm 5:rc(t) as below: ISO/IEC 10118-3 Algorithm 5: rc(t) Input: integer t Output: bit rc(t) Steps: a)If t mod 255 = 0, return 1. c)For i from 1 to t mod 255, let: b) Let R = 10 000 000...

for some context: I was self-studying and got confused about this question. This is a past paper question from the CAIE O Levels Board and its reference code is shown in the image attached below. I don't need help with the actual question, but rather the underlying concept. My Thinking: As seen i...

I am new to LaTeX and TikZ. I need to draw a timeline with text written in different colors representing different parallel steps of my project. Here's my code: \documentclass{standalone} \usepackage{tikz} \begin{document} \begin{tikzpicture}[% every node/.style={ font=\scriptsize, ...

The Bible says that Joseph was not the biological father of Jesus because Jesus was conceived by the power of the Holy Spirit. However, I have heard that Augustine may have suggested that the differences between the genealogies in Matthew's gospel and Luke's gospel led him to conclude that Joseph...

My friend, who is a PR of Canada, wants to bring her parents to Canada for some months, so that her parents can see her new baby and spend some time with her. They are retirees and don't have much income other than pension. They have a good house at home and are comfortable in India. They applied...

The Ballygullion stories are a series of short stories in several volumes by author Lynn C. Doyle. (Anyone here familiar with them? I've never read them.) The following anecdote was published in a law journal, as a true story. The fact that Ballygullion seems to be entirely fictional makes me d...

I often encounter sentences constructed like this: As a teenager, my family was poor. My guts tells me that if you define a subject like that with "as" (or "being"), the following part of sentence should also base on the same subject, so rather: As a teenager, I was poor. That would also be a...

I am interested to explore different ways to organize information, for example in different libraries and archives or even museum. And I wonder whether there are philosophies that discusses the epistemology of structures of organization of information - are there? Will appreciate any assistance a...

I'm doing a bit of research, as a newbie interested in a versatile walkie/HT to be used in Spain, mainly for mountaineering purposes. As far as I've read, it's possible to receive and emit in PMR446 (and CB? only?) with not even the HAREC exam. My question is about specific equipment suggestions ...

If an object is accelerating when it enters water, will the buoyant force equation be changed to $B = V\rho(g + \text{acceleration})$? Or will it remain the same?

I have cans (most likely glass cans) stocked in a barn. During winter temperatures may sometimes become negative, leading freezing/thawing. Since the cans are not altered, it is safe for me to consume the contents ? I assume that this is not a problem given that, for example during transport, can...

I have set up a workspace named "foo" and set its namespace to "bar". How can I find out its namespace setting via the REST API? The information is not included in a call to /workspaces/foo nor in the /namespaces/: $ curl -u "admin:geoserver" -X GET "http://localhost:8080/geoserver/rest/workspace...

In an recent test I was asked to evaluate the integral $$ \int_0^1 \frac{\sqrt[3]{x^2(1-x)}}{(1+x)^3} \text{d}x$$ in 8 minutes, but I didn't have a clue what to do with it. After the test, I tried the following approach: substituting $x=\frac{1}{t}, u=\sqrt[3]{t-1}$ gives $$ \int_0^1 \frac{\sqrt[...

Someone is trying to use a device and realizes that it is not working. So he says: I will try and get it working. ITV-dental crisis (see:4:00-4:12) The structure "get it working" reminded of a similar structure with similar meaning (causative): "get it to work." Grammatically, they both seem to h...

Here is what I mean. For example, usually you save your Safari downloads to ~/Downloads. But today you have found a useful PDF on the web, and you want to save it to ~/Documents/your_project. You have never saved files from Safari to this folder, and therefore you won't see this folder in "Recent...

Is semantic security equivalent to IND-CPA? If a PKE scheme like ElGamal is semantically secure, can we say it is IND-CPA? What's the relationship between semantic security and IND-CPA?

In John 5:31, Jesus said the following: If I testify about myself, my testimony is not true. There is another who testifies in my favour, and I know that his testimony about me is true. ‘You have sent to John and he has testified to the truth. Not that I accept human testimony; but I mention it ...

Given a set of $N$ i.i.d samples $\delta_1, \dots, \delta_N \in \Delta$, where each $\delta_i \sim \mathbb{P}$ is distributed according to some distribution $\mathbb{P}$ over $\Delta$, i.e., $(\delta_1,\dots,\delta_n) \sim \mathbb{P}^N$. If we select a subset of size $M \leq N$ of the samples uni...

I'm currently working on a proof in the random oracle model, where a single random oracle is used in multiple places. Each use is domain-separated so I was thinking of representing it as multiple random oracles for simplicity. Is this valid for the proof? I can't see why it wouldn't be but I can...

I want to record my screen on Windows 10. I did a little research, but didn't find a tool that satisfies all of these criteria yet: Free Basic editing features (just cut a little) No complex interface (OBS, sorry, you're eliminated) Can you please suggest at least one option?

According to the book I am currently reading, we should prefer GLMs over a simple transformation model (e.g. $\log(y) = x_i^T \beta + u_i$ ) The argument is derived by Jensen's inequality: $$ E(\log(\text{y}) \mid x) \leq \log E(\text{y} \mid x) $$ $$ \exp\{E(\log(\text{y}) \mid x)\} \leq E(\text...

I am a part-time psychology PhD student. In the first 12 months of my PhD, I have fully drafted a systematic review for publication and written my confirmation document, which is approximately 14k words. My confirmation is next week. My health is pretty terrible and I have been honest with my sup...

Group all of these words into 4 groups. All the groups have a certain famous individual in CINEMA as their theme. WHITE BLONDE HEAD GENERAL MAMBA MAJOR APACHE SEÑOR PINK MOUTH HUGO MOUNTAIN-SNAKE DAISY OMAR BROWN BEAR

I am trying to determine the order of the transfer function of the RC circuit shown below. I learned that the order of the transfer function is equal to the number of independent initial conditions that I can assign to the capacitors in the circuit, which are also known as independent state vari...

I'd just appreciate if anyone can suggest some incremental improvements that would help me to think better like a coder. Here is the very basic RPS (rock, paper, scissors). One thing I may next add is some tests. import random import sys from enum import Enum welcome=''' Enter 1 for Rock, 2 for ...

When using alignedat to center numbers in equation. \usepackage{amsmath} \begin{document} \begin{equation} \left. \begin{alignedat}{5} a=&\frac{\frac{123 \sqrt{\frac{45}{6}}}{789}}{\frac{1011 \sqrt{\frac{12}{3}}}{4567}}&=&\frac{891}{1123}\\ b=&\frac{\frac{456}{789}...

Sometimes, it is more convenient to use array to align something in equations in LaTeX. However, the array displays more smaller font compared to the alignedat or aligned. \documentclass{article} \usepackage{amsmath} \begin{document} \begin{equation} \left. \begin{alignedat}{10} ...

We have a 2011 Chevrolet Orlando. A few weeks ago one of the keys snapped off: Today, exactly the same thing has happened to our other key so the car is now stuck on the drive. The fobs themselves still work to lock the car. My question is can I simply get a new key cut and swap over the interna...

We need to Tally a list of lists only by considering the first element of the sub lists and then sort the resulting list. As a simple example consider list={{1, a}, {2, b}, {3, c}, {1, d}, {1, b}, {3, g}, {4, a}, {3, f}, {3, c}} We need the output as follows: (* {{4, {{3, c}, {3, g}, {3, f}, {3,...

data = {{4.66082, 0.391759}, {7.08804, 0.182339}, {8.53507, 0.720834}, {11.2089, 1.02641}, {6.66469, 0.413393}, {0.537794, 1.00807}, {0.669767, 0.519532}, {10.8742, 0.754568}, {11.201, 0.297006}, {5.93108, 0.463403}, {0.491355, 0.558849}, {3.09213, 0.100791}, {0.938854, 0.373559}, {10.4945, 0.558...

It is about a humanoid robot with an all-metal body, except for the head. His head was that of a bald African-American man and instead of eyes he had something silvery metallic inlaid. At one point in the film, he kills a blond guy with a beard or long hair and cuts off his head with a sword to u...

I teach music in a public elementary school setting. Many teachers (of subjects other than music) have an in-room amplification system. They wear a microphone, the sound of their voice is amplified in a mounted speaker (either in the ceiling or wall-mounted). The idea is that teachers won't ti...

I am all the time reading that gravity is actually the curvature of spacetime according to General Relativity established theory and not a force like the known three fundamental forces of nature, Electromagnetism, and the strong and weak nuclear quantum forces. However, my intuition says, that th...

I'm trying to do a replace string operation on all files except those in .git folder and all pycache directories which can appear nested in any nested directory. I'm executing the script in the root directory that contains a .git folder. for /r /d %%F in (*) do ( echo Checking: %%F if not "...

How to use a shader from texture 3 to make texture 4 (see attached image)?

PlusOrMinus is an esoteric programming language invented by Esolang user PythonshellDebugwindow. Language specification There is a wrapping byte accumulator (incrementing 255 results in 0 and decrementing 0 results in 255) in the language. There are two instructions in the language: +, which inc...

The following code prints whether std::atomic<bool> is trivially copyable: #include <atomic> #include <iostream> #include <type_traits> int main(){ std::cout << std::is_trivially_copyable_v<std::atomic<bool>> << "\n"; } It gives the following result on gcc and clang: 1 demo (gcc+clang) But...

I want to find the first minimal element and its index of a 64 element long array with the avx512 instuction set. The code works and is in the context of a function that is faster than the equivalent written in pure C (I have this code embedded with inline asm in cpp and tested against an equival...

Good afternoon, Could anyone translate these characters for me on what I think is a Ming Taoist figure; Thankyou.

I'm basically trying to get what has been answered for this questions. This code doesn't seem to work any longer since it has been solved about 8 years ago. Is there a way to get a list of all the revisions of an entry using twig? Further I would like to access the data of the revisions to show p...

The context is the following: The characters are watching TV and they give an interview to a guy that is over 40 and never had a lover. One of the characters watching exclaims this. As far I'm aware 滅多に is used with negative, how does fit this sentence? I gather it's akin to "That kind of people...

I'm rehabilitating a cheap gravel bike. I'd like to alter a Shimano Claris 2400 groupset so I have at least a 1x1 lowest gear or preferably a bit better. I'm somewhat inexperienced, having replaced most bike parts at some point but having never figured out compatibility issues. Here's the current...

yesterday, a customer said: “if character size is 12 pt, You set interline x pt, if character size is 18, interline must be y pt…”like there is a corrispondence between character size and interline. Is it so? I mean: If I set Article class, 12 pt character or 18 pt, do the interline is always the...

I made a simple circuit with an Arduino Nano ESP32, where I have connected a 74HC595 8-bit shift register chip, as well as a 7 segment display with a 100 ohm resistor on common (cathode) to show the shift register's state. Expected Behavior Seven segment display shows binary counting from 0-255. ...

Could the arguments of German verbs be in the form of prepositional phrases? In other words, can prepositional phrases serve as arguments of the verbs, or do they always play adverbial roles and are to be classified as adjuncts? Assuming that prepositional phrases can indeed be arguments of ver...

I'm writing a script where I want to detect whether a given Flatpak package is installed, and take a different code path depending on the answer. How can I accomplish this? Traditional measures like command -v obviously won't work unless the user manually has taken the necessary steps to add Flat...

Her skins looks slightly green? I can't recognise any particular iconography sadly. The text does not seem to help at all and I wonder if it has been added later.

I've learned that $x^ \frac nm$ should be turned into radical form like $\sqrt[m]{x^n}$. Therefore $10^ \frac32$ should be turned into radical form like $ \sqrt {10^3} $. What I don't understand is how this is then further simplified to $10\sqrt10$. Could anyone please explain the steps?

I'm working on a conceptual explanation of quantum computing properties and have used analogies to make the ideas more accessible. I'd appreciate feedback on the validity of these analogies from those more experienced in this field. Superposition: Imagine a coin flipped in the air, representing a...

Does more lift cause a wing to stall later? (By more lift I mean a bigger wing) I was looking and saw this question, but the answers didn’t really address why more lift will help a plane not stall. For flaps I understand, as they reduce the AoA needed to make the same amount of lift. Now that I t...

Let's say there is a vimscript function that takes a dictionary as a parameter. In vimscript, it is called like this: call Vote({'name':'Phil Collins', 'band':'Genesis'}) I'm interested in what that function call (not the function itself) looks like in lua. The following statements work, but I w...