Find the last 3 digits of this number $$ 2032^{2031^{2030^{\dots^{2^{1}}}}} $$ So obviously we are looking for $x$ so that $$ 2032^{2031^{2030^{\dots^{2^{1}}}}} \equiv x \quad \text{mod}\hspace{0.1cm} 1000 $$ I also know that usually you use Euler' theorem here, but that only works when the numb...

I'm new to number theory. This might be kind of a silly question, so I'm sorry if it is. I encountered the classic lemma about every nonzero integer being the product of primes in a textbook about number theory. In this textbook there is also a proof for it provided, and I'd like to understand w...

On bash I press CTRL+R and typing vim bash return list of commands typed in past with vim string.Is possible to make something like this in vim history for commands starting with the : ?

I do not understand a concept about the Nyquist - Shannon sampling theorem. It says that it is possibile to perfectly get the original analog signal from the signal obtained by sampling if and only if the sampling frequency is higher than twice the maximum frequency of the initial signal. I can...

I am new to blender so I am trying to learn the basics so bear with me while I try to explain this. I am trying to extrude a face to a single point to make a spikey-looking shape and I only seem to be able to extrude the face outwards keeping the face the same size but I actually want the face to...

Could not find an existing duplicate question, but this may be due to not know how to describe the word/feeling! For example, given the following sentence: Francis could not look away from the blood-drenched vampire. The blood-soaked clothes and shimmering fangs were X And X is specifical...

How is it possible to standardize bitcoin and wrap it to the ERC20 format, creating smart contracts for Bitcoin. This should make it easier to write smart contracts that integrate bitcoin transfers apparently, but for my understanding this makes no sense since the code bases are alien to each oth...

What is the right way to express sadness in Russian? I often hear the expression мне грустно, which is formed with an adverb if I'm not mistaken. Recently I also heard about the verb грустить and its first person singular я грущу, which in my opinion could also be used to express sadness. Is thi...

Now that DX has been around for a minute and it's almost 2 years since this question was posed from a CLI perspective, I thought it would be worth asking. Is there yet a convenient way to remove expired scratch orgs from my list within VS Code? Currently when I click on the current default org...

I recently booked 4 plane tickets for the same flight for myself and three friends. I have a Known Traveler Number for TSA Pre-Check, but none of my friends do. When we printed our boarding passes at the airport, all four of us had TSA Pre-Check printed on the boarding pass. The same was true of ...

Create a program or function which takes a list of strings as input, and outputs the longest string that is a substring of all input strings. If there are several substrings of equal length, and no longer substring, output any one of them. This may mean outputting the empty string. If there are...

I am starting my research on group divisible designs this year and I wonder if there are any algorithms/software that help with constructions. Thank you

Neither "fly on a jet pack" nor "fly with a jet pack" sounds idiomatic, are they? And are there better alternatives, because I can't really think of other ways of saying it. For example: I fly on a jet pack above the lake to attract tourists. I fly with a jet pack above the lake to attr...

I'm implementing a homespun version of Ridge Regression with gradient descent, and to my surprise it always converges to the same answers as OLS, not the closed form of Ridge Regression. This is true regardless of what size alpha I'm using. I don't know if this is due to something wrong with ...

I have an issue trying to use javascript to get the circulating supply by requesting data from Tzscan API : HTML code to request the circulating supply : <!DOCTYPE html> <html> <head> <meta charset="utf-8"> <meta name="viewport" content="width=device-width"> <title>JS Bin</title> </head> <...

We've been trialling ArcGIS at work and are just about to buy. However, we have a PostgreSQL database which contains a lot of stuff we work with, which is named in all upper-case ("GISSTUFF", for instance). ArcGIS won't connect to it. We've contacted the ESRI support desk and they say it needs r...

I've recently come across this unusual (to me) Java syntax...here's an example of it: List list = new <String, Long>ArrayList(); Notice the positioning of the <String, Long> type arguments...it's not after the type as normal but before. I don't mind admitting I've never seen this syntax before...

I was looking through a plant catalog, and noticed that only one type of CANNA is edible. Why aren't other species edible also?

You know how most fonts and typography in general have characters/glyphs of various widths? Like if you compare a regular font: A E I O U Z X C V B a e i o u z x c v b They don't quite line up perfectly like a fixed width or monospace font does: A E I O U Z X C V B a e i o u ...

Does a vegan restaurant require a permanent mashgiach on the premises to be certified kosher? -For large factories that get a hechsher, supervision is limited to sporadic surprise inspections. (No permanent presence of inspectors.) -For meat or dairy restaurants, you need a permanent presence ...

Rambam states in Hilchot Yesodei HaTorah, Chapter 3, Section 9 that each of the planets have a soul, knowledge, and intellect. כל הכוכבים והגלגלים כולן בעלי נפש ודעה והשכל הם והם חיים ועומדים ומכירין את מי שאמר והיה העולם All of the stars and spheres possess a soul, knowledge, and intell...

In みんなの日本語初級I book I've noticed the word ことば　as the meaning of language (English, Japanese, Russian etc), but as I've got the most proper word for this type of language is 言語。The first variant (which is used in the book) is more for some abstract language. Why this one is used here?

I am interested in whether a US state constitution could be legally amended to ban exports of specific natural resources (such as coal, lithium or copper) outside it's own state borders. If such a ban were successful, there would presumably be a fusillade of federal lawsuits from entities that ...

Can anyone tell me how to unmask the e-mail addresses in a bcc field when I am just a recipient? Need very simple, step-by-step instructions for someone who doesn't code. I have received a group e-mail and would really like to see the others who got it. Thank you!

The following is an exercise from Qing Liu's Algebraic Geometry and Arithmetic Curves. Exercise 1.2. Let ϕ : A → B be a homomorphism of finitely generated algebras over a field. Show that the image of a closed point under Spec ϕ is a closed point. The following is the solution from Cih...

Say I need to simulate the following discrete distribution: $$ P(X = k) = \begin{cases} \frac{1}{2^N}, & \text{if $k = 1$} \\ 1 - \frac{1}{2^N}, & \text{if $k = 0$} \end{cases} $$ The most obvious way is to draw $N$ random bits and check if all of them equals to 0 (or 1). However, information...

I am trying to get all the similar sounding words from a list I tried to get them using cosine similarity but that does not fulfill my purpose from sklearn.metrics.pairwise import cosine_similarity dataList = ['two','fourth','forth','dessert','to','desert'] cosine_similarity(dataList) I know ...

Here are some isomorphic graphs and their corresponding adjacency matrices. I can draw the graphs with tikz. But I'm not sure the best way to draw the matrices. Is it possible to generate one from the other? What's the right way to approach it? Here's an example of the code to generate a grap...

I'm learning the CLI interface of Advanced Packaging Tool. From the output of apt(8) when its stdout isn't a terminal, it isn't suitable for "scripts expecting stable programming interface", so I'm taking a look at apt-get(8). One difference between apt update and apt-get update is that the latt...

When we use a complicated container in C++, like std::vector<std::map<std::string, std::set<std::string>>> table; the only way to add an empty map (which may represent a row or column) is to initialize a new element and push it back, for example, with table.push_back(std::map<std::string, std::set<...

I have an array like this: arr = {lst1: 300, lst2: 381, lst3: 4, lst4: 4, lst5: 49, …} And I'm trying get the lowest value with key using Javascript. What I've tried: alert(Math.min.apply(Math, arr)); returns Infinity I don't know why I got this on Google, just for try: var keys = Object.key...

Suppose there are two objects. const a = [ { id: '1-1-1', name: 'a111' }, { id: '1-1-2', name: 'a112' }, { id: '1-2-1', name: 'a121' }, { id: '1-2-2', name: 'a122' }, { id: '2-1-1', name: 'a211' }, { id: '2-1-2', name: 'a212' } ] const b = ['1-1', '1-2', '2-1'] and the result { ...

This algorithm (shown in the picture) finds the max element in the array. This is a proof by contradiction. Isn't this algorithm already proved when it gets to max >= A[j] in the last line of the second slide. Is which contradicts (2) even necessary? Because in the second slide you showed max ...

Do hobos exist in The Hunger Games? Or does everyone have a house or shelter to live in?

This is quite likely a super simple question, but I lack the descriptive power to be able to find the answer on Google! Consider the following two number sequences: 00, 10, 20, 30, 40, 50, 60, 70, 80, 90 45, 45, 45, 45, 45, 45, 45, 45, 45, 45 Both sequences have a total value of 450, but one ...

How can I change the format of the cell, which is currently being evaluated?

Set in the late 22nd century AD, spaceship designs are becoming more streamline and have longer body measuring from the tip at the front of ship to the thruster located at the back of the ship, the longitudinal strength of the body of the space vessel may experience different degrees of accelerat...

Is it possible for an arcane focus to boost spell attack or damage rolls? To act as a +1/+2/etc modifier, like stronger physical weapons.

I belong to a Christian family but I could never accept the fact that God can incarnate as a human. But I do not follow all 613 commandments either. I guess nobody can. I only follow Noahide commandments and never broke them. Is that enough for a Gentile to be saved?

I'm learning DOM XSS and I have this code : <html> <body> Select your language: <select> <script> document.write("<OPTION value=1>"+document.location.href.substring(document.location.href.indexOf("default=")+8)+"</OPTION>"); document.write("<OPTION value=2>Eng...

I married during my PhD and changed my legal surname however (for many reasons) I will continue to publish under my maiden name. My (UK) university says that a thesis has to be submitted under the name held in registration records. They seem happy for me to revert my registration to my maiden nam...

In /etc/sudoers, there is always: root ALL=(ALL:ALL) ALL However, the root user (with UID 0) doesn't need to enter password when they run sudo command. For other users, a password is required unless their entry contains NOPASSWD or a previous authentication hasn't timed out: user ALL=(...

I was looking for latest and stable versions of Magento 2. Is there a proper guide which version is latest in different series like 2.4 or 2.7 ?

Population: male is 100 female is 90 The population of males is higher than their "gender counterpart" Or The population of males is higher than their "female counterpart" Let's say you are trying your best to find the synonym of "female", so you used the bold words above. Which of...

I'm moving out of my current place in a few days. When I'm doing something a little annoying to my roommate, I joke, "sorry, this is (will be) like the 4th last time I do this", to mean that I'm only gonna do it 3 (a few) more times, so don't sweat, and forgive me. Am I using "4th last time" right?

A boy asks a person a philanthropist why he helped a lot of people. So he replied: I get happiness and satisfaction by / from helping people. So what will be used: from/by? (I read this somewhere)

When an adjective is used in structure “ in length “ as is the case with sentence below, does it change it's meaning ? We can cut lumbers into 5 meters in longest length . Or should i say : We can cut lumbers into minimum of 5 meters in length . If sentences are wrong ,please correct...

Tbh I don't really see any use for the "forgot password" button/link, unless the user put in a wrong password before. In my current project we need as much space as possible and I was thinking about showing it only when needed. My colleague talked about "Accessibility"-reasons why it is not possi...

I know that the picture might not help but I need some help as I don’t know if these cracks look bad. I won’t be able to replace tires for a while so I was wondering if they will be good to drive on freeway a few times in the next two weeks (https://i.sstatic.net/VQiAn.jpg)

This question asks about the smallest sling shot maneuver performed. What was the smallest intentional, acknowledged slingshot maneuver? I'm asking how small of an object without an atmosphere can a sling shot be performed?

I have a simple Json String [ { "assetName":"LCT", "assetValue":"", "typeValueInput":"select", "valueInputSelect":null, "required":true, "valueInput":"{\"data\":[{\"name\":\"name1\",\"id\":\"12\"},{\"name\":\"name2\",\"id\":\"13\"},{\"name\":\"name3\",\"id\...

When I read "The Song of Achilles", the book made repeated mentions of a wound on Odysseus's leg long before the Trojan War, but never really explains how he got it. What is the story behind it?

Let $(X_i)_{i}$ be a sequence of iid positive variables of mean 1 and variance $\sigma^2$. Let $\bar{X}_n = \frac{\sum_{i=1}^n X_i}{n}$. My question is: Can we can bound $\mathbb{E}(1/\bar{X}_n)$ as a function of $\sigma$ and $n$? (I am mostly interested by a lower bound) There seems to be some...

I need to design a CPA secure encryption scheme which is secure even after the encryption of secret key is given in the training phase i.e. in training phase Enc_pk(sk) is given.

What is a natural way to say: 1- It's better to give priority to this task. 2- I need to set priorities. 3- I need to get my priorities straight. I'm finding expressions like: (приоритизировать, уделять первоочередное внимание, определить приоритеты) but I'm unable to know whether some are t...

In Captain Marvel, we see Monica doing "fashion designing" for her aunt Carol. What's strange is that how does a kid with nil exposure to Kree tech know how to operate the "designer device". It could be said that she was doing random guesswork. But, at a point, Carol says "Let's copy your T-shir...

Here is a dialogue from Dilbert: Pointy-Haired Boss: Now let's hear what Dilbert did this week. Dilbert: I unnecessarily duplicated Ted's work because you forgot you asked both of us to do the same task. Pointy-Haired Boss: And how about Alice?. Alice: You're three for thre...

I'm trying to use find inside a loop to create a variable that contains a file matching the filename + desired string Example: file1.en.srt file1.mkv file1.pt.srt This is the relevant part of the code: shopt -s nullglob shopt -s nocaseglob if [ -d "$1" ]; then for file in "${1%/}/"*mkv; do...

I use this command awk 'NR%2{t=$1;next}{print $1-t,$2}' to get the distance between two consecutive Y points in a file. But I would like to have all positive numbers. How to get that ? like something as modulus. 1577 -46.1492 1577.57 47 1578 -47.6528 1578.87 49 1579 -49.2106 1580 -50.7742 158...

So, I'm pretty new to Dnd, and right now I'm trying to make a character starting at a higher level for a campaign, and the DM is allowing us to start with some magical items of our choice. Using the Wayfinder's Guide to Eberron, I decided to make a Warforged, and the Warforged race has a few ex...

I own a Giant Toughroad SLR 2 bike, it's an hybrid bike and I'm planning to register myself in a Seattle to Portland ride. It's a 2 day - 200 miles ride from Seattle to Portland. The question is would this bike make it or do I need a road bike? What modifications would you recommend to use my b...

I found the following one but as far as I can tell it is totally biased towards staying in the EU. https://comparethebrexit.com/ How can I get an impartial view of the effect of different deals (including Norway and Canada if possible).

I Just want to know the name for this if there is one because I don't think it satisifies any of the formal definitions for sets, n-tuples, sequences, combinations, permutations, or any other enumerated objects I can think of. For convenience, I will henceforth use the term $\mathbf{\ set^*}$ wi...

I try to get all same data value into an array of object, this is my input var a = [{ name: "Foo", id: "123", data: ["65d4ze", "65h8914d"] }, { name: "Bar", id: "321", data: ["65d4ze", "894ver81"] } ] I need a result like : ["65d4ze"] I try to loop on my obj...

This is my first post on the site! I'm 15, a pianist, and have been interesting in conducting for a long time. I know quite a bit about it, I bought a book on it, have a few batons, a favourite conductor, have been to quite a few concerts mainly to watch the conductor. I even had a conducting tea...

The guards group near the campfire. None of them wants to leave the warm flames, yet someone has to go to make the patrol along the border. Of course, in this situation, the youngest of them is the one that must do the duty. He picks up a torch and leaves the others behind. Nearly a half league ...

If you lok, you will fid: There's an empty place Whee the laws of the wld are cmpletely disgraced. {2} In th spring, in this and, the hunting dries out; And y midsummer's day Hunter's nowhere abou. {4} In the fall, just 'fore dan, he again pokes aound (Though it' soon that he finds that n hun...

Lets assume, by the means of some advanced scientific discovery, scientists find a way to teleport simple matter to any part of the world. Using this process, if we teleport fresh water and small icebergs across the world, will it help eradicate drinking water crisis all over the world?

I updated QGIS and accidentally rewrote 2.18 as ltr with 3.4 Madeira. My apps work with older version. This means there must be qgis-full and qgis-ltr with version 2.18 to make them work correctly. How can I restore my previous installation or find packages for installation from local folder. I u...

ubuntu 18.04 on AWS I followed an answer on stackoverflow to create a path alias: nano ~/.bashrc alias myfolder='/home/xxx/pms' When I try to cd cd myfolder I get: No such file or Directory But if I use the path it works. I am not sure what the issue here is. TIA

I just accidentally deleted an important file in :Ex (I thought I was still typing a search string and hit Shift+D and then Enter immediately). Can I unmap this entirely to avoid this (stupid and not very likely, but still annoying) risk in the future?