The Lyusternik-Fet theorem states that every compact Riemannian manifold has at least one closed geodesic. Are there any easy-to-construct1 examples of compact Riemannian manifolds for which it is easy to see they only have one closed geodesic?2 If there aren't any such examples, are there any...

I'm sure you've all noticed documents in English from the 1700's often have 'F' where, if written now, there would be an 'S'. You can see what I'm talking about a few times in this example, like at the beginning where it says "Prayers faid" or in the date "Tuefday November 26. 1700." What's goi...

It is a well-accepted axiom of modal logic truth implies possible truth. Is there any philosophical argument against this conclusion? In other words, should truth entail possible truth?

I work in US on a H1 visa and my parents are visiting for couple months. My mom has developed arthritis and I wanted to get second opinion from a doctor in US. I understand healthcare costs are really high in US, so trying to get more clarity on the following: Since I work in US on H1B visa, i...

I'm new to Python, for a school project I created a "fishing simulator". Basically, use of random. I know that my code is repetitive towards the end but I don't know how to simplify it. import time import random fishing = True a = b = c = d = e = 0 #define multiple variables as same thing print ...

I'm a ( an old style ) basketball fan and when I was reading this article And I encountered this line, Walton inherited a team that was ripped to the studs by Kobe Bryant's retirement tour and propped up by a pair of the NBA's worst contracts — Luol Deng and Timofey Mozgov, one of whom is st...

There was the city of Dale. Its markets known far and wide. Full of the bounties of vine and vale. Peaceful and prosperous. For this city lay before the doors of the greatest kingdom in Middle-earth: Erebor. This is the script of the movie The Hobbit: An Unexpected Journey. I've ...

As my title suggests, I read this story in a magazine - "Galaxy" or "Worlds of If" in the mid 1960s. The science fiction content was pretty minimal. The tone was Robert Sheckley-esque, but I don't think it was actually by Sheckley. The main character of the story is the number two agent in an org...

Suppose I used to hold a tenure-track math position at a R1 institution, but then I was denied tenure. Assume I do not care about job security (and never cared) and I would be more than happy to keep working under the same conditions and would work just as hard as I worked before tenure denial. T...

I use the following code to manually draw arrows from one table cell to another. \documentclass{beamer} \beamertemplatenavigationsymbolsempty \usepackage{verbatim} \usepackage{tikz} \usepackage{pgfplots} \usetikzlibrary{arrows, arrows.meta, positioning} \begin{document} \begin{frame}[t] \frameti...

So I am given a group $\mathbb R^3$ and a group $H$ = {$(y,0,0)|y \in \mathbb R$}. I have to prove that that $\mathbb R^3/H$ $\cong$ $\mathbb R^2$. I am not sure how to even begin. My difficulty is coming up with a map between the the two sets. I have already verified that $H \unlhd \mathbb R^3$....

I am an Indian. I am doing my research in the USA(Saint Louis). I will be going back to India and then will be going to Europe for academic conference( Spain 20th to 25th of May, then Hungary 26th May to 1st June and then Italy from 2nd June to 7th of June) from India this summer. I am completely...

A friend is using the sentence, “Nobody was packing there,” in an historical novel set in the 1885-90 timeframe. I suspect “packing” was not used in this slang format until 30-40 years later? Does anyone have corroboration?

Using the following code \documentclass{beamer} \beamertemplatenavigationsymbolsempty \usepackage{verbatim} \usepackage{tikz} \usepackage{pgfplots} \usetikzlibrary{arrows, arrows.meta} \usetikzlibrary{matrix} \begin{document} \begin{frame}[t,fragile] \frametitle{} \begin{tikzpicture} \matrix (x)...

How to solve inequalities in which we have quadratic term and greatest integer function. $$ 2< x^2 -[x]<5$$. [.] is greatest integer function. Do we need to break into the cases as [0,1), [1,2) and so on?

Background: I'm a relatively inexperienced developer trying to write software to interface with a PCI motion controller. I'm using C (compiled with gcc) on Ubuntu Linux 18.04. The program I'm writing needs to regularly check for unsolicited status messages sent by the motion controller (approx....

There's a section of the melody of Kyari Pamyu Pamyu's song ふりそで〜しょん, specifically the part preceding the chorus, where the composition shifts from a relatively straightforward A mixolydian melody to a rather exotic line which travels over the the following chords, 2 measures: Dmaj -> C♯ min -> ...

The NPR News article and podcast Scientists Share Results From NASA's Twins Study says: SCOTT KELLY (NASA Astronaut): You know, the symptomatic stuff is fine. I don't have any long-term negative feelings, physically, from being in space. Now, there's the things you can't feel. And hopefully, ...

Let $f:X\rightarrow Y$ be a morphism of schemes. We know that if $Y$ is affine and $f$ induces homeomorphism on the underlying spaces then $X$ is affine. Is it true that if $X$ is affine and $f$ induces a homeomorphism on the underlying spaces then $Y$ is affine? More generally, is it true that...

I have a 5V 1500 mA charging/power cord for a camera that was too short to reach the mounting position I need, so at the suggestion of my electrical engineer father, I decided to try to lengthen it. He said to just twist and tape the wires together but I wanted a sleeker look so I decided to try ...

I was reading similar question as mine here. But no one talked about Nitrogen Dioxide (NO2). Its boiling point is 21C. So easy to store. But how easy it is to handle compared to Hydrogen Peroxide or other oxidizers? Is there any better Liquid oxidizers that amateur rocketeers can use?

Even if/though we couldn't manage without their help, I wouldn't ask them The correct answer is "Even if" because (as I understand) only even if can be used in conditional sentences. Even if we couldn't manage without their help, I wouldn't ask them. We didn't as them for help and we wouldn't ...

Assume we want to define a context free grammar of say a programming language, where on each line everything after the character # until the end of line is considered a comment and should be ignored. How to express that in a context free grammar?

I saw there is a proof for invertible matrices, but I don't know how to put this mathematically for a transformation. How do I prove an invertible linear transformation has the same eigenvectors as its inverse?

Xiaomi Mi 9 and Redmi Note 7 Pro have same camera sensor Sony IMX586 Exmor RS. So, did both smartphone have same image quality output when take picture?

The following shows the conversion of an acid to a weinreb amide: It was taken from the IChO 2015 preparatory problem set problem 23. In this two-step synthesis, I am slighly puzzled by the first step. The rationale behind first forming the ester is that we would like to synthesise an acid der...

I'm using ubuntu 18.04.2 on my desktop and running sql server 2017 from docker. I want to use sql server management studio to manage the server. SO far now, I have a windows 7 enterprise with with ssms 17.9.1 and it works ok It's really annoying having to boot a whole windows enterprise just f...

We know many about Linux software ipmitool, but I do not know if there is a similar ipmi management tool for Windows. Anybody can recommend one for me?

I am looking for a typeface which is similar or identical to Times New Roman, except for a "tied" percent sign, like so: I need it for MS Word so welcome suggestions of similar typefaces available in Word.

I have a log file. For every line with a specific number, I want to sum the last number of those lines. To grep and cut is no problem but I don't know how to sum the numbers. I tried some solutions from StackExchange but didn't get them to work in my case. This is what I have so far: grep "3020...

i would like input from anyone that uses cumin in their food. I inherited a jar of the seasoning when my mom moved out of state. Better to give it away than throw it away. Unfortunately I have no clue what to do with it. I've had this jar for a while. And I'd like to use it before it goes bad. I...

I am planning to upgrade my group set to 11 speed 105 along with the bottom bracket. However, I have no idea what type of BB should I get and brand. If anyone could help me that would be great?

I'm developing my first "serious" WordPress plugin using Devin Vinson's plugin boiler plate generated with this generator. Now I need to use a PHP file not present in default boilerplate as action attribute value for a form. When the form is submitted and the PHP file executed I get many fatal er...

I am using Ubuntu 18.04 and I need to list all the user accounts on the computer but not all of the accounts, only the local users. the command cut -d: -f1 /etc/passwd gives: root daemon bin sys sync games ... pulse avahi colord hplip geoclue gnome-initial-setup gdm esnow stuartsnow samsnow Do...

Is there a realible way to say if two pearson correlations from the same sample (do not) differ significantly? More concrete, I calculated the correlation between a total score on a questionaire and an other variable, and a subscore of the same questionaire and the variable. The correlations are ...

When using an iOS device with a set of AirPods that have previously been paired, is the case also required whilst wearing them or can the buds be used without it?

How to get custom local storage value in magento2? I need to get the custom local storage value in php file . How to do that Thanks.

I'm trying to make some colouring in pages for my daughter, and want to make a large letter per page for her to colour in. On Windows I could select a letter, choose font and there's an outline option that I can check. I can't see this on MS Office for Mac. Is anyone aware of any other ways to ...

I'm a PhD candidate in biology about three semesters in. I am co-advised by two young PIs (married) who are just about to get tenure. Things were going great initially, as I completed a medium sized project and got publishable data very early on. However, now that it has come to writing up papers...

I've been working on a task we got by our professor, where i have to work around a variadic template class. The problem is, i cannot modify the class members within the recursive constructor. I cannot figure out why this is the case, as soon as it goes into the next constructor call, it will disc...

I want to add some decoupling capacitors to my circuit but it's always placed wrong. It should just be at the bottom of the capacitor. What am I doing wrong? \begin{circuitikz} \draw (0, 0) node[op amp] (opamp) {} (opamp.out) -- ++(1,0) coordinate (out) (opamp.-) to[short,*-] ++...

Let $s$ be an infinite string of decimal digits, for example: \begin{array}{cccccccccc} s = 3 & 1 & 4 & 1 & 5 & 9 & 2 & 6 & 5 & 3 & \cdots \end{array} Consider a marker, the head, pointing to the first digit, $3$ in the above example. Interpret the digit under the head as an instruction to move ...

When i maximize the window, these black bars appear, how to remove them? or How reset dash config? Ubuntu 18.10, i did edit it's with Dash-to-Dock extension P.S. I don't know what i did

I am using a Arduino Pro Micro as a keyboard (USB HID device). Each time I press a key, the RX LED and TX LED light up. Can I switch them off in software?

Can I take rice, dal, dried fish and spices from bangalore to paris in hold- in luggage on al international flight ?

What is the advantage of having the extra stage of IF, extra local oscillator and extra filtering stage and amplification. It just seems like more work and circuitry. Surely the direct conversion to baseband and the intermediate conversion to baseband are both going to go through the same passban...

I’ve just started to play dnd with a few of my friends and we're unsure if a beast master having a pteranodon as their beast companion would be unbalanced. I’m playing as a flying character (an Aarakocra) and think it wouldnt be a good idea to have a landbound beast companion (like a panther) as...

I've seen the phrase 1ターン1度 "once per turn" used in the Yu-Gi-Oh! Card game, so it seems like ターン is a legit counter. But I'm not sure how to pronounce it. From what I've googled so far, some people pronounce it like いったーん which is odd because ターン is a gairaigo. So how do you pronounce 1ターン?

The spells description says It contains sufficient food to serve a nine-course banquet for up to 100 people but can it only house 100 people or can you bring in as many people as you want?

I was reading The Economist and found this sentence whose grammar I'm not familiar with. Indeed, in the first round he got a vote 80% that of Emmanuel Macron’s. I was wondering how that of works in the sentence. "Indeed, in the first round he got a vote 80% the vote of Emmanuel Macron’s" s...

I have a very basic question regarding Chern classes. Let $X$ be a smooth projective variety and $\mathcal{E}$ a vector bundle on it. Let $\pi:\mathbb{P}(\mathcal{E})\to X$ denote the projective space bundle over $X$ associated to $\mathcal{E}$. How are the Chern classes $c_i$ of the vector bund...

How long can be a string passed to system()? I know the POSIX minimum is 4096, but I would like to know the actual size I can use. Is there any macro defined in any header for that, similar to FILENAME_MAX? char cmd[SOME_MACRO]; ... system(cmd);

I have a file which contain 10000 lines, here I want to delete 5 line from file randomly.

I have a contract A calling another contract B Contract A contract A { function sendValue(B _externalContract, uint _value) { _externalContract.acceptValue(_value); } } contract B { function acceptValue(unit value); } Contract B (contract A expect contract B acceptValue to be...

Did a quick search of Dasein on Google and found this: In Being and Time, Heidegger investigates the question of Being by asking about the being for whom Being is a question. Heidegger names this being Dasein (see above), and he pursues his investigation through themes such as mortality...

I'm trying to use the Garamond-Math font in LuaTeX (despite the documentation saying I should use it with XeTeX only :-). It's working more or less OK with LuaTeX, except for some unfortunate glyph combinations, mostly at the end of inline math, such as “where $T$ is the period”. I used \fbox to...

I added a few support edges to get sharp edges and then merged some vertices, so the edge loops don't spread on my whole model. Now I have all quads, but the corners don't look right. I know that I could get away with triangles on the bottom part, because it is a flat surface, but what about t...

When an ice cube is immersed in water at room temperature, how is the thermal energy from the water transferred to the ice cube? Currently I have two answers: -Infrared radiation from the water transfers thermal energy to the ice cube, which increases the ice cube particles KE store, breaking t...

The category of coherent sheaves on a locally Noetherian scheme is abelian. Are there some geometric conditions on the scheme that imply that the category of coherent sheaves is semisimple? Edited in response to posic's comments.

I have a list, say it is a = {1,3,3.2,3.9,4,4.4,4.9,5,7,8} To get the accumulate: acc = Accumlate[a] I want to plot the number of elements less than or equal to a certain element against the accumulated value of the list elements. The pairs should look like (acc[[i]], number of elements le...

In Harry Potter and the Goblet of Fire, why did all of the guest students take carriages to the Yule Ball if the Yule Ball takes place at Hogwarts?

Problems with ubuntu apt-get install -f W: Some index files failed to download. They have been ignored, or old ones used instead. E: Problem executing scripts APT::Update::Post-Invoke-Success 'test -x /usr/bin/apt-show-versions || exit 0 ; apt-show-versions -i' E: Sub-process returned an error c...

I have a pet rabbit. Her name is Belle. Most people think she is French (because Belle means "beautiful" in French, and my, this rabbit is beautiful) but she is not. Her fur was also painted Rainbow by someone sharing the surname of a French philosopher, but she is not French! When she...

Let $x=\sqrt{2}+\sqrt{3}+\ldots+\sqrt{n}, n\geq 2$. I want to show that $[\mathbb{Q}(x):\mathbb{Q}]=2^{\phi(n)}$, where $\phi$ is Euler's totient function. I know that if $p_1,\ldots,p_n$ are pairwise relatively prime then $[\mathbb{Q}(\sqrt{p_1}+\ldots+\sqrt{p_n}):\mathbb{Q}]=2^n$. But how to p...

On TV, witches often wear skimpy, impractical outfits when going into a fight. This is done for fanservice reasons, so I wanted a way to make this sensible. Witches perform magic by drawing in energy from the natural world and focusing it into a spell using their own mana reserves. There are atta...

the problem is to find cycle from A to B back to A, so that the path B-A would use minimum edges from path A-B. The graph is undirected and can have cycles. The paths don't have to be shortest, they just need to use the least amount of already used edges on the way from src -> dst. Basically, I ...

My question is similar to How to get the partial derivative of the inverse functions? But they are different. If we have a function $z=z(x,y)$, we can calculate the partial derivative $\left.\frac{\partial^2z}{\partial x^2}\right|_y$. We can solve the original equation to obtain $x=x(z,y)$, an...

I met the notation $ S=\{(a,b] ; a,b\in \mathbb R,a<b\}\cup\{\emptyset\} $ I know $S$ is a family of subsets ,a set of intervals, and from set theory $\emptyset$ is a subsets of every set then why in the notation :$ S=\{(a,b] ; a,b\in \mathbb R,a<b\}\cup\{\emptyset\} $ appear $\color{red}{\cup\{...

This tweet from the account of the Centro de Investigación Atmosférica de Izaña (AEMET) http://izana.aemet.es Izaña Atmospheric Research Center (AEMET) shows images of meteorological instruments pointing at the Sun. I recognize the small glass domed instruments in several images and in detail in...

We received a set of prototype boards. They have a DC power supply input feeding into a step-down converter, which is built around an RT6224D. It is supposed to deliver 5.0V. The circuit is almost exactly straight from the datasheet, just that the designer chose a 3.3 uH inductivity. Here is wha...

The BBC today has a story about a champion racehorse who has just retired She will now be retired to stud https://www.bbc.co.uk/sport/horse-racing/47918578 This doesn't really scan for me. It feels like being put out "to stud" is something stallions do. A little reading says that the fema...

I am currently working on my PhD in a Canadian university. I already had a master's degree before joining the PhD program. In my department (chemical engineering), the normal timeline for getting a PhD is 3.5-4.5 years (if joined with a prior master's degree). We take only 2 courseworks in the fi...

I'm trying to draw a derivation tree for a simple grammar using tikz-qtree. Here is my current code: \documentclass[11pt]{article} \usepackage{tikz} \usetikzlibrary{shapes,arrows,calc} \usepackage{tikz-qtree} % ---------- \begin{document} \begin{tikzpicture} \tikzset{grow'=right} ...

What I want to do is search for all the files whose name meet a certain requirement (starts with 's', followed by either a '1' or a '2' and end with 'sh') and then copy the contents of all those files into a new file, (name ending with .txt). So far, what I think it should look like is this: ca...

This might be a silly question but can someone explain how this shear force on the right side of the beam causes Qy throught the whole beam? I understand it mathematically but not conceptually so I would be grateful is someone could help me understand this via an analogy or something, because...

I would like to add random spotting to the same face to decrease the amount of vertices needed. Take this Dalmatian for example, suppose its body was only made up of 12 faces. I would like to avoid making a texture as my actual model is more complicated. The spots are only one colour and the surr...

Let $G$ and $H$ be free groups and $g \in G$. Is there a difference between $\langle H, G\rangle$ and the free product $H*G$?. In particular is $\langle H ,g \rangle = H * \langle g \rangle$?

I've herd a few pieces of advice the Buddha gave to arahants, but not much. What are some teachings the Buddha gave to arahants to guide them towards further growth? (Edit) I want to clarify a bit what I mean for I feel I didn't do an adequate job of explaining my question. After enlightenmen...

Variation on a question that's been asked a few times. For reasons, we have signed up to do a charity ride of ~80 miles on our super-cheap Viking Saratoga tandem. I've already made a few upgrades, mainly ergonomic, but was wondering whether I should bother changing the tyres. I realise conventi...

I'm currently writing a report where I have a table stating certain parameter values and their errors. Obviously I want the report to look nice, but since the errors of certain parameters vary by orders of magnitude, I'm not sure how to write it. It currently looks like: How should I be writin...

The Event Horizon Telescope seems to include these radio telescopes currently: Image by European Southern Observatory (ESO)/O. Furtak; CC-BY 4.0-licensed, see the source on Wikipedia Commons and the original image link. See also the map and list on their official website. It is also said, tha...

I think there's a word or an adjective for it, but I don't remember what it was. I don't want to say plan B, because that's too informal, but I remember there was a good word for it. I just don't remember it anymore. For example: The army was flanked by the enemies unexpectedly so that the g...

Assuming I cast the appropriate levels of spells to keep them under my control, could my undead that have already been reanimated stay in a portable hole as they don’t need to breathe or sleep? I don’t see any reason that they can’t, but this seems like a extremely easy work around to what is no...

Many recommend the Hemingway app, which pushes simplicity and the lowest possible reading level. Where I live, an illiterate person is defined as any person who reads below a grade nine level. The Hemingway app would have us writing for the semi-literate. It encourages such by designating a grade...

The square-cube law holds true only for objects that are similar. In evolution, you can't make big leaps forward, but since most fantasy worlds are created by gods or people who think they're gods, I'm free to abuse Intelligent design. Dragons have six limbs, the 2 wings are situated near the fr...

In a question, Oxidation of metals/halogens by oxygen gas in acidic aqueous solution, there was a point made that reduction half-cells should not be reversed. I was taught ($\approx 1970$) in the following manner. Given the reduction half cells: $$ \begin{align} \ce{O2(g) + 4 H+(aq) + 4 e- &...

I was playing with a DM that says the rules state that you cannot have a 1st-level character with an ability score above 18. I didn't want to argue so I made it work. I cannot find that rule anywhere. We are using the "roll 4d6 for each ability score, drop the lowest" method of generating abilit...

In the literature before me, the quantum oracle of the Grover algorithm is shown as a function, in which a sign change is made possible $|x\rangle\rightarrow(-1)^{f(x)}|x\rangle$. I have read that it is possible to transform any efficient classical circuit into a quantum circuit. My question, if...

f_2=\frac{\sqrt{\frac{s-4 \text{mpsi}^2}{s-4 \text{me}^2}} \left(16 \text{ca} \text{cw} \text{EE}^2 g \text{gpsi} s^2 \sqrt{s \left(-4 \text{me}^2+4 \text{mpsi}^2+s\right)} \cos (\theta ) \text{mZ}^8-64 \text{ca} \text{cw} \text{EE}^2 g \text{gpsi} \text{me}^2 s \sqrt{s \left(-4 \text{me}^...

And God said, “Let there be lights in the expanse of the heavens to separate the day from the night. And let them be for signs and for seasons, and for days and years, and let them be lights in the expanse of the heavens to give light upon the earth.” And it was so. (Genesis 1:14-15) [ESV] T...

What advantage does ultrasound have over sound between 20-20000Hz that it is used in medical imaging over sound in that frequency range?

I saw this sentence : 孩子们丢的东西都找到了 Why is the object (丢的东西) placed between the subject and the verb here???

Let's define a function to execute a binary: function execute() { ./binary; } Then define a second function to pipe a text file into the first function: function test() { cat in.txt | execute; } If binary crashes with a segfault, then calling test from the CLI will result in a 139 return co...

A friend and I are writing a story based on our characters. We brainstormed some ideas and now we know what the basic idea of our story is going to be. But I'm having a little trouble with the prologue, I was going to make it the backstory of the main character so that if someone reads it they'l...

I've been given the task of polishing the interface of a codec library. We're using C++17, and I can only use the standard library (i.e. no Boost). Currently, there's a Decoder class that looks roughly like this: class Decoder : public Codec { public: struct Result { vector<uint8_t>...

after reinstall system I need install applications again. Is it possible to make bash script or own package where cancan I add needed application and after reinstall system will I install them all using one command?

Short Question: Are the keys for the ICV calculation and the encryption the same in IPSEC/ESP? Or do there exist two keys in the SA? Long Question: Before a new IPSEC-ESP connection is established, IKEv2 is used to start a new session. This involves also a DH key agreement. This key is than stor...

I'm not not schooled in math. I'm 50 years old and I only have about a grade 8 level. But I do enjoy math and heard a question in the show "Growing Pains of a Teenage Genius" that interested me. So please forgive me. I do not speak "math." The question has been posted here already, but I don't ...