The definition of mathematical truth is confusing. Let P and Q denote the statements 'I'm a man' and '$1<x<2$', respectively. P is truly (naturally) true because it is really true. In natural language, we cannot determine whether Q is true or false. However in math, as far as I understand, Q has ...

During my studies, I was mostly fine with the standard tables I computed with certain table creation software. Now I was urged by my professor to prepare my thesis in "publication like" format. The hardest thing for me is creating good looking tables. See e.g. this: \begin{table}[h] \scalebox{0.9...

This is Timmy. It’s a massive planetary eating monstrosity (don’t ask about Timmy), who likes to target inhabited planets. On this occasion, Timmy has chosen to feed on earth. What would the nutritional label of Earth be for Timmy? (Assume it eats earth in one sitting, and ignore the nutritional ...

Basically, I want the aesthetics of "EPS conduits" without the soft-sci-fi handwaving of actual Star-Trekian EPS conduits. Is there some system for distributing large amounts of power around a spaceship from a central reactor that isn't "big honkin' electical cables" and which actually makes sens...

Given my location (in Bochum city, Germany), I am trying to identify the nearest highway way id by using the following Overpass API query: [out:json][timeout:180]; area[name="Deutschland"]; way(around:50.0, 51.4661, 7.2491)[highway~"[a-z]"][name~"[a-z]"](area); out ids; And it returns me a list ...

In the movie "The Shawshank Redemption", a scene goes like this: [Fat Ass] (whimpering) God! I don't belong here! [Men Yelling] We have a winner! [Fat Ass] I wanna go home! [Heywood] And it's fat ass by a nose! What does "fat ass by a nose" means here?

I'm trying to identify a sci fi short story or novella set in a post-apocalyptic earth where humans are long gone. What remains on earth are just robots. I remember that the earth is divided in two territories. The leader of one territory develops a desire to become a human being. He visits remna...

Is this difference between executing code in the shell or in a sub-shell expected? $ a() { echo ${@: -1} ; } $ echo "echo ${*: -1}" > b $ chmod +x b $ a 1 2 3 3 $ ./b 1 2 3 bash $ Debian Sid Bash version 5.2.15

Let Z be Zermelo's system without choice (C) and without axiom of foundation (AF), namely extensionnality, pair, union, power set, separation, empty set, infinity. My question is the following one : Is Z equiconsistent with Z+C ? [I would also be interested it knowing whether Z+AF is equiconsiste...

Here is the very beggining of Rudin's Principles of Mathematical Analysis 4.20 theorem: Let $E$ be a noncompact and bounded set in $\mathbb{R}^1$. Then there exists a continuous function on $E$ which is notuniformly continuous. Proof: "By condition there exists a limit point $x_0$ of $E$ w...

The code below is my first attempt to create a concat "range adapter" using C++20 ranges. It compiles and runs with the latest Clang. The little test function creates a few different types of ranges, and passes them to concat to create a single concatenated view. It prints the result, as expected...

I have been puzzling over how to vectorize the following function: tradeplNonVectorized[signals_, periodPL_] := Module[{tradePL = {}, PL = 0}, For[i = 2, i < Length[signals - 1], i++, If[signals[[i]] == 0, If[signals[[i - 1]] != 0, PL = PL + periodPL[[i + 1]]; AppendTo[tradePL, ...

Looking for the author and title of a 1950s-1960s short story. The plot goes something like this: every person is assigned a personal calculator/assistant (the original PDA). The PDA has each person's day plotted out for them and folks blindly follow along. One day, a person's PDA is broken or...

I am working on an program that uses a parametric dimensions table created like this: t = Table @@ Prepend[{2, 3, 4, 5}, 0] No problem to get the value of a given item by coordinates: Part@@ Prepend[{2, 2, 2, 2}, t] The problem is that I cannot use the above technique to set a given item value. ...

$$\int{\frac{\cos 9x + \cos 6x}{2 \cos 5x-1} dx}$$ The objective is to find the answer in terms of $\sin 4x$ and $\sin x$ I would like to share my attempt and then ask a conceptual doubt as usual but this time I have no clue on how to even start off with this. I tried to apply the cosA + cos B fo...

Context: ...quae quidem translatio post Evangelium promulgatum sine lavacro regenerationis aut eius voto fieri non potest... I understand that lavacro is in the ablative case because sine is paired with the ablative. But why is regenerationis in the genitive? Could it be a genitive of quality?

I am attaching a cable management tray to the underside of my solid wood desk (acacia). I heard about threaded inserts which are good for when you want to disassemble things frequently. That sounded like a good idea since I plan on moving in the near future and it would be easier to remove the tr...

I have, for a while now, been intrigued by the planet Canyon in Larry Niven’s Known Space universe: Canyon was once an uninhabitable Mars-like world known as Warhead. It is the second of seven planets around p Eridani A, 22 light-years from Earth.[2] It was used as a military outpost by the Kzin...

The party paladin (Oath of Vengeance) is currently 18th level and we are planning on playing to 20th. Eventually he will get the Avenging Angel class feature, which states, in part: At 20th level, you can assume the form of an angelic avenger. Using your action, you undergo a transformation...Y...

Title is pretty self explanatory. All recommendations welcome. Comments and answers which reject the premise of the question will be met with eye rolling. If I don't see a good enough answer I'll have to write my own book and I'd love not to do this. Edit: I'm interested in a category theory book...

Etymonline defines the suffix -red as a: word-forming element meaning "condition or state of," Middle English, from Old English -rede, from ræden "condition, rule, reckoning," a suffixed form of ræd "to advise, rule" (see rede). Common in Old English, less so in Middle English but still active ...

Let $X_1, X_2, X_3$ be three independent identically distributed random variables. Does this mean that $$ X_3 - X_2, \ X_2 - X_1 $$ are also independent random variables? We can instead inspect the independence of $$ X_3-X_2 \text{ and } X_1 - X_2 .$$ Obviously, $$X_3 \text{ and }X_1$$ are indep...

I recently noticed that a new primitive, \deferred, was added to luatex (relevant texlive git changes). The luatex manual is austere in its examples and explanations for most things, and I see essentially nothing about \deferred other than a mention as a prefix on page 47 (not sure if this is th...

I noticed the hymn Redeemed states the following in its chorus (emphasis added): Redeemed, redeemed, Redeemed by the blood of the Lamb; Redeemed, redeemed, His child, and forever, I am. This chorus appears to state that Christians are children of "the Lamb," (i.e., Jesus). However, doesn't Hebr...

It works fine in the protoboard, with 5w or 10w or 21w bulb (didn’t test it with more than one of such bulbs tho), however when I connected to a car’s (a clunker, may I add) turn indicator harness, it does blinks but the mosfet gets very very hot. I didn’t run it for too long, perhaps 20 blinks a...

I have a Fighter character who is a lycanthrope and had a very low Strength score originally, but thanks to her lycanthropic affliction, her Strength is now the highest score. Will her Strength score increase be removed if she is cured or will it be kept?

Can one ever be understood? When people say “yeah, I feel you” do they really? Is language enough of an outlet to transmit feelings with enough exactitude?

What is the difference between Short time energy(STE) or root mean square(RMS), Librosa library offers a function to calculate RMS but doesn't offer one to calculate STE, which gives the impression that STE isn't that useful and RMS is enough, While in researchers paper they use STE, so that I go...

I'm creating a campaign, and I'm thinking about having Vecna take over the body of an NPC attuned to his eye and hand (because of the 5% chance that Vecna takes over a body after a spell is cast), which would have the characters go looking for the Sword of Kas. Can the Sword of Kas destroy Vecna ...

Something magic happened in the 1970's somewhere in Eastern Europe, causing people to develop psychic powers. These powers allowed ants in Belarus (and a large swathe of Eurasia) to learn human language and therefore learn of our philosophy and science. Besides this, neither the human nor formic ...

My wife, my 5 year old child, and I would be flying to San Francisco for our German visa. At the consulate, our passports would be collected. My question is how do I fly back with our passports taken? My wife and I have driver license. I guess that might work. But my concern is that we wouldn't h...

A standard means of informing Air Traffic Control of an emergency situation is to enter the code 7700 into the radar transponder. However, in a situation where the radios are busy and the crew is fully engaged in dealing with the emergency, manually entering digits in a control head, (especially...

I need to learn some infinite ramification theory and I am stuck with understanding it. I understand that we consider the order of the inertia group as the ramification index, and if the inertia group is trivial, it is unramified. Mostly I am confused about what Archimedean vs non-Archimedean pri...

Suppose $S_n = \sum_{i=0}^n c_i \alpha^i$, where $c_n \in \{ 1,-1\} $ for all $n \geq 0$, and $\alpha > 1$. I want to show that $|S_n| \to \infty$. For $\alpha > 2$, it easily follows from the triangle inequality, $$|\sum_{i=0}^n c_i \alpha^i| \geq |c_n \alpha^n| - |\sum_{i=0}^{n-1} c_i \alpha^i|...

How does the interpretation of the Jacobian as the stretch factor apply when looking at a function on a subset. Say my function is projection of the plane to the x-axis, $(x,y)\mapsto (x,0)$. As a function from the plane to plane it collapses volumes so the Jacobian is 0 like I expect, $|\begin{p...

I want to make windows blinds. I create slats by using Array modifier. Now I want each slat to rotate in the same way. When I rotate them now - they are also moved. How to make it in an easy way? In 3dsMax I was able to create array of objects as an instances of the original one and when I was ro...

RPS 25 is a version of Rock Paper Scissors which has 25 hand symbols instead of just 3. Each symbol defeats 12 symbols, and is defeated by 12 others. Here's a link to a chart showing which symbols defeat which. The challenge here is simple: your program should take in two strings representing the...

I remember distinctly this children's book in my church library growing up, this is late 80s early 90s that had this floral punk aesthetic. Periscopes made to mimic crocuses and lilies in burrows behind enemy lines where spies recorded enemy activities, domesticated bugs helping out in various wa...

I was wondering that why does the equivalent resistance actually increase in a series connection of resistors and why does it actually decrease in a parallel connection of resistors? I know that we can prove it by the formula $V/I = R$ but what's actually the reason behind it. The current remains...

I am working on a research paper on copyright, and I was reading O'Rourke vs. RKO Radio Pictures. It cites "18 C.J.S., Copyright and Literary Property, § 113". What is it citing?

Ive looked at multiple different searches for hito ki no pan meaning. It looks like "Urikireru" means sold out but I cannot find what hito ki means. Heres a picture. I dont know if this counts as an open ended question or not. Just need help translating the first part. Thanks.

I've been trying to read through this number theory paper by Bombieri and Pila, and I'm struggling with seeing why the following facts hold (used in their proof of Theorem 1): Let $f(x)$ be a real analytic function defined on the interval $[0, 1]$ and suppose $f(x)$ is not algebraic. The graph o...

I'm a Computer Engineering student, with interest in Type Theory and Category Theory and i have a more pedagogical/philosophical question about these areas. It seems that many researchers in Type theory and Category Theory in general, specially in Homotopy Type Theory, see their areas as a good s...

I have a Synology NAS (DSM 6.2.4) and I would like to load usbserial.ko and cp210x.ko on boot. When I run: sudo insmod /lib/modules/usbserial.ko sudo insmod /lib/modules/cp210x.ko The drivers work correctly, but when I reboot they are no longer loaded. Is there a way to get these to load on boot?

For example, in LaTeX, I have three conditions in one "cases" environment. Then I could get a new condition from the combination of the first and the second conditions, so I want to use a right curly bracket to combine them, just like the following: However, I don't know how to insert such a br...

I am trying to achieve the following effect produced in Excel in Wolfram Dataset: The following attempt doesn't work: Dataset[ {<|"small column"->123,"very large column heading"->123|>,<|"small column"->45678910,"very large column heading"->456|>,<|"small column"->789,"very large column heading

In Genesis 2k9:17 the only specific part of the body mentioned is the eyes. Is this because everything else was covered up? “Leah was tender eyed; but Rachel was beautiful and well favoured” (KJV). The tender eyes of Leah, as so translated in the KJV, were actually eyes that were visually weak ...

Topic: C++ Implementation of Lock-Free Queue and ThreadPool classes In a project I'm currently working on, I need the implementation of ThreadPool along with a thread-safe queue. I've tried implementing the above structures and wonder about their safety and performance. Reason for asking I'm look...

What Lego set would this building belong to? I cannot find the logo on the flag.

I am building a clothes dryer circuit board. I have the following simpler/smaller schematic of the bigger circuit to highlight the problem(s) I am encountering. I have hooked up the 48 V power supply in series with a 100 kΩ resistor and the LED side of the optocoupler and then the dryer door swi...

When MongoDB submitted the Server Side Public License to the OSI for approval, the OSI has publicly announced that they do not consider it an open-source license. Has the FSF (or, if relevant, a prominent member) ever commented on the SSPL in a similar fashion? As of writing, Wikipedia states tha...

I have been using Apex right now to parse the CSV and I am being thrown with CPU time limit error when there are more number of records. Hence, I am planning to move towards LWC JS as the CSV file is being collected in the LWC. My question is, will the JS count towards the CPU time limit and heap...

Does a player wearing a Ring of Protection +1 and standing in a Paladin's Aura of Protection (bonus equal to Charisma modifier, +2 in my case) get a +3 bonus to their saving throws? Or do they only get to use the maximum protection of +2?

Disregard SVP in the sign above. The imperative requires assieds-toi/asseois-toi! or asseyez-vous! But here, I ask about using infinitive as imperative, not the imperative itself. Then why flip order of the infinitive and pronoun? as in vous asseoir! For consistency, why not asseoir vous?

If instructed to reveal the top multiple cards from my library, do I have to reveal the order they occupied in the library as well? If not, can I look at the cards in the order they occupied in the library, then mix up the order before showing them to my opponent? As a concrete example, could I r...

In QGIS, is there a way to change the background setting on a label such that the background "fits" to the text. Here, there is a lot of white space after the second line that I don't want to display (marked by the black crosses). Please don't recommend separating the labels using rule based labe...

While the linux boots up, initrd is mounted with basic support files and kernel modules, which are needed to help further boot procedure. Later the rootfs is mounted and initrd is unmounted from the Linux OS. My question is if the initrd is unmounted how can a user still see the files mounted by ...

Given the similarities between the two accounts (feeding the 4000 vs the 5000), it seems that these two variants of the same event. What are the scholarly opinions about this?

This question might be more suitable for a law forum, but I thought somebody may be able to share their experience. Can the editors of a research journal unilaterally decide to move their journal to a different publisher, and keep the journal’s name? I’m aware of cases where the editors resigne...

How can you tell from information on the box or manual what the size of the finished set will be. I'm thinking of space needed to create and store etc

I have the following historical wait report for my SQL server. I have noticed that Wait Category Tran Log IO is consuming 27.09% of percentage time followed by Query Store which takes 24.34%. I want to know if this distribution is normal or should I take any adequate steps to improve the perfor...

I want to write a macro to set line height in fraction. font-size: 18px; line-height: 22px; The problem is with expression register. I set 2 variables @f = font-size @h = line-height And =@h/@f - will be always integer. I know to get float, need one of arguments to be float, but the varia...

I would like a command \egreg which produces “egreg”. However, there is no reason to limit yourself to one “reg”. Who knows, maybe one day you just feel like writing “egregregregreg" for some reason. So the command should also take an optional argument, specifying the number of “reg”’s you want....

Instructions (adapted from The GCHQ Puzzle Book (2016) and the introductory puzzle here on Puzzling Stack Exchange): The words in the following list can be partitioned into equal-sized sets depending on words associated with them; each set has its own word association method. This list is arrange...

I'm transcribing guitar song to tab but facing a problem. As the song has repetitions I wrote tab like this and expect to go like 1 2 1 2 3 4 3 4 1 2 1 2 but actually it is 1 2 1 2 3 4 3 4 1 2; song stops at fine without repeating. How can I end song at fine after repeating?

I came across the word in question in the first chapter of Walden: He was at first bare and out of doors; but though this was pleasant enough in serene and warm weather, by daylight, the rainy season and the winter, to say nothing of the torrid sun, would perhaps have nipped his race in the bud ...

I was trying to follow along with Bob Ross - Snow Fall (Season 1 Episode 12) and I am having difficulty with the mountain in the background. I am finding that unless I press really hard that I don't distribute any paint, but if I press sufficiently hard I am scraping the canvas. This picture bel...

I want to draw a picture with GraphicsRow function in Mathematica. A simple example shows as follows data1 = RandomInteger[5, {16, 16}]; data2 = RandomInteger[1000000000, {16, 16}]; fig1 = MatrixPlot[data1, PlotLegends -> Placed[Automatic, {0, 0.5}], FrameTicks -> {{Automatic, None}, {Automat...

I was reading Jane Austen’s Pride and Prejudice when I came across this quote said by Mr Collins to Mrs. Bennett: May I hope, Madam, for your interest with your fair daughter Elizabeth, when I solicit for the honour of a private audience with her in the course of this morning? I am not sure wha...

I found something surprising when I'm writing for some bash script today. I have pinned it down to this minimal example. [[ a>b ]]; echo $? Based on my understanding, because there are no spaces around the >, this should be testing whether the string a>b is not empty, and should return an error c...

I recently returned from a trip to New Mexico taking pictures in the mountains etc. I was taking pictures both with my d3300 18-300 1.35-6.3g with a uv filter and my iphone 10. I've attached 2 pictures below first the d3300 and 2nd the iphone. My d3300 consistently appears to over expose these...

I want to use a MOSFET for high-side switching of the DRV425 fluxgate as it has no enable pin, and has quite a high power consumption (150 mW @ 5V -> 30 mA): Before the P-channel MOSFET WTM2301 there will be a signal inverter SN74LVC2G04 for reasons not important for my question. I only have 3.3...

A few weeks back, when trying to refit the v-brakes on my son's MTB after taking the wheel off, I shattered a threaded plastic washer on his Shimano brake & gear lever (ST EF500). I call it a threaded washer, but I'm not sure of the part name. It is the black plastic item I've ringed in red in th...

Background. So me and about 10 others cycle to work and had to swipe card on a post to get through the gates. Now someone in a wheelchair has started working here too and cos the posts position was impossible for her to reach the landlord has moved the sensor to make it easier for her to swipe he...

Let $A$ be a commutative ring. If $A$ is an excellent ring, is the reduced ring $A/\sqrt{(0)}$ also an excellent ring?

Would it be possible to power the redstone torch in this configuration without powering the redstone lamp?

My question is more terminological than technical. I have come across different definitions of what an ASIC is. The most common one is that an ASIC is an IC that is designed for a specific application (as its name implies). Depending on the exact definition, can we say that a CPU is just an ASIC ...

This question is from the JEE Main (May 7, 2012) paper: Let $f(x) = \sin (x)$, $g(x) = x$ Statement 1: $f(x) \leqslant g(x)$ for $x$ in $(0,\infty)$ Statement 2: $f(x) \leqslant 1$ for $x$ in $(0,\infty)$ but $g(x) \rightarrow \infty$ as $x \rightarrow \infty$ The correct answer is: Statement ...

If I am sharing my thoughts and another person goes “oh, that’s relatable,” or “yeah, I totally get it,” and other variations like “I feel you on that one!” Do they, really? Is language ever enough, or is it a barrier? If so, what makes it so? Is it the number of possible words/combination of wor...

If there are three doors in a building numbered No.1, No.2, and No.3. When referring to them collectively, do I say "Doors No. 1,2, and 3"; or "Door Nos.1,2, and 3"?

I would like to hold some text in a global variable, which i'm using as the content of a tabular. I'm using expl3, and tikz to place the tabular. The problem is that in an expl3 environment tikz is not working as expected. Here after reading solutions to similar problems i got my code working. \d...

I was reading this paper talking about how cohomology theories are related to the axiom of choice. I would like to have a better understanding of one of the first topics discussed. At the bottom of the second page, right after the beginning of the first section, the author explains how the usual ...

I'm trying to unit test my simple contract however, I don't know which way to do it. For unit-testing should I create a new contract on beforeEach(), so it runs before each it()? Using: new ethers.Contract() Or should I interact with my hardhat already deployed contract with: getContractAt() or g...

Many parliamentary systems allow MPs (members of parliament) to be ministers at the same time. But assuming that ministers cannot serve in parliamentary committees simultaneously, this creates a number problem where the governing party may not have enough people to serve in committees (because to...

I have seen multiple applications going for safe usage of checkboxes while there is a multi-select scenario of options shown in list or under one category. What is the rationale of having checkboxes while toggles can also do the same work. Can we use toggles instead of checkboxes?

I have a text in a tcolorbox for some part of it I want to give some explanations. Please see MWE below. I have some questions (please feel free to answer anyone of them, not all): How can I insert a right curly bracket for some lines of the text as shown in the picture? How can I align vertical...

I have a question about the use of W8ECI requirements. I am a foreign nonresident noncitizen living in South America. I have opened a savings account in a US bank filing a W8BEN as I do not live in the US. I have a property in Bolivia that is being rented in Airbnb (a US service) and have them pa...

Inspired by this question, I want to know: what would be the best real weapons in a fight against ants? All ants on Earth decide to exterminate all humans. Humans do not need to exterminate all ants, they just need to keep ant attacks suppressed enough for human civilization to operate. I'm looki...

I've just take the stem, top cap, and spacers off and removed the fork from my bike for the first time in the 12 years/ 20,000km I've owned it. It's never had any maintenance done on this area. This is what I'm seeing: My questions are: Does this more or less look right? I wasn't sure if that ...

I'm currently reading Griffiths' book about Quantum Mechanics but I cannot understand how he derives the formula for the time derivative of the expected value of position in 1 dimension. He writes: $$\frac{\mathrm d\langle x \rangle}{ \mathrm dt} = \int x\,\frac{\partial}{\partial t}\left(|\psi|^...

Infrared has a frequency of 300 GHz – 430 THz, while WiFi has a frequency of 2.4 GHz or 5 GHz. As the frequency of infrared is greater than the frequency of WiFi, the transfer rate (bitrate) of IR should be greater than WiFi. In reality, IR transmission is in kbps, while WiFi for WLAN is about 10...

I've applied to several US grad schools for PhD math and one of my rejection letters stated that I can contact them regarding their decision. I would benefit from knowing whether their reason of rejection was something I can change (SOP, research experience, test scores etc.) in which case it mig...

Let's suppose that I prepare an input file, writing certain parameters defining some molecular structure into to run in Quantum Espresso. For simplicity and convenience I have decided to create an user's variable, for instance, QE_PSEUDO to save a path of a directory with pseudopotentials files. ...

A Bayer matrix is a threshold map used for ordered dithering that gives the illusion of having more shades of color than actually present by using a crosshatch-like pattern. Bayer matrices are square with a side length that is a power of 2. Here are some examples: \$ \displaystyle\frac{1}{4} \tim...

Is the statement "Who is like you, O LORD, among the gods?" in Exodus 15:11 one of the answers to Pharaoh's question "Who is the LORD?" (Exodus 5:2)? Note, this would not be answer directly to Pharaoh, but an answer to the reader of Exodus. But Pharaoh said, “Who is the LORD, that I should obey...

I use a normal balun to match my 300 ohm antenna to my 75 ohm tuner (for "over-the-air" digital TV): I opened this balun up and found the typical circuit: Since the second coil from the top is shorted, the top transformer appears to do nothing. So, what would be the harm in removing the top tra...

Is it possible to convert a 250k potentiometer into a 500km or maybe a 500k stereo potentiometer to a mono? If there is, then I need your help because I'm struggling to find a 500k mono potentiometer in my area.

If a creature has Multiattack that says 1 spear attack and 1 longsword attack am I limited to just that? Or is this just some template where we can substitude 1 attack for something else, like 2 spear attacks a spear attack and an attempt to disarm? Alternatively can I just substitude a spear...

I am reading a novel, and in a couple places I have read: »Oh«, machte er. I know that "machte" is the preterite form of "machen," meaning "to make." However, I can't find a meaning of the word "machen" that has to do with vocalization. Is it used in this context because he is "making" an "oh" ...

I'm trying to create a plot legend where the rows contains multiple items, and those items have the same width, so that they appears to be in column. It should work with String Pad Right but for some reason the PlotLegends is deleting those paddings. Any idea on a workaround? This works: Column[ ...

I have 5 languages on my Windows keyboard, I often switch between them using the Shift+Alt keys. Many times I go to the 2nd language from what I am, by clicking once the mentioned two keys, but when I want to go back to the previous language, I have to click Shift +Alt 4 times more. Is there A wa...

I'm trying to reproduce the following figure: So far i have been able to do the following with Tikz: \begin{tikzpicture} \def\r{1cm} \def\v{2.5mm} \foreach \n in {2,3,4,5,6}{ \begin{scope}[xshift=\n*2*(\r+\v+1mm)] \draw[thick] (0:{\r+\v}) \foreach \a in {1,...,3...

What kind of qualifications would be required for me to be employed as a ramp agent in Canada..?