At least through the early 1980s, the source code in non typewritten computer manuals and books was usually typeset using proportional fonts, sometimes with syntax highlighting such as keywords in bold. When did these works start switching to unhighlighted monospace fonts for code? Was this shift...

Whenever we calculate any lengths in Physics, we tend to express using displacements. For example, while calculating energy, which is given by the formula- E = Fswhere E represents the energy, F represents force applied and s represents displacement. Why do we use the shortest distance to calcul...

For a personal data analysis project, I was trying to find the most frequent 3 products that were being sold together by doing a self join (twice). As the query was taking over 15 mins and the laptop fans seemed to be going into overdrive, I decided to stop it. This was all done through pgAdmin. ...

This well referenced article chronicles the history of a 12 year long contention which arose in the early days of the LDS Church between Apostle Orson Pratt and (then) first president Brigham Young. While there are tangential aspects associated with this contention, the main thrust centered upon...

From this question, and the answer thereof, we can see that every real valued function on reals is a sum of two injective functions. Is the same true if we replace injectivity by surjectivity. For continuous functions, we could use weierstrass polynomial approximation to get our desired answer (I...

This question has a table that shows the launch weight of the LM grew by 1600 kg between Apollo 11 and 17. What enabled this weight growth? I know some of it was enabled by improving descent engine performance (nozzle extension from Apollo 15 onwards), but I don't have a complete picture. Did the...

When a Bitcoin (full) node connects to the network, it has to synchronize its blockchain with its peers, i.e. learn about the best chain the network knows. There are many aspects to this (learning about the headers, downloading blocks, validating the blocks, and deciding which one to mark as acti...

I'm adding password protection/encryption support to a Python package that makes ZIP files (https://github.com/uktrade/stream-zip). I'm opting to not add ZipCrypto support, but instead add WinZip-style AES From https://www.winzip.com/en/support/aes-encryption/ WinZip has two versions of this, AE-...

Is there any evidence Ramban (Nachmanides) had access to books of kabbalah and did he ever cite them? I believe he is generally seen as Maimonides’ mystical counterpart. Is there any historical record though he actually had access to works of mysticism and Kabbalah?

to begin i want to warn you that i am a beginner in mathematica. I have to create a function that calculates the impedance total of an association of n (electronical) components. So the formula is 1/Z(total) = sum of 1/Z(component). Here the programm : By knowing all the basic impedance (resistor...

Let $K$ be an algebraically closed field. Let $X$ be an irreducible affine algebraic variety over $K$. Let $L/K$ be a field extension, where $L$ is also algebraically closed. Suppose the group of units of the coordinate ring $\mathscr{O}(X)$ is trivial (i.e. equals $K^\times$). Is it true tha...

I am contemplating setting up an email server, but concerned that the ISP will block port 25. It would be nice to know that port 25 is / is not open before going through the effort to setup the email server. Is there a terminal command to determine if my ISP blocks port 25 without actually setti...

I would like to draw a pgfplots grid onto a 480x800 image. With the code below, I can see the grid has been plotted but the image doesn't show. \documentclass{standalone} \usepackage{tikz} \usepackage{tikz} \usepackage{pgfplots} \pgfplotsset{compat=1.18} \begin{document} \def\fname{/media/sf_wo...

Note: Knowledge Tag: The knowledge required for this puzzle is straightforward and very easy to find. Prefer no partial answers. “The Wheel of Time turns, and Ages come and pass, leaving memories that become legend. Legend fades to myth, and even myth is long forgotten when the Age that gave it ...

https://www.timesofisrael.com/israel-in-talks-with-congo-and-other-countries-on-gaza-voluntary-migration-plan/ On Tuesday, during a conference held in the Knesset to examine possibilities for postwar Gaza, Gamliel said: “At the end of the war, Hamas rule will collapse. There are no municipal aut...

Evaluate $$\lim_{x \to +\infty} [\sqrt{x}-\ln(x^2+1)]$$ I tried to multiply both numerator and denominator by conjugate and tried applying L'hopital bur the calculations become way too complex. Is there any clever way of doing it?

I have some failed experiment result files, and their contents are exactly a single \n (newline). I would like to list them all (perhaps with something like find or grep), to know what are the files and later delete them.

So this sort of ties into this question on Puzzling.SE about making π out of the numbers [1...n] for n=[1,2,3...20]. I am currently working on a document using LAT EX that I am going to publish as an online reference when all n=[1,2,3...20] are figured out. I am currently working off of my commun...

I understand that when the aircraft is put into some bank angle, the lift vector now acts at that angle instead of directly against gravity, so we can pitch the aircraft up to increase AoA to increase lift so that the vertical component of lift cancels out weight. Then we are just left with a hor...

I have a shell script I sometimes use to trigger Mission Control, which is simply the following: #!/bin/sh /System/Applications/Mission\ Control.app/Contents/MacOS/Mission\ Control In macOS 13, this works fine. In macOS 14, it crashes with the following: Killed: 9 It appears that running any ap...

Say you make a melee attack, would your character reasonably be able to tell what a good hit is versus a mediocre one? One that hits for maximum damage, or even a critical hit, versus a minimum value damage roll. I know as a player your damage is known to you and can be altered after the fact wit...

I've pulled datasheets for a dozen compatible NPNs from Toshiba, Diodes, Onsemi and Nexperia. They all had different recommended layouts for SOT89 package. More than that, Nexperia has different footprints for wave and reflow, KiCAD has yet another layout, and simple picture search on web produce...

I read: When an inventor or a company, who is a resident in India, desires to file a patent application first in a country other than India, it is necessary to obtain an FFL from the Indian Patent Office. This makes me wonder: which countries require inventors to get a permission (e.g., a forei...

I don't understand why I lost or how territory is defined when both players have a bid for territory. Here I lose by 25 points (5x5 board). But it seems to me that I have an equally valid bid for controlling the left and right halves of the board with my line down the middle. Why does white e...

How can I alter a field group description programmatically? If I dump the $form variable in my implementation of hook_form_alter, my fields are in the array, but my field groups are not. What function do I need to use?

Question might say it all. I want to connect =================================== in order to form a solid line. You know how? Edit There is a word before the equal signs, like word ============================== hence having the same position of the equal signs (but just as solid line) would be...

I think it's obvious that Little Bobby Tables's mom has broken the law. Let's assume this is his legal name and does not break any naming laws; it's still probably illegal, because she obviously gave him that name with intent to harm computer systems. However, when Robert'); DROP TABLE Students;...

This question is important to an on-going topic on CSE-Meta as to whether the biblical-basis tag has become obsolete. I understand that Latter-day Saints, in using the term Scripture, include not only biblical texts but also The Book of Mormon, Doctrines and Covenants, and the Pearl of Great Pri...

Why is there no current in a magnet even though magnetic field is present? We know current is produced due to magnetic field and vice versa. But there is no current produced in a magnet, why?

A few images on the Internet list this as USB but it doesn’t look like it is. What is it? A part of a TI graphing calculator.

I have a situation where the military generals and high leadership are mind-uploaded, AI reconstructed philosophers and brilliant strategists of historical times. I can't, however, figure out how the mind-upload can accurately reflect the actual person. for example, if i were to want to upload th...

I'm getting these weird kinks (see top and bottom hole here) and can't figure out why. I can't see any duplicate vertexes causing issues, or any issues with normals. Any ideas welcomed at this point... Thank you

I'm looking to replace the group separator control character, which is printed by the terminal as "^]" and has got octal code of: 035, with a space. This can simply be done using tr, like so: echo $line | tr '\035' ' '. However, I don't (can't) use an external command in my bash script, so am ins...

I have a table that I want to export as an image. The problem is that the table is quite long, so I want to split it and put it side by side (see reference image in case it is not clear. I have case 1 and want case 2). How can I achieve this? gs = ((12 - 3*N1*N2))/(4 + 10*(N1 + N2) - N1*N2*(N1 + ...

CC-CEDICT 眼红 (yǎn​hóng​) to covet / envious / jealous / green with envy / infuriated / furious The motivation for this question is the following 语病 in the HSK6 Standard Course textbook (page 30; photo of original): 我的腿受伤了，不能去滑雪，我很眼红我的朋友们。 The correction we're meant to make is changing 眼红 to 羡...

It's a short science fiction story about the invention of a time machine in the future. The tale revolves around scientists sending a child from the prehistoric era, who is cared for by a woman who grows attached to him. Later, a decision is made to return the child to the past. Because the woman...

I work for a small private college and today I received an e-mail from the registrar's office requesting me to raise the cap of two courses that I will be teaching in the spring since there are a few students on the waitlist. This e-mail was also copied to my department chair, who has not respond...

Mathematically, I wouldn't expect LLMs to be able to reproduce source texts exactly unless the source text was the probable outcome given some prompt. However, I have now tested HuggingFaceH4/zephyr-7b-beta, TheBloke/Llama-2-7B-Chat-GGUF, and ChatGPT and they are all able to accurately reproduce ...

I'm trying to improve my poor understanding of analogue filters. Similarly to this question, I've always wondered why libraries like scipy offer an option to design an analogue filter, and when I would want to use that mode. Re-phrasing the other question more specifically: What do the (digital?)...

The following reasonable program seems to have undefined behavior according to the formal definition of restirct in the C standard: void positive_intcpy(int * restrict q, const int * restrict p, size_t n) { int *qBgn = q; const int *pEnd = p + n; // sequence point S while (p != pEnd && *p>...

Abdul’s news and wine gets a delivery of the next day’s papers overnight and he then puts the stack of unsold papers out on the pavement before closing for the publisher to collect and then destroy. When the papers are current, they are sold for £3 each, while they cost the publisher £0.05 to pri...

I am trying to plot a curved arrow on a wavy surface. I tried a couple of approaches using the Arrow command but the results are not aesthetically pleasing bec The arrow gets hidden from the view I want to see it from.Is it possible to plot an arrow that is always facing the camera in the desired "

This is a faulty-wording grammar exercise from the HSK6 Standard Course textbook page 30 (photo of original) in the part titled 词语误用 = "word misuse": 因为是冬天，没有什么人到山上来玩儿。我站在山顶上，空气很清凉。 The textbook considers this an error (answers, page 5), correcting 清凉 to 清新. No further explanation is given. I ...

I'm reading the Cambridge medieval history collection, specifically the chapter on Roman law (Justinian and earlier, vol2, ch3), and there is this sentence.. "And for some offences, e.g. marrying a freewoman, he was liable by statute, like a slave, to chains or stripes. In an ah ha moment I tho...

Specifically I am inquiring, if the cypher text can include a byte sequence such as 170303, which is one possible TLS record header. Normally the application that parses the TCP byte stream delimits the TLS record by parsing the header and extracting the length in octets from 4th and 5th byte fol...

I am trying to make a list of three distinct points are not collinear so that their coordinates consist of nine different numbers from 1 to 9, {{1, 9, 8}, {5, 2, 3}, {7, 4, 6}} I tried tab = Table[{{a, b, c}, {x, y, z}, {m, n, t}}, {a, 9}, {b, 9}, {c, 9}, {x, 9}, {y, 9}, {z, 9}, {m, 9}, {n,...

Bob goes into a shop, sits down at one of the tables in its seating area, and reads an entire newspaper which he then puts back onto the shelf. What is the legal standing of his actions?

I'm creating a D&D character on https://levi-blodgett.github.io/dnd-char-generator/. I'm not sure what to put in the 'inspiration' box. I don't understand how your inspiration for your quest could fit in such a small box. Any ideas?

In this answer, it is stated It has actually been shown (by Canetti, Goldreich and Halevi) that random oracles cannot exist "in all generality" in the following sense: it is possible to build pathological signature and asymmetric encryption schemes, which are secure when they internally use a ra...

Imagine I have a series $y$ that has a signal and a noise component $y=S+N$. How can I generate $y$ from $S$ and $N$ so that $y$ is 80% signal, 20% noise, and has a given standard deviation? # Set desired parameters signal_length <- 100 sigmaY <- 10 # Generate signal and noise signal <- rnorm(s...

Earlier today I discovered a feature in my software wasn't working because Apple introduced a new restriction to macOS Sonoma that prevents shells from launching any executable within /System/Applications. I saw no mention of this restriction in their Sonoma release notes. Does Apple publish any ...

Language: Mono-sorted first order logic with equality. Extralogical Primitives: $<, \in$ Define: $x \leq y \iff x < y \lor x=y$ $\textbf{Well ordering: }\\\textit{Transitive:} \ x < y \land y < z \to x < z \\ \textit{Connective:} \ x \neq y \leftrightarrow (x < y \lor y < x) \\ \textit{Well fo...

If a function $f$ is defined as $$f:X\to Y$$ We say the domain is $X$, and the codomain is $Y$. However, it seems the image is distinct from codomain, and only coincides with $Y$ if $f$ is surjective. Question 1: Why is there this distinction? Why is it convenient to define a function's "target" ...

If one has a choice between going to a minyan for Rosh Hashanah that does not have a baal tokei'ah and another place where they have a shofar but no minyan, where should he go for Rosh Hashanah? (I would assume he should hear the shofar because that is a mitzvah d'oraysa while minyan is derabanan...

Did Oliver poison Felix, or did he die from drug overdose? It's quite unclear because if Oliver did poison him, why didn't the cops do an autopsy or find the bottle (as shown in one scene) as evidence?

I found a hp 1220a Oscilloscope in a thrift store. It's in pretty good shape, however I noticed its front green/blue plastic screen is a bit shifted to the right. I can slide it back in place with my hand tho I just want to make sure this isn't a safety issue? I guess all that plastic does is cha...

I don't see the existence/non-existence of free will as meaningful, ethically speaking. I'll explain what I mean. Let's say we have some agent, and the agent takes an action we think is bad. In a world with libertarian free will (the most extreme version of free will I'm aware of), we are suppose...

As I was listening to Christmas music over the holidays, I noticed that the popular Danish Christmas hymn "Dejlig er jorden" ("Beautiful is the world") shares a melody with the hymn "Fairest Lord Jesus", while there are only very vague similarities in the lyrics, such as the motif of the world's ...

Clearly Moses didn’t bring it down from Sinai, and yet it seems that that is the standard to the extent that from what I hear certain schools would even consider it scandalous if students parents didn’t have their phones TAGed. What is TAG? Is it a specific company? And how did it become endorsed...

Harmonic mixing typically relies on the circle of fifths, often renamed as the "Camelot wheel" in the context of harmonic mixing. However, that circle/wheel only contains two scales: major and minor. How should one handle songs whose scales are neither major or minor in harmonic mixing (Dorian, P...

I recently received my largest batch yet of assembled PCBs. The design hasn't changed since the last order, but the supplier's stock of a socket I had been using has been depleted, so I substituted a different socket. Old socket New socket I've got some headers from various suppliers, such as ...

My condo is in an 8-story concrete and steel building, built mid-80’s in Massachusetts. My ceiling is 1/2” drywall screwed into 2-3/4” x 7/8” steel studs (Joists? Furring strips?). Those are hung with wire from the steel beams that support the cement floor above. The beams are 4 feet apart and th...

Following the great advice (what do you mean it's not advice?!) on Adding unnecessary fluff we can devise the following task: Take a list of positive integers and a positive integer \$m\$ as input. Only keep the prime values from the list. Define \$f(n) = F_{n^2 + 1}\$ (the \$n^2+1\$-th element ...

I'm working on a idea for a Gojirasaurus/Godzillasaurus species of dinosaur (a fictional dinosaur that was the dinosaur that would eventually become Godzilla due to the effects of radiation.) The basic idea is that the dinosaurs, which were very similar to Acrocanthosaurus, lived on a landmass th...

Planet Info: Star: 1.25x solar mass / F6V Type / ~6300K / 1.97x Luminosity Planet is 1.84x Earth Mass, same density as Earth Orbiting at 1.42 AU atmospheric pressure is 3.68atm Inputting these values into a Planet Temperature calculator, assuming an identical atmosphere as Earth, gives a temper...

I would like to print all my C comments to a separate text file. Using awk, sed, grep, or bash output all multi-line C comments between /* ... */ (inclusive) output lines with // comments Optional: print line numbers I tried these solutions but it did not work on Ubuntu Parsing C Style Multili...

I am totally mystified why I can't print this range with ed when there are two ranges—see file2.tf file—; but I can print when there is only 1 range—see file1.tf file—and I can print with the gsed (GNU sed on macOS) command; but I can't print with ed. Please consider my shell session and clarify ...

While selecting a gate driver, how do we ensure that the sink and source currents are met so that the MOSFET will turn on properly? Also, how is the gate resistor related to this? I have attached the datasheet of the MOSFET. If an example can be given with respect to it that would be great. The...

In informal contexts, is it grammatically correct to use "TA" as a verb? For example, can I say, "I have TAed 4 courses this semester, " meaning that I have worked as a teaching assistant for four courses? Is this usage commonly accepted in English, particularly in academic settings?

I have created a templated linked list to take different objects. I was told to put this up for code review as it could use some improvements. To be honest, I am not completely sure when to use the 'new' keyword for all instances. Also I am not completely confident on my use of the template synta...

At my job meetings are always impromptu and never scheduled. Frequently coworkers walk up to me and say "please come with me" with no other context. They would do this because they need my help with someone or wanted to train me on something. I started replying "I'm just in the middle of somethin...

Preface: I am beginner of cryptography and not native English speaker. So I may make terrible mistake (about grammar and cryptography). I understand that the parameters used for AES-CTR are "key", "nonce" and "counter" in addition to plaintext and ciphertext. I also understand that it is not a go...

Question: How can I successfully install CiviCRM on my localhost running Windows with XAMPP and integrate it seamlessly with WordPress? Explanation: I am currently working on a local development environment for a WordPress website using XAMPP on a Windows machine. I am interested in incorporating...

Was thinking about extending the C switch beyond integers. Here is what it came to - will gladly accept any suggestions for improvement. Note: "Any class" in the title is not quite correct - the class should have equal operator and hash function to be used in this switch. #include <iostream> #inc...

I am trying to make circular transform texture coordinates so that I can add a gradient to achieve the given result. I want this result where: Inner Margin = 0.25, Outer Margin = 0.75, Repetitions = 2 ,Swirl = 1

Is it true, that on phones the last item (last column on PCs) in the site's footer is (usually) read more often that the first one, because if the user scrolls to the end, he will see the last item (and probably not the first item or a part of the first item). I assume responsive design. I am int...

I have defined two shapes: myComponent1, which includes two anchors (PinA and PinB), and myComponent2, which includes one anchor (PinA). I am seeking guidance on how to directly connect PinA from myComponent1 to PinA from myComponent2 using a horizontal wire. Below, you will find my LaTeX code al...

In my econometrics class regarding multiple linear regression, we learned that one of the Gauss-Markov assumptions is the zero conditional mean, expressed as $ E(y|\boldsymbol{x}) = 0$. My question is: If we transform $\boldsymbol{x}$ into $g(\boldsymbol{x})$, does this zero conditional mean sti...

The Arabic word for sheep, غَنَم, is cognate with the word for booty/loot, غَنِيمَة. Does the word for sheep come from the word for loot or is it the other way round, presumably because of the type/reason for raiding at some point in time?

Is there a term for a form of democracy that allows with online technologies (such as blockchain) to vote on micro-issues directly, for instance on placing of a bus stop in a city, etc? I am developing a technology tree for a 4X video game mod, and considering this as a possible invention or wond...

In the recent Barbie (2023) movie, how many different versions of Barbie are featured? I'm interested in the diversity of characters and roles they represent.

This a not a typical QPSK where $\alpha \neq \beta$ My book gives me the following $$ P_e \leq Q(\frac{2\alpha} {\sqrt{2 N_0}}) + Q(\frac{2\beta} {\sqrt{2 N_0}}) + Q(\frac{2\sqrt{\alpha^2 + \beta^2}} {\sqrt{2 N_0}}) $$ The following is my analysis. (The analysis is based on analysis from ESE 4...

Although title is more broad, and you are welcome to give examples, I will ask about why we accept certain things as acceptable in Einstein's thought experiments using a specific experiment: Consider the famous mirror in a train example: There is a train moving with velocity $v$ relative to eart...

In the recent Congressional hearing, the presidents of Harvard, MIT and UPenn were questioned whether calls for the genocide of Jews would violate their schools’ conduct policies. News articles are clouded with the fallout of this hearing, and I can't quite find the answer to my question. Why wer...

Pretty much what the title says. The projector only works on power and I don't see any batteries but I'm not sure about the components of course, so is it safe to carry it in hand luggage or check in?

I've come across this notation, which I've never seen before: This is from an article A categorical semantics for causal structure, but I've seen it a few times before; where does this come from (where can I familiarise myself with it)?

I'm writing a scientific text, which includes a labeled diagram. Are these traditionally labeled in the same font and font size as the body text, or in a smaller font size, or in a different font?

In all likelihood, I'm misunderstanding something greatly here, so I'm hoping for some clear correction: It seems to me like the Republican and Democratic parties in the USA are private-ish entities. Private in the sense that they aren't directly government-funded, they run themselves, they're ba...

I need to prepare a Linux VM to create a template hosted on a VMware ESXi. So far I found this german virt-sysprep procedure that syspreps the Linux VM but from outside the VM. It says I need a Linux workstation to mount the VMFS (containing the VMDK file) with SSHFS and then run the virt-sysprep...

Let $L1 = ${$ a^{n}b^{m} | n > m > 0 $}$ $. Describe a non-regular language $L2$ such that $L3 = L1 ∪ L2$ is regular and $L3 ≠ A^{*}$ (where $A = ${$ a,b $}$ $) From the trace, I cannot prove this with the simple language of $L= ${$ a^{n}b^{m} | n,m > 0 $}$ $ since it must be different from $A^{...

There are a class of differential equations whose solution oscillates around some equilibrium indefinitely after settling down. Below is an implementation of such an equation t0 = 10^-6; tf = 50; y0 = 2; dy0 = 0; sol = NDSolve[{y''[t] == -(0.1 + 1/t) y'[t] - 1 + 6*y[t]^2 - 4 y[t]^3, ...

I've noticed that in the U.S., universities commonly provide funding for PhD students in AI/ML fields, including scholarships, assistantships, and fee waivers. In contrast, Master's students have fewer funded opportunities and often rely on loans or work-study programs. Can someone explain the re...

Sorry, I'm inexperienced, but I have a hard time wrapping my head around sheet music for unusual tunings. As far as I'm aware, the first note on the tabs is a G#, and it's just a G on the sheet music and this goes for the other notes, they seem to be one out... For example, the second note on th...

I would like to find a replacement for the component labeled (M)H30 (top in the pictures). The pictures show a circuit board of a WH-1000XM4 headphone (A-5020-595-A, Sub-R). The headphones can no longer be charged. Sweat has probably penetrated and turned the connection pin into verdigris. Otherw...

As the title suggests, I am a CS undergraduate who wants to apply to math PhD programs in the US. I should also mention that I live and study outside the US. The problem is that my undergraduate program does not have many math courses, in fact I think it has the bare minimum amount. Obviously I s...

I currently have a focus road bike running on Ultegra group set. The rear wheel is currently 10SP. I’m looking at purchasing new wheels, and most of the second hand ones come with fitted 11SP. Can I straight swap them?

Error of measurement is defined as the result of a measurement minus a true value of the measurand (Source: Page no. 36), and Uncertainty (of measurement) is a parameter, associated with the result of a measurement, characterizes the dispersion of the values that could reasonably be attributed to...

Having a usb keyboard in german language connected to the MacBook. Curly brackets are on Alt+Gr+7 / Alt+Gr+0 on German keyboards, but pressing these keys gives me different characters. So how can I type curly brackets on a german keyboard?

I have lots of very cool and developed scene ideas, but when I think about them, they seem to be seperate from the plot. It's like instead of the protagonist sailing on a boat down a river, they're jumping from lily-pad to lily-pad. It's not that the scenes are irrelevant to the plot, they just d...

This is easy to replicate. Open Blender, delete default cube etc and add a Curve. Notice that nr of selected Objects is 1/1. Go to Object Data Properties and add Bevel Depth to the curve. Now nr of selected Objects is 2/2. Why?

In the 1992 book Star Trek VI: The Undiscovered Country by J M Dillard, Spock comments "An ancestor of mine maintained that if you eliminate the impossible, whatever remains - however improbable - must be the truth". This is a phrase most associated with Sir Arthur Conan Doyles character Sherlock...

We undoubtedly must have read and heard, passionate arguments justifying the abolition of slavery, be it from the clergy &/or philosophical & political clerisy, however what has been absent from the reading list are the counter-arguments from proponents of slavery, particularly the sociologists, ...

After running a very long loop, I get the following result given by a very long vector: {1.9*10^-41 Null^1415, 1.9*10^-41 Null^1414, 2.0*10^-41 Null^1413, 2.1*10^-41 Null^1412, 2.1*10^-41 Null^1411, 2.2*10^-41 Null^1410, 2.2*10^-41 Null^1409, 2.3*10^-41 Null^1408, 2.3*10^-41 Null^1407, 2.4*...

So far, I have found PHONO33 for DOS, which is a quite old yet impressive program. Though overly strict and simplistic, applying rules in a strict order, which results in weird outcomes ×D It includes models for Pig Latin and Spanish, and I'm not quite sure what traction this software did gain a...

Production of multi-layer prototype PCBs is becoming increasingly cheap, what with places like JLCPCB, PCBWay, Digikey, Mouser, etcetera, offering multi-layer production services. Multi-layer boards offer advantages such as full-coverage ground-plane and power-plane layers. With respect to proje...

How can we use quantifiers to express something a bit more complex such as - for example - the definition of limit: $$\forall \epsilon >0\hspace{2mm} \exists \delta >0 \hspace{.5mm} :\hspace{.5mm} 0<|x-a|<\delta \implies |f(x)-L|<\epsilon$$ It's not clear to me how to express double quantifiers a...

Let $X_1,\dots,X_n$ be an i.i.d. sample from the standard normal distribution. Let \begin{align} \mu_n = \mathbb{E}[X_{(n)} - X_{(n-1)}], \end{align} be the expected difference between the largest and second largest observations. Question: Can we show that $\mu_n$ is decreasing in $n$? In this a...

I am trying to replicate (as closely as possible) the following Greek (with diacritics): I am using the \textgreek command: \documentclass[12pt]{book} \usepackage[LGR,T1]{fontenc} \newcommand{\textgreek}[1]{\begingroup\fontencoding{LGR}\selectfont#1\endgroup} \begin{document} \thispagestyle{em...

I have to remove a faucet cartridge and I can't seem to figure out how to do it. The outer chrome ring doesn't seem to unscrew, and there is no space to fit a wrench to get to the nut. Do I need a special tool or am I missing something? Edit: I finally got it after spraying some WD40 on there. ...

An example of 100 subjects. Let's say I wish to study the impact of literacy levels (0 as limited and 1 as adequate), anxiety levels (0 as no anxiety and 1 as severe anxiety) and sex (0 for female and 1 for male) on the decision that has been made. We have decision A and decision B. the frequency...