I must solve $$\int_{-\infty}^{\infty}\frac{x \text{sin}x}{x^2+4} dx$$ I simplified this to $$\int_{-\infty}^{\infty}\frac{x \text{sin}x}{x^2+4} dx = \frac{1}{i}\int_{-\infty}^{\infty}\frac{x e^{ix}}{x^2+4} dx$$ Now consider only $$\int_{-\infty}^{\infty}\frac{x e^{ix}}{x^2+4} dx $$ I considered ...

In Columella, there is a line that goes: deinde cum computruerit tamdiu pati donec ad pristinum modum perveniat. ("Then, when it has putrified, you must leave it alone until it returns to its original condition.") I do not understand why the passive infinitive (pati) is used here as an impera...

the issue I have is that my ac on my 2 right dash vents emit hot air when I have it on low, but my 2 left dash vents come out cool. Could something be blocked? I changed air filters and everything

Given a normal marriage in the US. Given that couple has a 1 million dollar home and about the same in savings and the deceased spouse has 1 million in 401k what are the implications of the other spouse not be a US citizen (legally in the US on green card for 20+ years).

I'm trying to figure out how to best represent BFS (Breadth First Search) and DFS (Depth First Search) on a graph, specifically between being represented as an adjacency matrix and an adjacency list. How do I determine which is a better representation? Is time and space complexity a part of it? I...

Ukraine is said to have scrapped 423 Kh-22 large anti-ship ('carrier killer') cruise missiles in the 1990s, together with some 60 strategic bombers that could carry & launch these. (This was due to an agreement with the US.) I'm curious what the original Soviet plan for using these missiles was....

I am learning about aes-cbc and to simplify things we need two parameters for encryption and randomness (key and IV). IV is random at runtime and will be used to randomize the first cipherblock which makes sense. My question though is that how can someone decrypt the private key but knowning only...

I've just finished the framing for a low deck that's partially over a concrete slab (see pics below). As you can see, there is minimal clearance under the deck for air circulation. I'm now thinking I should've laid a vapor barrier before building the framing over the concrete. I'm installing IPE ...

I want to find the following: $$ \int_{0}^{2}\int_{y/2}^{1}y{\rm e}^{-x^3} \,{\rm d}x\,{\rm d}y $$ using change of variables. I've solved $$\int_{-\infty}^{\infty}\int_{-\infty}^{\infty} {\rm e}^{-x^2}\,{\rm d}x\,{\rm d}y $$ by changing to polar coordinates, but it doesn't look like that will be ...

The book was about these 4-5 teens who lived near a research center on an island or something... I don't remember the set up as to why these kids were sneaking around on an island where someone was testing genetic modification, but they were. They find like a wolf/dog-puppy of some sort and like ...

I have a CSV file with 3700 routes, with each route represented by a row and the respective co-ordinates of that route in the following format. Since the distance of each route varies, the no of lat-lon pairs also vary. Row 1 : "[[12.91859, 77.63022], [12.91886, 77.63042], [12.919260000000001, 77...

What language did Jesus speak when he read Isaiah 61:1,2? Would Aramaic be spoken in the synagogue? Luke 4:16-19 New International Version 16 He went to Nazareth, where he had been brought up, and on the Sabbath day he went into the synagogue, as was his custom. He stood up to read, 17 and the s...

Titan is a shrouded moon, cloaked in a dense haze that obscures its surface to direct visual observation. Cassini, when it visited, had to rely on radar and near infrared imaging to see the surface [https://science.nasa.gov/mission/cassini/spacecraft/cassini-orbiter/imaging-science-subsystem/]). ...

A line with equation $L = (1, 0, -2) + s(2, -1, 2)$ intersects with the plane $x + 2y + z = 2 $ at an angle of $\theta$ degrees. I am having some difficulty understanding why the dot product is necessary and why I cannot simply obtain $\theta$ by using the right-angled triangle formed between the...

Let $G$ be a finite group and we take for the field the complex numbers. Call an irreducible character $\xi$ with degree $m$ of $G$ perfect, if all exterior powers $\bigwedge\nolimits^k \xi$ are irreducible for $k=1,\dotsc,m$. Question 1: Can perfect irreducible characters be characterised in an...

I was checking the specs of my crankset (Deore FC-M610) on Shimano's website and I saw that its q-factor was 176mm. I suppose this is the distance between your two feet when you are standing or sitting in a relaxed position. If so, my q-factor is 160mm. Do I need a narrower q-factor crankset in t...

In the proof of Proposition 6.2 in Farb & Margalit, "A primer on mapping class groups", an analog of the Euclidean algorithm is used to construct a simple, closed representative (oriented) curve for a primitive element of $H_{1} (S_{g} ; \mathbb{Z})$, where $S_{g}$ is a surface of genus $g$. Thi...

I'm trying to fit a Veer Split Belt to my old city bike. However, I have noticed that the front and rear sprockets are not well aligned. I can't move the front sprocket inwards, so the only way to align both sprockets is to move the rear sprocket outwards. My rear wheel has a Sturmey Archer 3 Spe...

There are a lot of functions provided by the expl3 programming environment that in interface3.pdf are marked with a black asterisk (fully expandable) or with a white asterisk (restricted expandable). Why are so many functions marked fully expandable without providing official information about th...

Trying to be as succinct as possible: I ordered an induction oven that is rated for 50A and NEMA-50R according to the manual. I called an electrician and he recommended we install 60A breaker and NEMA-60R receptacle because the oven is pulling nearly 12kW (his logic) Therefore he wants to change...

The music is notated for me to play a flam but it’s under a fermata. Do I just play it once or do I keep playing flams while director holds the fermata?

I'm trying to measure some leakage currents of both a Diode (expected around 5nA) and a MOSFET (20nA). My issue is my meter's measurment accuracy is only around 10uA, and I need an accurate reading. Is it possible to reliably amplify this current to a measurable value, or perhaps convert it to a ...

I'm pretty new to electronics. I'm building a device that has an aluminum enclosure, is powered by a 120V AC outlet, and requires roughly 520W of total power. My circuit is: AC input with a hot, neutral and ground On/off switch with hot and neutral for the AC input, and hot and neutral for the l...

Let $M$ be a compact smooth manifold, and $\mathcal{F}$ be a foliation on $M$. Assume that $L$ is a leaf of $\mathcal{F}$ for which there is $x\in L$ with the property that every neighborhood of $x$ in $M$ intersects a compact leaf of $\mathcal{F}$. Must $L$ itself be compact? Note that the exist...

Sorry if this sounds clueless - I actually am. I'm in a historical, literary field so I've never had to worry about doing any ethics approval things because I've never had to deal with real, living humans in my research, but I'm thinking about writing an article on the perceptions of a particular...

To start, let's say I have this simple unit test: @isTest public static void shouldCallFutureMethod() { Test.startTest(); System.enqueueJob(myQueueableJob); Test.stopTest(); } Given certain conditions, when I run myQueueableJob.execute(), then the execute() function will in turn cal...

Lets say I post a sign outside my house reading "if you break into this house, you agree to paying the owner a one million dollars access fee". This would be similar to how parking lots post their fees, which one is assumed to having accepted by simply leaving their car there. If a burglar enters...

Romans 4:2-5 2 For if Abraham was justified by works, he has something to boast about; but not before God. 3 For what does the Scripture say? “Abraham believed God, and it was credited to him as righteousness.” 4 Now to the one who works, the wages are not credited as a favor, but as what is due...

Two days ago, I installed Canon's software to use my DSLR as a webcam, using the link I found on this page. The installer required me to override MacOS' security settings. I did so, thinking that it is required for the extension to access my Canon camera. Now, I inserted a USB drive to my compute...

I want to add a 240v breaker at the main panel for a small garage AC that will go right next to it. There isn't a main breaker though and I assume this is still rule of 6 compliant hence so but just want to confirm. I assume I either need to call for a disconnect or plug in the new breaker while ...

Would there be some benefit to changing the chemical composition of 'air' in a space station/space suit (for the station: it's creating about .6 amount of gravity compared to Earth gravity via spin). Since we have to create/carry the chemicals up from Earth's gravity well anyway, would there be ...

I want to solve this problem explosion test case. I was wondering about what are usual the boundary conditions for this type of problems. I want the wave to bounce of the boundary of the domain (let's say walls). So far, to me, a zero velocity condition makes sense on the walls. But I think anoth...

In R.W. Sharpe's Differential Geometry, a flat fibre bundle is defined as a bundle whose transition functions are constant. I don't understand the difference between this and a trivial bundle. Because, surely if the transition functions are constant you can just perform a rescaling so that they a...

I was accepted into an MA in economics at a very prestigious school without funding and a PhD in politics at a reputable state school with full funding/stipend. My intended research in the PhD program is political behavior/behavioral economics, and the MA training would probably enhance my PhD re...

I will be making a wrapper around tabularray's \SetCell macro using lualatex. Using tex.sprint to produce \SetCell[c=2]{c} however produces a different results than typing it in out directly. Any thoughts on how I can get the two results to match? MWE: \documentclass{scrartcl} \usepackage{luacod...

In the given circuit I plotted I(R1) with respect to time and tried to plot it's derivative using d(I(R1)). However d(I(R1)) doesn't look like the derivative of I(R1), so I'm wondering what went wrong. Sorry, if this is a basic question, but I just started out with LTspice and I couldn't find a ...

Suppose there was an American third party candidate, call him RFK Jr., who won a quarter of the popular vote, and a single large state or a handful of smaller ones: specifically with enough electoral votes so that neither the Republican nor Democratic candidate could get to "270" in an otherwise ...

I want to solve this system of differential equations with Mathematica: NDSolve[{y''[t] + 3 y'[t] Sqrt[(y'[t])^2/6 + (1 - Exp[-y[t] Sqrt[2/3]])^2/4] + Sqrt[3/2] Exp[-y[t] Sqrt[2/3]] (1 - Exp[-y[t] Sqrt[2/3]]) == 0, q'[t]/q[t] == Sqrt[(y'[t])^2/6 + (1 - Exp[-y[t] Sqrt[2/3]])^2/4], m'[t] == 1/q...

Let $G$ be an abelian group and $M$ a $G$-module. The basic definitions: Let $H < G$ be a subgroup of finite index. We have a map $tr: H^0(H, M) \rightarrow H^0(G, M)$ on group cohomology defined by $m \mapsto \sum_{g \in G/H} gm$. This can be extended to a map $H^*(H, M) \rightarrow H^*(G, M)$ o...

I am asked to find the isolated singularities of the function and determine their typing, order, and finding the principal part at each pole. So for the first function, which is $\frac{e^z-e}{z^2-1}$, I know that it has poles of order $1$ at $\pm1$. However, when trying to find the principal part...

All three primary transmission wires in the picture below have smaller wires coiled around them. These smaller wires (secondaries?) connect to a transformer and onto a nearby house. The coils follow the primaries for about 1.5m and seem to be insulated. What is the purpose of the coiling? Does it...

After 06:00 in CNN's April 19, 2024 MTG says GOP support is ‘growing’ to oust Speaker Johnson there are several quick clips of Democratic representatives suggesting they would not vote to vacate if it came to that. One in particular caught my attention. Florida Democratic representative Jared Mos...

With reference to the Euler's totient function $\phi(\cdot)$, given any $n \in \mathbb{Z}^+$, it's quite straightforward to find $\phi(n)$. In contrast, given $n \in \mathbb{Z}^+$, even though there are to find the $k \in \mathbb{Z}^+$ such that $\phi(k) = n$, I'm not aware of any method to deter...

I'm trying to add stitching to a shoe, and I started by making a single stitch, then using the array and curve modifiers to try and get it to conform to the 3-dimensional bezier curve I created. It seems like once I select the fit curve option under array and select the curve, the stitch is only...

Arrr, we be claimin' lands and nabbin' flags, but alas, I be goin' blind. Be ye willin' to lend a hand decipherin' the jabber o'er the horizon? Just beware the cons: piracy. I be needin' a rest now; the world be spinnin' like north be west and south be east. (Full-resolution bucket o' pixels: ht...

we are working on an address validation tool for one of German companies, with thousands of addresses in Germany, and we wanted to store them in normalized form to be able to compare them more easily, but it appears that won't be possible, or more like it doesn't make sense for daily use of them....

This is a strengthening of a question another user asked, here: Are irrational numbers order-isomorphic to real transcendental numbers?. In the answer to that question, it was stated that the irrationals are order-isomorphic to the transcendental reals. My question is this. Suppose $S$ is a conti...

I am trying to send SMS via Marketing Cloud from SF Apex. My postman is working fine and it is shown below Postman Payload { "mobileNumbers": [ "PHONENUMBERHERE" ], "Subscribe": true, "Resubscribe": true, "keyword": "EMPCOM1", "Override": true, "messageText": "This...

I just purchased a new tongue drum off eBay. The listing title was: "BURNING&LIN Steel Tongue Drum" but under brand on the listing's details page, is: "Unbranded." It is 15" with 14 notes, a kind of blue-grey textured metal with a light grey macramé-ish thing around its waist, It came with a wh...

In the "Three Little Pigs", the wolf says "I'll huff and I'll puff and I'll blow your house in !". 1.in Does "in" means "inside"? I'll huff and I'll puff and I'll blow your house and inside it? 2.other adverb can i say "blow your house out" or "blow your house down"? I feel that "blow out" or "bl...

This article claims that after the collapse of the USSR, Russia was in such dire financial straits that flights up to the space station Mir could not only relieve the acting flight engineer Sergei Krikalev, but they could not even send up honey "because there was no honey." This seems very silly ...

I have no idea how to draw a leftright arrow in a table, this arrow should look like here Here the code for the table \begin{table}[] \caption{} \label{tab:arrow} \begin{tabular}{llllll} & & Text here ...

We know that checking the emptiness of intersection of an unbounded number of deterministic finite automata is PSpace-complete, and that just the emptiness problem for a nondeterministic two-way finite state automaton is also PSpace-complete. Is there anything known about checking the emptiness o...

How it is possible to use automative differentiation (computational graph) on operations like - convolution? I know that 2d convolution can be represented by matrix multiplication. But what about 3d convolutional or other more complex operations?

I have just started my PhD in Biomedical Engineering 2.5 months ago and started doing some simulations. My hope is that I at least have some publishable preliminary results, and have at least one publication of any sort (be it in a conference or journal) by the end of the year. I do understand th...

Given a simplicial commutative ring $R$, you have the usual K-theory spectrum $K(R)$ defined as the group completion of the symmetric monoidal category of finitely-generated projective modules over $R$. A more naive construction would be to just define a simplicial spectrum $[n] \mapsto K(R_n)$ a...

I have a transformer with a turns ratio of 6:24 (primary to secondary turns). I measured the primary inductance to be 3.05 microhenries (uH) with the secondary open and 1.725 uH with the secondary shorted. Similarly, the secondary inductance was 38.422 uH with the primary open and 20.79 uH with t...

Finding ways of powering electric cannons in a compact and lightweight manner has been a common source of interest to me. While looking through some articles and other answers I found out about explosively pumped flux generators which appear to me to be a fairly lightweight way of providing the e...

I was just reading something from the New Yorker magazine which stated: “Paying hush money is not a crime under New York state law,” Mark Pomerantz, a lawyer who worked in the D.A.’s office, wrote, in “People vs. Donald Trump,” an insider account of the office’s investigation of the former Presi...

I used to play this game at the house of a friend while I was studying for my A levels. We always played it as a two player game. I don't know if more players were allowed. A full game took maybe 25-40 minutes. The rectangular gameboard was relatively small. Maybe half the size of a Monopoly boar...

Beginer here. I'm trying to show that the closed $\beta$-nf's of type $ (\iota \to \iota) \to (\iota \to \iota) $ are the Church numerals ($\iota$ the base type, using the simply-typed lambda calculus). In Hindley's Basic Simple Type Theory, the lemma 8A5 states that every $\beta$-nf can be expre...

I would like to find words that look similar in spelling. Is there a tool (document, web site/application, and/or software) that can allow me to do that by using wildcards or regular expressions? For example r*v*ge can return ravage, revenge, and maybe more. Sources to find similar spelling words...

Imagine I fork a MIT licensed project on GitHub, make some changes and submit a Pull Request (PR). I own the copyright of my changes. The PR is accepted. A few years later, someone uses the software on something I don't like, and I sue the person for copyright infringement, saying I never license...

I was reading E. T. Jaynes' Confidence Intervals vs Bayesian Intervals (available here), and I came across this statement regarding Boole's The Laws of Thought: Boole's own work on probability theory... contains ludicrous errors... See his Example 6, page 286, where by a confusion of proposition...

Help me find the name of this movie. It looked like a very old movie, it was a parody maybe. There's a guy with a mustache. He’s in space I think, and there’s cyclops aliens. There’s a female and male in a different costume. The male is collecting junk and he gives mustache-guy something that l...

Only very small parts of the Malaysian and Singaporean populations hold a [master's degree in science/Master of Science degree]. First, though I know a master's degree in science is correct here, I'm not sure if a Master of Science degree is an alternative to it in this case. Second, should I w...

I fell upon an integer format for dates for which I also know the date, but I do not know how to get to that date in TSQL and I also do not know how to get to the integer if I have the date: 700444 -> 1918-10-02 731573 -> 2003-12-24 739479 -> 2025-08-16 It would fit as a counter for each day from...

I want to replace a standard light switch with a smart switch which requires a neutral wire. The box has a neutral bundle with 6 wires already. Can I remove one of the neutrals, connect it with a neutral pigtail off the smart switch, and take another neutral pigtail and connect this new bundle of...

Can you tile a $25 \times 25$ square (no overlaps, no gaps) with a mixture of $2 \times 2$ squares and $3 \times 3$ squares? This puzzle is by David A. Klarner.

Shor's algorithm dropped 30 years ago sometime in April, 1994. Peter Shor has given many wonderful accounts of the early history of the field and of what sparked his particular interest. Shor has been very consistent in stating that he was inspired by Simon's preprint; he initially saw that he co...

I don’t know this food. Can you help identify it?

Given the following 3 lines "unit": "mm" "unit": "s" "unit": "%" If I do a regex search /"unit": "[^sm]", it would return "unit": "%". However, for /"unit": "[^s%]" or /"unit": "[^s\%]", it didn't return "unit": "mm". Why is that?

In search of support for the translation of "the Word was God" in John 1:1, I wanted to find a similar usage of Θεὸς - specifically at the beginning of a complete thought and without a preceding adjective, possessive or article - and came across Luke 20:38, in which Jesus describes the God of Abr...

I want to do something like this: from wolframclient.evaluation import WolframLanguageSession from wolframclient.language import wl, wlexpr session = WolframLanguageSession() a = 1e20 session.evaluate(wlexpr(f"NIntegrate[x,{{x,0,{a}}}]")) But in Python str(1e20) is "1e+20" which can not be reco...

I'm trying to remember the title of a book on Commodore 64 programming that I had as a child. Here is what I remember about it: Published some time between 1982 and 1985 and sold in Canada. The cover was dark purple, possibly with orange and yellow accents, with a minimalist cartoon of a boy an...

Where should I go to find a Snorlax in Pokémon FireRed?

I am reading Atiyah, MacDonald "Commutative Algebra" and there it is said that ring $A$ is Noetherian if three equivalent conditions are satisfied. (1) Every nonempty set of ideals in $A$ has maximal element. (2)Every ascending chain is stationary (3) Every ideal is finitely-generated. I see why ...

According to Halacha, are Fedoras considered Lo Yilbash for a woman to wear? Or no, even though they are often worn by males, are they not considered men’s apparel that women are by halacha prohibited from wearing?

I tried to do a beta regression for a variable affected by age and intimacy, but it did not work well. The value of phi (precision) estimated by maximum likelihood method is very small, and when I actually draw the estimated distribution, I don't think it is modeling well. What could be the cause...

I'm trying to put all component values on the right side of the circuit. I have seen solutions with using label nodes in circuitikz but prefer to separate the two. I have only been able to come up with the following. I need to either put the labels at the top or center-vertically next to the circ...

I am looking for opinion polls that studied simultaneously antisemitism and Islamophobia (negative attitudes to Muslims/Islam) in North America and Europe. I am particularly interested in (anti-)correlation between the two - that is, how common it is for the same person to dislike both Jews and M...

The magnetic north pole, geographic north pole (centre of the axis of rotation), and solar-system-north are all approximately aligned, and aurora borealis is visible at the north and south poles whichever one you mean. If the earth was rotated to change its axis of rotation (perhaps so that geogr...

Both countries are EU countries, but only Germany is Schengen country. If that is possible to enter without visa, why? And for how long?

This sounds like a really daft question, but I am trying to clarify details on foundations on thermodynamics to myself, which will involve asking really (seemingly) basic things. When you have two systems with a diathermal (heat and work permitting) boundary between the two systems, we know the t...

This is tricky problem from textbook. Mathematica DSolve can't solve it. Maple gives same solution as given in back of textbook. First will show the problem ClearAll[y, x] ode = x^2*y'[x]*Cos[y[x]] + 1 == 0 ic = y[Infinity] == 16/3*Pi sol = DSolve[{ode, ic}, y[x], x] Gives DSolve::bvnul: For s...

Devi bhagavata mentions that water of Shamkha is particularly pleasing to all the Gods except Shiva. The water in the conch-shell is also very holy and pleasing to the Devas. What more than this, that the water in the conch-shell is as holy as the water of any Tīrtha. This water can be offered t...

When running FATE at a physical table, I've run into the following problems: PC aspects are on the players' character sheets, and therefore not visible to me (the GM) at a glance, so I don't remember what they are and miss opportunities for compels. Conversely, there's nowhere convenient to put...

I'm ready to pull my hair out. I made a script to backup and restore DB and Filegroup that build query like : RESTORE DATABASE [dashdb_dev01_2024-04-11 143711] FROM DISK = 'E:\SQL2019_Data\Backup\dev01\20240410\1437\dashdb_dev01_2024-04-11 143711.bak' WITH REPLACE, RECOVERY, MOVE [dashdb_dev01_20...

How can I interrupt an ongoing relaxation calculation in Quantum ESPRESSO on my system, while ensuring that I can resume it later from the same point?

After having replaced components such as tie rod ends etc the bolts and nut areas already have signs of rust starting on them, rusting further down the line. At times when these need to be undone to work/get to other components it is always a bit of a hassle. Are there any sort of products availa...

Does anyone know a simple proof of the following Prékopa-Leindler style inequality: If we have $f_1,f_2,g_1,g_2$ strictly positive functions on $\mathbb{R}$ such that, for any $x_1,x_2 \in \mathbb{R}$, one has $$f_1(x_1)^2 f_2(x_2)^3 \leq g_1(x_1)^2g_2(x_2)^3 $$ then $$ \left(\int_\mathbb{R} f_1...

I know that Ancient Romans avoided the word "bini" (pairs) because it sounded similar to the Ancient Greek f-word. But which word did they use instead? How would you say "four pairs" in Latin if not "quater bini"?

I want to make a rug from animal crossing but idk how to do it. I've tried using curves but I still can't seem to understand that feature well X) rug pic:

I have a document with class revtex4-2 in the APS style. I would like to keep the document class for stylistic reasons, but the document need not be styled for journal submission. I would like to include a very compact table of contents. Specifically: (1) top-level sections only, (2) minimal vert...

I have a practical question regarding the various applications of excitation signals in identifying Linear Time-Invariant (LTI) systems. Specifically, I am curious about the usage of the following signals: Stepped sinusoids Compact pulses Spread spectrum Chirp (I could imagine automotive radar a...

Dolphins are intelligent and live in groups. In my world, there is a magical way to cook food that would be possible underwater. Given that increased calorie availability, could cetaceans evolve a human-level intelligence and appendages suitable for tool use?

Overloading the operator bool() for a custom class T breaks vector<T> comparison operators. The following code tried on the first online compiler google suggest me prints v1 > v2: 0 v1 < v2: 1 when operator bool() is commented and v1 > v2: 0 v1 < v2: 0 when it's uncommented. #include <iostream>...

I wonder what is the trend or reaction of academia towards writing a thesis in MS Word or Thesis. I am in the process of finalizing my PhD thesis, which is in MS Word for now. I am equally proficient in both Word and Latex so I have no problem in porting my work from one platform to another. Actu...

When I do: display file.pdf it shows this: I can't resize the little window that it adds but I can remove it by clicking on the x. I can also remove the checkerboard effect that comes from assuming transparency, I think, with: display -alpha opaque file.pdf The text is now rough and slightly ...

I've been learning about Multi Layer Insulation (MLI) blankets for spacecrafts. I'm trying to figure out how to estimate the number of MLI layers that will be required at a particular orbit.Is there any method that I could follow while determining the number layers that will be needed for this pu...

At the end of the Third Age / early Fourth Age, Samwise/Gimli/Bilbo/Frodo/Galadriel got on boats and went to Valinor. How did they know that they would be allowed into Valinor? Valinor is usually closed to mortals, and Galadriel was banned from returning at one point. Only other ways I can think ...

I just bought the elite version of the a7 and just got it but when I shifted my shifter, it only shifted 9 times

SUBEXP is defined as the intersection of DTIME(2^n^c) over all c>0. The order of the Quadratic Sieve algorithm is O(exp((k+o(1))(logN)^1/2(loglogN)^1/2)). Doesn't this imply that the decision version of integer factorization is in SUBEXP? I ask because I can't find this result anywhere and I find...

My planet is in a binary star system where the second star orbits from pretty far off, about double Neptune's orbit. I've already confirmed that the star will be visible during the day, but how bright would it be at night? Would it even look like "night" as we know it? Star: Class: Main s...

Two sound frequencies differing in only a few hertz can create ‘beats’ and this has been popularized in music designed to produce ‘binaural beats’. Can two lasers be tuned in a similar fashion so that a radio frequency representing the ‘beats’ is created where the light beams overlap/interfere?

I'm using longtable to typeset a glossary. When microtype is enabled, it starts looking wrong as the first line of wrapped text in a cell gets shifted to the right. MWE: \documentclass{article} \usepackage{array} \usepackage{microtype} \begin{document} \begin{tabular}{@{} >{\raggedleft\arra...

Earlier today I was gifted this (what I assume to be) Nanoblock set, that a friend found while cleaning up the warehouse of a defunct musical instrument store. (I say Nanoblock, because the dimensions of the bricks seem to match and they have ridges on the bottom too. Even though Nanoblock is rar...

I wonder how to manage data from a lab device to my computer. Lab device has a RS232 serial port, but I can't connect it directly to my laptop with Ubuntu 22.04 so I need to figure it out how to handle it. I have already a kind of RS232 converter, like this one that I can connect to the laptop. ...

Suppose I place two glass slabs with different thickness and refractive indices in a YDSE setup. I was told that if $$ (\mu_1-1)t_1=(\mu_2-1)t_2 $$ then there would be no change in the interference pattern, as compared to the one without any glass slab. Why isn't this true for $$\mu_1 t_1=\mu_2 t...

Differential equations can be used to describe functions. Some famous ones include $$\frac{\partial f}{\partial x} - f(x) = 0$$ $$\frac{\partial^2 f}{\partial x^2} - f(x) = 0$$ The iterated running xor working on a sequence of numbers $\{x_0,\cdots,x_N\}$ on $\mathbb Z_2$ : $$\mathcal{X}\{x\}_{k}...

I like to read philosophy and some of the books published by academics are sold at very high prices compared to average layman books. I was wondering who is the target audience/customer for these published books. As the average reader is very unlikely to consider paying more than $20 for a book. ...

I have two groups (A and B) that each produce ORs of 1.44 and 1.50. However, if I combine the frequencies for the two groups to create a pooled dataset, I get an OR of 1.40. I get that it's not going to be a nice simple weighted mean or anything, but I would have expected that the pooled OR would...

why is this code (tracked it down to the siunitx \unit command) throwing an \endcsname? What are the general pitfalls with newcommand? \documentclass{article} \usepackage{pgfplots} \usepackage{siunitx} \pgfplotsset{compat=1.18} \begin{document} \newcommand{\axissettings}{ymin=-1, xlabel={Tes...

Exactly as the title suggests. What is the writ equivalent of habeas corpus, but for punishments other than detention? For example monetary fines, etc.

Back in AD&D, gravity on the Astral Plane was subjective, meaning that "down" was whatever direction you currently believed it was. Is this still the rule in D&D 5th edition sources?

According to the Debian package maintainer script documentation, the pre-install script can be called with either the install or the upgrade first argument: The preinst script may be called in the following ways: new-preinst install new-preinst install old-version new-version new-preinst upgrad...

I took my examination in differential equations earlier; i would've gotten a perfect score, but i tripped in this problem: $$(1+5y\sin x)dy + y^4\cos xdx = 0$$ I used substitution suggested by the equation: $w = \sin x$, $dw = \cos x dx$. I transformed it into a linear D.E., however, i was stuck ...

When I draw art assets for a game, should I fill the whole tile/frame? Would it look good in a game if I use less than the 32 by 32 pixels of the canvas, like the picture below?: When I export this pixel art, it changes the width to 21px and height to 28px, like below. What is the standard prac...

I'm trying to understand what the Radchaai are. Breq is Radchaai and an ancillary. She was once a ship brain. Anaander Mianaai is Radchaai. She has multiple ancillaries; does it follow then that she too is the hub of a ship with troops? Or is there another configuration? Seivarden is Radchaai, bu...

Is it possible to convert multipolygon to polygon when the result is self-intersecting polygon. I have bunch of of multipolygons that are essentially orginally formed to be multipolygons because they would be self-intersecting as a one part polygon. Im trying to convert these multipolygons to pol...

I was recently diagnosed with shingles, I've done everything I've been advised to do by a doctor to minimize contact at work. Due to where the shingles has developed doctor has advised me I can return to work as long as the area is covered. The area is on my back going around to my stomach. Shing...

Lost is a 2-D programming language where the start position and direction of the ip are entirely random. Today we will be writing a Lost program which uses this randomness to simulate a coin flip. A coin flip can have 3 outcomes: It lands on "heads" It lands on "tails" It lands perfectly balance...

I am going to teach an introductory course on quantum information and I thought about this statement that I want to give at the very beginning. Would you agree on that? From my perspective, every quantum notion has something to do with superposition at the end, right? Be it entanglement, computin...

When exploring the C++ binary, I find that libstdc++.so.6 is dyn-linked into libm.so.6 and libc.so.6: ldd /lib/x86_64-linux-gnu/libstdc++.so.6 linux-vdso.so.1 (0x00007ffcb737b000) libm.so.6 => /lib/x86_64-linux-gnu/libm.so.6 (0x00007fd3b2295000) libc.so.6 => /lib/x86_64-l...

The question stems from my search on staining metals; in particular I commonly encountered "Can you dye a molten metal" questions, with the usual, simple answer of "any pigment will decompose or burn in contact with molten metal." Well, I got some Wood's Metal, the bismuth/tin/lead/cadmium alloy ...

I am considering coming back to academia for a faculty position after a successful stint as an entrepreneur. I think I'm a strong candidate for many of the job posts I want, having a good body of research behind me, and proven tech transfer and teaching experience. As it is common for academic jo...

So, I'm new to use LaTeX and still haven't figured out how to use some functions. The thing is, I can't understand how can I replace the equation system on the left edge instead of center? I've seen some similar question here and tips given but still haven't undestood how can I do I do this in my...

I googled a lot but I did not find anything relevant. How to create in Tikz the following figure? https://fr.wikipedia.org/wiki/Moment_d%27une_force#/media/Fichier:Momento_de_uma_for%C3%A7a..png Here is what I did so far. \documentclass{standalone} \usepackage{tikz} \usetikzlibrary{calc} \begin{...

Good day all. I'm currently penning a document for my worldbuilding project that deals with the aesthetic (or rather design language) of the world's current level of technology. For reasons indistinguishable from mere whim, I found myself very interested in the computers of the 1980s, and extrapo...

I'm home brewing a Tarrasque-like monster for a high level one shot I'm planning, and for a mix of lore and gameplay reasons I'm debating if my beast should have the typical "immune to Bludgeoning, Piercing, and slashing damage from nonmagical weapons" or straight up just resistance to those type...

Fig. 85 on p. 115 of Roger Sessions' Harmonic Practice (1951) illustrates the triads capable of being sounded in the minor mode once one has permitted (1) lowering the second degree in the II chord, (2) raising the sixth degree in the II, IV, and VI chords, and (3) raising the seventh degree in t...

So, according to Humphreys:$\mathfrak{gl}_n$ is all $n \times n$ matrices, $\mathfrak{sl}_n$ is $n\times n$ matrices with sum of diagonal elements (trace) equal to zero and $\mathfrak{s}_n$ is set of all $\lambda I$ where $\lambda \in F$ (underlying field) and $I$ is the identity matrix (diagonal...