When decompiling an exe file, I have defined two structs struct A and struct B that are of the same structure. They appeared under different contexts, thus I assumed that they were different structs. However, as the contexts merge, I realize that these are in fact the same struct. Now I would lik...

Let’s say a regular person comes up with a new design for a missile with speakers so that said missile plays something like Flight of the Valkyries before impact to warn civilians or for psyops or what have you. Missile plus speaker equals novel. All hypothetical to motivate this question. is th...

My lecturer has stated multiple times in lectures that any function can be represented as a Fourier series. Then in the notes it says any that satisfy some "mild mathematical restrictions". I did some googling and found on this page that we know the sufficient but not necessary conditions for a F...

I'm not sure if this belongs here or on the drone site. What is the largest aircraft (not spacecraft) that has completed an entire flight, including takeoff and landing, either on autopilot or by remote control (or a combination of the two), with no person on board the aircraft controlling it?

I brought my buddy Herb my new Crossweb puzzle to try, and he wrinkled his nose. "No way. Far too difficult. Besides, there's only one type of Crossword puzzle I like and this is NOT it." What is Herb's favorite type of Crossword puzzle? (2 words) To find out, solve the Crossweb. Crossweb rules: ...

I record much of my practice for my own study and it tends to be interesting at least to me when I make mistakes. However I find some of my errors are valuable teaching tools for me to learn from. Except sometimes when its not a perfect recording I allay revisiting my recording preferring to forg...

I'm trying to sum an arbitrary number of random variables (in this case, 3, but I'd like to be able to easily vary that)... this does not work aD = ExponentialDistribution[a]; zD = TransformedDistribution[Sum[Subscript[x, i], {i, 1, 3}], Distributed[Subscript[x, i], aD]] Mean[zD] but this do...

I recently had an IKEA smart bulb (TRADFRI, E27) go bang, but it continued working. After disassembling it, I discovered that it was only a single capacitor that had failed. The capacitor is connected directly across the AC input (before the rectifier) and has the marking N154K 400VSD. I can't fi...

Oregon requires corporation names to include "Incorporated," "Corporation," "Limited," or an abbreviation of one of those. Is there any reason why a business owner might pick one over the others, other than simply preferring one of the names? E.g. does it matter if Bob's construction business is ...

I'm using the technique from this TeX.SO answer to produce a circuit with a crossing (I'm using Beamer because in the next step I'll use that to set a background image) \documentclass{beamer} \usepackage{tikz} \usetikzlibrary{intersections} \usetikzlibrary{calc} \usepackage{circuitikz} \newleng...

I am trying to design an alien forest ecosystem. The forest looks like this (from Dreamstime.com): The relevant difference between the real-life Swedish forest pictured and mine is that my world snows year-round, so the ground and trees are pretty much always covered in heavy snow. The temperatu...

In how many ways can I arrange the first $6$ positive integers such that this inequalities chain will hold? $a < b > c < d < e > f$ One of these arrangements is $\{5, 6, 1, 2, 4, 3\}$, but how many is it possible to find?

What hasn't worked I thought of elementary particles, but with antiparticles they can be converted into photons (thus the particles and antiparticles vanish), and photons can be converted into heat (thus the photons no longer exist). I have also thought of information, but it is not confirmed tha...

Given nonabelian simple groups $G_1,\ldots,G_n (n\ge 2)$. If $H$ is a subgroup of $G=G_1\times \cdots \times G_n$ such that the projection of $H$ to each $G_i \times G_j$ is surjective. Prove that $H=G$. I am trying the following approach: for any $a,b\in G_1$, there exists $h_a = (a,1,*,\cdots)$...

i have this array const input = [ { StockKeepingUnit: 'SKU-001', Quantity: 3 }, { StockKeepingUnit: 'SU-002', Quantity: 5 }, { StockKeepingUnit: 'SU-002', Quantity: 7 }, { StockKeepingUnit: 'SKU-d7', Quantity: 2 }, { StockKeepingUnit: 'SKU-d7', Quantity: 4 }, { StockKeepingUnit: 'sku-...

If we start in the gauge \begin{align*} \textbf{E}=-\nabla\phi-\frac{\partial\textbf{A}}{\partial t}, \end{align*} \begin{align*} \textbf{B}=\nabla\times\textbf{A} \end{align*} We can express everything in terms of the vector potential by performing the gauge transformation \begin{align*} \...

Mathematically, it is evident that var = sd^2 (or var^0.5 = sd), but R seems to answer TRUE for the latter and FALSE for the former. To my knowledge, both var() and sd() function use n-1 for degree of freedom. What would be the problem? data <- c(20, 20, 30, 20, 16, 13, 20) var(data)^0.5 == sd(d...

I have one of the Mac Studio Displays with audio issues. The audio is choppy, cuts off, etc. Switching to alternative sound source works, but it's $1500 display and I expect it advertised six-speakers audio system to work. Is there any permanent fix or any fix to this issue yet that would not inv...

I have a submitted a paper to a peer-reviewed top journal. It is in the second review round and as far as it seems, it will be accepted. I am considering to write an "acknowledgments" section (after the conclusion) in which I thank those researchers with whom I corresponded and whose work I cite....

I need to animate a car so that the wheels spin when it moves. I tried using drivers but it doesn't rotate the wheels locally, and the camber causes them to wobble. Is there a better way to animate the car so that the wheels don't wobble?

The September 26, 2022 news item in Science ‘Something is seriously wrong’: Room-temperature superconductivity study retracted discusses one individual who levied substantial criticism of the study, which eventually the journal Nature retracted without the consent of its authors. In preprints, H...

I need to install new lighting and old cloth wiring has tested positive for ACM. I am not doing the work myself, I am hiring an electrician but I will let him know what I have found. Is there any special precautions he should take.

Is function application itself a function? So given a function $f$ and an element $x$ we can define the function that takes $f$ and it's element $x$ to the value of $f$ at $x$? It feels incorrect, as then what defines the application of this function to $f$ and $x$, we would end up going through ...

Let $F$ be a free group generated by a set $S$. For $g\in F$, let $l(g)$ be the length of $g$ with respect to $S$. Now for $a\in G$ and $g_1,\dotsc,g_n\in G$, let $$T=g_1^{-1}ag_1g_2^{-1}ag_2\dotsm g_n^{-1}ag_n.$$ What can we say about $l(T)$ in terms of $l(a)$? Is it known that $l(T)\geq l(a)$?...

Consider the surface $S_{\epsilon}$ defined as: \begin{align} %S&=\{\vec x \in \mathbf{R}^3: x=0\}, \\ S_{\epsilon}&=\{\vec x \in \mathbf{R}^3:f_{\epsilon}(\vec x)\equiv\epsilon ((x^2 + y^2 - 4)^2 + z^2 - 1) + x=0\}. \end{align} The topology of $S_{\epsilon}$ is $\mathbf S^2$ when $\epsilon$ is s...

The question is: Does R code run faster in a function? Consider following examples: > start<-Sys.time() > for(i in 1:10000){} > Sys.time()-start Time difference of 0.01399994 secs > > fn<-function(){ + start<-Sys.time() + for(i in 1:10000){} + Sys.time()-start + } > fn() Time difference of...

I am trying to prove a group of order $351$ is not simple. I know this has many answers that involve Sylow's Theorems, but I was trying to do this using an alternative method. My idea is the following: Let $G$ be a group such that $|G| = 351$. If I can prove the existence of a subgroup $H$ of ord...

I have a transformer which outputs 0.33 A at 24 VAC. I would like to rectify this down to 5 VDC and minimal current, 50 mA being the maximum. I came across the following schematic which seems to be what I'm looking for. The only difference is that the output current in this schematic is ten time...

I need a general method for solving systems of logical equations like: $$ \begin{equation*} \begin{cases} c_{0} = a_{0} \land b_{0}\\\\ c_{1} = a_{0} \land b_{1} ⊕ a_{1} \land b_{0}\\\\ c_{2} = a_{0} \land b_{2} ⊕ a_{1} \land b_{1} ⊕ a_{2} \land b_{0}\\\\ c_{3} = a_{1} \land b_{2} ⊕ a...

i want to set field of Created From for an item in sitecore which appeared in the quick info section , how can i do that via sitecore or using powershell script?

I'm trying to draw a diagram for an interacting field theory. The diagram essentially just needs to consist of a loop connected to two external lines. The problem is that I need the loop to be made up of a dashed and solid line. So far, I have: \documentclass{article} \usepackage{tikz} \usepackag...

According to Wikipedia, the reign of the Babylonian king Amel-Marduk (also known as Awil-Marduk and Evil-Merodach) was started in October 562 B.C.E. and was ended in August 560 B.C.E. So, it lasted for two years. The page on Berossus mentions that he reigned for 2 years but, according to Josephus...

I am currently in the process of writing a book, and it's only after I've written almost 200 pages that I realized I didn't take into consideration the index. I'm using the package imadeidx which works great, but having written all my definitions, I now need to go back and append \index{} next to...

I'm applying to graduate school as a senior in my undergraduate studies. I know there's a good chance I won't get in, so I was hoping to ask the professor I am working under if I can research under him for a year while I apply again. What's the best way to ask if I can work under him as a backup ...

I have a huge file with numerical values in many columns and rows. The values for columns are all numerical and 98% are [0 or 1 and 2]; However for some these are beyond 0,1 and 2, for example 1.733336 or 0.4567777. I want to replace all values that are not 0,1 and 2 to NA. can i do this f...

I was reading about the calculation of the Shelter index of the CPI which accounts to more than 30% of the entire basket. It consists mainly of two parts: (1) Rent of primary residence, and (2) Owners’ equivalent rent of residences (OER). On how OER is obtained the BLS writes: The expenditure we...

Is Wheelock's Latin complete? By this I mean precisely the following: In reading the classical authors, will there be constructions, exceptions, etc. that are not covered by the textbook? When I write using only the grammar taught in the book, will I make mistakes (e.g. because a rule has been o...

After receiving a "brain," the Scarecrow in The Wizard of Oz famously says the following: “The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side!” Which as generations of know-it-alls have noted, is incorrect. That's a right tria...

The related thread from Feb. 1, 2021 initiated by Aaron (Who was listening to Bach's compositions in his lifetime?) was informative, but I have a more precise question. Who heard Bach's preludes and fugues for organ and when? Today we go to a recital in a church and sit in the pews and listen to ...

He pointed out that the bloc had eased curbs to let in Russian fertilizers to Europe, but was unwilling to do the same for developing countries outside the continent. “Using the opportunity, I ask UN Under-Secretary-General (for Political and Peacebuilding Affairs Rosemary) DiCarlo to … demand f...

I have a co-worker who will very often ask me to do things he could easily do himself, when they are not my responsibility. Often something like this. Him: "Hey, I wanted to talk to you and Jim about XYZ." Me: "Sure, does noon work for you? I could discuss it then." Him: "Yes, send us a calendar ...

Text version: GRINNING SUCCESSES INITIATION RESELLERS INITIATING SLEEVELESS CONCOCTION SASSAFRAS IGNITING ASSESSES --------- ---------- --- ...

We're rural and the house plumbing is from a lake-draw system with a sumbersible pump. We just noticed that the power wire out to the pump had its sheath damaged in the spring by either the ice going out, or driftwood in a storm, or something. The inner wires are not damaged. That spot will be un...

Suppose $H$ is an $n\times n$ symmetric matrix with integer entries. We can view $H$ as a symmetric bilinear form $H:\Bbb R^n\times \Bbb R^n\to \Bbb R$ defined by $H(v,w)=v^tAw$. It is then well known that $H$ is diagonalizable (http://www.math.toronto.edu/~jkamnitz/courses/mat247_2014/bilinearfo...

Let $A=\{\ell\}\cup\{a_n\mid n\in\Bbb N\}$ where $a_n\to\ell$. Prove $A$ is compact in $(\Bbb R, \tau_e)$. I tried the following: Let $\mathcal{C}$ be an open cover for $A$ and let $\varepsilon>0$. Now, we need to find a finite subcover. Since $a_n\to\ell$, then $a_k\in (\ell-\varepsilon,\ell+\...

I sometimes encounter characters like 鑫, which is made of three 金 radicals, or 龘, which is made of three 龍 radicals. What are they called and is there a reason for their existence? Ive tried looking online but havent found a good resource yet.

Suppose A is a symmetric $n\times n$ matrix. $A$ is diagonally dominant (dd) if: $$ |A_{ii}| \ge \sum_{j=0, j\neq i}^n |A_{ij}| \ \ \forall i=1,2,\cdots ,n $$ Is $U^TAU$ dd for every dd $A$ and orthogonal $U$? If we limit matrices $U$ to be permutation matrices instead of orthogonal matrices the...

I am having difficulty understanding how to correctly transpose this table from a database I am using. This table was created by someone who designed the database years ago, but I managed to retrieve the table's create statement using pg_dump. Here's the table with an example entry: CREATE TABLE ...

I'm curious about what happens when a soloist walks off stage after a performance? Where does she go? Where does the conductor go? Everything backstage is a mystery for me 😅

For context, Jamaican Patties can be thought of as an empanada; baked pastries with a little meat filling (roughly like 20% to 35% meat to pastry ratio). I know to the US, I can bring it in with no hassle, however, my main thoughts are can I bring it into the Netherlands? I have read a bit about ...

I am planning to visit Singapore for 2-3 weeks, purely for tourism. However, I work for a U.S. employer. So, can I work remotely for my US employer while visiting Singapore?

I read a novella (or novelette—I don't believe it could have been a short story) that I am almost certain was by Poul Anderson. It opened in an airport, flights cancelled by bad weather, with two men talking in the bar, one of whom is drunk enough to begin telling his story: how the goddess of an...

I would really appreciate it if someone could help me understand why the following sentence is grammatically incorrect: A doll was made me by my sister. The reason I think this sentence is incorrect is because of the following: I can’t piece together what this sentence means. I think this sent...

For example, does an air traffic controller say the full phrase ("expected approach time XX minutes") or are there other conventions?

I'm learning Revolutionary Etude by Chopin (Op. 10, No. 12), and I am thinking about the last chord before the last four chords (fifth to the last chord, at the beginning of m. 81). Should it be fortissimo or not? It sounds awkward if it isn't, but the music technically shows that only the descen...

I work at a community organization that receives a lot of donations, including tires, in various condition. We inspect tires for obvious damage and wear, and signs of aging like hardening or cracking. Are there non-obvious reasons to be wary of donated rubber that looks fine, just a little old?

This is a basic rot13 encryption program. I'm just looking for a general review, any feedback, or any optimization of what I wrote today as practice. I know that I need to not rely on indexes as I do in this code for iteration, but in this specific function I'm not sure how to get around it. imp...

Let $\cal{C}$ and $\cal{D}$ be two groupoids, i.e. the category whose morphisms are isomorphisms. Let $F:\cal{C}\rightarrow\cal{D}$ be a fully faithful functor from $\cal{C}$ to $\cal{D}$. Then is $F$ injective on objects? In other words, is the object function $F:{\rm{Ob}}(\cal{C})\rightarrow{\r...

There is a matrix that can represent a swap gate-- a gate that essentially swaps two qubits. This matrix, $S$, is: $$ \begin{bmatrix} 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 \end{bmatrix} $$ This will swap two single qubits. How would you go about swapping two qubit regis...

At 18th level, a Wizard gains the feature Spell Mastery. It reads: At 18th level, you have achieved such mastery over certain spells that you can cast them at will. Choose a 1st-level wizard spell and a 2nd-level wizard spell that are in your spellbook. You can cast those spells at their lowest ...

I have 1 inch EMT conduit in the garage on the wall, passing (4 wires) 4AWG THNN wire through conduit body inside the cavity of the wall into the main panel, is this allowed?

Is it true that if models A and B are such that the covariates of B are a subset of A, the AIC of model A is always smaller than that of model B? Why?

Some retro games are moddable by design (have built-in map editors), others were disassembled long time ago and their level formats decoded, and custom editors created, others just have their source code published, which makes it easier to decode the format of resources inside the game executable...

I mean $$\int_ 0^{2\pi}\frac {\sin (10050 t)\sin (10251 t)\cos (2022 t)} {\sin (50 t)\sin (51 t)} dt.$$ Here is my unsuccessful trial: NIntegrate[Cos[2022*t]*Sin[10050*t]*Sin[10251*t]/Sin[50*t]/Sin[51*t], {t, 0,2*Pi}, AccuracyGoal -> 5, PrecisionGoal -> 5] NIntegrate::ncvb : NIntegrate failed ...

I was taught that in English the "when part" of a sentence goes at the beginning of the sentence. However, I feel that when using "during X", it is preferable to include it at the end of a sentence, rather than at the beginning, which goes against the general rule. Take this random example: Duri...

I am trying to understand the negative tradeoffs in creating more custom indexes on an sObject. Yes, they are helpful with query selectivity which speeds up reading data, but at what price. Specifically: What are the tradeoffs in increasing the # of custom indexes on the object? When you have mo...

I know a graph can intersect its horizontal asymptote (1, 2, 3). I think it's possible for a graph of a function to intersect its vertical asymptote. Example: Define $f:\mathbb{R}\rightarrow \mathbb{R}$ by $f(x)=1/x$ for $x\neq 0$ and $f(x)=0$ for $x=0$. Then $x=0$ is a vertical asymptote for and...

so am new to blender and just finish the animation but rather than export to rendered, I like the solid mode more. so can I export it to solid mode?

I am trying to understand oscillator basics. I thought I already understood how a capacitor works, but I still get confused about it. This circuit is an RC phase shift oscillator. I understand that we need 3 capacitors to get a 180° phase shift in the feedback circuit (3×60°, but the exact phase ...

I am just learning about the outlay of my worksite which has a multi block setup (physical buildings) each connected by their own fibre connection to the main aggregation switch. I am in the process of figuring out what kind of fibre each connection is, because the buildings have been build over ...

Is there a general method to solve the equation $P(x_1,x_2,...,x_n)=0$ with $P$ is a polynomial in $n$ variables with integer coefficients and $x_k=\cos(q_k\pi)$ with $q_k$ is a rational number? This type of equation appears in the problem of classifying all tetrahedra whose dihedral angles are m...

The world of Ruquelis has some problems. It is populated by men, women and winged lilim as in this question: How to get the Lilim to breed true?. People on Ruquelis reincarnate according to the mechanism I describe in this question: Is it reasonable that a nation reject reincarnation?. Ruquelis...

In the application I am developing, the user cannot make a new product if they have not first created at least one category and one supplier to associate the product with - My question is: how should I indicate this to the user if, for instance, they try to create a new product without doing this...

Does any know know how does metamask lock function works? In certain Dapps, you can disconnect the wallet from the Dapp itself. But all they are doing is that changing the account state to empty string. const [currentAccount, setCurrentAccount] = useState(""); const disconnectWallet = () => {...

We recently got a Simmonsohn Trohnheim tandem bike. I want to add a bipod kickstand to it, but I am unsure where it must go: the front or rear crank hub? Also, can anyone recommend sturdy bipod kickstand for tandems? Thanks

In order to answer this question, first I define a region around the equator. eq = GeoBoundsRegion[{{-3, 3}, {-180, 180}}] GeoGraphics[eq] Next, I wanted to find cities within this band but could not use GeoWithinQ directly. Instead, I used GeoNearest to find three cities that are in close prox...

Around 2005 I remember reading a short story about an Earth probe that landed on another planet with aliens on it. The alien race determined seniority by the amount of heat they accumulated, which was visible when they spoke to each other. After the probe landed on the planet, some of the younge...

microcode_ctl-20220207-1.20220510.1.el9_0.noarch.rpm is an AlmaLinux microcode patch RPM package. What is the difference between BIOS microcode and OS (in this case, AlmaLinux 9) microcode?

I want to try and compile and run bitcoin-cli locally. Do I need to download the entire blockchain first?

When I try to add new user or edit existing user and assign some role by clicking 'Member Of' tab and then edit button, I am getting below error. I am using Sitecore version 10.1.0 (rev. 005207) Please help

If an academic group receives a multi-year grant denominated in a currency different from that that they pay salaries, can they use some of the grant to hedge against changes in the relative value of the two currencies? Some years ago I was a member of a group in the UK that received a substantia...

I have read claims that the tritone, due to its dissonant nature, is used for things like police, ambulance, rocket or tornado sirens. I am a beginner music theory learner and would not be able to identify it with certainty just by listening to it. If this is indeed true, I am looking for an answ...

The entropy of a discrete random variable, taking value $i$ with probability $p_i$, is defined as $$ H(X)=-\sum_{i}p_i\log (p_i),$$ and can be seen as the amount of information gained once we are told the value of $X$. It is a measure of disorder of the system. Clearly $H(X)$ will always be non-n...

Russia last week held a referendum on whether the occupied regions of the Ukraine would want to join Russia. Many states and international institutions have already made clear that they will not accept the result, because it seems obvious that the outcome will be faked and people are not free in ...

I have designed this spell: Hiccupera 0th-level transmutation Casting Time: 1 action Range: 60 ft Components: S, M (a spoonful of sugar) Duration: Concentration, up to 10 minutes Classes: Druid, Bard, Sorcerer You point at a creature within range and wiggle your finger. The creature must succeed...

I've been trying to understand the (4 line!) proof of Lemma 2.3 of Limits of small functors, on small functors into copresheaf categories $\mathbf{Set}^\mathcal C$. To me it seems to be using that the functor $\mathbf{Set}^\mathcal C \to \mathbf{Set}^{\text{ob } \mathcal C}$, defined by precompos...

Mushin on Wikipedia: Mushin in Japanese and Wuxin in Chinese (無心 "no mind") is a mental state. Zen and Daoist meditators attempt to reach this state, as well as artists and trained martial artists. They also practice this mental state during everyday activities. Is this a real thing? It can be ...

This is how the 2 Schottky diodes are connected: Why is it?

Ideal water waves are surface mechanical waves which are ruled by wind (disturbing force) and gravity (restoring force): CC BY-NC-ND This work by Dan Russell is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. Based on a work at http://www.acs...

I want to solve $a_{n+1} = (1 + \alpha) a_n + \gamma$, where $\alpha$ and $\gamma$ are some constants. Wolfram alpha returns: $a_n = \frac{\gamma ((1+\alpha)^n-1)}{\alpha} + c (1+\alpha)^{n-1}$. Any idea how Wolfram alpha has solved this?

We have a service running behind https and we are using SSL certificates from Let's Encrypt. The problem is that one of our clients distrusts Let's Encrypt CA and on certificate renewal it requires to us to send the newly generated certificate in order to add it to the trust chain. Is this a comm...

Problem : Determine all twin primes $p$ and $p+2$ for which $p(p+2)-2$ is also prime. First, $3$ and $5$ are primes and $3*5-2=13$ is also prime. Assume that $p=3m+n$ $(n=0, 1, 2)$ and 1$\leq$m. i.e. $p>3$ Then $n$ cannot be $0$ since $p$ is prime. And $p$ cannot be $3n+1$ since $(3n+1)+2=3(n+1)$...

I have a file with the name: this is my app.ipa I'd like to rename this file: mv $(path)/this is my app.ipa $(path)/this_is_my_app.ipa Does not seem right... Thanks in advance.

For a few of my apps, the preferences/apps control panel shows an incorrect (outdated) version. winget reports the same thing. For example, I have installed OBS Studio 28.0.2, but winget thinks it's 25.0.8. Same thing with another software suite (Topaz AI): Three of the four apps show the correct...

Gideon, The Oathsworn has an ability that transforms it into a non-human creature. If we should mutate on Gideon while he is alive what would happen? Let's say we mutate the card with Boneyard Lurker.

Here's my code - \documentclass[12pt]{book} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{graphicx} \usepackage{syntonly} \usepackage{amsthm} \usepackage{parskip} \usepackage{tabularray} %xparse package needed for physics package to work properly \usepackage{xp...

Given a number n, Here are two operations can be taken: n - 1 n divide by its prime factor Question: In order to decompose n to 1, what is the minimal operations should be taken? For example, in term of number 29, it is a prime number. So, the number of operation is 1. For number 30, the number...

I'm interested in developing audio software. I've read the books by Will Pirkle and there's something I'm struggling to understand about how non-linear functions affect the frequency spectrum of a signal. Particularly I'm concerned about avoiding aliasing noise. In his book, Pirkle points out the...

This is my first time working on using WGCNA on a microarray dataset. One of the major problems I am facing is merging close modules which is not really working well. I have quantile normalised the data before working on it. I have put my code below and link to some of the plots generated during ...

I am in the process of planning my first ever window replacement and am trying to understand the anatomy of a window, inside and out. Here are two photos (inside and outside) with some labels, and I am trying to understand what all of these labeled parts are called, and what purposes they serve: ...

A school photo must be taken of a class consisting of 18 students and two teachers. The photographer wants that all people should stand next to each other in a row, but there should be exactly 8 students between the two teachers. In how many ways can this arrangement take place? I am not sure h...

I am fairly new to Sudoku and couldn't find how to progress with this one without guessing.

I washed bucket of wet drywall compound down my toilet. Will it clog the pipes? What might be some possible solutions?

I try to use a function export const styleIconFeatureFunction = async () => {} for style: const clusterVector = new VectorLayer({ source: clusterSource, zIndex: zIndex ?? Infinity, style: (feature) => styleIconFeatureFunction( feature, icon, { ...

I'm applying to grad schools in the U.S. for a Ph.D. in mathematics and I recently read about the key differences between an SOP(Statement of Purpose) and a PS(Personal Statement) after noticing a few universities requiring both separately. My question is for the universities that only ask for on...

Suppose I have the following (simplified) data frame: set.seed(123) df <- data.frame("extracolumns" = rep("random", 6), "which.x" = c("x1", "x2", "x3", "x2", "x3", "x1"), "which.y" = c("y2", "y2", "y2", "y1", "y1", "y1"), "which.z" = c("z3", "z3", "

I am aware that there were quite a few questions about the interaction between Alchemist's Fire splash damage and Burn it! feat. However I think one thing remains without an answer: what about critical hits? Normally you don't double the splash damage, and you would double the status bonus to the...

In my research of AGPL I have found that creating REST API around AGPL licensed library is enough to make it communication at arms length and as such it bypasses the need to publish all of your codebase. If I use a public API endpoint that has its source code licensed under AGPL in my app, do I n...

On the MacBook white 7,1 (mid-2010) the operating system can be upgraded this way: Snow Leopard 10.6.8 → El Capitan 10.11 → High Sierra 10.13 I have no special reason for upgrading, apart from the fact that some web sites nowadays are poorly compatibly with outdated browsers, and also that old sy...

I recently stumbled across this image on wikimedia commons. It's a little bit of an information overload at first, but after examining it a bit it shows an interesting number system for writing nibbles. Image created by user Watchduck. First off a "nibble" is a 4 bit number which is really a nu...

Suppose I have a nested table given by: t[i_, j_] := j^2 - i^2 - 1; Table[{j, Table[{i, t[i, j]}, {i, 0, 4, 0.1}]}, {j, 1, 4, 0.1}] I need to plot j v/s ic, where ic is the first (critical) point at which t[i,j] becomes negative. For example, for j = 1, ic = 0.1, for j = 1.1, ic = 0.5, for j = ...

Under N.J. Stat. § 2C:45-1.b.(6), one of the standard terms of criminal probation that may be imposed in New Jersey is: To refrain from frequenting unlawful or disreputable places or consorting with disreputable persons; I'm having a little difficulty understanding what criteria would have to b...

A robot is placed on an empty infinite grid. Each turn it can move in one of four directions: left (L), up (U), right (R) or down (D). It cannot move to a cell that it already visited. Also it cannot repeat triplets of consecutive moves. For example if it has moved RRDLD then it cannot go RRD or ...