I heard recently in a talk by Alain Connes that a certain Woodword (or Woodward or Woodard, not sure with reccording quality) showed an important result that a quantum theory of gravity cannot be built directly from Planck-scale elementary degrees of freedom (like causal sets do, I presume), and ...

I just learned that the famous and beloved Robert Louis Stevenson novel Treasure Island was first published in serialised form in the magazine Young Folks under the pseudonym of Captain George North. My question is two-fold: Why did Stevenson publish under a pseudonym at all? (I suspect the answ...

I remember watching a few cartoons from the franchise, Denver, the Last Dinosaur, about a dinosaur that survived to this day. However, I also vaguely remember seeing a trailer for another 3D-animated movie about a dinosaur that survived to this day, but is different from Denver. Denver almost nev...

Thomas Jech's Lemma 5.9 states: Let $\langle k_i : i < \lambda \rangle$ be a sequence of cardinality $\lambda$. It holds that the infinite product $\prod_{i < \lambda} k_i = (\sup_i k_i)^\lambda$ Here's the proof: I understand most of it. We first state the obvious fact that the product is bou...

I have the following example: \score { \new Staff { \relative { \clef bass \time 6/8 \key c \major fis'8 e dis e b <<dis!-3 fis-1>> | << \voiceOne { g4.-1 g4.-1 ( | fis4.-1) fis4.-3 ( | e4.-2) e4.-4 ( | dis8-2) s8...

I just uncovered this behavior in an unrelated script and this is the minimal reproduction case I can come up with. This behavior is only triggered when Mail.app is not running. When that's the case, AppleScript seems to fall back to MailQuickLookExtension.appex which isn't actually available a...

In this code, I am validating whether one is filling the username, password, first name, last name, and gender. However, the way I am doing it is that I have separate if conditions that check each one. I want a single if statement that checks all of them, or at least a way to shorten this code. H...

Consider a probability distribution $P$ over a support set $A$. Now consider a subset $S \subset A$, and define a new probability distribution $Q$ as, $Prob_Q[x] = Prob_P[x]/Z \;\textrm{if}\; x \in S; 0 \;\textrm{otherwise}$ Here, $Z = \sum_{x \in S} Prob_P[x]$ In simpler terms, some values from ...

This is Poirot's questioning Miss Collins, as narrated by Captain Hastings: As we stepped out into the hall and the panel closed behind us, a young lady came out of a door farther down the passage. Mr. Waverly presented her to us. “Miss Collins.” Miss Collins was about thirty years of age, brisk...

Please tell me where I have a syntax error that prevents me from finding extreme points? SnPacked[n3_]:= S11 (1 - n3^2)+ S33 n3^4 + (2 S13 + S44) n3^2 (1 - n3^2) /.(* MgCoeffs*) {S11 -> 23.9 * 10^-12, S12 -> -9.48 * 10^-12, S13 -> -5.36 * 10^-12, S33 -> 20.9 * 10^-12, S44 ->

When are we morally responsible for our actions if we are tricked? Is there a system of thinking about those sorts of scenarios? e.g. if I am tricked into someone has wronged me and I make false justice on account of that. I am especially interested in when the deceit is not very convincing to so...

I'm trying to develop a switching circuit using IRFZ44N and 7805, the regulator is used for converting the 12v input to 5v, which is used for activating the MOSFET's gate. It works perfectly when I turn it on, but when I turn it off, I get negative voltage readings at the gate terminal around -1 ...

I want to introduce tensor products in a 2nd year in a linear algebra course. The demographics is typical: mathematics, physics, computer sciences, etc. students, who already had a course focusing on linear systems. The syllabus is also typical: we will follow Linear Algebra Done Right, versing o...

Short Version Why do I have 4 entries for the official ChatGPT desktop app in my Windows Firewall? I tested disabling the entries and the ChatGPT app still works... If you have the ChatGPT app installed in Windows, do you also have these entries in your firewall? Long Version I have been using t...

I am a master's graduate. My master thesis was a research thesis, and I did before another research internship. I think I lack structured knowledge about AI and practical experience, I love research but I think some time in industry will make me a better researcher. I have an industry and researc...

Let $(a_n)_{n \ge 0}$ be a sequence of real numbers such that $a_0>0$ and $a_{n+1}=\frac{1+\sqrt{1+a_n^2}}{a_n}$. Prove that $\displaystyle \lim_{n\to \infty}a_n=\sqrt{3}$ and find $a_0$ such that the sequence $x_n=2^n(a_n-\sqrt{3})$ is convergent. I initially tried to show that the sequence $(a_...

Given a 2D point $(x, y)$, I can conceptualize a rotation as taking place around a vector orthogonal to both the x and y axis (the z axis). As far as I'm aware, for a 3D point $(x, y, z)$, rotations are always constructed around a vector within the same 3D space, not one orthogonal to all of the ...

I watched this movie during my childhood. It was a sci-fi movie and the environment is like a cyberpunk game or the Blade Runner movies. The sky was pitch-black all the time because the ozone layer had depleted and scientists did something to make the world pitch-black, like it was night all the ...

I found here methods to set the arrowhead to the height of the nodes. But I was wondering how one could do this using the calc library. In the following code, I use the calc library to measure the height of a node to \NodeHeight and then configure an arrowhead of type Bar to this height: \path l...

For the life of it I can't get any space in front of the label name "ground". Now it is stuck to the wire connected to the ground symbol. I have tried [sground, label distance=1 cm], but then this text appears as label. And variations. I just want to have some space in front of the label "ground"...

I've build my own boost converter using LM5121 IC. See the schematic below, PCB layout (encircled by green line), and 3D view (encircled by red line). EN signal is toggled between 0V and 3.3V. When at 0V the output would be 0V as well and zero current drawn. However, when above 1.2V it would o...

My employer wants me to go to Country 1 in Schengen for Business Meeting for 3 days I will extend my trip to Country 2 in Schengen for Tourism for 5 days I will enter and exit Schengen from Country 2 Flights tickets to Country 1 via Country 2 from my home country is being sponsored by my employe...

Photos in question, original raws: https://drive.google.com/drive/folders/1DrOTLWPrS7X0k4i3FQEeXY2wjEl8FrSR I've taken these two photos (manual mode, Canon 7D M2 with kit lens EF-S18-135mm f/3.5-5.6 IS), one by one with same settings, but exposure time and ISO. I take photos of sunsets quite ofte...

I've been working at the same company for several years, but I was moved under my current manager about one year ago. My manager doesn't seem to understand my contributions, and makes false assertions about my lack of contributions. Here are some recent examples: Boss's claim: "notmySOaccount di...

I'm reading Set Theory by Thomas Jech. In this book, the Axiom of Power Set is introduced before the Axiom of Infinity. I was wondering whether we can obtain the power set of a finite set without relying on the Axiom of Power Set to guarantee its existence. If that's possible, does it mean that t...

Is the color blue “really there”, or is it a composite phenomenon of other things which the brain melds into a seemingly unitary phenomenon? When I think of the word “similar”, I have the sensation of inherent, conceptual, psychological meaning. It feels hard to capture the meaning of a word like...

Consider the following dataset in 1-D space, which consists of 4 positive data points ({0, 1, 2, 3}) and 3 negative data points $\{-3, -2, -1\}$. Suppose that we want to learn a soft-margin linear SVM for this dataset. Remember that the soft-margin linear SVM can be formalized as the following co...

So I’m gonna level with this one, I’m not really sure how to deal with my time with philosophy. I know I mentioned before that I am on the spectrum, which means my thinking tends to be black and white when it comes to topics. The things I read in philosophy read more like rules to follow and that...

I'm located in California and installing a branch line for a new GE Profile Induction Cooktop. The manufacturer specifies a 50 Amp breaker and 6 gauge wire. The wire whip attached to the stove has two hot 6 gauge wires and a 10 gauge ground. I've already installed a 3/4" Aluminum Flex Conduit ...

I saw a deal for cheap road bike TPU tubes on a well-known Asian shop so I ordered several. After some time I tried to use one when changing to a trainer tyre for winter but I found out that the valve does not hold air. When trying to tighten the valve core by screwing it I found out that I am ba...

After reading a few Q&As (1, 2, 3, 4, 5) I'm still wondering. Is there ever a method to invite a (beginning teen, or "tween") child to help with household chores, simply to be helpful? Consider this exchange, over breakfast: I would like to ask for your help. We need to remove the remaining leav...

I have a wind turbine using an induction motor as a generator. It’s an inexpensive way to do a grid tie but it would be great to have it start generating at lower wind speeds. If the same magnetic field scenario could be duplicated at lower RPMs the turbine would be much more productive.

This came up in the comments of another thread (see Does John 1:6, 12, and 13 refute John was influenced by Philo's writing on the Logos?), but how should θεος be translated in Luke 20:38? Θεὸς δὲ οὐκ ἔστιν νεκρῶν ἀλλὰ ζώντων πάντες γὰρ αὐτῷ ζῶσιν He is not θεος of the dead but [θεος] of the l...

I have been playing guitar for about 15 years (on and off). I mostly play acoustic guitar but when I play my electric guitar I easily and accidentally bend the strings so that the chord I am playing sounds out of tune. Will this be solved by putting heavier strings on the electric guitar? I have ...

The rules for following state that after the current player has taken an action, "all other players have a brief moment to decide whether they want to follow". They also say that "following order should be resolved in clockwise order, starting from the player to the left of the active player". Th...

Location: United States Background In social situations, especially with family and friends, I (mid-30s) try to limit myself to no more than 5 words at a time. I enforce this limit because I am typically interrupted at the 5-word mark anyway. I've asked them to let me speak longer, but I only cau...

I have measurements of N points, p, in 3D in two coordinate frames (xyz and XYZ): $$ p_i: \vec{x_i}, \vec{X_i} $$ The coordinate frames are rotated with respect to each other: $$ \vec{X_i} = R\vec{x_i} $$ where $$ \vec{X_i} = \begin{bmatrix}X_i\\Y_i\\Z_i\end{bmatrix} $$ $$ \vec{x_i} = \begin{...

I read in some scooter's user manual: During the first 500 km (300 miles) of running, follow these guidelines to ensure your vehicle's future reliability and performance. Avoid full-throttle starts and rapid acceleration. Avoid hard braking. Why does one have to avoid hard braking, full-throt...

I have a list of latitude & longitude pairs for around 2700 points of data: https://github.com/davwheat/uk-railway-stations/blob/main/stations.csv I have a GeoJSON of the UK ceremonial counties: https://github.com/evansd/uk-ceremonial-counties/blob/master/uk-ceremonial-counties.geojson I want to ...

I hope that everyone is doing well! I'm working on a science-fantasy story in which I'm trying to create something similar to the Alcubierre drive (or the warp drive, depending on how I want to spin it). The main problem that I'm having is actually determining not only which type of matter/energy...

Joe Malkevitch suggested exploring tetrahedra with edge lengths $3,3,3,3,5,5$, in light of $3^4 \cdot 5^2 = 2025$. Q. Is this realization unique? I.e., is there no other incongruent tetrahedron with these six edge lengths?

FIRST FOURTH SECOND FIFTH FIRST SECOND FIFTH FIRST FOURTH FIRST _____ The above puzzle is so challenging that I don't expect to receive a single solution to it! If you do somehow manage to crack this dastardly enigma, you may check your work with this wordplay-only cryptic c...

I am looking for all of the rules and concepts in lyric setting and how to properly apply them. The definition of lyric setting is, the process in songwriting of placing textual content (lyrics) in the context of musical rhythm, in which the lyrical meter and musical rhythm are in proper alignmen...

This is a repost from my question on Math Stack(https://math.stackexchange.com/questions/5017788/is-there-a-connection-between-selbergs-conjecture-and-the-burgess-bound-the-w?noredirect=1#comment10764698_5017788) with some additions: Lots of techniques for subconvexity estimates have barriers at ...

If the environment variable DISPLAY is set and I do /bin/su - root from a user shell in an X terminal, then a login shell for root is setup and the DISPLAY environment variable is still present. If I do /usr/bin/systemd-run --quiet --setenv DISPLAY -t /bin/bash -c 'echo "DISPLAY is ${DISPLAY}" ; ...

I am trying to create a set of lecture slides with quiz questions embedded in them. I would like to create a handout that contains the answers to each (with an explanation). The problem is that the handout option shows all of the contents of the slide. I want to have only the last slide that woul...

We know that many software must be written in C/C++ (such as 3d max, maya, auto CAD and other industrial-grade desktop software) to improve operational efficiency (utilizing the CPU). Now Google has introduced a quantum CPU. We all know that writing software in C/C++ is cumbersome, requiring manu...

It’s about four kids their friends three boys and one girl. Two aliens come to earth that are blue and green and the alien ask if the kids can help them save the universe. The group leader wears a blue/black super suit, one of the boys can shape shaft he wears red/black he always get trouble in s...

I am working on a book class and need to create a Table of Contents that exactly matches the format shown in the image. I have searched online, but the discussions mainly focus on removing indentation. However, the Part, Chapter, Section, and Subsection titles are still not properly aligned. I wo...

For IID (independent and identically distributed) Bernoulli random numbers, we can simply run, say in R, as ### IID: xi ~ b(1,p), i=1,2,...,n ### try: simply p=1/2 ; or p=e/Π≈0.865256 # n=100000; set.seed(0); p=1/2; x=rbinom(n,size=1,prob=p); c(mean(x),var(x)) n=100000; set.seed(0); p=exp(1)/pi; ...

While solving mathematical equations in physics and STEM, can we take help from ChatGPT (in the same way as one would use a calculator or log tables) and use Mathematica packages instead of using pen and paper. Is using ChatGPT or Mathematica a good habit for budding theoretical physicist? My que...

The definition of a fair game is: if $E[X|Y] = 0$ for all realized value of $Y$ then we say $X$ is a fair game w.r.t. $Y$. I think the statement is false. A counter-example is $X = U(-1, 1)$ $Y = X$ or $-X$ with equal probabilities. Then $E[X|Y = y] = \frac{1}{2} \times \left(y + (-y)\right) = ...

Suppose $\sigma$ is an irreducible representation of $S_n$ and $s$ is a reflection (a $2$-cycle). Let $\chi(w)$ denote the character of $w\in S_n$ on $\sigma$. Claim: if the ratio $\chi(1)/\chi(s)$ is an integer larger than $n$, then it can't be coprime to $n$. I have checked this claim for $n\le...

I have the numbers 1, 2, 3, 4 and 5 on five separate cards. Every minute I pick up three of the cards such that the sum of the numbers on the selected cards is always at least 9. What is the minimum amount of time I need so that I have picked up each card an equal number of times? I came up with ...

AFAIK, this is a RF transmit circuit, I have seen some explanation in the other similary question:SAW resonator oscillator operating principle in which the accepted answer says: C1, C3 and the SAW filter from a pi filter that in conjunction with the output impedance of the T1's collector produc...

So, I'm revisiting relativity and got quite an impression from the argument made by Landau/Lifshitz in their classical mechanics book. They start with Galilean relativity and absolute time. In short, on one of the first pages, when introducing the interaction potential into the Lagrangian, they d...

I'm talking about this piece of code (see also full MSBOOT.ASM file), present in both MS-DOS 4.0 and 6.22: ; mov byte ptr [di-2], 1 ;AN000; Head settle time ;J.K. Change the head settle to 15 ms will slow the boot time quite a bit!!! mov byte ptr [di-2], 0fh ;AN002; Head settle tim...

I'm trying to find a fantasy book I read in the 2010s about a boy from a civilisation living underground with crystals as light sources. The main character is a teen boy. A teen novel about a boy and his female friend trying to go to the surface from an underground civilisation that uses crystal...

What is the best way to remove a plywood countertop in the laundry room that’s glued in place? Is it possible to leave the support pieces that are screwed into the wall for my replacement countertop (butcher block)?

The diagram shows an equilateral triangle, a black semicircle, two congruent red circles and two congruent green circles. Wherever things look tangent, they are tangent. Let $g=\text{radius of green circles}$, $r=\text{radius of red circles}$ Without using a computer, determine whether $g$ and ...

CW Sexual violence. Murder. Filicide. Cannibalism. tl;dr When and how did Procne become identified with the nightingale, Philomela with the swallow, in Greek poetry? When and how did this identification flip around in Latin poetry? What accounts for the switch? Deets Lines 568–569 of Hesiod's Wor...

I am flying from US to India by Air Canada. Therefore, i am applying for a transit visa I live in Arizona and there is no VAC here can anyone explain the whole process of applying and submitting passport through mail.

I have implemented in my program Chemcraft the integration with xtb, which is used as an external single point compotator and geometry optimizer (the author of xtb allowed me this). However I found a new problem, when trying to run a relaxed PES scan in xtb. Here is my input file in turbomole for...

Is there a way to test the definition of a command and do, for example, the following (with a correct conditional statement analogous to \ifthenelse): \documentclass{article} \def\Mycommand{\ifthenelse{\equal{\thesection}{\arabic{section}}{foo}{blah}} \begin{document} %The section counter is an a...

In TeX Live 2024, loading xcolor.sty with global option(s) related to driver raises warning(s). For example, the following code \documentclass[dvipdfmx]{article} \usepackage{xcolor} \usepackage{xcolor} \begin{document} Hello, \TeX! \end{document} shows a warning message below. LaTeX: Package "x...

Question: Find the smallest natural number $k$ such that there exist (possibly negative) integers $a_1, a_2, \dots, a_k$ whose eleventh powers add up to $2057$. My thoughts: So I got this question correct that $k = 10$ where $a_1 = 2$ and the rest $a_2 = \dots = a_9 = 1$, the eleventh powers of...

This is a follow-up post to this post where I created three very challenging puzzles. I will post two easier puzzles below. These puzzles that I have created are inspired by the Thinkfun game Pete's Pike. Rules We have only red and blue tokens. The aim is to get the red token to the center of the...

With the passing of ex-president Jimmy Carter, a meme twitter account titled "Did Jimmy Carter Die Today?" erroneously tweeted the usual "No": Somme commenters argued that the post should really have been made at midnight, ensuring complete data about the last day, but this is what happened and ...

Trying to solve this problem. Note that unlike some of its similar variants, this one only cares about the expected heads left after all possible reflips. Consider four fair coins. You flip all four at once and observe the outcomes of the coins. After seeing the outcomes, you may flip any pair o...

Anyone who has studied complex numbers, knows that De Moivre's theorem tells us that $$(\color{red}{\cos}\theta+i\color{blue}{\sin}\theta)^{2025}\equiv\color{red}{\cos}(2025\theta)+i\color{blue}{\sin}(2025\theta)$$ But $$(\color{blue}{\sin}\theta+i\color{red}{\cos}\theta)^{2025}\equiv\color{blue}...

The party is about to start my own 5e conversion of the classic 1e module Q1: Queen of the Demonweb Pits. I am considering converting one particular NPC, as a War Priest (from the Monsters of the Multiverse version, not the Volo's Guide to Monsters version). We play through Roll20, and I have pu...

What was the movie where a football teenager was trying to get out of the pink slime in the doctor's office, but dissolving?

Please correct me if I am wrong, but from my understanding, Dispensationalism suggests that there is a distinct and sharp contrast between Israel and the Church. It holds to the notion that God has a separate plan and purpose for each throughout redemptive history, even into the eschatological fu...

We know that single electrons undergo Lorentz contraction as their fields change in different frames as if a spherical distribution of charge was contracted to be an ellipsoid. However, since electrons are point particles how can they be contracted? They wouldn't have any volume inside themselves...

I am designing a two-player TCG, and currently have the players auction cards from their respective decks to determine who goes first (so if Player A bids 20 and Player B is not willing to bid 21, then Player A removes 20 cards from her shuffled deck before drawing and goes [or chooses who goes] ...

We were using the graphical setup package for Sitecore 10.2 installation. We would like use the locally downloaded SOLR packages instead of download from online during installation. Because download access blocked in our network. Please suggest solutions if possible.

OS: Linux Mint 22 Cinnamon. My computer has 2 internal drives both formatted as ext4: 500 GB SSD 4 TB HDD Output of sudo blkid: /dev/nvme0n1p1: UUID="7700-D60B" BLOCK_SIZE="512" TYPE="vfat" PARTLABEL="EFI System Partition" PARTUUID="eaf9f70c-5c53-4912-9bee-71026adf08aa" /dev/nvme0n1p2: UUID="89...

I'm starting a vegetable garden this spring with ±50m² effective surface area, and I'm wondering whether it would be useful to use soil blocks to reduce plastic usage. However, in my planning I will be sowing seeds every week from the beginning of February until the end of May, in small amounts a...

Let $A$ be the $n \times n$ matrix with all diagonal entries equal to 1 except in the last column and all entries in the last column equal to -1 and all other entries equal to 0. Let $B$ be the $n \times n$ matrix corresponding to the permutation sending $i$ to $i+1$ (and $n$ to $1$). For example...

One can vertically adjust the position of the sidenotes with its optional arguments. \sidenote[][2cm]{content}. Now this is fine with the sidenote is in the middle of the textblock. But when the note is near the top/bottom margin it may overflow from the textblock. One can always manually adjust...

Trying to answer this question in Mathematics Stack Exchange, I made the conjecture that for any $a>1$ $$\underset{n\to \infty }{\text{limit}}\Bigg(A_n(a)=\frac{\sum _{k=1}^{n } \left(a^k \tan^{-1}(k)+(a+1)^k\right)} {\sum _{k=1}^{n } (a+1)^k \tan ^{-1}(k)}\Bigg)=\frac 2\pi$$ and that $$\underset...

These puzzles that I have created are inspired by the Thinkfun game Pete's Pike. Rules We have only red and blue tokens. The aim is to get the red token to the center of the board. Tokens may only move vertically or horizontally. Each move, tokens may only move toward another token in the same r...

The circuit in the first current diagram is not functioning. Which connection among the following should be removed: 1 to 2, 2 to 3, 3 to 4, 3 to 6, 4 to 5, 5 to 6, or 6 to 1, to make the circuit operate as a voltage doubler and half-wave rectifier? The answer is the segment 1 to 6 (second pictu...

I recently used IBM Quantum Composer to try out a few quantum circuits. It's good but its bit order is LSB to MSB from top to bottom. This is opposite to the bit order that many QC texts use: MSB to LSB from top to bottom. Is there a way to change the bit order of IBM Quantum Composer to MSB to L...

I'd like to modify enclosed material to look more like the screenshots on the right side. I would be grateful for some tips. File: Cheers, Mike

I am using colemak with capslock remapped to backspace. I've been trying a remapping of capslock to escape by setting XKBOPTIONS="caps:escape" in /etc/default/keyboard. Now I want to switch back. I have tried everything from setting it back to an empty string, settings XKBOPTIONS="caps:backspace"...

C++23 allows to define a lambda as static. i.e. If a lambda captures nothing, then it can be defined as static: // with superfluous argument `this`, less efficient. auto fn1 = [](int a, int b) { return a + b; }; // no argument `this`, more efficient! auto fn2 = [](int a, int b) static { return ...

I'd like to draw multiple dashed lines to visual the slope of a line. I'm not yet familiar with foreach, but I think this should somehow work. The code below gives the following error: ! Undefined control sequence. \x , \y l.14 \end{axis} What goes wrong? And how to fix it? \documentclass{beam...

A bit of a soft question. Did past mathematicians ever reveal what feelings they felt as they did a massive computation by hand? Did they hate it? Did they wish that they didn't have to? Might they have even loved it? Did any of them see computers rise and rise, and regret spending time on tedi...

I want to know how to create clues in my story. I've already researched but I really couldn't find it. I don't know what clues to create that connect to what I want the character to find, as an artifact for example. I don't know what clues to give my character, I don't know how to create clues. C...

Ubuntu 22.04 I have 2 interfaces: eth0 and tap0 and have the following network: host1 <-- eth0 --> router <-- tap0 --> host2 I send the following packet: IPv6(dst="top0's host2 address", srs="eth0's host1 address") The problem is even disabling all intrefaces forwarding config on the router as ...

Background on my situation: Near the end of my PhD, I want to leave the program, take my work with me, and my advisor says that he lost all of my drafts Situation Summary & Update: I am a graduate student about to defend my work publicly. Throughout my PhD, my advisor has been neglectful, and I h...

Actually while heating water in a kettle I have seen many bubbles forming at the base of it. And I used to think that the vapour we see coming out is carried by those bubbles from the bulk to the water surface. But recently I noticed that when I have a cup of hot water (hotter than that in the ke...

I am experiencing a weird workflow hiccup where latexmk will always blindly follow the Package biblatex Warning: Please rerun LaTeX. and throw LaTeX Warning: There were undefined references. in spite of the fact that in reality, all the references are well-defined. A similar behaviour is observed...

This Snopes article on a photo of a "sidecar cell" quotes a 1924 document that talks about "tag tearing traffic law violators" and "'tag tearing' motorists" in conjunction with speeding and parking violations. It might be tied to the description of them as "transient motorists". SIDE CAR JAIL IN...

I'm using tabularray to make a table but the first row does not start at 1. Look the code: \documentclass[12pt]{article} \usepackage[ a4paper,% papel A4 left=0.5cm,% margem esquerda right=0.5cm,% margem direita top=0.5cm,% margem superior bottom=0.5cm, % margem inferior in...

With the following structure, I turned on Y-sort for everything, but it doesn't work as expected (the player can't stand in front of the tree). I'm using Godot v4.3. Node tree Standing front: Not work Standing behind: work Player Node2D(Root) NatureTileMapLayer Collision...

I'm on quite a large project where we want to move to scratch orgs. During the first deployment to the new scrtatch org, I have a lot of errors regarding "Dependent class is invalid and needs recompilation". Is there any way to bypass this for all classes? Deploying single classes in my case is u...

Assume we have sets $A$ and $B$ as well as a well-defined rule assigning to each $x\in A$ a unique $y\in B$. This rule then defines a unique function $f:A\rightarrow B$. Is it possible to extend this notion to other categories? Take for example $\mathbf{Set}$ itself. Let $A,B\in\mathrm{ob}(\mathb...

Note: I will use FV abbreviation for first-visit and EV for every-visit. I am reading the famous Barto Sutton Reinforcement Learning book (second edition), and after reading the following exercise, I stumbled upon a thought I can't seem to find a satisfactory answer to: Exercise 5.5 Consider an ...

Having a big ELO doesn't make you invincible. I myself played a tournament game with someone from our club about 1000 ELO points down (and should have lost, he happily took the draw offer). This difference is already almost 50% of the ELO span of rated players. So, can you up "1000" with a "real"...

For members of The Church of Jesus Christ of Latter-day Saints: Is Jesus a created being? What is the official church doctrine in relation to this? John 1:3 states "All things were made through him, and without him was not any thing made that was made." In light of this verse, what would be the L...