I'm learning about topos theory and its many uses in (intuitionistic) logic. The definition of an elementary topos $\mathbf{C}$ requires the category to have exponentiation, that is, given $\mathbf{C}$-objects $A$ and $B$, there exists another $\mathbf{C}$-object $B^A$ which is "the object of all...

I've recently come across an advertisement online of a product that stated "Most people have heard of the horror of [bad thing] or even [worse thing]. Protect yourself with [our product] today!" A layman would interpret this as "Our product protects you against these things", although there has...

All the other questions I have seen here focus on the security implications of IP addresses. I'm interested about the privacy implications. In my opinion, static IP addresses for home connections (where you usually don't need to host any services) should be avoided, because they will make you eas...

It seems that most of the modern radio astronomy instruments and observation that make the news are interferometers or phased array systems of one kind of another. Is there any application left for which a single huge dish is better (or cheaper) than the same collecting surface in the form of som...

When a character does something suddenly, how can I show this instead of just telling the reader they did it "without thinking"? Like: "Without thinking, I jumped."

Today my wife gave me a little box of solar-powered Christmas tree lights. She bought them last year 2019 but had forgotten she had them so it was only today (a year later) that I took them out of the box. These lights consist of a small solar panel wired to a rechargeable solar battery and an ...

Recently on Reddit I have been seeing a lot of sculk mines. They appear to be pretty easy to make once you have the necessary parts, so I decided to make some. I have come across a bit of a problem. In the videos showing how to build these, they have multiple TNT minecarts on the same segment of ...

Is there any difference between 「お昼前」 and 「午前」 in both meanings and the circumstances used? The same question for 「お昼過ぎ」 and 「午後」. Thanks in advance.

In Tasha's Cauldron of Everything pg. 135 it's presented a magic item called Spellwrought Tattoo, which allows the bearer of the tattoo to cast the spell contained in the tattoo without providing material components. According to the spellwrought rarity table, a 3rd level spell tattoo would be an...

I know that the Shimano free hub is pretty common. I think it's called HyperGlide (HG). But now I heard that SRAM has a free hub called XD. What is this? What is the difference? When do I need it? Can I replace a HG free hub with a XD free hub? I also heard that Shimano introduced a free hub call...

I know many (not all) violinists place a small pad or a short piece of tubing around the E-string at the bridge contact point. Some bridges have a tiny insert there, presumably of a very hard wood, to reduce the rate at which the string cuts into the bridge. Does use of a pad significantly mute ...

This question is based on code that I found that monitors possible memory leaks, so it contains some code that you probably don't want to see in regular programs like ordering pointers. However, I saw that a pointer was set to nullptr and then the pointer was compared to a maximum address. Is it ...

In the Brexit negotiations there have been various pledges and demands that the final agreement will "not compromise [UK] sovereignty". E.g: Brexit fishing fury: Boris warned fishing compromise is step to forfeiting UK sovereignty Rob Butler, who represents Aylesbury, said the UK should not sig...

A geostationary equatorial orbit (GEO) is a circular geosynchronous orbit in the plane of the Earth's equator with a radius of approximately 42,164 km (26,199 mi) (measured from the center of the Earth). A satellite in such an orbit is at an altitude of approximately 35,786 km (22,236 mi) above m...

A Washington Post article says: 2020 has been a year like no other for travel complaints. Air travelers deluged the U.S. Department of Transportation (DOT) with grievances, mostly related to refunds during the pandemic. From January to August, the DOT received 95,213 complaints, the highest numb...

In the same paper where Milnor introduced the concept of microbundles, he gave the following definition. $M$ has a microbundle neighborhood in $N$ if there is a neighborhood $U$ of $M$ in $N$ and a retraction $r: U \to M$ so that $(M, U, i, r)$ is a microbundle (where here $i$ is the inclusion m...

Is it possible to build a bicycle wheel using a different spoke type for each side of the wheel? I am having some issues sourcing spokes, but I have found one set of DT Swiss Competition and one set of DT Swiss Revolution spokes in the correct lengths, and I was wondering if it was possible to mi...

I have a 22 kHz mono audio recording, which is mainly speech, a reading. I would like to upsample somehow to 44 kHz, to improve the audible quality. I have read about there are AI methods for upsampling pictures, even videos to a higher resolution. Maybe there is some similar methods for audio to...

I made a terrible mistake: while debugging a server, I ran sudo apt-get -y remove libpng16-16 libglib2.0-0 locally, and it uninstalled just about everything including netplan and GNOME. I restarted the computer, logged in on via commandline and attempted to install GNOME, but it won't seem to con...

This last American election gave me the impression that Texas voters were awfully close to electing a liberal, which is something to me that would be incredible. Apparently Biden got 46% of the vote which seems a stellar performance in Texas. So my question is, have Texas voters ever selected a D...

I just accidentally did f], how do I return the cursor to where it previously was? Ctrl-O doesn't work of course because f is not regarded as a jump. , doesn't work because I wasn't on a ] previously.

I have a Gerber toilet, and the toilet lists two flush modes. Do I need to install something to use that alternate flush mode? The toilet handle seems to have only one action.

In Tasha's Cauldron of Everything, the Magic Tattoo is introduced as a type of magic item with a number of different options. Do magic tattoos exist in past editions of D&D? If so, which magic tattoos have direct comparables to the ones in the new sourcebook?

I want a group of freelancers on a spaceship to stop a star from functioning. No government funding and they have to get creative. What would be the cheapest way for them to achieve this? I know we are talking about a STAR and I could just throw a black hole or another star nearby or whatever, bu...

An anti-star is a star that produces energy via antimatter annihilation. As annihilation is 100% efficient at turning matter into energy, an anti-star the mass of the Sun produces 100 times as much energy. The energy produced by annihilation in its core helps prolong its lifespan. The sun has bur...

From what I've read, the Gate spell can be cast instantly and lasts up to 1 minute. However, I can't seem to find if there's a limit to the number of times it can be cast. Can it be recast immediately after the previous one has closed? Could multiple gates be cast simultaneously?

My father says that if I need more money, I can withold less on my W2 (which won't result in the same oh here's $3,000 come tax return time), but will give us access to more money. So how do I know how much I can withold without witholding too much?

I have to use the \documentclass[<options>]{cas-dc} , and also I have used the following packages in my document in Latex. The default style of the summation symbol in the document class cas-dc is: How can I change it to the following style? \documentclass[a4paper,fleqn]{cas-dc} \usepackage{lip...

So in many sci-fi franchises, there are these things called "grav-lifts" that supposedly cancel the pull of gravity of whatever they are placed on the bottom of. So is this possible? I understand that we don't have gravity manipulating devices, but in theory, would such a device be possible? If n...

I have been rereading a fascinating discussion about why DEC replaced VAX with Alpha based on talks with people who were there at the time; in a nutshell, in the opinion of the VAX engineers, it was no longer feasible to make VAX performance-competitive with RISC. I'm not so clear about why it wa...

I want to draw the following in TikZ: However, I'm not sure how I can draw all the arrows, and position the math equations in the places that they are shown. I have the following nodes (I used "duck" node in place of the rectangles between the nodes just for simplicity). \documentclass{beamer} \...

This should be simple, but I have been at it for over 12 hours and am no further forward. The SSD on my laptop just died. It contains my Windows 10 paritions. I have: a 10 year old laptop, also with Windows 10 (home edition), but only 4gB RAM, which makes everything I try excruciatingly slow an ...

You fed me inedible objects for... reasons. You made me spit out the objects too. You fed my grandpa with chunks. You fed me with slices. Why did you feed us, and what did you feed us?

I have wondered for a long time if Stan Lee made a cameo appearance in the 1980 movie Superman 2. I believe he is in the second diner scene of the movie and is the truck driver who is wearing sunglasses. He is sitting at the long front table in the diner watching Superman get his revenge against ...

James Kirk defeated the M5 and Vaal computers. He even defeated the zenith of all computers, V-GER. How many computers has he defeated?

I have a dataset with over 1000s points. I am wondering if I am able to give each point a unique ID starting from west to east. I have attached a picture as an example. I am using ArcMap 10.6. Is there a way to do this in ArcMap? Here is my attribute table:

Sorry if this question is opinion based, however I think it can be meaningfully discussed. I am researching the Berlin Defense and am reading contradictory opinions on how much concrete knowledge is required to play it. Some people claim that It requires very little knowledge of variations and o...

What's my best option for running electric and ethernet to my desk in the basement without having the desk against a wall? My ceiling is a bit low (79") so I don't want to do anything that significantly raises the floor and I worry about the possibility of water if the sump pump goes out in the m...

Near the beginning of Star Wars: The Force Awakens when Rey and Finn meet for the first time, Finn claims that BB-8 supposedly has a map to Luke Skywalker and Rey responds by saying that she thought he was a myth. The time difference between Episode VI and VII is only thirty years, so, why/how wo...

I'm trying to solve it. Whatever it is, it's been out of my (very basic) understanding level thus far. Hahaha I have sheets and sheets of paper trying to work it out. I dunno if it helps, but it's an optimization problem, I'm trying to work out for a piece of software I'm writing. The 'original'...

The Problem: You receive a (section of) a Conway's Game of Life grid. Your task is to output whether it represents a still-life (subsequent generations are identical to the current grid), a oscillator of period up to 4 (every nth generation is identical to the current grid), or something else. T...

Claire, Katia and Lila like to have dinner together. Each of them always orders either coffee or tea after dinner. If Claire orders coffee, then Katia orders the drink that Lila orders. If Katia orders coffee, then Claire orders the drink that Lila doesn't order. If Lila orders tea, then Clai...

I'm updating data using execute anonymous (one-time update). The business wants me to replace date fields with picklist fields under a custom object called Category. The new picklist field should contain the month from the date field. For instance, the example below. Start Date Old is the date ...

I have just got the expansion pass for Crown Tundra, and am wondering if it's possible to trade master balls to my main game in order to guarantee I catch legendary pokémon on the Dynamax Adventures. If I play through the main story on my second cartridge up until I get the master ball, can I tra...

A connected Riemannian manifold $(M,g)$ is said to be extendible if it is isometric to a proper open subset of a larger connected Riemannian manifold (this is the definition given in Lee's Introduction to Riemannian manifolds). I was able to show that a complete Riemannian manifold is nonextendib...

My spouse applied to a position at the company I work at, albeit in a completely different department. I anticipate since I was listed as a referral that I might be asked about him, but we have different last names. Should I disclose that he is my spouse or instead focus on times we have worked t...

Why is "issued" the answer to "Fire corners if one-a-side matches haven't begun"? This was published in the NZ Herald cryptic crossword on 8th December 2020.

People seem to be using "native segwit" and "bech32" interchangeably. Are they really the same thing?

In August 2011, my sister and I went to a restaurant in the Champs Elisées. I'm trying to identify which one. I have some shaky video and this photo. On the back of the menu, it looks like it is a list of addresses, hopefully other locations this restaurant was at. I've been in Google Maps going...

George Stephanopoulos: Do you think he's misunderstood? Patrice Comey: Probably by some people. I think there's a great medal of people that, you know, see us all as Americans... (source:YouTube) I can't make sense of "a great medal (or metal/mettle) of people". It seems she is trying to say "a...

I have found that for solving problems with ideal op-amps, you need two rules: The potential at A is the same as that at B No current flows into or out of A or B I have also come across a third rule: No current flows into or out of C I know this obviously not how an op-amp works in reality, ...

I can't figure out a valid circuit for the following conditions: I have an input signal varying from 0 V to 3 V. My ADC's voltage reference is 2.048 V. I only care about the input voltage starting from 0.768 V and ending at 2.048 V + 0.768 V. So 0.768 V at the input (and bellow, since I have no n...

I ordered a chair from a store here in town. Delivery estimate according to the receipt is 10-12 weeks. The receipt says if I cancel the order I have to pay a 25% restocking fee. Twelve weeks has come and gone and the store doesn't know when the chair will arrive. Since 10-12 weeks is an estim...

Let $(x_n)$ be a sequence with $x_1=1 $ and $x_{n+1}=x_n+\frac{1}{x_n^2}$ for all integers n. I want to formally prove that this sequence is not limited. I started with showing that $x_n$ is strictly monotonically increasing because: $x_{n+1}-x_n=\frac{1}{x_n^2} > 0$ Now I want to show that for a...

Just received from Amazon, assembled, and successfully used the following: Folding Exercise Bike with 10-Level Adjustable Magnetic Resistance | Upright and Recumbent Foldable Stationary Bike is the Perfect Workout Bike for Home Use for Men, Women, and Seniors (Black) I am a senior that wants to ...

In a fighter aircraft, if the checklist says turn on the radar then turn on the Heads Down Display, and the pilot turns on the HDD first would he be reprimanded for that if it makes no difference? Is there any leeway in checklist order or are you expected to follow it to the letter? Does it just ...

In the group stage of the World Cup, teams compete within eight groups of four teams each. Each group plays a round-robin tournament, in which each team plays three matches, one against each other team in the same group. This means that a total of six matches are played within a group. Points a...

I'm trying to understand the greek of Philippians 3:9 and here Paul uses this lone accusative article over and over. Can you help me understand what this means? καὶ εὑρεθῶ ἐν αὐτῷ μὴ ἔχων ἐμὴν δικαιοσύνην τὴν ἐκ νόμου ἀλλὰ τὴν διὰ πίστεως Χριστοῦ τὴν ἐκ θεοῦ δικαιοσύνην ἐπὶ τῇ πίστει It seems ...

We all know about Linear Warriors, Quadratic Wizards: while non-magical fighters get better at hitting things with swords, magic-users learn how blow stuff up, kill enemies outright, warp reality itself, etc. So in a high-magic setting, why are wars still fought with non-magical troops? A single ...

Saw a TV episode / movie in the 90s with this plot. Can anyone remember the name of this movie / TV show?

I have the following code: Table[{a, b}, {a, 0, 2}, {b, 10, 12}] which gives me the following output: {{{0, 10}, {0, 11}, {0, 12}}, {{1, 10}, {1, 11}, {1, 12}}, {{2, 10}, {2, 11}, {2, 12}}} What I want is by using Table to generate an output where value of a and b start at the same time such as ...

so I have my "brand" logo here, in a square, it looks perfectly fine, or at least pretty fine. But, if I put it into a circle, it looks very off-center due to the U having a sharp edge, and the D having a rounded edge. Is there anyway I can make it look on-center, or a good way to try to find o...

i'm trying to run this as a standalone project in overleaf but it does not run to generate a graph like this. Could anyone help with this? \documentclass{standalone} \usepackage[utf8]{inputenc} \usepackage{fourier, cabin} \usepackage{pstricks-add, pst-eucl} \usepackage{auto-pst-pdf} \begin{docu...

This is an online question on the Certified Scrum Master (CSM) v7.0 (CSM-001). However, I don't understand why the answer is A instead of D. You are the Scrum Master. The Sprint will complete in two days. Each day of the Sprint is equivalent to 8hours. The team has just enough time to complete a...

In this dataset I have created the green dots represent coyote sightings while the yellow dots represent rabbit sightings. I am trying to determine if coyotes and rabbits are randomly distributed or if there is a relationship between coyote habitat and the proximity of rabbit habitat. I created a...

In chapter 8 of Pride and Prejudice by Jane Austen, Mr. Darcy says, "[T]here is a meanness in all the arts which ladies sometimes condescend to employ for captivation. Whatever bears affinity to cunning is despicable." What does Mr. Darcy mean by this?

I came into LaTeX in the 80s and my copy of LaTeX: A Document Preparation System already described LaTeX 2.09. I'm curious if anyone here knows about the versions of LaTeX that preceded that. What changed between LaTeX 1.x and LaTeX 2.0, or between 2.0 and 2.09? I suspect that much of this knowle...

Can someone please derive how $$\frac{d}{dx} f(x-x') = -\frac{d}{dx'} f(x-x')~?$$ In Griffiths electrodynamics, this is directly mentioned. I'm really confused, can someone elaborate!

Romans 6:6 knowing this, that our old man was crucified with him, that the body of sin might be done away with, so that we would no longer be in bondage to sin Is this the past history of our former selves, before we were born again? What is its relationship with the "body of sin" in the above ...

I have made this circuit a handful of times in real life and it is giving me a positive cycle waveform. Why is it not working now? The input is taken from the IP Test point and ground and output is taken across output load resistor and ground. The second image is the reference transformer with I...

I know Bitcoin Core downloads and processes the full chain much quicker now than it used to but what exactly is so bad about downloading a compressed blocks, chainstate and database folder? As soon as Bitcoin Core starts up if there are any changes made the new blocks will be rejected no?

I'm new to code golf challenges. My problem came up in Advent of Code 2020 Day 8 The input is an array of arrays. In part two of the problem one needs to run several trials to produce a result by changing an element in the input array. My current code is this (comments added to explain what's goi...

I am a 14 year old boy and I think my voice is changing. Last year I used to nail notes from D4-G5 in my chest voice and I was always taking the high octave (even with the girls singing) but over the last month, anything above a C5 is starting to become pretty tiring for my voice. What should I d...

The axis of rotation of the Solar System makes a large angle of about 60 degrees relative to the axis of rotation of the Milky Way. That seems unusual - for example, most of the bodies within the Solar Sytem are better behaved than that. Do most stars or planetary systems in the Milky Way rot...

Question: Given the point (a, b) in the first quadrant, find the downward-opening parabola that passed through the point (a, b) and the origin such that the area under the parabola is a minimum. I've tried to solve it. But the answer can't be right, since it leads to a upward-opening parabola. ...

When simulating a quantum circuit using qiskit qasm_simulator, the qubits that you assigned to the quantum circuit can be connected to all other qubits, or say, if there are $n$ qubits in the quantum circuit, for a single qubit it can interact with all other $n-1$ qubits. This is quite an unpract...

Usually Chinese words are not made up of random characters, but instead have some kind of underlying logic. Moreover, understanding this logic makes it easier to remember and use the word. However, one common-ish (HSK5-level) word causes me issues: 从事 (cóng​shì) CC-CEDICT: to go for / to engag...

Ever since the pandemic began the employees have been referring far more candidates than usual but the quality has declined. We are getting far more junk quality referrals like random new grads from India, their unemployed inlaws (and unemployed people in general), grocery store cashiers for engi...

Why weren't Tzaddok and Baytos, fathers of the Tz'ddokim and Baytosim, put to death as z'kenim mamrim?

i make a 3 pump for output and im using millis for it, i want to stop if rach the intervalm now in my code its still looping not realy stop for it thx int pump1 = 5;//pin D5 int pump2 = 6;//pin D6 int pump3 = 7;//pin D7 float pompa1; float pompa2; float pompa3; unsigned long prev_pump1 = 0; un...

There is a famous classical geometry puzzle about the angles formed by integer coordinates: What is the sum of angle A and B in the following image? Do not use any advanced mathematics such as trigonometric formulas or complex numbers. with an elegant answer using pure geometry (spoiler-ed for...

Max's Dad Kevin loves puzzles. He has a gift for his son but wants him to guess when he will give him the gift. Kevin leaves some messages. Could you help Max in finding when he would receive his gift? Message 1 Message 2 Message 3

I would like to write a sentence like: His support gave me strength and inspiration to continue my campaign without wavering. But then I started wondering if I should not add the before strength. His support gave me the strength and inspiration to continue my campaign without wavering. Both s...