Given a morphism of spaces $f: T\to S$, and a diagram indexed by $T$ in $Cat_{(\infty,1)}$, $F: S\to Cat_{(\infty,1)}$, by pre-composition $T\to S\to Cat_{(\infty,1)}$, we get a new diagram $Ff: T\to Cat_{(\infty,1)}$. By taking the colimits, we have a morphism colim$_{\xi\in T} F(f(\xi))\to $co...

Let a point charge $+q$ be moving with constant velocity $\boldsymbol v$. At some moment, its position vector with respect to the origin is $\boldsymbol x$. We need to find the magnetic flux density $\boldsymbol B$ at the origin. If we apply Biot-Savart law, $$\operatorname d\boldsymbol B=\frac{\...

Hebrews 10:22 ESV "Let us draw near with a true heart in full assurance of faith, with our hearts sprinkled clean from an evil conscience and our bodies washed with pure water." [My emphasis]. Is "full assurance" a way of describing "faith", i.e., anything less than "full assurance" is not "faith

First source: https://dornsife.usc.edu/news/stories/what-is-a-miracle/ More than medicine The word is used widely in nonreligious ways. However, the Catechism of the Catholic Church, which sums up the church’s teachings, defines it as “a sign or wonder such as a healing, or control of nature, wh...

I would like to add a custom action for a particular entity (from a contrib module). This module show the list of entities on admin part with a view, that use the "actions link" to show standard actions like "edit" and "delete". My goal is to add a new entry to this dropdown list with a specific ...

I want to calculate the expected number of die rolls necessary to roll a specific number M times using a N sided die, with a given confidence. I know this is related to the Coupon collector's problem, but all related answers are concerning the probabilities of rolling any M numbers, not a specifi...

I need to replace the front door on my 1960's brick ranch house. Lowe’s measured and the door jamb is 5 3/4 therefore the $450 stock door I had chosen will not work. Quote for custom door is $1,680. Installation labor and materials quote by Lowe’s contractor is $1,200. Grand total of $2,880 fo...

On season 9 of Last Man Standing, Mike Baxter (Tim Allen) meets Allen's previous sitcom character, Tim Taylor. Having them on-screen talking with each other is no big deal; we've seen TV and movies pull that trick off for decades now using a split-screen, but I don't think I've ever seen two vers...

There are some new security companies selling what they call "enterprise browsers". For instance, Island (https://www.island.io/blog/what-is-an-enterprise-browser) is one of them. Both Microsoft and Google also have enterprise versions of their browsers. They claim they can enforce things like pr...

I'm currently writing a post-apocalyptic story set in modern times—the 21st century. 10 years ago, a calamity I've yet to name (let's call it The Darkness for now) appeared in response to the collective despair of humanity and has been ravaging the world ever since. The Darkness is a unique subst...

Has deep learning discovered any heretofore unknown algorithms? Goodfellow et al. give an example of learning XOR, and the Universal Approximation Theorem seems to imply that deep learning might be able to represent any algorithm (or Turing machine?).

I have some cards of feathers with transparency on EEVEE, and I want to set parent to the rig of a bird with rigify but it says "failed to find solutions for one or more bones". I know that this is because the mesh is separate in cards, but I want to know if there is some way I can parent the car...

I'm attempting to reverse engineer a window curtain motor board. I'm very much a electronics beginner. The board has two ICs marked "7E" (labeled Q3 and Q4) that I'm unable to determine was it is. This absolutely tiny 6-pin IC (looks to be SOT−363?) is connected to the gates of the 4 P/N-Channel ...

Let's say I have four arguments around the same subject matter: A) Affirming the Antecedent (valid) If it is raining then I will get wet It is raining Therefore I am wet B) Denying the Consequent (Valid) If it is raining, then I will get wet I am not wet Therefore, it is not raining C) Af...

I have created Int128 which is based off of BigInteger with operator overloading to handle larger math requirements. Here is a look at my Int128 implementation. /// <summary> /// Creates a new <see cref="Int128"/> /// </summary> public readonly struct Int128(long high, ulong low) : ICompara...

Livy mentions once a city in Hispania, Atanagrum : 21.61 No other author wrote about it. In 19th century dictionaries it appears as Athanagia: L&S DGRG. What is the basis of this lemmatization? I (read chatgpt) gather that it appears in the accusative, in aposition with "urbem". But -rum/-arum is...

If you use two torches, one with a red filter/gel attached and one with a green, you can combine the projected light to create yellow, but why then can you not use both filters on a single torch to generate the same result?

I am using ESP32-S3 for sending I2S signals to an external class D amplifier (MAX98357a) that takes in PCM data input and outputs the amplified signal into a speaker. Which then with the help of his speaker coils "filters" out or converts the digital signal and makes sound. Now, i want to send tw...

I am trying to align (perfectly and properly) a TIFF file with either Google's map or the OpenStreetMap (or any other, if there are any decent ones). I have tried so many different version, some simple, some very complex. But none fully align. This is the closest I have gotten: import rasterio fr...

Context for the question: I am studying Legendre transforms in statistical mechanics. I have read that the Legendre transform allows us to transform between conjugate variables in expressions. For example, if I begin with $E(S,V,N)$, a Legendre transform can get me to $E(T,V,N)$. The confusion co...

I'm looking to develop a standalone project using the STM32F103C8T6 which connects to a laptop through the USB. I'm using the STM32 cube and a dev board for the s/w which looks ok; in terms of software I've followed https://controllerstech.com/send-and-receive-data-to-pc-without-uart-stm32-usb-co...

I am running Ubuntu 24.10 on my Surface Go 3 (2013). Scrolling up and down with the mouse works in the Settings app, but not in any web browsers. I have tested several browsers and different mice, including my touchpad. Are there any fixes? It's driving me mad to have to manually click and drag t...

I'm trying to identify a The Tracey Ullman Show episode where Tracey Ullman applies for a job playing Peter Pan. She reveals that she has a comic book super power: she can really fly. For some trivial reason, she doesn't get the job. I believe she ends up lifting logs out of the Oregon forest. Th...

As a kid I remember watching a space (horror?) movie that had astronauts with skulls as their heads. The astronauts had a blue or red glow inside the helmet which showed their skull head. I vaguely remember the skull astronauts trying and succeeding in turning the normal human crew into more of t...

I know laws against price fixing apply to large corporations and small businesses alike. However, do such laws also apply to individuals? For example, let's say I am selling cookies on Etsy and find two other local Etsy sellers who also have cookies for sale. I reach out to them to set up an agre...

How to edit this shape to be similar as in the picture? I mean some wavy design, the top part of the page in filled with colour and the wave is deeper on the right side. The right side is fine now, but I do not know how to make the wave to go smoothly up. \documentclass[10.5pt,a4paper]{report} \u...

I am wondering if one can obtain the cycle graph $C_6$ given the degree sequence $D = (2,2,2,2,2,2)$ using the bottom-up construction resulting from the recursive sequences in the Havel-Hakimi algorithm. I believe that this isn't possible, because the recursive sequences obtained from the algorit...

I was making a galaxy in Blender version 2.91, but I knew if I get the nodes to Blender version 4.2 it wont work, as I used MixRGBs and the Emission from the Principled BSDF and more. Does anyone know how to convert them if it's possible?

I'm a postdoc supervising a Master's student on a project involving the analysis of ~20 large datasets. The student did a fantastic job processing and reducing the data, generating high-quality visualizations and movies. The techniques used weren't novel but required considerable effort and adapt...

I'm in the UK, and I just ordered a new tyre (tire) to be fitted. The receipt says "as a reminder, wheel torque settings MUST be checked within 50 miles of wheels being fitted". I've never heard of this before. When a mobile fitter replaced my tyres a few years ago, they didn't ask me to drive ar...

I read this short fiction at least 40 years ago, probably in a collection. Not a novel, possibly a novelette, but probably a bit too long to qualify as a "short story". In this dystopia, long distance car races are organised. The winner (or maybe also a few of the best competitors) is (are) award...

I know Harrington is quite famous for unpublished works in computability theory and a friend of mine specializing in set theory says Woodin is also quite similar which led me to the following question: What are some of the most important/interesting works that were never published by the authors?

Romans 10:9-11 (KJV) 9 That if thou shalt confess with thy mouth the Lord Jesus, and shalt believe in thine heart that God hath raised him from the dead, thou shalt be saved. 10 For with the heart man believeth unto righteousness; and with the mouth confession is made unto salvation. 11 For the ...

I know that the inverse of sine is used to find angle measures x when given a sine ratio (opposite/hypotenuse). However, my question is more conceptual. I understand how one can use the inverse sine function, or inverse cosine or inverse tangent, to find a missing angle, but I don't know exactly ...

On Sequoia 15.0.1 System settings says the update to version 15.3 is 15.22 GB in size. I assume that's the download size. That's a lot for an update, so I looked up how much the standalone installer for the same version would use, and it's also 15.2 GB. What I expected to be an incremental update...

I have this well stocked pantry and have noticed a little bowing toward the center of the shelves. I’m worried that they may eventually collapse. Is this something to be worried about, or is this fine? If they need to be reinforced, what would be the best way to do it? I have a ton of tools, but ...

I read the following sentence from иноСМИ. The sentence is a translation from a news article from NZZ, a German language newspaper. «Вместе с доходом жены-учительницы, которая зарабатывает примерно столько же, денег как раз хватает.» The expression „жена-учительница“ is used as substitution for a...

I tried solving the LeetCode question like many others, trying to incorporate the O(n) time complexity requirement. Squares of a Sorted Array Given an integer array nums sorted in non-decreasing order, return an array of the squares of each number sorted in non-decreasing order. Example Input...

I have designed a PCB board using an STM32F407vgt6 MCU and am waiting for it to arrive. I was following a design online and added a switch on BOOT0 to control the logic level but BOOT1 is left floating. According to RM0090 Table 2, the BOOT1 pin is needed to select the MCU's boot modes and since ...

There's a scene in 'The Blacklist' where a character is being interviewed about having been subpoenaed to testify in front of a grand jury. His lawyer quickly jumps in to say that his client will be taking the fifth to every question that is asked. After that, the investigator/prosecutor says "th...

My essay (a paper for a class) deals with the ongoing struggles of a specific community which I happen to interact often with. Many are willing to include their statements in my paper (which would also corroborate it) but in fear of retaliation want to remain anonymous. The obvious issue is that ...

Camera has been setup for projection modelling as per viewports screenshot below, however cannot get perspectives to match

In methylene carbene $(\ce{H2C{\bf{:}}})$, what is the hybridization of the carbon atom, as well as electron distribution in the different orbitals? I think since methylene has 2 hydrogens bonded to a carbon with a 'lone pair,' it should have $\mathrm{sp^2}$ hybridization. Then, does it have an...

The short story "Nameless" by Rema Hmoud is told from the point of view of a pregnant woman surrounded by other women of her family. It's peculiarly unrealistic, with the entire pregnancy seeming to take only a few days, and I suspect it's meant as a satirical allegory about Jordanian society: th...

Apologies if this is off-topic or too subjective, but I'm currently trying to translate and interpret one of my favorite Vocaloid songs, 'Floating Shelter' (Lyrics) by ピノキオピー. Generally, I can assume that the song about hikikomori and one's mental state, but there are some parts within the lyrics...

If our brains are just complex neural networks, trained throughout our lives on borrowed information, why is using AI to generate text considered 'cheating' or fake? Aren't we all just sophisticated AI systems, paraphrasing and remixing what we've learned? Isn't our brain just another neural netw...

I have completed some basic sculpting around the edge of a simplistic pond object mesh using the grab brush with dynotope mode activated and its detailing set to 'relative detail' to try and keep the grid dimensions as uniform as possible. I then highlighted the mesh object that was subjected to ...

In [Weiss][1], Weiss developed the study of context-free manifold calculus, which studies the presheaves over the $\infty$-category of smooth manifold. Conceptually, the study is to approximate presheaf as an amalgamation of its value over the disjoint union of disks with at most $k$ connected co...

Here's a clip from today's newspaper: In response to an anonymous tip, local police, working with officials at Mega Millions, launched an investigation into the jackpot won last month on October 31st. The winner, James Johnson (59) of Chicago, IL, is a close friend of long-time Mega Millions empl...

Do these 33 year olds Marvin windows have rot and is the insulation all over? I am asking you since a window replacement guy suggests us to replace these windows as their life is over. Thanks!

I'm tryng to increase the volume of a background sounds on my video that I'm editing but have to be smoth and little by little but I didnt have any sucess till now. Anyone could help me please? Thank you,

I've tried looking for solutions but didn't find any. I have the following commutative diagram (mwe) \documentclass{article} \usepackage{tikz-cd} \begin{document} \begin{tikzcd} 0 \arrow[hookrightarrow]{r} & A\arrow[hookrightarrow]{r}{\varphi}\arrow[hookrightarrow]{d}{\eta_1} & B\arrow{r}...

I have got a sql server web 2017 running on ubuntu linux (in Google cloud VM) - it's being used by a windows server instance with IIS over the local network on Google cloud VM. Randomly (once every 2-3 weeks), the windows server would lose connectivity to the sql server on linux instance. when I ...

Usually when a server data breach occurs, information that gets leaked includes usernames and password hashes, rarely do you see a data breach where 2FA TOTP seeds gets leaked alongside them. How come this is the case? I thought the server also needs to store the TOTP seeds to calculate the one t...

Bill Paxton was killed in the film franchises for The Terminator, Aliens, and Predator 2 and is, so far as I know the only actor to be killed by all three. That got me thinking. What actor has been killed the most times under the following? Died in a movie by an alien or other fictional being (i...

Jack Harkness, after his first few appearances in Series 1 of the 2005 reboot of Doctor Who, is an immortal character who keeps coming back from death, no matter how many times he's killed. How many times does he actually die, across Doctor Who and Torchwood (and any other shows where his charact...

I'm playing Civilization VII at its default graphical settings and I'm noticing that when there's a unit underneath it, the resource icons appear wavy and seem to follow the unit: What's causing this waviness and how do I fix it?

My neighbor was trying to use his WD drive and it failed to mount to D:\ I connected to my Ubuntu 22.04 laptop: lsblk -o model,name,fstype,size,label,mountpoint1 failed to return any partitions for the USB drive. PNY CS900 2TB SSD sda 1.8T ├─sda1 ...

The situation: There is a Web page and an image from a third party (the image was not created by the owner of the Web page) is included in the Web page among other content. The image was made available under the Creative Commons Attribution-ShareAlike 4.0 International License. The attribution fo...

In simple artificial neural network, using bias or not, the performance is likely the same. So, it makes me wonder that the bias is actually a little form of sentience of AI? Yes, we can blame the overall bias come from the dataset source. But, what I refer is actually bias in hidden layer: $y=wx...

Objective Given two closed surfaces (a.k.a. closed 2-manifolds), decide whether they're homeomorphic. Introduction In layman's terms, a closed surface is a finite-sized shape that resembles a flat plane everywhere (say, when magnified very much). Familiar examples of a closed surface include a sp...

The code below has a normal bright led on the 5th pin of port F while those on port B, 0, 1, 2 are dimmer. Even if you hold down one button and a moment later simultaneously press another button while releasing the prior you see the brightness change. a CMOS inverter is used to debounce all butto...

I have got my Japan tourist visa(I am an Indian) it is valid from Feb 04th 2025 to May 4th 2025 and it says duration of stay is 15 days...What does all of this mean I'm new to all this?...Also my trip is planned from 24th April(arriving into Japan) to May 5th(leaving Japan at 2:00pm)..I submitted...

First of all, this question is different than other similar questions, like this in which the questioner has a problem with the mathematical proof. one property of systems is time variant / time invariant, which basically mentions if a system's behavior changes w/ time, that means same input give...

I have an FPGA that send data from a shared bus(the bus called COM(0:15)), which is connected to three buffers. Each buffer is connected to the same bus, and the FPGA controls which buffer will drive the output signals using the OEn signal( the output signals runs from 0 to 47 and the signals are...

I'm studying this book and in page 788 (827 in the pdf page count) they show a law of motion for a joint probability distribution (image attached). Basically, we have the following elements: a state space $A\times S=\{\bar{a}_1,\dots,\bar{a}_n\}\times\{\bar{s}_1,\dots,\bar{s}_n\},$ and there exis...

I got a used 672c studio light without a power adapter and would like to buy the power connector for it. Please help identify its type, I've never seen anything like this. The diameter is slightly bigger than a standard PS/2 keyboard connector.

So I am coding up a simulation of black body radiation coming from stars, and I want it to look kinda realistic, so I want to add spectral lines. My question then is if my implementation is correct. Currently as I've set it up, the function value at any spectral line is the black body radiance, ...

In all my designs that I need battery monitoring I have used the following circuit (borrow from one of Nordic devkits, however this circuit is from one of my schematics), but I am thinking to use the following circuit (it is also from one of my schematic). Do you notice any preference between on...

I'm currently interested in designing a realistic climate and weather simulation for my game worlds. However, some doubts arise as I attempt to apply the Koppen classification. Suppose there is a region with evenly less than 60 millimeters of rain each month and with monthly temperature all great...

Writing a music for flute & piano, I wrote some fragments like this one for the flute: the tempo is about 𝅘𝅥 = 112-114. I wonder if is it possible to play the accents within the legato. I'm aware it is possible when playing slowly, but given the speed of the 16th tuples I'm not sure if the notat...

Problem: My attempt: At first, I tried to use normal geometry. then, I couldn't solve it. After that, I tried to use coordinate geometry. The equation for the red circle is $x^2+y^2=r^2$. The equation for the green circle is $(x+10)^2+y^2=r^2$. Solving for $x$, we will get $x=-5$. then solving f...

The kings can probably touch, as if you protect the square adjacent to the opponent's king. Your king can go there as capturing it with their king puts them in check due to the defending piece and that means the capture would be illegal, stopping it from being check, but the kings are adjacent, w...

The stress in vous voulez and vous pouvez is definitely on the rightmost syllable (oxytone), in this case the [e] sound. However, I perceive the stress on these words changes to the first syllable when they're used in the question forms voulez-vous and pouvez-vous. Please note the examples on the...

Let $\mathcal{S}$ be an operator system in a unital C*-algebra $\mathcal{A}$. Let $\phi:\mathcal{S}\to\mathbb{C}$ be a state. Some books define a pure state as follows: $\phi$ is pure if and only if it is an extreme point of the positive cone (i.e., $\phi$ can not be written as a convex combina...

Let T be a simple theory. Does thorn forking and (the usual) Shelah forking coincide? If I understand correctly, they do coincide if T is stable. I'm particularly interested in the case when T is both simple and super-rosy of rank 1.

what is this white grainy stuff on top and bottom of my month old repotted hibiscus leaves and i see ant activity although flowers blooming I sprayed a kaka bio stimulant today (its composition Natural lactones: 0.4% Natural alkaloids: 0.2% Aqueous media: 99.4%)..was neem oil a better alternati...

7 years ago, I built this picture and constructed mesh Needs["NDSolve`FEM`"]; reg = ImageMesh[ Image[RegionPlot[ Abs[Nest[(#^2 + x + I y) &, x + I y, 15]] > 2, {x, -2, 1}, {y, -3/2, 3/2}, Frame -> False]]] bmesh = ToBoundaryMesh[reg]; coord = bmesh[[1]]/200; element = bmesh[[3]]; {x...

In every AC plug, there is a "hot" wire and a "neutral" wire. What makes the former the dangerous wire and the neutral one the "0V"/safe one? There are some things confusing me. With AC, voltage and current flips negative/positive every half-cycle, meaning that current will flow OUT of ground. I...

I am studying diodes. I would like to get better at analyzing circuits with diodes. I know there are several models available, from ideal diode model to constant-voltage models and models that include a small resistance. These models are not very accurate, unfortunately. The best model is t...

What teachings do have on how to deal with being a victim? I'm sure we have very rich sources - the more authoritative the better, but don't hesitate to bring a source you find relevant, interesting and useful. The reason I ask is because it seems that there is a voice in the world that wants to...

I'm a bit unsure exactly how to phrase this question, but here goes. I recently received a chromatic accordion as a Christmas gift (C-system on the melody side, stradella system on the bass side), and since I'm somewhat experienced with piano accordions, the thing I want to focus on in particular...

I am requesting quotes for replacing wood sash windows in a UK house (conservation area). My goal is to improve both thermal and acoustic insulation given right now I have single glazing. I have been given quotes for two different types of glasses: Double glazing: 2 sheets of 4mm Clear Pilkingto...

I've encountering an issue with a model of piled rope and hoping someone can help me here. I want to achieve fairly equal spacing on the loops of the rope as it's currently warping the uv mapped image. You can see in the image provided what's currently happening. I found there was an add-on calle...

My Egyptian husband applied for a family visit to Spain. My father provided the invitation letter, the stay and all the costs. We gave his bank statement (with enough money), we provided the stay, etc. All documents they required were there. But yet they denied the visa with the reason “The purpo...

In the given image, you can observe that although the eggplants (brinjals) are abundant, the tree appears to be severely weak. I have applied the following fertilizers: Muriate of Potash Urea DAP (Diammonium Phosphate) Magnesium Sulfate (applied directly to the soil, not sprayed) TSP (Triple Supe...

I'm experimenting with LuaTeX. I wrote a script to number lines, but I don't understand why the boxes are aligned to the left, even though I have an \hss on the left in the box definition. \documentclass{article} \usepackage{lipsum} \usepackage{xcolor} \usepackage{nodetree} \usepackage{luatexbas...

Background Information For the Gamma Function in the real plane, we have the following definition Definition. $\displaystyle \Gamma(x) := \int_0^{\infty} e^{-t} t^{x-1} dt \quad (x>0)$ and from this definition we can derive the functional identity Functional Identity. $\Gamma(x+1) = x \Gamma(x...

We see various Versions presenting 1 Cor 15: 8 in different phraseology, for instance: Douay-Rheims Bible And last of all, he was seen also by me, as by one born out of due time. Catholic Public Domain Version And last of all, he was seen also by me, as if I were someone born at the wrong time...

I was going to replace a relay on an Alesis RA-150 stereo amplifier (a common failure mode) when I noticed some scorched 2W resistors (R401 and R402) and what appears to be an almost burned area of the PCB. While I can replace these, I'm wondering about the function of this area and why it could ...

I'm taking the enjoyable (but very high-level) Wolfram U course in Discrete Mathematics. That course gives the logical operator precedence as ()>\[Not]>\[And]>\[Or]>\[Implies]>\[DoubleLeftRightArrow] but doesn't mention the NAND, NOR, or XOR operators in this context. We are given the exercise t...

Location: 35.748165, -117.024419, source. The runway is immediately apparent on the satellite photos; but everything has decayed so far the closed runway marks cannot be seen. Attempting to land would most likely end in disaster due to the wash cutting across the runway. But the airport has some...

I have read that some stronger systems of modal logic such as system D used in deontic logic uses an axiom D, namely D: □p → ◇p But I do not see why axiom D is not a logically valid statement in the weakest form system K. Suppose the negation is false, In w0, ¬(□p → ◇p) □p ¬◇p □¬p (by double...

Elections in Germany are coming up and after trouble with increasing parliament size the government has changed the election law in 2023 to prevent that from happening. This changed was then amended by the Bundesverfassungsgericht in 2024. I can find a lot of explanations also some official one e...

In Plummer’s 1989 paper Claw-Free Maximal Planar Graphs (Theorem 2.3 (d)), we can see that the Icosahedral graph is the only 5-connected claw-free maximal planar graph. Now, if we remove the maximal condition, is it still possible to find a second 5-connected claw-free planar graph? Further...

In Republic, Plato mentioned arriving to the intelligible realm from the visible realm through philosophical reflection and dialectic, and also above ("I mean what reason itself grasps by the power of dialectical discussion, treating its hypotheses, not as first principles, but as genuine hypothe...