Yet authors crave something deeper. “We shouldn’t have to defend” romance novels, says Sarah MacLean, author of “Knockout”. “Love is a powerful feeling. I wish that we could all see our way past thinking that those emotions are somehow less valuable than emotions that are built out of pain and s...

Is there any verb, or even slang, that can be used in place of "has turned into" when talking specifically about something that has changed for the worse, as in the example below? It's sad to see how a neighborhood that was once so beautiful and well-kept has turned into a decrepit and abandoned ...

Is it correct to use a full infinitive (to do) instead of a bare infinitive (do)? I am an esl Chinese resident. And I read a comment, of which the commentator thinks I am benighted. (But I admit it's somewhat a reckless comment partially due to my nonlearnedness.): History is the past of human k...

I found this text in the book I was reading namely, "And the mountain echoed": They said its eyes shone red. No one knew for sure, you understand, at least no one living: The div ate on the spot those who dared steal so much as a single glance. Knowing this, the villagers wisely kept their eyes ...

For some reason, I am not able to set left alignment in the third column of a table (I can make it only in the first and second columns}. Does anybody know waht is hapenning? Below you find a MWE. Thanks in advance, Marcus. \documentclass [chapterprefix=true,pagesize=false,listof=totoc,bibliograp...

I was working on my hardtail yesterday, and found myself spinning the back wheel on the stand while indexing the gears. I noticed quite a lot of airflow, which was obviously from the the knobbly tread of the tyres - enough of a fan to give a nice cooling breeze. This implies some power being use...

According to Wikipedia, the relativistic Doppler effect is simply the classical Doppler effect for a stationary source, $1-v/c$, times the relativistic time dilation, $1/\sqrt{1-v^2/c^2}$ (where v is relative velocity) which simplifies nicely to $$\sqrt{\frac{1-v/c}{1+v/c}}.$$ It then goes on to ...

Seeking a Purely Formal Power Series Solution When I read about generating functions, I encountered the following problem: Suppose that the set of nonnegative integers is partitioned into a finite number of infinite arithmetical progressions with common differences $ r_1, r_2, \ldots r_n $ and fi...

ESSA, CUES, Advent, Advent X, Acolyte, Sword, and other sub-12-speed low-end groups are all range-impaired compared to what you can get by spending more. Extend it out to 12-speed and there's Eagle SX, which is budget and ticks the box but also barely functions. Does this tendency in market offer...

I am currently using Russian Textbook Mathematical Analysis by Zorich. But the more I use it, the more I feel it is making problems too hard or too advanced for the subject and it is unnecessary. For example, in Zorich's Analysis book, he often asks proof of limited cases from but not limited to:...

This is a follow-up of these two questions about using the TPM to store application's keys. While both have great answers, there is a specific aspect I am missing: How safe are the keys inside the TPM against another (malicious) app trying to impersonate mine in order to use my keys? I understand...

I am curious. Does anyone know a non-hypothetical C or C++ counterexample to the myth that "the impact of the undefined behaviour is limited to code which runs after the line with undefined behaviour"? In other words I want to see an example of undefined behaviour "travelling back in time" and ca...

I recently converted the :highlight commands in my vimrc to a custom colorscheme (named after myself) that selects between two different sets of highlights based on the value of the background option. Following the advice in $VIMRUNTIME/colors/README.txt, I put the following commands at the star...

Is there software that, when the input is the shape of a drum, will produce the corresponding audible sound?

Notice: that question has been answered here, posted to be useful to the general public. I am struggling to write a macro to use in circuitikz to apply the change to arrow tips you can see here (which will be in 3.1.11) to work with older versions of TikZ. I managed to separate the 3 values of th...

I am writing a math book. I have exercises that have questions AND subquestions (for example 1 then 1.a, 1.b, 2 then 2.a, 2.b, 2.c etc.). I also have exercises that have one questions, without subquestions (1, 2, 3,...). I would like to make LaTeX check how many \begin{enumerate}s there are. If t...

What are the commonly available different types of instant coffee, and what's the difference in each of them? I'm currently living somewhere without a way to make coffee, but there's a few dozen options of instant coffee available at the market. The most obvious difference that I can see in the d...

My kitchen sink air admittance valve is leaking, and I'd like to replace it. I've found DIY instructions online to install one in the first place, but not to replace one that's already there. What would I need to do to replace this?

This statement doesn't make sense, it's not a coherent way of talking (stopping to make an exclusion then continuing). Plus it's extremely egotistical & out of character to be proclaiming only a small set are deserving of Christ's love & protection; especially when he's making such a stern warnin...

If we know the combinatorics of a polyhedron, and all but one of its dihedral angles, does that uniquely determine the remaining dihedral angle? I’m happy to assume the polyhedron is simply connected, if that helps. I do not want to assume that it is convex, because the examples I’m interested in...

I want to learn the PLC and its programming, please let me know which language should be used?

In the Civilopedia of Civilization 4 - Fall from heaven 2 there is no entry for the "Azer" Unit. There is however a pretty good knowledge entry on fandom.com that describes the unit's attributes. Can I somehow add the entry to the Civilopedia manually and fill in the gap? the mod "Fall from heaven 2

New Glenn is scheduled to launch the EscaPADE probe to Mars in the September launch window. I've read a lot about ground systems testing and prospective BE-4 static fire tests, but can't find anything concerning in-flight testing or precision landing tests for the first stage. I know Blue Origi...

So, at work we have had an ongoing debate for several months now about whether missiles are aircraft or not. We all agree that they're not airplanes of course, but... are they to be considered aircraft? We cannot find consensus, even after long and hefty debate. The argument for it being an aircr...

I was given the following question : Determine the radius of convergence of the following series : $\displaystyle\sum\limits_{n=1}^{\infty} \frac{(n!)^2}{(2n)!}x^n$ I was able to determine using the Cauchy–Hadamard formula that $R = 4$, but I still need to determine whether the series converges f...

it is possible to estimate mean and SD given the median and IQR? I am involved in a meta-analysis where some trials show outcomes as mean and standard deviation but most show median and inter-quantile range.

I've been reading through Survival Analysis in R, an ebook that I found for independent study, and have run into a point of confusion. They define the hazard function as follows: where T is whichever of the event time or the right censoring time comes first. The numerator is a probability, and t...

I am designing my experimental PCB and I have included a split rail DC/DC converter LM27762 in. But since I wasn't sure it will work, for testing purposes, I have included a 2x3 pin header for bridging the outputs of the converter to the board power planes. This is so that I can just test out the...

I've seen a lot of similar questions to the one I'd like to put forth and already read many of the answers provided, anyways I haven't been able to identify any mistakes in my computations. I was trying to solve the following integral $$ I = \int_{0}^{\infty}\frac{x^2\log(x)}{(x^2+1)^2}dx$$ I car...

I am trying to find what current can a GPIO of CH32V003 (the 10cent MCU) output. Its noticeably chinese english datasheet states (on p.21) GPIO (General-Purpose Input/Output Port) can sink or output up to ±8mA current, and sink or output ±20mA current (not strictly to VOL/VOH). How to interpret...

This dc-dc converter steps up voltage from 3.1V to 7.5V. I'm curious about the unusual D2 zener + R3 resistor to set the output voltage, instead of the traditional resistor based voltage divider. I understand that Vout set point is 1.2V (the FB pin voltage) plus the Zener voltage. The board has ...

I saw this in a reddit post talking about restaurants on the coast of France and I just can't make heads or tails of the bolded excerpt: J’ai graduellement déchanté en voyant les restaurants, lounges. T’as 200 tables serrées au maximum pour accepter le plus de gens possibles, des serveurs qui te...

In Parshat Chukat (21:32), we are told that Moshe Rabbenu sent out spie(s) to scout the land of Yazer. Are there any sources that identify who went to scout out the land of Yazer?

A sphere of radius $R$ is supported by a rope attached to a wall as shown in the below figure. The rope makes an angle $\theta$ with respect to the wall. The point where the rope is attached to the ball is such that if the line of the rope is extended it crosses the horizontal line through the ce...

Currently the government contains a Minister for Women and Equalities and a Minister of State for Women and Equalities https://www.gov.uk/government/news/ministerial-appointments-july-2024. What is the distinction between these two roles? Additionally, what rank does a plain Minister have? Minist...

I'm trying to recall the name of a book I read when I was younger, it was fairly large, presumably 800-1000 pages, the protagonist was a demi-human, young and male, I can't recall exactly what he was but I believe he was a Satyr. One of the characters was an Asian female with foot bindings that m...

Théoden appointed Éowyn as his steward when he went riding off to Gondor with Éomer. Then Éowyn disguised herself as a man and followed. Did Éowyn leave the remaining Rohirrim leaderless when she left? That sounds highly irresponsible, but seems to be true as far as I can tell. I can see nothing ...

I need to create External ID fields for both Interest Tags and Tag Category. I was able to create the external ID for Tag Category, but I'm unable to do the same for Interest Tags. I managed to get into Interest Tag's object manager page, but it shows an error message whenever I click on the New ...

If $x$ is rational and in the interval ${[0,1)}$, is it always possible to find constants $a_1, a_2, ..., a_n\in\{-1, 0, 1\}$ such that for some integer $n\geq{1}$, $x = a_1\cdot2^{-1} + a_2\cdot{2^{-2}} + \cdots + a_n\cdot{2^{-n}}$? This question is purely out of curiosity. When I see something ...

As a learning example, I am trying to derive the solution to the basic Heat Equation (https://en.wikipedia.org/wiki/Heat_equation) using Fourier Transforms. As I understand, the Heat Equation can describe the following scenario: Suppose you have a 1 dimensional rod with constant temperatures at b...

I'm trying to analyse the resource forks of classic Motorola 680x0 Mac files. All the documentation I can find says they start with 4 32-bit values: offset to data, offset to map, length of data, and length of map. The offset to the data is always 0x100 on all the files I have. One doc stated thi...

I wonder if this is possible and could be a retro-project? (Not something I would try myself, though) The bandwidth of flash is surely faster than yesterday's 1980s RAM (?) Why? One possible interesting outcome could be the non-volatile nature of Flash. Imagine being able to pause a game or othe...

Suppose I have a variable with a known distribution, and suppose I sample that variable k times and record the minimum. If I repeat this many times, will the median of the minimum converge to a predictable value, and if so, what is that value? My instinct tells me that the median will converge to...

Definitions: The generic hash function $h$ with output size $n$ bytes will be used as the underlying hash function. Suppose a file $F$ that can be divided into chunks of size $n$ bytes $F=f_0+f_1+...+f_i$ where the operator $``+``$ stands for concatenation (in real situations it is always possibl...

Just an example - STM32F722 has a few versions, but I'm talking about just the variance between two numbers: RET6 vs RET7. The former has a max operating temp of 85C, whereas the latter says 105C. My question is, on a technical level: What might be the difference between the two that makes the...

I want my code to be able to determine the direction of motion for the LIS2DE12 accelerometer. I did a test where I had the accelerometer on a breadboard (connected to the STM32) and logged the values over UART while the breadboard was at rest and when I slid the board in one direction. When the ...

I want to know the definition of "\partial (∂)" by using \DeclareMathSymbol. For example, the definition of "\alpha (α)" by using \DeclareMathSymbol is \DeclareMathSymbol\alpha{\mathord}{letters}{"0B}. And I also want to know which font files contain the symbol "\partial (∂)"

I must say that I am not familiar with tables in TeX and, indeed, have not yet understood how they work. I have tried to construct a table, the code is given below. \documentclass{article} \usepackage[table]{xcolor} \setlength{\arrayrulewidth}{1mm} \setlength{\tabcolsep}{18pt} \renewcommand{\arra...

Can anyone please help me name this location in The Legend of Zelda: Breath of the Wild so I can look it up on the web? It is in the Gerudo Highlands, at the top of a mountain.

In real science, an "instar" is simply a developmental stage between molts in arthropods. But in fictional science, it is an artificially constructed structure that is designed to function like an actual star. Here's the twist--an instar is designed to be all types of main-sequence stars in one...

Secco is Italian for dry. Many sources define the term within the context of recitativo secco, i.e. with sparse accompaniment. Wikipedia describes an appropriate realization for basso continuo. Two select sources, including this forum and a comment on my own Music.SE question, suggest (confidentl...

So, for a few years now, the country that was formerly known as Turkey wants the be known as Türkiye. International organisations like the United Nations, the OECD, and the World Bank Group seem to oblige. Suppose we also oblige, how are we supposed to pronounce Türkiye in English? (Does it happe...

I try to concurrently monitor a bunch of signed but non published transactions. I want to detect asap if any of the inputs into these bond transactions have been used in another transaction in my mempool. Available for use is the bitcoin core rpc and bdk/rust bitcoin. IIUC testmempoolaccept only ...

If a Path of the Giant barbarian uses its Mighty Impel feature on a creature with a flying speed to throw it into a chasm, does the creature fall? Does whether or not the creature was actively flying when it was thrown, and/or if it was flying by magical means, matter? If so, how does it change t...

As I understand it, a high-level spellcaster travelling in a blizzard can avoid cold damage using Investiture of Ice. However, the spell goes away if they rest, which they inevitably need to do. What happens if they rest? Do they freeze? From what @MissMisinforma wrote in the chat room, the rules...

My reason for this question is quite specific, but I would like to have it answered more generically since this might help others in the future if they search for this topic. Generic If a character wants to be able to have the critical specialization effect of a second weapon group, what can they...

When I was a kid, I watched this anime with a similar art style to Space Carrier Blue Noah (1979–1980). It was about this city that was in deep space and had to fight its way back to Earth. I think they eventually get there or something, but it had like little space battles and stuff. I don't rem...

I'm wondering how common (or uncommon) it is to cite R functions in publications. E.g. to write in a manuscript something like: We used the 'X' function from the 'Y' package version 0.2.0 [@ref] to compute... Where @ref points out to the actual package, not the function cited. Most of the time,...

I want to be greeted by # ##################################################### # ### PostgreSQL 16.3 ################################# # ##################################################### on login to a postgres server. so I add echo "# #####################################################" p...

In the book ADCS - Spacecraft Attitude Determination and Control on page 426 there is a diagram of the JWST ACS. Next I attach a reproduction of it from the book. The diagram shows the main soft- and hardware blocks of this system. It includes RCS thrusters, reaction wheels, IMU and FGS, star ca...

I face the situation of having programs doing sets of requirements where this is substantial overlap. The obvious example, is a software firm supporting multiple customers that have similar but different needs. A trivial example is that Customer One wants a blue screen and Customer Two wants a gr...

I know all flights departing the European Union are covered, this question is about other flights from Turkish Airlines. On this page I found information that reminds me a bit of the EC261. However, the compensation amounts are not specified. I wander what is the actual compensation, is it analog...

I am a green card holder with Turkish citizenship. I have been trying to understand if I need a visa or not. The flight will be from New York USA to Athens Greece and after 10 hours of layover and will be from Athens to Izmir Turkey. I have a voice green card. Is the exemptions applicable to me?...

You have a time machine... of sorts. It allows you to go into the past in an alternate universe. This universe started the same as ours, until visits from time travelers like yourself started making changes. As a result, modern day events look totally different. Different people have been bor...

Now that the keyboards have Touch ID sensors instead of Power/Eject keys, the sleep keyboard shortcut no longer works. Are there any workarounds how to put a Mac to sleep using only the keyboard?

Imagine the classic role-playing game potion: a transparent vial with red liquid, except this one is injectable—you stab it into your chest for dramatic scenography. The chemistry inside the potion is otherworldly, but the human anatomy remains the same old one we have. Given this, how quickly ca...

"Er kommt jede Woche zu uns." Why is "jede Woche" in the accusative case here and not the dative case as "jeder Woche"?

I'm designing a DAC board and I'm not sure what would be the best thing to do regarding grounding, to minimize noise. This is the approximate layout I have so far, with the system ground point (also the power input) shown at the bottom. It's a 4-layer board with both inner layers used as ground ...

I keep getting the wrong answer working the following problem out this way. I'm hoping someone could tell me where my reasoning is flawed. I'm surely missing something. The problem is to find the radius of convergence for: $$ \begin{align} f(x) &= \sum_{k=1}^{\infty} \frac{k!x^k}{k^k} \end{align}...

I am a bit confused because I don't fully understand when the axiom of choice can be used and when it cannot. Here is the definition of AC that interests me - it relies purely on sets (and importantly for me, it does not use the concept of functions): For every family $S$ of non-empty disjoint se...

Multiple published papers describe IPW as akin to having population with multiply copies of the same individuals. Hence, the correlation should be accounted and corrected using sandwich variance estimator or bootstrap-based variance in subsequent analysis when weights are supplied. In all honesty...

It seems from the wikipedia page that velocipedes were one DIY that was copied by many others. They say about the first example by Baron Karl von Drais: This design was welcomed by mechanically minded men daring to balance, and several thousand copies were built and used, primarily in Western Eu...

Puzzle by Niels Høeg: White just moved. What were the last three single moves? In other words, what was White’s last move and Black’s move before that and White’s move before that?

What answer is hidden below? As usual, explain your reasoning.

The Maxwell equations for magnetostatics in the absence of time varying electric field state that - $$ \mathbf{\overrightarrow{\nabla}} \cdot \mathbf{\overrightarrow{B}} = 0 $$ $$ \mathbf{\overrightarrow{\nabla}} \times \mathbf{\overrightarrow{B}} = \mu_0\mathbf{\overrightarrow{J}} $$ It is stat...

When an MCU is communicating with a sensor or DAC: does it matter where the pull up resistors closer to? and when calculating the bus capacitance, should always both the sensor and MCU input capacitance be added as part of total bus capacitance? or is this about the proximity of the resistor?

I am looking for books that are very technical on History of Science as a whole. It should be encyclopedia-typed, and written by prominent historians. It should also include philosophy of science type of discussion. An example in the field of "pure" history would be Will Durant's story of civiliz...

I'm writing a cover letter using the moderncv package and want to include a signature after the name sign off. E.g. Yours sincerely, signature.png Myname Attached is my MWE. % \documentclass[12pt,a4paper]{moderncv} \usepackage[english]{babel} \moderncvstyle{classic} ...

I am a non-resident alien in the US. Can I fly domestically without my passport, clearing TSA checks with my Driving License? My driving license is real-id compliant, and is current (not expired). However, it does have a label on it saying, "limited term", like this: From the TSA website: A te...

Given some redshift z, how do we find the distance using the cosmological red shift formula (and presumably the Friedmann equations)? a = 1/(1+z), and we can assume that omega_0 = 1. I know a reasonable answer can be achieved using Hubbles law, but was looking for the specific method going via a....

Let $X$ be a finite CW complex and let $X \wedge X$ denote its smash product. Given the higher homotopy and homology groups $\pi_i(X)$ and $H_i(X)$, is there a simple way to calculate $\pi_i(X \wedge X)$ or $H_i(X \wedge X)$? For the special case of fundamental groups ($i=1$), there is a formula ...

Suppose I have a continuous surjective map $f:X\to Y$, Then there is a the obvious map $f^{-1}:Y\to P(X)$. Clearly I can use the axiom of choice to get a right-inverse $g$ from this. But is it always possible to choose a continuous right-inverse? If not, what are some extra assumptions I can make...

I have an alternate Earth with no humans where massive patches of the oceans are supposed to be burning. The fires do not come from artificial or man-made causes. The flames themselves: have lasted for millions of years range from being small to being expansive enough to form massive walls of fi...

My main problem for the last six years has absolutely been rewriting. I write a lot, I can sit down and in hour thirty pump out a 4 thousand word chapter. My problem has always been rewriting, and constant lack of confidence in anything. Let me explain with my first chapter. Last Wednesday the ch...