I am trying to find the t value for a confidence interval of the difference in the sample mean of 2 random variables. The variance here is unknown and unequal, so the formula for v that one must use is: Having done this calculation, and I am certain it is correct, I am getting a decimal value. O...

Trying to get a better grasp on low-level memory management, I implemented an arena allocator in C++. It's a rough learning exercise inspired by Handmade hero's and tsoding's advice on memory management. I'll continue to work on it as to make it adhere to Casey Muratori's ZII (zero is initializa...

I saw this movie in early 90's, but it could be from 80's. I recall few scenes: It was set in the future or in a parallel universe. Cyborgs in black armor were the bad guys. Humans lived in the city under a dome that consisted of hexagonal tiles. One cyborg is shooting with a weapon into tiles a...

We had below freezing temperatures and the water line in my kitchen froze (no water was coming from the kitchen faucet). The kitchen wall, where the pipes run, faces the backyard so it gets hit with cold wind. I ran a small heater under the kitchen sink and things are back to normal. I have since...

Why do the A-4 Skyhawk and T-38 Talon have high roll rates? What is the underlying physics behind their exceptional roll performance? Is it related to their mass distribution being concentrated along the longitudinal axis, or are there other design factors contributing to this capability?

This might be a silly question, but something made me think about it recently... Scenario 1 Let's assume, as a thought experiment, I filled a spherical volume of space with a radius of 77 AU, with "air". By "air", I am assuming "matter that has the same density as Earth's atmosphere at STP" ($1.2...

Background: I was reading the following comment from the meta site: "One can easily show that transcendental numbers exist, but to show that a single particular number is transcendental is a very different question." The usual "easy" proof that transcendental numbers exist goes like this: The ...

Recently there have been multiple controversial statements made by the incoming US leadership and associates (i.e. Trump, Musk) towards other countries and their leadership: BBC article: Trump implied economic or military force is possible for a takeover of Greenland Independent article: Musk su...

Google has made an announce about its new Willow quantum chip. Here is their roadmap : which claims to have reached efficient error correction with 100 qubits. On the other hand, I was aware of IBM's roadmap : which plans error correction enabled QPUs by 2029 (in 4 years), with 200 qubits. I am ...

On the ISS, dirty laundry is burned by being de-orbited, rather than washed. Laundry on the ISS As mission length increases, the mass of disposable clothing eventually makes laundry a necessity. One-year stints on the ISS have not forced re-use of clothing, but a 3 year “Hohmann transfer” Mars mi...

When the adjective irrational is applied to $\sqrt{2}$ and other elements of ${\textbf R} \setminus {\textbf Q}$, it's not uncommon for people, especially those not enamored of STEM, to understand it in its derogatory senses like unsound, illogical, or crazy. And we know that the Pythagoreans wer...

Years ago I saw the start of a very old comedy movie. I think it must have been early 1930's. The plot started at the end of the American Civil War. A trio (or maybe quartet) of confidence tricksters have made money through some fraud. But one of them invested their money in Confederate war bond...

In particular, the Greek Interlinear on bible hub reads: “Neither for to die anymore are they able, like angels for they are ; and sons they are of God” My questions is whether or not the comma or the semi-colon (in the text above) is present in any manuscripts— from which we base our translation...

I was wondering how you'd calculate time dilation if there's two masses acting on you at once. For example lets say I wanted to calculate the time dilation between Earth and PlanetB (I just made that up idk) but PlanetB was really close to a black hole who's gravity was acting on it. How would I ...

After enraging Potiphar, Joseph was sent to jail. The Torah doesn't specify how long the term was for, but seeing as he was released 2 years after interpreting the baker's dream, it is safe to assume he was sentenced to many years in prison. However, I was reading that the concept of long prison ...

I have an Icosphere with multiple points distributed on its surface using sample nearest surface (will share the current node setup). I cannot simply use distribute points on faces node since I need the number of points expressed as an integer count rather than a density parameter, it needs to be...

I’ve been diving into circuit analysis and came across a thought that I wanted to share and get your opinions on. When performing AC and DC analysis in circuits, it seems to me that we’re essentially applying the superposition theorem. Here's my reasoning: While doing DC analysis, we short the AC...

This is my first contribution to puzzling! A while ago I composed this problem based on Article 6.9 of the Fide Laws of Chess. Your goal is to determine what the result of this game should be after White runs out of time: victory for Black or draw? (Naturally, it is White to move.) FEN: 6kB/p3p...

Definition. Let R be the set of all real numbers. A closed formula on the set R (or its subset) is a finite (the number of elements does not depend on the value of the argument) combination and/or superposition of arithmetic operations and elementary functions — power, exponential, logarithmic, t...

Updating iLO 5 in our environment and for two of the servers I am getting the following warning thrown at me which is very scary sounding. Problem here is that BitLocker isn't even installed on either of these servers. Anyone run into this and have any idea what could be going on?

Here is a small bit of WKT that represents a polygon that stretches from roughly the coast of British Columbia to the shores of Lake Ontario: POLYGON((-82.352871+42.98213,-80.239731+43.171476,-77.401816+44.188721,-99.963961+49.82473,-122.778217+53.897775,-82.352871+42.98213)) You can visualize t...

I spend a lot of time on YouTube and watch a lot of math-related videos on there, and we've just entered the year of 2025, so I've been seeing a lot of videos pop up in my feed with cool facts about 2025, many with the thumbnail $(20+25)^2 = 2025$. This made me wonder, how many other numbers have...

I saw this movie in 2002/2003 on Sky Television in New Zealand while staying in a motel, so it was likely to be produced earlier. According to the Wikipedia entry for Sky Television NZ, it was likely to be a HBO movie as that was the main provider for their Sky Movie channel I don't remember any ...

My bathroom sink was having trouble opening and closing. At some point my wife removed the pop up by mistake. She needed to fill the sink so she dropped the plug in without the actual pop up. Now it is stuck flush to the bottom. I can't lift it out and I can't figure out how to. Any ideas? I have...

When the Mishna/Gemara lists a Machlokes, for the first opinion (if not Tanna Kamma/anonymous), it will either quote the disputant's name first - e.g., "Amar Rebbi Meir..." or after the opinion - e.g., "... Divrei Rebbi Meir." Is there a rule when to choose either option?

I have two hashcodes hashed by the same function. If I know that there is a set relationship (eg. a transposal of every other letter) between the two inputs, is it possible to derive from the hashes what the original inputs were? For example: input1 = foobar input2 = transpose(input1) = foaobr ha...

Context: 64bit Ubuntu Server 24.04 on Raspberry pi 3B+ sudo systemctl status ssh Results after restarting ssh server. Why does the second line indicate disabled? How to diagnose / test? What limitation does this impose? ● ssh.service - OpenBSD Secure Shell server Loaded: loaded (/usr/lib/...

A unit camera vector pointing toward the camera/observer can be useful for calculating e.g. background and foreground. I saw it used first time here: Parabolic Moebius map on sphere using tikz and I have myself used it e.g. here: Quiver plot on surface -just by copying the vector: \pgfmathsetmacr...

Where I am from all prices advertise must be the price you pay. What you see is what you pay. This means that taxes, fees and anything else must be included in the advertised price. This is regardless of the price is advertised in a physical store, online or in a commercial somewhere. I have seen...

I am trying to port a script from a Ubuntu Linux box to a macOS laptop and I'm struggling to get my find with a regex setup correctly. In a directory, I have the following files. /Users/kevin/Documents/Audio/arn/2400/Report2400.clip.mp3 /Users/kevin/Documents/Audio/arn/2400/Report2400.clip1.mp3 /...

I recently found this paper describing a Python program to assemble multiple Sanger sequences into a complete genome: https://peerj.com/articles/11354 The program uses the command line tool needle from EMBOSS. When given two ".seq" files, needle comes up with something like this: needle -out...

Suppose I have my10List, a list of the ten integers from 1 to 10. Suppose I wish to rearrange the list so that the element 8 appears at the end; in other words, I wish to obtain the list {1, 2, 3, 4, 5, 6, 7, 9, 10, 8}. Of course, there are numerous ways to accomplish this. One way is to use Join...

I noticed this issue on a Mac running Docker Desktop. I've been running Docker on this Mac for a while with no problems, and this cropped up apropos of nothing, after a reboot: "com.docker.socket" was not opened because it contains malware Anyone have idea why? Note: I'm recreating this questio...

I'm stuck trying to prove a statement that seems intuitively obvious but not really straightforward to establish rigorously. The $(n-1)$-dimensional probability simplex $X$ is the set $$ X=\left\{\mathbf{x}\in[0,1]^n:\sum_{i=1}^nx_i=1\right\}. $$ Let $U$ be the set of the scaled down integer latt...

I want to turn 4 LEDs off, on, or anywhere in between with an MCU. I do not want to use PWM because I have to avoid flicker on camera. I have a DAC on the MCU that can output between 0 and 2.8V, and a power rail of 5V that can source enough current to drive the LEDs. I have looked at several opti...

At my workplace, there is company-wide discretionary/unlimited PTO policy in place. The Employee Guide that I was given and signed off on when I started, as well as what is currently documented in company-wide policies, references this. Specifically: As long as you can manage your work, you have...

There's a book I read in seventh grade about a girl who is brought back from a severe car accident. Her parents are doing some underground scientific stuff with stem cells and they use it to bring her back. The ringer is that they're keeping it a secret from her and she starts to find out, thanks...

Trying to understand the background to nominal sentences, I realize I don't understand the term. Are they nominal because they are sentences in name only, and aren't really sentences? Or is it that they tend to function as a noun (as implied by nominal as a grammatical term)? Which seems a little...

Each match has equal probability of one player losing, the other player losing, or both losing. If a player loses, they are out of the tournament. If there are an uneven number of players in a given round, one of the players randomly gets a bye. The tournament ends when there are either 0 or 1 pl...

Can I use put an A or D string on my violin in place of a G string? I don't think I have a G string to use.

I am including tikzpicture plots inside a tikzpicture node. The plots includes arrows along the curve. When the node includes the rounded corners parameter, the arrows behave incorrectly, as shown in the image below. The MWE I used to create this image is below. Note the only difference between ...

I am currently studying the quantum Rabi model, whose Hamiltonian reads $$ H = \frac{\Omega}{2} \sigma_z + \hbar \omega a^\dagger a + g (a^\dagger+a) \sigma_x. $$ In mainstream papers, this is the Hamiltonian we work with. However, I am asked the question, what the coupling strength $g$ actually ...

I want to use the Latin Modern Dunhill font. So, I try \usepackage{lmodern} and \fontfamily{lmdc}\selectfont in the preamble. What is the correct high level command to specify a font code for the whole document? \documentclass{article} \usepackage{lmodern} \fontfamily{lmdh}\selectfont % I want to...

Continuing What is the relationship between algorithms and logic? my second question is Can we write all the definitions in iff statements and theorems in if-then statements. I mean algorithms have just two entities if-then and loops which will imply all mathematics/science algorithmic?

I have a Mac to which I frequently need to log in remotely via SSH. I also have a couple of remote Raspberry Pies which are behind a double NAT and on which I have set up reverse SSH tunnels (remote SSH Port Forwarding) so that I can log in to them from my machine at home. Note that SSH password ...

A little while ago, I ran into an error with Resident Evil 2 where I had to uninstall the game and re-download it off Steam. When I re-downloaded it, all my progress had been saved. Does Steam always do this for all games? Do games have to add it as a feature? If so, is there a limit to how much ...

[FEN ""] [StartPly "12"] 1. e4 c5 2. Nf3 d6 3. d4 cxd4 4. Nxd4 Nf6 5. Nc3 a6 6. Be2 e5 Here 7. Nb3 is played 9994 times but 7. Nf3 is played only 731 times. The win rate is favourable to white for both moves: So why is 7. Nf3 so rare?

In designing many different types of games where a player's skill is a factor in progressing through the game, one is able to put challenges ahead of a player of varying difficulties. For example, in a game with multiple levels, level 1 should usually be incredibly easy, but by level 50, say, it ...

We hear Jesus telling a parable in Lk 15:4-5(KJV): What man of you, having an hundred sheep, if he lose one of them, doth not leave the ninety and nine in the wilderness, and go after that which is lost, until he find it? And when he hath found it, he layeth it on his shoulders, rejoicing. It i...

I'm trying to find a scary movie from the 90s. Here’s what I remember: A mother loses her two (maybe it was only one) children in a car accident. I recall the car getting stuck on train rails at a crossroad, and the train smashes the back seats. This might be told through a flashback. The mother ...

How to check if date field is empty in apex? What will be value for default date field and how can I confirm if its empty by default?

I used the position of the point before resampling to output to the index of nearest node, hoping to remove the inflection point after resampling by distance, but it doesn't seem to work Also, I would like to ask what the Boolean function of capturing attributes is. Even if I assign the selected...

Could someone explain how to maintain the same vertical distance (denoted as "a") from the top to the first content (as shown in the two frames below)? Including a dummy image seems to work fine (Frame 1), but when I add a tikzpicture, the vertical distance between the text and the tikzpicture ch...

I am holding an Indian passport and Australian permanent residency. I am planning to visit to Korea and Japan. I have booked my flights to fly in and out from Seoul. I am planning to obtain a Japan tourist visa. Then my plan is to fly from Australia to Seoul and gain entry on B2 Transit visit. I ...

How to define a specific electrical impedance symbol in Circuitikz: a rectangle filled with diagonal red lines at equal intervals? See the desired output below. My Desired Output: My Current Output: My Current Code: \documentclass{article} \usepackage{circuitikz} \begin{document} \be...

I was going through this article from Analog devices.This document mentions voltage transients in ceramic capacitors. This is given below. This does not explain why transients are produced in ceramic capacitors and why it is not generated in tantalum capacitors. Can you please explain, How and...

Normally, I would see the verb "play" followed by an object ("football" or "a card game" for example) or some prepositional adverb like "outside", e.g. "I just played outside." So for a native speaker, is it awkward for them to receive the reply like "I just played" or "I was just playing" after ...

For example, if a dice roll has already occurred and we know that it landed on 6, is the probability of it landing on 6 trivially 1? Or is it still 1/6 (or maybe something close to but less than 1)? On the face of it, it seems that it should be 1, since we already know it landed on 6. But there h...

I am trying to compute the IC from S1 to S0. My input is as follows: ! TPSSh DEF2-TZVPD DEF2/J ESD(IC) ! D4 ! SMD(H2O) %METHOD METHOD DFT FUNCTIONAL hyb_mgga_xc_tpssh END %TDDFT TDA FALSE NROOTS 3 IROOT 1 NACME TRUE ETF TRUE END %ESD GSHESSIAN "S0.hess" ESHESSIAN

Pierce (1984, Econometrica) states on page 1035 that it is only true in two-player games that the set of rationalisable strategies is equal to the set of strategies surviving iterated elimination of strictly dominated strategies. I have seen counterexamples when $N\geq 3$, but I have a proof and ...

Given that $U_1,U_2$ are $iid$ Uniform(0,1), find the variance of $$T=\frac{\ln{U_1}}{\ln U_1 + \ln(1-U_2)}$$ Let $U\sim Uniform(0,1)=U(0,1)$ Multiply numerator and denominator by $-1$. Since $1-U\sim U(0,1)$, let $1-U_2=U_3 \sim U(0,1)$: $$T=\frac{-\ln{U_1}}{-\ln U_1 - \ln(U_3)}$$ Convert to e...

In linear regression, two key assumptions often discussed are additivity and linearity, as defined in ISLR (Introduction to Statistical Learning): Additivity: The association between a predictor $𝑋_𝑗$and the response $𝑌$ does not depend on the values of other predictors. Linearity: The change ...

Let $Y_1, Y_2,\dots,Y_n$ be independent and identically distributed nonnegative random variables, each with the same PDF $f(y_i),i=1,2,...,n$. Now how to calculate the conditioned expectation $E[Y_1|Y_1+\cdots+Y_n=y]$? For the unconditioned expectation $E[Y_1]$, we can calculate it by integral \b...

I came across this book years ago (maybe 15-20?) at a fair (in India). At the time, I was too young to grasp the puzzles. Now, I'm revisiting it and finding it incredibly intriguing. I've included a puzzle from the book - give it a try!

Can a Paillier ciphertext serve as a commitment to the plaintext? In other words, is it computationally feasible to generate two different plaintexts that encrypt to the same ciphertext under different keys? More detail: if a Paillier ciphertext $E(m,r) = g^m r^n \mod n^2$ of a plaintext $m$ is a...

A very simple question, yet, I have not been able to find a straightforward answer on the internet. When trying to estimate a probability distribution of stock returns from historical data, should I use overlapping or non-overlapping windows of returns? Say I want to construct a simple histogram ...

I have two identical files with different date/time and owner attributes. diff does not indicate that they differ. Is there any way to include attributes in the comparison as well? I want to see if the attributes differ.

Research paper: The Random Skipping Sequential (RSS) Monte Carlo algorithm The main algorithm described in the given link is a Random Skipping Sequential Monte Carlo Algorithm (RSS Algorithm) designed to accelerate Markov chain Monte Carlo simulations by relaxing the strict detailed balance con...

I was studying AI when a question came to my mind. In the context of search problems, a heuristics is a non-negative real-valued function on the space of states. A heuristic is said to be consistent if it satisfies the triangle-equality-like condition kindly stated in an answer below. I'm attempt...

I am looking for a component of my dead TV. It is IC207 in the picture and the TV is a GU55AU7179U and the board no is BN9653076A. Does anyone have an idea what chip this is? Most probably a voltage regulator ic I guess.

CTV news writes Dozens of people in Canada have scurvy, and it's because of food A disease often thought to only affect 18th century sailors is reemerging in Canada. Earlier this week, doctors identified 27 cases of scurvy caused by prolonged and severe vitamin C deficiency in northern Saskatche...

I am trying to use I2C to switch on a OLED display using a minimal number of instructions. I noticed in this blog they claim that there is a fairly long initialization sequence necessary before it's possible to pump out the Resume command 8'hA4 and the switch ON command 8'hAF: ... Set MUX Ratio [...

I designed this schematic: The input is a sinewave of RMS 12.5mV. I pass it through a 2nd order high-pass filter of cutoff frequency 2kHz, and then through a non-inverting op-amp. The gain of the unfiltered signal signal should be 200. The problem that I am having is that the sinewave is getting...

I have an analog sensor that requires constant supply voltage and outputs a fraction of the supply voltage. I need to design a module that will be able to output a digital signal representing the sensor output. First I just paired it with an ADC: But I quickly realized that this was not a very g...

In the previous topics there was a question about Present Perfect and Past Simple: I have played football but I stopped doing it. And what about Past Perfect and Past Simple in the same sentence? I had played football but I stopped doing it. Is it correct? Thank you!

can i use 3d objects in blender VSE without having to render the animation as a video, or is there any addon for this?

I have already submitted my documents along with a cover letter for a faculty position in US. Unfortunately, after submission I noticed that in my cover letter a sentence has been repeated twice. What is your suggestion in such these cases? Is it have a negative impact on my application? Is it pr...

How we know that Newton and Leibniz discovered calculus independently or is it just a community agreement, that both get the same credit ? If Leibniz published calculus first, do we have papers of Newton calculus before that date? Why Newton accused Leibniz, how he could see his papers(at his...

I am designing a circuit for a magnetic transducer buzzer and this is the provided application schematic for the buzzer I am using (ST-025BH): The buzzers maximum mean current is 100mA, and with its resistance and the voltage drop across the BJT its getting about 190mA. Is this ok because with a...

I'd like to incorporate a table inside a longtable cell, it should look like this: Does anybody know if it's possible to create this? Here's my code: \documentclass[11pt]{article} \usepackage{longtable} \usepackage{array} \usepackage[table,xcdraw]{xcolor} \usepackage{colortbl} \...

We have a web-based customer management application. When copy-and-pasting data into our application, users sometimes enter leading or trailing spaces or special characters (tabs, or even control characters), which end up in the database and cause inconveniences later on. The following code preve...

After my christmas holiday, My ebike suddenly give a error code. It gives the eo10 error code. My bike is the velodeville aes 490. With the shimano e6100 motor. It has only 1000km on it or about 621 miles. So he is fairly new. I ride it every day to school. I live in the Netherlands with a lot of...

I'm using \includeonlyframes to fine-tune my presentation and have encountered this issue. MWE: \documentclass{beamer} \usepackage[english]{babel} \usepackage{inputenc} \usepackage{multicol} \includeonlyframes{sec1sub1fra1, sec1sub1fra2} \begin{document} \section{Section One} \begin{frame}[lab...

I have a table source_aepsfinswitch_tmp_details containing a very large dataset. My goal is to partition this table into two partitions based on the reconciliation_date_time column: If reconciliation_date_time is NULL, the row should go to one partition. If reconciliation_date_time is NOT NULL, ...

Is it possible to model aerobatics (spins, lomcevaks, stall turns, knife-edge flight, snap rolls, etc) in a flight simulator accurately? Why do no flight sims on the market model these maneuvers?

This may not be a very useful question but I'm wondering why isn't Rosalina better than Funky Kong in Mario Kart Wii. They're the same weight so they can use the same vehicles (such as the Flame runner). Funky has 4 speed stats and 3 off-road bonus when Rosalina has 3 speed, 3 handling and 3 mini...

Without going into the dirty definitions, let us say that a Noether map is a map from some kind of "parameters" to conservation laws, and a co-Noether map is a map from conservation laws to the aformentioned "parameters". The usual formulation of Noether's first theorem gives a Noether map (which...

I am new to handling geospatial data. I've been working on species abundance data to examine where species do and do not overlap. Based on some simple plotting using terra the species data calculations have gone as expected, however I'm running into a bit of an issue with trying to get the data i...

I want to calculate a sum of "activated"/"clicked" buttons using java.script (cf. https://git.rwth-aachen.de/-/snippets/1330). For example clicking on the first button in the first row and on the second in the second row I get the sum of "3": This works fine, since I can differentiate the radio ...

I have a set of interpolated raster files derived from a road network. Where QNEAT3 has interpolated between the road lines to make a simple outside edge, the values given in these 'white spaces' are sometimes above the threshold set (600 seconds). I'd like to cull all values above 600 and ideall...

After attempting to install the Civi Volunteer extension, I received an install error. Thereafter, any attempt to install, uninstall, enable, or disable any extension is resulting in a DB Syntax error - some of which make directly reference to Civi Volunteer and suggest an SQL issue. This is a re...

Let $f$ be a strictly increasing, continuous function from $[0,1]$ to $[0,1]$. Assume that $f(x)\geq x$ for all $x$. Can a strictly increasing, continuous $f$ touch the $y = x$ line infinitely often in a way that the function is never identity on any sub-interval of $[0,1]$? I am trying to unders...

In his "Introduction to operator space theory", in the first paragraph, Gilles Pisier writes: An operator space is simply a Banach space with an isometric linear embedding in the space $B(H)$ of bounded linear operators on H. I don't understand this definition in a simple case: Let $S_2(\mathbb C...