I would like to have the outputs of MCP6542 dual comparator inform that one, the other, or both of comparator A and comparator B is logic high. Can I achieve this with a wire-OR? If not, what external circuitry would be required and why?

This question has come up after asking this question earlier. When I use the DnD Beyond app to make a Fire Giant Goliath, I am confused with the use of Fire's Burn. In the 2024 PHB the description says the following: Fire’s Burn (Fire Giant). When you hit a target with an attack roll and deal da...

Suppose $f: \mathbb R \to \mathbb R$ is continuous and satisfies $$\liminf_{y \to x} \left | \frac{f(y) - f(x)}{y-x} \right | = 0$$ for almost every $x \in \mathbb R$. Question: Does this imply that $f$ is differentiable a.e. (necessarily with derivative $0$ a.e.)?

When loading an Apps Script Web App the console shows the following error: Uncaught TypeError: vb.X is not a constructor This started only this morning (1/15/2025) and has never been an issue before. This also happens across different apps. It will work randomly after a refresh or 2 (or 3...), ...

I did some calculation using property list and got some unexpected results. As the picture shows, each value is correctly assigned its name(key). But they have the same unit even though I specified the unit parameter in third number of the optional argument in \eval command. Secondly, I didn't pr...

Is there any vertex transitive graph whose automorphism group is cyclic? Note that the automorphism groups of cyclic graphs are the dihedral groups not cyclic groups. Edit: I should have added that the graph should have more than 2 vertices.

Good morning. I cannot explain the imperfect subjunctive in Lucretius de RN, 3.880. Here is the text, with the preceding line: vivus enim sibi cum proponit quisque futurum, corpus uti volucres lacerent in morte feraeque... I would explain it to myself as a "noun clause," introduced by "ut(i)," a ...

I have a blown fuse when I tried to remove it the socket turns with the fuse. How can I remove old fuse and install a new one? I'm in Michigan, USA.

I have a tex file \documentclass{article} \usepackage{mathtools} \begin{document} \begin{align} F & =\begin{multlined}[t] H (x) \\ \text{where $H(x) \coloneq G(x)$} \label{eq1} \end{multlined} \end{align} \begin{align} F & =\begin{multlined}[t] H (x) \\ \text{where $H(x) \coloneq G(x)$} \end{...

I have set up the listings package with some options, but particularly with basicstyle=\footnotesize However, this size is also used for \lstinline, which produces a smaller font size than the regular text. Is there a way I can change the settings for \lstinline? I know I could fix this single in...

This question (Why did Saturn V have fins?) led me to ponder what changed in rocket design after the Saturn V rockets that led to the lack of fins on rockets (at least that I could find) post-Saturn V? I was unable to find other significant examples of rockets that used fins after that time. Al...

I am installing both cabinets and new flooring into the kitchen. The flooring is LVP, and it says explicitly to not place the cabinets on top of it, and to leave a 1/4" expansion gap everywhere. I have seen pictures where cabinets were placed first, then LVP run up to it (leaving a small gap) an...

I have a tex file \documentclass{article} \usepackage{mathtools} \mathtoolsset{showonlyrefs} \newcommand{\qtextq}[1]{\quad\text{#1}\quad} \begin{document} \begin{align} F & = A + B \\ & = \begin{multlined}[t] f(x) + g(x) \\ \qtextq{where} f(x) := ... \label{eq1} \\ g(x) := ... \label{eq2} \end{...

This problem is from USAMTS 2024 round 3. The solution is provided on the website, but it doesn't show how to obtain that solution, which is what I am really interested in. In a Markdown Table (with 0 representing an empty square): 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 4 0 0 0 6 0 0 6 ...

I read this story possibly in a Breakaway magazine (Focus on the Family's teen magazine for guys) back in the mid-late 2000s (same era that followed the Left Behind hype). This young man was on a plane that had crashed and everyone on board perished, but he didn't realize this because he had been...

I have ridden off and on for a good portion of my life. I'm 55 now and have two young children so my riding time is limited. I'm considering getting a power meter. I'm really looking at the options from Favero Assioma. I've been looking into the pros and cons of a single-sided versus dual-sid...

This question is a follow-up to this one: How to access the calligraphed letters from the calligra package? There are two different versions of the capital letter E in this package. They are slightly different from the one in the calligra package. \documentclass[french]{article} ...

I need to generate an std::string based on a format string and arguments for that string. I'm using C++20 and in my current implementation I have: #include <format> #include <iostream> #include <string> template<typename... Args> std::string make_str(const std::string& msg, Args &&... args) { ...

I was wondering if you knew how colleges typically employ industry adjuncts? I ask because we have been approached by a local hospital group about interventional radiology technicians. Those technicians are very well paid in our market and it is difficult to hire instructors/professors to teach t...

I'm an artist and use my Sony A7iii to photograph my finished paintings to list on my website and on social media. When I'm editing, I'll often see these strange wavy lines. At first they appear to be the texture of the canvas, except that they're wavy and if they were part of the canvas, they'd ...

Suppose I have a continuous stream of events - say the price of a stock. If I have a trained recurrent network, then at any point in time, we have the predicted value and the actual value. It seems intuitive that I should be able to use the actual value to train the model on an on-going basis? Ho...

I am trying to get this VCO working in LTspice, but for some reason, the schematic in the user manual is not working. What am I doing wrong?

I have recently bought an Atorch UD18 USB current tester. I would like to determine the Wh and mAh capacities of a power bank. Of the two, I prefer Wh, but the reality is that mAh is used more commonly. Sigh... I attached a USB power source to the USB-C input, and connected the USB-C output to...

I was attempting to follow this tutorial: https://www.youtube.com/watch?v=Dbw7fybKsrM However, I do not have Substance so I tried to do the baking within Blender and got decently far, I even attempted to make a cage similar to what I saw him do with a Substance feature, and I made some progress, ...

I have a function, int1[w] which incorporates two yet-to-be evaluated constants, u a positive real and n > 2 an integer. The function definition is: int1[w_] := Piecewise[{{u*(w - 1/2), w == n/u}}, (1/Pi)*(SinIntegral[Pi*(n - u*w)] + (-1)^n*((u*(2*w - 1)*Sin[Pi*u*w])/(2*(u*w - n))))] I want to...

Can one say that a class is nothing more or less than what is called a „set“ in naive set theory or would this go to far? AFAIK in naive set theory a set is basically a collection whose members satisfy the predicate $\varphi$, i.e. {x|$\varphi$(x)}, and that is what a class looks like formally.

This is the board of a vacuum cleaner. It does not give voltage to the motor, I need to change the Q4 chip but I can't see the complete code. Does anyone have any idea what chip it might be?

If a man marries a woman who has children from a previous relationship. If the biological father does not feature in the childrens lives can the man adopt his wife's children so his all the same rights and responsibilities like it would be if they adopted an orphan together. With the mother's per...

I am a teenager who has had the desire for a long time for an eternal relationship with someone. I usually do a little research into certain philosophies, and enlightenment and related things, but I no longer see hope that my wish is possible, and even though they say that the important thing is ...

The full sentence is: あなたに美世さんを守れるというのですか？ What interests me is the use of a “に/を” pattern with potential mood. I had always thought that this was not grammatical. I had indeed always learnt it was not, have even given answers here that asserted that it was not, and have never encountered it be...

How can I create a LaTeX command that allows me to draw matrices with parameterizable content, configurable colored cells, and customizable cell colors? I would like to define the matrix values, specify which cells should be highlighted, and easily customize the color used for highlighting. The d...

Let $\mathcal{C}$ be a small category and $\mathcal{M}$ a (cofibrantly generated) model category. The functor category $\mathcal{M}^{\mathcal{C^{op}}}$ acquires a (cofibrantly generated) model structure by taking fibrations and weak equivalences to be exactly those natural transformations such th...

Is it possible to prove that a $Beta(\alpha,\beta)$ distributed random variable is always stochastically dominated by a $Beta(\alpha',\beta')$ if $\alpha'>\alpha$ and $\beta'<\beta$? I've read it in an article but I couldn't find any bibliography about. The proof is straightforward whenever $\al...

In the ST:TOS episode I, Mudd when conversing with Uhura, one of the androids tells her that (paraphrased): We can transplant a human brain into an android body, thus giving you immortality and eternal beauty. This was stated as if it was a fact, and that they had actually previously done this....

In this hypothetical scenario I'm a lienholder on a vehicle in Pennsylvania due to a seller-financing agreement. Pretend that I sold the car to an individual for an agreed-upon price, and the transaction was properly documented, including a notarized agreement and the retention of a lien on the v...

This is similar to my previous question, here: How can we test whether other possible worlds exist?. In that question, I asked how we can test whether other possible worlds exist. Now, I am asking a related but different question, as to whether one can test whether (non-actual) possibility exists...

My field is biology and I went to a private school with a good GPA. I have had publications in undergrad and since graduating (2.5 years). I have been working as a lab tech/manager in my field since I graduated. Basically, I have high-functioning autism (diagnosed) and I want to enter grad school...

There's been a lot of talk about how much water AI uses. I keep reading that they use it for cooling, but after they do that where's the water going? From my understanding, liquid cooled PCs are fully enclosed not requiring top-ups unless there are leaks. Even if they do flow water in and back ou...

I'm a supervisor of a company and inadvertently told someone in a different section of the company that a certain person was pregnant and that work will get really busier for me whan this person takes time off work. This person has found out and made a complaint against me and won't accept my apo...

I have an Ethereum sepolia account in my Trezor, and I'm trying to use it to create a Safe multi-sig. After scanning my accounts from the Safe UI, I only get my Ethereum accounts. How do I get my sepolia accounts?

Regarding this power multiplexer IC's the digital inputs D0 and D1, the input impedance of the D0 and D1 is not given. Only Input current at D0 or D1 is given as 1.4uA. So far I ended with the following wiring for a particular behavior: Is there a way to conclude for pull up and pull down resis...

Longtime emacs user but still not great at elisp. I use ibuffer and have (setq ibuffer-formats '(... (filename 10 150 :left))) This works but a lot of files I'm working with are pretty far down in the hierarchy so I can't see the whole name. I have some env vars set up in the shell before I ru...

In both physics and chemistry I have often heard my teachers informally say. Xyz process happens since it leads to lower potential energy of the system. So the lowering in potential energy of a system seems to be quite a fundamental law of physics with how many processes it seems to explain and h...

JPL Horizons offers various interfaces to query for ephemeris tables of various artificial satellites. I've read that spacecraft trajectory plans may be submitted in advance, but since actual positions may deviate from these plans especially over time, how (and by whom?) are actual spacecraft pos...

The first section of Coifman and Weiss' Analyse harmonique non-commutative sur certains espaces homogènes is dedicated to proving the Peter–Weyl theorem for compact groups (for a compact group $G$, $L^{2}(G)$ decomposes into an orthogonal direct sum of irreducible unitary representations, with or...

I am writing an essay on how musical tuning systems developed differently across cultures. Currently I'm looking into how Europe eventually came to the standard 12TET, while there were other systems being developed such as Vincentino's 31TET. I am also looking into the 7 note tuning system of Tha...

I am studying second quantization in the context of quantum chemistry. I apologize in advance if this seems basic. Say we are interested in computing the next braket \begin{equation} \langle \text{CS}|\hat{a}_{a\sigma}^\dagger[\hat{a}_{i\sigma},\hat{H}]|\text{CS} \rangle \tag{1} \end{equation...

As per general knowledge, removing a problem when it was small was a good idea. Then why Bhagwan wait for the tipping point for the problem to be big and then come as an avatar. What purpose does he solve by this way of solving problems.

I have a Solaris server, it use ldap for user authentication and kerberos for password. The user can change his password, I have only problem with password aging for example: passwd -r ldap -n 12 giovanni Enter giovanni's password: Permission denied This is the pam.conf for passwd passwd auth ...

Just for test, I created and mounted the same XFS file system on two hosts based on a shared device (pmem).Host A created a file in its mounted directory and executed the sync command to ensure that xfs_db can see the newly created inode information. However, this new file is not visible on Host ...

Why do early bombers like the Junkers JU-87 Stuka, have cage looking windows? What is the reason for this? (Pictures from Wikipedia)

The setup code: class MyContainer: def __init__( self ): self.stuff = [ 1, 2, 3 ] def __iter__( self ): print( "__iter__" ) return iter( self.stuff ) def __len__( self ): print( "__len__" ) return len( self.stuff ) mc = MyContainer() Now, in...

Suppose: $B$ is closed in $X$ $\iff$ $B \cap X_n$ is losed in $X_n$ for all $n$. Then: $U$ is open in $X$ $\iff$ $X \setminus U$ is closed in $X$ $\iff (X \setminus U) \cap X_n$ is closed in $X_n$ for all $n$ $\iff$ $U \cap X_n$ is open in $X_n$ for all $n$. Suppose: $B$ is open in $X$ $\iff$ $B ...

Many people say entanglement is essential. For example, the answer to this question seems to say so Is entanglement necessary for quantum computation?. I understand that quantum encryption protocols are more secure if the qubits are not in a separable state. Otherwise, the qubits are confined in ...

I'm familiar with the grammar point ~といい~といい as shown here https://nihongokyoshi-net.com/2020/02/18/jlptn1-grammar-toii-toii/ However I've been encountering in native media a lot recently the use of only one ~といい in situations that seems to fit the ~といい~といい meaning, for example (context - guessin...

I inherited a flat bastard-style file that is smooth. What is the intended purpose of a file that doesn't abrade? Scale is in inches. Location: Canada.

In Oxford Learner's Dictionary I found the following example sentence: the school had no one by his name on its roll. The preposition by seems odd here and I would expect "with" instead. Searching across all the sense of the preposition by, I still couldn't find any suitable candidate to plug i...

I'm working on QGIS with SpatiaLite layers. The geometry of the layer I'm working with is of type "Multigeometry." When I attempt to merge several multipart polygons, I sometimes encounter an error message: Unable to validate changes to HABITATS_POLY layer Errors: ERROR: 6 entities not added - g...

We have a SQL file dumped from PostgreSQL v10 by the following command locally on the host: pg_dump \ "postgres://db_user:db_pass@localhost:5432/database" \ --file "pgsql-dump-v10.sql" \ --format=p --no-owner --no-privileges We copied the dump file to another PostgreSQL of v16, and importe...

I want to convert a GeoJSON file below into a KML file. I tired with ogr2ogr but it changed the original Boolean field into an integer field. >ogr2ogr --version GDAL 3.4.1, released 2021/12/27 >ogr2ogr -f KML test.kml test.geojson Is there any way to avoid it? Input GeoJSON { "type": "FeatureCo...

I'd like to add options to a listing function to make them more comprehensive. These include: Setting left/right delimiters (using a delims key; example would be delims = \lbrace\rbrace which sets {...} outside my list) Setting the delimiter size (using a delim-size key; example would be delim-s...

I'm very interested in the current TikTok refugee wave, therefore I read this thread on X this morning: [Chinese girl] - Is it true that Americans have to work two jobs to survive? doge] [American A] - Yes [American B] - I work 84 hrs a week [American C] - Lots of us I'm working two right now an...

I want to know whether a string, or token, is either a dash or an underscore. I thought that this would be easy using \tl_if_in:nnTF or str_if_in:nnTF, but both fail. Why do all of the following tests return no? \documentclass{article} \parindent=0pt \begin{document} \ExplSyntaxOn \tl_set:Nn \l_t...

So I was trying Microsoft Copilot and it blocked a prompt asking to write a character template based on Diluc from the video game Genshin Impact. When I asked why it was blocked it's because of intellectual property infringement. Is this just a private policy implemented by Microsoft, or they are...

The question is as follows: Consider the situation shown in figure (12-E10). Show that if the blocks are displaced slightly in opposite directions and released, they will execute simple harmonic motion. Calculate the time period. In the solution to this question, a presumption has been made th...

My question is as it is written. Do protestants view the Reformation as primarily religious and theological or do they go into more sociological and historic detail? If so which details and to what degree? I think church history is something christians should know, so I am curious about the prot...

During the update of the Cytoscape 3.10.3, I'm in trouble with Java. When I installed the Cytoscape and started the program, I always saw this error message. To solve this problem, I installed the OpenJDK from the adoptium and set the system variable. (The value of the system variable: C:\Users\...

There is an AC representation of PI controller from the manual in the link. I know that a controller is being tested in the time domain. Could you recommend me a test so I could the exactly form the time domain what "P" coefficient I have and what "I" coefficient I have in the PI controller? Upda...

I am trying to understand how the overcompleteness of coherent states, $$ I = \int\frac{d\alpha}{\pi}|\alpha\rangle\langle\alpha|, $$ is consistent with a non-vanishing overlap of coherent states, $$ \langle\alpha|\beta\rangle = \exp(-(|\alpha|^2+|\beta|^2 -2\alpha^*\beta)/2). $$ If I consider $$...

In the Book "Introduction to Logic and its Philosophy", Peter Schotch wrote about what he calls the "loophole in definition of entailment", that a set of formulas Γ for which it is impossible for all formulas to be true on any value assignment entails everything, explode inferentially: The only ...

Motivation. When we try to construct a (pseudo-)random sequence $s:\newcommand{\N}{\mathbb{N}}\N\to\{0,1\}$ we often want $s$ itself, and some of its subsequences, to be normal. Question. Is there a computable binary sequence $s:\N\to\{0,1\}$ such that for every strictly increasing polynomial $p:...

If you as an individual customer have a contract with for example a mobile phone operator, some details of the contract are governed by the telecommunicatin law Telekommunikationsgesetz (TKG). Mobile phone operators have lots of different tariffs and which one would work best for a particular cus...

When looking at different animals, I realised that most animals that use their bites for slicing parts of their prey, like sharks or carcharodontosaurid dinosaurs, have many teeth because it makes it easier to cut. The natural conclusion of this is to have a continuous blade instead of teeth. Wha...

In Riemannian Geometry, Do Carmo gives a way of constructing Jacobi fields along $\gamma(t)$ with $J(0)=0$. But I'm confused with one step of computation. Let $\gamma:[0,a]\to M$ be a geodesic and let $J$ be a Jacobi field along $\gamma$ with $J(0)=0$. Put $\frac{DJ}{dt}(0)=w$ and $\gamma'(0)=v$...

This lady low-leveled a 20M MFM drive and turned it into a 32M RLL drive by switching the controller. First of all, this is amazing stage magic. If I had known about this, I would have sold RLL controllers with software to reformat them using a debug script to the controller ROM. But my question ...

SpaceX has been doing suborbital flights with Starship for a while now, and intends to conduct a second in-orbit engine re-light to demonstrate de-orbit capability. Blue Origin's New Glenn has flown once, and achieved orbit in that one flight, without having to demonstrate de-orbit capability. Wh...

How to define a \Equiv with four lines like \equiv with three lines? It's better to make \Equiv have the same width and height as \equiv. The following picture shows the appearance of \Equiv and \equiv.

rails 6.1.7.10 ruby 2.6.6. Just did a bundle update to 6.1.7.10 from 6.1.7.8 Now running the application I receive the following error: /home/cb/.gem/ruby/2.6.6/gems/activesupport-6.1.7.10/lib/active_support/logger_thread_safe_level.rb:16:in `module:LoggerThreadSafeLevel': uninitialized constant...

I've got a 2006 Mazda MPV that ran without oil for a few minutes and the engine locked up. The engine is noisy and weak but runs okish when cold. Once up to operating temp it visibly burns oil and will die at stop lights. Oil pressure is fine. My assessment without any actual testing is that ...

If two electron diffraction experiments are conducted under exactly the same conditions and are randomly stopped at the same time, will the results be completely identical? That is, will the diffraction patterns be exactly the same? What about interference experiments? Has anyone conducted such a...

I'm trying to make a gummy bear, but it keeps collapsing, not bouncing back. I've tried with a sphere object and it work just fine. What's wrong here?

Was Paul insighting that women should have their head covered with their hair as the covering or they should find something to cover their head with their hair when praying? Is it compulsory that irrespective of ones traditional or cultural practices, one ought to cover their head-hair? 3.Wha...

Let $k$ be a field and $G$ a reductive $k$-group. The Whitehead group of $G$ is defined as the quotient $$W(k,G) := G(k)/G(k)^+$$ where $G(k)^+$ is the subgroup of $G(k)$ generated by the $k$-rational elements of unipotent radicals of parabolic subgroups of $G$. As far as I know, the original mot...

A scene in the movie where the police were being made by a machine that gave them real tiny heads. I thought Stallone or Schwarzenegger was in the movie as the good guy. A futuristic SF movie.

Here is the video of AirPods Pro 2 randomly chiming https://youtube.com/shorts/Gl6EcS-xFjo?feature=share Please explain what this chime means and how to turn it off

During the past three years, I have held postdoctoral researcher positions at two universities. In my first position, I was informally informed that my salary was partially funded by a research group within the same university. In my second position, I worked on two EU Horizon 2020 projects. Howe...

I published two articles during my postdoctoral position while being salaried by the university department. My contract did not specify the funding source used to pay my salary. I was only informally informed that a research program led by another department from the same university partially fun...

I’m planning to purify caffeine by sublimation. The most common method appears to be: placing the crude product into a filter flask, securing a test tube on the neck with a vacuum adapter, applying a vacuum, adding ice to the tube and heating on the hot plate. One thing I’m somewhat worried about...

As the series starts, we're introduced to Devil fruits and we're informed that Luffy's devil fruit is Gomu Gomu no mi (Gum Gum Fruit). Red-haired Shanks himself tells Luffy that he has consumed a Devil Fruit. As the series moves forward, we're introduced to more devil fruits and types of Devil fr...

I am a high school graduate from Denmark, currently on a gap year exploring research opportunities. Recently, I attempted to add a professor in India (originally from Brazil) on LinkedIn, as I wanted to ask them to review for a journal. They accepted the connection request, said that I have an im...

[no answer needed, I found it while writing the question and will add it myself ...] I have a german text with hebrew paragraphs which in turns contains german footnotes. I get the right placement of the footnotes with the layout=footnotes key but punctuation and superscripts are wrongly places. ...

In quantum mechanical model of atom, orbitals of different shells overlap. For eg- 1s and 2s orbital have high probability density near nucleus. so if both are filled then there is a probability of finding atoms of 2s orbital in region of 1s orbital. Does it not contradict Paul's exclusion princi...

I am framing my basement with 2x4s and foam board. My plan is to glue 2" foam board to the CMU block walls, and then build 2x4 frames for wiring, rock wool, and to hold drywall. I have read that I should put a strip of foam under the bottom board of the frames - e.g. cut 2x8 length of 2" foam boa...

I'm attempting to build a DC inverter (NOT gate) circuit with NPN transistors that does not experience a voltage drop on its output. I have a basic understanding of electronics. In the Falstad Circuit Simulator, there is a built-in inverter circuit which behaves as I would expect it to. It prov...

Is it possible to make 1 IBMi (for example Development LPAR where the updates will be tested or YUM installation will be done by connecting to the internet) system as a key system where the update will be installed and tested. Upon successful testing in that system, this needs to be transferred t...

If I'm writing a paper to prove Theorem A and I need a specific lemma that I found out to be already proven as Theorem B in some source, should I cite it as a Theorem (as it was originally proposed) or can I cite it as a Lemma as I only need it as an intermediate step?

Suppose I have a histogram showing the number of students who have successfully finished $0, 1, 2, ..., n$ courses. The number of students is high, but the number of courses is low (e.g. 6). My null hypothesis $H_{0}$ is that a student's "aptitude" is a single real number having a normal distribu...

B"H Hashem tells Abraham that his children will be afflicted and subjugated, and afterwards go out with great wealth. Rashi says that they shouldn't say that Hashem only fulfilled the promise of being afflicted, but not the promise of going out with great wealth. It seems like the wealth is conne...

I am reading through the initialisation sequence of the SSD1306 - this diagram is on page 64: I will use I2C to implement this protocol. There are a few cells which are a little ambiguous which I was hoping someone here know a little about - for instance: Set MUX Ratio A8h, 3Fh: what is the 3F...

In a physics problem, I encountered the following integral: $$\int_{0}^{\infty} x^{m+1}e^{-\alpha x^{2}}L_{n}^{m}(2\alpha x^2)J_{m}(\gamma x)dx.$$ I noticed that in Integrals and Series by A.P. Prudnikov, Yu.A. Brychkov, and O. I. Marichev (e.g., on pages 2-461 or 2-474), there are similar integr...

I want to implement a custom enumeration list using the following code: \documentclass{article} % Create a custom list. In the actual project, the Alph will be made in small caps. \usepackage{enumitem} \newlist{variations}{enumerate}{2} \setlist[variations]{wide} \setlist[variations,1]{label=\Al...

Definition 1: A group $G$ is quasisimple if it is perfect (i.e., $G=[G,G]$, its derived subgroup) and $\operatorname{Inn}(G)$ is simple. NB: I know that $\operatorname{Inn}(G)\cong G/Z(G)$. Definition 2: A group $G$ is one-headed if it has a proper normal subgroup that contains every proper norm...

I've recently been offered an internship for under 90 days at a private company in Belgium. I want to ask whether I am able to work in Belgium as an intern for under 90 days based on my current Italian permit of stay (permesso di soggiorno) which was issued for me to study in Italy. I am a non-EU...

I'm working through the book The Musician's Guide to Aural Skills: Sight Singing, by Murphy, Phillips, Marvin, Clendenning (Third Edition), which in general I am finding to be excellent, but something strikes me as curious: At the end of Chapter 5, a short summary of each of the Dorian, Phrygian,...

My goal is to publish my Debian trixie source package somewhere. I attempted to dput it to my Launchpad PPA, but I got an email saying Unable to find distroseries: trixie Is there a way to fix it or are Launchpad PPAs for Ubuntu only?

In his latest book Heart of the Mountain, Larry Correia wrote a dedication: To George R.R. Martin. See? It's not that hard" This seems to be mocking George in the length it has taken to publish The Winds of Winter. Do Larry and George have a history together to explain why Larry would make suc...

21st century Earth is littered with portals leading to alternate Earths. For reasons, Earths that invent the internet or an analogous equivalent that allows instantaneous mass communication at a global scale has these portals suddenly appearing. A portal leading to a planet where every ocean is f...

The definition that I have for an unbiased estimator is: "A statistic used to estimate a parameter is an unbiased estimator if the mean of its sampling distribution is equal to the value of the parameter being estimated." I know how to determine whether or not a statistic is an unbiased estimator...

The Wikipedia article on Parker Solar Probe states "At its closest approach in 2024, its speed was 690,000 km/h (430,000 mph) or 191 km/s, which is 0.064% the speed of light. It is the fastest object ever built on Earth.” On the discussion page someone asked “Shouldn't the speed of the probe be e...

I know the ISS has a triple shield for protection from anything too small to track. But it's within the low earth orbit cloud of debris. I presume any kind of junk isn't an issue beyond low earth orbit. Is this true?