I have a MOSFET (JANSR2N7624U3) that I want to protect from a short circuit condition. Lets say the applied voltage will be 5 V over the duration of the short. From the SOA graph of the MOSFET, that means it can handle a single 50 A pulse for a maximum duration of 1ms. The nominal max current of ...

Given a simplicial graph $\Gamma$ and a family of finitely generated groups $\lbrace G_v\rbrace_{v\in V(\Gamma)}$ the graph product of groups $(\Gamma, \lbrace G_v\rbrace_{v\in V(\Gamma)})$ is the group generated by $\lbrace G_v\rbrace_{v\in V(\Gamma)}$ where we add commutator relations between $...

While reading about linear logic/linear type theory and the related categorical semantics, I got a bit confused about the required structure. The idea/motivation behind linear logic (especially viewed from the perspective of quantum information theory) is clear. One removes the contraction rule s...

In 2023, Trump told CNN: "If I'm president, I will have that war settled in one day, 24 hours." It's a claim he repeated several times. BBC The sentence was said when he wasn't a president. So, it is a sentence about an unreal situation in terms of English grammer. At school we were taught that...

After having done the somewhat humorous mistake of trying to calculate the time evolution of the time evolution operator itself by using the Heisenberg equation, I began asking myself, why this is actually not allowed. That this leads to nonsensical results is fairly straightforward, since $U$ an...

Suppose a president decided to pardon every white inmate in Federal prisons, while letting all other inmates remain incarcerated. (Not necessarily a reference to current events) This seems blatantly illegal, but what recourse would the remaining prisoners have? It seems like the only possibility ...

I would like to typeset the following diagram in TikzCD. The way I've been able to do this is with the following code. \documentclass{article} \usepackage{tikz-cd} \begin{document} \[ \begin{tikzcd} A \arrow[r, hookrightarrow] & C \arrow[r, hookleftarrow] & B \end{tikzcd} \] \end{document} H...

It's a puzzling line for over 20 years for me. The great mathematician A. N. Whitehead said in his "An Introduction to Mathematics"(1911) that: "Now, the first noticeable fact about arithmetic is that it applies to everything, to tastes and to sounds, to apples and to angels, to the ideas of the ...

My goal is to read luminance signals with a certain level of sensitivity (able to tell when an OLED screen is on or off) with at least a 1 kHz sampling rate. I am following this tutorial (https://outsidescience.wordpress.com/2012/11/03/diy-science-measuring-light-with-a-photodiode-ii/) on reading...

When I use mkfs.ext4 to /dev/loop18 I get this warning: 128-byte inodes cannot handle dates beyond 2038 and are deprecated Code: echo y | mkfs.ext4 /dev/loop18 Result: mke2fs 1.47.1 (20-May-2024) 128-byte inodes cannot handle dates beyond 2038 and are deprecated 64-bit filesystem support is no...

In my superhero team, dubbed the Bio-Enhanced Auxillary Strike Team, or BEAST, my charactars are government soldiers given bio-genetic formulas to transform them into humanoid animals that incorporate traits from a wide variety of species to make them as versitile and powerful as realistic biolog...

I'm designing a service to store secrets without relying on traditional mail-password system. I will describe this service to give a bit more context for my questions, at the end. secret The payload we want to store (encrypted) for the user (size limited) identifier A random value stored by the ...

I recall reading (or watching a pbs show about?) a book with humans and dragons. In its "normal" society, dragons are bred to be pets, and so the small and cute ones are kept. The not so cute ones are killed. Also, the dragon's blood is hot an acidic, but maybe not when they are freshly hatche...

Those who believe that Col 1:15 means that Jesus is the literal firstborn of creation and thus a creature naturally infer that, in Colossians 1:16, what the NIV translates as "For in him all things were created" should be understood as meaning "For in him all other things were created." A common ...

ConTeXt seems to be moving towards a more consistent markup-based approach. For example, ` and ' are no longer rendered as curly quotes by default, and instead quotations should be typeset using the \quote or \quotation commands. While I welcome this opinionated stance, I wonder what the "idiomatic"

2 Peter 2:2 ESV "And many will follow their sensuality, and because of them the way of truth will be blasphemed." [My emphasis] How might "the way of truth" here compare with "I am the way, and the truth" in John 14:6? In 2 Peter 2 the word "way" occurs three times: 2 Peter 2:2 "the way o...

I recall reading a spec-fic novel, prob back in the late 80s or early 90s, where all the male protagonists were gay by social convention, and talked about "manly love". But once a year or whatever, they had to report to a "breeding station" where all the women lived in some comfort and isolation,...

I have a custom field that is of type Link. This is used on cases to record a link to external document on Microsoft SharePoint. We now have two issues when we try and store some recent URLs that are very long (+300 chars): I cannot get webform fields UI to accept these links as they get trunca...

Suppose we take the viewpoint that the right category for measure theory is the category of measurable locales or equivalently, the opposite category of the category of commutative Von Neumann algebras, as advocated for example here: https://mathoverflow.net/a/49542/76299 The Lebesgue-Algebra on ...

For a compact Riemann surface $\Sigma$, we denote $\text{Jac}(\Sigma)$ be its Jacobian, i.e. $$ \text{Jac}(\Sigma) := H^{1,0}(\Sigma)^{*}/H_{1}(\Sigma,\mathbb{Z}). $$ Denote $\text{Pic}_d(\Sigma)$ be the Picard group of degree $d$, i.e. $\text{Pic}_d(\Sigma)$ consists all the equivalent classes o...

I know mystery novels focus on unraveling a puzzle and something unsolved, and that thrillers are more about heightened excitement and suspense. I'm curious what the difference in pacing is. If you have written/read for either or both genres, what have you noticed? How have you approached it?

I live in a 1926 co-op building in PNW USA (3 stories + partially underground ground level) with radiator heat served by a gas boiler. The attic insulation is pretty minimal. We can get some money from the city to pay for insulation. As far as I know the attic is moderately well sealed from the t...

In the English language, it seems to be the case that, due to the Norman yoke, the norm is that animals have Germanic names, whereas the corresponding meats have Romanic names. E.g., cow–beef, sheep–mutton, etc. I am looking for exceptions to this rule in which the reverse is the case, i.e., an a...

In several Catholic churches online, I have seen grilles used in large sections of the side walls. These are obviously not gates as they could not be opened. I was thinking it might be a "window grille" but had some doubts since they extend to the floor of the church. I tried searching for the sp...

I have an application (Bandsaw) where I need to start a 115Vac motor with a momentary push button through a relay (Heavy duty 25A) and then when the cut is finished it will hit a limit switch and reset the relay and turn off the motor. The push button I have is a NO/NC single pole, the relay is a...

So I am going through sentences in a children's book about particles. The word "wind," or 風 is used for each particle. Here is where I have a question; refer to the sentence at the bottom left: My Understanding of the First So, if this were the conditional と, and ignore the use of quotation, thi...

I have a PLL that is meant to synchronize a VCO to a reference signal, but the VCO is 90 degrees out of phase with the reference. How can I fix this to be precisely in sync with the reference signal?

As a DIY work, I want to install a utility sink. How should I connect to drain? Can I just connect to the available threaded port. If so, what adapter should I use?

I am running a Node.js application inside a Docker container, and I'm using Axios to make HTTP requests to an external API. The same request works fine when running the app on my local machine, but when I try to make the request from inside the Docker container, I get the following error: AxiosEr...

I'm curious (with the ease that presidents can undo EOs of predecessors): what's the longest period of time that an Executive Order was standing before being revoked by (another) president?

My understanding is that a great circle is a "straight line" in spherical geometry, meaning that if I point my aircraft in some direction and rip the yoke off (metaphorically speaking) I will travel in a great circle. However some stuff on you-tube suggests that pilots have to continuously turn t...

I want to find the maximum (or a relatively tight upper bound on the maximum) of $$\sum_{i = 1}^n \arccos(x_i) - \arccos(y_i)$$ subject to the constraint that $x_1 + \dots + x_n = y_1 + \dots + y_n$. From simulations, it seems like a maximum occurs at $$(x_1, \dots, x_n) = \left(-1, -1, \dots, -1...

Dissect the following shape into as few pieces as possible so that those pieces can be reassembled (without rotations or reflections) into a square. Attribution: This puzzle is a slight variant of the puzzle found at: https://www.scientificamerican.com/game/math-puzzle-build-square/

My question concerns two plates from the manga Sunny (volume 1, pages 108 and 109). This text is interesting for its use of typical Kansai dialect forms (e.g. おる=いる). Context: Haruo (a boy) and Megumu (a girl) are two teenagers living in an orphanage. Haruo has gone down into a river and Megumu ...

[Act 2:2-3 NET] [2] Suddenly a sound like a violent wind blowing came from heaven and filled the entire house where they were sitting. [3] And tongues spreading out like a fire appeared to them and came to rest on each one of them. [Heb 1:7 NET] [7] And he says of the angels, "He makes his ang...

In quantum mechanics, and specifically in quantum entanglement, two particles that are at a huge distance from each other, can be correlated in their spins. For example, they can be inverse correlated, such that if one particle is measured to be a positive spin, the other is negative. Einstein pr...

With the recent shutdown of the NIH (essentially) due to slashes in government funding, and other changes that affect the NSF, I was wondering if post-doctoral research fellowships through the NSF are going to be affected. I am particularly interested in the Mathematical Sciences Postdoctoral Res...

Let x = e1/e. Which of these values is larger? e or 2x Calculators or computers are not allowed.

This is more of a "is it technically possible" sort of question so here it goes! I'm envisioning Earth with an orbital ring roughly 2,000 km from the surface attached by a series of tethers/spokes (lets assume four spaced evenly across the globe) in which passengers and cargo are transported to L...

My Understand of VLAN's Purpose Say you manage network for a building which leases each floor to a company. You want to separate each company on each floor to its own LAN network for better security but you don't want to have separate cable lines and switches. This is when VLAN is useful. Another...

Due to recent entrust cert authority issues, certificates issued by entrust are now signed by ssl.com root certificates. This new root is not especially old (valid since 2022) and we've found a few clients with security appliances (and java keystores and the like) that don't have it in their trus...

This problem is very relevant to games and real-time simulations but it may have broader applications. It seems inherently difficult to solve. The problem: Imagine that you have a large buffer of data, maybe 50 to 100 mb (far more than the processor cache can hold at once). The buffer contains ma...

If there is a transcendental optimizer so that the weights parameter always leads to a global minimum. Does that mean it leads to overfitting? If so, I think it will be an extremely overfitting case where it learns strictly from the training dataset. If we look at another perspective, we can say ...

-- Hints inside -- The answer is 1 word. Text version: O G E A R J O A Y C R N H I C C O L O N E O L A Y L C R O I T E I S H T R T I E D H H E S W O L T D I S S H A I L R O I N R R P I G E E C R G Y T N E S S T O M I H G O E E R N T H H I I B G N N T G

In Linux, the RDRAND instruction is used, but taken with a grain of salt, in that it is used as only one of several sources of entropy for a CSPRNG. It is used in this way over concerns that the instruction can be backdoored by the NSA. One of my teammates criticizes this, and argues that if the ...

I asked a question just last night and got a lot of wonderful help, but unfortunately I think I've created a monster of myself because I'm not going down a rabbit hole of 5e ability score generation methods. I'd like to devise a spin on 3d6, or potentially 4d6dl, that eliminates 3s and 18s, but s...

I was trying to understand SelectKBest of Scikit-Learn package. It gives a score for each of the predictor variables (both with f_classif and f_regression). However, this does not appear to be F-score (harmonic mean of precision and recall) as it is often more than 1 (sometimes more than 1000). W...

Introduction I've run into the following problem in a game that I'm GMing: The players are well-optimized 13th- and 14th-level PCs with powerful equipment. They're considering attacking a large fort of maybe 200 or so 6th-8th defenders, with ~5 strong leaders of level 10-15. While the fort has so...

I have a team of superheroes I call the Bio-Enhanced Auxillary Strike Team, or BEAST. They're all military soldiers enhanced with bio-engineered formulas to give them animals powers. Each is themed around a specific type of animal, but incorporates traits from creatures all across the animal king...

ok, I'm completely confused I cannot find the model in the collections? I've disabled absolutely everything but as you can see the model is visible and selectable? How do I get it back in ViewLayer panel???

Consider the following examples: Imagine a Christian mother driving her car with her children in the back seats when suddenly, they are surrounded by robbers intent on stealing everything and possibly harming her kids. In such a terrifying situation, would it make sense for her to pray for angeli...

Suppose $f:\mathbb{Q}\cap[0,1]\to\mathbb{Q}\cap[0,1]$, where $f(p/q)=(p+q)/(pq)$ for integers $p$ and $q$. Question: How do we find the maximum times a non-vertical line with a fixed slope can intersect with $f$? I don't think we can solve this using code; however, I decided to graph a sample of ...

I was on YouTube watching an Ultimate Avengers clip. In this clip, Hulk lifts Stormbreaker. How is this feasible? The same logic can be applied to Mjolnir: Can Hulk lift it?

What arguments does buddhism have to hold that consciousness is dependently originated when majority of non-buddhist philosophies/theologies hold consciousness/soul to be immutable/unchanging, without any origin and independent of matter and external factors?

I was looking at some thermistors, KTY81 in particular, and I was wondering why there are so many minor variances between them. For example, a KTY81/221 has R25 resistance range of 1960 to 2000 ohms. But a KTY81/210 has an R25 resistance range of 1980 to 2020 ohms. All other specs are the same....

I booked my ticket for Feb 22 before applying for Indian evisa and put estimated date of Feb 20 for evisa. Now evisa is granted but it says that my first entry must be on or before Feb 21. Can I request change of date from Indian authorities?

The Ishgas are a thalassocracy centered around their ecumenopolis homeworld of the same name, similar to Coruscant from Star Wars. Their technology level is an odd mix of Star Wars (FTL spaceships, FTL comms, highly advanced cloning/biotech, turbolasers as heavy artillery, deflector shields, arti...

Computer science legend Donald Knuth offered this puzzle at the 29th International Puzzle Party in San Francisco in August 2009. It’s a partially completed Latin square: The challenge is to place letters in the remaining cells so that each row and column contains the same five letters and in the...

I'm having trouble importing a CSV file as a points layer. I have done this many times in the past but I think some setting has changed. QGIS no longer autodetects the appropriate x/y fields, and even if I choose them, it adds it as a table and not a point layer. I have two types of CSVs. One wor...

I just realized using sapply(df, sum) is faster than base::colSums(df). Also when using a matrix base::colSums(M). Why? Did I miss something? Was it always like this? Benchmark Results of a benchmark on a 10K×10K data frame: $ Rscript --vanilla speed_test.R Unit: milliseconds expr mi...

When I do ps -e --forest, I have the following output: Also, when I do htop, However, when I do chrome, which chrome, or type chrome, they don't work as expected... I get the odd behaviour for most of them: 1. Command 'chrome' not found, did you mean: command 'chroma' from deb golang-chroma...

I want to put the following question in a worksheet for Grade 1 students: By how much does the number of children who brought roses exceed the number of children who brought daisies? But this phrasing is a bit difficult to comprehend. Can you suggest any other simpler phrasing for Grade 1 learner...

Every string can be split into substrings that are all palindromes quite easily. For example, "abab" can be split into the palindromes ["a","b","a","b"]. But sometimes, there is a way to do this using fewer palindromes: ["aba", "b"]. This is a splitting with the minimum possible number of palindr...

Is there a metric space $Q$ with the property that for all metric spaces $X$ and two distinct points $a,b \in X$ there is a non-expansive map $f : X \to Q$ with $f(a) \neq f(b)$? In terms of category theory: Does the category $\mathbf{Met}$ of metric spaces with non-expansive maps have a cogenera...

Given: Emacs 28.1 I have two monitors. M-x make-frame-on-monitor I select "DISPLAY2" and new frame open in the second monitor. Nice. But I want to do this when Emacs is launch. I init.el I try smt like this, but new frame is not open in the second monitor. (add-hook 'after-init-hook #'make-fram...

I need to limit the number of cards displayed in the layout response of a card carousel and sort it by the most recent one first. Can I do this in Sitecore without making any code changes?

From what I gather it means that what it material is often processes, though to me those processes seem to involve materials so I'm not entirely sure how that one shakes out. I've tried to get it but couldn't really understand. Is it similar to systems theory in that it's about looking at the int...

I went through a brief period of watching martial arts movies recommended by a friend. I remember watching one that was live action (not animated) and I think was Chinese (I know I watched it with subtitles). I don't remember much about it other than the main hero dies at the end (but that doesn'...

Note: I created this question. As an example, $1948$ and $1948_{12}$ have the same calendar, as they are both leap years that starts on Thursday. When is the next leap year such that leap year and (leap year)$_{12}$ have the same calendar?

Inspired by the post, $$\int_0^{\pi/2} \cot x \ln(\sec x) dx= \frac{\pi^2}{24}, $$ I want to generalise it as: $$ \int_0^\theta \cot x \ln (\sec x) d x=-\frac{1}{8}\left(2\operatorname{Li_2}(-\tan^2 \theta)+ \ln^2 (\sec^2 \theta )\right) $$ $$ \begin{aligned} \int_0^\theta \cot x \ln (\sec x) ...

It connects two PCBs together without connector. What is this called? What keyword can I search for? Can this be done do by an automatic process like wave soldering or selective soldering machine?

My "nephew" (my partner's sister's son) has graduated from college and has recently started working. This will be the 17th year that I've given him a red envelope, and I'd like to convey in a few words that I'm happy he's grown to an adult and is on his own now, and that this means he doesn't nee...

I'm facing a problem that I currently can't understand and hope someone can help me. A quick look for the question on the Internet gave answers that didn't work for me. Let me explain the situation: I am a Windows guy playing with Linux VM using Hyper-V. I just set up a Debian 12 netinstall with...

As many other, I've got a great idea to charge batteries via USB-PD powersource. I've bought a few triggerboards which allows me to select appropriate voltage. Current is limited to appropriate value, about 1A, via wire resistance, so I don't have to worry about that. The only issue is, that if ...

In another question, I implied that an application can check the Origin request header to determine where the request is from. I was under the assumption that the browser sets this to the origin of the domain the request originates from, and that this cannot be influenced by the website that perf...

Suppose because of some serious societal and legal repercussions one cannot officially convert to Judaism but s/he performs all of his/her actions based on the torah/talmud, apart from the fact that, because s/he didn't convert to Judaism officially, and has not renounced his/her current faith, (...

I have a table with two multicolumns: \documentclass[fontsize=12pt]{scrreprt} \usepackage{tabularx} \begin{document} \begin{table}[h!] \centering \begin{tabularx}{\textwidth}{|c|X|} \hline \multicolumn{2}{|l|}{\textbf{Header}} \\ \hline \hline \textit{Nr.} & \textit{Text} \\ \hline \hline \mu...

So I recently watched the very interesting Veritasium video (https://www.youtube.com/watch?v=H6q6pYZ9Fho), in it, it mentioned that as objects got smaller they got a higher surface area to volume ratio and they mentioned two examples, a cube of 10cm width and one of 1cm width: Cube 1 Surface Area...

Here is the definition of a ($k$-tape) Turing machine from Arora and Barak; everywhere else I've seen it has been effectively the same. A finite alphabet $\Gamma$ with distinguished $\square$ blank and $\triangleright$ start symbols A finite set of states $Q$ with distinguished $q_\text{start}$ ...

The PCB was found on an induction stove power control unit.

Midway through The Glass Bead Game the protagonist, Joesph Knecht, gains his own residence in which he enjoys spending time reading. Hesse describes it thus: The beech forests above Waldzell were already browning when Knecht one day took a little book with him into the Magister's garden adjoinin...

I’ve been thinking about the connection between entropy and intelligence, and I’m wondering if intelligence could be seen as a way to reduce the entropy of a system. Here’s what I mean: In nature, entropy tends to increase over time (second law of thermodynamics). But when we do something like bu...

I've a large linear shape coming from a batch service area elaboration that I need to "clean" in order to extract real start and end vertices in a new shape. When I try to extract specified vertices with indexes "0,1" the points returned are not on the real endpoints of a line but almost always o...

Imagine this: You’ve been in your new job for some months. You work closely with one colleague in a small team. However, this colleague has an unusually close relationship with your manager and reports nearly everything you do – whether it’s necessary or not. Examples of the behavior: You ask a ...

I am trying to make a horizontal tree diagram in which not all nodes are labelled. I have tried to adapt the code in Table right of horizontal forest but it leaves spaces in the unlabelled nodes. How can I remove them? \documentclass[12pt,a4paper]{report} \usepackage{forest} \begin{document} \be...

People say that mathematica is not as good as matlab for nunmerics. For my specific use case, I am trying to solve differential equations with the MatrixExp method to compute $e^M . v$ without computing the matrix $e^M$. This is done via the Krylov method, which is very efficient approximation. M...

I have to do DFT calculations (structural, vibrational and electronical structure) in this molecule. I would like to know the best software to do this task.

I'm teaching high school math, and in one of our books, in the section on linear sets of equations, it is mentioned that for the set $$ ax+by=c\\ dx+ey=f $$ the solution (assuming it's unique) is given by $$ x = \frac{ce-bf}{ae-bd}\quad \land \quad y = \frac{af-cd}{ae-bd} $$ The book then claims ...

On the internet I found this example "she is waiting for us somewhere along this street". I wonder if "somewhere" is necessary. Would it be also idiomatic to use the example which I presented without "somewhere"? Would the meaning change?

Query 1 and Query 2 share the same semantics, both involving the combination of the NOT and BETWEEN operators, with the evaluation of the BETWEEN expression being FALSE in both cases. However, Query 1 unexpectedly retrieves more null values than Query 2. Could this be a logical error? DROP TABLE ...

Why is the doctrine that a Christian subscribes to such as Trinitarianism, Unitarianism, Methodists, Baptists et cetera so important when someone like Abraham was justified on faith alone? God told him to leave and he did and it was accorded him righteousness: Genesis 15:6 Abraham believed the L...

I've read through similar questions, and I don’t think this one is a duplicate, but I’m not too sure. My Google Takeout shows activity from a Linux OS on a specific date and the IP address is my home's IP address. I do not have a Linux OS. What I do have is an ex husband who, if at all possible,...

Do reviewers tend to reject papers when they do not (fully) understand (parts) of it? Such as when parts of the paper are not within the reviewer's immediate field of expertise. Although somewhat unfair towards the authors, it would be the rational thing to do for a reviewer because otherwise the...

In the Space SE question Any updates on the purported space debris ring that fell near a remote village in Kenya? the NY Times cites the Kenya Space Agency. I went to the KSA's News and Updates page, and while I didn't find anything about the debris I found a link dated 17th September 2024 to Ken...

I want to convert mesh to uvmesh but with area preservation. The texttools uvmesh tools contain this logic: https://github.com/franMarz/TexTools-Blender/blob/master/op_meshtex_create.py Assuming that: Mesh is not distorted in UV All islands scale is averaged but I still couldn't figure it out.

If you google "how many windows does the ISS have", you get articles about the Cupola. If you search this site for that question, an answer doesn't immediately show up. There is a question about whether any windows point towards the zenith, but none of the answers enumerate all the windows. I thi...

Suppose you were making a game in Unity and one part of the game was to store a high score, just stored as an integer. One could store the high score in Unity's PlayerPrefs. Would it be bad practice to frequently change values in PlayerPrefs? For example, if a player has a previous high score of ...

I have confusion about the definition of a pullback on a differential form given to me in a course on complex analysis. Technically the definition in the frame of complex analysis made sense (in the definition below let $U\subset\mathbb R^d\ d(=1,2)$ and $N=\mathbb R^2$). However, having done a b...

I want to make a counter up to 500 using the 7447, but I have a problem with the displays. When I'm at number 10 (ten), I want "10" to appear and not "010". How can I connect them in cascade without losing the 0 of the units? Another thing that is happening to me in 102, for example instead of "...

I am trying to draw an egg here. I tried RevolutionPlot3D[1/30 Sqrt[7569 - 400 x^2], {x, -4.35, 4.35}, Boxed -> False, Axes -> False, RevolutionAxis -> {1, 0, 0}, PlotPoints -> 500, MaxRecursion -> 6, Mesh -> None, ColorFunction -> Function[{x, y, z}, Lighter[Orange, 0.5]], ColorFunctionS...