I had a discussion with a peer regarding a full wave rectifier. In case of full wave rectifier without centre tapping how would it behave. I argue that it wouldn't work at all as in each half cycle there will be a diode which will be in reverse bias to that current. My peer says that it will wor...

I recently used Migration Assistant to transfer my data to a new Mac. During the process, there was a message indicating that a few files didn’t transfer (which I don’t need). I was prompted to set a password for the account on the new Mac, but after completing the 12-hour transfer (I have a larg...

I downgraded my ubuntu 24.04 with custom kernel 6.12.6 to 6.8.0-51-generic, but i still have issue when $ sudo dpkg --configure -a Deleting module zfs-2.2.2 completely from the DKMS tree. Loading new zfs-2.2.2 DKMS files... Building for 6.8.0-51-generic 6.12.6 Building initial module for 6.8....

I just got handed the bass book for "Mean Girls" and many of the tunes have "[CLICK IN]" and "[CLICK OUT]" markings. What do they mean?

I need an online notepad with following features: Large text area with small fonts. I should be able to see at least 50 lines without having to scroll. Auto-save and login feature Very fast performance Either website or chrome extension is fine. No desktop application Bonus: Multiple tabs li...

"Alraune" is the German word for what in English is called the mandrake root. The "alraune" as a specific magical creature appears in several fantasy game systems, including the Shin Megami Tensei series, Castlevania, Disgaea and Pathfinder RPG. Castlevania adds an extra "u" to the name, apparent...

This might be a basic question, but I’ve been wondering: what happens if the GitHub account of a well-known open-source project is compromised? Could malicious code be added, or an unauthorized update be pushed to the software? Are there any security measures or best practices in place to prevent...

I saw part of a sci fi movie on paid cable around 1980. In the movie were space explorers on an alien planet where when they were outside, alone, a plant like creature would come up from the ground and burn or fry the explorers. The planet was desolate looking, like a desert. It looked rather low...

I sit at a desk for hours a day and this is not optional. I thought I'd get a little under desk bike or something to exercise a bit while I'm sitting and I purchased a under desk elliptical. I was surprised to see that this elliptical had a motor in it and it moves the paddles for me. I don't fee...

In my world, there is a race of sapient elephants, possessing human intelligence and about the size of African bush elephants. The tech level is around the Napoleonic era, so the robust bodies of the elephants aren't adequate to win battles by themselves. Assuming that they mainly fight a human e...

Let $X= \left \{ x_i:i∈N \right \}$ be a countable set. Let $X^{−1}$ be the set $\left \{ x^{−1}_i:i∈N\right \}$. Here one is to understand $x^{−1}_i$ as a notation for an element of this other set. Let $G(X)$ be the set of words in X and $X^{−1}$. That is, the elements in G(X) are strings of ele...

Every finitary algebraic category* is well-powered, simply because the monomorphisms are precisely the injective homomorphisms. Unfortunately, epimorphisms in the sense of category theory are not so easy to understand or classify. As a consequence, it is not immediate why every finitary algebraic...

Category theory can be seen as foundational theory of mathematics since it brings together different subdomains and gives a more abstract and general framework to "ground" those subdomains. I've only recently started to study this, and I wonder what the philosophical impact is of accepting catego...

The lower part of one of my garage doors often gets wet due to splashes from water dripping on puddles outside, and the lower part of the door where one of the metal brackets with a roller attaches is rotted. I've started to look into it, and there aren't good options to only replace that one pan...

i'm a beginner at photoshop but i have this picture, i need to clean up. the hands look unrealistic and blurry and the hair, they're gaps in the hair that need to be erased. any tutorials would be helpful, thanks!

The question I was originally trying to solve is: $$ S_1 = \lim_{n \to \infty} \sqrt[n+1]{(n+1)!} - \sqrt[n]{n!}. $$ I approached this using Stirling's approximation for factorials, which is valid because the approximation is asymptotically equivalent as $n \to \infty$. Specifically, we know: $$ ...

After a freeze, my Hyundai Santa Fe begins to have a clicking noise when the AC system is set to internal circulation. View the symptom here What's the problem with my vehicle?

I am a PhD student in CS. Recently my paper was accepted to a top conference and I've already arranged everything. The camera-ready version, the travel to the conference, the presentation, etc. The conference is approaching in less than two weeks and everything looks perfect. Last week I decided ...

I am writing a paper with two co-authors. I am the main author, who got the original idea. I would like to ask in what order I should list my co-authors. The thing is that I started with one co-author, who helped me with a minor part of the paper, but then we got stuck and the paper was archieved...

I wanna shatter/fracture an object, but I just want it to fracture the faces, and not add any geometry to make these faces look like physical objects. I basically need the same results as you'd get with using the knife tool. Doing this manually will just take an unnecessary amount of time. How to...

With the database setup CREATE TYPE dbo.TableType AS TABLE ( prop1 int, prop2 datetime2, prop3 varchar(1000) ); GO CREATE OR ALTER PROC dbo.TestTableTypePerf @Data dbo.TableType READONLY AS SELECT COUNT(*) FROM @Data; The following code passes the TVP values in a streaming fashion. The enum...

How old was King David when he took Bathsheba? Was her father one of David’s mighty men?

$$\frac{dy}{dx}=\frac{3x^5+3x^2y^2}{2x^3y-2y^3}$$ For the first one, I tried variable separable, Bernoulli but failed. Then I wanted to substitute $y=vx$ since there is a pattern in the powers but that also seems to be of no use. I consider using concepts of exact differential equations but findi...

I'm trying to configure a vhost to work with a proxy, but only if the request is not for a static file -- in which case I'd like Apache to serve it. Here's what I'm using: <VirtualHost *:80> ServerName app.local DocumentRoot "/app/static" # Serve static files <Directory "/app/static

Assuming SQL Server 2022 Standard Edition on Windows, I simply cannot see any benefits to using Basic Availability Groups instead of Database Mirroring. Is there anything offered by Basic Availability Groups but not Database Mirroring? In both cases: You can only have 1 primary and 1 secondary T...

Can anyone help me identify this connector, it is used for AC power on a Vestax PDX 3000 Mk II Turntable: It is similar to a 3 pin JST with the middle pin removed. Dimensions are around 12mm width, 14mm length, 8mm height excluding the clip.

I have been trying to learn about wiring diagrams but I'm unable to find a good source of information on what the symbols means, most websites show slightly different symbols for the same thing so I'm usually able to conclude which one it is, but for the symbol that is a dot and a half circle ar...

Let $M$ be a connected real manifold and let $N \subset M$ be a submanifold (possibly closed). I believe that if $\operatorname{codim}(N) > 2$ then $\pi_1(M) \cong \pi_1(M - N)$, but I've never found a reference. (Unfortunately, I'm not a topologist, so I'm unsure whether such a result is true or...

Motivation I want to have inline tikz figures in my document. Creating a tikzpicture environment at the required location within the sentence does the job perfectly. However, I'm required to have all my figures collected into a separate document, a pdf file, and have them imported into the main ....

Begotten means "to have been fathered or brought forth. It's the past participle of the verb "beget', which means to produce offspring." In the Bible, "eternal generation" is the doctrine that God the Father eternally created the Son by sharing his divine essence with him." The Son is equal to th...

I know that each water molecule is bonded to to four other water molecules, and that one hydrogen atom is shared between any two oxygen atoms, and that this results in a tetrahedral unit cell. However from this I do not see how it is possible to deduce that, when in an ice lattice, why deach wate...

Alice has 15 boxes containing 1,2,3…15 balls respectively. Bob may choose any subset of these boxes and take the same number of balls from each box. Can he empty the boxes in fewer than five moves? For example, a possible set of moves is.. First move: He takes 5 balls each from boxes 7,8,9, 11 a...

Recently, there has been quite a bit of uproar in the news about the citizenship (or lack thereof) of illegal immigrants' children born in the United States.1 Presuming that the courts decide that illegal immigrants' post-migration children are born subject to the jurisdiction of the United State...

I'm trying to recall the name of a book I had a long time ago, it was part of a trilogy but I only had the one, it was about a man that was exiled from his people who sheltered in two fortresses, he travelled and met and befriended two tribes, I think one was river based, one was plains or forest...

I have been investigating commutative, associative magmas in an ad hoc way for the past few days and was curious about idempontent-free magmas. The magma $(\mathbb{Z}_{\ge 1}, +)$ is idempotent-free, but I couldn't think of any finite examples. Then I tried to prove that it was impossible and cam...

I don't know much about how fluorescent fixtures work, but I have an old fixture from an arcade game that I'm trying to get working and it has what looks like a transformer except it only has two wires going into it and a ground, and it doesn't seem to have a ballast. Though I have never been ful...

My ESXi 8 virtual machine files are kept on a separate storage-only (Synology NAS) host using an NFS share. On that storage host I need a way to detect if a virtual machine is running (to prevent a particular script from interfering with the files in that VM's directory). Is there a way to tell ...

So, one thing has been bugging me for a while. Blender has the Attribute Statistic node, but it only works with single values, never with field values: But what if I want to get grouped statistics, say by mesh island? Some nodes have a Group ID socket that allow you to do that, like the "Accumul...

I'm working on a custom python exporter for a third party software, this software uses the rotation mode YXZ. I'm having issues with the conversion, here is an example: Input euler degrees (ZYX): [x: 119.878, y: -11.9565, z: 138.127] Expected output (degrees YXZ): [ x: -45.6056844, y: 134.15615,...

I have a copy of a flight ticket from Mexico City,Mexico to Louisiana Armstrong International Airport 0572329319657 Leaving Mexico City Tony James is the person of interest. How can I find out if the ticket is legit?

I have one server in my network with two shares. I want to add two network drives in Windows 11 for those shares, all for the same server user. The first mapping works perfectly I'm mapping the first share in Explorer like so: When I reboot now, the drive is disconnected since I did not sto...

I would like to check if two matrices $A$ and $B$ are similar and, if they are, determine the matrix $M$ such that $A = M B M^{-1}$. It seems like the simplest way to do this would be to check if their Jordan normal forms agree, using something like the function below: CheckSimilarity[matrix1_, m...

In the film the Golden Child, Chandler Jarrell is searching for a missing teenage girl who is found murdered. Some point after this, somebody calls Chandler late at night to tell him the caller had seen the girl held captive by the Yellow Dragon biker gang before she died- however in all my viewi...

I see that Kubuntu refuses to create one-letter hostnames: Your hostname is too short. Why? Is that a security issue, a potential name overlap concern, or something else?

Recently I had a pinhole leak in my copper 3/4" hot water line. A plumber replaced that section of pipe but today I decided to examine the whole length of the line. I found some corroded copper pipe hangers at various points on the line, but also in some places I found some isolated greenish do...

I recently saw this on the APA 7th manual, saying, "An exception to the prohibition against self-plagiarism is publishing a work of limited circulation in a venue of wider circulation. For example, authors may publish their doctoral dissertation or master’s thesis in whole or in part in one or mo...

I bought this RJ45 to USB cable: USB to RJ45 Console Cable RS232 Serial Adapter for Laptop Computer Cisco Router USB RJ 45 8P8C Converter Console Cable 1.8m 3m. I connected one side of the cable to the USB port of my laptop, and the other side to one of the four LAN ports of the router. I expect...

What are the valid reasons for which wife can refuse to be intimate with her husband? Is "not in the mood" or not wanting to do a valid reason?

Let $X$ and $Y$ be real-valued random variables with joint density $f_{X, Y}$. Is the following a sufficient condition for their independence? There exist function $g, h$ such that $$ f_{X, Y}(x, y) = g(x)h(y) $$ where g does not depend on $y$ and $h$ does not depend on $x$. (Of course, this is...

Are data diodes resistant to side-channel attacks? For example, can hackers infer secret data from another computer by analyzing the signal of the data diode?　 Assume that a Faraday cage isolates each computer, and all secret channels other than the diode are blocked. Article related to this topic:

I was reflecting on M'ress, the Catian lieutenant serving aboard the Enterprise as shown in ST:The Animated Series. She was often depicted as having a tail (see image below), as were the similarly catlike Kzinti from The Animated Series. I got to thinking to myself "Why do Catians and Kzinti get ...

Why didn't the attempt to prohibit meat after the Churban succeed? Were there attempts to outlaw consumption of meat after both Churbans? If so, what were reasons they did not succeed in each case?

Want to change the format of a table similar to shown in the attached figure. Following is the existing code \documentclass[a4paper,conference]{IEEEtran} \usepackage{subcaption} \begin{document} \begin{table} \centering \caption{Results} \begin{tabular}{||c c c c c||} \hline Model & MAE & RMSE

LuaTeX's manual says 10.7.1 set_program_name and new The way the library looks up variables is driven by the texmf.cmf file where the currently set program name acts as filter. ... Before the search library can be used at all, its database has to be initialized. ... First, when LuaTeX is used to...

The common wisdom seems to be that the most probable impact angle for a meteorite is 45 degrees. The Wikipedia "Impact Events" article says, "The most probable impact angle is 45 degrees." It cites the Earth Impact Effects Program, which also says The impact angle is measured from a plane tangen...

What thread prep should be done for a new BB-RS500? I've come across a few things that seem to be conflicting, eg. Apply grease or anti seize unless the BB comes with factory thread lock Apply blue loctite if there is no factory thread lock Do not apply grease and threadlock Shimano's Manual,...

So the ideas for my galactic empire is, the FTL travels among the planets are connected by the system of artificial wormhole gates that make an interstellar highway system where the routes are fixed between two wormhole gates The question is, why would they even travel in starships if they can ju...

I was asked to translate the English sentence I throw fish onto the floor. into Latin in Duolingo. I answered Piscem in pavimentum iacio. But the correct answer was Pisces in pavimentum iacio. I think using 'piscem' is correct. What am I mistaken?

I have a Mac Mini M2 running Sequioa and want to move/delete a contact from groups. I am sure I have done in the past, but can't seem to get it working. There is a Remove from group menu, but it is greyed. On my iPhone there are options to Add to List but not on the Mac.

Well my custom built road/commuter bike of 20 years was stolen and now I am looking at a new one. I'd like a carbon fibre as it's lighter and I might consider entering some cycling events. However 99% of the time I am commuting with my work bag in the bag. Could I get a carbon fibre bike and moun...

I am trying to create my own 2-pass table of contents implementation like LaTeX but I am using just plain TeX (technically LuaTeX). Though I am having some problems with the intermediate macros I am trying to create to help me with this. Mainly detecting if a contents.toc file has been created or...

Let $\mathcal{A}:=\{A_i\subset X:i\in I\}$ be a collection of subsets of a set $X$. We care about those pairs $A_{i_1}, A_{i_2}\in \mathcal{A}$ s.t. there are finitely many $A_{j_1}, \cdots, A_{j_n}\in \mathcal{A}$ "connecting" $A_{i_1}$ and $A_{i_2}$, in the sense that, $A_{i_1}\cap A_{j_1}\neq ...

Suppose we have a symmetric monoidal stable presentable category with colimit preserving tensor, i.e. $\mathcal{C}\in \operatorname{CAlg}(\mathrm{Pr}^L_\mathrm{st})$. In particular, we have a map $$m : \mathcal{C}\otimes\mathcal{C}\to\mathcal{C}$$ classifying the tensor product on $\mathcal{C}$. ...

This is the follow-up question of my previous question Want to add elements in the table shown in the red color in the attached Figure Please obtain the code from the previous question.

In the "The Volatility Surface: A Practitioner's Guide" book by Jim Gatheral, there's chart, comparing 'Empirical Volatility Surface' (upper) vs 'Heston Fit' (lower). Comparison of the empirical SPX implied volatility surface with the Heston fit as of September 15, 2005. From the two views pres...

BH I heard in a lecture by David Fink that if one were to say an oath to someone else, intending to bind that person to the oath, and that person agreed to the oath simply by saying "yes", he would be bound by the oath. However, if an oath was said to someone else, e.g. "I hereby swear upon so-an...

I have a Windows machine with several network interface. I want to check which interface the traffic for a given IP address is routed through. I can manually simulate the routing table rule selection logic in my head, but - I want to be certain. How can I tell which rule Windows is actually using...

How can I expand \files from \sys_get_query to get it as a csv list? up-to-date TL2024. \documentclass{article} \usepackage{l3sys-query} \begin{document} \ExplSyntaxOn \def\files{foo.bar,foo.baz}% no problem %\sys_get_query:nnN{ls}{*}{\files} % doesn't work \clist_map_inline:Nn { \files } {...

In a previous question, I gave an example of a Block-party puzzle. For the purposes of this question, I will define a Block-party puzzle as follows: The puzzle creator starts with an nxn grid and tiles it with connected polyominoes so that there is a unique solution according to the Block-party r...

If I train an autoencoder until it's overfit from the training set, doesn't it mean it's good? I mean, since it learns the entire training set (which is considered non-anomalous), then when it meets the new data, it's supposed to be anomalous due to out of distribution?

I recently wanted to view the öbb-railway map on my laptop (an old Thinkapd W530). The problem was that it was extremly slow to load, zoom or pan this file using evince. I also tried mupdf with the same problem. Is there any other software I could use to make this work (or any other workaround).

I have a long list with sublists. The sublist again has subsublists, for example: Ev[[1]] = {{1, 19142, 902, -1, 0.0000369401, 0., 0., 0., 1.75273, 0.409607, 0.520489, 1.61932, 0, 35, 1.98756}, {1, 19142, 1, 1, 0., 0., 0., 0., 0.927078, -0.14695, 0.0755896, -0.0383376, 0, 35, 1.98756}, {1...

As I was thinking about possible entry points into permanent correction of wealth inequality, one of the common roadblocks is how convoluted, glacial, and inequitable the legal system seems to be, especially due to the corrupting influence of wealth (and associated power) that can "bully" a winni...

Problem Alice has an array of random EC points $P_{1},...,P_{n}$ (their logarithms are not known to Bob). She sends them to Bob. Bob multiplies them all by a secret number $x$, suffles them and sends the resulting array $Q_{1},...,Q_{n}$ back to Alice. Bob wants to proof that all the points were ...

MMA14.2 on win10, 64 ParallelTable[ Sin[ x y], {x, 2, 2, 0.001}, {y, -2, 2, 0.001}]; // AbsoluteTiming {1.56029, Null} MMA14.1 ParallelTable[ Sin[ x y], {x, 2, 2, 0.001}, {y, -2, 2, 0.001}]; // AbsoluteTiming {0.0143615, Null}

I want to find all distributions $\Lambda \in \mathcal{D}'(\mathbb{R})$ such that $\Lambda(f \ast g)= \Lambda(f)\Lambda(g)$. So in a manner of speaking those $\Lambda$ act like a homomorphism. This relation certainly rings a bell of the Gelfand representation of $L^1(\mathbb{R})$, which can be un...

In the last few years as I've begun watching more YouTube I've noticed many people saying "somewhat of a ". To my 57-year-old native Australian English speaker ears this sounds wrong. I've been thinking of it as an innovation made by Millennials or younger similar to "on accident" arriving by com...

I'm having troubles using unicode characters U+023A and U+A7CC. \documentclass[12pt,a4paper]{report} \usepackage[italian]{babel} \usepackage{fontspec} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \renewcommand{\baselinestretch}{1.5} \setmainfont{EB Garamond} %\setmainfont{Times New R...

I am working with a baseball dataset with 30,000 rows, each corresponding to one pitch. The dependent variable is UMP_MISTAKE (binary) with a value of zero meaning the umpire made a correct call and a value of one meaning an incorrect call. Approximately 11% of the values of UMP_MISTAKE are one...

This simple task of sorting a list of related RAR files of a split archive turned out to be more cumbersome than expected, since there are two versions of the RAR naming scheme, v3 and v5. v3 is like file.rar, file.r00, file.r01 (fixed two digit numbering, except for .rar which is the first part...

100% of all PC cooling fans from 90s to today, from 40mm to 200mm, from budget to most expensive high performance models, they all use thin blades. Why? Airplanes wings and propellers use more complex thick "airfoil" shapes. Wouldnt a thick airfoil shaped blades offer better airflow/static pressu...

Many online chess commentators use phrases like: The best move is takes. I will play castles next. These include an unnecessary third-person s, which sounds incorrect to me. Curiously, this seems to apply only to the verbs take and castle, not to other common chess terms like capture, push, or ...

Please consider the following MWE: \documentclass{scrartcl} \KOMAoptions{fontsize=10pt,DIV=16,parskip=full,captions=figurebelow} \begin{document} \section{Section} This is paragraph no. 1. { \begin{table}[h] \begin{tabular}{c c} Col1 & Col 2 \end{tabular} \end{table} } This is paragraph no. 2. ...

Currently, my x-axis displays 1-7 from left to right, and the y-axis also displays 1-7 from left to right. Now, I want the y-axis to display 1-7 from right to left instead. How should I modify the code? Simply changing the array in ticks to {1,2,3,4,5,6,7} did not work. Crosstalkx = {{0.01, 0.002...

Based on the User Manual of the FDC+ floppy disk controller card for the Altair 8800, you can configure the RAM and PROM over DIP switches. Board DIP Switches On the RAM switches you select the Start address (in my case 0), on the PROM switches you select the Start address and at the same time th...

For each $E\subset [0,1]$ measurable, I consider the sequence of probability measures $$P_N(E)=\frac{1}{2^N}\sum_{\{J|2J/N\in E\}}^{N/2}\frac{(2J+1)^2}{N+1}\binom{N+1}{N/2+J+1}.$$ Note that $P_N([0,1])=1$ since $2^N=\sum_{J=0}^{N/2}\frac{(2J+1)^2}{N+1}\binom{N+1}{N/2+J+1}.$ The coefficients defin...

The Kleene-Brouwer order $<_{KB}$ transforms a computable tree $T$ on $\omega^{< \omega}$ into a computable linear order (mapping infinite paths through $T$ into infinite descending sequences). What recursive linear orders are isomorphic to the Kleene-Brouwer order on some tree? Define as in [1]...

Say that something is said during a trial, and for whatever reason (an objection, irrelevant, etc.) the judge says that it should be stricken from the record, and the jury basically forget it. But then, during the jury's deliberation, a juror Jerry keeps bringing up what happened, bases his concl...

ハチ公前で広告ジャックした. The character is a publicist and is commenting his one the latest development. What exactly is a ジャック? Some kind of poster?

Given an alphabet size, \$n>0\$, and an occurrence limit, \$k>0\$, produce the number, \$a(n, k)\$, of strings that may be constructed from the \$n\$ letters in the alphabet which have no more than \$k\$ occurrences of any letter. Count the empty string, or don't, it's up to you. This is code-gol...

Would 'Wenn Sie wunsch' be an appropriate formal response?

There's a number of recipes I have that require (or at the very least benefit from) continuously stirring during extended periods (half-an-hour to one or a couple of hours). Having chronic neck/shoulder pain issues, that's a big problem for me. So, I want to make a custom automated/motorized stir...

I'll be third years in the electrical engineering and I'm currently teaching myself microwave engineering with the book Microwave engineering by Pozar, 4th. I have no idea about inductor in this figure. I know that R represents finite conductivity, G dielectric loss b/w two conductors, and C bec...

We add a bit to Pairs of farthest points on surfaces of 3D convex solids Given a convex solid S. For a pair of points on its surface, call the length of the shortest path between them that lies entirely on the surface of S the surface geodesic joining the 2 points. Question: Given a convex polyhe...

Random Intersection Graph (RIG) An RIG, often denoted as $G(n, m, p)$ where $n$ and $m$ are positive integers and $p \in [0, 1]$, is a particular model of random graph that was investigated by Karen B. Singer in her dissertation (see link). Formally, the model is constructed as the following (Sin...

Towards the beginning of Dante's Divine Comedy, when Dante first descends to Hell with Virgil, they must cross the river Acheron to continue their journey. Charon is at first unwilling to ferry Dante, but gives in at Virgil's message: And my Guide to him: "Charon, bite back your spleen: this has...

The title is a summary of what I'm trying to achieve, but I'll give an example to illustrate what my problem is and how I've been trying to solve it. Example folder Let's say I've got a folder on a Linux system with the following files: .a, .A, .b, .B, a, A, b and B. Thunar When I open the folder...

Let $y:(\sqrt{2/3}, \infty) \to \mathbb{R}$ be the solution of: $$(2x-y)y'+ (2y-x) = 0, \quad y(1)=3$$ Then (which of the following is true): (A) $y(3) = 1$ (B) $y(2) = 4 + \sqrt{10}$ I solved this homogenous ODE in the usual way and arrived at the following solution: $$y^2-4yx+x^2+2 =0$$ Using t...

We read in Acts 1:1-2 (NIV): In my former book, Theophilus, I wrote about all that Jesus began to do and to teach until the day he was taken up to heaven, after giving instructions through the Holy Spirit to the apostles he had chosen. But, in Luke 24:49 we hear Jesus telling the disciples bef...

I'm reading The Rise of Modern Philosophy by Anthony Kenny and this passage regarding Descartes' answer confused me: "Descartes has an answer to this objection, which depends on a distinction between particular clear and distinct perceptions, on the one hand, and the general principle, on the oth...

When installing or using the Discord app (macOS 15.2), I noticed it asks for permission to monitor input from my keyboard, even when I’m using other applications. This seems like an unnecessarily excessive permission for an app like Discord, and I’m not sure why it would need access to my keyboar...