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12:18 AM
2
Q: Poker bets on Python

Cat metI'm writing poker for my bot in discord. So far I'm presenting an incomplete version of the project, which is only a betting system. The development took a lot of time, so I decided to ask for help. Perhaps something in the project structure could be optimized. import sys, os; sys.path.insert(0...

 
1
Q: Why is one process ps command showing spaces around a directory instead of slashes?

k.schroeder31I'm trying to debug a failing legacy process monitor that searches processes that are running. I determined it is being caused by some mysterious linux behavior. The process being ran is /opt/my/path/directoryname/daemonname but for some odd reason, it shows up with spaces, not /, around directo...

 
1
Q: Was Deuteronomy 18:15, interpreted messianically in Judaism?

Saul57Deuteronomy 18:15 “The Lord your God will raise up for you a prophet like me from among you, from your brethren—him you shall heed— 16 just as you desired of the Lord your God at Horeb on the day of the assembly, when you said, ‘Let me not hear again the voice of the Lord my God, or see this grea...

 
3
Q: Product map on topological group measurable?

BotwinnikLet $G$ be a topological group and $\mathcal{B}$ its Baire $\sigma$-algebra (i.e. the smallest $\sigma$-algebra for which all continuous functions $G\rightarrow\mathbb{R}$ are measurable). Consider the product map $\cdot :G\times G\rightarrow G$ given by $(g,h)\mapsto g \cdot h$. Question: Is the...

 
GIS
1
Q: How to make an infinite repeating projection in qgis?

Vsevolod TsukanovI'm using the EPSG:3857 projection in QGIS. And I use a raster relief layer and several vector layers. Is it possible to make the map not interrupt at 180 degrees, but continue?

 
12:41 AM
2
Q: Shebang can reference a script in Linux

jrw32982I've always heard that the target of a shebang line (e.g. #!/bin/bash) must be a binary executable, not a script. And this is still true for many OSes (e.g. MacOS). But I was surprised to see that this is not true on Linux, where up to 4 levels of scripts can be used, where the fourth script re...

 
1:04 AM
2
Q: Why are venomous mammals and birds so rare in comparison to reptiles and fish?

li tchi.Why are venomous mammals and birds so rare in comparison to reptiles and fish? Metabolic reasons? Morphology? Selection pressures? Why are not all reptiles venomous but many are? Why are platypuses venomous? Is there a difference between venomous and poisonous?

 
CS
1:29 AM
2
Q: What is wrong with my OpAmp Circuit Calculation?

MikeWazowskiThe Question: My Workings: My Mathematica Output: I am attempting to solve this problem using KCL, can someone tell me what I am doing wrong? My mathematica code is not outputting anything. Thank you

 
1:49 AM
3
Q: rock paper scissors game in console

user24687626I've made a simple rock paper scissors game using javascript. Any feedback appreciated. This is a first project I've done with almost no help let computerScore = 0; let humanScore = 0; function getComputerChoice() { let computerChoice = Math.floor((Math.random() * 100)/40); //generates a numbe...

 
CS
2
Q: Efficiently transforming non-recursive CFG into an NFA

breandanIt should be possible to rewrite a non-recursive CFG [1] as an acyclic NFA, since non-recursive CFGs represent finite languages (and thus regular a fortiori). Is there an explicit algorithm to rewrite an ε-free non-recursive grammar into an equivalent ε-free NFA? My instinct is to put the grammar...

 
2:37 AM
3
Q: Is the cap-product map injective for singular varieties?

user45397Let $X$ be a singular, projective (complex) variety of dimension $n$ with at worst isolated singularities. We know that taking cup-product with the cohomology class of $X$ induces a morphism from the cohomology group to the Borel-Moore homology: $$ \cap [X]: H^{2p}(X) \to H_{2n-2p}^{\mathrm{BM}}(...

 
2:59 AM
2
Q: How do normal species and a religious-fanatic species tolerate each other?

controlgroupSetting: In this world (i.e. the one in which you’re reading a WBSE post), intelligent life turns out to be fairly common throughout the Universe, just it tends to blow itself up somehow before it can colonize a major section of the Universe and find other intelligence, since discovering FTL is e...

 
GIS
1
Q: Simple way to put a canvas on a map using Leaflet?

JohnIn Mapbox GL JS I might do something like: const canvas = document.createElement("canvas"); canvas.width = WIDTH; canvas.height = HEIGHT; map.addSource('canvas-source', { type: 'canvas', canvas: canvas, coordinates: [ [WEST, NORTH], [EAS...

 
1
Q: A question about rational functions in complex analysis

Mathematics enjoyerIn Ahlfors's complex analysis $$ R(z)=\frac{P(z)}{Q(z)} $$ given as the quotient of two polynomials. We assume, and this is essential, that $P(z)$ and $Q(z)$ have no common factors and hence no common zeros. $R(z)$ will be given the value $\infty$ at the zeros of $Q(z)$. It must therefore be con...

 
3:43 AM
1
Q: Fill missing data in between available data with default value

OokerMy raw data has values on some random times: const rawData = [ {hour: 3, value: 3} , {hour: 5, value: 9} , {hour: 10, value: 5} , ] as const I would like to fill all missing hours as having value 0: const processedData = [ { hour: 3, value: 3 }, { hour: 4, value: 0 }, { hour: 5, val...

 
4
Q: How was the miraculous complement of two Harkonnen legions for the retaking of Arrakis explained?

François JurainIn Dune, the first novel in Frank Herbert's cycle, the condition sine qua non for the Imperial Sardaukar to take part in the venture is that the Harkonnens provide plausible deniability to the Emperor. In the final package, two legions of Sardaukar would complement the Harkonnen forces, fighting ...

 
CS
1
Q: How can I make this AC current switch turn on at 20mA instead of 50mA?

RodrigoI've bought this AC current switch, which is sensitive to currents from 50 mA to 5 A on the single AC wire that passes inside its hole. When currents from 50 mA start to flow in the wire, it allows its output terminals to "conduct". I need it to be sensitive to lower currents, in the range of 20 ...

 
2
Q: Non-Euclidean geometry: why constant curvature?

WeierNon-Euclidean geometries are generally presented as models for the first four of Euclid's axioms, which do not satisfy the fifth axiom (parallel's postulate). Most texts present two models of non-Euclidean geometries: hyperbolic geometry and spherical geometry. These two models can be considered ...

 
RPG
2
Q: How Balanced Would a Magic Item that Changes Size by One Be?

J ThompsonLet's say for example the magic items are as follows: Torvald's Insecurity. Your size is increased by one for as long as you are attuned to this amulet and it is on your person. Smeek's Sleuthing Stone. Your size is decreased by one for as long as you are attuned to this stone and it is on you...

 
4:06 AM
1
Q: Rigid bodies interacting incorrectly

Cloud9kIm attempting to drop a sphere on a turbo compressor wheel and i want the sphere to "roll" down the fin it hits. instead, when it falls its like it hits an invisible box that's near the comp wheel and shaped differently. Both are set to rigid body. sphere is active+dynamic. Comp wheel is passive+...

 
6
Q: How are Gimli's athletic abilities in the books?

MaxDThree specific examples from the movie adaption of The Two Towers come to mind. When Aragorn, Legolas and Gimli chase the Uruk-hai to rescue Merry and Pippin, Gimli is constantly out of breath and falling behind the others. At the battle of Helm's Deep, Aragorn has to toss Gimli onto the walkwa...

 
4:31 AM
1
Q: Interpolation: From age groups to specific age

NourI have a database contains 10 age groups ( [15;19], [20;24]... [+60) and number of individuals in every age group but it doesn't follow any distribution (once it decreases and other time it increases), and I want to find the number of individuals for each specific age ( 15, 16, 17, 18....), any h...

 
RPG
4
Q: Can I increase my number of trained skills if I increase my Intelligence modifier?

PyrotechnicalI am currently playing a Rogue who had a lower than average intelligence score at character creation. As our party is nearing 5th level, I was anticipating where I might put some of my attribute boosts towards and Intelligence is on the list. If I do elect to increase my Intelligence modifier, wi...

 
5:15 AM
3
Q: Has there been policy direction to reform US attitudes towards free speech and assembly?

Pete WIn the US, 1st Amendment includes not only free speech, but also freedom of assembly. A civil rights attorney working for Harvard Law School posted the contrasting two-scene video below, showing apparently different attitudes towards public gatherings with political elements. https://twitter.com/...

 
3
Q: Find length of 3rd leg of a triangle (that is not a right triangle)

Steven MartinAssume I have any triangle $\triangle ABC$. I know that given the lengths two sides of the triangle and angle between them, I can find the length of the third side. In other words, given values of $AB$, $AC$, and $\angle BAC$, I can find $BC$. What if instead of the angle, I know the length of $...

 
6:02 AM
3
Q: Find all square roots of this matrix using some practical method

MathStackexchangeIsNotSoBad Find all matrices $A$ such that $$A=\displaystyle{\sqrt{\pmatrix{1 & 3 & -3 \\ 0 & 4 & 5 \\ 0 & 0 & 9}}} $$ This is a UC Berkeley qualifying exam question. Now I know one method to solve this. Let $$A=\pmatrix{a & b & c \\ d & e & f \\ g & h & i} $$ Now on squaring we'll get $9$ equations and c...

 
6:24 AM
4
Q: Reference for a statement from Gaitsgory's thesis

Michael BarzIn his PhD thesis, Gaitsgory (in his "remark 6") makes the following claim: Consider two complexes of holonomic $D$-modules with regular singularities on a variety $X.$ Suppose that at each point, the complexes have the same Euler characteristic; then in fact the Euler characteristics of the hype...

 
 
1 hour later…
7:32 AM
5
Q: Alternate history - Blondlot's N-Rays really exist, leading to French dominance in 20th century

AndrewAround 2005, I read in a "Best of the Year" anthology I think, a short piece (novella or shorter) in which Blondlot really did discover N-rays in the early 20th century - and the technological jump that this gave to France led to France dominating the world later in the century. I thought the ti...

 
Law
7:54 AM
2
Q: Is paying a news publisher to not publish negative press about you legal?

In Hoc SignoToday, I saw on the news that the prosecution in the current lawfare case against former-President Trump brought in a tabloid publisher to testify that Trump paid him to not publish negative press about him. Does this have any legal bearing on the case, or is it just for (ironically) the negative...

 
8:18 AM
4
Q: Conveying "procrastination" in Japanese

whatyouexpectA concept in conversations I've wanted to say but have struggled to figure out the best way is to convey that I have "procrastinated" some task or that I tend to procrastinate stuff. The issue is all the associated Japanese words seem not to be what I am looking for: ►回答を先延ばしにする put off a reply u...

 
8:42 AM
1
Q: Are there Chess AIs that factor in moves’ practicality for humans?

clickbaitSometimes Chess engines identify the best move as a move that’s mathematically the best but would be difficult for a novice/intermediate to pull off because it must be followed up by a specific, careful sequence of moves or else it’s not a good move. Are there any Chess AIs that can identify the ...

 
TeX
9:02 AM
1
Q: Definition of \sum -- how does the size selection work

Oliver LeendersWhen writing \[\sum\], a larger summation sign is used than when writing \(\sum\). How does the \sum command find out which size to use? What does \sum expand to? I am guessing it is just a shorthand for another longer series of commands, is it not?

 
 
1 hour later…
10:12 AM
3
Q: Does the movie depict Oppenheimer quoting, "Now I am become Death, the destroyer of worlds"?

king of panesThere's a common misconception that after seeing atomic bombs tested, Robert Oppenheimer quoted the following passage from a Hindu epic poem, the Bhagavad Gita: Now I am become Death, the destroyer of worlds. Does he ever say this in the movie?

 
10:34 AM
1
Q: Why are such few philosophers necessitarian?

ArthurOfNavasesI was reading a book by Amy Karofsky where she puts forward the case for necessitarianism: the idea that what happens is the only possible way that it could have happened. She talks about how very few philosophers consider this view since almost everyone takes contingency for granted, especially ...

 
2
Q: approximate square roots of fractions with rationals

chaohuangHow to compute the rational approximation of square root of a fraction, i.e. I'd like to find $ \frac{a}{b} \approx \sqrt{\frac{m}{n}}$, where $a$, $b$, $m$ and $n$ are integers. Ideally, the approximation should only use additions, subtractions and multiplications. Thanks.

 
11:19 AM
1
Q: Does idealism solve the hard problem of consciousness?

ArthurOfNavasesI was watching a debate here where the idealist says that on a physicalist perspective, consciousness is a brute fact. But if one posits that consciousness is a fundamental part of reality, the hard problem can be explained since consciousness is not arising from physical stuff anymore: it simply...

 
6
Q: Color for this sky

Neil IyerBased on the information given, what would be the color of the planet's sky? Here is the composition of the planet's atmosphere: Nitrogen: 64% Ammonia: 19.7% Methane: 7% Neon: 5% Argon: 1.1% Ethylene: 1% Ethane: 1% Hydrogen: 0.9% Propylene: 0.2% Others: 0.1% The planet has a mass of 4 Earths an...

 
TeX
12:05 PM
4
Q: “alignedat" will adjust the line space automatically but "array" won't in LaTeX?

Y. zengFrom the post, the array is better than alignedat for aligning the equation. However, it seems that alignedat would adjust the line space but array won't. For example \documentclass{article} \usepackage{amsmath} \usepackage{array} \begin{document} \begin{equation} \left. \begin{alignedat...

 
CS
12:30 PM
4
Q: Does the formation of a neutron star always require a supernova explosion?

A K SIs a supernova explosion an essential condition for the formation of a neutron stars?

 
12:50 PM
3
Q: Leaving industry for PhD off-cycle

SpudsI have decided to leave industry and pursue a PhD in geology. I studied physics (bach) and mechanical engineering (masters) but have been working in ML/software for 4 years. Due to my situation I wasn't ready to apply to programs in Dec 2023, but now am daunted at another year+ at my job if I wai...

 
3
Q: How to animate a solid block cracking

HullBreakerLooked around online for a bit and could not find an answer - most resources are about making a cell fracture + rigid body explosion. But I don't want an explosion/destruction animation. I just want to animate cracks appearing on a solid block, but nothing explodes or gets pushed out (please see ...

 
1
Q: Centralizer of coadjoint orbits

TaiatLyuLet $\mathrm{G}$ be a complex reductive group and let $\mathrm{O}_g$ be the adjoint orbit of $g\in \mathrm{G}$. I wonder is the centralizer $\mathrm{C}_{\mathrm{G}}(\mathrm{O}_g)$ still a reductive group in general? If not, how about the identity component of $\mathrm{C}_{\mathrm{G}}(\mathrm{O}_g...

1
Q: Locally conformally flat

SayoojyaIs there any example of a locally conformally flat manifold that is neither a space form nor a product of space forms?

 
 
1 hour later…
2:02 PM
3
Q: A model for illfounded set theory

ShoAs title states, I'm interested in figuring out how to construct a model of $\mathsf{ZFC} + \neg\mathsf{Reg}$, preferably off any regular model $\langle M, \in_M \rangle$ of $\mathsf{ZFC}$ without any forcing shenanigans involved. As I'm still working on the problem and don't want to spoil myself...

 
2:22 PM
4
Q: An article, kept at https://arxiv.org/ and communicated to a journal, can be presented at a conference?

InfiniteI have written a research article in the field of mathematics. This article has been put by me at https://arxiv.org/, which means now it is accessible by anyone, and also this article has been communicated to an SCIE journal (Science Citation Index Expanded journal). I want to present this articl...

 
ELL
1
Q: he begins to feel that the way he had lived was not good after all

hwkal"The very rich man never walks; he always goes in a carriage. But in the course of years, he wakes up one day paralyzed all over. Then he begins to feel that the way he had lived was not good after all. No man can walk for me." why did the speaker use the past perfect tense when the story is in t...

 
2:45 PM
2
Q: sort all arrays in a JSON file depth-first to get a consistent order

Stéphane ChazelasI'm tracking the configuration of some system in JSON format in a revision control system. Unfortunately that configuration is retrieved using some closed-source proprietary command, and the output changes from one run to the next as the order in objects and arrays is more or less random. One tim...

 
3:10 PM
1
Q: How to describe integers with the same prime factors?

mathbeingIs there a term for the relationship between two integers that have the same prime factors? For example, $6=(2)(3)$ and $12=(2)(2)(3)$. Can one describe this with something along the lines of "$6$ and $12$ are <term>" or "$6$ is <term> to $12$"? ETA: "Multiples" is indeed not what I'm after. $...

 
3:31 PM
2
Q: What is Tapscript?

LeeWhat is Tapscript? How is it different from script? Is it the same thing as "Leaf script"? How does it relate to Witness Script, miniscript and any other type of script used in Bitcoin transactions? How and when was it implemented? What can it be used for?

 
2
Q: How do I know if a word in the English translation is implied by the Hebrew or Greek, or specifically stated?

LukeI understand that one way to know is if an English translation like the NKJV or NASB has words in italics. Then I can know that the English word is implied rather than actually stated in the original Hebrew or Greek. But, let's take an example like Genesis 15:6, which I have been studying. In the...

 
7
Q: How can I evaluate the Gaussian Integral using power series?

David KarelinIt's a well known result that the Gaussian integral $$\int_0^\infty e^{-x^2} dx = \frac{\sqrt{\pi}}{2}$$ evaluates to $\frac{\sqrt{\pi}}{2}$. This result can be obtained using double integrals with polar coordinates, among other things, but I'm particularly interested in evaluating this integral ...

 
3:53 PM
3
Q: When someone tells you, "you're a trip"

Jamie WalkerWhen I was having a conversation with someone and they looked at me and said "Man, You're a trip" was it referring to when I tripped over a word? Or didn't use the word right?

 
1
Q: Shell extension manager errors on Ubuntu 24.04

amarI have got a lot of errors in there just posting 2 of them atm 2024-04-27T09:00:03.860270+02:00 Desktop gnome-shell[1659]: Extension ubuntu-dock@ubuntu.com: Error: No signal connection 10 found#012#012Stack trace:#012 _disconnect@resource:///org/gnome/gjs/modules/core/_signals.js:58:15#012 disa...

2
Q: color variable does not work with PS1 assignment in bashrc file

xkeshavbelow is my current PS string in .bashrc PS1='${debian_chroot:+($debian_chroot)}\[\033[00;37m\]\u@\h\[\033[01;32m\]:\[\033[01;34m\]\w\[\033[01;31m\] $(parse_git_branch)\[\033[00m\]\$ which works fine but it is very difficult to write single color code while colors are also limited ; so create ...

 
1
Q: Ways to refuel nuclear powered cars

Blue DevilI am working on a story set on a world where cars (or in a broader sense road based vehicles) are the main transport mode (aircraft have never been invented here and most bodies of water are so small that water travel is mostly used for pleasure craft) and thus liked the idea that every even slig...

 
4:19 PM
1
Q: What is it called when two variables causally affect one another?

quantSuppose two variables X1 and X2 are correlated and we know that X1 causes X2 and X2 causes X1. For example, leg strength and an interest in cycling interest might be correlated. And (suppose) we know that having stronger legs makes you more likely to take up cycling and cycling causes your legs t...

 
5:02 PM
3
Q: Is the concept of "supernatural laws" an oxymoron?

MarkIn the discussion on defining and distinguishing between naturalism and supernaturalism, is it coherent to entertain the notion of a supernatural realm governed by rules or laws, and if so, would it make sense to explore the potential for a testable predictive theory of the supernatural? In short...

 
CS
1
Q: fast CRC computation

erichstuderI have two implementations of the crc calculation. The crc_classic is based on the typical implementation you can find for example on Wikipedia The second one might be found in D.3.2 here IO-Link I'm looking for an explanation why the second one does the same as the first one. The second one is t...

 
4
Q: Basis of the image

Gleb Cloudy Find the basis of the image of a matrix: $$ A = \begin{pmatrix} 1 & 0 & 1\\ -1 & 1 & -2 \\ 2 & -1 & 4 \end{pmatrix} $$ I'm somewhat confused about the concept of the basis of the image, and I find it perplexing. I find the row-reduced echelon form of the matrix: $$ \begin{pmatrix} 1 & 0 & 1\\ 0 &...

 
5:49 PM
3
Q: How to divide a known root out of a polynomial?

Jos BergervoetConsider this simple 5th order polynomial: pol=x^5+x^4+1 Factor[pol] (* (1+x+x^2)(1-x+x^3) *) root=FindInstance[pol==0, x] (* -1/2 -I/2 Sqrt[3] *) Suppose we would like to see the 4th order polynomial with this root removed. This does not immediately seem to be easy... For instance: F...

 
6:12 PM
3
Q: Splitting 0' into two 1-generic reals

ppopdeskI came across multiple research papers where they have mentioned that two 1-generic reals $x,y$ can be constructed such that $x \oplus y \equiv_{T} \textbf{0'}$ where $\textbf{0'}$ is the degree containing the halting set. I was wondering how to prove this fact. I know some basic computability th...

 
2
Q: Where to provide a link to the repository in the distributed software?

user1803551I have a hosted OS project that uses the MIT license attributed to my user name. I also provide packaged releases of the software for convenience (so users don't need to build and package locally). The license file is included in the packaged application. I want to add a link to the repository so...

 
6:56 PM
3
Q: Correct Choice of First Vowel in Words Such as "Regret" and "Return"

HannahIs it acceptable in formal American English to pronounce the first vowel in "regret", "realize", and "return" as an open-mid front unrounded vowel as opposed to a close front unrounded vowel? Also, how were these words pronounced in Middle English?

 
2
Q: Form of the Hamiltonian at Half-filling

CuriousMindI am trying to understand why chemical potential $= U/2$ is considered to be at half-filling in the case of the Hubbard Model Hamiltonian. So when I substitute this in its Hamiltonian, this is the equation I am getting $$ H = K.E-\frac{U}{2}\Sigma [n_{j,up}n_{j,down} + (n_{j,up} - n_{j,down})^{...

 
7:20 PM
2
Q: Why does the Bible identify Mitsrayim with Egypt?

Bharat JhunjhunwalaAbraham went to Mitsrayim c. 2000 BCE. At that time the Egyptians knew themselves as Kemet, not Misr. The earliest reference to the name Misr to my knowledge is from the Amarna Letters c. 1350 BCE. This is after the Hebrews reached Israel. How do we explain this?

 
9
Q: Quantum probabilistic method?

RiemannThe probabilistic method uses arguments from probability to prove deterministic statements. This has been applied to diverse fields such as combinatorics, topology and number theory. In this method, you constructs a random variable based on the theorem that you want to prove. Using probabilistic ...

 
CS
3
Q: Can I use ceramics instead of electrolytic capacitors in CRT drive circuit?

squelch41I've been recapping an Amstrad PCW 9256 computer. All the electrotyics are bad on the analogue board - I've replaced the electrolytics I have in stock and the CRT is now working almost perfectly but there is still a bit of 'jittering'. There are some high voltage, low capacitance capacitors that ...

 
1
Q: Is PEMDAS realy needed?

user1316488I was just wondering if PEMDAS is realy needed in Math. I think that instead of trying to interpret math by using conventions, we just need to write math in the right order of operation from left to right. PEMDAS does not reflect the real life order of doing things. I am no Math expert, but if I ...

 
7:44 PM
1
Q: Bifurcation Diagram for Wang-Chen System

M.SI am trying to construct a bifurcation diagram of the system $$dx/dt=yz+a,\quad dy/dt=x^2-y, \quad dz/dt=1-4x.$$ I've scoured the internet for pre-made bifurcation diagrams and found many (mostly of the logistic map). However, as the code is quite complicated I am not sure how to edit the code so...

 
RPG
4
Q: Would Thunder Crystal be ok for a Rare rating?

MołotI'll be DMing for a party in an adventure where a lot of enemies will have resistance or immunity to the most common damage types, like Fire, Cold or Poison. In the previous adventure my Sorcerer dealt with it using Transmuted Spell with a Thunder option. Of course I won't put a DMPC in the campa...

 
TeX
8:05 PM
1
Q: Automated parskip after formulas

Louis LascaudI understand that English people generally want to delete paragraph indentation everywhere... This is not the french custom, and I there is very few tips on how to add indentation in LaTeX. Hence my question ^^ For now, every time I write a formula between \[ , \], I write \par juste after that s...

 
1
Q: What does 'being conservative' mean in occlusion culling?

EnigmatismsI've been learning graphics engine recently and I come across a term - conservative: The CPU-GPU sync point problem Unreal solves like any other engine that uses queries, by deferring reading the query data for a number of frames. This approach works, although it might introduce props popping in...

 
8:28 PM
1
Q: Does washing the bike (not the drivetrain) actually prolong the life of any components?

oscu0Common wisdom dictates that bikes, especially those used in the rain or in the winter, should be washed frequently to prolong component life, but I honestly cannot see how. I am aware of the following: drivetrain cleaning and chain rotation is obviously necessary cleaning braking surfaces used t...

 
2
Q: Proving that a function is one-to-one (injective)

FundamentalTheoremThe question is to show that the function $ f(x) = 2x + |\cos x|$ is both one-one and onto. I have managed to show that it is onto but got stuck at proving that it is also one-to-one. To prove this I thought of using the first derivative and showing that the function is always increasing. For bo...

 
8:51 PM
3
Q: Differentiating Wiener process

BogasoI have come across an expression as below $d\left({W_t}^4\right) = 4 {W_t}^3 d\left({W_t}\right) + 6{W_t}^2 dt$ where $W_t$ is standard Wiener process. While I understand the first part of the RHS, I fail to understand the second part. Could you please help to explain it? What is the expression f...

 
4
Q: Conditions for Binomial Distribution

Usermaths88It is known that if $X$ is the sum of $n$ independent and identical Bernoulli random variables, $X$ follows a Binomial distribution. How about the reverse, can a sum of dependent and/or non-identical Bernoulli random variables still follow a Binomial Distribution?

 
9:14 PM
1
Q: Battery Voltage drop

walterI want to install a new stereo for my car which requires 12V. I tested the battery first it and shows 12.29V but when I started the car the battery became 6V. Is this normal? What am i doing wrong?

 
10:00 PM
4
Q: Ubuntu 24.04 Nvidia drivers

Denys ZatsarynnyyAll Fresh install Ubuntu 24.04 - all work fine - but 'ubuntu-drivers list' - show me only 535 driver udevadm hwdb is deprecated. Use systemd-hwdb instead. udevadm hwdb is deprecated. Use systemd-hwdb instead. udevadm hwdb is deprecated. Use systemd-hwdb instead. udevadm hwdb is deprecated. Use s...

 
3
Q: Each symmetry of a triangle corresponds to exactly one permutation

JohnTI am trying to understand a statement about symmetries of a triangle. The set of lecture notes I am working through assert that (1) every permutation corresponds to a symmetry and (2) every symmetry corresponds to exactly one permutation. As there are only six symmetries, I can write out each of ...

 
10:22 PM
1
Q: How would you say "He says he used to remember that." in Latin?

FlatAssembler"He says he remembers that." would be, if I am not mistaken, "Is dicit se illius meminisse.". But how would you say "He says he used to remember that."?

 
1
Q: Material chipping from fork dropout. Still safe?

user1049697I have a 10 year old Suntour suspension fork where some of the material on the dropout has started to chip and fall off. I think it has happened because of some harsh winters with lots of road salt. Is it still safe to ride though, based on the attached picture?

 
2
Q: What does the essence of anything matter, if its effect is the same?

retrospaceThis came to me as a generalization of another question: What does the algorithm matter, if the input-output game plus performance is the same? And lead me to a rabbit hole of following philosophical conclusions: (I go top-down. So, don't stop just after the first statements. Explanation follows....

 
10:48 PM
2
Q: A locally compact, connected, Hausdorff and locally connected space is not the countable disjoint union of nonempty closed subsets

Jianing SongIn Chapter $5$, Section $4$ of the book Continuum theory by Sam B. Nadler, Jr., the auther defines $\sigma$-connectedness (Definition $5.15$) to be the property of not being a disjoint union of countably many (including finitely many) and more than one nonempty closed subsets. It is well known (f...

 
11:08 PM
2
Q: What idiom could describe bureaucratic inefficiency?

hh_sonjaTo begin with, the bureaucratic process was extremely time-consuming, and when I inquired about the status of my documents, they gave me the runaround. After incessantly contacting them regarding my documents, I eventually discovered the reason for the delay: they had misplaced my documents. When...

 
5
Q: How to check whether spin orbit coupling is strong or weak?

KhushiI am doing spin-orbit coupling (SOC) calculations using VASP. I had done a magnetic anisotropy calculation, but I do not know how to check whether the SOC is weak or strong. Any help would be highly appreciated.

 
1
Q: Booking return flights for a multi-destination trip

foucdegI'm planning a multi-destination trip (TLS -> AKL -> YUL -> TLS). Flight finders are showing me prices around €2-3000 for EACH of these legs, total up to €9000, whereas the (geographically similar) TLS -> AKL -> TLS round trip is reasonably priced (€1400). It seems that I'd save loads of money if...

 
11:31 PM
2
Q: What does modern physics hold to be the “base ontological system” of reality?

Julius HamiltonModern physics defines fundamental forces and particles as particular “fields”. I have read some things like “gauge symmetry” play an important role in these theories. I have looked up a good reference material on axiomatic quantum field theory, which has sections on the ontological interpretatio...

 
2
Q: How to extract a matrix and vectors of coefficients from this quadratic expression?

user1620696Consider the following expression (x-y+a)^2 + (x-z+b)^2 // Expand The result is a^2 + b^2 + 2 a x + 2 b x + 2 x^2 - 2 a y - 2 x y + y^2 - 2 b z - 2 x z + z^2 I want now to write a code that extracts the coefficients into a matrix and a vector so that I can rewrite the original expression as {x,...

 
3
Q: BMT question on Probability

Satish RamanathanKait rolls a fair 6-sided die until she rolls a 6. if she rolls a 6 on the nth roll, she then rolls the die n more times. what is the probability that she rolls a 6 during these next $n$ times? This can be treated as two events, event $A_n$ she rolls a 6 on the $n$th roll and event $B_n$ she roll...

 
11:56 PM
5
Q: complex analysis book recommendations with more exercise than Ahlfors

pieI am learning complex analysis and currently reading Ahlfors’ Complex Analysis. I feel like I need to do more exercises than the five problems provided in each section. Therefore, I am seeking recommendations for complex analysis books with more exercises than Ahlfors’, but still at the same leve...

 

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