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1
I have encountered this well-known result when reading about separable spaces.
Let $(E, \tau)$ be a separable topological space. Let $X \in \tau$ and $\tau_X$ its subspace topology. Then $(X, \tau_X)$ is separable.
Could you verify if my below proof is fine?
Let $D$ be a countable dense subse...
What exactly does Zorg expect from the arrival of the "Great Evil"? Once it would have reached the temple, life would turn into death, including Zorg's life. He tried to explain to Fr. Vito Cornelius why, but it still doesn't make sense. What did Zorg expect from the evil for himself?
I'm trying to separate frame ticks from the vertical axes and so far I've found a solution to that end by adding the following command inside the "Plot" main command
FrameTicks -> {{{{0.2, "0.2 "}, {0.4, "0.4 "}, {0.6, "0.6 "}, {0.8,
"0.8 "}, {1, "1.0 "}, {1.2, "1.2 "}}, None}, {Automatic, ...2
4
I saw in some astronomy textbooks that pulsars gradually slow down due to the loss of energy by its radiation. I wonder why this is possible?
Although the radiation is now not thermal but in the form of two beams, I think they still cannot carry away net angular momentum but just net energy. So w...
I'm looking for a module that has two submodules $P,Q,R$ such that $P\cap (Q+R) \neq P\cap Q +P\cap R $ I'm struggling to find this example because I'm not that familiarized in module theory
Can You help me?
Thanks
1
As far as I know, United States Eastern Time is GMT-5 for Eastern Standard Time, and GMT-4 for Eastern Daylight Time.
So why do these two commands give different hours in the answers?
laptop % TZ=EST5EDT date
Wed Apr 27 12:16:36 EDT 2022
laptop % TZ=GMT-4 date
Wed Apr 27 20:16:40 GMT 2022
Should...
My guess is PNP transistor might ensure fast turn off by shunting the gate capacitance (ie, when diode is reverse biased and the PNP is on.)
Additional questions:
Why is the gate current limiting resistance not present?
What is the role of R1 in Fig 2.7?
Ref: https://toshiba.semicon-storage.c...3
3
2
I'm writing an urban fantasy story revolving around, among other things, vampires secretly living in the United States in 1998. And since the first two vampires came into existence in the area that is now known as Romania in around 1450, a question I need to have a solid answer for is when, exact...
Colossians 1:18 ESV
"And he is the head of the body, the church. He is the beginning, the firstborn from the dead, that in everything he might be preeminent". My emphasis.
A. In this verse is Jesus the firstborn from the dead that His preeminence, already established, might be shown/ expressed...
Is it possible that the Latin conjunction "ergo" was derived from the dative singular of the Greek word "εργον", meaning task?
4
2
I am hosting a one-time class/talk on the concept of infinity for some (talented) high-school students. I want to teach them about proof by induction and I want them to do some exercises (you learn math by doing!). I am therefore looking for easy, elementary and maybe also intersting exercises fo...
2
When asking an older bitcoind node to broadcast a transaction which includes or spends a p2tr output, how will they respond? Will they broadcast the transaction? Will only certain bitcoind versions broadcast them? Which ones if that's the case?
I'm not asking if it's possible to detect if a user'...
I used USPS First-Class Mail with tracking to send my State and Federal Tax returns. It's been 10 days and the tracking site has a In Transit, Arriving Late status.
What happens if USPS fails to deliver or loses my tax returns?
An encrypted ext4 container will always leak the superblock information.
So encrypting an unencrypted metadata file system like ext4 is inherently vulnerable because it instaleaks?
Shouldn't it then be an absolute requirement to do at least double encryption to prevent this (so that the outer e...2
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1
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(Note: This has been asked on Math SE, but without an answer after almost two years and one offered bounty.)
For an entire function $f$ let $M(r,f)=\max_{|z|=r}|f(z)|$ be its maximum modulus function. $M(r, f)$ does not change
if $f$ is replaced by $e^{i\varphi}f(e^{i\theta}z)$,
if $f$ is replac...
As a python interested guy i have seen the syntactic sugar of a decorator like this:
@decorator
def decorated_method(self):
return "Hello"
So, it's a sort of higher order function in python, but my question is:
Is there another patterns or ways to express the same idea of decorating beyond i...
2 Samuel 3:18 speaks of David saving Israel:
18 Now then do it: for the Lord hath spoken of David, saying, By the hand of my servant David I will save my people Israel out of the hand of the Philistines, and out of the hand of all their enemies.
Ephesians 2:8 speaks of Christ saving His people:...2
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My code basically picks random letters and numbers from three lists and makes a random combination with them. I decided to write this code just for fun, however I feel like the code can be made shorter. I just don't know how.
So here is my code:
import random
caps=['A','B','C','D','E','F','G','H...
4
I had an interesting scenario recently and wasn't sure off the top of my head if my desired inheritance model was possible. This finding might not be the most interesting or novel to some, but it took me a bit of research and experimentation to confirm, so I thought I'd share it here.
Can a supe...
I am having trouble centering the middle line in the table.
\documentclass[12pt]{article}
\usepackage[utf8]{inputenc}
\usepackage[spanish]{babel}
\usepackage{fancyhdr}
\usepackage[margin=1in]{geometry}
\usepackage[document]{ragged2e}
\usepackage{float}
\pagestyle{fancy}
\setlength{\headheight}{...1
Was Jesus Christ a refugee? Yesterday I was debating the topic with my Progressive Christian friend who claimed that the Lord was a refugee, was Christ by definition a refugee?
Images like this
and this
are common in sci-fi/fantasy settings, for the obvious "rule-of-cool" reasons. And while the 'rule-of-cool' is certainly worth using (in moderation) when appropriate, I can't help but wonder just how realistic are giant cracks in rocky planets?
Since that question, al...1
Q: Potential new employer wants to contact my current employer as part of intrusive background checks
I've got a formal job offer, conditional on the background checks. Because of my sector, the background checks are being detailed and intrusive. The prospective new employer wants to contact my current employer as part of these background checks. Furthermore, the recruiter even wants me to give m...
4
I have not travelled internationally in the last 2 years and I still don't see how it is possible.
Many countries require pre-travel testing. For example, this is a direct quote:
All incoming travellers aged 5 years and over must provide a negative
result from a PCR or certified antigen-detectin...
7
Nissan Frontier 2018 4.0L. SV
Parts store said I could use any washer in an assorted pack of washers labeled M14. Upon looking further into issue I found that a M12 is the correct size. I already installed the M14. It is not leaking now. Will that be OK until next oil change? Or change it now.
2
I have a file with the following format, each column separated by tabs:
C1 C2 C3
a b,c d
e f,g,h i
j k l
...
Now I need to have the number of lines according to the number of values separated by commas (if that's the case) in the 2nd column. The lines must have one of the values and ...
There's no direct download of Ubuntu Desktop 22.04 for ARM64 yet, how do you install it?
5
2
I'm studying for my upcoming AP Physics 1 exam but can't figure out this problem
A student shakes a horizontally-stretched cord, creating waves. The
graph above shows the vertical position y as a function of time t for
a point on the cord. The student then tightens the cord so that waves
on it ...4
1
4
can you help me with a question?
I'm studying some code here and I came across this line:
public Opportunity[] relatedApp {get;set;}
what is happening on that line?
I mean, why did the programmer use the characters []
later the code continues with:
public List<Opportunity> getAppends1(){
...
I saw this photo of a Magic card with a shiny orb next to the oval one in the center. What's that mean?
1
I have 4 inventions that I want to file patents for.
2 are software related and 2 are manufactured products.
My goal is to find one great lawyer that I can trust for all 4 of these patents.
Is that feasible? Or do I have to work with multiple attorneys because the category of inventions is too di...
2
Some equations are difficult to solve, so perhaps we can plot a function of the equation to see roughly how the solution looks. The same is true for differential equations, where we can observe the integral curve by drawing its slope field.
I have a differential equation:
$$ y^2=4+4\left(\frac{dy...
1
So I imported a PNG of Peppa Pig as plane and edited it as a 2D mesh directly. Being a newbie, of course, I fxxked up hard.
You can tell by both the weight map and render view how screwed I was. The weight distribution was going coco and the texture went wild. I assume that this is because my m...2
1
I read a short story in the Magazine of Fantasy and Science Fiction in the past 8 or so years that deals with a lot of body modification. The main character had surgery at some point to add wings but they have started to rot. One of the characters we meet had a beehive living in their body as w...1
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Knuth's tex book introduced \if<token1><token2>. I wrote the following to test it
\def\tOne{abc}
\def\tTwo{abc}
\ifx\tOne\tTwo
True
\else
False
\fi
\if\tOne{abc}
True
\else
False
\fi
\if{abc}\tOne
True
\else
False
\fi
The result is
True
False
False
Why did the last two cases evaluate to Fal...
I was writing a Makefile (on Ubuntu 20.04, if it's relevant) and noticed some interesting behavior with echo. Take this simple Makefile:
test.txt:
@echo -e 'hello\nworld'
@echo -e 'hello\nworld' > test.txt
When I run make, I would expect to see the same thing on stdout as in test...1
AS CODE: FIVE BIT ⇐ U SAW/SEE
As always, your final answer will be a single word.
1
I'm curious, when I first heard of the term database migration, it was unequivocally pertaining to moving entire databases from one platform to another.
However, recently I had to build a server that required setting up a database myself. Then I chanced up this python library called Alembic. Appa...
2
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1
I need to get to Brussels Airport for a Schengen flight that leaves at 7pm on a Sunday.
I'm probably going to aim for one of these trains (timings taken from Bahn.de)
Arr Dep
Ghent 15:13
BRU 16:35
or
De Panne 13:52
BRU 16:35
...2
2
GeoPackage is my favorite geo-format but I also have some strange behaviors. One of them: I delete all records/features within a table using QGIS -> Delete Features or SQL statement but there are still features counted as you can see in the screenshot below:
I also deleted all records and reset ...
4
I have built a simple custom LWC that shows a query result in a lightning-datatable.
Thing is, it shows too many records and I'd like to fix the rows to 3, plus a link on the bottom that says "Show more". This is what I am trying to achieve:
This is what I currently have:
HTML:
<template>
<h2>1
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For writing a story, I'm trying to figure out if 2 people could crew an age-of-sail (15th/16th-19th century) sloop and sail it effectively. Various sources give various crew numbers for various types of vessels and estimating where the ship in question falls into these measurements appears to be ...
1
Consider the following example, you can see that there is a white background behind the text label, which is not consistent to the page color. Is there any way to fix this behavior?
\documentclass{article}
\usepackage{tikz-cd}
\pagecolor{yellow}
\begin{document}
\[
\begin{tikzcd}
X &2
es-tu libre de te rencontrer un jour ou l'autre ?
sounds simply wrong, stiff or somehow 'unfrench' to me...
In this context, I would be meeting a friend for a regularly occurring chat over coffee.
5
I recently started learning to fly sailplanes. I am usually quite resistant against airsickness, both when flying commercially as well as flying in the front seat of a sailplane (either when the instructor is thermalling or when I do it myself). However, I recently took a longer flight as a passe...
Suppose I have a binary classifier $f$ which acts on an input $x$. Given a threshold $t$, the predicted binary output is defined as:
$$
\widehat{y} = \begin{cases}
1, & f(x) \geq t \\
0, & f(x) < t
\end{cases}
$$
I then compute the $TPR$ (true positive rate) and $FPR$ (false positive rate...
Basically, I want to draw this:
to represent some pressure distribution over a surface. I have tried this video tutorial and this page, but this is what I get:
and here are my "Pattern Along Path" settings:
I would appreciate it if you coul...9
Starting with 1, output the sequence of integers which cannot be represented as the sum of powers of earlier terms. Each previous term can be used at most once, and the exponents must be non-negative integers.
This sequence starts:
1, 2, 6, 12, 25, 85, 194, 590, 1695, 4879, 19077, 83994, 167988
...
BarLegend[{{Blue, White, Red}, {0, 4}},
Ticks -> {{0, "0"}, {2, "1e-2"}, {4, "2e-2"}},
LegendLayout -> "Column", Charting`TickSide -> Right]
How can I add different ticks on the left side to get something like this
1
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Since there was some confusion over what I was asking yesterday, here is another try. Can someone tell me how to create the object seen below?
I have marked the object I am interested in:
Please note that the inner loop of the object is circular.
1
From what I understood, quantum programming can solve some algorithm exponentially faster.
Thanks to the superposition, unlike a classic bit, which can be either 0 or 1, a qubit can be both 0 and 1.
Does that mean we can apply an algorithm for all bits possibly in one shot?
Example:
We have 2 qub...
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I, an "evangelical" "social justice" "protestant" have many theological disagreements with many of my brothers and sisters in Christ. For example, I reject a portion of the Catholic church's teachings. I also can't entirely agree with any church that denies our call to social justice and evangeli...
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2
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I'm trying to understand this chord progression:
Ebmaj7 D7#9 Gm9
Ebmaj7 F#dim7 Gm9 Bb13
I know from D7#9 to Gm9, that's a V-i.
But where's the Ebmaj7 coming from? Does it come from the relative major of Gm (Ebmaj7 is the 4th degree of Bb)?
Which role does F#dim7 play here as well?
I saw this tutorial on a website.
From that, I designed these circuits:
In my circuits the voltage source is 12 volts.
The tutorial says the output gain should be 2. In my second circuit the gain is 2 but in the first one that is designed with transistors it does not give me 24 volts like the s...
In my terminal app, it shows
(base) jeffsungs@Sung-Macbook-Air ~ %
on every row. I know that Sung-Macbook-Air is the localhostname, and how to change it. But how about the writings before the @ (in this case is jeffsungs), what is its name and how to change it?
1
I have been reading some historical papers in the field of computer science, economics and game theory. I have noticed that some of the really old ones such as Equilibrium points in n-person games by John Nash (1949) accessed from PNAS has minor inconsistencies and flecks in the ink, indicating i...
4
I recently remembered a story I read when I was younger about a boy discovering a magical world (maybe even situated in our own) but his memory gets erased because humans are not allowed to know about it. Knowing this, he writes everything down before and then rediscover his notes and remember (o...
1
I’m trying to reduce the number of clichés in my manuscript, and I’ve found 11 instances of characters raising their eyebrows. A couple I don’t mind, but it feels like too many.
What other actions can be used to indicate “mild surprise”?
3
In Suetonius' "Div. Aug. 28.2":
"...et moriens ut feram mecum spem mansura in vestigio suo fundamenta rei publicae quae iecero." =
"...and in dying I will carry the hope with me, that the foundations which I have laid for its future government will stand firm and stable." (Perseus: Alexander T...2
1
1
6
My group is playing Curse of Strahd and believe there is a traitor among them when there isn't. What RaW mechanics are there for them to find out who (if anyone) is leaking secrets to the Dark Lord or other mechanics so they can move on from this self-imposed fear?
My goal is for my players to fi...
4
3
$Q$.
If $p$ is an odd prime, show that
$$
\left(\begin{array}{c}
2 p-1 \\
p-1
\end{array}\right) \equiv 1 \bmod p^{2}
$$
My approach
Here,
$$
\begin{array}{l}
\left(\begin{array}{c}
2 p-1 \\
p-1
\end{array}\right)=\frac{(2 p-1) !}{(p-1) !(2 p-1-p+1) !} \\
=\frac{(2 p-1) !}{(p-1) !(p) !}
\end{arra...
When I enter the following code:
PolarPlot[1, {t, -Pi, Pi}, PolarAxes -> {True, False}, PolarTicks -> {"Degrees", Automatic}, PolarGridLines -> {True, False}]
Mathematica generates the following output:
It is obvious that some labels for PolarTicks are outside plot range and therefore not full...1
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1
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What are the reasons that 8 US Representatives holding very different political views voted against US H. R. 6930, a bill to confiscate assets from sanctioned Russian oligarchs and use the funds to support Ukraine?
I am looking for official statements or fact-based analysis, no opinions or specul...
It is a part of a fiction book that I was reading:
I'll return to Max's backyard, I told myself. And I'll jump into the
pool. Clothes and all. I'll dive down... swim underwater... through
the portal... swim back to my world.
What is the meaning of "Clothes and all" here? I haven't seen this kin...4
2
I am playing this Slitherlink app on Android, and get stuck on this puzzle at the following state:
I made a lot of progress on the right side, but after this I couldn't find anything that I can do, without potentially guessing a very long chain.
Can anyone help me reason the next logical step fr...
I'm a bit confused with the usage of logistic regression for multi-class classification. My understanding is that a logistic regression is dichotomous (two possible classes), so in the example of the Iris sepal/petal there are 3 Species:
1. *setosa*,
2. *versicolor* and
3. *virginca*
If we run...2
Q: Why do people add their initials to the names of tailor-made functions added to their config file?
Is it a namespace trick to prevent future problems?
I noticed a pattern in the Emacs community. When people create some tailor made function and insert it on their init files, they use a convention on the name prefixing it with their initials.
For instance, take a look on this question that I pre...
I have a small wooden shed in my back yard that needs to be torn down, and for the most part, I can handle it fine. However, I have one concern about the cleanup afterwards: how can I make sure the nails get cleaned up thoroughly so my kids and pets don't step on them? I've thought of a magnet ...3
1
Solving a minimization problem in version 13 on Windows 10, I obtain
Maximize[{Sin[x + Sin[x]] + Sin[x - Sin[x]] + (Pi/2 - 2)*Sin[Sin[x]],
x >= 0 && x < 2*Pi}, x]//FullSimplify
{2 Cos[Sin[Root[{Pi Cos[Sin[#]] - 4 Sin[Sin[#]] Sin[#]& , 0.9033391107665128473590217051048716426220.300104378161908...5
By the David Carlisle's answer, Automatically use \cdot
We can input *, TeX turns * into \cdot command.
How can I change * by ".".
\documentclass{article}
\mathcode`\*="8000
{\catcode`\*\active\gdef*{\cdot}}
\begin{document}
$e=m*c*c$ is equiliant to $e=m\cdot c\cdot c$.
I want to type $e=m.c.c$...
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The problem:
I want to have a volcanic island with an everlasting lava outflow completely overgrown by (jungle) plants. It therefore follows that plants should also grow above the lava.
I know that volcanic ash is very fertile, so the plants can grow well.
However, I see the heat of the lava as a...
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