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Imagine that we have $100$ coins, which each have a random weight between $0$ and $1$ $\left(~\mbox{but we know the weights}~\right)$:
That is to say, we have $100$ known numbers $p_{1}, p_{2},\ldots, p_{100} \in \left[0, 1\right]$ such that
coin $n$ has probability $p_{n}$ of flipping heads, w...
Estne in lingua Latina verbum pro die ante heri? Scitis, ut Croaticum verbum "prekjučer" (quod legitur "trans-heri").
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I'm writing a story in a first-person format, where the main character is blind, and I'm struggling with the 'show don't tell' (SDT) rule. I was wondering if there was any way I could kind of work around it in a way. There is a limited form of magic in the world and I've used it to implement a wa...
As the title says. The original armour has a +1 Dex cap, but when it becomes heavy armour it only says it's AC bonus becomes +5 and nothing about it losing it's Dex bonus.
The armour becomes heavy armour. It's AC bonus becomes +5, and it gains the bulwark armour trait.
I would say since heavy a...1
What happens if, during an ongoing trial, the presiding judge dies, is injured, or otherwise is unable to finish the trial?
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I want to find the sum of this series in terms of $x$ and $n$.
$$\sum_{r=0}^{n-1}{x^{4^r}} = x + x^4 + x^{16} + ... + x^{4^{(n-1)}}$$
I can't really think of a way to approach this. I think this could be some form of hypergeometric series? Does this even have a closed form? I tried using approach...
Here's the code in question:
void setup() {
Serial.begin(115200);
Serial.println();
char test[5000];
int i;
for (i = 0; i < sizeof(test)-1; i++) {
test[i] = 'x';
Serial.println(i);
}
Serial.println("Going to print string: ");
test[i]='\0';
Serial.println(test);
}
v...1
For fun I wanted to investigate Brocard's Conjecutre. That is, does there exist \$n, j\$ such that \$n! + 1 = j^2\$. The method I use takes inspiration from looking at divisibility rules which I explain in the doc comment at the top of my Rust file, but to reiterate at a high level:
The idea is s...
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Matthew 15:29-39 NKJV
29 Jesus departed from there, skirted the Sea of Galilee, and went up
on the mountain and sat down there. 30 Then great multitudes came to
Him, having with them the lame, blind, mute, maimed, and many
others; and they laid them down at Jesus’ feet, and He healed them. 31
So...
I am a little confused with how to interpret a negative coefficient in a GLM model using the Gamma family with a log link.
My response variable is continuous (with no zeros) and right skewed and represents per-capita energy use. Because of its distribution I am using a gamma with a log link. I...5
Checking through the rules for summoner eidolons, I couldn't find any mention of them having a proficiency like training in Perception by default. The online version of the rules don't seem to differ from the Secrets of Magic book on this, and otherwise it seems that they'd be one of the only cas...
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What should I do when I hit bumps or put on the pedals and it will switch gears momentarily
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I have a question that I can't solve for the moment. Suppose we have a fixed positive integer $k$, now consider $k$
natural numbers $x_1,x_2,\dots,x_k$
such that they satisfy the following condition (*):
$$0 \leq x_1 \leq 1, 0 \leq x_2 \leq 2, \dots, 0 \leq x_k \leq k.$$
I appreciate any help fro...
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I am writing an Spanish paper so I'd like to change "and" default conjuction for "y" in the command \maketitle in the class amsart.
\documentclass[10pt]{amsart}
\usepackage[spanish]{babel}
\author[1]{Práxedes Mateo Sagasta }%
\author[2]{Antonio Cánovas del Castillo }%
\title{La Campana de Hues...1
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My neighbor in the next house has a detached garage and there is a smoke alarm in that garage that is chirping every 30 seconds for a few days.
The garage has an open window facing my house with a distance of about 5 feet, so the noise is pretty loud and disturbing at night.
I talked to them abou...
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A black hole is defined by its event horizon. The event horizon has a Schwarzschild radius of,
$$r_s=\dfrac{2GM}{c^2}$$
Technically, this means that any body of mass, $M$, with a radius smaller than its Schwarzschild radius, $r_s$, can be a black hole. In other words, a collapsed star which forms...
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I'm trying to design a cube world while sticking somewhat closeish to real physics, but am not entirely sure about the physics involved with objects of non-uniform density, specifically as relates to increasing gravity near the corners and edges. Is it possible to make a cube world (with rounded ...
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At 4:57 of DidYouKnowGaming's video on rumored Mario games, the background footage shows flywatter minigame taking place in a bedroom with a Nintendo 64 DD playing Super Mario 64. At the time, they were discussing the Mario Artist games. A caption in the corner credited the footage to YouTube use...
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For a rotation matrix on SO(3), IE 3 dimensional, if the trace is -1 how do you prove it is symmetric?
Intuitively it makes sense as this is 180 degree rotation but I don't see an obvious proof.
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Say I have 5 cells in column a1:a5 and in b1 I have a multiplier number say 20.
How do I copy cell data a1:a5 to appear in the next 20 columns c to v ?
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Here as you can see the texts are overflowing the footer, I have no problem with the header. I tried setting footer height but it didn't work.
\documentclass{article}
\usepackage[a4paper, margin=0.78in]{geometry}
\usepackage{fancyhdr} % For custom headers and footers
\usepackage{multirow} % For...1
As an electronics project, I would like to create a PCB that generates random blinking lights similar to the computer panel props featured in late 60s/70s era television series:
The scale is possibly deceptive from this screenshot, but the lights were probably about 10mm overall in diameter. I a...
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I want to copy seforim (for example the Artscroll Shas) and I know people with PDFs of those seforim. Am I allowed to copy them?
Is it genaiva?
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From my dictionary, masu-stem+あぐねる seems to imply that you get tired of doing an action because you have met a setback that prevents the result you hoped for from occurring despite various efforts.
In addition, it seems to imply this is based on an accumulation of a realization that things are no...
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This answer to Is there any particular reason to choose strawberries for DNA extraction? explains that strawberries are octoploid. Wikipedia's Polyploidy and Morus nigra; Description both point out that Morus nigra or black mulberry is tetratetracontaploidic and cite two sources that both point t...
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The Boo app is stuck in sign up mode and I want to log in to my account instead.
When I delete the app and reinstall, it opens in sign up mode. It clearly remembers that I was in sign up mode from before.
I looked through my settings and see no way to clear the app’s cache or anything.
Does iOS g...
I always thought we don't say "the quantity of people", but to my surprise, there are cases when people do use it. Look at these examples:
The quantity of people losing their jobs is still on the rise. Huffington Post
What is essential here is not the quantity of people who see the work, or eve...1
I've designed an apparatus that uses stepper motors, and they are linked together so that when armature A turns, it consequently moves armature B by a ratio of 1/4. In order to keep armature B in the same position, for every 4 steps stepper A takes, I need stepper B to take 1 step. I want to "round"
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I watched a YouTube video (https://www.youtube.com/watch?v=z-0-bbc80JM) talking about the power of enums in rust for data modelling. In the video, there's an example of a state machine of a simple Mario game using enum and match to define possible states and transitions.
I implemented the same c...
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I’m getting solar panels installed, and the electrician who was here today mentioned that the inspector will need a 3 ft clearance in front of the electrical panel. The problem is, there’s a shelf mounted to the wall directly beneath the panel, and I’m not sure how to go about removing it.
The sh...
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Objective
Hi. I define a counter, say, no for my customized commands, such as
\newcounter{no}
\counterwithin{no}{chapter}
\newcommand{\no}{\refstepcounter{no}%
\theno}
\newcommand{\df}{\normalfont{\textbf{Definition \no}}\;}
Now I would like the equation counter (\theequation) f...2
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I am trying to read custom property data from a blend file using Python and Blender v4.1. In the model, custom properties (e.g. an Integer property called "ASSET_ID") was added in the Layout Workspace.
I can access the object in Python using the bpy module using a command like:
o = bpy.data.obje...
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Read a three book series where the main character was a girl with red hands. Her hands were magical. Was a while ago now… 20 years?! One detail I remember is it included a group that lived on the tops of buildings and used the rooftops and spires to move around.
Help! This has been bugging me...1
I found this wizard subclass in [this document] on DMsGuild, and I'd like to know if it is balanced compared to the existing classes.
School of the Wyrm
Knowledge of the Wyrm
Beginning at 2nd level, you gain proficiency with the Arcana
skill, and you can speak, read, and write Draconic. Your
pro...
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I have to write a report about my academic progress every year, upload it in my university account (before May 15) and schedule a meeting with my thesis committee (before May 31).
I started working on this report in the beginning of April.
There are no guidelines for this report, but from other P...
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Being interested in security, hashing in particular, I thought of a strategy that could either help or compromise password security.
The main way to ‘break’ hashes is to brute force them.
So, while sometimes it is hard to tell, most of the time you can guess or at least shortlist a few different ...
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I'm doing unattended / non-interactive package installations via
DEBIAN_FRONTEND=noninteractive apt-get install -y my_package
This works as attended in most cases, but still gives me an interactive prompt if there is config file conflict, e.g. something like this:
Configuration file '/etc/foo'
==>2
Recently, I learned about polygenic traits and it got me wondering, are there any truly Mendelian traits where the trait displayed exists in a total binary?
I have looked at some questions on the forum and this one is close enough, though I suspect that the degree to which ear wax is dry or wet w...
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Airships!
Many people love them, many see them as a flying safety hazard, especially the hydrogen-filled kind. And recently, I've thought about the other alternative:
Propeller-Airships!
I'm currently in the process of writing a lil steampunk/ retro-sci-fi comic series, taking place around the ...
I'm trying to create a beat of nested tuplets to look like this:
My attempt to reproduce that looks like this:
\version "2.24.3"
{
r4 ...3
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I am trying to solve question number 3 from the Mensa IQ test in the July 1981 issue of Omni, but can't find a pattern within the prices and letters.
Figure out the rule that is used to determine the prices below and find the price of the last item.
Watch \$46
Bracelet \$4
Earrings \$10
Chain \...8
How common is it, when applying for faculty positions, that the applicant is asked to give a talk as if they are teaching an undergraduate class? Does the likelihood of this being asked depend on how elite the academic institution is? What do they do in Ivy League/Oxbridge/elite European universi...
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I understand that Popper's falsifiability criterion is meant to demarcate science from pseudoscience. But, is that all one can expect from it?
I mean I do not care about science, but the values it holds, like explanatory power and predictability, many of which can also provided by unfalsifiable s...
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I was thinking that, from my ssa.gov webpage, it says if I retire at 62, my benefits will be about US$1800 each month, but if I retire at age 70, the benefits will be US$4000. (and will be adjusted to future inflated values).
However, does that mean it assumes that I keep on working from age 62 t...
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Q: Calculating Density Function and Conditional Expectation of Independent Exponential Random Variables
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I am trying to figure out a way for a 1st level wizard to escape from a cage.
This is the scenario:
he is trapped without any equipment (just a simple robe, and no spell left, except his cantrips: Toll the Dead, Dancing Lights, Mage hand)
into a cage with iron bars and an iron door closed with an...
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I sent my supervisor a manuscript, he did not have time to read it, gave me no feedback, and told me to put his name in the acknowledgements. I worked all by myself and one month later, I sent the new version of the manuscript to a few professors and CCed my supervisor just for transparency. Afte...
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I'm trying to simulate an evening lamp using a NE555 timer and a relay.
To do so, I'm stepping down the 230V AC household voltage to 16V by an RC circuit as shown.
Now, when I take a stand-alone circuit of the rectifier, I get this output. (Output voltage being nearly 170V)
What maybe the reaso...1
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In Job 1:12 God gives Satan permission to torment Job
The LORD said to Satan, “Very well, then, everything he has is in your power, but on the man himself do not lay a finger.” Then Satan went out from the presence of the LORD.
It’s in my understanding that only Satan will torment him.
In Job 1:1...
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I was recently reading this article by BMW, that said
The exhaust air of a hydrogen car consists of pure water vapor. The fuel cell drive is therefore locally emission-free. This means it keeps the air in cities clean
I wanted to know as to what extent is this statement true. Does this mean tha...3
I am working with a LaTeX3 template that stores a list of languages in a l3seq sequence g_languages_seq. I want to pass these to polyglossia, so in essence I want to do something like
\setotherlanguages{\seq_use:Nn \g_languages_seq {,}}
However, in some older versions of polyglossia that I need ...
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I can't think of a better name. This is similar to this challenge, but a lot easier.
Read three strings which contain only uppercase letters. The length of the first and second strings are the same. The second string and the third string are encrypted using Caesar cipher using the same key. The o...
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Here's what I can remember:
there was meat everywhere
tall octopus-like alien that "made" the meat (unsure)
the tall alien detects with a lighthouse kind of eye
smaller aliens that cant see or hear or have a general disability like that
scene where guy and maybe young girl are in a basement and ...
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The character called Discord is an agent of chaos (spirit of disharmony) that appears as a major antagonist in several episodes of My Little Pony: Friendship is Magic.
They look like a Frankenstein’s-monster hybrid of several other creatures, including elements of: deer, goat, lion, bird, lizard...
1
I am making the schematic of a 24 V power supply regulator using the LM74900-Q1 IC. When selecting the TVS diodes, I found the following design suggestion in the datasheet of another IC (LM74800-Q1) for 24 V battery systems:
Single bi-directional TVS cannot be used for 24-V battery protection be...
In Братья Карамазовы by Dostoevsky I read:
Это она от страху уверена, что выздоровеет.
Why not "от страха" instead of "от страху"? I thought that "от" was followed by the genitive case and not the dative. When should we use the dative case after "от"?
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We all know "the problem of affection" raised by Schulze:
"if causality is apriori structure of the mind and exist inside the mind, how can we claim thing-in-themselves cause phenomena when thing-in-themselves are outside the mind?"
How did Neo Kantians and Post Kantians like Hermann Cohen and Er...
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From the SEP article on negation:
In Hintikka’s (1973) game-theoretical semantics, negation is modeled by a role-switch between two players in a semantic game (cf. the entry on logic and games). A geometrical intuition of negation as inversion can be found in a paper by Ramsey, who suggested tha...
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