My first Reddit post and it's something that I'm proud of - Simulating the Truncated Triangular Distribution

Hello, R programmers!! This is my first time posting anything on Reddit, let alone this sub, but this is something that took quite a bit of effort and the result was not terrible, and so I thought I'd share it with you.

Really, I was just looking to build and deploy a basic Bookdown static site on generating random numbers but inspiration kept hitting and I kept going! I made a small book exploring some basic concepts about generating random variables (Monte Carlo simulation) and statistics using only the most rudimentary features R has to offer.

Disclaimer:

I'm not a native English speaker and, while I do major in industrial engineering, I'm still just an undergrad student learning some R and statistics. All errors are my own and all feedback is welcome!

I present to you... Simulating the Truncated Triangular Distribution!!

If you know someone who might like the contents of this book, feel free to share it!

Also, tell me if you hate it. I can take it.

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πŸ‘€︎ u/AlejoMantilla
πŸ“…︎ Feb 02 2021
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Random Triangular Distribution

Not sure if this is a good place to ask this question but I am trying to generate random data on a triangular distribution for Monte Carlo analysis using something like below:

numpyp.random.triangular(left=2, mode=3, right=5)

However, rather than specify the left and right parameters I will only know the P5 (x value corresponding to 5% on the CDF) and P95 (x value corresponding to 95% on the CDF). Is there a nice way to format such a function?

Note: I will also know the mode (P50) value.

Thanks.

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πŸ‘€︎ u/rexyboy_au
πŸ“…︎ Feb 15 2020
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Triangular Panel Supported at 3 points; what is the weight distribution?

Basically have an irregular triangle shaped panel supported at three points by spokes. I want to calculate the weight distribution across the panel to then calculate the axial force in the spokes. Any pointers on how to calculate the downwards force at a given (x,y) coordinate across the surface would be amazing!

Thanks for any help,

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Can I test that a given stream from supposed Triangular distribution is indeed from Triangular?

Can I test that a given stream from supposed Triangular distribution is indeed from Triangular?

With exponential one can compute the mean and compare it with the mean of the sample of rvs.

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πŸ‘€︎ u/mavavilj
πŸ“…︎ Nov 23 2018
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Why is the Normal Distribution bell-shaped rather than triangular?

In other words, why do the odds of a wayward measurement or shot at a target not decrease linearly with distance from the bullseye?

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πŸ‘€︎ u/jbov
πŸ“…︎ Apr 17 2014
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Alternative parameterization of a triangular distribution

I feel like I’m missing something simple. Let’s say I want to ascribe a statistical model to the likelihood of failure of an oil pipeline. Basically, a section of pipe that’s 10 miles long has twice the chance of failing as a section that’s 5 miles long. I’ve been calling this a triangular distribution, but should I represent this differently?

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πŸ‘€︎ u/pdxee
πŸ“…︎ Dec 14 2017
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[Stats] Establishing triangular distribution parameters based on known mean and variance

This isn't really "cheat at math homework" so much as it is "help me with flailing basic mathematics." I'm a final year engineering student and my final year research involves a bit of statistical analysis (risk). I'm looking to model a few parameters for a Monte Carlo simulation by using a triangular distribution.

I know that a triangular distribution is defined by three points (a,b,c) and equations for mean, variance, and even a generator function are easily derived or found online. But I can't seem to go the other way - Given a known mean and variance (through having an assumed COV) how can I derive the points a, b, and c?

My assumptions so far are that it's a symmetric triangular distribution (b-a = c-b, and mean = b). But I can't derive the values of a and c. I'm sure it's an easy enough derivation from the known formulas, but perhaps it's because it's 11pm but my brain cannot work it out.

Any help would be appreciated, cheers!

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πŸ‘€︎ u/nictheman
πŸ“…︎ Sep 06 2013
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Statics: Cantilever beam with decreasing triangularly distributed load

I'm trying to use direct integration of an applied load to find the maximum bending moment in the beam. Based on online charts, the moment should come out to (wL^2 ) / 6 but I keep getting (wL^2 ) / 3. Can anyone find where I'm messing up in my work?

http://imgur.com/a/UwFVxls

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πŸ‘€︎ u/rockets_go_boom
πŸ“…︎ Nov 08 2019
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Tillakaratne Dilshan : A Career Retrospective - Part I [OC]

Summary (TLDR)

Tillakaratne Dilshan had an interesting career that could be defined by two halves. A dependable middle order batsman who could do a little bit of everything and then a dynamic opening batsman who ranked among the best in the world for 8 years. In this analysis, we assessed how his career statistics changed after the move to opening batsman. He scored significantly more runs at a better average and strike rate after becoming an opener. He was the leading run scorer for all opening batsmen during this time span. He also ranks highly among all ODI batsmen during this time span regardless of batting position. When adjusted for different eras, a case can be made that his span from 2006 to 2011 might be the best combination of volume scoring and aggressive batting that an opening batsman ever had. He was adept at both setting targets and chasing them. He performed well in most regions only underperforming in two of them (the UK and the Middle East). In short, Dilshan was able to essay one of the most remarkable turnarounds for an ODI career after becoming an opening batsman.

Introduction

I’ve always had a fascination for cricketers (and athletes in general) who completely reinvent themselves in the second half of their career. Tillakaratne Dilshan is certainly one of these cases. The first half of his career can be summarized as an aggressive (somewhat reliable) middle order batsmen (usually batting at No. 6 or 7) with a healthy dose of part time off spin and electric fielding. The second half saw him rise to be one of the best limited over batsmen in the world, invent a new stroke (the dilscoop) and establish himself as perhaps the most consistent opening batsman that Sri Lanka ever had. I’ve always thought that Dilshan’s career as an opener can be considered as a completely different player. The differences are startling in how he approached the game and how much his value to Sri Lanka increased during that time period. Starting from this week and continuing for two more articles, I’ll be working through Dilshan’s career in both ODI and Test cricket. I hope to illustrate how the shift to opening impacted his statistics and where he ranks among all time opening batsmen. In the last article, I will be using ball-by-ball data to figure out how Dilshan constructed innings in his pomp and how he adjusted to different match situations. The focus of this article will be on his ODI career. Some of the questions I will be asking today are

  1. How
... keep reading on reddit ➑

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πŸ‘€︎ u/jeewantha
πŸ“…︎ Dec 29 2021
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[Q] any website to find MLE exercises with not so easy probability density functions?
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πŸ“…︎ Nov 19 2021
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A comparison of 5 ternary-outcome dice systems

For the latest version with inline equations and images, read this article on my wiki.

In this article, we compare several ways of creating a ternary outcome system. We'll use the Ironsworn terminology for the three outcomes: strong hit, weak hit, and miss.

A typical description of the three outcomes is:

  • Strong hit: you succeed at your task and get away without consequences.
  • Weak hit: you succeed at your task but suffer a consequence.
  • Miss: you fail at your task and suffer a consequence.

Though this will vary from game to game and possibly even between different situations within the same game.

2dN, count successes versus target number (Modiphius 2d20 without Focus)

Roll two dice, counting them individually against a target number (usually roll-under, but mathematically you could make a roll-over system with the same probabilities).

  • You score a strong hit if both dice succeed.
  • You score a weak hit if one die succeeds.
  • You miss if neither of the dice succeeds.

An example is the simplest case of Modiphius 2d20 (without Focus) where you roll the eponymous 2d20 against a single target number.

Image.

The curves are beta distributions.

The tails of this system are relatively short---once the target number reaches the end of a single die, the outcome is guaranteed.

You can scale the curves horizontally (or equivalently, change the granularity) by changing the die size.

Further reading: roll-and-keep dice pool

2dN + modifier versus two thresholds (Powered by the Apocalypse)

Roll 2dN and add a modifier.

  • You score a strong hit if the total reaches an upper threshold.
  • You score a weak hit if the total reaches a lower threshold.
  • You miss if the total reaches neither threshold.

An example is Powered by the Apocalypse, where you roll 2d6 + modifier against an upper threshold of 10 and a lower threshold of 7.

Image.

The curves are triangular distributions.

The tails of this type of system are longer than for the Modiphius 2d20-style system above, though they still reach a guaranteed

... keep reading on reddit ➑

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πŸ‘€︎ u/HighDiceRoller
πŸ“…︎ Dec 26 2021
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SERIOUS: This subreddit needs to understand what a "dad joke" really means.

I don't want to step on anybody's toes here, but the amount of non-dad jokes here in this subreddit really annoys me. First of all, dad jokes CAN be NSFW, it clearly says so in the sub rules. Secondly, it doesn't automatically make it a dad joke if it's from a conversation between you and your child. Most importantly, the jokes that your CHILDREN tell YOU are not dad jokes. The point of a dad joke is that it's so cheesy only a dad who's trying to be funny would make such a joke. That's it. They are stupid plays on words, lame puns and so on. There has to be a clever pun or wordplay for it to be considered a dad joke.

Again, to all the fellow dads, I apologise if I'm sounding too harsh. But I just needed to get it off my chest.

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πŸ‘€︎ u/anywhereiroa
πŸ“…︎ Jan 15 2022
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Is the UFO Phenomenon and government secrecy somehow connected to a tiny fraction of people that are using it in a bad way for humanity and are Harry Reid, Chris Mellon & Luis Elizondo trying to expose this?

β€œSed quis custodiet ipsos custodes”
"Who watches the watchers"
- Juvenal (ca. 60 to 130 AD), Sat. 6, 347

Rockstars, Nazis, ET’s in the Mojave desert & Super Soldiers: When you start to dive into the UFO Phenomena, there comes a time when you just don’t know what to think of it anymore.

Is it time travel? Inter-Dimensional? Could it be ET’s? Are those greys just clones? Could those triangles map the world? Are the MJ-12 documents forgeries? Did Admiral Byrd try to conquer Nazi Ufo Bases in the antarctic? Are those Draco Reptilians somehow involved? Is the Orion Group trying to conquer the earth and was the great-granddaughter of president Eisenhower really selected for a life off earth?

As ex CIA director William Casey has put it so elegantly:

>β€œWhen everything Americans believe is false,Β our misinformation campaign will be complete.”

There sure are a lot of rabbit holes you can dig into for hours. But in the end documents could be fake, statements false and people like Richard Doty even not be lying.

Back in 1991 researcher Jacques Vallee concluded in his book β€žRevelationsβ€œ that: β€žThe time has come to mount an effort to restore some sanity to this field of research. It may prove to be a difficult taskβ€œ.

As Harry Reid, Chris Mellon & Luis Elizondo stepped into the UFO arena, I hoped for some sanity - now we have a UFO report, the DoD acknowledged that a genuine UFO phenomenon exists and even 60 minutes reported.

That all kind ofΒ  sounds like a sane road to disclosure, but at the same time some kind of monoliths arrived spanning around the globe, others in the Ufo arena are keen to tell us, that those three people at the spotlight right now are just in for the β€œthreat” narrative and disinformation and an ex intelligence analyst hold a cringy press conference telling us in the mojave desert are 5 foot tall pink mantis beings that want to help us adept to fourth density.

Above all - the 2021 official government position is:Β 
β€žUFO’s are real, but they don’t know what they areβ€œ

Despite all official statements, all affidavit, all deathbed confessions and everything what has been told by officials like Philipp Corso or Jessie Marcell - I guess the government at least does know a bit more, than what it has acknowledged.

Or as Harry Reid put it in β€ž[The Phenomenon](https://www.youtube.com/watch?v=onEXmL

... keep reading on reddit ➑

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πŸ‘€︎ u/The_Cosmic-Dance
πŸ“…︎ Nov 17 2021
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KnowYourCrypto #31 - Monero (XMR)
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πŸ‘€︎ u/madpanda94
πŸ“…︎ Oct 10 2021
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Blind Girl Here. Give Me Your Best Blind Jokes!

Do your worst!

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πŸ‘€︎ u/Leckzsluthor
πŸ“…︎ Jan 02 2022
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This subreddit is 10 years old now.

I'm surprised it hasn't decade.

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πŸ‘€︎ u/frexyincdude
πŸ“…︎ Jan 14 2022
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[SECRET] Uí Ímair-class Aircraft Carrier

#Uí Ímair-class Aircraft Carrier

The Confederation of Irish-Nordic-Cypriots’ mandate within the Global Interoperable Guarantee for Allied Support (GIGAS) has shifted the calculus of STOICS Allied Maritime Command’s doctrine into a greater expeditionary stance. In order to better fulfill its expanded defensive responsibilities and support allied operations further afield, particularly in regards to GIGAS commitments to Japan, Siberica, and Canada, the Republican Navy and Royal Commonwealth Naval Army have collectively commissioned the development and construction of four modern supercarriers that will serve as a visible demonstration of the INC’s new status as a revived global force.

Named in honor of the Norse-Gael Dynasty of Ivar, the four vessels of the UΓ­ Ímair line of warships will undergo construction by the Aircraft Carrier Alliance and Maersk’s Odense Steel Shipyard, with the lead vessels of the class, the RCNA Ivar the Boneless and RN BΓ‘rid mac Ímair constructed, launched, and commissioned in eight years. The remaining two vessels, the RN Sichfrith mac Ímair and RN Sitriuc mac Ímair, will undergo a more rapid five year construction and commissioning cycle.

Given existing RN interest in stealth carrier designs, the UΓ­ Ímair-class is based on a novel hullform inspired by the former USN’s CVX 3C Stealth Monohull, Study S2 as designed by J. David McWhite, to meet the most stringent signature requirements in Radar Cross Section, infrared, and noise. The vessel inherits a myriad of conventional and quantum radar, IR, and hydroacoustic stealth technologies derived from the Visby, Gustavus Adolphus Magnus, and Viking classes, while incorporating a [Mignolecule](https://www.reddit.com/r/w

... keep reading on reddit ➑

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πŸ‘€︎ u/King_of_Anything
πŸ“…︎ Jan 09 2022
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Dropped my best ever dad joke & no one was around to hear it

For context I'm a Refuse Driver (Garbage man) & today I was on food waste. After I'd tipped I was checking the wagon for any defects when I spotted a lone pea balanced on the lifts.

I said "hey look, an escaPEA"

No one near me but it didn't half make me laugh for a good hour or so!

Edit: I can't believe how much this has blown up. Thank you everyone I've had a blast reading through the replies πŸ˜‚

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What starts with a W and ends with a T

It really does, I swear!

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πŸ‘€︎ u/PsychedeIic_Sheep
πŸ“…︎ Jan 13 2022
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Why did Karen press Ctrl+Shift+Delete?

Because she wanted to see the task manager.

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πŸ‘€︎ u/Eoussama
πŸ“…︎ Jan 17 2022
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So 2 trees got arrested in the town I live...

Heard they've been doing some shady business.

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πŸ‘€︎ u/K1ll47h3K1n9
πŸ“…︎ Jan 18 2022
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A Visitor to the Future - 56 - The Earth Reclamation Project

About two hours later the drone-craft began to slow as we approached our destination. Sarkona and I stepped up to the front window to see the eastern coast of North America come into view. Using a map, I could see that we were within fifty kilometres of Portland, in what would be the former state of Maine.

At this distance, the trees were mostly tall pines and firs, with about one-third as many being deciduous trees of one kind of another. We followed the coastline to the north, eventually coming to what seemed to be a clearing, punctuated by a mass of machinery and two sets of landing pads on which a tall rocket waited. The site was surrounded by tall, spire-like towers which were adorned with instruments, aerials, and cameras - the purposes of which I could not fathom. At the eastern side of the site, close to the water, was a large rectangular concrete structure about two hundred metres on each side appeared to be in the process of being taken apart. The building looked very functional - definitely something that pre-dated the Consortium. At the western side of the site was something which I'd not yet seen in my time in the Consortium - an actual road, made of tarmac or something close to it. Drawing closer, I could see people and machinery moving around the site - though the machinery was nothing like what I'd seen in my own time. Large six-legged walkers moved around with large mounted cranes, scoops, and waste containers, and hundreds of drones buzzed around the site, lifting large pieces of concrete and rock in the direction of the tall rocket.

We set down in a small clearing, away from the landing pads and the bulk of the work being done. As the door of our craft opened, there were two humanoid figures awaiting us - but they definitely weren't human. Bulky metallic frames packed with synthetic muscle fibres and conventional hydraulics towered over us at eight feet tall, three camera lenses set into their foreheads in a triangular shape to serve as eyes. They did not seem to acknowledge us at all, simply standing there. The dark grey metal frames that made up the bulk of their bodies were painted both green and brown in places, and a scuffed emblem of a green earth could be seen on their chestpieces. There was so much to take in that I almost missed the fact that they had four arms each.

"Super!" said Sarkona, "These are our Proxies. It's standard practice to assign them to people on sites like these. I've never seen one up-close before." Sarkon

... keep reading on reddit ➑

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πŸ‘€︎ u/chronohawk
πŸ“…︎ Jan 07 2022
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What is a a bisexual person doing when they’re not dating anybody?

They’re on standbi

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πŸ‘€︎ u/Toby-the-Cactus
πŸ“…︎ Jan 12 2022
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What is the scariest tree?

BamBOO!

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πŸ‘€︎ u/K1ll47h3K1n9
πŸ“…︎ Jan 18 2022
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How Evan reduced randomness(Calculation of armor)
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πŸ‘€︎ u/ZackZparrow
πŸ“…︎ Aug 21 2021
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What would you call two dices with expectation value 7, but a bias towards eg the 3+4 instead the 1+6 outcome

my point is that usually the outcome of the 2 dice experiment is described by the gaussian normal distribution, but i wonder how this would change if the mean value remains unchanged, but diffrent outcomes are realized with diffrent probabilities. would it remain gaussian with diffrent variance whatsoever? it does seem to depend on the exact biasedness, because for an 1 and 6 bias, one likely would expect 3 peaks in the distribution, while the mean stays 7.

what are suitable criteria to determine the effect of a given bias on the probability distribution?

i'm also happy for keywords/textbook references to look up

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πŸ‘€︎ u/PiotrSanctuvich
πŸ“…︎ Sep 02 2021
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Geddit? No? Only me?
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πŸ‘€︎ u/shampy311
πŸ“…︎ Dec 28 2021
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Retribution Engine - The Uncompressed Thunderous Fury of a Raging Lightning-Splitter

First

Previous

Next

Codex

This story is mainly being published on RoyalRoad.

It's also hundreds of thousands of words and entire arcs ahead on there.

Also, artwork of Zelsys and Zefaris

________________________________________________________________________________________________________

As Zelsys sat atop the hive, her and the Sister exchanged occasional glances. Behind the Locust Noble’s eyes roiled a volatile concoction of curiosity and battle-lust, restrained only by ironclad decorum - even down here. Thus, Zel took her sweet time browsing the Tablet - going through Fog Storage in search of anything that could be useful. There… Wasn’t much. She replenished her ammunition, switching out the odd shell so that the belt held a neat two grenades, two scattershot shells, and four slug shells, in the process also loading a fresh slug shell into her arm-cannon. If this wasn’t enough, nothing would be.

Besides ammunition, the only potentially useful objects were the remaining war-knives and bayonets, but they were all in such bad condition that she genuinely considered whether her empty hand would be better. Out of curiosity, she retrieved one of the war-knives. Its condition didn’t lie - it was tarnished, chipped, and dulled. It only had a workable cutting edge near the very tip, and even that was barely worthy of being called sharp, clearly scraped into a vague approximation of sharpness on a rock. Perhaps it would be of use as a throwaway.

Then came the new technique. A few short motions, and it was clear to see.

Unnamed Stormsurge Technique - Name Technique

Without hesitation, Zelsys assigned it the first name that popped into her head and immediately opened up its details.

THUNDERCANNON

Type: Essentia Manipulation, Weapon Enhancement

Trigger: At-Will (Consumes Fog or Metabolized Essentia (Fulgur))

Effects: Fulgur Imbuement B+, Armor Ablation C

Advancement: Produce a Thunderclap

*β€œ

... keep reading on reddit ➑

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πŸ‘€︎ u/Guncaster
πŸ“…︎ Jan 13 2022
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I wanna hear your best airplane puns.

Pilot on me!!

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πŸ‘€︎ u/Paulie_Felice
πŸ“…︎ Jan 07 2022
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E or ß?
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πŸ‘€︎ u/Amazekam
πŸ“…︎ Jan 03 2022
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What did Spartacus say when the lion ate his wife?

Nothing, he was gladiator.

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πŸ‘€︎ u/rj104
πŸ“…︎ Jan 15 2022
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Clear some common FUDs, patience is the key

Greeting, I am Ready. You can check my history to see how bullish I am viewing on bbig and how many misunderstandings I tried to clear in this sub Reddit.

Recently, I am quite frustrated because my post was removed by mod without reason. It’s just telling you all a point that fuds are spreading to blame bbig management as a liar due to delay distribution date of tyde. This kind of statement is fucking fuds as what we re actually awaiting is Record Date instead of distribution date. The fact is record date can be announced to be anytime, only need to be prior to the distribution date. It’s an uncertainty to short sellers and that’s one of the support to the price level, i.e. it’s at the minimum now. That’s why I bought the dip.

This time, I want to bring out another correct view point of bbig important movement, reverse triangular merger with Zash. It was announced dated back to last January. It’s almost 1 year passed, and I’m quite sure the next fuds will be point to this longer than expected movement and blame the management. Be prepared to this development, one way to identify fuds is that they can’t give solid reasonings but only release emotional statement.

So what’s the development? Why is it no update? If you have asked about these questions. You’d better to understand both bbig and zash are making aggressive investment on nft,metaverse,lomotif,movie,tv...etc. All these businesses show one common valuation feature: the growth could be very explosive to sharply raise the market expectations on its value. Thus, I’m quite sure the valuation of bbig and zash is very complicated now and they need more concrete figures to show convincing values to market. This is the only healthy way to build a merged company which supposes to develop sustainable business.

The management has patience. We should be patient too. Spin-off is a move out of market expectation. This action speaks that the management wants to boost the stock price now. The increasing warrants prices are also evidence to show that the professionals are viewing upward trends of bbig,

Again, do not consider the above as financial advice. I am holding shares of bbig and I maybe wrong on my dd.

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πŸ“…︎ Nov 25 2021
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Pun intended.
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πŸ‘€︎ u/Sharmaji1301
πŸ“…︎ Jan 15 2022
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Which actor drives the least?

Christopher Walken

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πŸ‘€︎ u/TR1771N
πŸ“…︎ Jan 18 2022
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No spoilers
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πŸ‘€︎ u/Onfour
πŸ“…︎ Jan 06 2022
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Covid problems
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πŸ‘€︎ u/theincrediblebou
πŸ“…︎ Jan 12 2022
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These aren't dad jokes...

Dad jokes are supposed to be jokes you can tell a kid and they will understand it and find it funny.

This sub is mostly just NSFW puns now.

If it needs a NSFW tag it's not a dad joke. There should just be a NSFW puns subreddit for that.

Edit* I'm not replying any longer and turning off notifications but to all those that say "no one cares", there sure are a lot of you arguing about it. Maybe I'm wrong but you people don't need to be rude about it. If you really don't care, don't comment.

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πŸ‘€︎ u/Lance986
πŸ“…︎ Dec 15 2021
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Spi__
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πŸ‘€︎ u/Fast_Echidna_8520
πŸ“…︎ Jan 11 2022
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What did 0 say to 8 ?

What did 0 say to 8 ?

" Nice Belt "

So What did 3 say to 8 ?

" Hey, you two stop making out "

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πŸ‘€︎ u/designjeevan
πŸ“…︎ Jan 03 2022
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I had a vasectomy because I didn’t want any kids.

When I got home, they were still there.

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πŸ‘€︎ u/demotrek
πŸ“…︎ Jan 13 2022
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[S] My first Reddit post and it's something that I'm proud of - Simulating the Truncated Triangular Distribution (Cross Posted)

Cross Posted from r/rstats, mods said it was ok.

Hello, statisticians!! This is my first time posting anything on Reddit, let alone this sub, but this is something that took quite a bit of effort and the result was not terrible, and so I thought I'd share it with you.

Really, I was just looking to build and deploy a basic Bookdown static site on generating random numbers but inspiration kept hitting and I kept going! I made a small book exploring some basic concepts about generating random variables (Monte Carlo simulation) and statistics using only the most rudimentary features R has to offer.

Disclaimer:

I'm not a native English speaker and, while I do major in industrial engineering, I'm still just an undergrad student learning some R and statistics. All errors are my own and all feedback is welcome!

I present to you... Simulating the Truncated Triangular Distribution!!

If you know someone who might like the contents of this book, please do share and let me know!

Also, tell me if you hate it. I can take it.

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πŸ‘€︎ u/AlejoMantilla
πŸ“…︎ Feb 04 2021
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