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Our intuitions often leads us astray. A good reminder: study counterintuitive math and economic results.

Here are 9 of them 🧵

 The Birthday Paradox

In a room of 23 people, there's a >50% chance that 2 people share the same birthday.

This type of probabilistic thinking does *not* come naturally to many people.
The Coastline Paradox

Fractal geometry is also confounding:

The coastline of a landmass does not have a well-defined measurement. As the unit of measurement gets smaller (eg. from KMs to cm), the length increases without limit.
Winner's Curse

In an auction, the winning bid will usually exceed the intrinsic worth of an item leading to a significant overpay (and negative net profit for the winner).
Braess's Paradox

Removing an extra road can make everyone's commute time faster.

Why? The existence of a "fast" road leads to congestion because everyone uses it. If you remove the shortcut, traffic flows better.
Market for Lemons

If a seller has slightly more info than a buyer (eg used cars), it can lead to market failure:

◻️Buyer will pay price below market (b/c they can't confirm quality)
◻️High-quality sellers leave market b/c can't get good price
◻️Only low-quality sellers remain
The Potato Paradox

If you take 100lbs of potatoes which are 99% water by weight and you let it dry so that they are 98% water, their new weight is 50lbs.
The Pizza Paradox

One 18-inch pizza has more "pizza" than two 12-inch pizzas (still trying to process this fact).
Littlewood's Law of Miracles

An example of the law of large numbers: A person can expect to experience events with odds of one in a million at the rate of about once per month.

(Similarly: in a world with ~8B people, a one-in-billion event will happen 8x a month)
Queuing Paradox

If bank customers take on average 10 minutes to serve and they arrive randomly at a rate of 5.8 per hour...then the waiting time for

◻️one teller is *5 hours*
◻️two tellers is *3 minutes*

Waiting time is reduced by 93x by adding a second teller.
PS. I write interesting threads like this 1-2x a week. Follow @TrungTPhan to catch them in your feed.

Also check out my weekly Saturday newsletter:https://t.co/jGZs8brnVR
Sources

Here's the breakdown of the queueing theory: https://t.co/2vunn5mMTz

Check this awesome article for dozens more counterintuitive math, science + physics facts: https://t.co/8sejjm6AkH
VERY counterintuitive fact: Gabriel's Horn is a geometric figure with:

◻️ *infinite* surface area
◻️ *finite* volume
Deep dive on the Birthday Paradox https://t.co/3AAXUUVGP9

More from Trung Phan 🇨🇦

Trung Phan
Trung Phan
@TrungTPhan
Steve Jobs famously said innovation is "saying no to 1000 things" before you say yes.

For more than a decade, Apple has used Pablo Picasso's Bull to drive home the lesson.

Here's a breakdown 🧵


In Dec. 1945, Picasso created "The Bull", a series of 11 lithographs (stone prints).

With each successive print, a bull is simplified and abstracted. Picasso's goal was to find "spirit of the beast".

At Apple, employees are taught this philosophy.


Below are the 1st, 4th and last stone print.

The bull progresses from:
◻️a realistic drawing
◻️to a deconstructed image w/ the famous "abstract" style
◻️to lines outlining a shape

Through 11 iterations, Picasso simplified the image until it captured the "essence" of the bull.


Picasso said of the abstraction process:

"Two holes. That’s the symbol for the face, enough to evoke it without representing it. But isn’t it strange that it can be done through such simple means? Whatever is most abstract may perhaps be the summit of reality.”


Enter Apple University.

In 2008, Steve Jobs tapped the dean of Yale School of Management to create an internal training curriculum for Apple.

The program was meant to teach new employees Apple's culture and design philosophy (the teachings are rarely shared with the public).
ALL
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𝚃𝚛𝚞𝚗𝚐 𝙿𝚑𝚊𝚗 🇨🇦...
@TrungTPhan
1/ Marcus Bullock went to prison in the mid-90s at the age of 15.

Today, he's the CEO of Flikshop -- the "Instagram for the Incarcerated", an alternative to the outrageously expensive phone call system.

This is a truly inspirational founder story 👇👇


2/ In 1996, Bullock was living in Maryland. One night, he and a friend carried out an armed carjacking on a man sitting idle in a shopping mall parking lot.

It was the biggest mistake of this life.

3/ Several years prior to hit actions, there was the famed 1989 Central Park "Jogger Case", in which 5 minority youths were (falsely) accused of raping a jogger.

In the aftermath, nearly every state passed new laws that made it easier for courts to try youth as adults.


4/ For the carjacking, Bullock was charged as an adult and served 8 years in prison.

With onerous prison phone charges ($18 / 15 mins), Bullock's mother kept in touch with him by sending a photo or letter every day.

"She saved me," he says of his mom's efforts.


5/ The $1.2B+ prison phone system is dominated by 2 PE-backed firms (Global Tel Link, Securus Tech).

For the right to operate these phones lines, prisons effectively pay kickbacks to state and local government. The highest kickbacks win bids, which drive up costs.
CULTURE
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Trung Phan \U0001f1e8\U0001f1e6
Trung Phan 🇨🇦...
@TrungTPhan
The most memorable interview I did this year was w/ Stanley Druckenmiller, who famously made $1B shorting the British Pound.

The trading legend's track record includes a 30-year stretch returning 30%+ a year (without a single down year).

Here are 8 investing lessons🧵

1/ Make concentrated bets in high conviction plays


2/ Concentrated bets can sometimes *reduce* risk


3/ Use a multi-disciplinary approach to investing


4/ Know when to sell (he never uses a stop loss)
FINANCE
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𝚃𝚛𝚞𝚗𝚐 𝙿𝚑𝚊𝚗 🇨🇦...
@TrungTPhan
1/ Amazon is famous for its writing culture:

• "Mock press releases / FAQs" for new product pitches
• "6-page memos" instead of Powerpoint

Two former Amazon execs wrote a book called "Working Backwards" detailing the philosophy.

Here are some insights 🧵


2/ The "Working Backwards" playbook

Instead of creating a product then finding customers, Amazon asks "What does the customer need?" and works toward the product.

✅Customer need --> Create product
❌Create product --> Find customer

3/ Write a mock press release

To determine if the customer need makes biz sense, employees write a press release:

• What problem is the new product solving
• Why it's better than existing options

To persuade a customer, the document has to be jargon-free and tell a story.


4/ Press release forces big thinking

You don't write a press release for an incremental improvements.

Creating a product worthy of a press release means really solving a customer problem and going after markets with large TAMs.

5/ Include an FAQ in press release

Addressing every potential customer question can help identify hurdles to getting something to market...and also uncover opportunities.
CULTURE
Trung Phan \U0001f1e8\U0001f1e6
Trung Phan 🇨🇦...
@TrungTPhan
For decades, Jeff Bezos shunned ads.

But now, Amazon’s ad business is huge: it’s on a $30B+ annual run rate (more than 2x the combined sales of Twitter, Snap and Pinterest).

Here’s how it happened 🧵


1/ Amazon doesn’t break out its ad business separately in financial filings. However, most analyst believe ads make up the majority of its “Other” revenue segment.

This figure has exploded from $1B in 2015 to a current annual run rate of ~$32B.


2/ In 2009, Bezos said “ads are the price you pay for a crappy product”.

But the business is so lucrative that Amazon’s interface has been swamped with ads:

◻️ First 3-7 search results (left in red)
◻️ Most of the product page (right in blue)


3/ Prior to the rise of ads, Amazon set out to build the ultimate organic customer recommendations engine.

The approach was codified in a famed 2003 research paper: “Amazon Recommendations: Item-to-Item Collaborative Filtering.”


4/ In recent years, Amazon organic recommendations:

◻️"Customers who bought this also bought this"
◻️"Customers who viewed also viewed"

Have been replaced w/ ads:

◻️ "Sponsored products related to"
◻️ "Brands related to this category"
TECH

More from Finance

10-K Diver
10-K Diver
@10kdiver
1/

Get a cup of coffee.

In this thread, we'll cover *State Quantities* and *Flow Quantities*.

This mental model can help us analyze many different entities -- from complex engineering systems to publicly traded companies.


2/

A "State Quantity" is something that's associated with a *specific point in time*.

For example, the number of followers a Twitter account has is a state quantity. This number can go up and down over time. But at any one *specific* time point, it's fixed.

3/

Similarly, the amount of cash a company has is a state quantity.

This cash balance can also rise and fall over time.

But pick any one *specific* time point -- and the company can only have one *specific* cash balance at that time point.

4/

By contrast, a "Flow Quantity" is something that's associated with a time *interval* rather than a time *point*.

For example, the number of followers gained by a Twitter account is a flow quantity. It's meaningful only when we specify a time interval (eg, the last 30 days).

5/

A simple analogy is that a State Quantity is like a photo -- a snapshot at a particular *point* in time.

But a Flow Quantity is like a video -- a record of events that take place during a particular time *interval*.
SCIENCE , FINANCE
Neil Thomas \u725b\u7287
Neil Thomas 牛犇...
@neilthomas123
THREAD: Who are the rising stars of Chinese elite politics in the central Party-State bureaucracy?

For @MacroPoloChina I analyzed last year's ministerial-level promotions to posts in Beijing

TLDR: Ties to Xi Jinping—or a Xi ally—are very helpful! (1/14)

https://t.co/kO2A0Efyq2


Seven politicians were promoted to ministerial-level positions in central Party agencies last year

All are likely to feature on the next Central Committee selected at the 2022 Party Congress

Some could make the CCP's elite 25-person Politburo (2/14)

https://t.co/kO2A0Efyq2


Likeliest for the Politburo is Meng Xiangfeng, new Executive Deputy Director of the CCP General Office

He would replace Xi ally Ding Xuexiang as CCP chief-of-staff if Ding is promoted further in 2022

Meng worked under Xi allies Cai Qi in Hangzhou and Chen Xi in Liaoning (3/14)


Less likely for the Politburo but still important is Jiang Jinquan, new Director of the CCP Policy Research Office

He replaces 5th-ranked leader Wang Huning who led the Party's brains trust for 18 years

Wang remains prominent and will be <68 in 2022, so he'll stay around (4/14)


Other notable central Party promotions include Li Shulei and Liang Yanshun, who both assisted Xi when he led the Central Party School from 2007-2012

Li is a political conservative who is said to be quite close with Xi, even drafting his 2014 speech on culture and art (5/14)
FINANCE
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MagaFarley
MagaFarley
@MagaFarley
THREAD:

What if I can prove @KLoeffler has direct financial ties to China, doing just a simple open source dive into her recent past?

It’s pretty obvious...follow along:
FINANCE
Niranjan Avasthi
Niranjan Avasthi
@avasthiniranjan
A simple thread to understand the meaning of investment cycle (Gross Fixed Capital Formation) in the economy and why it is important?
Which sectors can benefit in such cycle and why?

Do share if you find it useful.

1/n

What is Gross Fixed Capital Formation?

There are essentially 2 methods to calculate GDP of a country. Both methods ultimately tries to measure the total value of goods and services produced in the country during a particular period.

2/n

1. Income Method of GDP calculation adds up INCOME EARNED from all goods and services produced in the country.

2. Expenditure method of GDP calculation takes into account all purchases of goods and services in the country.

3/n

Expenditure method adds up all
consumer spending(C), government spending (G),
business investment spending (I), and net exports (x-m)

Formula:
GDP = C + I + G + (X − M) is the formula for EXPENDITURE method of GDP.

4/n

The “I” (investment) component in the above includes, business investments in creating new assets and spending by households (not government) on new houses also gets included in Investment.

This is known as "Gross Fixed Capital Formation"

5/n
FINANCE
Varsity
Varsity
@ZerodhaVarsity
A 🧵on the basics of block and bulk deals.

Block and bulk deals are large purchases of stocks by investment banks, mutual funds, hedge funds, pension funds, FIIs, and promoters. Tracking block and bulk deals can help give you a sense of what these large players are thinking.

A single transaction where shares more than Rs 10 crores or the number of shares traded are more than 5 lakh is considered a block deal.

Block deals are carried out in separate trading windows. This trading window operates in two shifts of 15 minutes each:

Morning trading window from 8:45 AM to 9:00 AM.
Afternoon trading window from 2:05 PM to 2:20 PM

Block deals happen in different windows to reduce volatility and sudden price movements. Given that they are traded in a separate window, they do not show up on the volume charts.

Brokers facilitating the transaction are required to inform the exchange. You can track bulk and block deals on NSE & BSE:
https://t.co/pwTyzWTnUL

https://t.co/g9BbHiEag3
FINANCE , MARKETINFO , BLOCK DEALS

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Please please please take your cyber security seriously even if you don’t consider yourself a high risk person. Here are a few easy things to start with. 1/n

Switch from WhatsApp to Signal and enable disappearing messages. Most of us cannot stop using WhatsApp entirely but at least turn off back ups to Google Drive or iCloud. 2/n

Do not have private conversations using the messaging service on any social media platform like Facebook, Instagram or Twitter. 3/n

Switch from Gmail to ProtonMail or any other secure email service provider. 4/n


Switch from Google Docs to CryptPad or RiseUp Pad.
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#THREAD
1.Meenakshi Amman Temple(472ft High)also called as Meenakshi Sundareswarar is a famous Hindu temple located on the southern bank of Vaigai River in temple city of Madurai, #TamilNadu.It is dedicated to Parvati(Meenakshi)& her consort Shiva(Sundareswarar). @LostTemple7


2.Madurai Meenakshi Sundareswarar temple was built by King Kulasekara Pandya (1190-1216 CE).This popular temple visits over 15000 visitors daily & around 25000 on #Friday !Friday sees the most number of devotees visit the temple with the number going as high as +25,000.


3.Meenakshi Temple also hosts an annual festival called Meenakshi Thirukalayanam that is held in April. A celestial wedding of the god and goddess marks the end of the festival. About 1 million devotees visit the temple during this festival.


4.the temple has been tagged as one of the seven wonders of India along with stunning Architecture.The temple is built using Dravidian South Indian style of architecture, and is one of the most impressive temple structures in South India.


5.The principle deity here is MEENAKSHI, a form of Goddess Parvati. The idol of the goddess is carved in emerald hued stone. The Meenakshi idol has 3 breasts as Meenakshi was born with three breasts and was blessed that the 3rd breast would vanish once meets right man of her life
HISTORY
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The Story of how Mary Slessor Stopped the killing of Twins but sadly died of Fever.

All you need to know

Retweet to educate someone


Killing new-born twins was common practice in the 19th century among the Ibibio people of Nigeria, but one Scotswoman went to great lengths to put an end to this.

Aberdeen-born Mary Slessor was one of the few missionaries in Africa who learnt the local language, adapted to the native customs and environment and gained the trust of the locals in order to make a truly positive impact.

Her father, a shoe-maker from Buchan, became incapacitated by alcoholism and Mary more or less became the breadwinner for the family.

From the age of 11, she worked as a ‘half-timer’ mill girl in the Baxter Brothers and Co Ltd, spending half the day at a school provided by the mill owners and the other half working for the company
HISTORY
Anastasis
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https://t.co/6cRR2B3jBE
Viruses and other pathogens are often studied as stand-alone entities, despite that, in nature, they mostly live in multispecies associations called biofilms—both externally and within the host.

https://t.co/FBfXhUrH5d


Microorganisms in biofilms are enclosed by an extracellular matrix that confers protection and improves survival. Previous studies have shown that viruses can secondarily colonize preexisting biofilms, and viral biofilms have also been described.


...we raise the perspective that CoVs can persistently infect bats due to their association with biofilm structures. This phenomenon potentially provides an optimal environment for nonpathogenic & well-adapted viruses to interact with the host, as well as for viral recombination.


Biofilms can also enhance virion viability in extracellular environments, such as on fomites and in aquatic sediments, allowing viral persistence and dissemination.
ALL
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MaMaMia 🇬🇷🇨🇾🇦🇲 Support...
@MaMaMia73189983
Following @BAUDEGS I have experienced hateful and propagandist tweets time after time. I have been shocked that an academic community would be so reckless with their publications. So I did some research.
The question is:
Is this an official account for Bahcesehir Uni (Bau)?


Bahcesehir Uni, BAU has an official website https://t.co/ztzX6uj34V which links to their social media, leading to their Twitter account @Bahcesehir

BAU’s official Twitter account


BAU has many departments, which all have separate accounts. Nowhere among them did I find @BAUDEGS
@BAUOrganization @ApplyBAU @adayBAU @BAUAlumniCenter @bahcesehirfbe @baufens @CyprusBau @bauiisbf @bauglobal @bahcesehirebe @BAUintBatumi @BAUiletisim @BAUSaglik @bauebf @TIPBAU

Nowhere among them was @BAUDEGS to find
BUSINESS