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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
Trung Phan \U0001f1e8\U0001f1e6
Trung Phan 🇨🇦...
@TrungTPhan
The Wall Street Bets due diligence on Wendy’s is gold.

The catalysts are:
◻️ The release of a new summer salad
◻️ The @Wendys Twitter account, which has mastered “meta pragmatic roasting” (which is effective with younger people)
◻️ The fact it literally sells chicken tendies


OP:

Here’s a more fundamentals-driven analysis of Wendy’s

https://t.co/A2k19S9M7J


😂😂😂


Further Wendy’s analysis from @CliffordAsness !!
PUMP DUMP
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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
Trung Phan \U0001f1e8\U0001f1e6
Trung Phan 🇨🇦...
@TrungTPhan
A Netflix user will browse the app for 90 seconds and leave if they find nothing.

Thumbnail artwork is actually NFLX's most effective lever to influence a viewer's choice. A user will look at one for only 1.8 seconds, so NFLX spends huge to optimize them.

Here's a breakdown🧵


1/ Spoiler alert: humans are visual animals.

Our eyes move 3-4x per second to process information and we can analyze an image in as little as 13 milliseconds.


2/ In 2014, Netflix consumer research showed that thumbnail artwork:

◻️ is "the biggest influencer...to watch content"
◻️ is the focus of 82% of browsing time

A user looks at one for only 1.8 seconds. If they can't find Netflix content in 90 seconds, they'll leave the app.


3/ Consequently, Netflix uses an elaborate thumbnail selection process for each of its 200m+ users.

The process is called aestethic visual analysis (AVA), which starts by pulling all the frames from a video.

For reference: a 1hr episode of "Stranger Things" has 86k frames.


4/ In a process known as "Frame Annotation", each frame is tagged with metadata identifying key variables:

◻️ Saliency
◻️ Frame #
◻️ Brightness / Contrast
◻️ Nudity probability
◻️ Face / skin tone
ALL , MARKETING INSIGHTS
\U0001d683\U0001d69b\U0001d69e\U0001d697\U0001d690 \U0001d67f\U0001d691\U0001d68a\U0001d697 \U0001f1e8\U0001f1e6
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

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Subhadip Nandy
Subhadip Nandy
@SubhadipNandy16
The most common problem faced by day-traders and it's easy solution which is extremely difficult to implement.
A thread.
( uses concepts I have discussed many times before in separate threads)

Problem : I have a good system, I understand charts and/or price action, but I simply can't make money. I hold my losses too long or ( this is most common) I get out of profitable positions too fast and cannot sit for the whole move

At many firms at NASDAQ, day-traders are seen as elite sportspersons playing in a difficult taxing game. That's why, they have regular sessions with sports psychologists. They are advised to follow the basic routine of sportspersons.
Train ---- Play tournaments --- Rest

The cycle repeats

We retail day-traders here neither rest nor train.

Rest = taking time off markets
Train = trading in markets in training mode

Understanding REST is easy, simply take time off markets and spend time with family or do something you love
FINANCE
Saturnalia "Ultimate Survivor" Sundown
Saturnalia "Ultimate S...
@SaturnaliaSund1
Hello friends, I am back! I have been doing a ton of financial research and am very disturbed by what I have learned.

Please enjoy a long (irresponsibly LONG) story about central banking, manufactured crises, George Soros, and the Great Reset.


This thred will be much longer and more dry than my usual, pls bear with me. This one's legit important. The first portion will reference works by Dr. Richard Werner, and the latter George Soros.


Note my views are not indicative of those of people quoted. This post does not constitute investment counsel.

To understand current financial conditions you bare minimum have to go back to WWII. Bretton Woods has just been signed, establishing the IMF and World Bank, and the USD as standard for international settlement.


But we're not talking about US history (yet), we have to look at Japan. Unlike Germany, which had it's economy stripped down and sold off by the victorious Allies, Japan's system remained remarkably intact.
FINANCE
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Indian Quant \U0001f1ee\U0001f1f3
Indian Quant 🇮🇳...
@indian_quant
Nano Course On Python For Trading
==========================
Module 3

In this post, I will attempt to teach you how to write an algorithm in python to automatically find support and resistance. We shall use the data we downloaded in module 2.

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To visualize price action, I have used the daily candlestick chart. To quantify the meaning of support and resistance, I have taken below definitions:
In a series of 5 continuous candles, if the first three candles make increasing high and then 2 decreasing highs, then the

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high of the third candle is considered resistance. Similarly, if the first 3 candles make lower lows and the next 2 make high lows then the low of the third candle is support.

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The above explanation is for the sake of quantifying support and resistance at a very basic level. These are called fractals. Now let's get started with the code.

mpl_finance is the new module here. We will use its candlestick_ohlc function.

+


Now, if you remember, you downloaded data for nifty 50 stocks in module 2. We shall use that data. Let's work on ITC data this time.
We will use data from 1 Jan 2021 to 30 June 2021.

+
FINANCE , PYTHON , ALL
Investment Books (Dhaval)
Investment Books (Dhav...
@InvestmentBook1
10 Key Takeaways from the book: The Emotionally Intelligent Investor


1. Investing success does NOT come from ignoring or suppressing emotion. Assuming that you have relevant expertise, disregarding intuition and empathetic feelings because they cannot be explained, is a mistake!

2. Self-awareness is the first and most important step in improving as an investor. An investment approach needs to fit with your unique set of motivations, personality traits, weaknesses, and strengths. Don’t try to be exactly like Warren Buffett if you are not like him!

3. Humans have certain common investing vulnerabilities, but everybody is unique in their susceptibility to them. Consider your weaknesses to be the investing biases and traps to which you are most prone.

4. Because we are constantly changing, introspection should be incorporated into the daily and weekly routines of any investor. Try writing in a trading/Investing journal.
FINANCE
Chuck Marr
Chuck Marr
@ChuckCBPP
I sense a few double standards present in the debate over Bidens’ historic Child Tax Credit proposal that would cut the child poverty rate by more than 40%.

My focus here is on a perhaps less obvious one but I think relevant: trust fund kids & the tax treatment of inheritances

Since the mid-1990s, as I’ll walk through, reducing the taxation of large inheritances has been a top, if not the top, tax policy priority of conservatives and Republicans.

In parallel, as I’ll also walk through, there has been a steady stream of research concluding that large inheritances reduce the work effort of wealthy heirs

Unless I’ve missed it, I’ve not sensed the type of concern about the work effects on wealthy heirs among conservative proponents of large tax-free inheritances, which we now see among some conservatives and Republican lawmakers around poor people and a larger Child Tax Credit

In 1997, as part of an agreement with Clinton, who secured wins to make health care more affordable for poor children and college tax credits, Gingrich won “reductions in capital gains and estate taxes that had been principal goals for the GOP.”
FINANCE

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Khatvaanga
Khatvaanga
@khatvaanga
Sri Gurubhyo Namaha.


After the phenomenon called Sri Chandrasekhara Bharati came another one - Sri Abhinava Vidya Teertha [1954-1989] the 35th Jagadguru. Srinivasa was born on Nov 13, 1917. He was initiated into Sanyasa by Sri Chandrasekhara Bharati in 1931. He was Jagadguru for 35 years.

He was chosen and specifically trained to take over Peetadhipatyam from Sri Mahaswami. He is majorly responsible for the way Sringeri currently is. He built various buildings for devotees, Gajashala, Gooshala etc.

Acharya on conversions:
Once a person approached Sri Acharya that some other religions are trying to convert Hindus and requested Sri AVT to do prevent these conversions.

AVT replied - what do u mean by religion? Religion i.e. mata is related to 'mati' or intellect.
Caste is called 'jAti' which is related to janana or birth.
Ex- breed of a cow. we cannot change its qualities to resemble another breed by changing its name.
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SK
SK
@sk_diary1
#DoYouKnow -The place where
Lalitha Sahasranamam -1000 names of Devi originated.

It is in Lalithambigai temple -Thirumeeyachur,Near Mayiladuthurai,TN

There is a Legend #story & it is related to this beautiful #sculpture of Kshetrapuraneswarar & Ambal Lalithambigai #Thread 👇


#Legend #story
It is believed that this is birth place of Kashyapa Maharishi’s sons, Arunan& Garudan. Arunan(charioteer of Surya)was physically handicapped.He was a Shiva devotee.Arunan wanted to visit Kailash to have Shiva Darshan,but Surya Dev denied permission.

So Arunan disguised as a girl & was on his way to Kailash.On the way Surya Dev saw this girl & outraged her modesty.Shiva was very angry with Suryan for misbehaviour & cursed him to get darkened. Whole world plunged into darkness.Surya Dev pleaded to Bhagwan Shiv to forgive him.

Shiva Bhagwan asked him to go to Thirumiyachur & worship him there. As advised, Surya Dev performed rigorous penance, placed murthi of Shiva& Parvathy on an elephant & took them to the clouds.Shiva in this temple is known as Meganathaswamy,Devi is known as Lalithambigai


Even after severe penance,Shiva does appear,so Surya Dev cries out in agony.Disturbed by his call, Parvathy protests.Siva pacifies her & offers relief to Surya Dev.The sculpture of Shiva pacifying Ambal shows her sullen from one angle &smiling from another.
RELIGION
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History Of Rajputana
History Of Rajputana
@KshatriyaItihas
**Thread on Bravery of Sikhs**
(I am forced to do this due to continuous hounding of Sikh Extremists since yesterday)

Rani Jindan Kaur, wife of Maharaja Ranjit Singh had illegitimate relations with Lal Singh (PM of Ranjit Singh). Along with Lal Singh, she attacked Jammu, burnt - https://t.co/EfjAq59AyI


Hindu villages of Jasrota, caused rebellion in Jammu, attacked Kishtwar.

Ancestors of Raja Ranjit Singh, The Sansi Tribe used to give daughters as concubines to Jahangir.


The Ludhiana Political Agency (Later NW Fronties Prov) was formed by less than 4000 British soldiers who advanced from Delhi and reached Ludhiana, receiving submissions of all sikh chiefs along the way. The submission of the troops of Raja of Lahore (Ranjit Singh) at Ambala.

Dabistan a contemporary book on Sikh History tells us that Guru Hargobind broke Naina devi Idol Same source describes Guru Hargobind serving a eunuch
YarKhan. (ref was proudly shared by a sikh on twitter)
Gobind Singh followed Bahadur Shah to Deccan to fight for him.


In Zafarnama, Guru Gobind Singh states that the reason he was in conflict with the Hill Rajas was that while they were worshiping idols, while he was an idol-breaker.

And idiot Hindus place him along Maharana, Prithviraj and Shivaji as saviours of Dharma.
HISTORY
Anu Satheesh
Anu Satheesh
@AnuSatheesh5
Sri Mridanga Saileswari Temple Muzhakkunnu, Kannur KERALA

The temple is established by Parasurama and it is one among 108 Durga temples.
Devi will answer all the prayers of her devotees who pray to her with utmost devotion lighting the ghee deepam.


It is the family diety of Kerala Varma Pazhassi Raja.
Devi is present in three forms Kali, Saraswati and Lakshmi.

Legend...👇
Once a Mridungam ( musical instrument) shaped rock fell from heaven here.
@SriramKannan77


Devi originated in the form of Mridangam and Parasurama captivated the essence of Devi into a Vigraham. Vigraham is made of Panchaloham.
Kathakali, an art form of Kerala originated here.


Temple Vigraham was stolen 3-4 times, but because of power of Devi all the attempts were failure. Police records says that Whenever the thieves try to steal, they lose their senses, and they will be in a confused state. So they will abandon the idol.
🕉
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Bharadwaj
Bharadwaj
@BharadwajSpeaks
Today is Jayanti of Ahilyabai Holkar

She was a widow who became Malwa's greatest queen. Defended our country & personally led armies into battle.Never plundered anyone. Developed Malwa into a prosperous kingdom. Rebuilt temples destroyed by Mughals. Built Dharmashalas at Tirthas


Unfortunately, her memory has been blemished by inaccurate representations in modern popular media.

The serial "Punyashlok Ahilyabai" depicts her as ultra secularist feminazi icon who questions Hindu rituals & Pandits while patronising Sufis.

This is far from historical truth!


Ahilyabai was born on May 31 1725 to Patil Mankoji Shinde.

She was from Dhangar clan(classified as OBC today). While Dhangars were traditionally into herding, they took up arms & held several military /civil roles in various eras of history(especially during Maratha resurgence)


In 1737, when she was 12, Ahilyabai Holkar was married to Khanderao , son of Subedar Malhar Rao Holkar.

By the time she was married, fortunes of Holkar family had already waxed.

Malhar Rao was a Subedar of territory comprising 30 Parganas yielding a revenue of at least 7 Lakh


In 1741, when Ahilyabai was newly married, her father -in-law Malhar Rao Built Indore palace & ordered the kanungo to populate the settlement with a promise of protection to traders.

This began rise of Indore from its background as modest trading town Indrapuri to a great city
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