Discover and read the best of Twitter Threads about #math

Most recents (24)

WTF Is...#DeFi

🏦 Finance penetrates all areas of our lives, but traditional finance (TradiFI) often lacks transparency, accessibility and accountability.

🌐 Decentralised Finance or simply 'DeFi' aims to solve these and other issues...but WTF exactly is DeFi? 👇
In Traditional Finance today, people are forced to keep their money in banks and other centralized institutions, having very little control over how those assets are actually custodied and managed.

Enter #DeFi:
• Self-custody of your assets
• True digital ownership
DeFi uses #blockchain technology to make sure there is no single party in control and no single point of failure.

Additionally, everyone with a device connected to the internet can interact with #DeFi 24/7 from any point of the world.

#DeFi banks the unbanked.
Read 7 tweets

Here is the #math on the magnitude of future returns required to get your money back after drawdowns of various magnitudes:
This may be helpful as well:…
Read 4 tweets
You know why Powell keeps getting letters?
It's not about the coming unemployment, it's because he's in process of blowing up the Federal budget as interest on debt is heading towards over $1 trillion a year in a freakin' hurry.
#math Image
Interest on debt is now the same size as the annual US military budget, which is by far the largest item in the US discretionary budget. And it's only going to get larger.
Let that sink in. Image
Read 3 tweets
In this thread we are going, finally, to implement Navier-Stokes simulation in Niagara. We should obtain something like in the gif below. #ue5 #niagara #vfx #gamedev #math
Following the steps in Stam's Stable Fluids paper, let's split our original problem into smaller ones. Basically, we solve the momentum equation (apply forces, advect velocity and diffuse it) and after that we force that computed velocity to be divergence-free using the pressure. Image
We know how to solve (from the previous thread...more or less) all the elements of last picture, except maybe the "advection" step. Luckily, it can easily solve using a method called "Semi-Lagrangian scheme". Again, I recommend you take a look to @nvidia GPU Gems blog. Image
Read 17 tweets
It's time to solve some fluid dynamics equations! These are the well-known Navier-Stokes Equations which describe the motion of a viscous fluid. #ue5 #niagara #gamedev #techart #houdini #math
There are three or four unknows in this system of equations, depending on whether we are in 2D or 3D case. The main unknows are: the velocity (two or three components) and the pressure.
The first equations, one for each component of the velocity, are called "momentum equations" and are basically Newton's F=ma applied to a little fluid element. The last equation is the "continuity equation" and it means that the flow is incompressible, i.e., density constant.
Read 26 tweets
1/ Just read @paradigm's blog on GOO: @artgobblers & its inflationary token Goo.

Some interesting game theory & neat #MATH tricks just fit together in the design.

Anyways, here's how you can earn the highest Goo emission rate. 🧵👇
2/ If you don't alr know what Goo is, just read this thread by @_Dave__White_.
3/ To get the highest Goo emission rate, first we need to understand that Goo emission is based on:
- Each Gobbler's multiplier
- Goo amount allocated to each gobbler (can be different)

The Goo emission rate will then be `sqrt(m*a)` , where m=multiplier and a=allocation of Goo.
Read 10 tweets
What if, and just go with me here, @AndrewYang, there were more effective ways to change the system than launching a third party named after your book with you as the figurehead?
Like, maybe the biggest problem with the system isn’t two parties, it’s the fact that all American voters don’t have an equal representation in their federal gov’t and that’s if they can register at all while one party actively tries to reduce the number of eligible voters who do
And again, @AndrewYang, these two slides do not show what you keep arguing they do. They show that 60% of the country is left of the moderates AND Republicans have consistently gamed state legislatures to prevent that from showing up in federal elections.
Read 4 tweets
The US debt spiral, a thread...

US Tax revenue $4T
minus: Entitlements $2.8T
minus: Defense $0.8T
leaves: $0.4T

Annual interest exp is $400B (at historic low coupons)

Interest coverage ratio is 1X (solid CCC ratio for corps)

The debt spiral accelerates as new debt is issued at HIGHER coupon.

Ex: $30T in outstanding debt x 3.2% coupon is $1T in annual expense...(an increase of $600B/yr)

This is BEFORE any new deficits and a reduction in revs due to lower capital gains

So the debt spiral grows organically even in the absence of new spending.

How does the treasury fund the debt spiral?

QE infinity. Pure #math.

Unless: IMF financial repression model >> YCC plus hot inflation to grow GDP faster than coupon

Read 4 tweets
Part 2 of Bank Runs thread continues below. The beginning portion of this thread can be found here:

Banks kept a portion of reserves as cash in their vaults and the bulk of their reserves as deposits in correspondent banks in certain cities.

Many, but not all, of the ultimate correspondents belonged to the Federal Reserve System.

This reserve PYRAMID setup limited...
country banks’ access to reserves during times of crisis. When a bank needed cash-- because its customers were panicking and withdrawing funds en masse -- the bank had to turn to its correspondent, which might be faced with requests from many banks simultaneously or...
Read 10 tweets
Queuing up for tonight's sold out (but streaming) Community Lecture by Fractal Faculty Professor @seanmcarroll!
🧵 Follow this thread as we look into Schröedinger's Box with @seanmcarroll (newly appointed to Chair of #NaturalPhilosphy at @johnshopkins) and learn about the #ManyWorlds hypothesis of #QuantumMechanics:

"Even if we're wrong, it's not magic, it's #physics, it's #science, and it can be understood."

"When we look at the world, we don't see the entirety of reality. What reality is, is the #superposition of the many different ways..."

"#Space is one of the many things in #reality."
Read 24 tweets
Some fun #math and #btc (thread)

5yr CDS on the USA is 20bps (20k/yr to insure 10MM of debt against default)

Total federal debt for USA is $30T funded plus $160T unfunded

20yr CDS equiv is 80bps so:

$190T debt x .8%p/a = $1.52T premium

#btc mkt cap of $375B

/2 #btc can be considered default insurance on a basket of Fiats,

#btc has a value of LESS than one third the total premium for the USA,

thus you are getting CHEAP protection on the USA AND protection on ALL other Fiats for FREE...w/ no counterparty risk nor time decay.

Read 3 tweets
Below is an on-going list of DD I have written. Each subject is organized into general topics with more DD tweeted and linked respectively. Any and all of my future analysis and research will be added to this pin.

The DD is never done.

The #Algorithm. The Ouroboros: Characterizing #GameStop share price and reverse engineering #HFT #algos.

10/4/21: Part 1…

11/18/21 Part 2… Image
Read 14 tweets
Kiddos feeding calves at the Watertown dairy breakfast!
#math: Each day, 132lb of food + 1 cow = 12 gallons of milk
Read 6 tweets
Judging from our twitter feed the past couple of days of #bitcoin price action, some of you have obviously not read The Price of Tomorrow or listen to @JeffBooth podcasts like AT ALL
Time for a thread 🧵👇

WTF is deflation?
It's when goods and services go down in price versus your money?

Is that a bad thing?
No... normally... wait what???🧐🧐
Correct. Deflation is good thing. In deflation, which is the NATURAL ORDER OF AN ADVANCING SOCIETY, people would save more money (because their cost basis for things they want and need is lower).

But that's just first order effect, what's more...
Read 10 tweets
Calculus, Pythagoras theorem, and other equations driving you crazy?

AppsHive has listed down 𝐌𝐚𝐭𝐡𝐬 𝐅𝐨𝐫𝐦𝐮𝐥𝐚 𝐀𝐩𝐩𝐬 required by beginners, intermediate and expert level mathematicians

#appshivrecommends #maths #Math #Mathematics #mathematician #apps

A thread📜
1) @symbolab

What we liked:🤩

👉Have a private tutor for every math problem step by step
👉Provide step-by-step detailed explanations
👉Has 100+ most powerful and different types of calculators to use
👉Fast calculations, shows steps, has an option to check your answer
2) @mathway

What we liked:🤩

👉Can snap or crop and paste the photo of any math problem
👉You can choose between multiple subjects
👉Provides an instant graph of your problem
👉Provide books and the teacher video lectures
Read 7 tweets
But what p-value means in #MachineLearning - A thread

It tells you how likely it is that your data could have occurred under the null hypothesis


#DataScience #DeepLearning #ComputerVision #100DaysOfMLCode #Python #DataScientist #Statistics #programming #Data #Math #Stat
What Is a Null Hypothesis?

A null hypothesis is a type of statistical hypothesis that proposes that no statistical significance exists in a set of given observations.

#DataScience #MachineLearning #100DaysOfMLCode #Python #stat #Statistics #Data #AI #Math #deeplearning
A P-value is the probability of obtaining an effect at least as extreme as the one in your sample data, assuming the truth of the null hypothesis

#DataScience #MachineLearning #100DaysOfMLCode #Python #DataScientist #Statistics #Data #DataAnalytics #AI #Math
Read 11 tweets
Did you know how TensorFlow can run on a single mobile device as well as on an entire data center? Read this thread


#TensorFlow #DataScience #DeepLearning #MachineLearning #ComputerVision #100DaysOfMLCode #Python #DataScientist #Statistics #programming #Data
Google has designed TensorFlow such that it is capable of dividing a large model graph whenever needed.

#TensorFlow #DataScience #DeepLearning #MachineLearning #ComputerVision #100DaysOfMLCode #Python #DataScientist #Statistics #programming #Data #Math #Stat #AI
It assigns special SEND and RECV nodes whenever a graph is divided between multiple devices (CPUs or GPUs).

#TensorFlow #DataScience #DeepLearning #MachineLearning #ComputerVision #100DaysOfMLCode #Python #DataScientist #Statistics #programming #Data #Math #Stat #AI
Read 9 tweets

"roc_auc_score" is defined as the area under the ROC curve, which is the curve having False Positive Rate on the x-axis and True Positive Rate on the y-axis at all classification thresholds.

#DataScience #MachineLearning #DeepLearning #100DaysOfMLCode #Python
Read 16 tweets

Alibi Detect is a Python library for detecting outliers, adversarial data, and drift. Accommodates tabular data, text, images, and time series that can be used both online and offline. Both TensorFlow and PyTorch backends are supported

#DataScience #DeepLearning

Supports a variety of outlier detection techniques, including Mahalanobis distance, Isolation forest, and Seq2seq

#DataScience #DeepLearning #MachineLearning #ComputerVision #100DaysOfMLCode #Python #DataScientist #Statistics #programming #Data #Math #Stat #pythoncode
Read 10 tweets
What is p-value - A thread

It tells you how likely it is that your data could have occurred under the null hypothesis.


#DataScience #DeepLearning #MachineLearning #ComputerVision #100DaysOfMLCode #Python #DataScientist #Statistics #programming #Data #Math #Stat Image
What Is a Null Hypothesis?

A null hypothesis is a type of statistical hypothesis that proposes that no statistical significance exists in a set of given observations.

#DataScience #MachineLearning #100DaysOfMLCode #Python #stat #Statistics #Data #AI #Math #deeplearning
A P-value is the probability of obtaining an effect at least as extreme as the one in your sample data, assuming the truth of the null hypothesis

#DataScience #MachineLearning #100DaysOfMLCode #Python #DataScientist #Statistics #Data #DataAnalytics #AI #Math
Read 10 tweets
You know I always add some #math spice into my #gamedev courses, and that usually means touching some cool linear algebra.

But something most students still struggle with is the *intuition* behind the #Determinant of a matrix.

Let's quickly look at it together...🙂

[1/18] 🧵
Since we are really interested in building some *intuition*, let's look at the determinant of a 2x2 matrix first.

When we were in high school, we learned that the determinant of a 2x2 matrix is given by:

| a b |
| c d | = a*d - b-c

But, where does that come from?

Seki Kōwa was a Japanese mathematician from the Edo period, and he was sometimes described as "Japan's Newton."

He had Samurai origins but was adopted into the noble Seki family, subject of the shōgun.

As a kid, it was visible that he had great potential with numbers.

[3/18] Seki Kowa
Read 20 tweets
There is a beautiful way to derive the famous Euler’s formula!

In this🧵, I’ll explain a visual, intuitive derivation. It’ll fit into a single picture at the end.

#iteachmath #MTBoS #math #maths #Mathematics An equation with 𝑒^(𝑖𝑡) on ...
This is Thread 3 in a series, but don't worry! This thread is self-contained.
In Thread 1, we saw applications of a mass on a spring.

We solved for its future position, at time 𝑡. This led to 𝑒^(𝑖𝑡), but 𝑖 is "imaginary."

The position along the ground had to be “real,” so we sought to interpret 𝑒^(𝑖𝑡) in terms of real numbers.
Read 19 tweets
Every reason you would buy the UST30YR right now is twice the reason you should buy #btc. A thread…
The Fed will invoke QE infinity and YCC shielding bonds…

Yes but currency debasement is thus accelerated…therefore #btc over the UST30YR
We are heading to a recession and #bonds always perform in recessions…

Yes but the next recession could be the one that gives up the ghost and QE causes credit contagion and collapse…therefore #btc over UST30YR
Read 5 tweets

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