Ok, since today is Pi (Ο€) day, maybe it's a good day to learn about it a little bit!

Here are some fun facts about the number Pi
πŸ€“

πŸ‘‡
Pi is the ratio of a circle's circumference to its diameter.

It is an irrational number, meaning it cannot be expressed as the ratio of two integers.

And its digits NEVER repeat in a regular pattern.

πŸ‘‡
As of Today, 100 trillion digits of Pi were calculated!!

The "last" 10 digits are: 43095295560

If all the digits were written to a txt file, with regular ASCII encoding, that would be a 100 Terabytes file! 🀯

You can learn more about it here:
cloud.google.com/blog/products/…

πŸ‘‡
There are some cool visualizations, api and fun facts here:

pi.delivery

Well worth visiting!

πŸ‘‡
Pi is very popular but there are other famous irrational numbers:

🐚Golden ratio: 1.618, t is often found in nature, such as in the spirals of seashells and the branching of trees

πŸ”²Square root of 2: 1.414

πŸ”£Euler's number (e): 2.718, It is the base of natural logarithms

πŸ‘‡
(
Quick fact about square roots:

Not only the square root of 2 is irrational but ALL square roots of natural numbers, other than of perfect squares are irrational too!
)

πŸ‘‡
Pi is literally infinitely long but the sequence 123456 doesn't appear in the first million digits!

So, your password is safe!

πŸ‘‡
This one will break your head!πŸ˜΅β€πŸ’«

(e^(i*pi)) + 1 = 0

This is called the Euler's identity!

Three of the basic arithmetic operations occur exactly once each: addition, multiplication, and exponentiation.

The identity also links five fundamental mathematical constants!

πŸ‘‡
Pi is a Transcendental number! (just as e)

It's not the root of a non-zero polynomial of finite degree with rational coefficients

The Square root of 2 and the golden ration aren't!!!

Now try to prove that!

πŸ‘‡
If you search pi on @google there's a memory game you can play (inside the calculator) to see how many digits you can memorize of pi

Today, according to the math rule of law, It counts as work!

πŸ‘‡
I hope you learned something new!

Share it so more people can learn too

And if you can, follow me so you don't miss future content!

What other Pi facts would you add?
πŸ€”

#PieDay
Another fun fact

Pi is of course related to the circumference, which has 360 degrees.

The digits 358th, 359th and 360th of Pi are...

wait for it...

360!!!!!!
🀯🫠

β€’ β€’ β€’

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Keep Current with Gus (πŸ€–πŸ§ +🐍+πŸ₯‘πŸ—£οΈ)

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More from @gusthema

Mar 13
Learning how to apply Machine Learning for the Audio domain can be tricky as there are aspects related to the data that might not be obvious and it's not as popular of a topic as Image or Text

Don't worry! I got you covered!

Here are some tutorials to get you started:

πŸ‘‡
The first one you should take a look at is the Recognizing Keywords tutorial:

tensorflow.org/tutorials/audi…

This tutorial goes over some of the basics and it's a great start

πŸ‘‡
Building a model from scratch with great results is hard
πŸ˜“

Stand on the shoulders of giants using a pre-trained model!

Here is a tutorial doing just that: tensorflow.org/tutorials/audi…

This model can be easily used on mobile devices and on the browser!

πŸ‘‡
Read 8 tweets
Mar 8
πŸ¦πŸ¦…πŸ¦†πŸ¦‰πŸ¦œ+ πŸ€–πŸ§  = πŸ’°

I've been working with ML for the Audio domain for a while

At first I couldn't understand much but as I kept reading I managed to figure out some things.

Let me share some of the basic theory with you:
πŸŽ™οΈπŸ§‘β€πŸ«

πŸ‘‡
Sound is a vibration that propagates as an acoustic wave.

It has some properties:
β€’ Frequency
β€’ Amplitude
β€’ Speed
β€’ Direction

For us, Frequency and Amplitude are the important features.

en.wikipedia.org/wiki/Sound#Sou…

πŸ‘‡
An important aspect is that Sounds are a mixture of their component Sinusoidal waves (follow a sine curve) of different frequencies.

From the equation below:
β€’ A is amplitude
β€’ f is frequency
β€’ t is time

πŸ‘‡

gist.github.com/gustheman/9101… ImageImageImage
Read 15 tweets
Sep 12, 2022
"How do I learn Python?"
πŸ€”

3 tips:

β€’ Do one basic tutorial πŸ€“
β€’ Practice, practice, practice πŸ’ͺ🏾
β€’ Start/Find a project to apply what you learned 🧐

"Ok Gus, how about some links?"

πŸ‘‡
I have three very good Python tutorials to get you started:

1⃣ Kaggle course: kaggle.com/learn/python

β€’ Kaggle Kernels allow you to try the code in the browser
β€’ Very good pace of content
β€’ Fun and challenging puzzles

πŸ‘‡
2⃣ THE Python tutorial: docs.python.org/3/tutorial/

This is the official one and I like it very much

It's very direct on how things work without fun exercises but some people prefer this approach

πŸ‘‡
Read 9 tweets
Aug 29, 2022
When we talk about Decision Trees in Machine Learning, one of the most popular and powerful algorithms is the Gradient Boosted Decision Trees

Do you know how it works?πŸ€”

Let me give you an easy explanation of how it worksβ€¦πŸ‘€

πŸ‘‡
Gradient Boosted Decision Trees (GBDT) is an ensemble method -> it's based on a set of other smaller models

The smaller models are just Simple Decision trees, similar to the Random Forest algorithm

πŸ‘‡
Random Forest and GBDT both use a set of basic Simple Decision Trees but are trained and work differently

The idea of the GBDT algo:

➑️to improve your model's prediction, you add new trees that make its error (distance from its prediction to the real label) smaller

πŸ€”πŸ˜΅β€πŸ’«

πŸ‘‡
Read 9 tweets
Jul 28, 2022
What are Python🐍 decoratorsπŸŽ€?

Decorator is an Object Oriented pattern that allows behavior to be added to individual objects

They can be more efficient than subclassing and in some cases it can make your code 1000 faster!πŸ‘€πŸ€―

πŸ‘‡
Python supports this pattern and you can apply decorators to functions like this:

@some_decorator
def my_function():
Some_code

This is also called metaprogramming.

πŸ‘‡
There are many built-in decorator available, like: lru_cache, data_class, singleton

lru_cache creates an automatic cache for you.
The cache, in the code below, has a ~1000 times improvement!
⚑️🀯
Read 5 tweets
Jul 7, 2022
A good programmer knows when to be lazy!
πŸ¦₯

This is so true that Python🐍 has a specific keyword to help you being lazy:

➑️yield

Let me explain:
β€’ why it's important
β€’ what's a Generator and iterable
β€’ when you should just be lazy!

🧡
An object is called iterable when you can traverse all its elements. Some common examples are lists, dictionaries or sets.

🧡 Image
You can make an object iterable by following the iterator protocol which has two methods:

β€’ __iter__
β€’ __next__

🚨Important detail: when your class runs out of values, it should raise the StopIteration exception

🧡 Image
Read 8 tweets

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