A brief introduction to generating functions

What is a generating function? Why do we use them? A very brief introduction to generating functions.

Chapters
0:00 - Think about probability generating function as a trick to store probabilities
1:06 - How to write a probability generating function
1:57 - Mathematical operations to retrieve information from a generating function
3:22 - Power of generating functions
5:39 - Candy counting example

[CossZt]

YES! The most intuitive explanation I've seen yet, beating that of my prof's. Thank you very much!

[danielhasson]

this is literally the best youtube video I've watched all year. I have been smiling for the past 5 minutes due to how fascinating this is. mindblowing and perfect explanation. thank you so much for making my day

[mahmoudabdalmaksoud]

wow, that's really impressive, you have a unique skill at simplify concepts

[eobardthawne]

Why would anyone dislike these videos? Amazing work sir!!

[rajeevkarunanayake]

It's a good introduction to get an intuitive idea on what generative functions can do before you deep dive into a textbook. Great video!

[Mayank-mfxr]

here from reddit. amazing explaination. keeping simple things simple. no overcomplexing. retained everything. nice work dude.

[stephaniegreen]

This was such a useful, intuitive, helpful and concise video! Thank you so much!

Congratulations. You have taught me an intuitive understanding of something my lecturer did no manage to communicate across for the duration of the module.

[augustusr]

I have been trying to understand the concept of generating functions for quite a while. But couldn't find any good videos. Finally found it. Thanks you to you 👍👍👍

[gemini_]

Great introduction to generating functions! Very easy to understand! Thank you!

[cestlezooicimw]

thank you, I was looking again and again through videos who were barely explaining what the generating function is

[adilghaznavi]

What a beautiful video! Thank you for posting this on reddit. And please continue to do so.

[noahniederklein]

Very nice video! Intuitive, clear, and concise. Great examples to demonstrate the power of generating functions. Keep it up!

[stefan_eng]

Should the polynomial for even number of red candies be: 1 + x^2 + x^4 + x^6 + x^8 + x^10 instead? It looks like the x^8 term is missing.

[laibaaqureshi]

Explained so well, otherwise it was just a theory topic for me now I got practical insight. Thanks😊

[stevenshi]

Understanding the functionality of Generating function really helps for learning combinatorics, thanks!

[anwoybarua]

Thanks for precise introduction to generating functions. Would appreciate if you upload more stat-related contents on youtube.

[Armcollector]

Very high quality video. Thanks so much.

[yunzheli]

It helped me a lot to understand better of moment generating function.

[mdorghammm]

Best video I’ve seen on generating functions.