Saw A Good Explanatory Note? Let Us Know

For those of you who have been poking my profile, you may have noticed that Arron and I have several sets of notes like Algebra Techniques and Olympiad Combinatorics which have not yet been reshared. (And now you know about them!). These notes serve to explain a concept in a clear, concise manner (as opposed to presenting specific problems), and are filled with posts from the technique trainer.

I know that lots of members have already written up great notes in the past few months, and they deserve to be placed in here. Please nominate posts which you think should be added to our list, by stating the title (preferably add a link), author, and which topic it belongs in. For example

Deriving Trigonometric Identities by Daniel Liu, trigonometry / geometry

We will also be creating sets for other topics like Physics, Computer Science, Chemistry, etc, so feel free to nominate posts in those areas too!

#Notes

Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

Markdown	Appears as
`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
- bulleted - list	bulleted list
1. numbered 2. list	numbered list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1 paragraph 2	paragraph 1 paragraph 2
`[example link](https://brilliant.org)`	example link
`> This is a quote`	This is a quote
# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"	# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

For Chemistry, I like this list that @Christopher Boo added. Any further suggestions?

Calvin Lin Staff - 7 years, 1 month ago

@Yan Yau Cheng @Michael Tang @Michael Tong @Yash Talekar @Josh Petrin @Sharky Kesa @Bob Krueger @Nina Singh @Sreejato Bhattacharya @Piyushkumar Palan @Tim Vermeulen @Akshat Jain @Pi Han Goh @Sotiri Komissopoulos @Daniel Chiu @Paramjit Singh @Ivan Koswara @jatin yadav @Nicolae Sapoval @Snehal Shekatkar @Soham Chanda @josh silverman @Piyal De

Thanks for helping me get cosines group, torque group and goldbach conjureres group started. I know that there a lot of good posts then, but I didn't have the foresight to save a list.

Please suggest notes that you wrote up. Thanks!

Calvin Lin Staff - 7 years, 1 month ago

I wrote about eight articles on complex networks. I am planning to continue this series.

Snehal Shekatkar - 7 years, 1 month ago

Sir,Here are the set of notes I posted on Brilliant:

$\textbf{Number Theory:}$

Partitioning of integers

Fermat's method of infinite Descent

Catalan Numbers and their properties part 1

Euler's proof of the infinitude of primes

$\textbf{Cryptography:}$

The RSA Cipher

The Diffie-Hellman Key Exchange system

The Knapsack cryptosystem

$\textbf{Combinatorics:}$

Stacking problems(A generalized Tower of hanoi)

The weight problem of Bachet de Meziriac

Eddie The Head - 7 years, 1 month ago

Well, my entire contributions to the community so far has been in the form of problems. However, I really liked this series of notes by @Anqi Li (the link goes to the first post).

Sreejato Bhattacharya - 7 years, 1 month ago

Holy lot of people...

Finn Hulse - 7 years, 1 month ago

Cauchy Schwarz by Anqi Li , Olympiad Algebra

Calvin Lin Staff - 7 years, 1 month ago

I loved Proofs using Complex Numbers by @Sotiri Komissopoulos .

Mursalin Habib - 7 years, 1 month ago

Deriving Trigonometric Identities by @Daniel Liu , Basic Trigonometry

Calvin Lin Staff - 7 years, 1 month ago

Titu's Lemma I By Zi Song Yeoh, Olympiad Algebra

Titu's Lemma II By Zi Song Yeoh, Olympiad Algebra

Gabriel Merces - 7 years, 1 month ago

FYI: Doing an @mention is more convenient (at least to me), since that will automatically include a link to his profile and save you some work.

Calvin Lin Staff - 7 years, 1 month ago

I really like my note Quantum Mysteries by the one and only @Finn Hulse. It should help you guys understand a lot of really unexplainable concepts in theoretical physics such as length contraction, time dilation, and the effect of gravity and how it's connected to time. Enjoy! :D

Finn Hulse - 7 years, 1 month ago

Well, if you can make a new note that has all the information in the main post it would be better... I'm not exactly sure if they can use comments.

Daniel Liu - 7 years, 1 month ago

What do you mean?

Finn Hulse - 7 years, 1 month ago

@Finn Hulse – Take a look at the notes which are in the set, and you will understand what I am looking for. As stated, "these notes serve to explain a concept in a clear, concise manner, as opposed to presenting specific problems".

I do not see clear, logical explanations that are laid out in the single paragraph in the note. If you think the comments are helpful, you can work them into the note itself.

Calvin Lin Staff - 7 years, 1 month ago

@Calvin Lin – What are you talking about? What sets? What comments? What do you want me to lay into the note itself? :O

Finn Hulse - 7 years, 1 month ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$