#binomial coefficients

[exinasreadings]

Binomial Coefficients by DevilDoll

[angelogistics]

ok this is literally such a long shot but the course im doing is . not explaining this well to me .... does any1 know why this is the number of array accesses? i get 3 cause like . within the inner loop it accesses 3 times but why is it 1/2 n^2 lg n TwT

also ??? how tf does this work if binomial coefficients are n!/((n-k)!k!) ..... is n 3 ?? im so confused <3 

[impossibly-cold-collector]

An Archive of Our Own, a project of the Organization for Transformative Works

Chapters: 1/1 Fandom: Teen Wolf (TV) Rating: Teen And Up Audiences Warnings: Underage Relationships: Derek Hale/Stiles Stilinski Additional Tags: Alternate Universe - High School, Bullying, Happy Ending Summary:

In which brainy freshman Stiles Stilinski wants star quarterback Derek Hale to join the math team, AKA math nerds in love.

[larry-is-my-anchor1]

An Archive of Our Own, a project of the Organization for Transformative Works

In which brainy freshman Stiles Stilinski wants star quarterback Derek Hale to join the math team, AKA math nerds in love.

[devildoll]

Hello! I just wanted to say that I loved your omegamart fics! I know you probably won't update them anymore and I hope you don't feel pressured by this ask, I really just wanted to let you know how much I loved it and nothing more! and while I was going through your fics, I also discovered you were the same author who wrote binomial coefficients (somehow i never made the connection?), which is one of my favorite sterek fics ever, along with clean freak! thank you for sharing your work :)

This ask is probably a billion years old but thank you!

I feel like Omegamart ended in a really bad place…but also the perfect place. So…¯\_(ツ)_/¯

Thanks for the nice words about my stories!

[whatmaths-blog]

Binomial Coefficients

Level: A-level Mathematics and above 

About: 

A binomial coefficient nCk, also known as a combination or combinatorial number, is the number of unordered ways to choose k items from a set of n items, where n and k are non-negative integers. As the name suggests, they are coefficients in the binomial theorem.

Ever wondered where the entries for Pascal's triangle come from?         They're binomial coefficients! In this case, n is the row number,and k is the 'column' number. Both n and k start at 0, and k goes up to n in each row.

Our lesson below goes through finding binomial coefficients using your calculator and how to form Pascal’s triangle, and we have some worksheets for you to get the hang of everything. So check them out!

Lesson resources:

Presentation

Task sheets: 1, 2, 3

[stilessourwolf]

Author: DevilDoll

Rating: PG13

Summary: In which brainy freshman Stiles Stilinski wants star quarterback Derek Hale to join the math team, AKA math nerds in love.

Words: 20783

Status: complete

[cab1729]

From Pascal's Triangle to the Bell-shaped Curve

Blaise Pascal (1623-1662) did not invent his triangle. It was at least 500 years old when he wrote it down, in 1654 or just after, in his Traité du triangle arithmétique. Its entries C(n, k) appear in the expansion of (a + b)n when like powers are grouped together giving C(n, 0)an + C(n, 1)an-1b + C(n, 2)an-2b2 + ... + C(n, n)bn; hence binomial coefficients. The triangle now bears his name mainly because he was the first to systematically investigate its properties. For example, I believe that he discovered the formula for calculating C(n, k) directly from n and k, without working recursively through the table. Pascal also pioneered the use of the binomial coefficients in the analysis of games of chance, giving the start to modern probability theory. In this column we will explore this interpretation of the coefficients, and how they are related to the normal distribution represented by the ubiquitous "bell-shaped curve."

read more: http://www.ams.org/samplings/feature-column/fcarc-normal