Let's share our love for algebra!I like how the definitions of algebraic structures build onto simpler algebraic structures defined earlier. This is so efficient and beautiful, like a perfectly written piece of code.My favorite structure is the spa

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algebra Anonymous 04/27/17 (Thu) 16:28:42 No.236

Let's share our love for algebra!

I like how the definitions of algebraic structures build onto simpler algebraic structures defined earlier. This is so efficient and beautiful, like a perfectly written piece of code.

My favorite structure is the span. It's a set of linear independent vectors "spanning up" a vector space, a great way to describe a vector space with little information.

What are your favorite constructs?

pic unrelated, it's a pixel space

Anonymous 04/27/17 (Thu) 22:30:06 No.237

I like how meaningful dot and cross products are.

Anonymous 04/28/17 (Fri) 00:22:12 No.238

I really liked algebra in HS, probably the most enjoyable form of math tbh but I've forgotten most of it at this point. I remember having lots of fun switching stuff around to solve equations like puzzles.

Anonymous 04/28/17 (Fri) 20:40:00 No.239

File: 1493412000415.jpg (40.97 KB, 300x280, 1435198423638.jpg)

I like how I can never get away from solving quadratic formulas. Three semesters of calculus and I'm back to them.

y'' + 3y' + 2y = 0

r^2 + 3r + 2 = 0

(r + 2) * (r + 1) = 0

r = -2, r = -1

y = A * r^(-2x) + B * r^(-x), where A, B are arbitrary constants

Anonymous 04/28/17 (Fri) 20:40:55 No.240

File: 1493412055678.png (209.31 KB, 453x435, 1473620059103.png)

>>239
I messed up the last line.
y = A * e^(-2x) + B * e^(-x), where A, B are arbitrary constants