Category Archives: scitposting

Hi pure math. Yeah, YOU WON’T BE SO HAPPY NOW IF IT WEREN’T FOR YOUR APPLICATIONS. So let’s talk about that part of math that loves continuity. I talked about it before, ehe, calculus (analysis in general), differential equations, etc. YOU WOULDN’T EXIST IF IT WEREN’T FOR PHYSICS PUSHING SOME PROBLEMS THAT REQUIRED YOU TOContinue reading “scitposting 7: pure math has a crush on applications”

Haha. You probably thought calculus or differential equations was the end of your journey down, down, down the rabbit hole. Lmao no. Ok, so maybe you also acknowledged the existence of matrices and vectors in linear algebra. But then you discovered that functions are also vectors, and this property was really useful in differential equationsContinue reading “scitposting 6: ok undergraduate math is already a rabbit hole”

ADMIT IT. Most of you math and physics people love what you do because of all the symbols that make you feel smart when you write them down. Now don’t tell me you don’t feel satisfaction when you write with a sign pen. I know you feel a thrill in your hands and head whenContinue reading “scitposting 5: symbol and notation fetish”

I am only beginning to realize how crucial the interpretation of functions as vectors, or elements in a vector space, is to physics. This realization had widespread effects in classical mechanics, quantum mechanics, electromagnetics,… Interpreting functions as vectors REALLY helped in the study of Fourier analysis and calculus of variations. And those fields of mathematicsContinue reading “scitposting 4: so functions are really, really, really cool”

NO. Not the high school treatment of functions where they just find the zeroes of boring quadratic functions and the period of simple trigonometric functions. I’m talking about the vector-interpretation of functions. You got that right, functions are vectors. Not the usual real-valued vectors in 2-space or 3-space or any general n-dimensional space – youContinue reading “scitposting 3: functions are so cool”

I think many people would say, “it’s part of analysis!!”. After all, differential equations wouldn’t exist if functions over real numbers and their derivatives were not conceptualized. But like, woah, an introductory course in DEs wouldn’t make sense if not for our understanding of linear algebra. Functions are apparently also vectors, and derivatives are linearContinue reading “scitposting 2: are differential equations a part of algebra or analysis?”

I mean, calculus deals with s m o o t h stuff, like the real numbers, which is infinite and uncountable. And continuous functions are s m o o t h and unbreaking, an unbreaking line or chain of points that are not isolated. They’re chads, these points are chads, with a dense number ofContinue reading “scitposting 1: calculus is the archenemy of discrete math”