Mathematics Thread

[EBH 283]

I'll just leave this here

[Rmpr 8,977]

I'll just leave this here

Thats high school math, meh

[zolayes 14,489]

Thats high school math, meh

Junior High School

[EBH 283]

Thats high school math, meh

Great, I was hoping somebody could explain it to me. Now you have to do it, Mr High School

[CHOULO19 24,332]

Great, I was hoping somebody could explain it to me. Now you have to do it, Mr High School

What is there to explain? It's very basic:

When dealing with complex numbers (that is numbers that have both a real and an imaginary component) you can represent them as vectors or points on the trigonometric circle because obviously any point will have a component on the real (cosine) and imaginary (sine) axis. This point will have an angle (call it Theta or Fy or whatever) whose sine will be equal to the imaginary component (divided by the magnitude) and the cosine to the real part. It can also be shown that this is equal to exponential of that angle (in radians) times 'i' (square root of minus 1).

[EBH 283]

What is there to explain? It's very basic:

When dealing with complex numbers (that is numbers that have both a real and an imaginary component) you can represent them as vectors or points on the trigonometric circle because obviously any point will have a component on the real (cosine) and imaginary (sine) axis. This point will have an angle (call it Theta or Fy or whatever) whose sine will be equal to the imaginary component (divided by the magnitude) and the cosine to the real part. It can also be shown that this is equal to exponential of that angle (in radians) times 'i' (square root of minus 1).

Thank you. Please don't assume there's nothing to explain! I'm a total novice at maths

I guess my questions are not purely mathematical, they're sort of philosophical, more concerned with understanding how it is that maths forms the universe, rather than understanding how maths itself works. How can this one formula be transformed algebraically into every possible structure in the universe?

[EBH 283]

Do you guys have any experience with websites like PatrickJMT and Khan Academy? They do a good line in maths education, I've been told, and I want to start learning from scratch.

http://patrickjmt.com/#arithmetic

[CHOULO19 24,332]

Thank you. Please don't assume there's nothing to explain! I'm a total novice at maths

I guess my questions are not purely mathematical, they're sort of philosophical, more concerned with understanding how it is that maths forms the universe, rather than understanding how maths itself works. How can this one formula be transformed algebraically into every possible structure in the universe?

Maths doesn't shape the universe. It's a just one lens of reasoning we see the universe through. Sure, the mathematical formulas and models we come up with are influenced by the universe around us but arguably the main factor remains the human brain and how it constructed to analyze the world and define 'logic'. There is no reason to believe that the universe is shaped by how we perceive it. In fact, there has never been any evidence that any being, human or not, can acquire any 'truth' about the universe.