Does /sci/ fully understand theories/formulas? And if so, how do you do it?.
For eg, when learning calculus, we are told to bring the power down and reduce it by one.
Or in RSA Cryptography we understand that plaintext can be encrypted with a key and can be decrypted with another different key.
Do you understand why it is done that way or do you just follow the instructions. Do you understand the principle behind it?. Or is it just me?...
I did take discrete math where we did some proving using MI, truth table, contradiction, etc... but when suddenly presented with a topic that you have no knowledge of, how do you understand it? Or rather than, how did the person that came up with the theory?
>For eg, when learning calculus, we are told to bring the power down and reduce it by one.
It's just baby's first binomial expansion/pascal triangle
(x+h)^n-x^n/h = [nhx^n-1+O(h^2)]/h = nx^n-1 + O(h) => nx^n-1
>Or in RSA Cryptography we understand that plaintext can be encrypted with a key and can be decrypted with another different key.
It's just baby's first modulo arithmetic/group theory
c = m^e mod pq
m = c^d = m^ed mod pq
where e*d=1 mod [φ(pq)=(p-1)(q-1)]
I never learn math by heart. I had to derive over half of the formulas during my vector analysis exam (which I barely passed, to little time to finish all questions). Waste of time, but at least that's how you really understand it.
the proof of derivatives is really simple
it requires you know a little about limits, too, but its basically just taking 2 points on a line and calculating the tangent when the distance between the 2 points is essentially 0
the actual formula requires you know how to calculate limits, but calculus is actually some really basic shit, all derivatives are is the gradient of a line at a point and all integrals are is the area under a line
i dont think it's a waste of time to understand what youre actually calculating. if youre just doing vector analysis im guessing youre a first year engineering student or something, youre going to struggle with later courses if you dont have a pretty good understanding of basics like calc =/