Do you really understand

>>7803737
So... never taken a course with proofs? Or just googled the proof of whatever you want to know?

>>7803737
both of those things have a ton of explanation online senpai

>>7803742
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?

>>7803737
the calculus one works because when you factor the leading term cancels and the only one with one h(which will factor out)is nx^n-1

>>7803737
>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)]

>>7803737
Post info on that image.
How are the dots configured?

>>7803737
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.

>>7803737

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

>>7803895
seems a dot is red when its coordinates are coprime.
(the 6/pi^2 thing is from Gauss iirc, easy to understand proof)

>>7803903

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 =/

>>7803895
point (a, b) is red if gcd(a, b)=1