Recent content by whit3r0se-

Restrictions would be +/- A (amplitude)

If your frame of reference is the ground then the speed of sound from your perspective will be the speed of the medium + speed of sound through the wind

Could you clarify the frame of reference?

Consider the changes in the following; -Gravitational potential energy -Rotational kinetic energy -Linear kinetic energy

In fluid dynamics we conventionally model the medium of air to be like static particles, the scenario you have described here is the opposite. An analogy that might help you understand is a static pond, imagine swimming through there and now compare that to swimming through a sea full of...

If you factor gravity in, the point of equilibrium of the oscillations will be shifted

Agree with some of your points but I recommend you actually test this out. It converges super quick.

Well, i put ##X_3## there so people could test it out, it converges very quickly. I didn't bother writing out ## X_2 and X_1## because its fairly simple to calculate. ##X_0## refers to the original input of the formula. And as to why this is necessary, its not. There are many approximations...

Ever since the discovery of Pi, Mathematicians have been obsessed with finding methods of approximating Pi. I think I've a unique way of doing so via the Newton-Raphson. Newton-Raphson Formula: Let ## ƒ(x)=Sin(x) ⇒ ƒ'(x)=Cos(x) ⇒ X_n= X_{n-1} - tan(X_{n-1})## For example: Let ##X_0=X ⇒ X_3=...

Well that isn't very helpful, why not attempt to factor in gravity?

Adds structure to your day IMO. Also a common trait runners have is resilience and persistence, mirror that as one of your academic prerequisites and you'll fly!

Are you assuming this spring has been placed on a horizontal plane?

I see, that's interesting. I definitely feel we often seem to overlook the progression of science wholly, Geniuses like Alhazen and Leibniz are often forgotten while Newton is hailed supreme.

I was recently researching into some string theory when i came across the following summation: The sum of all natural numbers is -1/12, now I'm still wrapping my head around the context of the application within critical string dimensions, but is this summation valid? And if not, why it being...

Yes definitely agree. But how much of calculus was actually a construct of Newton, various sources claim that he indeed collated the work of a lot of Arabian mathematicians prior to him.