Ax_xiom's latest activity

It may be easier to express the first two as $$ (1 - sN_i)(1 - c_i \lambda) + sN_i = 1 - c_i\lambda + sc_iN_i \lambda = 0.$$ Newton's...

After some thinking, I don't think this is possible. For an arbitrary stage i, the expression for the mass ratio will be this $$N_i =...

s will be around 0.1. These results make sense but this is a solved issue currently. This is the issue I am currently having

the ##c_i##'s and ##V_f## will be variable but the ##c_i##'s will typically be around ##2400-3000ms^{-1}## and ##V_f## will be anywhere...

This is nice, but @pasmith pointed out a way to make the Jacobian upper triangular, which makes the computation of ##\Delta X_n## much...

So not related to this specific topic but related to this project. So turns out the equations I was working with are likely wrong. So...

Do you mean it's possible to solve the linear system without using Excel's matrix operations each time? If that is correct, I believe...

There's 3 equations in my post, but that's the version for 2 stages. I want to be able to expand it up to 5 stages where the system of...

A few problems: I want to implement up to 5 stages, which would result in 6 equations and 6 variables that would need to be graphed...

So I'm working on a project where I am trying to work out what the ideal sizes of rocket stages are and I am using Excel to allow the...

I'm assuming that this is computationally inefficient and it's much faster to just solve directly. This is good to know but I attempted...

So what happens comptationally during the ##J(X_k) \Delta X_k = -F(X_k)## step? Do you express the problem as a series of linear...

So the formula used to solve non-linear equations using the Newton-Raphson method is this $$ X_{k+1} = X_k - J^{-1}(X_k)F(X_k) $$ and...

But not in the case of a coil rotating in a magnetic field (if so, are the underlying physics causing a current to be generated in a...

So in most cases, is the induction from a coil in a magnetic field not due to Faraday's Law of Induction? So the electric field is...