[Wolfram Mathematica] -- how scripts work in Mathematica
Hi. This is not a homework. I just did a script in Octave and I've just finished writing it on Wolfram Mathematica. The problem is that I don't know how to define the function, I don't know how scripts work in Mathematica.
My script...
Hi. This is not actually not part of the homework; but it's something I'd like to do.
I have to solve the following system using Newton-Raphson's method:
$$\begin{matrix}
\frac{X}{\mu }+Y=1 \\
X=\left( \lambda -\left( K-1 \right)X \right)Y \\
\end{matrix}$$
Surfing the...
Hi. I'm studying numerical methods so I found this subforum the most correct for this question.
The machine epsilon for a computer is defined as the least number e such that 1 + e is different to 1.
I just wonder, why 1 + e? And not 2 + e for instance?
Thanks!
I've looked at the solution and the next step was to say that system is equivalent to:
\displaystyle x\equiv -1\left( \bmod {{3}^{2}}\cdot {{2}^{3}}\cdot 7\cdot 5 \right)
which is a piece of cake. Even so, I do not understand what was done there. It's not the factorization of 9x8x7x6x5x2...
Yes. I know how to solve this kind of systems. To do that I always use the extended euclidean algorithm to compute the inverse of a (in the equation you wrote). But in this particular problem I have 8 equations and it would be tedious to solve one, and then replace it in the next, and then again...
Homework Statement
I've got to calculate:
\displaystyle\int_0^1\displaystyle\int_0^x \sqrt{4x^2-y^2} dy dx
Homework Equations
The Attempt at a Solution
I've tried the change of variable:
\displaystyle t=4{{x}^{2}}-{{y}^{2}} but it doesn't get better. I've also tried polar...