Recent content by Hernaner28

Thanks mate! I think I could fix it with this: Euler[c_, final_, step_, o_, r_, b_] := Module[{x}, x = ConstantArray[0, {Quotient[final, step], 3}]; x[[1]] = c; For[i = 2, i <= Quotient[final, step], i++, x[[i, 1]] = o*(x[[i - 1, 2]] - x[[i - 1, 1]])*step + x[[i - 1, 1]] ...

[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...

D H how do you express zero with the format you mentioned? Is that the normalized floating point representation? Is 1.0 stored or not?

Thank you all! I think I understand now

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!

Ahh I see, that's it, the least common multiple. Thanks both!

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...

Yes. That follows from the solutions for the linear diophantine equations. What do you suggest? THanks!

Homework Statement Solve the following system: \displaystyle \left\{ \begin{array}{*{35}{l}} x\equiv 1\left( \bmod 2 \right) \\ x\equiv 2\left( \bmod 3 \right) \\ x\equiv 3\left( \bmod 4 \right) \\ x\equiv 4\left( \bmod 5 \right) \\ x\equiv 5\left( \bmod 6 \right)...

Yes, I'm sure. It's \displaystyle f\left( x,y \right)=\frac{{{x}^{2}}}{{{x}^{2}}+{{y}^{2}}} and they suggest that change of coordinates.

Homework Statement Integrate: \displaystyle f\left( x,y \right)=\frac{{{x}^{2}}}{{{x}^{2}}+{{y}^{2}}} on the region: \displaystyle D=\left\{ \left( x,y \right)\in {{\mathbb{R}}^{2}}:0\le x\le 1,{{x}^{2}}\le y\le 2-{{x}^{2}} \right\} TIP: Use change of coordinates: \displaystyle...

Thanks! I'll try!

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...