Numerical Analysis Questions & Answers | |
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You can come to my office in the afternoon. I'll be here tomorrow and friday, and next week from thursday.
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Sure, you can come. I'm a bit busy now thus because I have to prepare slides for a conference I'll be going to next week. So if possible, come to see me after next Wednesday.
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You need to use LATEX to write all mathematics. PI and SIGMA should be written using the same mathematical symbols I used in class. Check out the LATEX mini HOWTO in the Skylounge. Ask your question again below and I'll answer it if it is correctly typeset.
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It was written $\Pi$ — not $\pi$ — on the blackboard. I explained prod1 and prod2 again at the beginning of the class today. 0.5 point bonus for the effort.
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There is a problem with your proof. When you write $$ 4(g^2+1)x^2=x^4\mp4\epsilon_{mach} g^2 x^2+4\epsilon_{mach}^2g^4 $$ You cannot say that the term $\epsilon_{mach}^2 g^4$ is negligible because $\epsilon_{mach}^2 \ll \epsilon_{mach}$. Here, $g^4$ can be much greater than $g^2$.. Thus, $\epsilon^2 g^4$ can be as large or larger than $\epsilon g^2 x^2$ and the final answer you give for $x$ is wrong. Nonetheless I'll give you 2 points bonus for the effort.
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$\pi$ |