As for why girls avoid science and/or math, imo not only girls, many guys also
avoid hardcore science like math, and that's why it has never been in the top
10 list of favorite major (at least in my country). I noticed that there are more
guys than girls in the math dept during my years, but I supposed that has
something to do with the percentage of overall enrolled students as well. There
were more male than female students in my Uni.
Hardcore science like Math is also known as boring or difficult (according to my
observation). Math is exact, it's not like social sciences like philosophy, economy,
etc, which are more down to earth; everyone can learn the 'language'. Math has
its own 'language'. Even if the discussion is in English, I don't have a single clue
wth this people talk about
over here:
Ok, I've tried to come up to speed on the initial problem space of finding all algebras in vector spaces of $$n$$ dimensions, where you have $$n \times \left( \begin{array}{cc} n \\ 3 \end{array} \right)$$ equations in $$n \times \left( \begin{array}{cc} n \\ 2 \end{array} \right)$$ variables (or $$n^3$$ variables if you like, but then you get a lot of equations that set them to zero or equal and opposite to others). Or am I crazy to think that the Jacobi identities of basis vectors written out longhand in terms of the basis expansion vectors to be a natural starting point? So since $$n > 2 + 3$$ there are more equations than unknowns, would you tackle this as sort of a computer sudoku problem (up to isomorphism) over a limited subset of $$\mathbf{Q} \left[ \surd , i \right]$$? I'm not sure, but $$\left\{ \left. \sqrt{p} / q \right| p \in \left\{ -n^2 ... n^2 \right\} , q \in \left\{ 1 ... n \right\} \right\}$$ looks like a likely starting point to me. But then, I would want to prove that before basing my Ph.D. defense on it.
Mind you, 2000+ equations like $$\begin{eqnarray*}
0 & = & K_{aba} K_{aig} & + & K_{abb} K_{big} & + & K_{abc} K_{cig} & + & K_{abd} K_{dig} & + & K_{abe} K_{eig} & + & K_{abf} K_{fig} \\
& & & - & K_{abg} K_{aia} & - & K_{abg} K_{bib} & + & K_{abg} K_{gig} & + & K_{abh} K_{hig} & - & K_{abj} K_{ijg} \\
& - & K_{abk} K_{ikg} & - & K_{abl} K_{ilg} & - & K_{acg} K_{bic} & - & K_{adg} K_{bid} & - & K_{aeg} K_{bie} & - & K_{afg} K_{bif} \\
& & & - & K_{agg} K_{big} & - & K_{ahg} K_{bih} & + & K_{aic} K_{bcg} & + & K_{aid} K_{bdg} & + & K_{aie} K_{beg} \\
& + & K_{aif} K_{bfg} & + & K_{aig} K_{bgg} & - & K_{aig} K_{bii} & + & K_{aih} K_{bhg} & + & K_{aii} K_{big} & + & K_{aij} K_{bjg} \\
& & & + & K_{aik} K_{bkg} & + & K_{ail} K_{blg} & - & K_{ajg} K_{bij} & - & K_{akg} K_{bik} & - & K_{alg} K_{bil}
\end{eqnarray*} $$ looks like a job for a computer to me. But keeping track of the signs, identifying pivotal unknowns to queue up for guessing and importing the desired 6-dimensional algebra (90 vars?) is exactly where you want the computer assist in finding the remaining 702 vars.
Or is it rubbish? I certainly don't feel brilliant in this, my inaugural post. But I look forward to associating with you two as best I can. Someday I might actually be able to read the physics thesis.
-RP
TeX is fun.
:runaway: It takes really dedication and intellectuality to pursue that type of stuff.
On the other hand, there are just so many more interesting fields for girls, in
and out of science. As far as I concern, girls favorite science are more into
medical, biology, environmental eng., or social sciences. There are also so
many fields of profession which are preferable for girls like secretary, banker
(you know, the outfit is cool

), stewardess, entertainer (acting, modelling),
nursing, and anything related with people's daily life. Perhaps in general girls
are more interested into stuffs related with people or life instead of numbers,
machines, rock layers, and that type of stuffs.