You know I miss the fantasy classics when fantasy was simple but sweet. When people would write not to extend their series to ten books but for the sheer love of the art. I've read some of the current fantasy stuff like Robert Jordan, Martin but for some reason it doesn't compare to some of the stuff I read when I was a kid likes for instance, Lloyd Alexander's Prydain series, Susan Cooper's the dark is rising, Zilphia Snyder's "Below the root", the Narnia Chronicles by Lewis and even The sword of Shannara series and Thomas Covenant. There is something simple yet sweet about those classics. Maybe I have not found the latest great author yet but I miss those books still.
Monday, May 3, 2010
Sunday, May 2, 2010
We can now also consider the dilation described above to be a valid choice of f, if we let g(x)=1/8. The total mapping doesn't preserve density as we required in our simple model of Newtonian mechanics, but now we have a mapping which can be used to describe a gas whose container has expanded in volume by a factor of 2 in all dimensions. (This transformation is still forbidden if we set g(x)=1, which corresponds to the matter-creating transformation which was forbidden in the structured-Newtonian regime.)
It's worth noting that the rotation and translation maps from the Newtonian regime cannot have a decrease in density everywhere in the matter-preservation model: that is, we can't have g(x)<1>