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Flat surfaces behave one way, while positively and negatively curved surfaces display very different characteristics.

And since we need to machine curved surfaces on the part's outer diameter

We've talked a lot about mirrors, in particular parabolic mirrors, that reflect light. What I want to do now is talk about lenses, or talk about what a lens is.

To understand this, you need to know two things a little bit about the math of curved shapes and a little about the physics of thin sheets.

So an app that takes a couple of days to write and then spreads virally, that's sort of a shot across the bow to the institution of government.

A FOXO is a protein that we found in these little, round worms to affect lifespan, and here it affects lifespan in people.

And these trend lines, you can see, there's more questions than answers in the laws of physics, and when we reach the end of a sentence, we place a star at that location.

This would be the principal axis of the lens right here, just like we talked about the principal axis of our parabolic mirrors.

When waves propagate in shallow water, (where the depth is less than half the wavelength) the particle trajectories are compressed into ellipses.

And hold onto your seats, because if we zoom in on those faces, remark how they have the same broad forehead, the horizontal eyebrows, the long nose, the curved lips and the small, well developed chin.

The two curved tracks, oneat an elevation of 12 meters and the other at an elevation of 24 meters, have approximate lengths of 900 meters each.

Besides the innovations he brought to the oil industry and the construction of numerous bridges and buildings, Shukhov was the inventor of a new family of doubly curved structural forms.