Consider the lobster

Consider the octopus.

it is a scene that would do justice to a horror movie: body clamped against the diver’s mask, one tentacle deftly turning off the oxygen supply while others tug relentlessly at the connecting hoses. Despairingly, the diver looks at the octopus and, across an immense phylogenetic gulf, camera eye meets camera eye. if the struggling diver is a biologist he might take some consolation that the gla...

and Consider the map

Consider the Strip-Tillage Alternative

seed germination, is a new alternative to no-till in areas where poorly drained soils are dominant. Where soil moisture conditions are suitable, strip-tillage creates narrow-width tilled strips, traditionally in the fall, to increase early spring soil evaporation and soil temperature in the top 2 inches. This is particularly effective in poorly drained wet soils, where slightly raised soil stri...

2. The Problems We Consider

The Cauchy-Davenport theorem states that for any two nonempty subsets A andB of Z/pZ we have |A + B| ≥ min{p, |A| + |B| − 1}, where A + B := {a + bmod p | a ∈ A, b ∈ B}. We generalize this result from Z/pZ to arbitrary finite(including non-abelian) groups. This result from early in 2006 is independent ofGyula Károlyi’s 2005 result in [13] and uses different methods.

The rhabdom of the lobster eye.

The spindle-shaped rhabdom of the lobster is a compact mass, 125)x long, by 25 /A by 25 JJ, at the widest point, composed of microvilli which extend from the 7 surrounding retinula cells. The characteristic feature is that the microvillar tubules are arranged in flat saddle-shaped plates, each about 2 ju. thick, which lie superimposed successively upon each other in a vertical stack along the o...