Patent application 2010-186640 is for a flash with built-in cooling fan:
"Problem to be solved: to provide a heat radiation device for easily installing on an existing lighting device and surely radiating heat of light-emitting section."
Patent application 2010-186641 appears to be for a new small flash:
"Problem to be solved: to provide a lighting device for surely and effectively radiating heat of a light source and a battery only by circulating air through one passage."
Patents 2010-176015 though 2010-176018 all pertain to a 24mm f/2.8 or f/3.5 full frame lens:
omega = 41.86 "
sigmad = 36.297
omega = 42.31 "
sigmad = 28.400
Patent application 2010-181725 allows the camera to show detailed data for the attached lens. The interesting part is that one of the lenses listed as an example is 80-200mm G, maybe the "G" is just a typo:
"Problem to be solved: to provide a digital camera that is lens-interchangeable, making the lens constitution and operation of an interchangeable lens visually recognizable, arousing strong interest, and allowing exact use of a plurality of possessed interchangeable lenses..."