Mono light- A mono light is a self-contained photographic flash lighting unit usually found in a studio. It allows the fitting of light modification attachments such as umbrellas.
the two lights on the side of her are both mono lights.
Stand- A light stand is a long object in which the light is kept in place. Like a tall lamp for example.
these are the stands that hold up the light
Reflectors- a reflector is an improvised or specialized reflective surface used to redirect light towards a given subject or scene.
these are the reflectors. basically like a mirror when you are reflecting it off the sun.
Pocket Wizards- a wireless radio triggering system for off-camera lighting developed in the late 1990's. It needs a transmitter electrically connected to the camera, usually on the camera's hot shoe to trigger a remote receiver connected to a remote flash unit via a PC Cord.
Hot Shoes- a socket on a camera with direct electrical contacts for an attached flashgun or other accessory.
Sync Cord- connects a flash gun to a camera, so that when you press the shutter release, the camera's shutter opens at the same time the flash fires.
Diffuser (Soft Boxes and Umbrellas)- a device that spreads the light from a light source evenly and reduces harsh shadows.
Barn Doors- a hinged metal flap fitted to a spotlight to control the direction and intensity of its beam.
Gels- also known as lighting gel or simply gel, is a transparent colored material that is used in theater, event production, photography, videography and cinematography to color light and for color correction.
Gobos or flags- used as a type of light modifier.
Sandbags- sandbags are bags of sand that hold the stand in place so it doesn't tip over when you put a heavy light on it.
Tripods- tripods are what hold the camera when you try to take a picture but you don't want to keep holding it yourself. It also levels you camera by the adjustable bar.