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What is a f-number?

What is a f-number? Here are some definitions.

Noun
  1. (photography) The ratio of the focal length of a lens to its diameter; a measure of the light-gathering ability of the lens.
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Examples
The light intensity reaching the film is inversely proportional to the square of the diaphragm f-number.
The configuration offers the advantage of high image quality, low distortion, and low f-number, making it ideal for spectral imaging.
His invisible father holding up the light meter, adjusting the f-number, staring down into the ground-glass screen of the twin-lens reflex.
The lower the f-number the faster the lens and, in theory, the more light it lets in.

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