Jordan Measure

Jordan Measure

In mathematics, the Peano–Jordan measure (also known as the Jordan content) is an extension of the notion of size (length, area, volume) to shapes more complicated than, for example, a triangle, disk, or parallelepiped.

It turns out that for a set to have Jordan measure it should be well-behaved in a certain restrictive sense. For this reason, it is now more common to work with the Lebesgue measure, which is an extension of the Jordan measure to a larger class of sets. Historically speaking, the Jordan measure came first, towards the end of the nineteenth century.

The Jordan measure is named after its originators, the French mathematician Camille Jordan, and the Italian mathematician Giuseppe Peano.

Read more about Jordan Measure:  Jordan Measure of "simple Sets", Extension To More Complicated Sets, The Lebesgue Measure

Famous quotes containing the words jordan and/or measure:

    To rescue our children we will have to let them save us from the power we embody: we will have to trust the very difference that they forever personify. And we will have to allow them the choice, without fear of death: that they may come and do likewise or that they may come and that we will follow them, that a little child will lead us back to the child we will always be, vulnerable and wanting and hurting for love and for beauty.
    —June Jordan (b. 1939)

    The measure of a master is his success in bringing all men round to his opinion twenty years later.
    Ralph Waldo Emerson (1803–1882)