It associates a partially defined isometry to any symmetric densely defined operator.

A partially defined isometric operator with closed domain is called a partial isometry.

The structure of foreign participation will be partially defined by the Comprehensive Yamal Development Programme, which is due in early 2010.

But this culture has already been defined in this way partially because of the existence in it of this particular kind of music.

Improved paths may also be partially defined by the logistics necessary to build roads or railways.

The country's southern boundary with Yemen was partially defined by the 1934 Treaty of Ta'if, which ended a brief border war between the two states.

The approach involves letting truth be a partially defined property over the set of grammatically well-formed sentences in the language.

The culture of Omaha, Nebraska has been partially defined by music and college sports, as well as local cuisine and community theatre.

Leunig has partially defined his position with this statement:

Many scholars believe that this shift towards realism paved the way for ukiyozōshi, a later genre which is partially defined by its intense realism.