IP can enable an abstract type
of redundancy that is just not possible with any other technology.
Formally, if there are n implementing classes of a super type and the n extracted typstates parts are Mr = ([Q.sub.1], E, [S.sub.1], [[lambda].sub.1], [S.sub.1], [F.sub.1]), ..., [M.sub.n] = ([Q.sub.n], E, [[delta].sub.n], [[lambda].sub.n], [S.sub.n], [F.sub.n]), we define the protocol of the abstract type
M = (Q, [SIGMA], [delta], [lambda], S, F),where
Soon, however, he began to focus in his paintings on the composition and structure of the individual coloured surfaces, and in 1963 this line of development culminated in compositions of a geometrically abstract type
in the form of colour structures of abstracted signs.
Consider a host-provided interface for an abstract type
of file handles, fh, that includes operations to create and use them (Figure 1).
This section introduces, step by step, an abstract type
to support interaction, called a monad.
Beethoven's music is, inter alia, an expression of romanticism and no abstract type
pre-dating the foundation of the world can have that expressive character.
If the member functions needed for the abstract type
are nonvirtual member functions, introducing an abstract superclass is not possible either, since it would modify the behavior.
Because Ada is so supportive of abstract type
definitions, it was relatively easy to produce an Ada language binding.
 According to the Tate Museum, biomorphic--derived from the Greek words "bios," which means life, and "morphe," which means form--was initially used during the 1930s "to describe the imagery in the more abstract types
of surrealist painting and sculpture" (http://www.tate.org.uk/art/art-terms/b/biomorphic).
The plot is schematic and the characters--even the principal figure, Santiago the shepherd boy--are abstract types
. The narrative takes place in identifiable places (Andalusia, Tangier, the pyramids of Egypt), but they are not realized with even a minimum degree of particularity, and the time frame is vaguely preindustrial (there are undifferentiated castles and the Moors have been expelled from the Iberian peninsula).