Definition of "dimensionality" in Anglais

noun

1. The state or characteristic of possessing dimensions.

2. (chiefly mathematics and computing) The number of dimensions something has.

   • That is to say, it is the Analogue of Space, not in the sense in which we formerly regarded Space as the negation of Matter; but in the sense of Infinite Dimensionality, or of Dimensionality in all directions, as a vague generalization from the three spatial dimensions Length, Breadth, and Thickness.
   • As well as the low dimensionality of the Bloch electron states, […]
   • The difficulties in implementing classification algorithms as is, on high volume databases, derives from the increase in the number of records/instances in the database and of attributes/features in each instance (high dimensionality).
   • A vector v=(22,38,52,12) defines a four-dimensional space with a point at the stated co-ordinates, and so on to any dimensionality n. Vector spaces of dimensionality greater than three are impossible to visualise directly […]