# dimensionality

Definition from Wiktionary, the free dictionary

## English[edit]

### Etymology[edit]

### Pronunciation[edit]

- Rhymes: -ælɪti

### Noun[edit]

**dimensionality** (*plural* **dimensionalities**)

- The state or characteristic of possessing dimensions.
- (chiefly mathematics and computing) The number of dimensions something has.
**1864**, Edward B. Freeland, "Corresponding First Discriminations in Thought and Language", article two of*The Scientific Universal Language*, as serialized in*The Continental Monthly*, number 35 (volume 6, number 5), November 1864, bound as*The Continental Monthly*, volume 6, page 583 [1]:- 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*, or of**Dimensionality****Dimensionality**in all directions, as a vague generalization from the three spatial dimensions*Length*,*Breadth*, and*Thickness*.

- That is to say, it is the Analogue of Space, not in the sense in which we formerly regarded Space as the
**1978**, Joseph B. Kruskal and Myron Wish,*Multidimensional Scaling*, ISBN 0803909403, page 44 [2]:- This often happens, for example, when a two-dimensional solution is obtained for data whose appropriate
**dimensionality**is higher.

- This often happens, for example, when a two-dimensional solution is obtained for data whose appropriate
**1982**, Raoul Bott and Loring W. Tu,*Differential Forms in Algebraic Topology*, ISBN 0387906134, page 43 [3]:__Finite__**Dimensionality**of de Rham Cohomology:*Proposition 5.3.1.*If the manifold has a finite good cover, then its cohomology is finite dimensional.

**1995**, T. Ogawa, "**Dimensionality**and Optical Responses of Materials", chapter 1 in, T. Ogawa and Y. Kanemitsuu, editors,*Optical Properties of Low-Dimensional Materials*, ISBN 9810222319, page 6 [4]:- As well as the low
**dimensionality**of the Bloch electron states, […]

- As well as the low
**2010**, Lior Rokach and Oded Maimon, "Supervised Learning", chapter 8 in, Oded Maimon and Lior Rokach, editors,*Data Mining and Knowledge Discovery Handbook*, second edition, ISBN 9780387098234, doi:10.1007/978-0-387-09823-4, page 142 [5]:- 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**).

- 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
**2010**, Basavaraj S. Anami, Shanmukhappa A. Angadi, and Sunilkumar S. Manvi,*Computer Concepts and C Programming*, second edition, ISBN 9788120340671, page 139 [6]:- The programming language does not impose any restrictions on the
**dimensionality**of the arrays.

- The programming language does not impose any restrictions on the
**2011**, Hermann Moisl, "Hypothesis Generation", chapter 4 in, Warren Maguire and April McMahon, editors,*Analysing Variation in English*, ISBN 9780521898669, page 82 [7]:- A vector defines a four-dimensional space with a point at the stated co-ordinates, and so on to any
**dimensionality**. Vector spaces of**dimensionality**greater than three are impossible to visualise directly […]

- A vector defines a four-dimensional space with a point at the stated co-ordinates, and so on to any