Dimension vs Dimensionality - What's the difference?
dimension | dimensionality |
A single aspect of a given thing.
A measure of spatial extent in a particular direction, such as height, width or breadth, or depth.
* {{quote-magazine, date=2012-01
, author=Robert L. Dorit
, title=Rereading Darwin
, volume=100, issue=1, page=23
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A construct whereby objects or individuals can be distinguished.
(geometry) The number of independent coordinates needed to specify uniquely the location of a point in a space; also, any of such independent coordinates.
(linear algebra) The number of elements of any basis of a vector space.
(physics) One of the physical properties that are regarded as fundamental measures of a physical quantity, such as mass, length and time.
(computing) Any of the independent ranges of indices in a multidimensional array.
(science fiction, fantasy) An alternative universe or plane of existence.
(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 [http://books.google.com/books?id=w3lBAAAAYAAJ&pg=PA583&dq=dimensionality]:
* 1978 , and Myron Wish, Multidimensional Scaling , ISBN 0803909403, page 44 [http://books.google.com/books?id=ZzmIPcEXPf0C&pg=PA44&dq=dimensionality]:
* 1982 , and Loring W. Tu, Differential Forms in Algebraic Topology , ISBN 0387906134, page 43 [http://books.google.com/books?id=S6Ve0KXyDj8C&pg=PA43&dq=dimensionality]:
*:Finite Dimensionality of de Rham Cohomology:
* 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 [http://books.google.com/books?id=yToRBYgdMcMC&pg=PA6&dq=bloch]:
* 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, , page 142 [http://books.google.com/books?id=alHIsT6LBl0C&pg=PA142&dq=dimensionality]:
* 2010 , Basavaraj S. Anami, Shanmukhappa A. Angadi and Sunilkumar S. Manvi, Computer Concepts and C Programming , second edition, ISBN 9788120340671, page 139 [http://books.google.com/books?id=QqFZ_SPZLJQC&pg=PA139&dq=dimensionality]:
* 2011 , , "Hypothesis Generation", chapter 4 in, Warren Maguire and April McMahon, editors, Analysing Variation in English , ISBN 9780521898669, page 82 [http://books.google.com/books?id=TjirdzcZKZgC&pg=PA82&dq=dimensionality]:
As nouns the difference between dimension and dimensionality
is that dimension is a single aspect of a given thing while dimensionality is the number of dimensions something has.As a verb dimension
is to mark, cut or shape something to specified dimensions.dimension
English
(wikipedia dimension)Noun
(en noun)citation, passage=We live our lives in three dimensions for our threescore and ten allotted years. Yet every branch of contemporary science, from statistics to cosmology, alludes to processes that operate on scales outside of human experience: the millisecond and the nanometer, the eon and the light-year.}}
- The dimension of velocity is length divided by time.
Synonyms
* (single aspect of a thing ): aspect * (measure of spatial extent ): magnitude, proportion, size, scope * (construct whereby objects or individuals can be distinguished ): attribute, propertyDerived terms
* * * * correlation dimension * dimensional * dimensional analysis * dimensional shingle * exterior dimension * four-dimensional * fourth dimension * fractal dimension * Hamel dimension * Hausdorff dimension * information dimension * isoperimetric dimension * Kaplan-Yorke dimension * Krull dimension * Lebesgue covering dimension * Lyapunov dimension * multidimensional * one-dimensional * pointwise dimension * poset dimension * q-dimension * third dimension * three-dimensional * transdimensionaldimensionality
English
Noun
(dimensionalities)- 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 .
- This often happens, for example, when a two-dimensional solution is obtained for data whose appropriate dimensionality is higher.
- Proposition 5.3.1. If the manifold has a finite good cover, then its cohomology is finite dimensional.
- 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 ).
- The programming language does not impose any restrictions on the dimensionality of the arrays.
- 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
