See dimensionality on Wiktionary
Download JSON data for dimensionality meaning in All languages combined (6.9kB)
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"ref": "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",
"text": "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."
},
{
"ref": "1978, Joseph B. Kruskal, Myron Wish, Multidimensional Scaling, page 44",
"text": "This often happens, for example, when a two-dimensional solution is obtained for data whose appropriate dimensionality is higher.",
"type": "quotation"
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{
"ref": "1982, Raoul Bott, Loring W. Tu, Differential Forms in Algebraic Topology, page 43",
"text": "Finite Dimensionality of de Rham Cohomology:\nProposition 5.3.1. If the manifold M has a finite good cover, then its cohomology is finite dimensional.",
"type": "quotation"
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{
"ref": "1995, T. Ogawa, \"Dimensionality and Optical Responses of Materials\", chapter 1 in, T. Ogawa and Y. Kanemitsuu, editors, Optical Properties of Low-Dimensional Materials, page 6 http://books.google.com/books?id=yToRBYgdMcMC&pg=PA6&dq=bloch",
"text": "As well as the low dimensionality of the Bloch electron states, […]"
},
{
"ref": "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, 10.1007/978-0-387-09823-4, page 142 http://books.google.com/books?id=alHIsT6LBl0C&pg=PA142&dq=dimensionality",
"text": "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)."
},
{
"ref": "2010, Basavaraj S. Anami, Shanmukhappa A. Angadi, Sunilkumar S. Manvi, Computer Concepts and C Programming, second, page 139",
"text": "The programming language does not impose any restrictions on the dimensionality of the arrays.",
"type": "quotation"
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{
"ref": "2011, Hermann Moisl, \"Hypothesis Generation\", chapter 4 in, Warren Maguire and April McMahon, editors, Analysing Variation in English, page 82 http://books.google.com/books?id=TjirdzcZKZgC&pg=PA82&dq=dimensionality",
"text": "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 […]"
}
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{
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"ref": "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",
"text": "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."
},
{
"ref": "1978, Joseph B. Kruskal, Myron Wish, Multidimensional Scaling, page 44",
"text": "This often happens, for example, when a two-dimensional solution is obtained for data whose appropriate dimensionality is higher.",
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},
{
"ref": "1982, Raoul Bott, Loring W. Tu, Differential Forms in Algebraic Topology, page 43",
"text": "Finite Dimensionality of de Rham Cohomology:\nProposition 5.3.1. If the manifold M has a finite good cover, then its cohomology is finite dimensional.",
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{
"ref": "1995, T. Ogawa, \"Dimensionality and Optical Responses of Materials\", chapter 1 in, T. Ogawa and Y. Kanemitsuu, editors, Optical Properties of Low-Dimensional Materials, page 6 http://books.google.com/books?id=yToRBYgdMcMC&pg=PA6&dq=bloch",
"text": "As well as the low dimensionality of the Bloch electron states, […]"
},
{
"ref": "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, 10.1007/978-0-387-09823-4, page 142 http://books.google.com/books?id=alHIsT6LBl0C&pg=PA142&dq=dimensionality",
"text": "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)."
},
{
"ref": "2010, Basavaraj S. Anami, Shanmukhappa A. Angadi, Sunilkumar S. Manvi, Computer Concepts and C Programming, second, page 139",
"text": "The programming language does not impose any restrictions on the dimensionality of the arrays.",
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},
{
"ref": "2011, Hermann Moisl, \"Hypothesis Generation\", chapter 4 in, Warren Maguire and April McMahon, editors, Analysing Variation in English, page 82 http://books.google.com/books?id=TjirdzcZKZgC&pg=PA82&dq=dimensionality",
"text": "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 […]"
}
],
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{
"code": "fr",
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"sense": "state or characteristic",
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"word": "dimensionnalité"
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"code": "de",
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"sense": "state or characteristic",
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"word": "Dimensionalität"
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{
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"sense": "state or characteristic",
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"feminine"
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"word": "dimensionalitate"
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"sense": "number of dimensions of something",
"word": "dimensionaalisuus"
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"sense": "number of dimensions of something",
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"word": "Dimensionalität"
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"word": "dimensionalitate"
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.