See finite geometry in All languages combined, or Wiktionary
Download JSON data for finite geometry meaning in English (4.7kB)
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "finite",
"3": "geometry"
},
"expansion": "finite + geometry",
"name": "com"
}
],
"etymology_text": "finite + geometry",
"forms": [
{
"form": "finite geometries",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "~"
},
"expansion": "finite geometry (countable and uncountable, plural finite geometries)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Geometry",
"orig": "en:Geometry",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "51 49",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
}
],
"examples": [
{
"ref": "1980, Judson Chambers Webb, Mechanism, Mentalism and Metamathematics: An Essay on Finitism, Springer, page 39",
"text": "But the work of von Staudt, Fano, and Veblen led even to the construction of finite geometries having only finitely many points and lines. Originally having only incidence relations, these finite geometries have been extensively developed through the introduction of suitable axioms of order and congruence by Järnefelt and Kustaanheimo, who have proposed their use in physics to solve certain paradoxes due apparently to the use of continuous variables.",
"type": "quotation"
},
{
"ref": "1999, S. Ball, “Polynomials in Finite Geometries”, in J. D. Lamb, D. A. Preece, editors, Surveys in Combinatorics, 1999, Cambridge University Press, page 17",
"text": "A method of using polynomials to describe objects in finite geometries is outlined and the problems where this method has led to a solution are surveyed.",
"type": "quotation"
},
{
"ref": "2009, William Ryan, Shu Lin, Channel Codes: Classical and Modern, Cambridge University Press, page 430",
"text": "Finite geometries, such as Euclidean and projective geometries, are powerful mathematical tools for constructing error-control codes.",
"type": "quotation"
}
],
"glosses": [
"Any geometric system that has only a finite number of points."
],
"id": "en-finite_geometry-en-noun-8MUXre7f",
"links": [
[
"geometry",
"geometry"
],
[
"geometric",
"geometric"
],
[
"finite",
"finite"
],
[
"point",
"point"
]
],
"raw_glosses": [
"(geometry) Any geometric system that has only a finite number of points."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"geometry",
"mathematics",
"sciences"
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Geometry",
"orig": "en:Geometry",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "51 49",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
}
],
"examples": [
{
"ref": "1983, Robert A. Liebler, “Combinatorial Representation Theory and Translation Planes”, in Norman L. Johnson, Michael J. Kallaher, Calvin T. Long, editors, Finite Geometries: Proceedings of a Conference, CRC Press, page 307",
"text": "The coordinates of geometry were as incompatible with representation theory as were the splitting fields of representation theory with finite geometry.",
"type": "quotation"
},
{
"ref": "1996, Dieter Jungnickel, “Maximal Sets of Mutually Orthogonal Latin Squares”, in S. Cohen, H. Niederreiter, editors, Finite Fields and Applications: Proceedings of the 3rd International Conference, Cambridge University Press, page 129",
"text": "We give a survey on a topic in Finite Geometry which has generated considerable interest in the literature: the construction of maximal sets of mutually orthogonal Latin squares (MOLS) or, equivalently, of maximal nets.",
"type": "quotation"
},
{
"ref": "2007, Michael B. Smyth, Julian Webster, “12: Discrete Spatial Models”, in Marco Aiello, Ian E. Pratt-Hartmann, Johan F. A. K. van Benthem, editors, Handbook of Spatial Logics, Springer, page 787",
"text": "Finite geometry is a broad area of research, but much of it is not Euclidean in flavour and no theory seems to match that of oriented matroids in establishing combinatorial Euclidean geometry.",
"type": "quotation"
}
],
"glosses": [
"The branch of geometry that concerns geometric systems with only a finite number of points."
],
"id": "en-finite_geometry-en-noun-Je8ejmSp",
"links": [
[
"geometry",
"geometry"
]
],
"raw_glosses": [
"(geometry, uncountable) The branch of geometry that concerns geometric systems with only a finite number of points."
],
"tags": [
"uncountable"
],
"topics": [
"geometry",
"mathematics",
"sciences"
]
}
],
"wikipedia": [
"Fano plane",
"finite geometry"
],
"word": "finite geometry"
}
{
"categories": [
"English compound terms",
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"English uncountable nouns"
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "finite",
"3": "geometry"
},
"expansion": "finite + geometry",
"name": "com"
}
],
"etymology_text": "finite + geometry",
"forms": [
{
"form": "finite geometries",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "~"
},
"expansion": "finite geometry (countable and uncountable, plural finite geometries)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"English terms with quotations",
"en:Geometry"
],
"examples": [
{
"ref": "1980, Judson Chambers Webb, Mechanism, Mentalism and Metamathematics: An Essay on Finitism, Springer, page 39",
"text": "But the work of von Staudt, Fano, and Veblen led even to the construction of finite geometries having only finitely many points and lines. Originally having only incidence relations, these finite geometries have been extensively developed through the introduction of suitable axioms of order and congruence by Järnefelt and Kustaanheimo, who have proposed their use in physics to solve certain paradoxes due apparently to the use of continuous variables.",
"type": "quotation"
},
{
"ref": "1999, S. Ball, “Polynomials in Finite Geometries”, in J. D. Lamb, D. A. Preece, editors, Surveys in Combinatorics, 1999, Cambridge University Press, page 17",
"text": "A method of using polynomials to describe objects in finite geometries is outlined and the problems where this method has led to a solution are surveyed.",
"type": "quotation"
},
{
"ref": "2009, William Ryan, Shu Lin, Channel Codes: Classical and Modern, Cambridge University Press, page 430",
"text": "Finite geometries, such as Euclidean and projective geometries, are powerful mathematical tools for constructing error-control codes.",
"type": "quotation"
}
],
"glosses": [
"Any geometric system that has only a finite number of points."
],
"links": [
[
"geometry",
"geometry"
],
[
"geometric",
"geometric"
],
[
"finite",
"finite"
],
[
"point",
"point"
]
],
"raw_glosses": [
"(geometry) Any geometric system that has only a finite number of points."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"geometry",
"mathematics",
"sciences"
]
},
{
"categories": [
"English terms with quotations",
"English uncountable nouns",
"en:Geometry"
],
"examples": [
{
"ref": "1983, Robert A. Liebler, “Combinatorial Representation Theory and Translation Planes”, in Norman L. Johnson, Michael J. Kallaher, Calvin T. Long, editors, Finite Geometries: Proceedings of a Conference, CRC Press, page 307",
"text": "The coordinates of geometry were as incompatible with representation theory as were the splitting fields of representation theory with finite geometry.",
"type": "quotation"
},
{
"ref": "1996, Dieter Jungnickel, “Maximal Sets of Mutually Orthogonal Latin Squares”, in S. Cohen, H. Niederreiter, editors, Finite Fields and Applications: Proceedings of the 3rd International Conference, Cambridge University Press, page 129",
"text": "We give a survey on a topic in Finite Geometry which has generated considerable interest in the literature: the construction of maximal sets of mutually orthogonal Latin squares (MOLS) or, equivalently, of maximal nets.",
"type": "quotation"
},
{
"ref": "2007, Michael B. Smyth, Julian Webster, “12: Discrete Spatial Models”, in Marco Aiello, Ian E. Pratt-Hartmann, Johan F. A. K. van Benthem, editors, Handbook of Spatial Logics, Springer, page 787",
"text": "Finite geometry is a broad area of research, but much of it is not Euclidean in flavour and no theory seems to match that of oriented matroids in establishing combinatorial Euclidean geometry.",
"type": "quotation"
}
],
"glosses": [
"The branch of geometry that concerns geometric systems with only a finite number of points."
],
"links": [
[
"geometry",
"geometry"
]
],
"raw_glosses": [
"(geometry, uncountable) The branch of geometry that concerns geometric systems with only a finite number of points."
],
"tags": [
"uncountable"
],
"topics": [
"geometry",
"mathematics",
"sciences"
]
}
],
"wikipedia": [
"Fano plane",
"finite geometry"
],
"word": "finite geometry"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 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.