See antisymmetric in All languages combined, or Wiktionary
{
"derived": [
{
"_dis1": "0 0 0 0",
"word": "antisymmetrically"
},
{
"_dis1": "0 0 0 0",
"word": "antisymmetricity"
}
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "anti",
"3": "symmetric"
},
"expansion": "anti- + symmetric",
"name": "prefix"
}
],
"etymology_text": "From anti- + symmetric.",
"head_templates": [
{
"args": {
"1": "-"
},
"expansion": "antisymmetric (not comparable)",
"name": "en-adj"
}
],
"lang": "English",
"lang_code": "en",
"pos": "adj",
"related": [
{
"_dis1": "0 0 0 0",
"word": "antisymmetry"
},
{
"_dis1": "0 0 0 0",
"word": "symmetric"
},
{
"_dis1": "0 0 0 0",
"word": "anticommutative"
},
{
"_dis1": "0 0 0 0",
"word": "skew-symmetric"
}
],
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Set theory",
"orig": "en:Set theory",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "29 11 30 31",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "28 23 23 26",
"kind": "other",
"name": "English terms prefixed with anti-",
"parents": [],
"source": "w+disamb"
}
],
"examples": [
{
"text": "1987, David C. Buchthal, Douglas E. Cameron, Modern Abstract Algebra, Prindle, Weber & Schmidt, page 479,\nThe standard example for an antisymmetric relation is the relation less than or equal to on the real number system."
},
{
"ref": "2006, S. C. Sharma, Metric Space, Discovery Publishing House, page 73:",
"text": "(i) The identity relation on a set A is an antisymmetric relation.\n(ii) Let R be a relation on the set N of natural numbers defined by\n x R y #x5C;Leftrightarrow 'x divides y' for all x, y ∈ N.\nThis relation is an antisymmetric relation on N.",
"type": "quote"
}
],
"glosses": [
"Having the property that, for any two distinct elements of S, at least one is not related to the other via R; equivalently, having the property that, for any x, y ∈ S, if both xRy and yRx then x=y."
],
"id": "en-antisymmetric-en-adj-D-8NsEsh",
"links": [
[
"set theory",
"set theory"
],
[
"binary relation",
"binary relation"
],
[
"set",
"set"
],
[
"element",
"element"
]
],
"raw_glosses": [
"(set theory, order theory, of a binary relation R on a set S) Having the property that, for any two distinct elements of S, at least one is not related to the other via R; equivalently, having the property that, for any x, y ∈ S, if both xRy and yRx then x=y."
],
"raw_tags": [
"of a binary relation R on a set S"
],
"tags": [
"not-comparable"
],
"topics": [
"mathematics",
"order-theory",
"sciences",
"set-theory"
],
"translations": [
{
"_dis1": "57 13 13 17",
"code": "cs",
"lang": "Czech",
"sense": "(order theory; of a binary relation on a set)",
"word": "antisymetrický"
},
{
"_dis1": "57 13 13 17",
"code": "eo",
"lang": "Esperanto",
"sense": "(order theory; of a binary relation on a set)",
"word": "malsimetria"
},
{
"_dis1": "57 13 13 17",
"code": "eo",
"lang": "Esperanto",
"sense": "(order theory; of a binary relation on a set)",
"word": "antisimetria"
},
{
"_dis1": "57 13 13 17",
"code": "fi",
"lang": "Finnish",
"sense": "(order theory; of a binary relation on a set)",
"word": "antisymmetrinen"
},
{
"_dis1": "57 13 13 17",
"code": "fr",
"lang": "French",
"sense": "(order theory; of a binary relation on a set)",
"word": "antisymétrique"
},
{
"_dis1": "57 13 13 17",
"code": "de",
"lang": "German",
"sense": "(order theory; of a binary relation on a set)",
"word": "antisymmetrisch"
},
{
"_dis1": "57 13 13 17",
"code": "is",
"lang": "Icelandic",
"sense": "(order theory; of a binary relation on a set)",
"tags": [
"masculine"
],
"word": "andsamhverfur"
},
{
"_dis1": "57 13 13 17",
"alt": "はんたいしょうてき",
"code": "ja",
"lang": "Japanese",
"roman": "han-taishō-teki",
"sense": "(order theory; of a binary relation on a set)",
"word": "反対称的"
},
{
"_dis1": "57 13 13 17",
"code": "pl",
"lang": "Polish",
"sense": "(order theory; of a binary relation on a set)",
"word": "antysymetryczny"
},
{
"_dis1": "57 13 13 17",
"code": "pt",
"lang": "Portuguese",
"sense": "(order theory; of a binary relation on a set)",
"word": "antissimétrico"
},
{
"_dis1": "57 13 13 17",
"code": "ro",
"lang": "Romanian",
"sense": "(order theory; of a binary relation on a set)",
"word": "antisimetric"
},
{
"_dis1": "57 13 13 17",
"code": "ru",
"lang": "Russian",
"roman": "antisimmetríčnyj",
"sense": "(order theory; of a binary relation on a set)",
"word": "антисимметри́чный"
},
{
"_dis1": "57 13 13 17",
"code": "es",
"lang": "Spanish",
"sense": "(order theory; of a binary relation on a set)",
"word": "antisimétrico"
},
{
"_dis1": "57 13 13 17",
"code": "sv",
"lang": "Swedish",
"sense": "(order theory; of a binary relation on a set)",
"word": "antisymmetrisk"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Linear algebra",
"orig": "en:Linear algebra",
"parents": [
"Algebra",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "29 11 30 31",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "28 23 23 26",
"kind": "other",
"name": "English terms prefixed with anti-",
"parents": [],
"source": "w+disamb"
}
],
"examples": [
{
"ref": "1974, Robert McCredie May, Stability and Complexity in Model Ecosystems, Princeton University Press, page 193:",
"text": "The eigenvalues of an antisymmetric matrix are all purely imaginary numbers, and occur as conjugate pairs, #x2B;iw and -iw. As a corollary it follows that an antisymmetric matrix of odd order necessarily has one eigenvalue equal to zero; antisymmetric matrices of odd order are singular.",
"type": "quote"
}
],
"glosses": [
"Whose sign changes on the application of a matrix transpose or some generalisation thereof:",
"Whose transpose equals its negative (i.e., Mᵀ = −M);"
],
"id": "en-antisymmetric-en-adj-UEtG5EB5",
"links": [
[
"linear algebra",
"linear algebra"
],
[
"matrix",
"matrix"
],
[
"transpose",
"transpose"
],
[
"negative",
"negative"
]
],
"raw_glosses": [
"(linear algebra, of certain mathematical objects) Whose sign changes on the application of a matrix transpose or some generalisation thereof:",
"(of a matrix) Whose transpose equals its negative (i.e., Mᵀ = −M);"
],
"raw_tags": [
"of a matrix",
"of certain mathematical objects"
],
"tags": [
"not-comparable"
],
"topics": [
"linear-algebra",
"mathematics",
"sciences"
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Linear algebra",
"orig": "en:Linear algebra",
"parents": [
"Algebra",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "29 11 30 31",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "28 23 23 26",
"kind": "other",
"name": "English terms prefixed with anti-",
"parents": [],
"source": "w+disamb"
}
],
"examples": [
{
"ref": "1986, Millard F. Beatty Jr., Principles of Engineering Mechanics, Volume 1: Kinematics - The Geometry of Motion, Plenum Press, page 163:",
"text": "Notice that the tensors defined by:\n #x5C;textstyleT#x5F;S#x5C;equiv#x5C;frac#x7B;1#x7D;#x7B;2#x7D;(T#x2B;Tᵀ), #x5C;textstyleT#x5F;A#x5C;equiv#x5C;frac#x7B;1#x7D;#x7B;2#x7D;(T-Tᵀ), (3.47)\nare the symmetric and antisymmetric parts, respectively; they are known as the symmetric and antisymmetric parts of T.",
"type": "quote"
}
],
"glosses": [
"Whose sign changes on the application of a matrix transpose or some generalisation thereof:",
"That changes sign when any two indices are interchanged (e.g., Tᵢⱼₖ = -Tⱼᵢₖ);"
],
"id": "en-antisymmetric-en-adj-Egwo4D6G",
"links": [
[
"linear algebra",
"linear algebra"
],
[
"matrix",
"matrix"
],
[
"transpose",
"transpose"
],
[
"tensor",
"tensor"
],
[
"indices",
"index"
]
],
"raw_glosses": [
"(linear algebra, of certain mathematical objects) Whose sign changes on the application of a matrix transpose or some generalisation thereof:",
"(of a tensor) That changes sign when any two indices are interchanged (e.g., Tᵢⱼₖ = -Tⱼᵢₖ);"
],
"raw_tags": [
"of a tensor",
"of certain mathematical objects"
],
"tags": [
"not-comparable"
],
"topics": [
"linear-algebra",
"mathematics",
"sciences"
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Linear algebra",
"orig": "en:Linear algebra",
"parents": [
"Algebra",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "29 11 30 31",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "28 23 23 26",
"kind": "other",
"name": "English terms prefixed with anti-",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "28 14 22 36",
"kind": "other",
"name": "Entries with translation boxes",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "26 14 25 36",
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "26 9 24 42",
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "26 15 18 41",
"kind": "other",
"name": "Terms with Czech translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "25 13 18 44",
"kind": "other",
"name": "Terms with Esperanto translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "25 14 19 42",
"kind": "other",
"name": "Terms with Finnish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "25 14 19 42",
"kind": "other",
"name": "Terms with French translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "25 14 19 42",
"kind": "other",
"name": "Terms with German translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "25 14 19 42",
"kind": "other",
"name": "Terms with Icelandic translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "25 13 18 44",
"kind": "other",
"name": "Terms with Japanese translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "25 14 19 41",
"kind": "other",
"name": "Terms with Polish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "25 15 19 41",
"kind": "other",
"name": "Terms with Portuguese translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "25 14 19 42",
"kind": "other",
"name": "Terms with Romanian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "25 13 18 44",
"kind": "other",
"name": "Terms with Russian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "23 11 17 49",
"kind": "other",
"name": "Terms with Spanish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "25 14 19 42",
"kind": "other",
"name": "Terms with Swedish translations",
"parents": [],
"source": "w+disamb"
}
],
"examples": [
{
"ref": "2012, Stephanie Frank Singer, Symmetry in Mechanics: A Gentle, Modern Introduction, Springer, page 28:",
"text": "Antisymmetric bilinear forms and wedge products are defined exactly as above, only now they are functions from #x5C;Rⁿ#x5C;times#x5C;Rⁿ to #x5C;R.[…]\nExercise 21 Show that every antisymmetric bilinear form on #x5C;R³ is a wedge product of two covectors.",
"type": "quote"
}
],
"glosses": [
"Whose sign changes on the application of a matrix transpose or some generalisation thereof:",
"For which B(w,v) = -B(v,w)."
],
"id": "en-antisymmetric-en-adj-cJoedBOE",
"links": [
[
"linear algebra",
"linear algebra"
],
[
"matrix",
"matrix"
],
[
"transpose",
"transpose"
],
[
"bilinear form",
"bilinear form"
]
],
"raw_glosses": [
"(linear algebra, of certain mathematical objects) Whose sign changes on the application of a matrix transpose or some generalisation thereof:",
"(of a bilinear form) For which B(w,v) = -B(v,w)."
],
"raw_tags": [
"of a bilinear form",
"of certain mathematical objects"
],
"tags": [
"not-comparable"
],
"topics": [
"linear-algebra",
"mathematics",
"sciences"
]
}
],
"synonyms": [
{
"_dis1": "0 0 0 0",
"topics": [
"linear-algebra",
"mathematics",
"sciences"
],
"word": "skew-symmetric"
}
],
"translations": [
{
"_dis1": "10 28 28 34",
"code": "fi",
"lang": "Finnish",
"sense": "(linear algebra)",
"word": "antisymmetrinen"
},
{
"_dis1": "10 28 28 34",
"code": "de",
"lang": "German",
"sense": "(linear algebra)",
"word": "antisymmetrisch"
},
{
"_dis1": "10 28 28 34",
"code": "pl",
"lang": "Polish",
"sense": "(linear algebra)",
"word": "antysymetryczny"
},
{
"_dis1": "10 28 28 34",
"code": "ro",
"lang": "Romanian",
"sense": "(linear algebra)",
"word": "antisimetric"
},
{
"_dis1": "10 28 28 34",
"code": "es",
"lang": "Spanish",
"sense": "(linear algebra)",
"word": "antisimétrico"
}
],
"wikipedia": [
"antisymmetric"
],
"word": "antisymmetric"
}
{
"categories": [
"English adjectives",
"English entries with incorrect language header",
"English lemmas",
"English terms prefixed with anti-",
"English uncomparable adjectives",
"Entries with translation boxes",
"Pages with 1 entry",
"Pages with entries",
"Terms with Czech translations",
"Terms with Esperanto translations",
"Terms with Finnish translations",
"Terms with French translations",
"Terms with German translations",
"Terms with Icelandic translations",
"Terms with Japanese translations",
"Terms with Polish translations",
"Terms with Portuguese translations",
"Terms with Romanian translations",
"Terms with Russian translations",
"Terms with Spanish translations",
"Terms with Swedish translations"
],
"derived": [
{
"word": "antisymmetrically"
},
{
"word": "antisymmetricity"
}
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "anti",
"3": "symmetric"
},
"expansion": "anti- + symmetric",
"name": "prefix"
}
],
"etymology_text": "From anti- + symmetric.",
"head_templates": [
{
"args": {
"1": "-"
},
"expansion": "antisymmetric (not comparable)",
"name": "en-adj"
}
],
"lang": "English",
"lang_code": "en",
"pos": "adj",
"related": [
{
"word": "antisymmetry"
},
{
"word": "symmetric"
},
{
"word": "anticommutative"
},
{
"word": "skew-symmetric"
}
],
"senses": [
{
"categories": [
"English terms with quotations",
"en:Set theory"
],
"examples": [
{
"text": "1987, David C. Buchthal, Douglas E. Cameron, Modern Abstract Algebra, Prindle, Weber & Schmidt, page 479,\nThe standard example for an antisymmetric relation is the relation less than or equal to on the real number system."
},
{
"ref": "2006, S. C. Sharma, Metric Space, Discovery Publishing House, page 73:",
"text": "(i) The identity relation on a set A is an antisymmetric relation.\n(ii) Let R be a relation on the set N of natural numbers defined by\n x R y #x5C;Leftrightarrow 'x divides y' for all x, y ∈ N.\nThis relation is an antisymmetric relation on N.",
"type": "quote"
}
],
"glosses": [
"Having the property that, for any two distinct elements of S, at least one is not related to the other via R; equivalently, having the property that, for any x, y ∈ S, if both xRy and yRx then x=y."
],
"links": [
[
"set theory",
"set theory"
],
[
"binary relation",
"binary relation"
],
[
"set",
"set"
],
[
"element",
"element"
]
],
"raw_glosses": [
"(set theory, order theory, of a binary relation R on a set S) Having the property that, for any two distinct elements of S, at least one is not related to the other via R; equivalently, having the property that, for any x, y ∈ S, if both xRy and yRx then x=y."
],
"raw_tags": [
"of a binary relation R on a set S"
],
"tags": [
"not-comparable"
],
"topics": [
"mathematics",
"order-theory",
"sciences",
"set-theory"
]
},
{
"categories": [
"English terms with quotations",
"en:Linear algebra"
],
"examples": [
{
"ref": "1974, Robert McCredie May, Stability and Complexity in Model Ecosystems, Princeton University Press, page 193:",
"text": "The eigenvalues of an antisymmetric matrix are all purely imaginary numbers, and occur as conjugate pairs, #x2B;iw and -iw. As a corollary it follows that an antisymmetric matrix of odd order necessarily has one eigenvalue equal to zero; antisymmetric matrices of odd order are singular.",
"type": "quote"
}
],
"glosses": [
"Whose sign changes on the application of a matrix transpose or some generalisation thereof:",
"Whose transpose equals its negative (i.e., Mᵀ = −M);"
],
"links": [
[
"linear algebra",
"linear algebra"
],
[
"matrix",
"matrix"
],
[
"transpose",
"transpose"
],
[
"negative",
"negative"
]
],
"raw_glosses": [
"(linear algebra, of certain mathematical objects) Whose sign changes on the application of a matrix transpose or some generalisation thereof:",
"(of a matrix) Whose transpose equals its negative (i.e., Mᵀ = −M);"
],
"raw_tags": [
"of a matrix",
"of certain mathematical objects"
],
"tags": [
"not-comparable"
],
"topics": [
"linear-algebra",
"mathematics",
"sciences"
]
},
{
"categories": [
"English terms with quotations",
"en:Linear algebra"
],
"examples": [
{
"ref": "1986, Millard F. Beatty Jr., Principles of Engineering Mechanics, Volume 1: Kinematics - The Geometry of Motion, Plenum Press, page 163:",
"text": "Notice that the tensors defined by:\n #x5C;textstyleT#x5F;S#x5C;equiv#x5C;frac#x7B;1#x7D;#x7B;2#x7D;(T#x2B;Tᵀ), #x5C;textstyleT#x5F;A#x5C;equiv#x5C;frac#x7B;1#x7D;#x7B;2#x7D;(T-Tᵀ), (3.47)\nare the symmetric and antisymmetric parts, respectively; they are known as the symmetric and antisymmetric parts of T.",
"type": "quote"
}
],
"glosses": [
"Whose sign changes on the application of a matrix transpose or some generalisation thereof:",
"That changes sign when any two indices are interchanged (e.g., Tᵢⱼₖ = -Tⱼᵢₖ);"
],
"links": [
[
"linear algebra",
"linear algebra"
],
[
"matrix",
"matrix"
],
[
"transpose",
"transpose"
],
[
"tensor",
"tensor"
],
[
"indices",
"index"
]
],
"raw_glosses": [
"(linear algebra, of certain mathematical objects) Whose sign changes on the application of a matrix transpose or some generalisation thereof:",
"(of a tensor) That changes sign when any two indices are interchanged (e.g., Tᵢⱼₖ = -Tⱼᵢₖ);"
],
"raw_tags": [
"of a tensor",
"of certain mathematical objects"
],
"tags": [
"not-comparable"
],
"topics": [
"linear-algebra",
"mathematics",
"sciences"
]
},
{
"categories": [
"English terms with quotations",
"en:Linear algebra"
],
"examples": [
{
"ref": "2012, Stephanie Frank Singer, Symmetry in Mechanics: A Gentle, Modern Introduction, Springer, page 28:",
"text": "Antisymmetric bilinear forms and wedge products are defined exactly as above, only now they are functions from #x5C;Rⁿ#x5C;times#x5C;Rⁿ to #x5C;R.[…]\nExercise 21 Show that every antisymmetric bilinear form on #x5C;R³ is a wedge product of two covectors.",
"type": "quote"
}
],
"glosses": [
"Whose sign changes on the application of a matrix transpose or some generalisation thereof:",
"For which B(w,v) = -B(v,w)."
],
"links": [
[
"linear algebra",
"linear algebra"
],
[
"matrix",
"matrix"
],
[
"transpose",
"transpose"
],
[
"bilinear form",
"bilinear form"
]
],
"raw_glosses": [
"(linear algebra, of certain mathematical objects) Whose sign changes on the application of a matrix transpose or some generalisation thereof:",
"(of a bilinear form) For which B(w,v) = -B(v,w)."
],
"raw_tags": [
"of a bilinear form",
"of certain mathematical objects"
],
"tags": [
"not-comparable"
],
"topics": [
"linear-algebra",
"mathematics",
"sciences"
]
}
],
"synonyms": [
{
"topics": [
"linear-algebra",
"mathematics",
"sciences"
],
"word": "skew-symmetric"
}
],
"translations": [
{
"code": "cs",
"lang": "Czech",
"sense": "(order theory; of a binary relation on a set)",
"word": "antisymetrický"
},
{
"code": "eo",
"lang": "Esperanto",
"sense": "(order theory; of a binary relation on a set)",
"word": "malsimetria"
},
{
"code": "eo",
"lang": "Esperanto",
"sense": "(order theory; of a binary relation on a set)",
"word": "antisimetria"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "(order theory; of a binary relation on a set)",
"word": "antisymmetrinen"
},
{
"code": "fr",
"lang": "French",
"sense": "(order theory; of a binary relation on a set)",
"word": "antisymétrique"
},
{
"code": "de",
"lang": "German",
"sense": "(order theory; of a binary relation on a set)",
"word": "antisymmetrisch"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "(order theory; of a binary relation on a set)",
"tags": [
"masculine"
],
"word": "andsamhverfur"
},
{
"alt": "はんたいしょうてき",
"code": "ja",
"lang": "Japanese",
"roman": "han-taishō-teki",
"sense": "(order theory; of a binary relation on a set)",
"word": "反対称的"
},
{
"code": "pl",
"lang": "Polish",
"sense": "(order theory; of a binary relation on a set)",
"word": "antysymetryczny"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "(order theory; of a binary relation on a set)",
"word": "antissimétrico"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "(order theory; of a binary relation on a set)",
"word": "antisimetric"
},
{
"code": "ru",
"lang": "Russian",
"roman": "antisimmetríčnyj",
"sense": "(order theory; of a binary relation on a set)",
"word": "антисимметри́чный"
},
{
"code": "es",
"lang": "Spanish",
"sense": "(order theory; of a binary relation on a set)",
"word": "antisimétrico"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "(order theory; of a binary relation on a set)",
"word": "antisymmetrisk"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "(linear algebra)",
"word": "antisymmetrinen"
},
{
"code": "de",
"lang": "German",
"sense": "(linear algebra)",
"word": "antisymmetrisch"
},
{
"code": "pl",
"lang": "Polish",
"sense": "(linear algebra)",
"word": "antysymetryczny"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "(linear algebra)",
"word": "antisimetric"
},
{
"code": "es",
"lang": "Spanish",
"sense": "(linear algebra)",
"word": "antisimétrico"
}
],
"wikipedia": [
"antisymmetric"
],
"word": "antisymmetric"
}
Download raw JSONL data for antisymmetric meaning in English (8.6kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.