See annihilator method in All languages combined, or Wiktionary
{
"etymology_text": "From its use of an annihilator (in this case a differential operator) to render the equation more tractable.",
"forms": [
{
"form": "annihilator methods",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "-",
"2": "s"
},
"expansion": "annihilator method (usually uncountable, plural annihilator methods)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Entries with translation boxes",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Bulgarian translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Catalan translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with French translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Portuguese translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Spanish translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"langcode": "en",
"name": "Differential equations",
"orig": "en:Differential equations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"langcode": "en",
"name": "Mathematical analysis",
"orig": "en:Mathematical analysis",
"parents": [],
"source": "w"
}
],
"examples": [
{
"bold_text_offsets": [
[
13,
31
]
],
"ref": "1969, Tom Apostol, Calculus, Volume 2: Multi-variable calculus and linear algebra with applications to differential equations and probability, page 166:",
"text": "Although the annihilator method is very efficient when applicable, it is limited to equations whose right members R have a constant-coefficient annihilator.",
"type": "quote"
},
{
"bold_text_offsets": [
[
4,
22
]
],
"ref": "1997, Robert E. O'Malley, Jr, Thinking about Ordinary Differential Equations, Cambridge University Press, page 58:",
"text": "The annihilator method is just one convenient method to select the form of solution to try when applying the method of undetermined coefficients.",
"type": "quote"
},
{
"bold_text_offsets": [
[
101,
119
],
[
195,
213
]
],
"ref": "2001, Martin Bohner, Allan Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Springer, page 116:",
"text": "Sometimes, instead of using the variation of parameters technique, it is easier to use the so-called annihilator method (also called the method of undetermined coefficients). We now discuss this annihilator method for solving equations of the form\n(3.48) y#123;#92;Delta#92;Delta#125;#43;#92;alphay#92;Delta#43;#92;betay#61;f(t),\nwhere #92;alpha and #92;beta are constants and f is a function that can be annihilated as defined below.",
"type": "quote"
},
{
"bold_text_offsets": [
[
130,
149
]
],
"ref": "2012, S. Graham Kelly, Mechanical Vibrations: Theory and Applications, Cengage Learning, page 206:",
"text": "Many ways exist to solve the particular solution. These include the method of undetermined coefficients, variation of parameters, annihilator methods, Laplace transform methods, and numerical methods.",
"type": "quote"
}
],
"glosses": [
"A procedure used to find a particular solution to certain types of inhomogeneous ordinary differential equations."
],
"id": "en-annihilator_method-en-noun-1Fik~nxV",
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"inhomogeneous",
"inhomogeneous"
],
[
"ordinary differential equation",
"ordinary differential equation"
]
],
"raw_glosses": [
"(mathematical analysis) A procedure used to find a particular solution to certain types of inhomogeneous ordinary differential equations."
],
"tags": [
"uncountable",
"usually"
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
],
"translations": [
{
"code": "ca",
"lang": "Catalan",
"lang_code": "ca",
"sense": "method of finding particular solutions",
"tags": [
"masculine"
],
"word": "mètode del anul·lador"
},
{
"code": "fr",
"lang": "French",
"lang_code": "fr",
"sense": "method of finding particular solutions",
"tags": [
"feminine"
],
"word": "méthode de l'annihilateur"
},
{
"code": "pt",
"lang": "Portuguese",
"lang_code": "pt",
"sense": "method of finding particular solutions",
"tags": [
"feminine"
],
"word": "abordagem por anuladores"
},
{
"code": "pt",
"lang": "Portuguese",
"lang_code": "pt",
"sense": "method of finding particular solutions",
"tags": [
"feminine"
],
"word": "abordagem do anulador"
},
{
"code": "es",
"lang": "Spanish",
"lang_code": "es",
"sense": "method of finding particular solutions",
"tags": [
"masculine"
],
"word": "método del anulador"
}
],
"wikipedia": [
"annihilator method"
]
}
],
"word": "annihilator method"
}
{
"etymology_text": "From its use of an annihilator (in this case a differential operator) to render the equation more tractable.",
"forms": [
{
"form": "annihilator methods",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "-",
"2": "s"
},
"expansion": "annihilator method (usually uncountable, plural annihilator methods)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"English terms with quotations",
"English uncountable nouns",
"Entries with translation boxes",
"Pages with 1 entry",
"Pages with entries",
"Requests for review of Bulgarian translations",
"Terms with Bulgarian translations",
"Terms with Catalan translations",
"Terms with French translations",
"Terms with Portuguese translations",
"Terms with Spanish translations",
"en:Differential equations",
"en:Mathematical analysis"
],
"examples": [
{
"bold_text_offsets": [
[
13,
31
]
],
"ref": "1969, Tom Apostol, Calculus, Volume 2: Multi-variable calculus and linear algebra with applications to differential equations and probability, page 166:",
"text": "Although the annihilator method is very efficient when applicable, it is limited to equations whose right members R have a constant-coefficient annihilator.",
"type": "quote"
},
{
"bold_text_offsets": [
[
4,
22
]
],
"ref": "1997, Robert E. O'Malley, Jr, Thinking about Ordinary Differential Equations, Cambridge University Press, page 58:",
"text": "The annihilator method is just one convenient method to select the form of solution to try when applying the method of undetermined coefficients.",
"type": "quote"
},
{
"bold_text_offsets": [
[
101,
119
],
[
195,
213
]
],
"ref": "2001, Martin Bohner, Allan Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Springer, page 116:",
"text": "Sometimes, instead of using the variation of parameters technique, it is easier to use the so-called annihilator method (also called the method of undetermined coefficients). We now discuss this annihilator method for solving equations of the form\n(3.48) y#123;#92;Delta#92;Delta#125;#43;#92;alphay#92;Delta#43;#92;betay#61;f(t),\nwhere #92;alpha and #92;beta are constants and f is a function that can be annihilated as defined below.",
"type": "quote"
},
{
"bold_text_offsets": [
[
130,
149
]
],
"ref": "2012, S. Graham Kelly, Mechanical Vibrations: Theory and Applications, Cengage Learning, page 206:",
"text": "Many ways exist to solve the particular solution. These include the method of undetermined coefficients, variation of parameters, annihilator methods, Laplace transform methods, and numerical methods.",
"type": "quote"
}
],
"glosses": [
"A procedure used to find a particular solution to certain types of inhomogeneous ordinary differential equations."
],
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"inhomogeneous",
"inhomogeneous"
],
[
"ordinary differential equation",
"ordinary differential equation"
]
],
"raw_glosses": [
"(mathematical analysis) A procedure used to find a particular solution to certain types of inhomogeneous ordinary differential equations."
],
"tags": [
"uncountable",
"usually"
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
],
"wikipedia": [
"annihilator method"
]
}
],
"translations": [
{
"code": "ca",
"lang": "Catalan",
"lang_code": "ca",
"sense": "method of finding particular solutions",
"tags": [
"masculine"
],
"word": "mètode del anul·lador"
},
{
"code": "fr",
"lang": "French",
"lang_code": "fr",
"sense": "method of finding particular solutions",
"tags": [
"feminine"
],
"word": "méthode de l'annihilateur"
},
{
"code": "pt",
"lang": "Portuguese",
"lang_code": "pt",
"sense": "method of finding particular solutions",
"tags": [
"feminine"
],
"word": "abordagem por anuladores"
},
{
"code": "pt",
"lang": "Portuguese",
"lang_code": "pt",
"sense": "method of finding particular solutions",
"tags": [
"feminine"
],
"word": "abordagem do anulador"
},
{
"code": "es",
"lang": "Spanish",
"lang_code": "es",
"sense": "method of finding particular solutions",
"tags": [
"masculine"
],
"word": "método del anulador"
}
],
"word": "annihilator method"
}
Download raw JSONL data for annihilator method meaning in English (4.1kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-09-03 from the enwiktionary dump dated 2025-08-23 using wiktextract (20da82b and a97feda). 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.