"differential" meaning in English

See differential in All languages combined, or Wiktionary

Adjective

IPA: [dɪfəˈɹənʃəɫ] Audio: en-us-differential.ogg [US] Forms: more differential [comparative], most differential [superlative]
Etymology: Morphologically different + -ial. Etymology templates: {{suffix|en|different|ial|nocat=1}} different + -ial Head templates: {{en-adj}} differential (comparative more differential, superlative most differential)
  1. Of or pertaining to a difference. Translations (relating to a difference): отличителен (otličitelen) (Bulgarian), forskels- (Danish), erityinen (Finnish), erityis- (Finnish), erotus- (Finnish), διαφορικός (diaforikós) [masculine] (Greek), różnicowy (Polish), diferencial (Spanish), differens- (Swedish)
    Sense id: en-differential-en-adj-5hegigl8 Disambiguation of 'relating to a difference': 57 33 8 3
  2. Dependent on, or making a difference; distinctive. Translations (dependent on, distinctive): разграничителен (razgraničitelen) (Bulgarian), differentieret (Danish), riippuvainen [dependent] (Finnish), erityinen (Finnish), erityis- (english: distinctive) (Finnish), διάφορος (diáforos) [masculine] (Greek)
    Sense id: en-differential-en-adj-A441kPCA Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 0 13 0 12 11 1 10 8 9 4 11 4 8 9 Disambiguation of 'dependent on, distinctive': 0 94 1 5
  3. Having differences in speed or direction of motion. Translations (having differences in speed or direction): erinopeuksinen (english: speed) (Finnish), erisuuntainen (english: direction) (Finnish)
    Sense id: en-differential-en-adj-Moh0pnG~ Disambiguation of 'having differences in speed or direction': 3 6 90 2
  4. (mathematics) Of or pertaining to differentiation or the differential calculus. Categories (topical): Mathematics Translations (relating to differentiation or differential calculus): диференциален (diferencialen) (Bulgarian), diferenciální (Czech), differential- (Danish), differentiaali- (Finnish), différentiel (French), Differenzial [neuter] (German), διαφορικός (diaforikós) [masculine] (Greek), अवकल (avkal) (Hindi), differenciál (Hungarian), diferenciala (Ido), дифференциалдық (differensialdyq) (Kazakh), różniczkowy (Polish), diferencial (Portuguese), дифференциа́льный (differenciálʹnyj) (Russian), diferencial (Spanish), differential- (Swedish), tingirin (Tagalog), diferansiyel (Turkish), vi phân (alt: 微分) (Vietnamese)
    Sense id: en-differential-en-adj-GZRwZ5-C Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 0 13 0 12 11 1 10 8 9 4 11 4 8 9 Topics: mathematics, sciences Disambiguation of 'relating to differentiation or differential calculus': 1 17 1 82
The following are not (yet) sense-disambiguated
Derived forms: time differential

Noun

IPA: [dɪfəˈɹənʃəɫ] Audio: en-us-differential.ogg [US] Forms: differentials [plural]
Etymology: Morphologically different + -ial. Etymology templates: {{suffix|en|different|ial|nocat=1}} different + -ial Head templates: {{en-noun}} differential (plural differentials)
  1. The differential gear in an automobile, etc.
    Sense id: en-differential-en-noun-zYWjKMnB Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 0 13 0 12 11 1 10 8 9 4 11 4 8 9
  2. A qualitative or quantitative difference between similar or comparable things. Translations (difference between similar or comparable things): forskel [common-gender] (Danish), ero (Finnish), διαφορικό (diaforikó) [neuter] (Greek), perbedaan (Indonesian), pārōnaki (Maori)
    Sense id: en-differential-en-noun-7bOJZjay Disambiguation of 'difference between similar or comparable things': 1 73 3 2 5 4 3 2 3 3
  3. One of two coils of conducting wire so related to one another or to a magnet or armature common to both, that one coil produces polar action contrary to that of the other.
    Sense id: en-differential-en-noun-zi4Cm5n1
  4. A form of conductor used for dividing and distributing the current to a series of electric lamps so as to maintain equal action in all.
    Sense id: en-differential-en-noun-RSsjVk8Y
  5. (calculus) A quantity representing an infinitesimal change in a variable, now only used as a heuristic aid except in nonstandard analysis but considered rigorous until the 20th century; a fluxion in Newtonian calculus, now usually written in Leibniz's notation as operatorname d!x. Categories (topical): Calculus Translations (infinitesimal change): диференциал (diferencial) [masculine] (Bulgarian), differentiaal [feminine] (Dutch), differentiaali (Finnish), διαφορικό (diaforikó) [neuter] (Greek), דיפרנציאל (difrentziál) [masculine] (Hebrew), differenciál (Hungarian), diferencialo (Ido), diferensial (Indonesian), differensial [neuter] (Norwegian Bokmål), differensial [neuter] (Norwegian Nynorsk), różniczka [feminine] (Polish), diferencial [feminine] (Portuguese), дифференциа́л (differenciál) [masculine] (Russian), diferencial [feminine] (Spanish), differential [common-gender] (Swedish), tingid (Tagalog)
    Sense id: en-differential-en-noun-gYzhxHnu Topics: calculus, mathematics, sciences Disambiguation of 'infinitesimal change': 1 1 2 1 48 16 15 4 5 4
  6. (calculus, of a univariate differentiable function f(x)) A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f. Categories (topical): Calculus
    Sense id: en-differential-en-noun-u5IF~RA9 Topics: calculus, mathematics, sciences
  7. (calculus, of a univariate differentiable function f(x)) A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f.
    Any of several generalizations of this concept to functions of several variables or to higher orders: the partial differential, total differential, Gateaux differential, etc.
    Categories (topical): Calculus
    Sense id: en-differential-en-noun-1T3CvkE7 Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 0 13 0 12 11 1 10 8 9 4 11 4 8 9
  8. (multivariable calculus) The Jacobian matrix of a function of several variables.
    Sense id: en-differential-en-noun-fgNnnymX
  9. (differential geometry, of a smooth map ϕ between smooth manifolds) The pushforward or total derivative of ϕ: a linear map from the tangent space at a point x in ϕ's domain to the tangent space at ϕ(x) which is, in a technical sense, the best linear approximation of ϕ at x; denoted operatorname d!ϕₓ. Categories (topical): Differential geometry
    Sense id: en-differential-en-noun-dFDV2pZj
  10. (mathematics) Any of several generalizations of the concept(s) above: e.g. the Kähler differential in the setting of schemes, the quadratic differential in the theory of Riemann surfaces, etc. Categories (topical): Mathematics
    Sense id: en-differential-en-noun-K2EAWx~u Topics: mathematics, sciences
The following are not (yet) sense-disambiguated
Related terms: differ, difference, different, differentiate, differentiation

Inflected forms

Alternative forms

Download JSON data for differential meaning in English (22.4kB)

{
  "derived": [
    {
      "_dis1": "0 0 0 0",
      "word": "time differential"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "different",
        "3": "ial",
        "nocat": "1"
      },
      "expansion": "different + -ial",
      "name": "suffix"
    }
  ],
  "etymology_text": "Morphologically different + -ial.",
  "forms": [
    {
      "form": "more differential",
      "tags": [
        "comparative"
      ]
    },
    {
      "form": "most differential",
      "tags": [
        "superlative"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "differential (comparative more differential, superlative most differential)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [],
      "examples": [
        {
          "text": "differential characteristics",
          "type": "example"
        },
        {
          "ref": "1856, John Lothrop Motley, The Rise of the Dutch Republic: A History, volume 1",
          "text": "[Caspar Schetz, Baron of Grobbendonck] was regularly in the pay of Sir Thomas Gresham, to whom he produced differential favours, and by whose government he was rewarded by gold chains and presents of hard cash, bestowed as secretly as the equivalent was conveyed adroitly.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Of or pertaining to a difference."
      ],
      "id": "en-differential-en-adj-5hegigl8",
      "links": [
        [
          "difference",
          "difference"
        ]
      ],
      "translations": [
        {
          "_dis1": "57 33 8 3",
          "code": "bg",
          "lang": "Bulgarian",
          "roman": "otličitelen",
          "sense": "relating to a difference",
          "word": "отличителен"
        },
        {
          "_dis1": "57 33 8 3",
          "code": "da",
          "lang": "Danish",
          "sense": "relating to a difference",
          "word": "forskels-"
        },
        {
          "_dis1": "57 33 8 3",
          "code": "fi",
          "lang": "Finnish",
          "sense": "relating to a difference",
          "word": "erityinen"
        },
        {
          "_dis1": "57 33 8 3",
          "code": "fi",
          "lang": "Finnish",
          "sense": "relating to a difference",
          "word": "erityis-"
        },
        {
          "_dis1": "57 33 8 3",
          "code": "fi",
          "lang": "Finnish",
          "sense": "relating to a difference",
          "word": "erotus-"
        },
        {
          "_dis1": "57 33 8 3",
          "code": "el",
          "lang": "Greek",
          "roman": "diaforikós",
          "sense": "relating to a difference",
          "tags": [
            "masculine"
          ],
          "word": "διαφορικός"
        },
        {
          "_dis1": "57 33 8 3",
          "code": "pl",
          "lang": "Polish",
          "sense": "relating to a difference",
          "word": "różnicowy"
        },
        {
          "_dis1": "57 33 8 3",
          "code": "es",
          "lang": "Spanish",
          "sense": "relating to a difference",
          "word": "diferencial"
        },
        {
          "_dis1": "57 33 8 3",
          "code": "sv",
          "lang": "Swedish",
          "sense": "relating to a difference",
          "word": "differens-"
        }
      ]
    },
    {
      "categories": [
        {
          "_dis": "0 13 0 12 11 1 10 8 9 4 11 4 8 9",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "Dependent on, or making a difference; distinctive."
      ],
      "id": "en-differential-en-adj-A441kPCA",
      "links": [
        [
          "Dependent",
          "dependent"
        ],
        [
          "making",
          "making"
        ],
        [
          "distinctive",
          "distinctive"
        ]
      ],
      "translations": [
        {
          "_dis1": "0 94 1 5",
          "code": "bg",
          "lang": "Bulgarian",
          "roman": "razgraničitelen",
          "sense": "dependent on, distinctive",
          "word": "разграничителен"
        },
        {
          "_dis1": "0 94 1 5",
          "code": "da",
          "lang": "Danish",
          "sense": "dependent on, distinctive",
          "word": "differentieret"
        },
        {
          "_dis1": "0 94 1 5",
          "code": "fi",
          "lang": "Finnish",
          "sense": "dependent on, distinctive",
          "tags": [
            "dependent"
          ],
          "word": "riippuvainen"
        },
        {
          "_dis1": "0 94 1 5",
          "code": "fi",
          "lang": "Finnish",
          "sense": "dependent on, distinctive",
          "word": "erityinen"
        },
        {
          "_dis1": "0 94 1 5",
          "code": "fi",
          "english": "distinctive",
          "lang": "Finnish",
          "sense": "dependent on, distinctive",
          "word": "erityis-"
        },
        {
          "_dis1": "0 94 1 5",
          "code": "el",
          "lang": "Greek",
          "roman": "diáforos",
          "sense": "dependent on, distinctive",
          "tags": [
            "masculine"
          ],
          "word": "διάφορος"
        }
      ]
    },
    {
      "glosses": [
        "Having differences in speed or direction of motion."
      ],
      "id": "en-differential-en-adj-Moh0pnG~",
      "links": [
        [
          "speed",
          "speed"
        ],
        [
          "direction",
          "direction"
        ],
        [
          "motion",
          "motion"
        ]
      ],
      "translations": [
        {
          "_dis1": "3 6 90 2",
          "code": "fi",
          "english": "speed",
          "lang": "Finnish",
          "sense": "having differences in speed or direction",
          "word": "erinopeuksinen"
        },
        {
          "_dis1": "3 6 90 2",
          "code": "fi",
          "english": "direction",
          "lang": "Finnish",
          "sense": "having differences in speed or direction",
          "word": "erisuuntainen"
        }
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "0 13 0 12 11 1 10 8 9 4 11 4 8 9",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "Of or pertaining to differentiation or the differential calculus."
      ],
      "id": "en-differential-en-adj-GZRwZ5-C",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "differentiation",
          "differentiation"
        ],
        [
          "differential calculus",
          "differential calculus"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Of or pertaining to differentiation or the differential calculus."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "1 17 1 82",
          "code": "bg",
          "lang": "Bulgarian",
          "roman": "diferencialen",
          "sense": "relating to differentiation or differential calculus",
          "word": "диференциален"
        },
        {
          "_dis1": "1 17 1 82",
          "code": "cs",
          "lang": "Czech",
          "sense": "relating to differentiation or differential calculus",
          "word": "diferenciální"
        },
        {
          "_dis1": "1 17 1 82",
          "code": "da",
          "lang": "Danish",
          "sense": "relating to differentiation or differential calculus",
          "word": "differential-"
        },
        {
          "_dis1": "1 17 1 82",
          "code": "fi",
          "lang": "Finnish",
          "sense": "relating to differentiation or differential calculus",
          "word": "differentiaali-"
        },
        {
          "_dis1": "1 17 1 82",
          "code": "fr",
          "lang": "French",
          "sense": "relating to differentiation or differential calculus",
          "word": "différentiel"
        },
        {
          "_dis1": "1 17 1 82",
          "code": "de",
          "lang": "German",
          "sense": "relating to differentiation or differential calculus",
          "tags": [
            "neuter"
          ],
          "word": "Differenzial"
        },
        {
          "_dis1": "1 17 1 82",
          "code": "el",
          "lang": "Greek",
          "roman": "diaforikós",
          "sense": "relating to differentiation or differential calculus",
          "tags": [
            "masculine"
          ],
          "word": "διαφορικός"
        },
        {
          "_dis1": "1 17 1 82",
          "code": "hi",
          "lang": "Hindi",
          "roman": "avkal",
          "sense": "relating to differentiation or differential calculus",
          "word": "अवकल"
        },
        {
          "_dis1": "1 17 1 82",
          "code": "hu",
          "lang": "Hungarian",
          "sense": "relating to differentiation or differential calculus",
          "word": "differenciál"
        },
        {
          "_dis1": "1 17 1 82",
          "code": "io",
          "lang": "Ido",
          "sense": "relating to differentiation or differential calculus",
          "word": "diferenciala"
        },
        {
          "_dis1": "1 17 1 82",
          "code": "kk",
          "lang": "Kazakh",
          "roman": "differensialdyq",
          "sense": "relating to differentiation or differential calculus",
          "word": "дифференциалдық"
        },
        {
          "_dis1": "1 17 1 82",
          "code": "pl",
          "lang": "Polish",
          "sense": "relating to differentiation or differential calculus",
          "word": "różniczkowy"
        },
        {
          "_dis1": "1 17 1 82",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "relating to differentiation or differential calculus",
          "word": "diferencial"
        },
        {
          "_dis1": "1 17 1 82",
          "code": "ru",
          "lang": "Russian",
          "roman": "differenciálʹnyj",
          "sense": "relating to differentiation or differential calculus",
          "word": "дифференциа́льный"
        },
        {
          "_dis1": "1 17 1 82",
          "code": "es",
          "lang": "Spanish",
          "sense": "relating to differentiation or differential calculus",
          "word": "diferencial"
        },
        {
          "_dis1": "1 17 1 82",
          "code": "sv",
          "lang": "Swedish",
          "sense": "relating to differentiation or differential calculus",
          "word": "differential-"
        },
        {
          "_dis1": "1 17 1 82",
          "code": "tl",
          "lang": "Tagalog",
          "sense": "relating to differentiation or differential calculus",
          "word": "tingirin"
        },
        {
          "_dis1": "1 17 1 82",
          "code": "tr",
          "lang": "Turkish",
          "sense": "relating to differentiation or differential calculus",
          "word": "diferansiyel"
        },
        {
          "_dis1": "1 17 1 82",
          "alt": "微分",
          "code": "vi",
          "lang": "Vietnamese",
          "sense": "relating to differentiation or differential calculus",
          "word": "vi phân"
        }
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "[dɪfəˈɹənʃəɫ]"
    },
    {
      "audio": "en-us-differential.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/2/24/En-us-differential.ogg/En-us-differential.ogg.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/2/24/En-us-differential.ogg",
      "tags": [
        "US"
      ],
      "text": "Audio (US)"
    }
  ],
  "wikipedia": [
    "Differential (mathematics)",
    "differential"
  ],
  "word": "differential"
}

{
  "derived": [
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "absolute differential calculus"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "affine differential geometry"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "delay differential equation"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differential amplifier"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differential analyzer"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differential coefficient"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differential diagnosis"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differential equation"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differential form"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differential gear"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differential geometry"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differential lock"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differential medium"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differential psychologist"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differential psychology"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differential scanning calorimetry"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differential screw"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differential steering"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differential structure"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differential thermal analysis"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differential thermometer"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differential topology"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "integro-differential"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "Legendre's differential equation"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "limited-slip differential"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "locking differential"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "open differential"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "ordinary differential equation"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "partial differential"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "partial differential equation"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "stochastic differential equation"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "different",
        "3": "ial",
        "nocat": "1"
      },
      "expansion": "different + -ial",
      "name": "suffix"
    }
  ],
  "etymology_text": "Morphologically different + -ial.",
  "forms": [
    {
      "form": "differentials",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "differential (plural differentials)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differ"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "difference"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "different"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differentiate"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "differentiation"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "_dis": "0 13 0 12 11 1 10 8 9 4 11 4 8 9",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "The differential gear in an automobile, etc."
      ],
      "id": "en-differential-en-noun-zYWjKMnB",
      "links": [
        [
          "differential gear",
          "differential gear"
        ],
        [
          "automobile",
          "automobile"
        ]
      ]
    },
    {
      "glosses": [
        "A qualitative or quantitative difference between similar or comparable things."
      ],
      "id": "en-differential-en-noun-7bOJZjay",
      "links": [
        [
          "qualitative",
          "qualitative"
        ],
        [
          "quantitative",
          "quantitative"
        ],
        [
          "similar",
          "similar"
        ],
        [
          "comparable",
          "comparable"
        ]
      ],
      "translations": [
        {
          "_dis1": "1 73 3 2 5 4 3 2 3 3",
          "code": "da",
          "lang": "Danish",
          "sense": "difference between similar or comparable things",
          "tags": [
            "common-gender"
          ],
          "word": "forskel"
        },
        {
          "_dis1": "1 73 3 2 5 4 3 2 3 3",
          "code": "fi",
          "lang": "Finnish",
          "sense": "difference between similar or comparable things",
          "word": "ero"
        },
        {
          "_dis1": "1 73 3 2 5 4 3 2 3 3",
          "code": "el",
          "lang": "Greek",
          "roman": "diaforikó",
          "sense": "difference between similar or comparable things",
          "tags": [
            "neuter"
          ],
          "word": "διαφορικό"
        },
        {
          "_dis1": "1 73 3 2 5 4 3 2 3 3",
          "code": "id",
          "lang": "Indonesian",
          "sense": "difference between similar or comparable things",
          "word": "perbedaan"
        },
        {
          "_dis1": "1 73 3 2 5 4 3 2 3 3",
          "code": "mi",
          "lang": "Maori",
          "sense": "difference between similar or comparable things",
          "word": "pārōnaki"
        }
      ]
    },
    {
      "glosses": [
        "One of two coils of conducting wire so related to one another or to a magnet or armature common to both, that one coil produces polar action contrary to that of the other."
      ],
      "id": "en-differential-en-noun-zi4Cm5n1",
      "links": [
        [
          "coil",
          "coil"
        ],
        [
          "conduct",
          "conduct"
        ],
        [
          "wire",
          "wire"
        ],
        [
          "magnet",
          "magnet"
        ],
        [
          "armature",
          "armature"
        ],
        [
          "polar",
          "polar"
        ]
      ]
    },
    {
      "glosses": [
        "A form of conductor used for dividing and distributing the current to a series of electric lamps so as to maintain equal action in all."
      ],
      "id": "en-differential-en-noun-RSsjVk8Y",
      "links": [
        [
          "conductor",
          "conductor"
        ],
        [
          "current",
          "current"
        ],
        [
          "Edward H[enry] Knight",
          "w:Edward H. Knight"
        ]
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Calculus",
          "orig": "en:Calculus",
          "parents": [
            "Mathematical analysis",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A quantity representing an infinitesimal change in a variable, now only used as a heuristic aid except in nonstandard analysis but considered rigorous until the 20th century; a fluxion in Newtonian calculus, now usually written in Leibniz's notation as operatorname d!x."
      ],
      "id": "en-differential-en-noun-gYzhxHnu",
      "links": [
        [
          "calculus",
          "calculus"
        ],
        [
          "infinitesimal",
          "infinitesimal"
        ],
        [
          "variable",
          "variable"
        ],
        [
          "heuristic",
          "heuristic"
        ],
        [
          "nonstandard analysis",
          "nonstandard analysis"
        ],
        [
          "fluxion",
          "fluxion"
        ]
      ],
      "raw_glosses": [
        "(calculus) A quantity representing an infinitesimal change in a variable, now only used as a heuristic aid except in nonstandard analysis but considered rigorous until the 20th century; a fluxion in Newtonian calculus, now usually written in Leibniz's notation as operatorname d!x."
      ],
      "topics": [
        "calculus",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "1 1 2 1 48 16 15 4 5 4",
          "code": "bg",
          "lang": "Bulgarian",
          "roman": "diferencial",
          "sense": "infinitesimal change",
          "tags": [
            "masculine"
          ],
          "word": "диференциал"
        },
        {
          "_dis1": "1 1 2 1 48 16 15 4 5 4",
          "code": "nl",
          "lang": "Dutch",
          "sense": "infinitesimal change",
          "tags": [
            "feminine"
          ],
          "word": "differentiaal"
        },
        {
          "_dis1": "1 1 2 1 48 16 15 4 5 4",
          "code": "fi",
          "lang": "Finnish",
          "sense": "infinitesimal change",
          "word": "differentiaali"
        },
        {
          "_dis1": "1 1 2 1 48 16 15 4 5 4",
          "code": "el",
          "lang": "Greek",
          "roman": "diaforikó",
          "sense": "infinitesimal change",
          "tags": [
            "neuter"
          ],
          "word": "διαφορικό"
        },
        {
          "_dis1": "1 1 2 1 48 16 15 4 5 4",
          "code": "he",
          "lang": "Hebrew",
          "roman": "difrentziál",
          "sense": "infinitesimal change",
          "tags": [
            "masculine"
          ],
          "word": "דיפרנציאל"
        },
        {
          "_dis1": "1 1 2 1 48 16 15 4 5 4",
          "code": "hu",
          "lang": "Hungarian",
          "sense": "infinitesimal change",
          "word": "differenciál"
        },
        {
          "_dis1": "1 1 2 1 48 16 15 4 5 4",
          "code": "io",
          "lang": "Ido",
          "sense": "infinitesimal change",
          "word": "diferencialo"
        },
        {
          "_dis1": "1 1 2 1 48 16 15 4 5 4",
          "code": "id",
          "lang": "Indonesian",
          "sense": "infinitesimal change",
          "word": "diferensial"
        },
        {
          "_dis1": "1 1 2 1 48 16 15 4 5 4",
          "code": "nb",
          "lang": "Norwegian Bokmål",
          "sense": "infinitesimal change",
          "tags": [
            "neuter"
          ],
          "word": "differensial"
        },
        {
          "_dis1": "1 1 2 1 48 16 15 4 5 4",
          "code": "nn",
          "lang": "Norwegian Nynorsk",
          "sense": "infinitesimal change",
          "tags": [
            "neuter"
          ],
          "word": "differensial"
        },
        {
          "_dis1": "1 1 2 1 48 16 15 4 5 4",
          "code": "pl",
          "lang": "Polish",
          "sense": "infinitesimal change",
          "tags": [
            "feminine"
          ],
          "word": "różniczka"
        },
        {
          "_dis1": "1 1 2 1 48 16 15 4 5 4",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "infinitesimal change",
          "tags": [
            "feminine"
          ],
          "word": "diferencial"
        },
        {
          "_dis1": "1 1 2 1 48 16 15 4 5 4",
          "code": "ru",
          "lang": "Russian",
          "roman": "differenciál",
          "sense": "infinitesimal change",
          "tags": [
            "masculine"
          ],
          "word": "дифференциа́л"
        },
        {
          "_dis1": "1 1 2 1 48 16 15 4 5 4",
          "code": "es",
          "lang": "Spanish",
          "sense": "infinitesimal change",
          "tags": [
            "feminine"
          ],
          "word": "diferencial"
        },
        {
          "_dis1": "1 1 2 1 48 16 15 4 5 4",
          "code": "sv",
          "lang": "Swedish",
          "sense": "infinitesimal change",
          "tags": [
            "common-gender"
          ],
          "word": "differential"
        },
        {
          "_dis1": "1 1 2 1 48 16 15 4 5 4",
          "code": "tl",
          "lang": "Tagalog",
          "sense": "infinitesimal change",
          "word": "tingid"
        }
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Calculus",
          "orig": "en:Calculus",
          "parents": [
            "Mathematical analysis",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "If f(x)#x3D;x², the differential of f is the function #x5C;operatorname#x7B;d#x7D;#x5C;#x21;f(x,#x5C;Deltax)#x3D;f'(x)#x5C;Deltax#x3D;2x#x5C;Deltax.",
          "type": "example"
        }
      ],
      "glosses": [
        "(calculus, of a univariate differentiable function f(x)) A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f.",
        "A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f."
      ],
      "id": "en-differential-en-noun-u5IF~RA9",
      "links": [
        [
          "calculus",
          "calculus"
        ],
        [
          "univariate",
          "univariate"
        ],
        [
          "differentiable",
          "differentiable"
        ],
        [
          "function",
          "function"
        ],
        [
          "linear",
          "linear"
        ],
        [
          "approximation",
          "approximation"
        ]
      ],
      "raw_glosses": [
        "(calculus, of a univariate differentiable function f(x)) A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f."
      ],
      "raw_tags": [
        "of a univariate differentiable function f(x)"
      ],
      "topics": [
        "calculus",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Calculus",
          "orig": "en:Calculus",
          "parents": [
            "Mathematical analysis",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "0 13 0 12 11 1 10 8 9 4 11 4 8 9",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "(calculus, of a univariate differentiable function f(x)) A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f.",
        "Any of several generalizations of this concept to functions of several variables or to higher orders: the partial differential, total differential, Gateaux differential, etc."
      ],
      "id": "en-differential-en-noun-1T3CvkE7",
      "links": [
        [
          "calculus",
          "calculus"
        ],
        [
          "univariate",
          "univariate"
        ],
        [
          "differentiable",
          "differentiable"
        ],
        [
          "function",
          "function"
        ],
        [
          "linear",
          "linear"
        ],
        [
          "approximation",
          "approximation"
        ],
        [
          "generalizations",
          "generalize"
        ],
        [
          "order",
          "order"
        ],
        [
          "partial differential",
          "partial differential"
        ],
        [
          "total differential",
          "total differential"
        ],
        [
          "etc.",
          "etc."
        ]
      ]
    },
    {
      "glosses": [
        "The Jacobian matrix of a function of several variables."
      ],
      "id": "en-differential-en-noun-fgNnnymX",
      "links": [
        [
          "Jacobian",
          "Jacobian"
        ],
        [
          "matrix",
          "matrix"
        ]
      ],
      "raw_glosses": [
        "(multivariable calculus) The Jacobian matrix of a function of several variables."
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Differential geometry",
          "orig": "en:Differential geometry",
          "parents": [
            "Geometry",
            "Mathematical analysis",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The pushforward or total derivative of ϕ: a linear map from the tangent space at a point x in ϕ's domain to the tangent space at ϕ(x) which is, in a technical sense, the best linear approximation of ϕ at x; denoted operatorname d!ϕₓ."
      ],
      "id": "en-differential-en-noun-dFDV2pZj",
      "links": [
        [
          "differential geometry",
          "differential geometry"
        ],
        [
          "smooth",
          "smooth"
        ],
        [
          "map",
          "map"
        ],
        [
          "smooth manifold",
          "smooth manifold"
        ],
        [
          "pushforward",
          "pushforward"
        ],
        [
          "total derivative",
          "total derivative"
        ],
        [
          "tangent space",
          "tangent space"
        ]
      ],
      "qualifier": "differential geometry",
      "raw_glosses": [
        "(differential geometry, of a smooth map ϕ between smooth manifolds) The pushforward or total derivative of ϕ: a linear map from the tangent space at a point x in ϕ's domain to the tangent space at ϕ(x) which is, in a technical sense, the best linear approximation of ϕ at x; denoted operatorname d!ϕₓ."
      ],
      "raw_tags": [
        "of a smooth map ϕ between smooth manifolds"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Any of several generalizations of the concept(s) above: e.g. the Kähler differential in the setting of schemes, the quadratic differential in the theory of Riemann surfaces, etc."
      ],
      "id": "en-differential-en-noun-K2EAWx~u",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "generalizations",
          "generalize"
        ],
        [
          "scheme",
          "scheme"
        ],
        [
          "Riemann surfaces",
          "Riemann surfaces"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any of several generalizations of the concept(s) above: e.g. the Kähler differential in the setting of schemes, the quadratic differential in the theory of Riemann surfaces, etc."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "[dɪfəˈɹənʃəɫ]"
    },
    {
      "audio": "en-us-differential.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/2/24/En-us-differential.ogg/En-us-differential.ogg.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/2/24/En-us-differential.ogg",
      "tags": [
        "US"
      ],
      "text": "Audio (US)"
    }
  ],
  "wikipedia": [
    "Differential (mathematics)",
    "differential"
  ],
  "word": "differential"
}
{
  "categories": [
    "English adjectives",
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms with IPA pronunciation",
    "English terms with audio links"
  ],
  "derived": [
    {
      "word": "time differential"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "different",
        "3": "ial",
        "nocat": "1"
      },
      "expansion": "different + -ial",
      "name": "suffix"
    }
  ],
  "etymology_text": "Morphologically different + -ial.",
  "forms": [
    {
      "form": "more differential",
      "tags": [
        "comparative"
      ]
    },
    {
      "form": "most differential",
      "tags": [
        "superlative"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "differential (comparative more differential, superlative most differential)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English terms with quotations",
        "English terms with usage examples",
        "Quotation templates to be cleaned"
      ],
      "examples": [
        {
          "text": "differential characteristics",
          "type": "example"
        },
        {
          "ref": "1856, John Lothrop Motley, The Rise of the Dutch Republic: A History, volume 1",
          "text": "[Caspar Schetz, Baron of Grobbendonck] was regularly in the pay of Sir Thomas Gresham, to whom he produced differential favours, and by whose government he was rewarded by gold chains and presents of hard cash, bestowed as secretly as the equivalent was conveyed adroitly.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Of or pertaining to a difference."
      ],
      "links": [
        [
          "difference",
          "difference"
        ]
      ]
    },
    {
      "glosses": [
        "Dependent on, or making a difference; distinctive."
      ],
      "links": [
        [
          "Dependent",
          "dependent"
        ],
        [
          "making",
          "making"
        ],
        [
          "distinctive",
          "distinctive"
        ]
      ]
    },
    {
      "glosses": [
        "Having differences in speed or direction of motion."
      ],
      "links": [
        [
          "speed",
          "speed"
        ],
        [
          "direction",
          "direction"
        ],
        [
          "motion",
          "motion"
        ]
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "Of or pertaining to differentiation or the differential calculus."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "differentiation",
          "differentiation"
        ],
        [
          "differential calculus",
          "differential calculus"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Of or pertaining to differentiation or the differential calculus."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "[dɪfəˈɹənʃəɫ]"
    },
    {
      "audio": "en-us-differential.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/2/24/En-us-differential.ogg/En-us-differential.ogg.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/2/24/En-us-differential.ogg",
      "tags": [
        "US"
      ],
      "text": "Audio (US)"
    }
  ],
  "translations": [
    {
      "code": "bg",
      "lang": "Bulgarian",
      "roman": "otličitelen",
      "sense": "relating to a difference",
      "word": "отличителен"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "relating to a difference",
      "word": "forskels-"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "relating to a difference",
      "word": "erityinen"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "relating to a difference",
      "word": "erityis-"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "relating to a difference",
      "word": "erotus-"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "diaforikós",
      "sense": "relating to a difference",
      "tags": [
        "masculine"
      ],
      "word": "διαφορικός"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "relating to a difference",
      "word": "różnicowy"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "relating to a difference",
      "word": "diferencial"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "relating to a difference",
      "word": "differens-"
    },
    {
      "code": "bg",
      "lang": "Bulgarian",
      "roman": "razgraničitelen",
      "sense": "dependent on, distinctive",
      "word": "разграничителен"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "dependent on, distinctive",
      "word": "differentieret"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "dependent on, distinctive",
      "tags": [
        "dependent"
      ],
      "word": "riippuvainen"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "dependent on, distinctive",
      "word": "erityinen"
    },
    {
      "code": "fi",
      "english": "distinctive",
      "lang": "Finnish",
      "sense": "dependent on, distinctive",
      "word": "erityis-"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "diáforos",
      "sense": "dependent on, distinctive",
      "tags": [
        "masculine"
      ],
      "word": "διάφορος"
    },
    {
      "code": "fi",
      "english": "speed",
      "lang": "Finnish",
      "sense": "having differences in speed or direction",
      "word": "erinopeuksinen"
    },
    {
      "code": "fi",
      "english": "direction",
      "lang": "Finnish",
      "sense": "having differences in speed or direction",
      "word": "erisuuntainen"
    },
    {
      "code": "bg",
      "lang": "Bulgarian",
      "roman": "diferencialen",
      "sense": "relating to differentiation or differential calculus",
      "word": "диференциален"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "relating to differentiation or differential calculus",
      "word": "diferenciální"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "relating to differentiation or differential calculus",
      "word": "differential-"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "relating to differentiation or differential calculus",
      "word": "differentiaali-"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "relating to differentiation or differential calculus",
      "word": "différentiel"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "relating to differentiation or differential calculus",
      "tags": [
        "neuter"
      ],
      "word": "Differenzial"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "diaforikós",
      "sense": "relating to differentiation or differential calculus",
      "tags": [
        "masculine"
      ],
      "word": "διαφορικός"
    },
    {
      "code": "hi",
      "lang": "Hindi",
      "roman": "avkal",
      "sense": "relating to differentiation or differential calculus",
      "word": "अवकल"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "relating to differentiation or differential calculus",
      "word": "differenciál"
    },
    {
      "code": "io",
      "lang": "Ido",
      "sense": "relating to differentiation or differential calculus",
      "word": "diferenciala"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "differensialdyq",
      "sense": "relating to differentiation or differential calculus",
      "word": "дифференциалдық"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "relating to differentiation or differential calculus",
      "word": "różniczkowy"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "relating to differentiation or differential calculus",
      "word": "diferencial"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "differenciálʹnyj",
      "sense": "relating to differentiation or differential calculus",
      "word": "дифференциа́льный"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "relating to differentiation or differential calculus",
      "word": "diferencial"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "relating to differentiation or differential calculus",
      "word": "differential-"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "relating to differentiation or differential calculus",
      "word": "tingirin"
    },
    {
      "code": "tr",
      "lang": "Turkish",
      "sense": "relating to differentiation or differential calculus",
      "word": "diferansiyel"
    },
    {
      "alt": "微分",
      "code": "vi",
      "lang": "Vietnamese",
      "sense": "relating to differentiation or differential calculus",
      "word": "vi phân"
    }
  ],
  "wikipedia": [
    "Differential (mathematics)",
    "differential"
  ],
  "word": "differential"
}

{
  "categories": [
    "English adjectives",
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms with IPA pronunciation",
    "English terms with audio links"
  ],
  "derived": [
    {
      "word": "absolute differential calculus"
    },
    {
      "word": "affine differential geometry"
    },
    {
      "word": "delay differential equation"
    },
    {
      "word": "differential amplifier"
    },
    {
      "word": "differential analyzer"
    },
    {
      "word": "differential coefficient"
    },
    {
      "word": "differential diagnosis"
    },
    {
      "word": "differential equation"
    },
    {
      "word": "differential form"
    },
    {
      "word": "differential gear"
    },
    {
      "word": "differential geometry"
    },
    {
      "word": "differential lock"
    },
    {
      "word": "differential medium"
    },
    {
      "word": "differential psychologist"
    },
    {
      "word": "differential psychology"
    },
    {
      "word": "differential scanning calorimetry"
    },
    {
      "word": "differential screw"
    },
    {
      "word": "differential steering"
    },
    {
      "word": "differential structure"
    },
    {
      "word": "differential thermal analysis"
    },
    {
      "word": "differential thermometer"
    },
    {
      "word": "differential topology"
    },
    {
      "word": "integro-differential"
    },
    {
      "word": "Legendre's differential equation"
    },
    {
      "word": "limited-slip differential"
    },
    {
      "word": "locking differential"
    },
    {
      "word": "open differential"
    },
    {
      "word": "ordinary differential equation"
    },
    {
      "word": "partial differential"
    },
    {
      "word": "partial differential equation"
    },
    {
      "word": "stochastic differential equation"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "different",
        "3": "ial",
        "nocat": "1"
      },
      "expansion": "different + -ial",
      "name": "suffix"
    }
  ],
  "etymology_text": "Morphologically different + -ial.",
  "forms": [
    {
      "form": "differentials",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "differential (plural differentials)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "differ"
    },
    {
      "word": "difference"
    },
    {
      "word": "different"
    },
    {
      "word": "differentiate"
    },
    {
      "word": "differentiation"
    }
  ],
  "senses": [
    {
      "glosses": [
        "The differential gear in an automobile, etc."
      ],
      "links": [
        [
          "differential gear",
          "differential gear"
        ],
        [
          "automobile",
          "automobile"
        ]
      ]
    },
    {
      "glosses": [
        "A qualitative or quantitative difference between similar or comparable things."
      ],
      "links": [
        [
          "qualitative",
          "qualitative"
        ],
        [
          "quantitative",
          "quantitative"
        ],
        [
          "similar",
          "similar"
        ],
        [
          "comparable",
          "comparable"
        ]
      ]
    },
    {
      "glosses": [
        "One of two coils of conducting wire so related to one another or to a magnet or armature common to both, that one coil produces polar action contrary to that of the other."
      ],
      "links": [
        [
          "coil",
          "coil"
        ],
        [
          "conduct",
          "conduct"
        ],
        [
          "wire",
          "wire"
        ],
        [
          "magnet",
          "magnet"
        ],
        [
          "armature",
          "armature"
        ],
        [
          "polar",
          "polar"
        ]
      ]
    },
    {
      "glosses": [
        "A form of conductor used for dividing and distributing the current to a series of electric lamps so as to maintain equal action in all."
      ],
      "links": [
        [
          "conductor",
          "conductor"
        ],
        [
          "current",
          "current"
        ],
        [
          "Edward H[enry] Knight",
          "w:Edward H. Knight"
        ]
      ]
    },
    {
      "categories": [
        "en:Calculus"
      ],
      "glosses": [
        "A quantity representing an infinitesimal change in a variable, now only used as a heuristic aid except in nonstandard analysis but considered rigorous until the 20th century; a fluxion in Newtonian calculus, now usually written in Leibniz's notation as operatorname d!x."
      ],
      "links": [
        [
          "calculus",
          "calculus"
        ],
        [
          "infinitesimal",
          "infinitesimal"
        ],
        [
          "variable",
          "variable"
        ],
        [
          "heuristic",
          "heuristic"
        ],
        [
          "nonstandard analysis",
          "nonstandard analysis"
        ],
        [
          "fluxion",
          "fluxion"
        ]
      ],
      "raw_glosses": [
        "(calculus) A quantity representing an infinitesimal change in a variable, now only used as a heuristic aid except in nonstandard analysis but considered rigorous until the 20th century; a fluxion in Newtonian calculus, now usually written in Leibniz's notation as operatorname d!x."
      ],
      "topics": [
        "calculus",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "English terms with usage examples",
        "en:Calculus"
      ],
      "examples": [
        {
          "text": "If f(x)#x3D;x², the differential of f is the function #x5C;operatorname#x7B;d#x7D;#x5C;#x21;f(x,#x5C;Deltax)#x3D;f'(x)#x5C;Deltax#x3D;2x#x5C;Deltax.",
          "type": "example"
        }
      ],
      "glosses": [
        "(calculus, of a univariate differentiable function f(x)) A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f.",
        "A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f."
      ],
      "links": [
        [
          "calculus",
          "calculus"
        ],
        [
          "univariate",
          "univariate"
        ],
        [
          "differentiable",
          "differentiable"
        ],
        [
          "function",
          "function"
        ],
        [
          "linear",
          "linear"
        ],
        [
          "approximation",
          "approximation"
        ]
      ],
      "raw_glosses": [
        "(calculus, of a univariate differentiable function f(x)) A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f."
      ],
      "raw_tags": [
        "of a univariate differentiable function f(x)"
      ],
      "topics": [
        "calculus",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "English terms with usage examples",
        "en:Calculus"
      ],
      "glosses": [
        "(calculus, of a univariate differentiable function f(x)) A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f.",
        "Any of several generalizations of this concept to functions of several variables or to higher orders: the partial differential, total differential, Gateaux differential, etc."
      ],
      "links": [
        [
          "calculus",
          "calculus"
        ],
        [
          "univariate",
          "univariate"
        ],
        [
          "differentiable",
          "differentiable"
        ],
        [
          "function",
          "function"
        ],
        [
          "linear",
          "linear"
        ],
        [
          "approximation",
          "approximation"
        ],
        [
          "generalizations",
          "generalize"
        ],
        [
          "order",
          "order"
        ],
        [
          "partial differential",
          "partial differential"
        ],
        [
          "total differential",
          "total differential"
        ],
        [
          "etc.",
          "etc."
        ]
      ]
    },
    {
      "glosses": [
        "The Jacobian matrix of a function of several variables."
      ],
      "links": [
        [
          "Jacobian",
          "Jacobian"
        ],
        [
          "matrix",
          "matrix"
        ]
      ],
      "raw_glosses": [
        "(multivariable calculus) The Jacobian matrix of a function of several variables."
      ]
    },
    {
      "categories": [
        "en:Differential geometry"
      ],
      "glosses": [
        "The pushforward or total derivative of ϕ: a linear map from the tangent space at a point x in ϕ's domain to the tangent space at ϕ(x) which is, in a technical sense, the best linear approximation of ϕ at x; denoted operatorname d!ϕₓ."
      ],
      "links": [
        [
          "differential geometry",
          "differential geometry"
        ],
        [
          "smooth",
          "smooth"
        ],
        [
          "map",
          "map"
        ],
        [
          "smooth manifold",
          "smooth manifold"
        ],
        [
          "pushforward",
          "pushforward"
        ],
        [
          "total derivative",
          "total derivative"
        ],
        [
          "tangent space",
          "tangent space"
        ]
      ],
      "qualifier": "differential geometry",
      "raw_glosses": [
        "(differential geometry, of a smooth map ϕ between smooth manifolds) The pushforward or total derivative of ϕ: a linear map from the tangent space at a point x in ϕ's domain to the tangent space at ϕ(x) which is, in a technical sense, the best linear approximation of ϕ at x; denoted operatorname d!ϕₓ."
      ],
      "raw_tags": [
        "of a smooth map ϕ between smooth manifolds"
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "Any of several generalizations of the concept(s) above: e.g. the Kähler differential in the setting of schemes, the quadratic differential in the theory of Riemann surfaces, etc."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "generalizations",
          "generalize"
        ],
        [
          "scheme",
          "scheme"
        ],
        [
          "Riemann surfaces",
          "Riemann surfaces"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any of several generalizations of the concept(s) above: e.g. the Kähler differential in the setting of schemes, the quadratic differential in the theory of Riemann surfaces, etc."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "[dɪfəˈɹənʃəɫ]"
    },
    {
      "audio": "en-us-differential.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/2/24/En-us-differential.ogg/En-us-differential.ogg.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/2/24/En-us-differential.ogg",
      "tags": [
        "US"
      ],
      "text": "Audio (US)"
    }
  ],
  "translations": [
    {
      "code": "da",
      "lang": "Danish",
      "sense": "difference between similar or comparable things",
      "tags": [
        "common-gender"
      ],
      "word": "forskel"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "difference between similar or comparable things",
      "word": "ero"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "diaforikó",
      "sense": "difference between similar or comparable things",
      "tags": [
        "neuter"
      ],
      "word": "διαφορικό"
    },
    {
      "code": "id",
      "lang": "Indonesian",
      "sense": "difference between similar or comparable things",
      "word": "perbedaan"
    },
    {
      "code": "mi",
      "lang": "Maori",
      "sense": "difference between similar or comparable things",
      "word": "pārōnaki"
    },
    {
      "code": "bg",
      "lang": "Bulgarian",
      "roman": "diferencial",
      "sense": "infinitesimal change",
      "tags": [
        "masculine"
      ],
      "word": "диференциал"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "infinitesimal change",
      "tags": [
        "feminine"
      ],
      "word": "differentiaal"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "infinitesimal change",
      "word": "differentiaali"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "diaforikó",
      "sense": "infinitesimal change",
      "tags": [
        "neuter"
      ],
      "word": "διαφορικό"
    },
    {
      "code": "he",
      "lang": "Hebrew",
      "roman": "difrentziál",
      "sense": "infinitesimal change",
      "tags": [
        "masculine"
      ],
      "word": "דיפרנציאל"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "infinitesimal change",
      "word": "differenciál"
    },
    {
      "code": "io",
      "lang": "Ido",
      "sense": "infinitesimal change",
      "word": "diferencialo"
    },
    {
      "code": "id",
      "lang": "Indonesian",
      "sense": "infinitesimal change",
      "word": "diferensial"
    },
    {
      "code": "nb",
      "lang": "Norwegian Bokmål",
      "sense": "infinitesimal change",
      "tags": [
        "neuter"
      ],
      "word": "differensial"
    },
    {
      "code": "nn",
      "lang": "Norwegian Nynorsk",
      "sense": "infinitesimal change",
      "tags": [
        "neuter"
      ],
      "word": "differensial"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "infinitesimal change",
      "tags": [
        "feminine"
      ],
      "word": "różniczka"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "infinitesimal change",
      "tags": [
        "feminine"
      ],
      "word": "diferencial"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "differenciál",
      "sense": "infinitesimal change",
      "tags": [
        "masculine"
      ],
      "word": "дифференциа́л"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "infinitesimal change",
      "tags": [
        "feminine"
      ],
      "word": "diferencial"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "infinitesimal change",
      "tags": [
        "common-gender"
      ],
      "word": "differential"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "infinitesimal change",
      "word": "tingid"
    }
  ],
  "wikipedia": [
    "Differential (mathematics)",
    "differential"
  ],
  "word": "differential"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-26 from the enwiktionary dump dated 2024-04-21 using wiktextract (93a6c53 and 21a9316). 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.