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With a constraining assumption that, however, makes it clear how to apply the proof performed under this assumption to the general case unconstrained by the assumption.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
Examples
- We wish to prove two ellipses in the plane intersect in an even number of points or are tangent. Without loss of generality, assume one of them has the equation x2#43;y2#61;1.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
No etymology was provided for this word.
Across languages
Translations
18 source translations are retained for this English entry.
-
Chinese Mandarin:
不失一般性
(bùshī yībānxìng)
— without loss of generality
-
Czech:
bez újmy na obecnosti
— without loss of generality
-
Danish:
uden tab af generalitet
— without loss of generality
-
Dutch:
zonder verlies van algemeenheid (z.v.v.a.)
— without loss of generality
-
Finnish:
yleisyyttä menettämättä
— without loss of generality
-
French:
sans perte de généralité
— without loss of generality
-
Georgian:
ზოგადობის შეუზღუდავად
(zogadobis šeuzɣudavad)
— without loss of generality
-
German:
ohne Beschränkung der Allgemeinheit
— without loss of generality
-
German:
o. B. d. A.
— without loss of generality
-
German:
o. E.
— without loss of generality
-
Hebrew:
בלי הגבלת הכלליות
(blí hagbalát haklaliút)
— without loss of generality
-
Hebrew:
בה״כ
— without loss of generality
-
Hungarian:
az általánosság elvesztése nélkül
— without loss of generality
-
Indonesian:
tanpa mengurangi keumuman
— without loss of generality
-
Romanian:
fără a reduce generalitatea
— without loss of generality
-
Russian:
без потери общности
(bez poteri obščnosti)
— without loss of generality
-
Russian:
не теряя общности
(ne terjaja obščnosti)
— without loss of generality
-
Spanish:
sin pérdida de generalidad
— without loss of generality
