See without loss of generality on Wiktionary
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"text": "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#x2B;y²#x3D;1.",
"type": "example"
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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."
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"(mathematics) 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."
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"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "bùshī yībānxìng",
"sense": "without loss of generality",
"word": "不失一般性"
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"code": "da",
"lang": "Danish",
"sense": "without loss of generality",
"word": "uden tab af generalitet"
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"code": "nl",
"lang": "Dutch",
"sense": "without loss of generality",
"word": "zonder verlies van algemeenheid (z.v.v.a.)"
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"code": "fi",
"lang": "Finnish",
"sense": "without loss of generality",
"word": "yleisyyttä menettämättä"
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"code": "fr",
"lang": "French",
"sense": "without loss of generality",
"word": "sans perte de généralité"
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"code": "ka",
"lang": "Georgian",
"roman": "zogadobis šeuzɣudavad",
"sense": "without loss of generality",
"word": "ზოგადობის შეუზღუდავად"
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"code": "de",
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"sense": "without loss of generality",
"word": "ohne Beschränkung der Allgemeinheit"
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"code": "de",
"lang": "German",
"sense": "without loss of generality",
"word": "o. B. d. A."
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"code": "de",
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"sense": "without loss of generality",
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"code": "he",
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"roman": "blí hagbalát haklaliút",
"sense": "without loss of generality",
"word": "בלי הגבלת הכלליות"
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"code": "he",
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"sense": "without loss of generality",
"word": "בה\"כ"
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"code": "hu",
"lang": "Hungarian",
"sense": "without loss of generality",
"word": "az általánosság elvesztése nélkül"
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"code": "ro",
"lang": "Romanian",
"sense": "without loss of generality",
"word": "fără a reduce generalitatea"
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"code": "es",
"lang": "Spanish",
"sense": "without loss of generality",
"word": "sin pérdida de generalidad"
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"code": "cmn",
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"roman": "bùshī yībānxìng",
"sense": "without loss of generality",
"word": "不失一般性"
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"word": "uden tab af generalitet"
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"sense": "without loss of generality",
"word": "zonder verlies van algemeenheid (z.v.v.a.)"
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"lang": "Finnish",
"sense": "without loss of generality",
"word": "yleisyyttä menettämättä"
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"sense": "without loss of generality",
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"roman": "zogadobis šeuzɣudavad",
"sense": "without loss of generality",
"word": "ზოგადობის შეუზღუდავად"
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"roman": "blí hagbalát haklaliút",
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"word": "בלי הגבלת הכלליות"
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