A curve may end.Logical formLearned from4 sentences. An elliptic curve can be over rational numbers.Logical formLearned from4 sentences. A curve may pertain-to a bust.Logical formLearned from4 sentences. A case can be for a curve.Logical formLearned from4 sentences. A (knuckle curve) may pertain-to a male.Logical formLearned from4 sentences. Algebraic curves can be arbitrary.Logical formLearned from4 sentences. A curve may undergo intersections.Logical formLearned from4 sentences. A (plane curve) may be given.Logical formLearned from4 sentences. A curve can be a book.Logical formLearned from4 sentences. A representation may show curves.Logical formLearned from4 sentences. Data may produce a normal (distribution curve).Logical formLearned from4 sentences. Curves may undergo a demonstration.Logical formLearned from4 sentences. A proof may pertain-to a (curve theorem).Logical formLearned from4 sentences. A region may pertain-to a (cost curve).Logical formLearned from4 sentences. Rational points can be on an elliptic curve.Logical formLearned from4 sentences.