英语词汇“rational to”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

a. Mathematics. Of a number, quantity, etc.: able to be expressed as a ratio of two whole numbers. †rational to: having a ratio to another quantity which is a rational number (obsolete).For example, the decimal 0.25 may be represented as 1/4 and so is rational; 0.3333…, although a recurring decimal, is equivalent to 1/3 and so is also rational.In translations of Euclid applied to a quantity whose square is rational (in the usual sense) but which may itself be irrational. Cf. note at irrational adj. 3.

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the world > relative properties > number > mathematical number or quantity > [adjective] > prime > rational

rational1570

1570 H. Billingsley tr. Euclid Elements Geom. v. f. 127 Such magnitudes or quantities, which may be expressed by numbre, are called rationall [L. rationalis].

1614 W. Bedwell De Numeris Geometricis i. 2 The Base and Height are said to be rational one to another, when as the rate or reason of both may be expressed by a number of the same measure given.

1660 tr. I. Barrow Euclide's Elements x. 237 The square of a binomiall line..applyed unto a rationall line.

1706 W. Jones Synopsis Palmariorum Matheseos 116 Rational Quantities may be reduced to the Form of any assign'd Root.

1798 C. Hutton Course Math. I. 80 The square root of 3 is a surd root; but the square root of 4 is a rational root, being equal to 2.

1881 Philos. Trans. (Royal Soc.) 172 714 A similar expression..may be found for the sum of any number of such integrals each multiplied by any rational number positive or negative, integral or fractional.

1940 C. C. MacDuffee Introd. Abstract Algebra iii. 82 A quadratic equation with rational coefficients which does not have a rational root.

1966 R. E. Johnson Univ. Algebra i. 20 There exist consecutive integers n and n + 1, but there do not exist consecutive rational numbers.

2004 M. Potter Set Theory & its Philos. viii. 138 A real number is said to be algebraic if it is a root of a polynomial equation with rational coefficients; transcendental if not.

单词	rational to
释义	> as lemmas rational to a. Mathematics. Of a number, quantity, etc.: able to be expressed as a ratio of two whole numbers. †rational to: having a ratio to another quantity which is a rational number (obsolete).For example, the decimal 0.25 may be represented as 1/4 and so is rational; 0.3333…, although a recurring decimal, is equivalent to 1/3 and so is also rational.In translations of Euclid applied to a quantity whose square is rational (in the usual sense) but which may itself be irrational. Cf. note at irrational adj. 3. ΘΚΠ the world > relative properties > number > mathematical number or quantity > [adjective] > prime > rational rational1570 1570 H. Billingsley tr. Euclid Elements Geom. v. f. 127 Such magnitudes or quantities, which may be expressed by numbre, are called rationall [L. rationalis]. 1614 W. Bedwell De Numeris Geometricis i. 2 The Base and Height are said to be rational one to another, when as the rate or reason of both may be expressed by a number of the same measure given. 1660 tr. I. Barrow Euclide's Elements x. 237 The square of a binomiall line..applyed unto a rationall line. 1706 W. Jones Synopsis Palmariorum Matheseos 116 Rational Quantities may be reduced to the Form of any assign'd Root. 1798 C. Hutton Course Math. I. 80 The square root of 3 is a surd root; but the square root of 4 is a rational root, being equal to 2. 1881 Philos. Trans. (Royal Soc.) 172 714 A similar expression..may be found for the sum of any number of such integrals each multiplied by any rational number positive or negative, integral or fractional. 1940 C. C. MacDuffee Introd. Abstract Algebra iii. 82 A quadratic equation with rational coefficients which does not have a rational root. 1966 R. E. Johnson Univ. Algebra i. 20 There exist consecutive integers n and n + 1, but there do not exist consecutive rational numbers. 2004 M. Potter Set Theory & its Philos. viii. 138 A real number is said to be algebraic if it is a root of a polynomial equation with rational coefficients; transcendental if not. extracted from rationaladj.adv. < as lemmas
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