By use of the real quadratic form theory, the general method of Factoring real quadratic polynomials is given.
本文利用实二次型理论给出分解实二次多项式的一般方
This algorithm is effective and practicable for discriminating definite or non definite real quadratic forms with linear restriction.
针对经济学中较为常见的判别线性约束下实二次型的正定性问题，研究了实对称矩阵的有关性质，提出了一个判别一般实对称矩阵是（半）正定、（半）负定或不定矩阵的有效而实用的算法，较好地解决了带线性约束与无约束的实二次型有定或不定性的判别问题。
In this note, we prove a congruence relation on real quadratic fields which relates class number and certain character sum.
本文证明了关于实二次域的类数和某类特征和的同余式,同时给出某类实二次域的类数可除性的一个判别法则。
An upper bound for class numbers of real quadratic fields Q(p～(1/2)) with p≡3(mod4);
实二次域Q(p～(1/2))(p≡3(mod4))类数的上界
Let h andεdenote the class number and the fundamental unit of the real quadratic field Q(p~(1/2)), respectively.
设素数P≡1(mod4),k,ε分别表示实二次域Q(p~(1/2))类数和基本单位。
The article analyzes decomposition of the real quadratic form and Hermite quadratic form,and ascertain the condition which the real quadratic form and Hermite quadratic form can separate the product of two linear polynomials.
分析了实二次齐式和厄米特齐式的分解因式,并确定了实二次齐式和厄米特齐式能分解为两个一次因式乘积的条件。