作为数论的一个分支，二元二次型理论有着悠久的历史。
As a branch of number theory, the theory of binary quadratic forms has a long history.
以重油催化裂化装置生产的重组分油为原料，采用二次脱沥青精制工艺，可制备二元族烃型橡胶增塑剂。
The dual-group hydrocarbon type rubber plasticizer was prepared using the heavy components in the production of heavy oil catalytic cracking by secondary deasphalting process.
本文利用二次型理论给出了二次函数最值的一个充分条件及求法 ，定义了二元齐次多项式的正定性 ，并基于定义给出了二元函数极值的一个充分条件。
This paper is mainly devoted to provide a supplementary analysis of extreme value problem of bivariate functions, in which a new sufficient condition and its concise proof when critical case is given.
本文利用二次型理论给出了二次函数最值的一个充分条件及求法 ，定义了二元齐次多项式的正定性 ，并基于定义给出了二元函数极值的一个充分条件。
This paper is mainly devoted to provide a supplementary analysis of extreme value problem of bivariate functions, in which a new sufficient condition and its concise proof when critical case is given.
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