子行列式

Evaluate the determinant, taking into account that fermionic fields obey an antiperiodic boundary condition,.

估算行列式并考虑费米子场满足反周期边界条件。

If a symmetrical matrix is positive definite, the determinants of all its minors are also positive.

如果对称矩阵是为正定者，它的所有子式的行列式也都是正的。

It turns out that minor prime factorization and determinantal factorization are two interesting special cases of the proposal general factorization.

其中体现出来子式和行列式分解是一般分解方案中两种有趣特殊的。

First,the determinant is regarded as a function of or- der n and denoted by D;Second,the determinant is expanded by row or by column,then the relation in both of Dand subdeterminants will be examined in details to set up certain a recursion,generally speaking,it must be a homogenous or a non homogenous recursion;fi- nally the coefficients of the general solution are found out with the aid.

给出了用递归关系方法求任意 n 阶行列式的值的一般方法：首先，把已知的 n 阶行列式看作为阶数 n 的一个函数，记为 D；其次，按行或按列展开这个行列式，并仔细观察存在于余子式及 D里的关系，建立关于 D的某一递归关系，此关系总为一个齐次的或非齐次的递归关系；最后，借助于 D(0)、D(1)和D(2)等求出递归关系的通解的系数。

I am sure after a few weeks of adaptation and familiarization I will have no difficulty in functioning on a daily basis in an English speaking society or in participating fully in graduate studies.

在大学的三年的学习生活不仅给予我自身的充实，更重要的是磨练和培养了我较强的自觉能力和严谨，踏实的作风以及不怕困难的精神，对未来充满了信心！

As the first volcanoes erupted, one of the gases that bellowed out was steam.

在第一批火山喷发时，喷出的气体之一就是水蒸汽。