双线性

Based on the construction of reference ele ment and bilinear transformation, a quasi-Wilson element for arbitrary narrow q uadrilateral is presented.

基于参考元的构造和双线性变换，本文给出了一个任意窄四边形类Wilson元。

Here '' B '' is called the '''associated bilinear form'''; it is a

这里的 '' B ''被称为'''相伴双线性形式'''；它是

Furthermore, the existing condition of stable controlling for another form of the system is studied and the sufficient condition of making a closed loop system asymptotically stable in local bound is also discussed.

然后，研究了另一形式的滞后离散广义双线性系统稳定控制存在的条件，并给出了使闭环系统局部渐近稳定的充分条件。

In this method, surface interpolation based on Biharmonic spline was used for image spatial mapping.

本文提出一种图像变形方法，利用Biharmonic样条曲面插值实现空间映射，采用后向映射和双线性插值进行图像重采样。

We have classified all types of the solvable Lie algebras with nondegenerate invariant bilinear form.

我们给出了带有非退化不变对称双线性型的可解李代数的完全分类。

So if 2 is invertible in ''R''(when ''R'' is a field this is the same as having characteristic not 2), then we can recover the quadratic form from the symmetric bilinear form ''B'' by

所以如果 2 在''R''中是可逆的(在''R''是一个域的时候这同于有不是 2 的特征)，则我们可以从对称双线性形式''B''恢复二次形式，通过

It is true that the discrete version of Korn's second inequality does not hold in the standard Crouziex-Raviart 1 element space. In [24] , the strain tensor was modified, at the same time, the bilinear form changed, as a result the modified discrete version of Korn's second inequality holding in the standard Crouziex-Raviart 1 element space.

我们知道，在标准的Crouziex-Raviart 1元空间中第二Korn不等式的离散形式是不成立，Falk在[24]中修改了应变张量，相应的弹性问题的双线性型也被修改，这样，修改后的第二Korn不等式的离散形式在标准的Crouziex-Raviart 1元空间中成立。

Starting from two-line soliton solution of an integrable2+1-dimensional system in bilinear form,one can find a dromion solution that is localized in all directions for a suitable potential.

从2+1维双线性形式的非局域BussinesqNLBQ方程和KP方程的隐线孤子解出发，可以找到与某种势所相应的各方向都指数衰减的dromion解。

In section 3 ,we will introduce bilinear form B on Lie colour algebra L. is called quadratic if B is color symmetric .non-degenerate and invariant .In this case ,B is called an invariant scalar product on L .

第三部分介绍了具有双线性型B的李color代数L，如果B是color对称的，非退化的和color不变的，则称是二次李color代数，B则称为不变数量积，给出了理想非退化的定义。

Ringel realized positive parts of semisimple Lie algebras in the framework of Ringel-Hall algebras. The main result of this thesis is to build a geometric and topological model over triangulated categories such as derived categories and stable module categories of repetitive algebras. We defines a Lie bracket by Euler characteristics of constructible subsets and thus realizes infinite dimensional Lie algebras of various types with non-degenerated bilinear form.

本文的主要结果是在导出范畴和重复代数的稳定模范畴等三角范畴水平上建立相应的几何-拓扑模型，并利用相应可构集的欧拉示性数定义了一个Hall代数的交换子乘法，从而在三角范畴水平上实现了一大类无限维李代数的整体构造，并且这类李代数本质上都具有非退化的不变双线性型。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新