查询词典 mapping theorem

Based on the theory of isomorphic mapping and singular value decomposition theorem, the maximum of the kernel Fisher discrimination criterion can be skillfully acquired by solving the minimum of its reciprocal in a small space, and the final solution is acquired without taking account of the null space and non-null space of the kernel within-class scatter matrices separately.

基于同构映射原理和奇异值分解定理，在一个更小的空间内将核Fisher描述准则函数的极大值问题转化为其倒数的极小值问题，使最终的解不需要分开考虑核类内散度矩阵的零空间和非零空间。

In this paper, according to the exponential mapping relation between Liegroup SO(3) and Lie algebra so(3), we have obtained a theorem about theexponential representation of orthogonal tensors.

本文根据李群SO(3)与李代数so(3)之间的指数映射关系，得到了正交张量的指数表示定理。

In chapter 2,we generalize the open mapping theorem concerned with convex maps.

首先，我们在赋范空间中，推广了完备图的凸映射的开映射定理。

And proves the cover theorem of K-quasimeromorphic mapping.

证明了K-拟亚纯映射的一个掩盖定理。

Based on contraction mapping theorem of analysis mathematics, the non-steady flow mathematical model of mine ventilation network was analyzed.

利用分析数学的压缩映射原理，对矿井通风网络非稳定流动数学模型进行了分析，得出了数学模型数值解收敛的条件，确定了以惯性系数排序选择最小生成树的回路选择方案，为矿井通风网络非稳定流动数学模型数值解的收敛性提供了理论依据。

Firstly,we prove that the open mapping theorem to situations where spaces are normed and the graphs of convex maps are complete.

其次，我们还推广了在可度量化拓扑线性空间中，完备图的线性映射是开映射的结果。

Using integral equation theory and"contraction mapping"theorem, we prove that this model has a unique solution.

接着用压缩映象原理证明了此模型解的存在唯一性，这为讨论经济系统的稳定性奠定了数学基础，又通过对定常的投资方程渐近稳定性的研究和非定常投资方程Liapunov稳定性研究，我们分别讨论了积累率、劳动力和科技进步对经济增长的作用，进而指出只有依靠科技进步才能实现经济的持续增长，才能真正提高人民的生活水平。

Vector variational inequalities,open mapping theorem and conjugate formulae play important roles in analysis.

向量变分不等式，开映射定理和共轭公式在分析学中都占有重要的地位，本文对这三类问题进行了研究。

The spectral mapping theorem about integrated semigroup is also obtained.

进而得到了 n次积分半群的谱映射定理。

Based on the characters of singularity detection of signals of wavelet edge detection, this method is successful not only to detect the DNB, CHF and T〓, but to quantify and locate them. 6. Based on mapping theorem, a new numerical method—artificial neural networks numerical method is developed creatively.

五、通过利用边缘检测小波对信号奇异性的检测特性，实现了小波边缘检测方法在两相流动实验分析中的应用，将其推广应用到对气液两相流动的DNB、CHF和T〓等特性点的检测、定位和定量分析上，并获得成功。

He paid $5,000 for this cupcake.

他我这个纸杯蛋糕花了5000美元。

I mean, if you want to, that is

我的意思是，如果你们想吃的话。