查询词典 algebraic geometry

The polynomial function bases are used to form the approximately matching function. Moreover, the discrete values of grey image is transformed to polinomial function that are exact fit at the considered pixel locations. As a result, The mathematical operations performed such as derivation, integration, and gradient evaluation also give out the polynomial functions, therefore, the system of undetermined coefficient equations is derived to be a system of linear algebraic equations.

我们把立体匹配过程看作泛函的极小化过程，因此选用变分问题近似解法的Ritz法构造数值算法，以多项式函数为基构作匹配函数的近似解，进而又利用多项式过样值点的拟合将离散的灰度图象变换为多项式函数，因此计算中所需的求导，积分，及梯度运算的结果仍然是多项式函数，最终将待定系数方程组化为线性代数方程组。

The "compressed sparse row data format" is adopted to save storage and the "mode multiplication" is used to improve the computation efficiency, so that the finite integration equation is obtained with low storage and high efficiency. To solve the finite integration equation, which is a large-scale sparse algebraic eigenvalue problem under the condition specified, the Krylov subspace iteration method is introduced and the shift-invert Arnoldi method is proposed to exclude the unphysical static electro-magnetic solution and get the needed eigensolution around the specified eigenvalue.

采用"行索引稀疏格式"压缩存贮技术节约内存，采用大型稀疏矩阵的模式乘法，提高矩阵计算效率，高效获得了离散电场分量满足的有限积分方程；针对有限积分特征方程的求解，论文介绍了大型稀疏矩阵Krylov子空间迭代方法，并提出了位移求逆Arnoldi算法，以排除非物理的静态电磁场解，获得指定频率附近的特征值。

To extract vanishing point, we present an algebraic and heuristic search method, without demanding much computation and storage.

本文研究了计算机视觉中摄像机校准和目标运动参数估计两个问题。

By learning this course, students should proficiently use algebraic methods to solve geometric problems and practical problems, and proficiently grasp the basic ideas and methods of vector algebra and geometric properties of spatial line, plane and quadratic surface.

通过本课程的学习使学生熟练掌握运用代数方法解决几何问题并应用于实际问题之中，并熟练掌握向量代数的基本思想和方法，同时使学生熟练掌握空间的直线、平面和二次曲面及其各种几何性质。

The theory of vector space is an important and extensively applied algebraic branch of which matrix is one of the most important tools.

一个重要的有广泛应用的代数分支是线性空间理论，矩阵是其中最重要的工具。

This dissertation proposed a new linear algebraic approach—Cumulant Enhancement All Vector Orthogonal Subspace for identification of a nonminimum phase moving average model.

实验分析表明双谱在故障诊断中有较强的特征提取作用和高斯噪声抑制能力。

On one hand, profound understanding of harmonic oscillator model through various ways is crucial to understand the essence of quantum mechanics and research into micro physical models by means of quantum mechanics; on the other hand, the application of algebraic approach to solve the eigenvalues and wave function of mechanics is the main means to solve the actual problems in quantum mechanics.

简谐振子模型是量子力学中极其简单又重要的模型，其物理思想在其他相关的学科中都有着广泛的应用，通过多种途径去深入理解简谐振子模型，对理解量子力学的实质和运用量子力学作为工具去研究微观物理模型都有重要的意义；另一方面在实际工作中应用代数方法去求解力学量的本征值和波函数是研究量子力学的主要手段。

A British public that can do algebraic equations, draw an amoeba and recite On Westminster Bridge is illiterate when it comes to economics.

一名英国的公众人物，他可能会解方程，会画变形虫，还会把十四行诗《威斯敏斯特桥上》倒背如流，但当他谈到经济的时候却是一个白痴（这位白痴应该暗指热衷于给夫人写情诗的布朗首相，译者注）。

An algebraic method is derived for calculating the number of zeros of Abelian integrals in this paper.

而文献[66]得到的结果是其上界为4，因此本文改进了已有的结论。

The integral group rings of finite abelian groups are of great importance in algebraic k-theory.

有限交换群的整群环是一类非常重要的环，计算它的相对K_1群在代数K-理论中具有重要的意义。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。