The Characterization of Strong-Efficient Solution of Set-Valued Vector Optimization with Generalized Gradient 用广义梯度刻画集值优化的强有效解调强放射治疗中强度分布优化方法的研究
In this paper, the connectedness of KTproper efficient solution set for vector minimization is discussed. 讨论了向量极值问题KT真有效解集的连通性问题。
It is proven that the MT can get the unique solution for magnetic vector potential boundary value problems that has a unique solution. 数学分析结果表明,对于具有唯一解的矢量磁位静磁场边值问题,多极理论所获得的解是唯一的。
The Properties of Weak Effective Solution of Vector Optimization Problems of Set Valued Mapping 集值映射向量优化问题弱有效解的性质
Iterative Inversion of Canopy Biomass and Surface Moisture by Using Multi-Order Mueller Matrix Solution of Vector Radiative Transfer Equation 用多阶Mueller矩阵解对非均匀地表植被生物量和土壤湿度的迭代反演
Direct difference solution of vector wave equation 矢量波动方程的直接差分解法
The appearance of withdrawal vector potential T shows that the unique solution of vector potentials obtained via defining its divergence is not a unique method. 退化位T的出现,表明用给定矢量位的散度来获得唯一解并不是唯一的方法。
Iterative approach of high-order scattering solution for vector radiative transfer of inhomogeneous media layer 非均匀散射层矢量辐射传输(VRT)方程高阶散射解的迭代法
Benson proper solution in vector optimization 向量优化问题的Benson真有效解
The tractor load vector is defined and the solution of the vector in different input load is presented. 定义了拖拉机外载向量,给出了在各种输入条件下外载向量的求解过程。
Based on the wave equations of electromagnetic field, a new time-domain numerical method, which is direct difference solution of vector wave equation, is researched. Calculating formulas of electric field is also given. 对电磁场波动方程进行了分析,研究了一种基于电场波动方程的时域数值方法,即波动方程的差分解法,并给出了电场的计算公式。
In this paper the questions in some literatures on uniqueness of boundary value problems are pointed out. The conditions of unique solution of general vector fields are derived and the uniqueness of electromagnetic potentials in time-changing field are discussed. 本文指出了边值问题唯一性条件的几种提法所存在的问题,导出了一般矢量场唯一解的条件,并对时变场中电磁场的唯一性进行了讨论。
In this paper, the method of solution in the vector format for a kind of dual singular integral equation with two convolution kernels is discussed, and the general explicit solution and the related conditions of solvability are obtained. 本文对文[2]中的含两个卷积核的对偶型奇异积分方程给出了向量形式求解方法,并且给出了一般解的显式及相应的可解条件。
The Mueller matrix solution of vector radiative transfer for inhomogeneous random media of non spherical scatterers under a pulse incidence is presented. Co polarized and cross polarized bistatic scattering echoes can be numerically simulated. 给出非均匀分层、各层各异非球形粒子随机介质在脉冲波入射下矢量辐射传输方程(VRT)的Mueller矩阵解,数值模拟了极化后向散射。
In this paper, we establish the Fritz John and Kuhn-Tacker type necessary condition and sufficient condition for cone weak efficient solution of vector optimization of set-valued funtions in locally convex topological vector spaces. 本文在局部凸拓扑向量空间中对集值函数向量优化的锥弱有效解给出了FRITZJOHN型和Kuhn-Tacker型必要条件,同时还给出了它的充分条件。
Equivalence between proper efficient solution of vector extreme value problem and optimal solution of scalar extreme value problem; 向量极值问题的真有效解与标量极值问题的最优解的等价性;
Finally, in linear space, the concepts of vector Fritz-John saddle point and vector Kuhn-Tucker saddle point are defined, the relations among them and weak efficient solution of vector extremum problems with generalized inequality constraint are discussed. 最后,在线性空间中,定义了向量Fritz-John鞍点和向量Kuhn-Tucker鞍点,讨论了它们与带广义不等式约束的向量极值问题的弱有效解之间的关系;
This algorithm firstly chooses random proportional positions from the initial solution vector from a seeding k-means algorithm, then randomly mutates the corresponding clustering labels and optimizes it iteratively. 该算法从k-means算法(随机k-means算法)所产生的初始解向量中随机选取一定比例的位置,对其中的类标号进行随机变异并优化;再通过多次迭代获得了相应的优化解。
In this paper, we define the generalized efficient solution and prove the existence of the generalized efficient solution for nondifferentiable vector optimization problems by using set-valued mapping vector quasi-variational inequalities. 文中定义了广义有效解,并利用集值映射向量似变分不等式证明了不可微向量优化问题的广义有效解的存在性。
Comparison of solution in vector mechanics and analytical mechanics 矢量力学与分析力学的解法比较
Different from the traditional DDM algorithm, the excitation vector at the right hand of the FEM equations of each sub-domain is decomposed as a set of standard orthogonal basis, and corresponding solution vector of each basis is found. 通过对各子域内有限元方程组右端列向量进行基函数展开,并求得各基函数相应的解向量,从而求得各子域内的解空间。
Analytical solution to vector of formed punch pressed into semifinite medium 冲头压入半无限体的矢量分析解法
The series expansion solution of vector diffraction theory and the validity of scalar approximation 矢量衍射理论的级数解及其标量近似的有效性
The Nature of the Conditions of Unique Solution of Vector Fields and Related Problems 矢量场唯一解条件的本质及相关问题
The sufficient and necessary condition for weak efficient solution of vector optimization of set-valued functions 集值函数向量优化锥弱有效解的最优性条件
It is well-known that it is very difficult to find "solution" of vector optimization problem. 众所周知,寻找向量优化问题解是非常困难的。
Based on high-speed fiber communications systems, first, we research transmission characteristics of chirped soliton pairs. Then, we give the precise bright soliton solution of vector soliton in birefringence fiber model system and find that the soliton solution is stable. 本文以高速光纤通信系统为背景,首先研究了啁啾类孤子对在非均匀光纤放大器的传输特性;其次,求解了双折射光纤系统中矢量亮孤子的精确解。
Based on these main results, a scalarization representation of the solution mapping and a property involving the union of a family of lower semicontinuous set-valued mappings, we also discuss the lower semicontinuity and continuity of the approximate solution mapping for vector equilibrium problems. 基于此结果、标量化技巧和一簇下半连续集值映射的并仍是下半连续的性质,研究了向量平衡问题近似解映射的下半连续性和连续性。
Nowadays, although many chaotic local search algorithms are proposed, these proposed algorithms have the same characteristic, namely, each dimension of the specified solution vector is changed during one search. 目前,研究者们虽然提出了很多形式的混沌局部搜索算法,但是这些算法都有一个共同的特点,即每次混沌搜索时,被指定的搜索解向量的每一维都会改变。
This method provides a good solution for Vector Control. 这种方法为矢量控制提供了一种很好的解决方案。