查询词典 conjugate complex

Every connected, compact Lie groups G contains a maximal torus T. This maximal torus is unique up to conjugation, and every element of G is conjugate to the element of the maximal torus.

每个连通紧李群具有极大环面子群，任二极大环面子群彼此共轭，且连通紧李群中每个元素共轭于极大环面的一个元素。

By introducing two pairs of conjugate exponent parameters and, and using the improved Euler-Maclaurin＇s summation formula for estimating the weight coefficient, a reverse Hilbert-type inequality with a best constant factor is proved.

本文通过引入两对共轭指数参量与及应用改进的Euler-Maclaurin求和公式以估算权系数，证明了一个具有最佳常数因子的逆向Hilbert型不等式；作为应用，还给出了相应的等价式及一些特殊结果。

The content of our curriculum are:Optimization under unconstrained conditions and constrained conditions,we'll focus on common methods of this field like Conjugate gradient method,DFP,POWELL method,The multiplier method,Penalty Function Method and so on.

主要讲授内容为无约束条件及有约束条件下的优化设计，重点介绍了共轭梯度法，变尺度法，POWELL法，乘子法，惩罚函数法等电路优化的常用方法。

Theoretic simulations are made and compared with the classical conjugate gradient method. Field data applications are performed. It reveals that the proposed algorithm has the advantages of high precision, robustness, fast calculation and practicability.

通过理论模型试算和实际资料处理，并与共轭梯度法进行对比，表明该算法具有精度高、抗病态能力强，运算速度快的优点，具有实用性。

With the modified method, the focal field of WSRT telescope was computed. Based on the result, the dense focal plane array was designed for the telescope. The weights of focal plane array were given by the conjugate field method and the far fields of WSRT were computed.

采用改进的算法计算了WSRT望远镜的焦面场，并根据计算结果设计了WSRT望远镜的致密焦面阵结构；用共轭匹配法对阵列单元加权、计算相应的远场方向图，并与采用单个馈源时的远场方向图作比较。

If the method is applied to a convex quadratic function, conjugate directions are chosen with the goal of accelerating convergence.

直接目标是保证该方法应用于凸二次函数，选择共厄方向来加速收敛。

The decreasing conditions of an energy function are investigated by the use of convex function. By utilization of the primal convex function, the conditions are analyzed under which its conjugate function minus a quadratic function is also convex.

利用凸函数的定义研究了能量函数下降的条件，根据凸函数的性质分析它的共轭函数减去二次函数之差仍为凸函数的条件。

In this paper, based on the conjugate function and the dual programming of convex programming, with the dual cone, to conic programming, the dual programming is fully discussed, the expression of the dual programming is educed, the main dualities are proved, and the dualities of the familiar conic programming are studied.

以共轭函数和凸规划的对偶规划为基础，利用对偶锥的概念，全面讨论了一般锥规划的对偶问题，严格推导出锥规划对偶规划的表示形式，给出了锥规划的主要对偶性质，并用这些结果研究了常见锥规划的对偶性。

The test results showed that the amount of this kind of function material to conjugate proteins were larger than 1.5ig/mm2and its one time adsorption rate was larger than 80% and can satisfy the requirements for solid-phase radioimmunoassay. Test results showed that this polymer-NHS-ester can connect with proteins through covalent bounds under mild conditions This technical method will supply a type of new material for solid-phase radioimmunoassay.

实验证实，这类聚合物NHS酯可在温和条件下与蛋白反应，使蛋白以共价键结合方式固定在聚合物上，这种功能材料对蛋白的结合量大于1.5μ／mm~2，对蛋白的一次吸附率大于80％，能满足固相放免分析的要求，将为固相放免分析提供一种新材料。

Parametric evaluation function can condense the complicated multi-objective and multi-constrait problem into a single-objective unconstrained problem, then solved with conjugate gradient method.The parametric evaluation function method decreases the optimization difficulty,and makes the solution away from the boundary of feasible region during the optimization process,which makes all the objectives optimized simultaneously.

参数评价函数把复杂的多目标多约束优化问题转化为单目标无约束问题，然后用共轭梯度法进行求解，不但降低了求解难度，而且使得在优化过程中其解远离可行域的边界，保证了对多目标中所有目标同时进行优化。

More direct, directer ; most direct, directest

径直的，笔直的

Do you know how to use a chain saw?

你知道如何使用链锯吗？