查询词典 algebraic function

On condition that there exist weak excitations in the two-component BEC, the SO (3, 2) Lie algebraic description still work. The eigenstates and energy-gap equation have been obtained.

对存在弱激发的双分量BEC，SO（3，2）代数方法仍然近似有效，我们由此求得了系统的本征态和弱激发能隙方程。

Finally,through some ideas from Algebraic Geometry,we constructed strongly exceptional collections of derived sheaf categories,and solved the problem that equivalences between some posets.

最后，通过代数几何里的一些思想，我们构造了导出层范畴的强例外集合，解决了一类偏序集的等价问题。

Leibniz also freely invoked mathematical entities he called infinitesimals, manipulating them in ways suggesting that they had paradoxical algebraic properties.

莱布尼茨自由运用他称之为&无穷小&的数学单位，并以各种他们相悖的代数性质进行运算。乔治？

As a consequence of an important theorem of algebraic topology, the invariants constructed by those diversity ways can be considered as identified via their unique isomorphisms. This concludes that the procedure of invariant construction gains a virtue of the model presented in this paper as being unrelated to whether there exists a symbolic represantation of images.

根据代数拓扑的重要定理，这些不同的构造方法所得的不变量在同构意义下是等价的，因此我们推论这种不变量的构造过程与图象是否有符号表示无关。

To obtain the hyperfine structure and A-doubling parameters from the high-resolution spectra of novel free radicals directly, a set of algebraic formulae were developed to analyze the spectra with hyperfine structure and A-doubling resolution, some related important constants of NO have been obtained by analyzing its LMR spectra.

为了对新自由基分子激光磁共振光谱的早期标识提供一些必要的分子参数，我们发展了一组用于分析自由基分子高分辨光谱中的超精细和Λ-双分裂结构的代数方程，通过对NO超高分辨激光磁共振光谱中的超精细和Λ-双分裂结构的分析，获得了该分子的部分超精细结构参数，由此验证了该方法的可靠性，为新自由基分子的光谱标识提供了必要的参数和先导方法。

In an algebra proposed by George Boole about 1850, the variables are permitted to have only two values true or false , usually written as 1 and 0, and the algebraic operations on the variables are limited to those defined as AND, OR, NOT.

George Boole 在1850年提出的代数学中，变量值只有两种：真和假，通常记为1和0，代数运算也仅局限于与、或、非。

Then we use modified nodal analysis to transform the problem into an Ax=b linear algebraic problem where A is a n*n matrix, x and b are n*1 vectors.

然后，利用修饰节点分析方法，我们可以把原始问题转换成一个Ax=b的线性代数问题。在此，A是一个的矩阵，x和b是的向量。

The situation with the machine physics function of every Slave and different configuration, the load that reuse random takes no account of function is balanced, it is very unscientific, the machine that can give machine function difference so brings needless high load, bring the risk of delay machine even, at the same time high-powered database server also cannot develop its physics property adequately.

每个Slave的机器物理性能和配置不一样的情况，再使用随机的不考虑性能的负载均衡，是非常不科学的，这样一来会给机器性能差的机器带来不必要的高负载，甚至带来宕机的危险，同时高性能的数据库服务器也不能充分发挥其物理性能。

The application problems mainly focus on how to solve triangle, acute triangle function, equation, inequation, function and its image, the three-dimensional image of a solid; while such knowledge as, plane geometry, solid geometry, operation of number and equation, trigonometric function equation, permutation and combination, ordered series of numbers sum, probability has no application problems.

4高中物理学习中存在运用困难的数学知识主要有函数及其图像、解三角形、锐角三角函数、方程、不等式、求函数极值、几何体的三视图等，然而，平面几何、立体几何知识、数与式的运算、三角函数公式、排列组合、数列求和、概率等知识基本没有运用困难。

The Frechet derivative of the cost function is determined via the solution of an adjoint partial differential equation, and the boundary shape is then modified in a direction of descent. This process is repeated until an optimum solution is approached. The advantage is that the cost function variation is independent of the flow field variation, with the result that the gradient of cost function with respect to arbitrary number of design variables can be determined without the need for additional flow-field evaluations. So each design cycle requires the numerical solution of both the flow and the adjoint equations leading to a computational cost roughly equal to the cost of two flow solutions.

虽然他们的研究成果大多数都可以在公开性文献上看到，但是其中一些具体的细节问题的处理方法却没有透露，比如：伴随方程如何离散求解才能减小最终梯度计算中的误差，使得设计过程有效地进行；伴随方程与流动方程的边界条件是不同的，如何合理地处理伴随方程的边界条件，才能推动设计过程朝着设计目标而发展；在减阻问题中目标函数如何定义，求解梯度的具体数学公式如何推导，如何通过数值方法来实现它们等。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。