查询词典 inequalities

Hilbet-type inequality is important in analysis and its applications. In recent years, by improving the way of weight coefficient, some research on the extensions and applications of this type of inequalities are developed. In this paper, we give a Hilbert infinite series inequality with the best constant factor whose kernel is a negative quadratic form by applying the method of weight coefficients. And an equivalent form is considered.

Hilbert型不等式在分析中有重要作用，近年来，由于改进权系数的方法，发展了这类不等式，并进一步推广应用和研究，应用权系数方法给出的一个带有最佳常数的核为负二次型齐次的Hibert型无穷级数不等式，同时考虑了它的等价形式。

By introducing a weight function, a best extension of Hilbert integral inequlity and the reverse form are given. The constant factor of the two inequalities is proved to be the best.

引入单参数及估算权函数，给出一个核为－λ齐次的新的Hilbert型积分不等式及与之对应的逆向积分不等式，并证明这两个不等式的常数因子是最佳的。

In Chapter 6, we study a kind of system of nonlinear variational inequalities and its related auxiliary problems in real Hilbert space.

针对一类非线性变分不等式系统，我们研究了其相关辅助问题，建立了辅助问题解的存在性定理。

Throughout her life, Chiang Ching was the implacable opponent of all injustices and inequalities of the old society.

她的整个生命，是一切不公正和不平等的旧社会不共戴天的敌人。

While poverty and inequalities are probably largely imputable to conflicts, high poverty incidence also creates the conditions for poor governance and higher probabilities for conflicts and man-made disasters.

在很大程度上，冲突是贫困和不均的主要根源，同时贫困也反过来为低水平的管理、高发的冲突和人为灾患创造了条件。

There are many inequalities in the law.

法律上有许多不平等的地方。

It wasn't his job to set right the inequalities of the world.

不过他的工作不是来改变这个世界的不平等状况。

I'm more aware of the inequalities in my society, and they are unacceptable.

我更加关注发生在我社会里的不平等事件，因为那是不能接受的。

They were also most likely to say that it is the responsibility of government to reduce inequalities in society.

他们也最有可能回答减少社会不公平是政府的责任。

The sufficient condition of the system stability is given in terms of linear matrix inequalities.

系统稳定性的充分条件以LMI的形式给出。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。