查询词典 trivial

Choosing time delay as the control parameter, the stability of trivial equilibrium is discussed by analyzing distribution of the roots of the associated characteristic equation. It is found that Hopf bifurcation occurs from trivial equilibrium when the delay passes through critical values, then the critical values and their relations with system control parameters are obtained.

以时滞量为参数，通过分析对应线性系统特征方程的根的分布，讨论了平凡解的稳定性，得到了平凡解发生Hopf分岔而失稳的临界时滞量以及临界时滞量与系统控制参数的关系。

By analyzing the distribution of the zeros to the transcendental characteristic equation associated with the trivial.solution,we obtain some- sufficient conditions on the stability and instability of the trivial solution.These results are generalized to n-unit neural networks by means of space decomposition in this Chapter.

在第二章中，我们讨论了不带自反馈与带自反馈的3元环状神经网络系统平凡解所对应超越特征方程的根的分布情况，确定了系统平凡解稳定与不稳定的充分条件，并利用空间分解的方法把相应的结果推广到n元环状神经网络系统。

The sufficient conditions for the existence of the local bifurcations of two semi-trivial solutions (θr,0) and(0,θd) are proved,and stability of the local bifurcate solution from semi-trivial solution(θr,0) is obtained.

利用局部分歧理论及线性稳定理论，证明了两个半平凡解(rθ，0)和(0，θd)局部分歧解存在的充分条件，并且证明了半平凡解(rθ，0)产生的局部分歧解是无条件稳定的。

Further some equivalent conditions for a trivial algebra are given, and that the mapping which maps the subset of the universal to the maximal congruence that saturates the subset being a -homomorphism, being order preserving, being constant mapping, the algebra being trivial are equivalent is proved.

最后利用该同余给出了关于平凡代数的几个等价条件，证明了泛代数的子集到渗透该集的最大同余的映射为保序映射、该映射为-同态、该泛代数平凡等是等价的。

If these trivial trivial matter to the end of their lives , Such a person can only be a desecration of the lives of the weak.

倘若为了这些微不足道的小事就结束了自己的生命，这样的人只能是亵渎生命的弱者。

The boundedness of system is proved by the comparative theme of impulsive differential equation, and the local stability of trivial or semi-trivial positive periodic solution (prey annihilation periodic solution) is tested.

利用脉冲微分方程的比较定理，证明了系统的有界性，讨论了平凡周期解与半平凡周期解的局部稳定性，进而利用重合度理论证明了系统周期正解的存在性。

Elaborates two methods for computing the trivial solution to the congruence in determinate polynomial time, argues non-trivial solutions to the congruence can not be obtained cyclically from the trivial solution, infers and demonstrates the two new methods for seeking the trivial solution.

描述了在确定多项式时间内计算平凡解的两个方法，论述了非平凡解不能从平凡解循环得到，推导和证明了两个新的寻找平凡解的方法。

The history of trivial begins with the Latin word trivium, formed from the prefix tri-,"consisting of three of the things named," and via, road.

trivial 的历史从拉丁词 trivium 开始，由前缀tri-意思是"由三个给定的东西组成的"和 via "道路"构成。

Something unsubstantial or trivial .She filled her days with trivial tasks.

她让一些琐细的事务占据了自己的全部时间。

No Ⅲ° atrioventricular conduction block happened, 9 patients developed right bundle branch block, and 2 patients showed junctional rhythm. Two patients with perimembranous extending outlet were repaired because of residual shunt(0.4cm,0.3cm) on the anterosuperior rim of defect. One patient with trivial residual shunt(0.15cm) on the posteroinferior rim of defect was found closed spontaneously six months later. Tricuspid valve was incised in 10 patients of VSD sextending outlet,8 patients vertical to the valve ring,2 patients parallel to the valve ring. Moderate tricuspid valve regurgitation was found in 1 patient, mild in 5 patients, trivial in 4 patients. No one aggravated. One patient complicated with pericardial effusion.

无Ⅲ°房室传导阻滞发生，9例发生右束支传导阻滞，2例结性心律。2例膜周偏流出道型VSD患者因前上缘残余分流分别为0.4cm和0.3cm，再次手术修补；1例后下缘残留细束样分流，直径0.15cm，随访6个月后自愈；10例膜周偏流出道型VSD患者剪开三尖瓣，8例垂直瓣环，2例平行瓣环；1例三尖瓣中度反流，随访无加重；5例轻度反流，4例轻微反流，随访均无加重；1例心包积液；1例再次进入手术室止血。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷