What is the translation of " 对初始条件 " in English?

• on initial conditions

Examples of using 对初始条件 in Chinese and their translations into English

F对初始条件具有敏感依赖性。
(iii) F has sensitive dependence on initial conditions in V.

这种现象被称为对初始条件的敏感依赖性。
This is known as sensitive dependence on initial conditions.

这种现象被称为对初始条件的敏感依赖性。
This is called sensitive dependence on initial conditions.

可以说，对初始条件的敏感依赖性是混沌理论的核心。
The sensitive dependence on initial conditions is the essence of chaos.

C）f具有对初始条件的敏感依赖性。
F has sensitive dependence on initial conditions.

对初始条件的连续依赖性.
Dependence on Initial Conditions.

F对初始条件具有敏感依赖性。
F has sensitive dependence on initial conditions.

C）f具有对初始条件的敏感依赖性。
F has sensitive dependence on initial conditions in V.

它是指对初始条件敏感性的一种依赖现象。
This means that it is sensitively dependent on initial conditions.

对初始条件极度敏感”的系统。
Dynamical systems that are highly sensitive to initial conditions,”.

它是指对初始条件敏感性的一种依赖现象。
It is sensitive dependence to initial conditions.

对初始条件极为敏感是混沌运动的基本特点。
The extreme sensitivity to initial conditions is a fundamental characteristic of a chaotic system.

混沌就是对初始条件有高度灵敏度。
Chaotic means extreme sensitivity to initial conditions.

即对初始条件的敏感依赖性。
It is sensitive dependence to initial conditions.

混沌就是对初始条件有高度灵敏度。
Chaos refers to extreme sensitivity to initial conditions.

一个动力系统对初始条件的敏感依赖性，如果显示点任意接近单独以惊人的速度随着时间的推移。
System displays sensitive dependence on initial conditions if points arbitrarily close together separate over time at an exponential rate.

世纪下半叶，这种“对初始条件敏感的依赖性”成为“混沌理论”的基础概念之一。
In the second half of the 20th Century, this‘sensitive dependence on initial conditions' would become one of the fundamental concepts of‘chaos theory'.

这就是俗称的蝴蝶效应，即“对初始条件的敏感依赖性”。
The butterfly effect is described as“the sensitive dependence on initial conditions.”.

更为科学的说法是，这个系统显示了“对初始条件敏感的依赖”。
The more scientific version is the“sensitive dependence on initial conditions.”.

而这，正是混沌的一种经典表现--一个对初始条件具有敏感依赖的系统。
It's a classic illustration of chaos- a system with sensitive dependence on initial conditions.

在这样的系统中，对初始条件的微小变化可导致戏剧性的不同结果。
In such a system, small changes to initial conditions can lead to dramatically different outcomes.

例如，在对复杂系统进行分析时，对初始条件的敏感性并不是一个如此重要的问题。
When analysing complex systems, a sensitivity to initial conditions, for example, is not such an important issue.

我们可以分解他，但是其内部的动力系统还是相同的：其轨迹依旧对初始条件很敏感。
We can deform it, but the internal dynamics remain the same: the trajectories remain sensible to the initial conditions.

根据这个模型，随机性仅仅是对初始条件敏感性的表现。
According to this model, randomness is simply a manifestation of the sensitivity to initial conditions.

对于一切复杂系统下，事物发展的结果，对初始条件具有极为敏感的依赖性。
In very complex systems, outcomes are highly sensitive to initial conditions.

根据当代数学理论的定义，混沌系统就是对“对初始条件极度敏感”的系统。
As per the current mathematical theory a chaotic system is defined as showing"sensitivity to initial conditions".

这样，宇宙的现状是上帝对初始条件选择的结果。
Thus, the present state of the universe, would be the result of God's choice of the initial conditions.

这样的系统会表现出自组织，自发模式形成和对初始条件的敏感依赖性(初始条件非常小的变化可导致非常不同的结果)。
Such systems exhibit self-organisation, spontaneous pattern-formation and sensitive dependence on initial conditions(very small changes to the initial conditions can lead to widely different outcomes).