而是定义域的边界点，现在我们来看看函数的值域。
It is actually here at the boundary of the domain, you know, the range of values that we are going to consider.
定义域、间断点、或与且等问题是初等函数经常遇到的问题。
The problems of definition domain, break point, or and even etc often occur in elementary function.
试验表明当每次转移多个粒子时，系统生成元的定义域在试验函数空间是稠密的，系统的生成元是适定的。
Results indicate that when particles are moving, the domain of generator is dense in the test function space and the generator of the system is well defined.
经典的粒子群优化算法是一个在连续的定义域内搜索数值函数极值的很有效的方法。
The classical Particle swarm optimization (PSO) algorithm is a powerful method to find the minimum of a numerical function, on a continuous definition domain.
一个函数在其定义域上若具有介值性，则其间断点的类型只能是第二类的；
When function has the quality of intermediate value in the defined area, the type of breaking point must be the second kind.
所以，即使在定义域内没有典型的单点能同时最大限度地最小化所有的目标函数，也只有一个解决方案可以选择。
Even though there is typically no single point in decision space that simultaneously minimizes all of the objective functions, only one solution can be chosen.
函数为初等函数的必要条件是函数在定义域内为连续函数。
The necessary condition of a function being an elementary function is that the function is a continuous function in the field of definition.
在一个单一的目标函数的情况下，定义域映射对应的是实数线。
In the case of a single objective function, decision space is mapped to the real line.
对于函数优化这个问题，根据目标函数定义域的性质，可以分为离散函数最优化和连续函数最优化。
For function optimization problems, according to the nature of the objective function domain, can be divided into discrete function optimization and continuous function optimization.
在函数的定义中，关于定义域和值域中的对象，没对其本质做出任何限制。
The function idea spots no restriction on the nature of the objects in the domain X and the range Y.
依据模型的不同定义域，讨论了通过调整质量特性曲线的形状和位置来控制质量损失函数曲线的方法。
We will control the quality failure function curve according to the shift of the quality characteristics curve and the change of the curve's shape, the control method will be discussed.
依据模型的不同定义域，讨论了通过调整质量特性曲线的形状和位置来控制质量损失函数曲线的方法。
We will control the quality failure function curve according to the shift of the quality characteristics curve and the change of the curve's shape, the control method will be discussed.
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