查询词典 kernel of integral operator

Also note that the notation for the definite integral is very similar to the notation for an indefinite integral.

应该注意到定积分的符号和不定积分的十分相似，其中的原因到最后会显而易见。

Optimal calculation of definite integral can be obtained by combination of the odevity of function and the symmetry of integral domain.

定积分的计算是高等数学的重要内容之一，但在积分计算时可以结合积分区域的对称性和被积函数的奇偶性来简化计算。

In this paper, reciprocation, frequently used in indefinite integral calculation, was applied in definite and broad integral calculation.

将不定积分计算中经常使用的例代换，应用于计算多余定积分与广义积分，在某些情况下，使计算大为简化。

A definite integral is an in definite integral evaluated over an interval.

定积分是区间上的不定积分值。

Riemann integral can not be used in every limited function to get its definite integral.

因此，并不是每一个牛顿不定积分都可进行黎曼积分，并不是每个黎曼积分都存在牛顿不定积分，黎曼积分也并不能对每一个有界函数求定积分。

To simplify the convenient method of the translation of double intergral and based the translation of definite integral and relevant knowledge of double integral , a simple and convenient method is introduced.

为简化二重积分换元公式的推导，利用定积分的换元法及二重积分的有关知识，提出了一种简便的推导方法

A definite integral is an indefinite integral evaluated over an interval.

定积分是区间上的不定积分值。

Firstly, illustrate the fundamentals (differential-integral optimizing theory) of the category of algorithms briefly in the sight of differential and integral calculus. Then two examples of the category of algorithms are listed.

首先从函数逼近的角度论述了数值积分与全局最优化的关系，随后从微积分的基本原理和定积分的定义出发对该类算法的几何意义和数学基础作了简要论述；在此基础上给出了该类算法的几个具体实现。

Apply the thought of differential and integral calculus to the problem of global optimization, imitate the algorithm of digital approximation of definite integral and construct a category of algorithms that can solve global optimization with great brevity and utility.

把微积分的基本思想应用到最优化问题中，仿照定积分的数值逼近算法构造出一类简洁实用的全局优化算法-积分选择算法。

Reduce the computing complexity of magnetic field integral equation with differential quotient, which makes the computing which combined field integral equation more efficiently.

在AIM算法的实现技术方面作了两个改进：一是采用了新的多极子展开方案，保证了迭代的数值稳定性；二是在差商逼近偏导数的过程中全部采用二阶形式，保证了差商逼近偏导数的精度。

The role of the environment is very important.

的作用，环境是非常重要的。

At that time, the High Court of England and Wales Court of Queen's Bench president of William Murray, Lord Mansfield in June 22, 1772 ruling:"No matter then there is the inconvenience, but there must be a decision, I can not say that this case under the law in England are permitted or authorized; are so black should be released."

当时的英格兰及威尔士高等法院王座法庭院长William Murray， Lord Mansfield于1772年6月22日宣判：「无论有那麽不便，但总要有个决定，我不能说这件案在英格兰法律之下是准许或认可；所以黑人是应该被释放。