被积函数

By use of symmetry of integral domain to coordinate surface, coordinate axis and coordinate origin, some useful formula to compute the integral are constructed, which are illustrated very useful and effective.

通过对积分区域的对称性和被积函数的奇偶性的讨论，从积分区域关于坐标平面、坐标轴和坐标原点对称出发，建立了简化各类积分计算的常见公式，并用例于展示了公式的有效性。

When the second surface integral is calculated and the integral surface has some coordinate plane symmetry, computation can be simplified according to the integral odevity.

在计算第二型曲面积分时，当积分曲面关于某个坐标面对称时，则可根据被积函数的奇偶性进行化简。

The maximum principle of the optimal control for the stochastic systems described by Zakaj stochastic partial sifferential equationis proved by approximately minimum point theorem of E. Ekeland. The convexity and compactness of the set of control values is not assumed, and it is not necessary for the maximum principle about differentiability in control variables included in drift term of the stoch astic system and the integrand in index functional, and costate process satisfies the stochastic partial ...

在不假便定控制变量取值的集合是凸的和紧的，不要求随机系统的漂移项和指标泛函的被积函数关于控制变量具有可微性的情况下，用E，Ekeland的近似极小点定理证明了Zakai随机偏微分方程描述的随机系统的最优控制的最大值原理，和用很简洁的方法证明了协态过程满足一个随机偏微分方程。

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。

The conduct of the content of definite integral application by usual mathematics analysis teaching materials is not strict enough in theory.

定积分是计算闭区间上非均匀分布量的一个重要方法，而在用定积分计算某量时，被积函数往往不是现成的，需要我们先"找"出来。

The paper introduces the method of calculating double integral with symmetry,and then puts forward a calculating method by rebuilding integrand and domain of integration reasonably.

本文还介绍了如何利用对称性来计算二重积分，并提出了通过适当改造被积函数和积分区域以利用对称性来简化计算的方法。

Property 2 The constant factor in the integrand function can be taken out of the double integral, that is ,if k is a constant.

性质 2 被积函数前面的常数因子可以提到积分号前面，即，若k为常数。

Two kinds of electron transition processes which lead transition metal complexes to show their colours were discussed.

讨论了导致过渡金属配合物显色的二种电子跃迁过程，只有当电偶极跃迁矩积分的被积函数的对称性允许时，才有可能产生颜色；分裂能的差别，导致跃迁能的不同，因而呈现出不同的视色。

The result is compared with the result of Green's function method.

并在此基础上利用能谱表达式中被积函数的

Based on the quality of linear operation about indefinite integral, the article puts forward an indefinite integral principle of making linear combination and reducing power of integrand.

从不定积分的线性运算性质出发，给出了计算不定积分的被积函数线性组合化、降幂的积分原则，并结合实例分析了这一原则在不定积分计算中的指导作用

No clear conclusions can be made about the predictie alidity of specific measures, they found, except for criteria for the underuse of drugs for cardioascular disease.

除了心血管病不合理用药标准外，对于特定评价方法的预测效度没有明确的结论。

The third and last is that almost all of them, being infinite in number, have been impostures, and by idle and crafty brains merely contrived and feigned after the event past.

第三、即最后一点是：几乎所有这些不胜枚举的预言都是欺人之谈，都是在事件过后由无聊而狡猾的脑筋推测与凭空捏造的。