positive integral

The binomial theorem for positive integral indices.

正整指数之二项式定理.

Non-integral correlation dimensions and positive largest Lyapunov exponents proved that the rising and coalescence of bubbles were deterministic chaos with great complexity, and coalescence extent could be estimated with largest Lyapunov exponent.

关联维数的非整数特征和最大Lyapunov指数均大于0表明气泡上升及聚并过程是确定性的混沌运动，并且具有较高的复杂度，通过最大Lyapunov指数还可以对聚并程度做近似判断。

Three methods-structural volume, binomial formula and definite integral-can be employed to derive the formula for the snm of the K power of positive N term integer. The calculation can be made on the basis of them.

用构造体积、应用二项式定理、利用定积分的三种方法，导出正整数前n项k方和公式，并对此进行推算。

Using Matlab programming to achieve the non uniform B spline curves and surfaces, the positive operator, inverse, derivative vector algorithm, to calculate the integral impeller blades, ruled surface data point and generates the effect chart.

在Matlab编写非均匀B样条曲线的正算、反算、导矢等算法，计算出整体叶轮、直纹面叶片、叶片等距面、叶片缝合面的数据点并生成效果图。

John Duffy, a public health lecturer at Birmingham University, said: Alcohol gets too much of a bad press these days so it is refreshing to read a positive example of how it is an integral part of our culture.

伯明翰大学的大众健康讲师John Duffy说：酒类最近在媒体上臭名昭著，所以在看到这样一篇关于酒类在文化中的积极作用的例子确实让人很振奋。

This Bragg Equation is without limit on crystal size, can be used to describe the angular divergence of minicrystal diffraction, diffraction of thin crystal, and the integral intensity of polycrystal diffraction in positive lattice, etc.

广义布拉格方程不受晶体尺寸限制，可以在正空间中描述微晶体衍射的角发散，薄晶体的衍射，多晶体衍射的积分强度等问题。