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This paper obtains some equivalent characterizations of perfect strong screenable spaces under the condition T 1 normal By using the one of them an equivalent proposition on the countable product is proved .

在正规T1的条件下得到了完全强可遮空间的一些等价刻画,并且利用获得的刻画证明了这类空间的一个可数乘积定理。

Investment share ; market share ; portfolio ; random dynamical system ; multiplicative ergodic theorem

投资份额;市场份额;资产组合;随机动力系统;乘积遍历理论

Under the locally uniform τ-Opial condition, using product topological net, a new convergence condition of X with locally uniform τ-Opial condition is obtained, and give the ergodic theorem and τ-convergence theorem of the almost-orbits for asympotically nonexpansive typesemigroups in Banach space X are given.

首先给出了局部一致τ-Opial条件的概念,运用乘积拓扑网技巧得到了具有局部一致τ-Opial条件下空间X的新的收敛条件。

By the procedure, we first use the cosine values of the angle between view vector and normal vector on each vertex as the texture coordinates, through calculation of the dot product of the two vectors. The derivative of radial curvature on the model surface is used as the second pass texture mapping coordinates, by a calculation using Euler formula.

该方法首先通过模型顶点的视线向量和法线向量的点乘积计算其夹角的余弦值,作为第一步的纹理坐标进行映射;再通过欧拉公式计算径向曲率及其方向导数值,作为第二步映射的纹理坐标。

For each decision alternative, calculate the weighted average of its payoff by multiplying each payoff by the prior probability and summing these products. This is the expected payoff.

对于每一种被择方案,将每一个收益乘以相应自然状态的先验概率,再把乘积相加就得到收益的加权平均,这就是被择方案的期望收益

The algorithm RSA is complicated and difficult in implementing, because it has to do modular exponentiation on largenumbers more than 512 bits.

分析了RSA算法的软件实现难点为大数的幂模运算,提出了将大数的幂模运算转换为小数幂模运算乘积的高效方法,并实现了RSA算法,该方法在理论分析和试验方面都具有较好的效果。

Another instance of interest in structural analysis is the equivalence of internal and external work products.

在结构分析中另一个有趣的例子是内外乘积功相等。

The factorial of a number n is the product of the numbers from 1 to n.

数 n 阶乘是从 1 到 n 的乘积

The factorial of a number is defined as the product of all values from one to that number.

阶乘。 一个数的阶乘被定义为从 1 到该数字所有数字的乘积

For example, basic tools from calculus such as Fermat theorem, Rolle theorem and the intermediate value theorem may not necessarily hold and fundamental concepts such as chain and product rules and certain smoothness properties all need to be modified.

例如,微积分中的基本工具诸如Fermat定理、Rolle定理以及介值定理不再成立,一些基本的概念诸如链式法则、乘积公式以及某些光滑性都需要做适当的修正。

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