文摘：将分形理论应用于混凝土损伤断裂，讨论了损伤断裂面的维数公式并进行了实际计算。
Abstract: in this paper, fractal theory is applied in the loss faulting of concrete. The dimension formula of loss faulting volume is probed and calculated.
一个支持向量机的支持向量数相关的VC维是怎样的？有一个公式，关于这两个量？
How is the VC dimension of a support-vector machine related to its number of support vectors? Is there a formula relating these two quantities?
介绍了分形理论及其特点、分形维数的计算公式与它的物理意义。
Fractional theory and its characteristics were introduced, so were the computational formula of Fractal dimension and its physical significance.
基于分形理论构建了颗粒填充高分子复合材料拉伸断口的分形模型，进而提出了分形维数计算公式。
A tensile facture fractal model of grain filled polymer composites on the base of the fractal theory was established, and an equitation of the tensile fracture fractal dimension was proposed.
本文刻划了PS-环与非奇异环的差距，给出了一个计算同调维数的公式。
Abstract In this paper, we investigate the difference between PS-ring and nonsingular ring, and obtain a formula of the homological dimensions.
本文刻划了PS-环与非奇异环的差距，给出了一个计算同调维数的公式。
Abstract In this paper, we investigate the difference between PS-ring and nonsingular ring, and obtain a formula of the homological dimensions.
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