自形的

Major conclutions from this study can be summarized as following:1. On mineralogy, rutiles, apatites, epidotes and vein minerals from UHPM rocks were firstly and systematically studied, by detailed petrography and mineral-chemistry investigation, some mineral or mineral assemblage with special composions or texture were firstly found in UHPM rocks from Sulu-Dabie, for example, corrudum, magnesite, high-Ti biotite and garnet were found as inclusions in rutiles from eclogites, Nb-Fe rutile and zoned Si-Y apatite were found in gneiss, epidote / allanite with euhedral zones like magmatic genesis were found in elogites and gneiss, a lot of minerals with high REE, HFSE, LILE and volatiles were found in veins of gneiss.

在矿物学方面，首次较为系统地研究了超高压变质岩中的金红石、磷灰石、绿帘石等副矿物，并通过详细的岩相学和矿物化学研究，首次在苏鲁-大别超高压变质岩中发现了一些具有特殊成分/结构的矿物或矿物组合，如在榴辉岩金红石中发现了刚玉、菱镁矿、高钛黑云母和石榴石矿物包裹体，在片麻岩中发现了Nb-Fe金红石和具有自形环带结构的高Si-Y磷灰石，在榴辉岩和片麻岩中发现了具有类似岩浆成因的自形生长环带结构的绿帘石/褐帘石，在片麻岩的脉体中发现了大量富含稀土元素REE、高场强元素HFSE(Nb、Ta、Zr、Ti)、大离子亲石元素LILE(K、Th、U、Sr、Ba)，以及挥发性组份(CO_2、F、P、S)的特殊矿物，丰富并提升了超高压变质岩的矿物学研究。2。

By discussing the position hypothesis of fractional-dimension derivative about general function and the formula form the hypothesis of fractional-dimension derivative about power function, the concrete equation formulas of fractional-dimension derivative, differential and integral are described distinctly further, and the difference between the fractional-dimension derivative and the fractional-order derivative are given too. Subsequently, the concrete forms of measure calculation equations of self-similar fractal obtaining by based on the definition of form in fractional-dimension calculus about general fractal measure are discussed again, and the differences with Hausdorff measure method or the covering method at present are given. By applying the measure calculation equations, the measure of self-similar fractals which include middle-third Cantor set, Koch curve, Sierpinski gasket and orthogonal cross star are calculated and analyzed.

通过讨论一般函数的分维导数的位置假设及幂函数的分维导数的形式假设，进一步明晰了幂函数的分维导数、分维微分及分维积分的具体方程形式，给出分维导数与分数阶导数的区别，随后讨论了基于一般分形测度的分维微积分形式定义导出的自相似分形的测度计算方程具体形式，给出了其与目前 Hausdorff 测度方法的区别，并对包括三分 Cantor 集合、 Koch 曲线、 Sierpinski 垫片及正交十字星形等自相似分形在内的测度进行了计算分析。

Garnet is obviously flatted and stretched, which is very different with that of cold eclogite in Hua Liangting in Taihu county.

石榴子石明显压扁拉长，和高压榴辉岩中等轴自形的石榴子石明显不同。

By the integration of wavelet transforms and fractal coding and by use of self-similarities, the image compression coding based on wavelet transforms and fractal coding is proposed with the iterated function system.

对小波变换、分形压缩编码的原理和特点进行了分析；结合小波变换和分形压缩编码，利用分形的自相似，研究了基於小波域的分形图像压缩方法。

By this algorithm the search was performed from a certain initial point by use of iterated function system and attractor of inner interval.

接着利用分形的自相似性与标度不变性将内区间的分形特性进行延拓，并由此构造了具有外推功能的分形插值算法，实现交通事故预测。

Fractal dimension structure of the Cosmos are explored, and the mathematical foundation, which include the expressions of fractal dimension differential and calculus, regular space integral solutions of fractal dimension differential equations, the fractal calculus definitions of fractal measure as well as the measure computational equation of self-similar fractal, of fractal dimension calculus and fractal measure are given.

摘 要：探讨了宇宙分维构造的形式，给出了分维微积分及分形测度的数学基础，包括分维导数及分维微积分的表述形式、分维微分方程的规整空间积分解、分形测度的分维微积分定义及自相似分形的测度计算方程。

Little quantity of sulphur occur in forms of enclave and anhedraal,subhedral,euhedral crystal. The crystal size ranges from0.01mm to1. 00mm and little of size around 1μm.

少量呈包体形式产出，它形～半自形～自形晶，粒径在0.01mm～1mm间，极少量的在1μm这些硫化物中的硫，含量略低于其相应矿物的硫的含量。

Therefore, the stone consist of idiomorphism and half idiomorphism mineral, the erode speed is slower.

因此，由自形、半自形的矿物组成的石材，腐蚀速度一般较慢；他形成矿物组成的石材，腐蚀速度较快；颗粒的大小对于腐蚀速度的影响主要表现为粒度越粗，颗粒的总表面积越小。

The results show that the microstructure of the cladding wire by drawing at room temperature is vimineous grain as fibril shape from prime equiaxed grain. The fibril diameter is in inverse proportion to deformation and the fibril length is in direct proportion to the square of deformation approximately. The ultimate tensile strength of the cladding wire by drawing at room temperature goes up in direct proportion to square root of deformation, whereas the elongation decreases and fluctuates.

结果表明：显微组织自原始的等轴晶变为细长条纤维状，纤维直径与形变量近似地成反比，纤维长度与形变量的平方近似地成正比；经室温拉变形的铜包铝线的极限抗拉强度随形变量增大而增大，与形变量平方根呈直线关系；延伸率随形变量增大逐渐降低，但延伸率波动较大。

From this conclusion, the correlation and power spectrum of random SSM doesn′t possess the complex fractal structure.

给出了无穷尺度的确定性自相似关系的唯一解，这个解不具有复杂性，从而可导出结论：具有逆幂律特性的平稳随机分形的自相关和功率谱不可能具有通常所理解的复杂分形结构。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。