谢谢了，就是自仿射的意思，是分行几何学中的一种类型！
所以n维自仿射（Ⅰ型）随机变量X1，X2，…，Xn相互独立.5.2.2 n维自仿射（self-affine）（Ⅱ型）分布 如果n维随机变量（X1，X2，…，Xn）的联合密度函数 分形混沌与矿产预测 则随机变量（X1，X2，…，Xn）服从n维自仿射（self-affine）（Ⅱ型）分布.其中aj（j=1，2，…，n）称为形状参数，...
Balankin A S,Susarrey O,Bravo A.Self-affine nature of the stress-strain behavior of thin fiber networks.Physical review. E, Statistical, nonlinear, and soft matter physics. 2001Balankin AS, Susarrey O, Urriolagoitia G, Hernandez LH (2002) Self-affine nature of the stress-strain behav- ...
New surfaces generated by tensile fracture are well known to be self-affine, too8,9, and different universal Hurst exponents have been linked to different damage mechanisms9,17. However, the physical origins of these observations are still unclear18. Several theoretical surface growth models have ...
www.nature.com/scientificreports OPEN received: 02 November 2014 accepted: 01 May 2015 Published: 09 June 2015 On the role of scales in contact mechanics and friction between elastomers and randomly rough self-affine surfaces Valentin L. Popov1,2,3, Andrey Dimaki2,3,4, Sergey Ps...
We have observed that during the watering of an initially smooth ridge made of a mixture of granular materials, the surface evolves into a shape analogous to actual mountain profiles with self-affine geometry. For the exponents describing respectively the spatial and the temporal scaling of the ...
KINETIC ROUGHENING SELF-AFFINE SCALING AND KINETIC ROUGHENINGSELF-AFFINE SCALING AND KINETIC ROUGHENINGCompany, Scientific PublishingKrim, JPalasantzas, G
These results are obtained by studying a particular class of self-affine sets associated with multi-tape automata. We first establish the undecidability of some language-theoretical properties of such automata, which then translate into undecidability results about their associated self-affine sets....
3) sub-self-affine set 子自仿射集 1. The Hausdorff dimension ofsub-self-affine sets; 子自仿射集的Hausdorff维数 2. Let S1,S2,…,Sn be contracting affine transformations on R , a compact set Eof R is called sub - self - affine, if In this paper, we consider theHausdorff dimension ofsu...
self-affine setiterated function systemweak separation conditionIt is proven that all totally disconnected self-affine sets satisfying the weak separation condition are uniformly porous.Springer International PublishingResults in MathematicsYong-Shen Caohttps://ror.org/020azk594grid.411503.20000 0000 9271 ...