摘要: We give a short, mostly elementary and self-contained proof of the classical result that the groups of diffeomorphisms, homeomorphisms, and homotopy equivalences of a surface have the same group of connected components.关键词: Mathematics - General Topology Mathematics - Algebraic Topology 57S...
1.4 Mapping class group dynamics A powerful tool to investigate the holonomy problem is the mapping class group action on the associated character variety. The latter parametrises the set of all representations of the fundamental group of a compact surface into the affine group [Math Processing Erro...
of discrete and profinite groups—a natural generalization of the classical notion of pro- ℓ completion—and show that the pro- ℓ completion of the Torelli group does not inject into the relative pro- ℓ completion of the corresponding mapping class group when the genus is at least 2....
包含特定 MAPI 对象的命名属性的映射签名。 属性值 相关属性: PR_MAPPING_SIGNATURE 标识符: 0x0FF8 数据类型: PT_BINARY 区域: 其他 备注 建议具有命名属性的对象公开此属性。 客户端应用程序在将命名属性从一个对象复制到另一个对象时,应检查这两个对象的PR_MAPPING_SIGNATURE属性。 使用此属性可以最大程度地减...
as an uncertainty measure for unlabeled images, not in the training set.∑i=1kstands for the sum of images’ possible values, given a discrete class membershipYand probabilitypof classi. Only images with entropy (>0.6) were assigned for manual annotation and then later added to the training ...
Diagrams of how each class relates to major reef types (atolls, fringing reefs, platform reefs and barrier reefs e.g. Figure 7), and a Glossary of terms is also provided. Finally, for additional support in creating maps using Reef Cover, the Google Earth Engine code used to produce the ...
Following, we computed diffusion components with the DPT class’ compute_eigen function. The root cell for DPT was identified as an extremum of the most immature cell state within the first experimental time point in diffusion space. Here, we selected the maximum in the first diffusion component...
The group of automorphisms of the set of bent functions The bent functions are the Boolean functions of an even number of variables which are at the maximum possible distance from the set of all affine functions... Tokareva,N N. - 《Discrete Mathematics & Applications》 被引量: 1发表: 201...
(KPZ) universality class [33,72]. In particular, the TASEP interface at timeL, on the horizontaland verticalscales, converges to the Airyprocess, which is the top line of the Airyline ensemble (about the latter see, e.g., [35]). Furthermore, computations with TASEP allow to formulate ...
the hematopoietic stem cell and multipotent progenitor population (HSC/MPP) branches into three major trajectories, representing the lymphoid, myeloid, and megakaryocyte-erythroid-mast (MEM) lineages. This reference contains two forms of annotation for downstream query inference: discrete cell types and ...