Mixed, componentwise condition numbers and small sample statistical condition estimation of Sylvester equations

2011 ◽  
Vol 19 (4) ◽  
pp. 639-654 ◽  
Author(s):  
Huaian Diao ◽  
Hua Xiang ◽  
Yimin Wei
2020 ◽  
Vol 103 ◽  
pp. 106172 ◽  
Author(s):  
Liping Zhang ◽  
Eric King-Wah Chu ◽  
Hung-Yuan Fan ◽  
Yimin Wei

Author(s):  
Conly L. Rieder ◽  
S. Bowser ◽  
R. Nowogrodzki ◽  
K. Ross ◽  
G. Sluder

Eggs have long been a favorite material for studying the mechanism of karyokinesis in-vivo and in-vitro. They can be obtained in great numbers and, when fertilized, divide synchronously over many cell cycles. However, they are not considered to be a practical system for ultrastructural studies on the mitotic apparatus (MA) for several reasons, the most obvious of which is that sectioning them is a formidable task: over 1000 ultra-thin sections need to be cut from a single 80-100 μm diameter egg and of these sections only a small percentage will contain the area or structure of interest. Thus it is difficult and time consuming to obtain reliable ultrastructural data concerning the MA of eggs; and when it is obtained it is necessarily based on a small sample size.We have recently developed a procedure which will facilitate many studies concerned with the ultrastructure of the MA in eggs. It is based on the availability of biological HVEM's and on the observation that 0.25 μm thick serial sections can be screened at high resolution for content (after mounting on slot grids and staining with uranyl and lead) by phase contrast light microscopy (LM; Figs 1-2).


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