Criterion for existence of a continuous invariant cross section of an affine extension

1990 ◽  
Vol 42 (8) ◽  
pp. 1022-1026
Author(s):  
I. U. Bronshtein ◽  
V. F. Chernii
1975 ◽  
Vol 11 (11) ◽  
pp. 3124-3133 ◽  
Author(s):  
J. Whitmore ◽  
S. J. Barish ◽  
D. C. Colley ◽  
P. F. Schultz

1985 ◽  
Vol 150 (4) ◽  
pp. 322-326 ◽  
Author(s):  
L.R. Cormell ◽  
M.W. Arenton ◽  
H.F. Chen ◽  
M. Corcoran ◽  
W.R. Ditzler ◽  
...  

2011 ◽  
Vol 331 ◽  
pp. 152-155
Author(s):  
Lian He Yang ◽  
Ya Juan Yu ◽  
Wei Xin Liu

The cross-section of yarn in plain woven fabric has always been viewed as an invariable shape by academe. However, with visualization technology, problems in the classical model are exposed based on traditional convex model, and when solving the problems with calculus, the rule of yarn cross-section deformation is found. The results show the diversity of yarn cross-section shape in both one-layer and multi-layer woven fabric, instead of unitarity, especially for warps weaving multi-layer wefts, whose convex cross-section alternates with concave one periodically in length. The results take exception to “invariant cross-section assumption” and have theoretical value and guidance for the real shape of yarns and the simulation of fabric appearance.


1987 ◽  
Vol 294 ◽  
pp. 1022-1036 ◽  
Author(s):  
K.S. Nelson ◽  
M. Arenton ◽  
H. Chen ◽  
M. Corcoran ◽  
L. Cormell ◽  
...  

1988 ◽  
Vol 102 ◽  
pp. 71-73
Author(s):  
E. Jannitti ◽  
P. Nicolosi ◽  
G. Tondello

AbstractThe photoabsorption spectra of the carbon ions have been obtained by using two laser-produced plasmas. The photoionization cross-section of the CV has been absolutely measured and the value at threshold, σ=(4.7±0.5) × 10−19cm2, as well as its behaviour at higher energies agrees quite well with the theoretical calculations.


Author(s):  
J. Langmore ◽  
M. Isaacson ◽  
J. Wall ◽  
A. V. Crewe

High resolution dark field microscopy is becoming an important tool for the investigation of unstained and specifically stained biological molecules. Of primary consideration to the microscopist is the interpretation of image Intensities and the effects of radiation damage to the specimen. Ignoring inelastic scattering, the image intensity is directly related to the collected elastic scattering cross section, σɳ, which is the product of the total elastic cross section, σ and the eficiency of the microscope system at imaging these electrons, η. The number of potentially bond damaging events resulting from the beam exposure required to reduce the effect of quantum noise in the image to a given level is proportional to 1/η. We wish to compare η in three dark field systems.


Author(s):  
V. Mizuhira ◽  
Y. Futaesaku

Previously we reported that tannic acid is a very effective fixative for proteins including polypeptides. Especially, in the cross section of microtubules, thirteen submits in A-tubule and eleven in B-tubule could be observed very clearly. An elastic fiber could be demonstrated very clearly, as an electron opaque, homogeneous fiber. However, tannic acid did not penetrate into the deep portion of the tissue-block. So we tried Catechin. This shows almost the same chemical natures as that of proteins, as tannic acid. Moreover, we thought that catechin should have two active-reaction sites, one is phenol,and the other is catechole. Catechole site should react with osmium, to make Os- black. Phenol-site should react with peroxidase existing perhydroxide.


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