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141.
The class of mappings with bounded specific oscillation,and integrability of mappings with bounded distortion on Carnot groups 总被引:2,自引:2,他引:0
D. V. Isangulova 《Siberian Mathematical Journal》2007,48(2):249-267
This paper is the first of the author’s three articles on stability in the Liouville theorem on the Heisenberg group. The aim is to prove that each mapping with bounded distortion of a John domain on the Heisenberg group is close to a conformal mapping with order of closeness \(\sqrt {K - 1} \) in the uniform norm and order of closeness K ? 1 in the Sobolev norm L p 1 for all \(p < \tfrac{C}{{K - 1}}\).In the present article we study integrability of mappings with bounded specific oscillation on spaces of homogeneous type. As an example, we consider mappings with bounded distortion on the Heisenberg group. We prove that a mapping with bounded distortion belongs to the Sobolev class W p,loc 1 , where p → ∞ as the distortion coefficient tends to 1. 相似文献
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全彩色LED显示屏可以用来显示电视画面。目前没有专门用于LED彩色大屏幕的图像源及其标准,所以都是将送给CRT显像管的图形信号源送到LED彩色大屏幕进行显示。针对把送给CRT的信号送到LED屏进行显示会引起彩色失真这种情况,本文给出LED大屏幕系统的色度公式,为准确控制LED管的发光亮度提供理论依据,并给出产例。 相似文献
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The mechanism of the graphics distrotion in a laser display system was studied. Based on the mathematical analysis, the pincushion and linear distortions were calculated. Theoretical results agree well with the experimental observation. By tracing laser beams from image plan back to scanners, a relation between the image points on the screen and the scan angles was built. Thus, it has been able to rectify the scanning distortions by computer software effectively. 相似文献
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Jan Weis Anders Ericsson Hans C.:Son Silander Anders Hemmingsson 《Magnetic resonance imaging》1998,16(10):1265-1272
We present a method for the quantification and correction of geometrical/intensity distortions of magnetic resonance images predominantly caused by bulk magnetic susceptibility shifts due to susceptibility heterogeneities of measured biologic tissues and shape of the object under investigation. The method includes precise and fast measurements of the static magnetic-field distribution inside the measured object and automated data processing. Magnetic-field deviations in the range −2.4; 2.6 ppm were found in the human brain at B0 = 1.5 T. For routinely used imaging parameters, with a read gradient strength of about 1 mT/m, the magnetic-field perturbations in the human brain can cause geometrical distortions up to ±4 mm and intensity changes up to ±50%. MR images corrected by the described method are suitable for planning high precision applications in neurosurgery. 相似文献
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Single crystals of the quaternary crystalline solid solution system RbxK1‐xBryCl1‐y have been grown by melt technique for three different compositions y = 0.25, 0.50 and 0.75, keeping x = 0.5 and X‐ray diffraction studies have been carried out for each case independently, using spherically ground single crystals. The results indicate an enhancement of Debye‐Waller B(total) factors for the compositions y = 0.25 and 0.75 whereas for the intermediate composition, y = 0.5, the factor B(total) is close to the end member value. This experimental investigation show that for this composition, the crystalline solid solution behaves like an end member crystal. 相似文献