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| 1 | PIECEWISE RATIONAL APPROXIMATIONS OF REAL ALGEBRAIC CURVES显示文摘We use a combination of both algebraic and numerical techniques to construct a C1-continuous, piecewise (m, n) rational E-approtimation of a real algebraic plane curve of degree d. At singular points we use the classical Weierstrass Preparation Theorem and Newton power series factorizations, based on the tecdrique of Hensel lifting. These, together with modifled rational Pade approkimations, are used to efficiently construct locally approximate, rational parametric representations for all real branches of an algebraic plane curve. Besides singular points we obtain an adaptive selection of simple points about which the curve approalmations yield a small number of pieces yet achieve C1 continuity between pieces. The simpler cases of C-1 and Co continuity are also handled in a sbolar manner. The computation of singularity, the approkimation error bounds and details of the implemeniation of these algorithms are also provided. | Bajaj, CL Xu, GL | 1997 | Journal of Computational Mathematics1997，15，1： | 7 |
| 2 | Quantitative MRI and X-ray analysis of disc degeneration and paraspinal muscle changes in degenerative spondylolisthesis显示文摘 | Wang GL Saugat BK Xu SH | 2015 | J Back Musculoskelet Rehabil2015，28，2： | 1 |
| 3 | Antitumoral activity of rapamycin mediated through inhibition of HIF-1alpha and VEGF in hepatocellular carcinoma显示文摘 | Wang W Jia WD Xu GL | 2009 | Dig Dis Sci2009，54，10： | 1 |
| 4 | Prognostic significance of osteopontin in hepatocellular carcinoma, a meta-analysis 显示文摘 | ZHANG CH XU GL JIA WD | 2012 | Int J Cancer2012，130，： | 1 |
| 5 | Subtypes and one-year survival of first-ever stroke in Chinese patients: the Nanjing stroke registry显示文摘 | Liu XF Xu GL Wu WT | 2006 | Cerebrovascular Diseases2006，22，： | 1 |
| 6 | Thoracic vertebrectomy and spinal reconstruction via anterior, posterior, or combined approaches: clinical outcomes in 91 consecutive patients with metastatic spinal tumors 显示文摘 | Xu R Garces-Ambrossi GL McGirt M J | 2009 | J Neurosurg Spine2009，11，3： | 1 |
| 7 | A logic based language for networked agents显示文摘 | Chen GL Fan XC | 1998 | Information and Software technology1998，40，4： | 1 |
| 8 | Preventing 13-Cell Loss and Diabetes With Calcium Channel Blockers显示文摘 | Xu GL Chen JQ Gu J | 2012 | Diabetes2012，61，4： | 1 |
| 9 | The 2β2-2β3 loop of anthrax protective antigen contains a dominant neutralizing epitope显示文摘 | Zhang J Xu JJ Li GL | 2006 | Biochem Biophys Res Commun2006，341，4： | 1 |
| 10 | Thoracic vertebrectomy and spinal reconstruction via anterior,posterior,or combined approaches:clinical outcomes in 91 consecutive patients with metastatic spinal tumors显示文摘 | Xu R Garcés-Ambrossi GL McGirt MJ | 2009 | J Neurosurg Spine2009，11，3： | 1 |
| 11 | Attenuation of acute lung injury in mice by oxymatrine is associated with inhibition of phosphorylated p38 mitogen-activated protein kinase显示文摘 | Xu GL Yao L Rao SY | 2005 | J Ethnopharmacol2005，98，12： | 1 |
| 12 | Role for alternative complement pathway in ischemia/reperfusion injury显示文摘 | Stahl GL XU YY HAO LM | 2003 | Am J Pathol2003，162，2： | 1 |
| 13 | Numerical simulation of the solar chimney power plant systems coupled with turbine显示文摘 | Ming TZ Liu W Xu GL | 2008 | Renewable Energy2008，33，5： | 1 |
| 14 | Effects of interferon alpha treat- ment on recurrence and survival after complete resection or ablation of hepatocellular carcinoma:a meta-analysis of randomized controlled trials显示文摘 | Zhang CH Xu GL Jia WD | 2009 | Int J Cancer2009，124，12： | 1 |
| 15 | Resveratrol inhibits the expressionof SREBP1 in cell model of steatosis via Sirt1-FOXO1 signalingpathway显示文摘 | Wang GL Fu YC Xu WC | 2009 | Biochem Biophys Res Commun2009，380，3： | 1 |
| 16 | Prognostic influence of parapharyngeal space involvement in nasopharyngeal carcinoma 显示文摘 | Xiao GL Gao L Xu GZ | 2002 | Int J Radiat Oncol Biol Phys2002，52，4： | 1 |
| 17 | Preventing β-cell loss and diabetes with calcium channel blockers显示文摘 | Xu GL Chen J Jing G | 2012 | Diabetes2012，61，4： | 1 |
| 18 | Biofortification of soybean sprouts with zinc and bioaccessibility of zinc in the sprouts显示文摘 | Zou T Xu N Hu GL | 2014 | J Sci Food Agric2014，94，14： | 1 |
| 19 | Dnmt3L and the establishment of maternal genomic imprints显示文摘 | Bourc'his D Xu GL Lin CS | 2001 | Science2001，294，： | 1 |
| 20 | Development and characteriza tion of microsatellite loci in Lamprotula leai,with cross-amplication in Hyriopsis cumingii显示文摘 | Xu B Li JL Wang GL | 2011 | Conserv Genet Resour2011，3，3： | 1 |
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