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| 1 | AUTOMATED REASONING IN DIFFERENTIAL GEOMETRY AND MECHANICS USING THE CHARACTERISTIC METHOD Ⅳ. Bertrand Curves显示文摘This paper reports the study of properties of the curve pairs of the Bertrandtypes using our automated reasoning program based on Wu’s method of mechanical the-orem proving for differential geometry. A complete list of results about Bertrand curvesin metric and affine spaces is derived mechanically. The list includes most of the knownresults of various Bertrand curves. We also derive some new results about Bertrand curves. | CHOU Shangching GAO Xiaoshan Department of Computer Science,the Wichita State University,Wichita,KS 67260,UsA Institute of Systems Science, Academia Sinica, Beijing 100080, China | 1993 | Systems Science and Mathematical Sciences1993，6，2： | 8 |
| 2 | ON THE THEORY OF RESOLVENTS AND ITS APPLICATIONS显示文摘We extend the concept of the resolvent of a prime ideal to the concept of theresolvent of a general ideal with respect to a set of parameters and propose an algorithmto construct the generalized resolvents based on Wu-Rits’s zero decomposition algorithm.Our generalized algorithm has the following applications. (1) For a reducible variety V,we can find a direction on which V is projected birationally to an irreducible hypersurface.(2) We give a new algorithm to find a primitive element for a finite algebraic extensionof a field of characteristic zero. (3) We present a complete method of finding parametricequations for algebraic curves. (4) We give a method of solving a system of polynomialequations to any given precision. | GAO Xiaoshan(Institute of Systems Science, Academia Sinica,Beijing 100080, China)Shang-Ching Chou(Department of Computer Science, The Wichita State University, Wichita,KS 67208, USA) | 1999 | Systems Science and Mathematical Sciences1999，12，S1： | 3 |
| 3 | Intracranial stenosis in Chinese patients with acute stroke显示文摘 | Wong KS Huang YN Gao S | 1998 | Neurology1998，50，3： | 1 |
| 4 | Mechanisms of acute cerebral infarctions in patients with middle cerebral artery stenosis: a diffusion-weighted imaging and microemboli monitoring study 显示文摘 | Wong KS Gao S Chan YL | 2002 | Ann Neuro12002，52，1： | 1 |
| 5 | Microembolie signal predicts recurrent cerebral isehemie events in acute stroke patients with middle cerebral artery stenosis显示文摘 | Wong KS Hansberg T | 2004 | Stroke2004，35，： | 1 |
| 6 | Microembolic signal predicts recurrent cerebral ischemic events in acute stroke patients with middle cerebral artery stenosis显示文摘 | Gao S Wong KS Hansberg T | 2004 | Stroke2004，35，12： | 1 |
| 7 | Microembolic signal predicts recurrent cerebral ischemic events in acute stroke patients with middle cerebral artery stenosis 显示文摘 | Gao S Wong KS Hansberg T | 2004 | Stroke2004，35，12： | 1 |
| 8 | Intraeranial stenosis in Chinese Patients with acute stroke显示文摘 | Wong KS Huang YN Gao S | 1981 | Neurology1981，50，3： | 1 |
| 9 | Nonviral gene delivery:what we know and what is next显示文摘 | Gao X Kim KS Liu D | 2007 | AAPS J2007，9，1： | 1 |
| 10 | Intracranial stenosis in Chinese patients with acute stroke 显示文摘 | Wong KS Huang YN Gao S | 1998 | Neurolgy1998，50，： | 1 |
| 11 | lntracranial stenosis in Chinese patients with acute stroke显示文摘 | Wong KS Huang YN Gao S | 1998 | Neurology1998，50，： | 1 |
| 12 | Cerebrovascuiar disease among Chinese populations: recent epidemiological and neuroimaging studies显示文摘 | Wong KS Huang YN Gao S | 2001 | Hong Kong Med J2001，7，： | 1 |
| 13 | Comparative pharmacokinetic behavior of glycyrrhetic acid after oral administration of glycyrrhizic acid and Gancao-Fuzi-Tang 显示文摘 | Gao QT Chen XH Bi KS | 2004 | Biol Pharm Bull2004，27，2： | 1 |
| 14 | Intracranial stenosis in Chiese patients with acute stroke显示文摘 | Huang YN Gao S | 1998 | Neurology1998，50，： | 1 |
| 15 | Identifeation of differentially expressed long non-coding RNAs in CD4 ( + ) T ceils re- sponse to latent tuberculosis infection 显示文摘 | Yi Z J Li JH Gao KS | 2014 | Infect2014，69，： | 1 |
| 16 | Mechanisms of acute cerebral infarctions in patients with middle cerebral artery stenosis:a diffusion-weighted imaging and microemboli monitoring study显示文摘 | Gao S Chan YL | 2002 | Annals Neurology2002，52，： | 1 |
| 17 | The relationships between age, sex, and the incidence of dementia and Alzheimer disease : a meta-analysis显示文摘 | Gao S Hendrie HC Hall KS | 1998 | Arch Gen Psychiatry1998，55，： | 1 |
| 18 | Mechanisms of acute cerebral infarctions in patients with middle cerebral artery stenosis: a diffusion-weighted imaging and microemboli monitoring study显示文摘 | Wong KS Gao S Chan YL | 2002 | Ann Neurol2002，52，1： | 1 |
| 19 | A randomized trial confirming the efficacy of reduced dose recombinant tissue plasminogen activator in a Chinese myocardial infarction population and demonstrating superiority to usual dose urokinase:the TUCC trial显示文摘 | Gao R Coyne KS | 2001 | Am Heart J2001，142，2： | 1 |
| 20 | Mechanisms of acute cerebral infarctions in patients with middle cerebral artery stenosis:a diffusion-weighted imaging and microemboli monitoring study显示文摘 | Wong KS Gao S Chan YL | | 0，，： | 1 |
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