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Register a new userStudying The Real Branches Of Algebraic Curves In The Approximate Singular Points Using Puiseux Expansion
دراسة الفروع الحقيقية للمنحنيات الجبرية في النقاط الشاذة التقريبية باستخدام نشر بويزو
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Aِl-Baath University ورقة بحثية
Publication date
2018
fields
Mathematics
and research's language is
العربية
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Shamra Editor
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في هذا البحث، سندرس في حقل المتسلسلات الشكلية ل بويزو Puiseux , كيفية إيجاد الفروع الحقيقية لمنحني جبري بمتغيرين و المارة من النقاط الشاذة التقريبية ، بالاعتماد على نشر بويزو Puiseux و الحسابات التقريبية و بمساعدة مضلع نيوتن و باستخدام و الاختبار المعياري، و من ثم إيجاد خوارزمية متكاملة لإيجاد تلك الفروع .
In this paper, we will study how we find the number of the reals branches of algebraic curve which pass by the approximate singular points using the expansion of Puiseux , the approximating calculations , the Newton's polygon , Gap theory and Test Criterion in the formal series field . Then we will find a good Algorithm .
References used
BAJAJ,C. and Xu ,G., (1997)," Piecewise Rational Approximation of Real Algebraic Curves
COX, D. A. and LITTLE, J. and SHEA, O.D., (2004) "Using Algebraic Geometry", III. Title. IV. Graduate QA564.C6883
CUTKOSKY,S. D .,"Resolution Of Singularities". University of Missouri ,COLUMBIA, Missouri 65211
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