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applications of tensor analysis to compute the curvature and torsion for implicit curves
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نویسنده
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khaleghi mehdi
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منبع
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هفتمين سمينار آناليز تابعي و كابردهاي آن - 1401 - دوره : 7 - هفتمین سمینار آنالیز تابعی و کابردهای آن - کد همایش: 01220-10879 - صفحه:0 -0
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چکیده
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In the this paper, curvature and torsion formulas will be computed for an implicit curve in (n + 1)-dimension by using tensor analysis and operations. then, goldman's results for computing the torsion of an implicit curve have been extended in rn+1 euclidean space. in addition, some useful formulas to calculate the higher order analogues of the torsion in (n + 1)-dimensions will be derived in this paper, using tensor operations.
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کلیدواژه
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differential geometry ,curvature ,torsion ,implicit curves.
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آدرس
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, iran
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Authors
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