مشاركة
حول هندسة متعددات الحدود المعولية == On the Geometry of the Reliability Polynomials
اسم المؤلف:
عماد كريم مطر
اسم المشرف:
زاهر عبد الهادي حسن
الموضوع العام:
علوم الرياضيات
السنة:
2017
الموضوع الدقيق:
الرياضيات
الدرجة:
ماجستير
الجامعة:
جامعة بابل - كلية التربية للعلوم الصرفة - قسم الرياضيات
اللغة:
الانكليزية
مكان الجامعة:
بابل
الصفحات الاولى:
27T1025 - p.pdf
المستخلص:
This Thesis aims to study the conduct of geometric modeling of multivariate reliabilitypolynomials with comprehensive and up to date review of exact methods of reliability for complex systems as graph theory applications. We are discussing important ideas that include Finding a mathematical method for creating minimal paths and minimal cuts for each complex system. A geometric description to the multivariate reliability of complex interdependence in hypersurface by probability straight lines. Finding equivalent multivariate \reliability"1 polynomials via di eomorphisms. Covering a \reliability" hypersurface by exponential decay curves.We provided several new ideas on : (i) the reduction with assumption technique for a simpli ed multivariate \reliability" polynomial, (ii) convexity of multivariate \reliability" polynomial, (iii) geodesic of equivalent \relialility" polynomial, (v) \Mean Time To Failure" (\MTTF")2 (vi) failure rate of multivariate \reliability" polynomial
