Subscribe to the gold package and get unlimited access to Shamra Academy
Register a new userThe way toward Jacobian Problem throughout the Resultant theory
الطريق إلى مسألة اليعقوبي عبر نظرية النواتج
390
0 7
0
(
0
)
Created by
Shamra Editor
Ask ChatGPT about the research
قًمنا في هذا البحث بدراسة مسألة مشهورة تدعى بمسألة اليعقوبي, حيث قمنا بصياغة مجموعة نتائج و مبرهنات في إطار هذه المسألة, فتمكنا من الوصول إلى برهان على صحة المسألة في حالة خاصة باستخدام برنامج الMaple يمكن من خلاله الوصول إلى الحالة العامة, و ذلك عبر اختزال الناتج لكثيرات حدود عامة.
In this paper we have studied a well known problem called Jacobian problem, we introduce some new results in the framework of this problem, we give a proof to this problem in special case by reducing the resultant of general polynomial using some MAPLE command. In the same way, we can deduce the general case.
References used
BASS H, CONNELL E, WRIGHT D, 1982 The Jacobian conjecture, reduction of degree and formal expansion of the inverse, Bull. Amer. Soc,Vol.7.287-330
BIALYNIEKI-BIRULAA, ROSENLICHT M, 1962 Injective morphisms of real algebraic varieties,Proceedings', of the American Mathematical Society,Vol. 13.200-203
COX D,LITTLE J, and O’SHEA D, 1998-Using Algebraic . Geometry, Springer-Verlag, second edition, New York-Berlin- . . Heidelberg, 572p
rate research
Read More
Theory Resultant are considered as one of the new mathematical
tools that motivate the researchers in all mathematical
domains.They use in solving many of mathematical problems.
In this research was proofed that the first liner essential
problem of electro Elasticity theory has unique solution .
This problem aim to find the vector which belong to the
class and realize the folowing system of equations :
For som bondary conditions , In improving that the Dairkhli integral
was used .
In this research paper we found a form of solution for a
system of equations in the couple – stress theory of mathematical
elasticity in the static case and in the neighborhood of a point at
infinity .
And , also , it was proved that the first essential and external
problem of couple-stress theory of elasticity has unique solution.
In this research, we study the material point motion, in the field of a
homogeneous and unbounded, material rod. so we present the
Hamiltonian formalization of the problem and study the orbits
located in the plans perpendicular to the rod. We reve
al the
proprieties of symmetry of those orbits, and present the conditions
to its closure.
We also study the material point motion, in the field of a
homogeneous and bounded, material rod. We present the
Hamiltonian formalization of the problem, reveal the practicality of
the plan of symmetry, and we studied the motion in this plan. We
reveal the existence of unbounded or bounded planar orbits; some
of those are closed. We also reveal that when the angular velocity
isn't null, there are not orbits leading to a collision with the rod.
بحث في نظرية البيان يحتوي الفصل الاول على أساسيات ومبادئ برمجية لبرمجة خوارزميات البيان و تمثيل البيان برمجيا , و يحتوي الفصل الثاني على شرح لطرق عبور البيان باستخدام خوارزميات البحث في العرض و البحث في العمق , فيما يعرض الفصل الثالث خوارزميات أساسية
في البيان , مثل خوارزمية الترتيب الطوبولوجي و خوارزميات أقصر طريق دايكسترا Dijekstra و floyd warshall , التعامل مع الحالات التي يحتوي البيان فيها وصلات تكلفة سالبة و البيان الخالي من الدورات Acyclic .
Log in to be able to interact and post comments
comments
Fetching comments
Sign in to be able to follow your search criteria
