Dido’s Problem and Its Impact on Modern Mathematics
نویسنده
چکیده
Dido’s Problem The Roman poet Publius Vergilius Maro (70–19 B.C.) tells in his epic Aeneid the story of queen Dido, the daughter of the Phoenician king of the 9th century B.C. After the assassination of her husband by her brother she fled to a haven near Tunis. There she asked the local leader, Yarb, for as much land as could be enclosed by the hide of a bull. Since the deal seemed very modest, he agreed. Dido cut the hide into narrow strips, tied them together and
منابع مشابه
An Analysis of Social Capital Reduction in Banking Industry and its Impact on GDP
Social capital is a relatively new concept in the social sciences and is one of the most important challenges of new era in a way that based on experts’ comments, the solution for all the problems of today’s modern world is social capital. To this end, one of the problems that managers of organizations particularly; service and manufacturing organizations have faced with today is lack of trust ...
متن کاملA REVIEW ON SEQUENCING APPROACHES FOR MIXED-MODEL JUST-IN-TIME PRODUCTION SYSTEM
Research interests have been focused on the concept of penalizing jobs both for being early and for being tardy because not only of modern competitive industrial challenges of providing a variety of products at a very low cost by smoothing productions but also of its increasing and exciting computer applications. Here, sequencing approaches of the mixed- model just-in-time production systems is...
متن کاملCalculus of Variations
The calculus of variations is a branch of mathematical analysis that studies extrema and critical points of functionals (or energies). Here, by functional we mean a mapping from a function space to the real numbers. One of the first questions that may be framed within this theory is Dido’s isoperimetric problem (see Subsection 2.3): to find the shape of a curve of prescribed perimeter that maxi...
متن کاملThe Teaching of Mathematics Based on Socio-Cultural Approach and it’s Role in the Development of the Problem-Solving Ability for High School Students
This research is done based on Socio-cultural theory of Development and Collaborative learning role on Cognitive development of students in Mathematics, particularly on problem solving ability. Collaborative learning focuses on an approach of teaching in which uses the potential abilities and knowledge of students and is able to grow via intermental and intramental interactions. In this study, ...
متن کاملSome properties of band matrix and its application to the numerical solution one-dimensional Bratu's problem
A Class of new methods based on a septic non-polynomial spline function for the numerical solution one-dimensional Bratu's problem are presented. The local truncation errors and the methods of order 2th, 4th, 6th, 8th, 10th, and 12th, are obtained. The inverse of some band matrixes are obtained which are required in proving the convergence analysis of the presented method. Associated boundary f...
متن کامل