• Гідрологія і Гідрометрія
• Господарське право
• Економіка будівництва
• Економіка природокористування
• Економічна теорія
• Земельне право
• Історія України
• Кримінально виконавче право
• Медична радіологія
• Методи аналізу
• Міжнародне приватне право
• Міжнародний маркетинг
• Основи екології
• Предмет Політологія
• Соціальне страхування
• Технічні засоби організації дорожнього руху
• Товарознавство продовольчих товарів

New methods for old problems

The mathematician Johann Bernoulli found the answer centuries ago when he realised that it was a cycloid (the curve described by a point on a circle rolling along a line). That was the origin of the calculus of variations, which was also used in other classic problems, like that of the catenary (the shape of a chain suspended by its endpoints) and the isoperimetric curve (a curve that maximizes the area it encloses).

The study shows that these calculations may be related to Plateau’s problem, that is, to find the shape adopted by a soap film under certain boundary restrictions. Besides, the researchers show how to design the experiments constraining the soap films between two surfaces in such a way as to obtain the appropriate curves.

Other Spanish researchers, like Isabel Fernandez, of the University of Seville, and Pablo Mira, of the Polytechnic University of Cartagena, have succeeded in finding for the first time the solution to specific mathematical problems (the Bernstein problem in the Heisenberg space) with the help of soap films.

TEXT 8

Читайте також:

1. A. Give the definitions for the following terms and expressions. What are these methods used for? What can they help to an investigator?
2. CLINICAL METHODS OF PATIENT’S EXAMINATION
3. Data Collection Methods for Market Research
4. Debated Problems within a Simple Sentence
5. Debated Problems within the Theory of the Phrase
6. Debated Problems within The Verbals
7. Demo 11: Access Methods (методи доступу)
8. Different Aspects of Stylistic Problems
9. Ecological Problems
10. Environmental Problems and Their Influence on People’s Health
11. Geophysical survey methods (after G. Pratt) (2000)
12. Human Factor and Aviation Safety Problems

Переглядів: 431