Temperature bounds on the infinite rod
| العنوان: | Temperature bounds on the infinite rod |
|---|---|
| المؤلفون: | Daniel Resch |
| المصدر: | Proceedings of the American Mathematical Society. 3:632-634 |
| بيانات النشر: | American Mathematical Society (AMS), 1952. |
| سنة النشر: | 1952 |
| مصطلحات موضوعية: | Combinatorics, Class (set theory), Basis (linear algebra), Applied Mathematics, General Mathematics, Point (geometry), Mathematics |
| الوصف: | The temperature of an infinite rod is measured at n points xi at the respective times ti and the temperatures are denoted by ci, i= 1, 2, * * *, n. On the basis of this data, what will the bounds on the temperature be at any point x of the rod and at any time t? A theorem of P. C. Rosenbloom leads to a satisfactory theoretical solution of the problem as follows.' Consider the n+1 functions fi(y), * , fn(y), f(y), continuous on (-oo, oo), and the numbers cl, * * cn. Let M be the class of all nondecreasing functions a(y) such that |
| تدمد: | 1088-6826 0002-9939 |
| DOI: | 10.1090/s0002-9939-1952-0049434-8 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::d5f7efb1bf4997656934d295ffb0eefc https://doi.org/10.1090/s0002-9939-1952-0049434-8 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi...........d5f7efb1bf4997656934d295ffb0eefc |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 10886826 00029939 |
|---|---|
| DOI: | 10.1090/s0002-9939-1952-0049434-8 |