All solutions of the equilibrium capillary surface equation are oscillatory
نویسندگان
چکیده
منابع مشابه
All Solutions of the Equation
The number of divisors function den), is a classic function of number theory, having been defined centuries ago. In contrast, the Smarandache function Sen), was defined only a few decades ago. The purpose of this paper is to tind all solutions to a simple equation involving both functions. Theorem: The only solutions to the equation Sen) + den) = n, n > 0 are 1, 8 and 9. Proof: Since S( 1) = 0 ...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2000
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(00)00041-0