On the simultaneous approximation of two real numbers

Fuzzy Best Simultaneous Approximation of a Finite Numbers of Functions

Fuzzy best simultaneous approximation of a finite number of functions is considered. For this purpose, a fuzzy norm on $Cleft (X, Y right )$ and its fuzzy dual space and also the  set of subgradients of a fuzzy norm are introduced. Necessary case of a proved theorem about characterization of simultaneous approximation will be extended to the fuzzy case.

On approximation of real numbers by real algebraic numbers

Simultaneous Approximation of Logarithms of Algebraic Numbers

Recently, close connections have been established between simultaneous diophantine approximation and algebraic independence. A survey of this topic is given by M. Laurent in these proceedings [7]. These connections are one of the main motivations to investigate systematically the question of algebraic approximation to transcendental numbers. In view of the applications to algebraic independence...

Simultaneous Approximation to Pairs of Algebraic Numbers

The author uses an elementary lemma on primes dividing binomial coefficients and estimates for primes in arithmetic progressions to sharpen a theorem of J. Rickert on simultaneous approximation to pairs of algebraic numbers. In particular, it is proven that max {∣∣∣∣√2− p1 q ∣∣∣∣ , ∣∣∣∣√3− p2 q ∣∣∣∣} > 10−10q−1.8161 for p1, p2 and q integral. Applications of these estimates are briefly discussed.

the evaluation and comparison of two esp textbooks available on the iranian market for teaching english to the students of medicine

abstract this study evaluated and compared medical terminology and english for the students of medicine (ii) as two representatives of the textbooks available on the iranian market for teaching english to the students of medicine. this research was performed on the basis of a teacher’s and a number of students’ attitudes and the students’ needs analysis for two reasons: first, to investigate...