A Fancy Way to Obtain the Binary Digits of 759250125√2
نویسنده
چکیده
R. L. Graham and H. O. Pollak observed that the sequence u1 = 1, un+1 = ⌊√ 2 ( un + 1 2 )⌋ , n ≥ 1, has the curious property that the sequence of numbers (u2n+1 − 2u2n−1)n≥1 gives the binary digits of √ 2. We present an extension of the Graham–Pollak sequence which allows to get – in a fancy way – the binary digits of 759250125 √ 2 and other numbers.
منابع مشابه
A fancy way to obtain the binary digits of 759250125 √ 2 Thomas Stoll
R. L. Graham and H. O. Pollak observed that the sequence u1 = 1, un+1 = ⌊ √ 2 (un + 1/2)⌋, n ≥ 1, has the curious property that the sequence of numbers (u2n+1−2u2n−1)n≥1 denotes the binary digits of √ 2. We present an extension of Graham–Pollak’s sequence which allows to get – in a fancy way – the binary digits of 759250125 √ 2 and other numbers.
متن کاملعوامل موثر بر خرید تفننی محصول جدید با درگیری پایین
The purpose of this survey is to survey conceptual processes and consumers’ motivation for fancy purchase of new products. This study indicates how non-planned purchase of new products is different from that of other products leading to planning, marketing and management of sales costs and opportunities in new products industry by providing more information on the factors influencing fancy purc...
متن کاملتعیین حجم نمونه در داده های دوتایی برای دو گروه مستقل در مطالعات پزشکی
Backgound and Objectives: Nowadats, it is very common to investigate the effect of a new method or medicine by using a comparison between two independent groups in many clinical studies, but unfortunately the sample size part has not been done based on scientific formulas but on practical issues in some researches of this type of cinical studies, and this makes some unreliable results. Therefor...
متن کاملArteriographic Evaluation of Laminitis Digits in the Hind Limbs of Dairy Cattle
Objective: Laminitis is one of the main causes of lameness in dairy cattle. In this situation the corium blood circulation is disrupted and the production of healthy horny hoof wall is reduced. The purpose of this study was to evaluate the arteriographic pattern of the digital arterial branches in the laminitic digits and to compare them with the normal digits. Design: Original study. Animals...
متن کاملOn the Spectra of a Cantor Measure
We analyze all orthonormal bases of exponentials on the Cantor set defined by Jorgensen and Pedersen in J. Anal. Math. 75,1998, pp 185-228. A complete characterization for all maximal sets of orthogonal exponentials is obtained by establishing a one-to-one correspondence with the spectral labelings of the infinite binary tree. With the help of this characterization we obtain a sufficient condit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- The American Mathematical Monthly
دوره 117 شماره
صفحات -
تاریخ انتشار 2010