منابع مشابه
Ternary Basic Digit Sets
A radix representation of a real number, for an integral base B ≥ 2 and digit set D, is a string of digits (an...a1a0...)B = ∑∞ i=−n a−iB , with ak ∈ D. It is commonly known that using a digit set of the form {0, 1, ..., B−1}, any positive real number has a B-ary radix representation. This is simply the standardB-ary representation of a number. Alternative digit representations have been of pra...
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We examine a special case of admissible representations of the closed interval, namely those which arise via sequences of a finite number of Möbius transformations. We regard certain sets of Möbius transformations as a generalized notion of digits and introduce sufficient conditions that such a “digit set” yields an admissible representation of [0,+∞]. Furthermore we establish the productivity ...
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We determine for which rouiidings adrlitioii in the floating-point screen has representable rounding error, whicli rouiiclings are implied by truncation of digit strings i n different radix systems with contiguous digits, and how rnany additional digits (including possibly a sticky bit) have to I)c kept in such systems in orcler to perforin a given rorinclirig correctly. Throughout the paper, w...
متن کاملAlternative Digit Sets for Nonadjacent Representations
It is known that every positive integer n can be represented as a finite sum of the form n = P ai2 , where ai ∈ {0, 1,−1} for all i, and no two consecutive ai’s are non-zero. Such sums are called nonadjacent representations. Nonadjacent representations are useful in efficiently implementing elliptic curve arithmetic for cryptographic applications. In this paper, we investigate if other digit se...
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How are proteins sorted to different destinations in eukaryotic cells? Until recently, it was generally thought that the constitutive flow of proteins to the cell surface occurs by default, and that proteins simply accumulate carbohydrate modifications as they pass sequentially through each compartment along the secretory pathway [1]. This hypothesis was supported by studies showing that inhibi...
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ژورنال
عنوان ژورنال: Science
سال: 2014
ISSN: 0036-8075,1095-9203
DOI: 10.1126/science.346.6207.311-b