Final Digit Strings of Powers Where the Exponents
نویسندگان
چکیده
Given an integer b > 1 and a string s of decimal digits, one may ask whether there exists an integer n such that n (in decimal form) ends in s. This paper answers that question for the case where the exponent b is relatively prime to 10. It extends the earlier work [2], where the question was answered for cubes.
منابع مشابه
Design and Synthesis of High Speed Low Power Signed Digit Adders
Signed digit (SD) number systems provide the possibility of constant-time addition, where inter-digit carry propagation is eliminated. Such carry-free addition is primarily a three-step process; adding the equally weighted SDs to form the primary sum digits, decomposing the latter to interim sum digits and transfer digits, which commonly belong to {–1, 0, 1}, and finally adding the tra...
متن کامل2-Digit Summary
where and , and , are integers we will refer to as binary and ternary exponents. If we extend the exponents within an arbitrary signed integer space, then it is possible to represent any real number, with arbitrary precision, using a single non-zero digit, [1]. For simplicity, we will drop the subscripts and thus represent h by the 3-tuple . This provides a logarithmic type representation in th...
متن کاملBoundary operators in effective string theory
Various universal features of relativistic rotating strings depend on the organization of allowed local operators on the worldsheet. In this paper, we study the set of Neumann boundary operators in effective string theory, which are relevant for the controlled study of open relativistic strings with freely moving endpoints. Relativistic open strings are thought to encode the dynamics of confine...
متن کاملSchmidt : Application of Dynamic Time Warping 379 Test String
A connected digit recognizer is proposed in which a set of isolated word templates is used as reference patterns and an unconstrained dynamic time warping (DTW) algorithm is used to literally "spot" the digits in the string. Segmentation boundaries between digits are obtained as the termination point of the dynamic path from the previous time warp. A region around the boundary is searched for t...
متن کاملSegmentation and recognition of connected handwritten numeral strings
-A new segmentation method for segmenting connected handwritten digit strings is presented. Unlike traditional methods where segmentation points are uniquely determined to cut the piece of stroke joining the connected numerals, our approach is one of identifying regions which serve as potential segmentation points. The regions are identified by a thorough analysis of the trajectory of strokes.....
متن کامل