Computing with New Resources: Essays Dedicated to Jozef by Cristian S. Calude

By Cristian S. Calude

Professor Jozef Gruska is a well-known machine scientist for his many and extensive effects. He was once the daddy of theoretical laptop technological know-how examine in Czechoslovakia and one of the first Slovak programmers within the early Sixties. Jozef Gruska brought the descriptional complexity of grammars, automata, and languages, and is without doubt one of the pioneers of parallel (systolic) automata. His different major study pursuits contain parallel platforms and automata, in addition to quantum details processing, transmission, and cryptography. he's co-founder of 4 commonplace sequence of meetings in informatics and in quantum info processing and the Founding Chair (1989-96) of the IFIP expert team on Foundations of desktop Science.

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Ultrametric analysis and interbasin kinetics. In: 2nd International Conference on p-adic Mathematical Physics, vol. 826, pp. 121–128. AIP Publishing (2006) 13. : Ultrametric turing machines with limited reversal complexity. In: SOFSEM 2013: Theory and Practice of Computer Science, vol. 2, pp. 87–94 (2013) 14. : Counting with automata (2001) 16 K. Balodis 15. : Succinct representation of regular languages by boolean automata. Theoretical Computer Science 13(3), 323–330 (1981). com/science/article/pii/S0304397581800059 16.

One gets a powerful computer at the size of a few hundred ˚ A. We consider only the components of such a powerful cellular computer and their capabilities. Solitons can be considered as waves or particles travelling through some “substance” unhindered, without energy loss, and without interference. They travel slowly – at the speed of sound, but fast enough when only small distances need to be covered. They can, however, modify the “field” through which they travel. We suggest that the reader view solitons as waves because this helps in the understanding of the formal model.

Balodis finite number of non-zero digits. For any given n ∈ N, the non-zero component of its representation in p-adic numbers will exactly match the representation of n in base p. Take the number 42 as an example, which is written as 132 in base 5. Its 5-adic representation is · · · 0 · · · 0132. The situation is different for negative and rational p-adic numbers. Let us consider the number 12 and its 5-adic representation as an example. 5-adic 12 is a number that, when added to itself, gives 1. From this, we can devise that the 5-adic representation of 12 is ··· 2 2 2 2 2 3 + ··· 2 2 2 2 2 3 ··· 0 0 0 0 0 1 Similarly, we devise subtraction and negative numbers.

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