By Anton Betten, Axel Kohnert, Reinhard Laue, Alfred Wassermann

This publication arose from the Euroconference "Algebraic Combinatorics and functions" held in G?ssweinstein, Germany, in September 1999, the place either senior and younger researchers in natural arithmetic, utilized arithmetic, laptop technological know-how, physics, and chemistry from diverse eu nations met. the most topic of the convention used to be crew activities in a number of components, a large spectrum of that is offered in those lawsuits. This quantity should be a great tool for researchers and graduate scholars in discrete arithmetic and theoretical computing device technological know-how.

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Extra info for Algebraic Combinatorics and Applications: Proceedings of the Euroconference, Algebraic Combinatorics and Applications (ALCOMA), held in Gößweinstein, ... 12-19, 1999 (English and German Edition)

Sample text

This choice actually contains the information of our observation and it reduces the initial uncertainty. Without an initial uncertainty we would not be able to classify the determination of a certain interval in the right way and we would not obtain a measurable gain of information. " In our example we may say: If we know that a desired value is contained in a certain region of a plane, then we are able to refine this region further with measurements and with the information contained in these measurements.

Flechtner [FLE72] confirms this, when he says that we more and more tend to look at information as the third basic quantity beside matter and energy because of the central importance Introduction 19 of information. For both energy and matter we only observe the effects they initiate, which is a general resemblance of these two quantities. e. adding the energy of two systems means that the energy of the whole system is equal to the sum of the energies of the subsystems. Information on the other hand is an intensive quantity, which means that the summation of two pieces of information leads to an accumulated information that is less than or equal to the sum of the two pieces of information.

Thus a machine that is only able to type a lot of characters at a very high speed (brute force) would be able to produce the same amount of sense that the human race has created, is still creating and will create by the application if its mind. However, as this machine is only able to type the characters and not to create sense, it will never be able to understand the sense of the books that it is writing in this senseless way. It can produce all possible books with a very simple instruction for their construction, but it will not be able to understand them, because it only follows the given instructions in a senseless way.

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