منابع مشابه
Towards a Mathematical Theory of Analogy
This paper presents a mathematical theory of analogy, which should be a basis in developing analogical reasoning by a computer. The analogy is a partial identity between two sets of facts. In order to compare several analogies, we introduce an ordering of analogies, and we define two types of optimal analogies, maximal analogies and greatest ones. We show a condition under which the greatest an...
متن کاملTowards a mathematical theory of meaningful communication
Meaning has been left outside most theoretical approaches to information in biology. Functional responses based on an appropriate interpretation of signals have been replaced by a probabilistic description of correlations between emitted and received symbols. This assumption leads to potential paradoxes, such as the presence of a maximum information associated to a channel that creates complete...
متن کاملTowards a Mathematical Theory of Super-Resolution
This paper develops a mathematical theory of super-resolution. Broadly speaking, superresolution is the problem of recovering the fine details of an object—the high end of its spectrum— from coarse scale information only—from samples at the low end of the spectrum. Suppose we have many point sources at unknown locations in [0, 1] and with unknown complex-valued amplitudes. We only observe Fouri...
متن کاملMathematical problem solving by analogy.
We report the results of 2 experiments and a verbal protocol study examining the component processes of solving mathematical word problems by analogy. College students first studied a problem and its solution, which provided a potential source for analogical transfer. Then they attempted to solve several analogous problems. For some problems, subjects received one of a variety of hints designed...
متن کاملTowards a simple mathematical theory of citation distributions
The paper is written with the assumption that the purpose of a mathematical theory of citation is to explain bibliometric regularities at the level of mathematical formalism. A mathematical formalism is proposed for the appearance of power law distributions in social citation systems. The principal contributions of this paper are an axiomatic characterization of citation distributions in terms ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of informatics and cybernetics
سال: 1985
ISSN: 0286-522X
DOI: 10.5109/13366