Search results for "Matematica"
showing 10 items of 1637 documents
Context, Inference’s Safety, Proving and Further Comments
2022
In no way does this Chap. 2 try to reach definitive conclusions. It is just a preliminary inquiry, containing no more than some initial reflections made basing Commonsense Reasoning on perception. Specifically, on the possibilities that measurable meaning and Indistinguishability Operators offer for its study. Human beings are slave of their senses that, usually, do not distinguish things below some threshold.
Trying to Pose the Main Problem: Measurable Meaning
2022
We have shown the necessity to reconsider the concept of ‘meaning’. In this framework ‘meaning’ should be a situational concept requiring to be bounded by specific definitions rendering it applicable to our needs. Membership functions should as well be seen as ‘measures’ of meaning, which would give them a meaning as well.
Introduction
2022
‘Natural Reasoning’, that with which lay people decide their daily actions, also called Ordinary, Everyday, or Commonsense Reasoning, can be seen as ruled by the universal laws defining its formal ‘skeleton’.
Examples on the Analysis of Statements Trough Design
2022
The first example concerns the analysis of two statements on which very few things are known, with the goal of establishing which one is truer, and what should be previously known in order to capture their respective meanings.
Probability of mutually commuting n-tuples in some classes of compact groups
2008
In finite groups the probability that two randomly chosen elements commute or randomly ordered n−tuples of elements mutually commute have recently attracted interest by many authors. There are some classical results estimating the bounds for this kind of probability so that the knowledge of the whole structure of the group can be more accurate. The same problematic has been recently extended to certain classes of infinite compact groups in [2], obtaining restrictions on the group of the inner automorphisms. Here such restrictions are improved for a wider class of infinite compact groups.
Isoclinism in probability of commuting n-tuples
2009
Strong restrictions on the structure of a group $G$ can be given, once that it is known the probability that a randomly chosen pair of elements of a finite group $G$ commutes. Introducing the notion of mutually commuting n-tuples for compact groups (not necessary finite), the present paper generalizes the probability that a randomly chosen pair of elements of $G$ commutes. We shall state some results concerning this new concept of probability which has been recently treated in [3]. Furthermore a relation has been found between the notion of mutually commuting n-tuples and that of isoclinism between two arbitrary groups.
A note on relative isoclinism classes of compact groups
2009
On some recent investigations of probability in group theory
2010
We describe some recent contributions on the probability of commuting pairs, introduced by P. Erdos, W. Gustafson and P. Turan around 1968 and 1973. Both combinatorial methods and character theory have significant application in this context and we illustrate some standard techniques and strategies, once generalizations of the probability of commuting pairs want to be studied. The importance of the subject is emphasized in some remarks and open questions, which reformulate some classical conjectures in group theory via a probabilistic approach.