Finite number of classes

Lecture Theory of Automata: Lesson 27. The main topics covered in this chapter include: pumping lemma version II, proof and examples, Myhill Nerode theorem and examples, strings belonging to same class, consider the language L of strings,...

14p wangziyi_1307 26-04-2022 15 2   Download

Lecture Introduction to Stochastic Processes: Lesson 18 provide students with knowledge about recurrent classes are closed, application of the proposition, expected number of visits, n-step transition probabilities, if the state space is finite, then not all states are transient,...

17p bachnhuocdong 23-12-2021 13 0   Download

We study the structures of some finite groups such that the conjugacy class size of every noncentral element of them is divisible by a prime p.

8p danhdanh27 07-01-2019 21 2   Download

Let G be a finite p−group, and denote by k(G) number of conjugacy classes in G. The aim of this paper is to introduce the conjugacy structure type and degree structure type for p−groups, and determine these parameters for p−groups of order p5 and calculate k(G) for them.

6p tuongvidanh 06-01-2019 36 1   Download

This chapter and the next are devoted to enumeration, where the problem is to determine the number of combinatorial configurations described by finite rules, and do so for all possible sizes. This chapter presents the following content: Symbolic method, trees and strings, powersets and multisets, compositions and partitions, substitution.

61p allbymyself_08 22-02-2016 57 3   Download

Chapter 10 we addressed queueing networks with, in principle, an unbounded number of customers. In this chapter we will focus on the class of queueing networks with a fixed number of customers. The simplest case of this class is represented by the so-called GordonNewell queueing networks; they are presented in Section 11.1. As we will see, although the state space of the underlying Markov chain is finite, the solution of the steady-state probabilities is not at all straightforward (in comparison to Jackson networks).

36p huggoo 23-08-2010 86 7   Download

Detection and classification arise in signal processing problems whenever a decision is to be made among a finite number of hypotheses concerning an observed waveform. Signal detection algorithms decide whether the waveform consists of “noise alone” or “signal masked by noise.” Signal classification algorithms decide whether a detected signal belongs to one or another of prespecified classes of signals. The objective of signal detection and classification theory is to specify systematic strategies for designing algorithms which minimize the average number of decision errors.

15p longmontran 18-01-2010 71 9   Download