This is a java program that demonstrates many basic functions in discrete mathematics and set theory. The class FunctionsChapter3Style uses OrderedPair objects within its methods.

Read Levin's chapter on functions. Go over the exercises at the end. Note that Levin skips over the more general notion of relation -- he comes to it in a later stage, though. We will talk about ...

Self-funded student: register by the 10th of the month, start on the 1st of the next. Funded student: please check the next enrolment deadline and course start date. Mathematics 309: Discrete ...

1 Apply the basic principles of mathematical logic. 2 Construct and analyse mathematical proofs. 3 Apply the principles of set theory, functions and relations. 4 Apply the principles of abstract ...

Abstract: This paper proposed a new design of the mathematical model for ECG waveform using kernel function. The continued standard ECG signal will be converted to the discrete time signal or original ...

In this paper we prove the following theorem: let G be a discrete amenable group with nontrivial almost-periodic compactification, and let F be a complex-valued function defined in [-1, 1]; then F ...

We study the Dirichlet problem for discrete harmonic functions in unbounded product domains on multidimensional lattices. First we prove some versions of the Phragmén-Lindelöf theorem and use Fourier ...

Abstract: This paper studies the problem of robust fault estimation (FE) observer design for discrete-time Takagi–Sugeno (T–S) fuzzy systems via piecewise Lyapunov functions. Both the full-order FE ...