Comprehensive introduction to analysis of continuous and discrete-time signals and systems. Linear time-invariant systems, convolution; Fourier series representations of periodic signals; Continuous ...

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Ordinary differential equations (ODEs) and difference equations serve as complementary tools in the mathematical modelling of processes evolving in continuous and discrete time respectively. Together ...

In the world of data analysis and statistics, continuous and discrete data play fundamental roles. These two types of quantitative data serve different purposes as people use them to draw valuable ...

The benchmark tests show that the noise-free realization of QA can significantly outperform state-of-the-art classical algorithms. Quantum annealing (QA) is a cutting-edge algorithm that leverages the ...

Researchers demonstrate a novel method for transforming continuous time crystals into discrete ones using subharmonic injection locking, offering new insights into ...

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 ...

The conditioning of spline collocation matrices is considered in the case of a boundary value problem for an mth order equation. For bases with continuity built in (which corresponds to most current ...