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Signal processing is the analysis, interpretation, and manipulation of signals. Signals of interest include sound , images , biological signals such as ECG , radar signals, and many others. Processing of such signals includes filtering , storage and reconstruction, separation of information from noise , compression , and feature extraction .
For further developments: see list of real analysis topics, list of complex analysis topics, list of multivariable calculus topics This page was last ...
Rigorous coupled-wave analysis — semi-analytical Fourier-space method based on Floquet's theorem; Transmission-line matrix method (TLM) — based on analogy between electromagnetic field and mesh of transmission lines; Uniform theory of diffraction — specifically designed for scattering problems; Particle-in-cell — used especially in ...
Convolution. Cauchy product –is the discrete convolution of two sequences; Farey sequence – the sequence of completely reduced fractions between 0 and 1; Oscillation – is the behaviour of a sequence of real numbers or a real-valued function, which does not converge, but also does not diverge to +∞ or −∞; and is also a quantitative measure for that.
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematics that investigates functions of complex numbers. It is useful in many branches of mathematics, including number theory and applied mathematics ; as well as in physics , including hydrodynamics , thermodynamics , and electrical ...
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear operators acting upon these spaces and respecting these structures in a suitable sense.
Position paper, an essay that represents the author's opinion; Term paper, is a type of research paper written by high school or college students to fulfill course requirements. Thesis or dissertation, a document submitted in support of a candidature for a degree or professional qualification, presenting the author's research and findings
[6] [7] Some high-school-level discrete mathematics textbooks have appeared as well. [8] At this level, discrete mathematics is sometimes seen as a preparatory course, like precalculus in this respect. [9] The Fulkerson Prize is awarded for outstanding papers in discrete mathematics.