System in which not only one independent variable exists
In mathematical systems theory, a multidimensional system or m-D system is a system in which not only one independent variable exists (like time), but there are several independent variables.
Important problems such as factorization and stability of m-D systems (m > 1) have recently attracted the interest of many researchers and practitioners. The reason is that the factorization and stability is not a straightforward extension of the factorization and stability of 1-D systems because, for example, the fundamental theorem of algebra does not exist in the ring of m-D (m > 1) polynomials.
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In mathematical systems theory, a multidimensionalsystem or m-D system is a system in which not only one independent variable exists (like time), but...
Vetterli, Martin (1997). "Gröbner bases and multidimensional FIR multirate systems" (PDF). MultidimensionalSystems and Signal Processing. 8 (Springer): 11–30...
Multidimensional scaling (MDS) is a means of visualizing the level of similarity of individual cases of a data set. MDS is used to translate distances...
general class of systems are defined over multiple independent variables and are therefore called multidimensionalsystems. Such systems are useful for...
applications of Multirate filter banks and Multidimensional Directional filter banks. Linear time-invariant systems typically operate at a single sampling...
general systems theory) Applied multidimensionalsystems theory Archaeological systems theory (also see: Systems theory in archaeology) Systems theory...
transaction processing (OLTP). OLAP tools enable users to analyse multidimensional data interactively from multiple perspectives. OLAP consists of three...
(perhaps more) digital image processing may be modeled in the form of multidimensionalsystems. The generation and development of digital image processing are...
relations. Increasingly sophisticated attempts to model real-world systems as multidimensional networks have yielded valuable insight in the fields of social...
Fractal Grey box model Irreducible complexity Meta-systemsMultidimensionalsystems Open and closed systems in social science Pattern language Recursion (computer...
(ordinary frequency) or radians per unit time (angular frequency). In multidimensionalsystems, the wavenumber is the magnitude of the wave vector. The space...
Multidimensional Multirate systems find applications in image compression and coding. Several applications such as conversion between progressive video...
the Multidimensional Fourier Transform. Fourier Transform (FT) of multi-dimensional (MD) signal or system is the transform of the MD signal or system that...
be acted on right away. A spatial database can store the data with multidimensional features. The queries on such data include location-based queries,...
processing, multidimensional signal processing covers all signal processing done using multidimensional signals and systems. While multidimensional signal...
In mathematical analysis and applications, multidimensional transforms are used to analyze the frequency content of signals in a domain of two or more...
The United Nations Multidimensional Integrated Stabilization Mission in Mali (French: Mission multidimensionnelle intégrée des Nations Unies pour la stabilisation...
of German universities and colleges. It is a subject‐specific, multidimensionalsystem aimed at providing information for students, with its main emphasis...
Multidimensional Expressions (MDX) is a query language for online analytical processing (OLAP) using a database management system. Much like SQL, it is...
series on statistics Probability theory Probability Axioms Determinism System Indeterminism Randomness Probability space Sample space Event Collectively...
often model one-dimensional dynamical systems, partial differential equations often model multidimensionalsystems. Stochastic partial differential equations...
A multidimensional organization is an organization that pursues its objectives simultaneously through multiple dimensions (product, region, account, market...
In signal processing, multidimensional discrete convolution refers to the mathematical operation between two functions f and g on an n-dimensional lattice...
November 2005). "Detecting structural changes in object oriented software systems". 2005 International Symposium on Empirical Software Engineering, 2005...
showcasing such efficient and fast algorithms for multidimensional signals and systems. A multidimensional (M-D) signal can be modeled as a function of M...
various aspects of software offering system dynamics features: Due to concerns over commercial postings on the system dynamics main topic, commercial hyperlinks...
extended for multidimensional signal processing as well. This article introduces a few methods for wavelet synthesis and analysis for multidimensional signals...
University of Pittsburgh. Bose was a world-renowned expert in multidimensional signals and systems theory. He investigated high resolution reconstructions of...
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