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Multidimensional systems : ウィキペディア英語版
Multidimensional system

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.
== Applications ==
Multidimensional systems or ''m''-D systems are the necessary mathematical background for modern digital image processing with many applications in biomedicine, X-ray technology and satellite communications.
There are also some studies combining ''m''-D systems with partial differential equations (PDEs).

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