Manifold Systems Applied Theory for Innovative Robotic Technology

Authors: Riznyk V* and Talan T

DOI: 10.23880/art-16000121

Volume 2, Issue 2

Abstract

Manifold systems applied theory for innovative robotic technology, namely the concept of Perfect Manifold Bundles (PMBs), is founded on the idea of processing information on many categories of attributes concurrently in the minimized basis of a manifold coordinate system. The underlying geometric principle allows the processing of several category-attribute sets simultaneously without paralleling calculation due to the total number of coordinate sets of this system generated by the combinational addition of the lower number of coordinate sets of the latter. Moreover, the set of the processed vector sets mutually uniquely matches the set of binary code combinations with vector-weighed bits. Algebraic summing of the bits is performed by taking into account the numerical values of the corresponding modules, which are definite dimensions, and dimensionality of the manifold coordinate system. Applications profiting from the manifold systems applied theory are for example robotic engineering devices and systems, big data processing, controlling dynamic objects in spatial coordinates according to several variable parameters concurrently, multidimensional signal processing, and other technology as an alternative to quantum ones.

Keywords: PMB; Coordinate System; Optimization; Big Data Processing; Category Attributes; Encryption

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