Аннотация:This paper introduces the base concepts of Mathematical Analysis of Numerical Arrays (MANA). The foundations of the MANA based on relation between numerical arrays and continuous functions (an analogue of the Wiener-Kotelnikov sampling theorem). Linear differentiation and integration operations do not change the bandwidth of the resulting functions. It is the simplest case the continuous functions can be represented by the arrays of sampling of the same dimension. This paper presents an example of application in case of 3D vector characterization and vortex flow modeling.
ISBN 978-5-8279-0092-4