Toy Model I‐6: { Δ − 3 , Δ − 2 , Δ − 1 , Δ 0 , Δ 1 , Δ 2 , Δ 3 } | part of Discrete Taylor Transform and Inverse Transform | Wiley-IEEE Press books | IEEE Xplore

Toy Model I‐6: { Δ − 3 , Δ − 2 , Δ − 1 , Δ 0 , Δ 1 , Δ 2 , Δ 3 }


Chapter Abstract:

Summary This chapter introduces Discrete Taylor Transform and Inverse Transform (D‐TTIT) and authentically shares its historical development with the reader. It is concer...Show More

Chapter Abstract:

Summary

This chapter introduces Discrete Taylor Transform and Inverse Transform (D‐TTIT) and authentically shares its historical development with the reader. It is concerned with toy models involving univariate functions. The toy model in this chapter considers univariate functions defined on a 7‐points lattice. The ordered lattice points are permitted to be distributed non‐uniformly. D‐TTIT hides the values of the coordinates into their indices during the data processing and reveals their values after the process has been completed. These properties along with the symmetry relationships are distinctive features of D‐TTIT. The chapter helps the readers to acquire a general understanding of transforms and inverse transform techniques. Further research work is necessary to investigate possible additional hidden properties in D‐TTIT and their utilization.

Page(s): 207 - 229
Copyright Year: 2025
Edition: 1
ISBN Information:

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