Spatial Operations and Map Operations

In this paper we discuss the packing properties of invariant disks defined by periodic behavior of a model for a bandpass Σ–Δ modulator. The periodically coded regions form a packing of the forward invariant phase space by invariant disks. For this one-parameter family of PWIs, by introducing codings underlying the map operations we give explicit expressions for the centers of the disks by analytic functions of the parameters, and then show that tangencies between disks in the packings are very rare; more precisely they occur on parameter values that are at most countably infinite. We indicate how similar results can be obtained for other plane maps that are piecewise isometries.

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Uncertainties Associated with Arithmetic Map Operations in GIS

Anais da Academia Brasileira de Ciências ◽

10.1590/0001-3765201820170589 ◽

2018 ◽

Vol 90 (2 suppl 1) ◽

pp. 2025-2048

Author(s):

JORGE K. YAMAMOTO ◽

ANTÔNIO T. KIKUDA ◽

GUILHERME J. RAMPAZZO ◽

CLAUDIO B.B. LEITE

Keyword(s):

Map Operations

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Attribute error and sensitivity analysis of map operations in geographical informations systems: suitability analysis

International Journal of Geographical Information Systems ◽

10.1080/02693799008941556 ◽

1990 ◽

Vol 4 (4) ◽

pp. 413-428 ◽

Cited By ~ 164

Author(s):

WELDON A. LODWICK ◽

WILLIAM MONSON ◽

LARRY SVOBODA

Keyword(s):

Sensitivity Analysis ◽

Suitability Analysis ◽

Map Operations

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COMPUTING TOPOLOGICAL INDICES OF SiO2 LAYER STRUCTURE AND BENZENOID SERIES

Latin American Applied Research - An international journal ◽

10.52292/j.laar.2019.197 ◽

2019 ◽

Vol 49 (4) ◽

pp. 219-224

Author(s):

M. H. Muhammad ◽

Juan Luis Garcia Guirao ◽

N. A. Rehman ◽

M. K. Siddiqui

Keyword(s):

Strain Energy ◽

Layer Structure ◽

Molecular Graph ◽

Chemical Properties ◽

Chemical Compounds ◽

Topological Indices ◽

Sio2 Layer ◽

Physico Chemical ◽

Forgotten Index ◽

Map Operations

A molecular graph can be transformed using map operations, one of these, named Capra, being defined by Diudea (2005). Topological indices are closely related to the toxicological, physicochemical, pharmacological properties of a chemical compound. These topological indices correlate certain physico-chemical properties like boiling point, stability and strain energy of chemical compounds. In this paper, we focus on the Silicate SiO2 layer structure and the structure of Capra-designed planar benzenoid series , (). We determined Zagreb type indices, Forgotten index, Augmented index and Balaban index for these structures.

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