The Application of the Multi-Dimensional Cartesian Space in the Graphic Analysis of the U.S. Gross Domestic Product (GDP)
Mario Arturo Ruiz Estrada
University of Malaya (UM) - FEA
March 1, 2006
FEA Working Paper No. 2006-6
In MD-Cartesian space (see Ruiz, 2005) consists of five axes ([X1, X2, X3, X4], Y), representing four independent variables "X1", "X2", "X3" and "X4" and one dependent variable "Y" respectively. Each "X" variable (X1, X2, X3, X4) and "Y" variable has its individual axis that is a vertical line with both positive and negative values. The positive and negative values are represented by ([(X1,-X1), (X2,-X2), (X3,-X3) (X4,-X4)], (Y,-Y)] on the MD-Cartesian plane (see Table 1).
In the case of 2-D and 3-D Cartesian plane (see Figure 1), the individual variables can be anywhere along the vertical and horizontal axes; but in the case of MD-Cartesian space all variables (Xi) and the "Y" variable are either on the positive side of respective axes together on the negative side of their respective axes together. In other words, the values of all "Xi" (X1, X2, X3, X4) and "Y" can change in different directions. Therefore, any change in some or all "Xi" will affect "Y" directly.
Representing the dependent variable, the fifth axis, "Y" is positioned in the center of the Graph (among the other four axes). "Y" has a positive value and negative value. It is the convergent point of all the other four axes X1, X2, X3 and X4. In other words, all "Xi" axes converge at the "Y" axis. The result is a graph represented by a plane that can be reshaped into two cubes or one cube.
Number of Pages in PDF File: 11
Keywords: Econographication, Economics methodology
JEL Classification: C82working papers series
Date posted: March 30, 2006 ; Last revised: January 5, 2010
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