# The Application of the Multi-Dimensional Cartesian Space in the Graphic Analysis of the U.S. Gross Domestic Product (GDP)

University of Malaya (UM) - FEA

March 1, 2006

FEA Working Paper No. 2006-6

Abstract:
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: C82

working papers series

#### Suggested Citation

Ruiz Estrada, Mario Arturo, The Application of the Multi-Dimensional Cartesian Space in the Graphic Analysis of the U.S. Gross Domestic Product (GDP) (March 1, 2006). FEA Working Paper No. 2006-6. Available at SSRN: http://ssrn.com/abstract=892520 or http://dx.doi.org/10.2139/ssrn.892520

#### Contact Information

##### Mario Arturo Ruiz Estrada (Contact Author)
University of Malaya (UM) - FEA ( email )
Econographication Virtual Laboratory (EVL)
Kuala Lumpur, Kuala Lumpur 50603
Malaysia
006012-6850293 (Phone)