TY - GEN

T1 - The accounting equation & claims on assets value change

AU - Juárez, Fernando

N1 - Publisher Copyright:
©2016 IEEE.

PY - 2017/1/11

Y1 - 2017/1/11

N2 - The purpose of the study is to analyze the accounting equation and develop a new model, based on the dual concept of monetary units and the structure of assets and claims on assets. The analysis uses the identity and characteristic functions along with a coordinate transformation, to show that the assets-claims on assets relationship involves a change in claims on assets value. The identity function represents the dual concept of the monetary units and the characteristic function relates both sides of the accounting equation. A different number of dimensions arise on each side of the equation, and a coordinate transformation is applied to have both sides of the equation with two dimensions. This transformation results in a change in the value of claims on assets. Finally, a computation using a probability density function or kernel is proposed to allow approaching the coefficients of the new model. Results show that the accounting equation consists of a series of addition functions to sum up all the monetary units and that a new model with a probability density function can help in the analysis of the assetsclaims on assets relationship.

AB - The purpose of the study is to analyze the accounting equation and develop a new model, based on the dual concept of monetary units and the structure of assets and claims on assets. The analysis uses the identity and characteristic functions along with a coordinate transformation, to show that the assets-claims on assets relationship involves a change in claims on assets value. The identity function represents the dual concept of the monetary units and the characteristic function relates both sides of the accounting equation. A different number of dimensions arise on each side of the equation, and a coordinate transformation is applied to have both sides of the equation with two dimensions. This transformation results in a change in the value of claims on assets. Finally, a computation using a probability density function or kernel is proposed to allow approaching the coefficients of the new model. Results show that the accounting equation consists of a series of addition functions to sum up all the monetary units and that a new model with a probability density function can help in the analysis of the assetsclaims on assets relationship.

UR - http://www.scopus.com/inward/record.url?scp=85014300588&partnerID=8YFLogxK

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U2 - 10.1109/MCSI.2016.52

DO - 10.1109/MCSI.2016.52

M3 - Conference contribution

AN - SCOPUS:85014300588

T3 - Proceedings - 2016 3rd International Conference on Mathematics and Computers in Sciences and in Industry, MCSI 2016

SP - 246

EP - 251

BT - Proceedings - 2016 3rd International Conference on Mathematics and Computers in Sciences and in Industry, MCSI 2016

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 3rd International Conference on Mathematics and Computers in Sciences and in Industry, MCSI 2016

Y2 - 27 August 2016 through 29 August 2016

ER -