### Abstract

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.

Original language | English (US) |
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Title of host publication | Proceedings - 2016 3rd International Conference on Mathematics and Computers in Sciences and in Industry, MCSI 2016 |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 246-251 |

Number of pages | 6 |

ISBN (Electronic) | 9781509009732 |

DOIs | |

State | Published - Jan 11 2017 |

Event | 3rd International Conference on Mathematics and Computers in Sciences and in Industry, MCSI 2016 - Chania, Greece Duration: Aug 27 2016 → Aug 29 2016 |

### Conference

Conference | 3rd International Conference on Mathematics and Computers in Sciences and in Industry, MCSI 2016 |
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Country | Greece |

City | Chania |

Period | 8/27/16 → 8/29/16 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Management Information Systems
- Computer Networks and Communications
- Computer Science Applications
- Computer Vision and Pattern Recognition
- Hardware and Architecture
- Control and Systems Engineering
- Control and Optimization
- Modeling and Simulation

### Cite this

*Proceedings - 2016 3rd International Conference on Mathematics and Computers in Sciences and in Industry, MCSI 2016*(pp. 246-251). [7815153] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MCSI.2016.053