In the era of cloud computing, data is processed i n a "Cloud", and data and its dependencies between systems or functi ons progress and change constantly within the cloud, as a user's requiremen ts change. Such information worlds are called cyberworlds. We need a more powerful mathematical background which can model the cyberworlds in the "cloud" as they are. We consider the Incrementally Modular Abstraction Hierarchy (IMAH) to be appropriate for modeling the dynamically changing c yberworlds by descending from the most abstract homotopy level to the most s pecific view level, while preserving invariants. We have developed a data pro cessing system called the Cellular Data System (CDS) based on IMAH. In this paper, we introduce numerical value calculation, exponential calculatio n and the processing maps on the presentation level of IMAH into CDS. This fun ction is quite effective in business application development because numerical values and exponential identifiers can be put into formulas and be calcula ted. We show its effectiveness through examples of a calculate syste m for 1. cellular phone charges, and 2. BOMs (bills of materials) used in ma nufacturing.
['Toshio Kodama', 'Yoichi Seki', 'Tosiyasu L. Kunii']
Example of Business Applications Using the Numerical Value and Exponential Calculation of the Cellular Data System