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ADAM — Introduction Advanced Dimensional Analysis Module |
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ADAM is a program which helps you utilize the power of two representation theorems namely π theorem and Wang theorem. Both of these astonishing results are important in the area of modeling physical as well as some non-physical processes in particular whenever the examined phenomenon uses unit system or geometrical notions with specific invariance properties. Although exact content of mentioned theorems is relatively simple to state applying them means a lot of operations which can be fully automated.
This program is meant for amateurs and professionals alike in the field of dimensional analysis. It can quickly calculate the form of the function describing process consistent with π and Wang theorem. The latter is used for processes described by tensor quantities and fulfills invariance with respect to rotations of the frame of reference. The first one describes the general form of the function where quantities involved are dimensional quantities (numbers and units of a specific unit system) and fulfill dimensional invariance property.
This manual is divided as follows. First refer to Installation section where you will find links and guides for installing ADAM software on your computer. In section Theoretical background we cite definitions and theorems of the dimensional analysis. Some simple explanations and examples are given (obviously proofs are not included!). Skip that section if you find yourself an expert in the field. If the opposite hold true reading this section will give you a brief outlook of the actual purpose of this program. Other sections link theoretical notions with program user interface and hence we have sections for user input (see Defining dimensional space) and output data (see. Handling results). User input is all about defining you own unit system, defining quantities and process itself while the result section address the issue of handling many dimensional bases.
Last but not least in section tutorials you fill find a few problems with step by step solutions.