Leaders, directors and managers of technical projects, especially at the early stages of analysis and design, must address a variety of pivotal problems or challenges, often without being sure of how to solve them or the level of difficulty entailed.
A mathematical model is a representation of the key characteristics and attributes of an existing or potential system or application which presents information about the make-up of the system by breaking it down into its usable components for examination.
Frequently, systems are analyzed in an effort to control, remediate, or optimize their performance. A mathematical model facilitates the analysis by building a model that describes how the system works, or might work, given other physical factors, or the impact of an unplanned issue or problem.
At STAR, we work with information intensive industries that require specialized mathematical modeling expertise to solve complex business problems. We work through a process of “what ifs” that help you understand the various implications of change. We create a model that tests the various possibilities, and create the path to a solution for the most complex questions:
Working hand-in-hand with business problem owners, we help accelerate the solution process in information intensive industries - ranging from aerospace, manufacturing, mapping, and surveillance to printing and neurosurgery.
- How did this item come to look like it does?
- What does that say about how to design it better?
- Given current circumstances or environment, how should we handle it now?
We have specialized expertise in complex systems, those with strongly interacting parts; in image and signal processing, and in knowledge-based (objective) speech analysis, utilizing MATLAB®.
Why mathematical modeling?
Mathematical modeling translates identified issues or problems within a system and breaks it down into usable, mathematical formulations which through mathematical theory and analysis provide another way of looking at the system. The end goal is to gain deeper insight into the system, and to formulate potential ideas and solutions. It generally moves through these phases:
• Precise breakdown of the problem.
• A complete and thorough understanding of the system that is being modeled.
• Creating a pathway for improved design or control.
Typical Modeling Applications
• Image interpretation
• Image processing
• Speech recognition
• Optical character recognition
• Planning of production units
• Electronic structure calculations
• Finger print recognition
• Microchip analysis
• Risk analysis
• Microchip production