Algorithms (Can an algorithm solve any problem?).

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Presentation transcript:

Algorithms (Can an algorithm solve any problem?)

Algorithms (Can an algorithm solve any problem?) Can algorithms for these problems be written? Determine what is Art. An algorithm that will tell whether another algorithm will work. Predict the future. Work out our origins. Create a model for the ideal human being. (Non-algorithmic)

Algorithms (Can an algorithm solve any problem?) Now consider these problems.. Predicting the weather forecast. Determining the genes that are involved in genetic diseases. Making an economic forecast for troubled countries. Controlling a manufacturing process from beginning to end without human intervention (Algorithmic)

Algorithms (Can an algorithm solve any problem?) What’s the difference between: Algorithmic Non-algorithmic Algorithms Algorithmic contain finite sets of legal inputs. Non-algorithmic contain infinite sets of legal inputs. Therefore, there are certain limits placed on what computers can do.