A problem P can be defined as a situation or scenario where a particular system, device, or process is not performing as desired, leading to suboptimal or undesired outcomes. In a design & engineering context, P is typically framed in terms of:
Vector of Parameters: This is a set of variables or conditions that characterize the system or scenario. They can be input conditions, system states, or any other relevant metrics that describe the system.
Objective Function: This is a mathematical function that quantifies how far the current system's performance is from the desired performance. The goal is usually to minimize or maximize this function.
Constraints: These are the bounds or limitations within which the system operates. In engineering problems, constraints can arise from physical limitations, safety requirements, budgetary restrictions, etc. The solution must satisfy these constraints.
The Hilbert Problems are a set of 23 mathematical challenges presented by the German mathematician David Hilbert in 1900. Aimed at defining future research directions, these pro...
Divide in couples and discuss with Your colleagues cases when You use the word problem in daily life. Pose Yourself questions like "What was the last problem I solved ?", "What ...
The Millennium Problems are seven mathematical challenges established by the Clay Mathematics Institute in 2000, each with a prize of one million dollars for a correct solution....
No Definitive Formulation
No Stopping Rule
Solutions Are Not True-or-False
No Immediate and No Ultimate Test
Every Solution is a 'One-Shot Operation'
No Enumerable (or Exhaustiv...
This is the set of problem(s) to which I expose all my D&C students since AE50.Hopefully, at least 1 will be "solved" during my lifetime, 2 during Your lifetime and 3 during lif...
