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A problem statement is a description of an issue to be addressed. or a condition to be improved upon. It identifies the gap between the current problem and goal. The first condition of solving a problem is understanding the problem, which can be done by way of a problem statement. [ 1]
Shortest path problem. Shortest path (A, C, E, D, F) between vertices A and F in the weighted directed graph. In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized. The problem of finding the shortest path ...
An example of a normative economic statement is as follows: The price of milk should be $6 a gallon to give dairy farmers a higher standard of living. This is a normative statement, because it reflects value judgments. This specific statement makes the judgment that farmers deserve a higher living standard and that family farms ought to be ...
Another related problem is the bottleneck travelling salesman problem: Find a Hamiltonian cycle in a weighted graph with the minimal weight of the weightiest edge. A real-world example is avoiding narrow streets with big buses. [15] The problem is of considerable practical importance, apart from evident transportation and logistics areas.
Birthday paradox: In a random group of only 23 people, there is a better than 50/50 chance two of them have the same birthday. Borel's paradox: Conditional probability density functions are not invariant under coordinate transformations. Boy or Girl paradox: A two-child family has at least one boy.
e. Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from simple personal tasks (e.g. how to turn on an appliance) to complex issues in business and technical fields. The former is an example of simple problem solving (SPS) addressing one issue ...
Optimization problem. In mathematics, engineering, computer science and economics, an optimization problem is the problem of finding the best solution from all feasible solutions . Optimization problems can be divided into two categories, depending on whether the variables are continuous or discrete: An optimization problem with discrete ...
For example, the Navier–Stokes equations are often used to model fluid flows that are turbulent, which means that the fluid is highly chaotic and unpredictable. Turbulence is a difficult phenomenon to model and understand, and it adds another layer of complexity to the problem of solving the Navier–Stokes equations.