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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]
The answer to a research question will help address a research problem or question. [5] Specifying a research question, "the central issue to be resolved by a formal dissertation , thesis , or research project," [ 6 ] is typically one of the first steps an investigator takes when undertaking research.
Most research begins with a general statement of the problem, or rather, the purpose for engaging in the study. [34] The literature review identifies flaws or holes in previous research which provides justification for the study. Often, a literature review is conducted in a given subject area before a research question is identified. A gap in ...
A research statement is a summary of research achievements and a proposal for upcoming research. It often includes both current aims and findings, and future goals. Research statements are usually requested as part of a relevant job application process, and often assist in the identification of appropriate applicants.
The former is an example of simple problem solving (SPS) addressing one issue, whereas the latter is complex problem solving (CPS) with multiple interrelated obstacles. [1] Another classification of problem-solving tasks is into well-defined problems with specific obstacles and goals, and ill-defined problems in which the current situation is ...
The problem for graphs is NP-complete if the edge lengths are assumed integers. The problem for points on the plane is NP-complete with the discretized Euclidean metric and rectilinear metric. The problem is known to be NP-hard with the (non-discretized) Euclidean metric. [3]: ND22, ND23
Examples include finding a perfect strategy for chess positions on an N × N board [15] and similar problems for other board games. [16] The problem of deciding the truth of a statement in Presburger arithmetic requires even more time.
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.