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The main purpose of a problem statement is to identify and explain the problem. [3] [4] Another function of the problem statement is as a communication device. [3] Before the project begins, stakeholders verify the problem and goals are accurately described in the problem statement. Once approved, the project reviews it.
A bachelor's thesis is often 40–60 pages long, a diploma thesis and a master's thesis usually 60–100. The required submission for a doctorate is called a Dissertation or Doktorarbeit . The submission for a Habilitation , which is an academic qualification, not an academic degree, is called Habilitationsschrift , not Habilitationsarbeit .
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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 "thesis statement" comes from the concept of a thesis (θέσῐς, thésis) as it was articulated by Aristotle in Topica. Aristotle's definition of a thesis is "a conception which is contrary to accepted opinion." He also notes that this contrary view must come from an informed position; not every contrary view is a thesis. [3]
When the research is complete and the researcher knows the (probable) answer to the research question, writing up can begin (as distinct from writing notes, which is a process that goes on through a research project). In term papers, the answer to the question is normally given in summary in the introduction in the form of a thesis statement.
A trial solution to a problem is commonly referred to as a hypothesis—or, often, as an "educated guess" [14] [2] —because it provides a suggested outcome based on the evidence. However, some scientists reject the term "educated guess" as incorrect. Experimenters may test and reject several hypotheses before solving the problem.
Under Cobham's thesis, a problem for which the best algorithm takes n 200 instructions is considered feasible, and a problem with an algorithm that takes 2 0.00001 n instructions infeasible—even though one could never solve an instance of size n = 2 with the former algorithm, whereas an instance of the latter problem of size n = 10 6 could be ...
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