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is used. This well-known method was published by the German mathematician Wilhelm Kutta in 1901, after Karl Heun had found a three-step one-step method of order 3 a year earlier. [19] The construction of explicit methods of even higher order with the smallest possible number of steps is a mathematically quite demanding problem.
where P is the population of the state, and n is the number of seats it currently holds before the possible allocation of the next seat. Consider the reapportionment following the 2010 U.S. census: after every state is given one seat: The largest value of A 1 corresponds to the largest state, California, which is allocated seat 51.
This approach can be seen as one of the two basic approaches to problem-solving, contrasted with an approach using insight and theory. However, there are intermediate methods that, for example, use theory to guide the method, an approach known as guided empiricism .
An inference technique can validate the candidate answers. A score is then given to each of these candidates according to the number of question words it contains and how close these words are to the candidate—the more and the closer the better. The answer is then translated by parsing into a compact and meaningful representation.
Single Best Answer (SBA or One Best Answer) is a written examination form of MCQ used extensively in medical education. [3] This form, from which the candidate must choose the best answer, has been distinguished from Single Correct Answer forms, which can produce confusion where more than one of the possible answers has some validity.
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Greedy algorithms fail to produce the optimal solution for many other problems and may even produce the unique worst possible solution. One example is the travelling salesman problem mentioned above: for each number of cities, there is an assignment of distances between the cities for which the nearest-neighbour heuristic produces the unique ...
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