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Optimization - To find a minimum of a given objective function within the given interval using the golden section search method.

What is the relationship between the Golden Section Search and Fibonacci sequence?

a: There is no relationship between the two Explanation

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b: The Golden Section Search converges at a rate equal to the Fibonacci sequence Explanation

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c: The Golden Section Search is based on the Fibonacci sequence Explanation

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d: The Golden Section Search uses Fibonacci numbers to determine the search interval Explanation

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The interval of uncertainty is reduced by a factor of approximately _______ in each iteration of the Golden Section Search.

a: 0.25 Explanation

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b: 0.382 Explanation

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c: 0.5 Explanation

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d: 0.618 Explanation

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What is the primary objective of the Golden Section Search method?

a: Maximizing the function Explanation

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b: Minimizing the function Explanation

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c: Approximating the function Explanation

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d: Finding the derivative Explanation

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The Golden Section Search method operates by:

a: Dividing the interval into equal parts Explanation

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b: Using a fixed step size Explanation

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c: Adjusting the interval size dynamically Explanation

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d: Randomly selecting points Explanation

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The Golden Section Search method is an example of a:

a: Gradient-based optimization method Explanation

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b: Stochastic optimization method Explanation

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c: Direct search method Explanation

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d: Simulated annealing method Explanation

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During the iterations of Golden Section Search, which intervals are typically considered?

a: The interval is not updated Explanation

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b: Only the midpoint interval Explanation

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c: Both intervals on either side of the current best points Explanation

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d: Only the interval containing the current minimum value Explanation

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