Problem 179. Monte-Carlo integration
I'm confused by the 3rd test case. Can the integral inside an n-dimensional hypercube really be greater than 1?
In my comment, I mean an n-dimensional UNIT hypercube, which is what you integration limits impose.
Of course. It depends on the integrand. Even in 1d, if the integrand is e.g. 10x, the result will be 5.
I was confused. Thanks for clarifying.
I found it helpful to think about the problem as involving d+1 dimensions: the d dimensions of the input variables, and one more dimension for the (scalar) output variable. —DIV
This problem makes no sense. fun = @(x) x(1)*x(2) needs two inputs. You do not provide enough information for a solution.
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Return the 3n+1 sequence for n
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