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May
14
comment Tangent of a sine - can it disprove the marginal value theorem?
@ChristianBlatter the only real mathematical question here is whether a scaled sine will yield the same tangent points. The marginal value theorem is a theorem and has been demonstrated in other walks of life, such as online user behaviour (the time users spend on a site correlates to the time they assume it will take them to find the information elsewhere, as the MVT predict).
May
14
comment Tangent of a sine - can it disprove the marginal value theorem?
@WillieWong Divide by 4 means instead of y=sin(x) you have y = sin(x)/4. As for your other points - it makes perfect sense; yet it is possible that on one patch the curve will look like this, but on another patch the food is much sparser - in turn, this will scale down the curve, and one possibility is that the tangent will still yield the same optimal time. So two patches, the second twice as sparse as the first, yet the optimal time is the same - doesn't seem to follow.
May
14
asked Tangent of a sine - can it disprove the marginal value theorem?
Jan
28
awarded  Student
Jan
28
asked What is the chance a random set of length L will be repeat itself in a random set of length M, where each number has X possible values?
Jun
15
awarded  Supporter