Precision Estimation Technique Using Randomly Dropped Sticks
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Problem no. 1
ROSE SADEGHI
IRAN A TEAM
Draw a series of parallel equally spaced lines on a horizontal surface. Pick a bunch of
sticks (e.g.matches or needles) slightly
shorter or longer than the separation between the
lines
, and
randomly
drop them on the surface. It is claimed that the number of times the
sticks cross the lines allows estimating the constant
π
π
to a high precision. What accuracy
can you achieve?
How did you drop the needles ?
How did you get errors ?
Was your distance between lines the same ? (slide 8)
why Angle is effective ? Why it is not in your formula ?
Is it happened two needle fall on each other?
Is it happened one needle cut two line?
Did you measure the height of throw needles?
Cons
Her method was not correct
It was better for her to drop the sticks with each other
She did not explain her formula
Pros
She had chart
She tried her test a lot
Create a series of parallel lines on a surface and randomly drop sticks, estimating precision based on the number of crossings. Explore the effects of dropping area, error sources, and the importance of angle. Improve accuracy by refining dropping techniques. Evaluate a method's pros and cons through charts and testing efforts.
Uploaded on Sep 15, 2024 | 0 Views
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Presentation Transcript
Problem no. 1 ROSE SADEGHI IRAN A TEAM
Draw a series of parallel equally spaced lines on a horizontal surface. Pick a bunch of sticks (e.g.matches or needles) slightly shorter or longer than the separation between the lines, and randomly drop them on the surface. It is claimed that the number of times the sticks cross the lines allows estimating the constant to a high precision. What accuracy can you achieve?
What is the effects of the area that we drop the needles on it on our experiments? What should we do to make the accurate of? higher?
How did you drop the needles ? How did you get errors ? Was your distance between lines the same ? (slide 8) why Angle is effective ? Why it is not in your formula ? Is it happened two needle fall on each other? Is it happened one needle cut two line? Did you measure the height of throw needles?
Cons Her method was not correct It was better for her to drop the sticks with each other She did not explain her formula
Pros She had chart She tried her test a lot
