SageMath - Buffon Needle
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Could you help me with solving the following problem in SageMath? It's a plot related assignment. Would be grateful if somebody could help me.
Buffon's needle problem models the following experiment. We drop n needles of length l onto a plane onto which infinitely many parallel lines are drawn at distance d from each other. We assume that l < d. We assume that the both the position where the needle lands and the angle at which it points is random. It is known that the probability of a needle hitting some line is 2l/dπ. Make a function that performs the experiment with the specified parameters and calculates the observed frequency of needles hitting a line. Also make a drawing with different colors assigned to lucky and unlucky needles. Look up Buffon's needle drop experiment for details.
sage
asked Nov 16 '18 at 21:55
Tamás ShaneTamás Shane
11
add a comment |
Could you help me with solving the following problem in SageMath? It's a plot related assignment. Would be grateful if somebody could help me.
Buffon's needle problem models the following experiment. We drop n needles of length l onto a plane onto which infinitely many parallel lines are drawn at distance d from each other. We assume that l < d. We assume that the both the position where the needle lands and the angle at which it points is random. It is known that the probability of a needle hitting some line is 2l/dπ. Make a function that performs the experiment with the specified parameters and calculates the observed frequency of needles hitting a line. Also make a drawing with different colors assigned to lucky and unlucky needles. Look up Buffon's needle drop experiment for details.
sage
asked Nov 16 '18 at 21:55
Tamás ShaneTamás Shane
11
What have you tried? Where are you stuck?
– Samuel Lelièvre
Nov 30 '18 at 0:01
add a comment |
Could you help me with solving the following problem in SageMath? It's a plot related assignment. Would be grateful if somebody could help me.
Buffon's needle problem models the following experiment. We drop n needles of length l onto a plane onto which infinitely many parallel lines are drawn at distance d from each other. We assume that l < d. We assume that the both the position where the needle lands and the angle at which it points is random. It is known that the probability of a needle hitting some line is 2l/dπ. Make a function that performs the experiment with the specified parameters and calculates the observed frequency of needles hitting a line. Also make a drawing with different colors assigned to lucky and unlucky needles. Look up Buffon's needle drop experiment for details.
sage
asked Nov 16 '18 at 21:55
Tamás ShaneTamás Shane
11
Could you help me with solving the following problem in SageMath? It's a plot related assignment. Would be grateful if somebody could help me.
Buffon's needle problem models the following experiment. We drop n needles of length l onto a plane onto which infinitely many parallel lines are drawn at distance d from each other. We assume that l < d. We assume that the both the position where the needle lands and the angle at which it points is random. It is known that the probability of a needle hitting some line is 2l/dπ. Make a function that performs the experiment with the specified parameters and calculates the observed frequency of needles hitting a line. Also make a drawing with different colors assigned to lucky and unlucky needles. Look up Buffon's needle drop experiment for details.
sage
sage
asked Nov 16 '18 at 21:55
Tamás ShaneTamás Shane
11
asked Nov 16 '18 at 21:55
Tamás ShaneTamás Shane
11
asked Nov 16 '18 at 21:55
Tamás ShaneTamás Shane
11
asked Nov 16 '18 at 21:55
Tamás ShaneTamás Shane
11
asked Nov 16 '18 at 21:55
Tamás ShaneTamás Shane
11
11
What have you tried? Where are you stuck?
– Samuel Lelièvre
Nov 30 '18 at 0:01
add a comment |
What have you tried? Where are you stuck?
– Samuel Lelièvre
Nov 30 '18 at 0:01
What have you tried? Where are you stuck?
– Samuel Lelièvre
Nov 30 '18 at 0:01
What have you tried? Where are you stuck?
– Samuel Lelièvre
Nov 30 '18 at 0:01
add a comment |
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What have you tried? Where are you stuck?
– Samuel Lelièvre
Nov 30 '18 at 0:01