This file contains some example of procedure Seq1AsyV
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S is, {-1, 1}
FAIL
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S is, {-2, -1, 1, 2}
The Asympotics of a Gambler's Chance of Never being in debt after n rolls wi\
th a fair die whose faces are, {-2, -1, 1, 2}
By Shalosh B. Ekhad
Consider a gambler who rolls a, 4,
-sided fair die , hence with each side lending with probability, 1/4
If the amount is positive he gets the indicated number of dollars, and if i\
t is negative
he has to pay the absolute value of the number shown.
He gets kicked out of the casino as soon as as he is in debt.
The estimated asymptotic expression of his probability of surviving n rolls \
of the die (to order (in n)), 1, is
0.234009821652
0.697376677462 - --------------
n
-------------------------------
1/2
n
and in Maple input format:
1/n^(1/2)*(.697376677462-.234009821652/n)
This took , 23.662, seconds.
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S is, {-2, -1, 3}
The Asympotics of a Gambler's Chance of Never being in debt after n rolls wi\
th a fair die whose faces are, {-2, -1, 3}
By Shalosh B. Ekhad
Consider a gambler who rolls a, 3,
-sided fair die , hence with each side lending with probability, 1/3
If the amount is positive he gets the indicated number of dollars, and if i\
t is negative
he has to pay the absolute value of the number shown.
He gets kicked out of the casino as soon as as he is in debt.
The estimated asymptotic expression of his probability of surviving n rolls \
of the die (to order (in n)), 1, is
0.145353382527
0.528227746363 - --------------
n
-------------------------------
1/2
n
and in Maple input format:
1/n^(1/2)*(.528227746363-.145353382527/n)
This took , 23.689, seconds.
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S is, {-3, 1, 2}
The Asympotics of a Gambler's Chance of Never being in debt after n rolls wi\
th a fair die whose faces are, {-3, 1, 2}
By Shalosh B. Ekhad
Consider a gambler who rolls a, 3,
-sided fair die , hence with each side lending with probability, 1/3
If the amount is positive he gets the indicated number of dollars, and if i\
t is negative
he has to pay the absolute value of the number shown.
He gets kicked out of the casino as soon as as he is in debt.
The estimated asymptotic expression of his probability of surviving n rolls \
of the die (to order (in n)), 1, is
0.249122178582
0.777642346257 - --------------
n
-------------------------------
1/2
n
and in Maple input format:
1/n^(1/2)*(.777642346257-.249122178582/n)
This took , 37.277, seconds.
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S is, {-3, -1, 4}
The Asympotics of a Gambler's Chance of Never being in debt after n rolls wi\
th a fair die whose faces are, {-3, -1, 4}
By Shalosh B. Ekhad
Consider a gambler who rolls a, 3,
-sided fair die , hence with each side lending with probability, 1/3
If the amount is positive he gets the indicated number of dollars, and if i\
t is negative
he has to pay the absolute value of the number shown.
He gets kicked out of the casino as soon as as he is in debt.
The estimated asymptotic expression of his probability of surviving n rolls \
of the die (to order (in n)), 1, is
0.12329484697
0.519525965674 - -------------
n
------------------------------
1/2
n
and in Maple input format:
1/n^(1/2)*(.519525965674-.12329484697/n)
This took , 29.993, seconds.
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S is, {-4, 1, 3}
The Asympotics of a Gambler's Chance of Never being in debt after n rolls wi\
th a fair die whose faces are, {-4, 1, 3}
By Shalosh B. Ekhad
Consider a gambler who rolls a, 3,
-sided fair die , hence with each side lending with probability, 1/3
If the amount is positive he gets the indicated number of dollars, and if i\
t is negative
he has to pay the absolute value of the number shown.
He gets kicked out of the casino as soon as as he is in debt.
The estimated asymptotic expression of his probability of surviving n rolls \
of the die (to order (in n)), 1, is
0.17847921752
0.747544127486 - -------------
n
------------------------------
1/2
n
and in Maple input format:
1/n^(1/2)*(.747544127486-.17847921752/n)
This took , 49.545, seconds.