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Bryan
math math math n' donuts
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Published
By
Bryan
Edited
May 19, 2020
Fork of
Optimal DnD dice rules
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function
d_a2
(
n
,
k
)
{
const
num
=
-
1
*
(
2
*
k
-
1
)
*
(
2
*
(
k
-
1
)
*
k
-
2
*
Math
.
pow
(
n
,
2
)
+
1
)
return
num
/
Math
.
pow
(
n
,
4
)
;
}
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function
a_d2
(
n
,
k
)
{
const
num
=
(
2
*
k
-
2
*
n
-
1
)
*
(
2
*
Math
.
pow
(
k
,
2
)
-
4
*
n
*
k
-
2
*
k
+
2
*
n
+
1
)
return
num
/
Math
.
pow
(
n
,
4
)
;
}
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function
lower_bound_prob
(
f
,
faces
,
lower_bound
)
{
return
[
...
Array
(
faces
)
.
keys
(
)
]
.
filter
(
x
=>
x
>=
lower_bound
-
1
)
.
map
(
x
=>
f
(
faces
,
x
+
1
)
)
.
reduce
(
(
a
,
b
)
=>
a
+
b
,
0
)
}
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function
upper_bound_prob
(
f
,
faces
,
upper_bound
)
{
return
[
...
Array
(
faces
)
.
keys
(
)
]
.
filter
(
x
=>
x
<=
upper_bound
-
1
)
.
map
(
x
=>
f
(
faces
,
x
+
1
)
)
.
reduce
(
(
a
,
b
)
=>
a
+
b
,
0
)
}
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function
expected_value
(
f
,
faces
)
{
return
[
...
Array
(
faces
)
.
keys
(
)
]
.
map
(
x
=>
f
(
faces
,
x
+
1
)
*
(
x
+
1
)
)
.
reduce
(
(
a
,
b
)
=>
a
+
b
,
0
)
}
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import
{
slider
,
text
}
from
"@jashkenas/inputs"
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N
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a_d2
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lower_bound_prob
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expected_value
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direct_expected_value_d_a2
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