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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
199093 changed files with 3378972 additions and 0 deletions
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4
Task/Average-loop-length/J/average-loop-length-1.j Normal file
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@ -0,0 +1,4 @@
(~.@, {&0 0@{:)^:_] 0
0
(~.@, {&0 0@{:)^:_] 1
1 0

2
Task/Average-loop-length/J/average-loop-length-2.j Normal file
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@ -0,0 +1,2 @@
0 0 ([: # (] ~.@, {:@] { [)^:_) 1
2

5
Task/Average-loop-length/J/average-loop-length-3.j Normal file
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@ -0,0 +1,5 @@
(#.inv i.@^~)2
0 0
0 1
1 0
1 1

12
Task/Average-loop-length/J/average-loop-length-4.j Normal file
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@ -0,0 +1,12 @@
(+/ % #)@,@((#.inv i.@^~) ([: # (] ~.@, {:@] { [)^:_)"1 0/ i.)1
1
(+/ % #)@,@((#.inv i.@^~) ([: # (] ~.@, {:@] { [)^:_)"1 0/ i.)2
1.5
(+/ % #)@,@((#.inv i.@^~) ([: # (] ~.@, {:@] { [)^:_)"1 0/ i.)3
1.88889
(+/ % #)@,@((#.inv i.@^~) ([: # (] ~.@, {:@] { [)^:_)"1 0/ i.)4
2.21875
(+/ % #)@,@((#.inv i.@^~) ([: # (] ~.@, {:@] { [)^:_)"1 0/ i.)5
2.5104
(+/ % #)@,@((#.inv i.@^~) ([: # (] ~.@, {:@] { [)^:_)"1 0/ i.)6
2.77469

3
Task/Average-loop-length/J/average-loop-length-5.j Normal file
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ana=: +/@(!@[ % !@- * ^) 1+i.
ana"0]1 2 3 4 5 6
1 1.5 1.88889 2.21875 2.5104 2.77469

3
Task/Average-loop-length/J/average-loop-length-6.j Normal file
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sim=: (+/ % #)@,@((]?@$~1e4,]) ([: # (] ~.@, {:@] { [)^:_)"1 0/ i.)
sim"0]1 2 3 4 5 6
1 1.5034 1.8825 2.22447 2.51298 2.76898

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Task/Average-loop-length/J/average-loop-length-7.j Normal file
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(;:'N average analytic error'),:,.each(;ana"0 ([;];-|@%[) sim"0)1+i.20
+--+-------+--------+-----------+
|N |average|analytic|error |
+--+-------+--------+-----------+
| 1| 1| 1 | 0|
| 2| 1.5|1.49955 | 0.0003|
| 3|1.88889| 1.8928 | 0.00207059|
| 4|2.21875|2.23082 | 0.00544225|
| 5| 2.5104|2.52146 | 0.00440567|
| 6|2.77469|2.78147 | 0.00244182|
| 7|3.01814| 3.0101 | 0.00266346|
| 8|3.24502|3.25931 | 0.00440506|
| 9|3.45832|3.45314 | 0.00149532|
|10|3.66022| 3.6708 | 0.00289172|
|11|3.85237|3.84139 | 0.00285049|
|12|4.03607|4.03252 |0.000881304|
|13|4.21235|4.18358 | 0.00682833|
|14|4.38203|4.38791 | 0.00134132|
|15|4.54581|4.54443 |0.000302246|
|16|4.70426|4.71351 | 0.00196721|
|17|4.85787|4.85838 |0.000104089|
|18|5.00706|5.00889 |0.000365752|
|19| 5.1522|5.14785 |0.000843052|
|20|5.29358|5.28587 | 0.00145829|
+--+-------+--------+-----------+