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Correctly defining the return of a procedure


Why should I avoid the For loop in Mathematica?Defining a string based sort functionDefining functions in a loopReturn value of Reap when using tagsHow to define even permutations correctly?How to exclude some indices in defining Table?How to make a repetive procedure with LinearModelFitTable with List iterator return unpacked listreverse procedure of KroneckerProductDefine the substitution procedure as a functionRebuild a vector defining the sign of the elements













3












$begingroup$


I am sort of new to mathematica and I am struggling with how to correctly set the return of a specific function which is a procedure.



I am give the following task:
Given the map $x_n+1 = r x_n (1-x_n)$:



1- set $x_0 = 0.5$



2- write a function $f(r)$ which evaluates the first 1000 terms fo the sequence, takes the last 100 and then selects distinct elements.



This is what I came up with so far



x[0] = 0.5
f[r_]:=
l = Table[0,1000]; (*init table of 1000 elems*)
l[[1]] = x[0]; (*set x_0*)
For[n=1,n<1000,n++,

x[n] = r * x[n-1] *(1-x[n-1]); (*evaluate x_n*)
l[[n+1]] = x[n]; (*set nth elem of list*)

];
l= Union[Take[l, -100]] (*modify list*)
Return[l] (*return list*)



but this does not work at all. thanks tho everyone who is keen to partecipate and give some suggestion :)










share|improve this question







New contributor




JacquesLeen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$







  • 1




    $begingroup$
    Curly braces are for lists, not for code blocks. Use Module, Block, or With for code blocks. And try not to use For.
    $endgroup$
    – Roman
    15 hours ago






  • 1




    $begingroup$
    Why should I avoid the For loop in Mathematica?
    $endgroup$
    – corey979
    14 hours ago










  • $begingroup$
    Return doesn't do what you think it does. Don't use it until you understand it. Once you understand it, you'll probably never use it.
    $endgroup$
    – John Doty
    13 hours ago










  • $begingroup$
    You might also look into Nest and NestList as an alternative, built-in way to iterate this map.
    $endgroup$
    – Chris K
    13 hours ago















3












$begingroup$


I am sort of new to mathematica and I am struggling with how to correctly set the return of a specific function which is a procedure.



I am give the following task:
Given the map $x_n+1 = r x_n (1-x_n)$:



1- set $x_0 = 0.5$



2- write a function $f(r)$ which evaluates the first 1000 terms fo the sequence, takes the last 100 and then selects distinct elements.



This is what I came up with so far



x[0] = 0.5
f[r_]:=
l = Table[0,1000]; (*init table of 1000 elems*)
l[[1]] = x[0]; (*set x_0*)
For[n=1,n<1000,n++,

x[n] = r * x[n-1] *(1-x[n-1]); (*evaluate x_n*)
l[[n+1]] = x[n]; (*set nth elem of list*)

];
l= Union[Take[l, -100]] (*modify list*)
Return[l] (*return list*)



but this does not work at all. thanks tho everyone who is keen to partecipate and give some suggestion :)










share|improve this question







New contributor




JacquesLeen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$







  • 1




    $begingroup$
    Curly braces are for lists, not for code blocks. Use Module, Block, or With for code blocks. And try not to use For.
    $endgroup$
    – Roman
    15 hours ago






  • 1




    $begingroup$
    Why should I avoid the For loop in Mathematica?
    $endgroup$
    – corey979
    14 hours ago










  • $begingroup$
    Return doesn't do what you think it does. Don't use it until you understand it. Once you understand it, you'll probably never use it.
    $endgroup$
    – John Doty
    13 hours ago










  • $begingroup$
    You might also look into Nest and NestList as an alternative, built-in way to iterate this map.
    $endgroup$
    – Chris K
    13 hours ago













3












3








3





$begingroup$


I am sort of new to mathematica and I am struggling with how to correctly set the return of a specific function which is a procedure.



I am give the following task:
Given the map $x_n+1 = r x_n (1-x_n)$:



1- set $x_0 = 0.5$



2- write a function $f(r)$ which evaluates the first 1000 terms fo the sequence, takes the last 100 and then selects distinct elements.



This is what I came up with so far



x[0] = 0.5
f[r_]:=
l = Table[0,1000]; (*init table of 1000 elems*)
l[[1]] = x[0]; (*set x_0*)
For[n=1,n<1000,n++,

x[n] = r * x[n-1] *(1-x[n-1]); (*evaluate x_n*)
l[[n+1]] = x[n]; (*set nth elem of list*)

];
l= Union[Take[l, -100]] (*modify list*)
Return[l] (*return list*)



but this does not work at all. thanks tho everyone who is keen to partecipate and give some suggestion :)










share|improve this question







New contributor




JacquesLeen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




I am sort of new to mathematica and I am struggling with how to correctly set the return of a specific function which is a procedure.



I am give the following task:
Given the map $x_n+1 = r x_n (1-x_n)$:



1- set $x_0 = 0.5$



2- write a function $f(r)$ which evaluates the first 1000 terms fo the sequence, takes the last 100 and then selects distinct elements.



This is what I came up with so far



x[0] = 0.5
f[r_]:=
l = Table[0,1000]; (*init table of 1000 elems*)
l[[1]] = x[0]; (*set x_0*)
For[n=1,n<1000,n++,

x[n] = r * x[n-1] *(1-x[n-1]); (*evaluate x_n*)
l[[n+1]] = x[n]; (*set nth elem of list*)

];
l= Union[Take[l, -100]] (*modify list*)
Return[l] (*return list*)



but this does not work at all. thanks tho everyone who is keen to partecipate and give some suggestion :)







list-manipulation






share|improve this question







New contributor




JacquesLeen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|improve this question







New contributor




JacquesLeen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|improve this question




share|improve this question






New contributor




JacquesLeen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked 16 hours ago









JacquesLeenJacquesLeen

161




161




New contributor




JacquesLeen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





JacquesLeen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






JacquesLeen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







  • 1




    $begingroup$
    Curly braces are for lists, not for code blocks. Use Module, Block, or With for code blocks. And try not to use For.
    $endgroup$
    – Roman
    15 hours ago






  • 1




    $begingroup$
    Why should I avoid the For loop in Mathematica?
    $endgroup$
    – corey979
    14 hours ago










  • $begingroup$
    Return doesn't do what you think it does. Don't use it until you understand it. Once you understand it, you'll probably never use it.
    $endgroup$
    – John Doty
    13 hours ago










  • $begingroup$
    You might also look into Nest and NestList as an alternative, built-in way to iterate this map.
    $endgroup$
    – Chris K
    13 hours ago












  • 1




    $begingroup$
    Curly braces are for lists, not for code blocks. Use Module, Block, or With for code blocks. And try not to use For.
    $endgroup$
    – Roman
    15 hours ago






  • 1




    $begingroup$
    Why should I avoid the For loop in Mathematica?
    $endgroup$
    – corey979
    14 hours ago










  • $begingroup$
    Return doesn't do what you think it does. Don't use it until you understand it. Once you understand it, you'll probably never use it.
    $endgroup$
    – John Doty
    13 hours ago










  • $begingroup$
    You might also look into Nest and NestList as an alternative, built-in way to iterate this map.
    $endgroup$
    – Chris K
    13 hours ago







1




1




$begingroup$
Curly braces are for lists, not for code blocks. Use Module, Block, or With for code blocks. And try not to use For.
$endgroup$
– Roman
15 hours ago




$begingroup$
Curly braces are for lists, not for code blocks. Use Module, Block, or With for code blocks. And try not to use For.
$endgroup$
– Roman
15 hours ago




1




1




$begingroup$
Why should I avoid the For loop in Mathematica?
$endgroup$
– corey979
14 hours ago




$begingroup$
Why should I avoid the For loop in Mathematica?
$endgroup$
– corey979
14 hours ago












$begingroup$
Return doesn't do what you think it does. Don't use it until you understand it. Once you understand it, you'll probably never use it.
$endgroup$
– John Doty
13 hours ago




$begingroup$
Return doesn't do what you think it does. Don't use it until you understand it. Once you understand it, you'll probably never use it.
$endgroup$
– John Doty
13 hours ago












$begingroup$
You might also look into Nest and NestList as an alternative, built-in way to iterate this map.
$endgroup$
– Chris K
13 hours ago




$begingroup$
You might also look into Nest and NestList as an alternative, built-in way to iterate this map.
$endgroup$
– Chris K
13 hours ago










2 Answers
2






active

oldest

votes


















5












$begingroup$

Try this:



f[r_] := Union[
Take[
RecurrenceTable[
a[n + 1] == r*(1 - a[n])*a[n], a[1] == .5,
a, n, 1, 1000
],
-100]
]





share|improve this answer











$endgroup$








  • 2




    $begingroup$
    Or, a little more efficiently, f[r_] := Union[ RecurrenceTable[a[n + 1] == r*(1 - a[n])*a[n], a[1] == 0.5, a, n, 901, 1000]]
    $endgroup$
    – Bob Hanlon
    12 hours ago


















3












$begingroup$

For a specific value of $r$ you can do



With[r = 3.7,
NestList[r*#*(1-#) &, 0.5, 1000][[-100 ;;]]]



0.783499, 0.627626, 0.864733, 0.432788, 0.908285, 0.308222,
0.788918, 0.616148, 0.875086, 0.404449, 0.891219, 0.358706, 0.851134,
0.468809, 0.9214, 0.26796, 0.725783, 0.736382, 0.718257, 0.748746,
0.696065, 0.782767, 0.629159, 0.863277, 0.436711, 0.910179, 0.302485,
0.780655, 0.63356, 0.858998, 0.448145, 0.915051, 0.287611, 0.758096,
0.67853, 0.80707, 0.576119, 0.903562, 0.32241, 0.808309, 0.573299,
0.905121, 0.317745, 0.802098, 0.587326, 0.896784, 0.34248, 0.833193,
0.514234, 0.92425, 0.259043, 0.710177, 0.761555, 0.67188, 0.815692,
0.556253, 0.913292, 0.293003, 0.766463, 0.662291, 0.827548, 0.528036,
0.922092, 0.265802, 0.722061, 0.74255, 0.707328, 0.765957, 0.663288,
0.826347, 0.530942, 0.921458, 0.267782, 0.725477, 0.736893, 0.717362,
0.750189, 0.6934, 0.786607, 0.621069, 0.870766, 0.41637, 0.899122,
0.335595, 0.824992, 0.534206, 0.920671, 0.270233, 0.729667, 0.729837,
0.729548, 0.730039, 0.729203, 0.730623, 0.728207, 0.732309, 0.72532,
0.737154, 0.716905, 0.750923




I don't think there are any duplicates in this list ($r$ is in the chaotic region). For other values of $r$ there are indeed duplicates:



With[r = 3.5,
NestList[r*#*(1 - #) &, 0.5, 1000][[-100 ;;]]] // DeleteDuplicates // Sort



0.38282, 0.500884, 0.826941, 0.874997




// Union does the same thing as // DeleteDuplicates // Sort if you prefer.






share|improve this answer











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    2 Answers
    2






    active

    oldest

    votes








    2 Answers
    2






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    5












    $begingroup$

    Try this:



    f[r_] := Union[
    Take[
    RecurrenceTable[
    a[n + 1] == r*(1 - a[n])*a[n], a[1] == .5,
    a, n, 1, 1000
    ],
    -100]
    ]





    share|improve this answer











    $endgroup$








    • 2




      $begingroup$
      Or, a little more efficiently, f[r_] := Union[ RecurrenceTable[a[n + 1] == r*(1 - a[n])*a[n], a[1] == 0.5, a, n, 901, 1000]]
      $endgroup$
      – Bob Hanlon
      12 hours ago















    5












    $begingroup$

    Try this:



    f[r_] := Union[
    Take[
    RecurrenceTable[
    a[n + 1] == r*(1 - a[n])*a[n], a[1] == .5,
    a, n, 1, 1000
    ],
    -100]
    ]





    share|improve this answer











    $endgroup$








    • 2




      $begingroup$
      Or, a little more efficiently, f[r_] := Union[ RecurrenceTable[a[n + 1] == r*(1 - a[n])*a[n], a[1] == 0.5, a, n, 901, 1000]]
      $endgroup$
      – Bob Hanlon
      12 hours ago













    5












    5








    5





    $begingroup$

    Try this:



    f[r_] := Union[
    Take[
    RecurrenceTable[
    a[n + 1] == r*(1 - a[n])*a[n], a[1] == .5,
    a, n, 1, 1000
    ],
    -100]
    ]





    share|improve this answer











    $endgroup$



    Try this:



    f[r_] := Union[
    Take[
    RecurrenceTable[
    a[n + 1] == r*(1 - a[n])*a[n], a[1] == .5,
    a, n, 1, 1000
    ],
    -100]
    ]






    share|improve this answer














    share|improve this answer



    share|improve this answer








    edited 13 hours ago









    MarcoB

    38.6k557115




    38.6k557115










    answered 16 hours ago









    Innerw0lfInnerw0lf

    564




    564







    • 2




      $begingroup$
      Or, a little more efficiently, f[r_] := Union[ RecurrenceTable[a[n + 1] == r*(1 - a[n])*a[n], a[1] == 0.5, a, n, 901, 1000]]
      $endgroup$
      – Bob Hanlon
      12 hours ago












    • 2




      $begingroup$
      Or, a little more efficiently, f[r_] := Union[ RecurrenceTable[a[n + 1] == r*(1 - a[n])*a[n], a[1] == 0.5, a, n, 901, 1000]]
      $endgroup$
      – Bob Hanlon
      12 hours ago







    2




    2




    $begingroup$
    Or, a little more efficiently, f[r_] := Union[ RecurrenceTable[a[n + 1] == r*(1 - a[n])*a[n], a[1] == 0.5, a, n, 901, 1000]]
    $endgroup$
    – Bob Hanlon
    12 hours ago




    $begingroup$
    Or, a little more efficiently, f[r_] := Union[ RecurrenceTable[a[n + 1] == r*(1 - a[n])*a[n], a[1] == 0.5, a, n, 901, 1000]]
    $endgroup$
    – Bob Hanlon
    12 hours ago











    3












    $begingroup$

    For a specific value of $r$ you can do



    With[r = 3.7,
    NestList[r*#*(1-#) &, 0.5, 1000][[-100 ;;]]]



    0.783499, 0.627626, 0.864733, 0.432788, 0.908285, 0.308222,
    0.788918, 0.616148, 0.875086, 0.404449, 0.891219, 0.358706, 0.851134,
    0.468809, 0.9214, 0.26796, 0.725783, 0.736382, 0.718257, 0.748746,
    0.696065, 0.782767, 0.629159, 0.863277, 0.436711, 0.910179, 0.302485,
    0.780655, 0.63356, 0.858998, 0.448145, 0.915051, 0.287611, 0.758096,
    0.67853, 0.80707, 0.576119, 0.903562, 0.32241, 0.808309, 0.573299,
    0.905121, 0.317745, 0.802098, 0.587326, 0.896784, 0.34248, 0.833193,
    0.514234, 0.92425, 0.259043, 0.710177, 0.761555, 0.67188, 0.815692,
    0.556253, 0.913292, 0.293003, 0.766463, 0.662291, 0.827548, 0.528036,
    0.922092, 0.265802, 0.722061, 0.74255, 0.707328, 0.765957, 0.663288,
    0.826347, 0.530942, 0.921458, 0.267782, 0.725477, 0.736893, 0.717362,
    0.750189, 0.6934, 0.786607, 0.621069, 0.870766, 0.41637, 0.899122,
    0.335595, 0.824992, 0.534206, 0.920671, 0.270233, 0.729667, 0.729837,
    0.729548, 0.730039, 0.729203, 0.730623, 0.728207, 0.732309, 0.72532,
    0.737154, 0.716905, 0.750923




    I don't think there are any duplicates in this list ($r$ is in the chaotic region). For other values of $r$ there are indeed duplicates:



    With[r = 3.5,
    NestList[r*#*(1 - #) &, 0.5, 1000][[-100 ;;]]] // DeleteDuplicates // Sort



    0.38282, 0.500884, 0.826941, 0.874997




    // Union does the same thing as // DeleteDuplicates // Sort if you prefer.






    share|improve this answer











    $endgroup$

















      3












      $begingroup$

      For a specific value of $r$ you can do



      With[r = 3.7,
      NestList[r*#*(1-#) &, 0.5, 1000][[-100 ;;]]]



      0.783499, 0.627626, 0.864733, 0.432788, 0.908285, 0.308222,
      0.788918, 0.616148, 0.875086, 0.404449, 0.891219, 0.358706, 0.851134,
      0.468809, 0.9214, 0.26796, 0.725783, 0.736382, 0.718257, 0.748746,
      0.696065, 0.782767, 0.629159, 0.863277, 0.436711, 0.910179, 0.302485,
      0.780655, 0.63356, 0.858998, 0.448145, 0.915051, 0.287611, 0.758096,
      0.67853, 0.80707, 0.576119, 0.903562, 0.32241, 0.808309, 0.573299,
      0.905121, 0.317745, 0.802098, 0.587326, 0.896784, 0.34248, 0.833193,
      0.514234, 0.92425, 0.259043, 0.710177, 0.761555, 0.67188, 0.815692,
      0.556253, 0.913292, 0.293003, 0.766463, 0.662291, 0.827548, 0.528036,
      0.922092, 0.265802, 0.722061, 0.74255, 0.707328, 0.765957, 0.663288,
      0.826347, 0.530942, 0.921458, 0.267782, 0.725477, 0.736893, 0.717362,
      0.750189, 0.6934, 0.786607, 0.621069, 0.870766, 0.41637, 0.899122,
      0.335595, 0.824992, 0.534206, 0.920671, 0.270233, 0.729667, 0.729837,
      0.729548, 0.730039, 0.729203, 0.730623, 0.728207, 0.732309, 0.72532,
      0.737154, 0.716905, 0.750923




      I don't think there are any duplicates in this list ($r$ is in the chaotic region). For other values of $r$ there are indeed duplicates:



      With[r = 3.5,
      NestList[r*#*(1 - #) &, 0.5, 1000][[-100 ;;]]] // DeleteDuplicates // Sort



      0.38282, 0.500884, 0.826941, 0.874997




      // Union does the same thing as // DeleteDuplicates // Sort if you prefer.






      share|improve this answer











      $endgroup$















        3












        3








        3





        $begingroup$

        For a specific value of $r$ you can do



        With[r = 3.7,
        NestList[r*#*(1-#) &, 0.5, 1000][[-100 ;;]]]



        0.783499, 0.627626, 0.864733, 0.432788, 0.908285, 0.308222,
        0.788918, 0.616148, 0.875086, 0.404449, 0.891219, 0.358706, 0.851134,
        0.468809, 0.9214, 0.26796, 0.725783, 0.736382, 0.718257, 0.748746,
        0.696065, 0.782767, 0.629159, 0.863277, 0.436711, 0.910179, 0.302485,
        0.780655, 0.63356, 0.858998, 0.448145, 0.915051, 0.287611, 0.758096,
        0.67853, 0.80707, 0.576119, 0.903562, 0.32241, 0.808309, 0.573299,
        0.905121, 0.317745, 0.802098, 0.587326, 0.896784, 0.34248, 0.833193,
        0.514234, 0.92425, 0.259043, 0.710177, 0.761555, 0.67188, 0.815692,
        0.556253, 0.913292, 0.293003, 0.766463, 0.662291, 0.827548, 0.528036,
        0.922092, 0.265802, 0.722061, 0.74255, 0.707328, 0.765957, 0.663288,
        0.826347, 0.530942, 0.921458, 0.267782, 0.725477, 0.736893, 0.717362,
        0.750189, 0.6934, 0.786607, 0.621069, 0.870766, 0.41637, 0.899122,
        0.335595, 0.824992, 0.534206, 0.920671, 0.270233, 0.729667, 0.729837,
        0.729548, 0.730039, 0.729203, 0.730623, 0.728207, 0.732309, 0.72532,
        0.737154, 0.716905, 0.750923




        I don't think there are any duplicates in this list ($r$ is in the chaotic region). For other values of $r$ there are indeed duplicates:



        With[r = 3.5,
        NestList[r*#*(1 - #) &, 0.5, 1000][[-100 ;;]]] // DeleteDuplicates // Sort



        0.38282, 0.500884, 0.826941, 0.874997




        // Union does the same thing as // DeleteDuplicates // Sort if you prefer.






        share|improve this answer











        $endgroup$



        For a specific value of $r$ you can do



        With[r = 3.7,
        NestList[r*#*(1-#) &, 0.5, 1000][[-100 ;;]]]



        0.783499, 0.627626, 0.864733, 0.432788, 0.908285, 0.308222,
        0.788918, 0.616148, 0.875086, 0.404449, 0.891219, 0.358706, 0.851134,
        0.468809, 0.9214, 0.26796, 0.725783, 0.736382, 0.718257, 0.748746,
        0.696065, 0.782767, 0.629159, 0.863277, 0.436711, 0.910179, 0.302485,
        0.780655, 0.63356, 0.858998, 0.448145, 0.915051, 0.287611, 0.758096,
        0.67853, 0.80707, 0.576119, 0.903562, 0.32241, 0.808309, 0.573299,
        0.905121, 0.317745, 0.802098, 0.587326, 0.896784, 0.34248, 0.833193,
        0.514234, 0.92425, 0.259043, 0.710177, 0.761555, 0.67188, 0.815692,
        0.556253, 0.913292, 0.293003, 0.766463, 0.662291, 0.827548, 0.528036,
        0.922092, 0.265802, 0.722061, 0.74255, 0.707328, 0.765957, 0.663288,
        0.826347, 0.530942, 0.921458, 0.267782, 0.725477, 0.736893, 0.717362,
        0.750189, 0.6934, 0.786607, 0.621069, 0.870766, 0.41637, 0.899122,
        0.335595, 0.824992, 0.534206, 0.920671, 0.270233, 0.729667, 0.729837,
        0.729548, 0.730039, 0.729203, 0.730623, 0.728207, 0.732309, 0.72532,
        0.737154, 0.716905, 0.750923




        I don't think there are any duplicates in this list ($r$ is in the chaotic region). For other values of $r$ there are indeed duplicates:



        With[r = 3.5,
        NestList[r*#*(1 - #) &, 0.5, 1000][[-100 ;;]]] // DeleteDuplicates // Sort



        0.38282, 0.500884, 0.826941, 0.874997




        // Union does the same thing as // DeleteDuplicates // Sort if you prefer.







        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited 11 hours ago

























        answered 12 hours ago









        RomanRoman

        4,65511128




        4,65511128




















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