Vector based on a set and in the order of another vector











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This feels like a very basic question, so I hope I am not in the wrong place.



I have a set of (color, value) pairs CV={(color_1,value_1), (color_2,value_2) ...} and a vector of colors color = [color_2, color_3, color_1,...].



I want to formally define the vector Value as the values in CV but in the order that the corresponding color appears in the color vector.



Is there a more mathematically exact way of writing this?



Example: CV = {(orange, 7), (red, 3), (blue, 91), (green,22)} and color=[red, blue, green, orange]. Now Value should be Value = [3, 91, 22, 7].



Thanks in advance.










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  • I'm not sure what your question is. You just gave the definition.
    – user3482749
    yesterday










  • thanks for the swift answer. My question would be: Is there a more mathematically exact way of writing this. Because right now it sounds a bit vague.
    – oldmansaur
    yesterday










  • Not really. What you've said is precise. Given any CV and color, I can define Value precisely.
    – user3482749
    yesterday















up vote
0
down vote

favorite












This feels like a very basic question, so I hope I am not in the wrong place.



I have a set of (color, value) pairs CV={(color_1,value_1), (color_2,value_2) ...} and a vector of colors color = [color_2, color_3, color_1,...].



I want to formally define the vector Value as the values in CV but in the order that the corresponding color appears in the color vector.



Is there a more mathematically exact way of writing this?



Example: CV = {(orange, 7), (red, 3), (blue, 91), (green,22)} and color=[red, blue, green, orange]. Now Value should be Value = [3, 91, 22, 7].



Thanks in advance.










share|cite|improve this question
























  • I'm not sure what your question is. You just gave the definition.
    – user3482749
    yesterday










  • thanks for the swift answer. My question would be: Is there a more mathematically exact way of writing this. Because right now it sounds a bit vague.
    – oldmansaur
    yesterday










  • Not really. What you've said is precise. Given any CV and color, I can define Value precisely.
    – user3482749
    yesterday













up vote
0
down vote

favorite









up vote
0
down vote

favorite











This feels like a very basic question, so I hope I am not in the wrong place.



I have a set of (color, value) pairs CV={(color_1,value_1), (color_2,value_2) ...} and a vector of colors color = [color_2, color_3, color_1,...].



I want to formally define the vector Value as the values in CV but in the order that the corresponding color appears in the color vector.



Is there a more mathematically exact way of writing this?



Example: CV = {(orange, 7), (red, 3), (blue, 91), (green,22)} and color=[red, blue, green, orange]. Now Value should be Value = [3, 91, 22, 7].



Thanks in advance.










share|cite|improve this question















This feels like a very basic question, so I hope I am not in the wrong place.



I have a set of (color, value) pairs CV={(color_1,value_1), (color_2,value_2) ...} and a vector of colors color = [color_2, color_3, color_1,...].



I want to formally define the vector Value as the values in CV but in the order that the corresponding color appears in the color vector.



Is there a more mathematically exact way of writing this?



Example: CV = {(orange, 7), (red, 3), (blue, 91), (green,22)} and color=[red, blue, green, orange]. Now Value should be Value = [3, 91, 22, 7].



Thanks in advance.







vectors






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edited yesterday

























asked yesterday









oldmansaur

274




274












  • I'm not sure what your question is. You just gave the definition.
    – user3482749
    yesterday










  • thanks for the swift answer. My question would be: Is there a more mathematically exact way of writing this. Because right now it sounds a bit vague.
    – oldmansaur
    yesterday










  • Not really. What you've said is precise. Given any CV and color, I can define Value precisely.
    – user3482749
    yesterday


















  • I'm not sure what your question is. You just gave the definition.
    – user3482749
    yesterday










  • thanks for the swift answer. My question would be: Is there a more mathematically exact way of writing this. Because right now it sounds a bit vague.
    – oldmansaur
    yesterday










  • Not really. What you've said is precise. Given any CV and color, I can define Value precisely.
    – user3482749
    yesterday
















I'm not sure what your question is. You just gave the definition.
– user3482749
yesterday




I'm not sure what your question is. You just gave the definition.
– user3482749
yesterday












thanks for the swift answer. My question would be: Is there a more mathematically exact way of writing this. Because right now it sounds a bit vague.
– oldmansaur
yesterday




thanks for the swift answer. My question would be: Is there a more mathematically exact way of writing this. Because right now it sounds a bit vague.
– oldmansaur
yesterday












Not really. What you've said is precise. Given any CV and color, I can define Value precisely.
– user3482749
yesterday




Not really. What you've said is precise. Given any CV and color, I can define Value precisely.
– user3482749
yesterday










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CV defines a map mapping colors to values. Hence we can write $Value = (CV(color_i))_{i=1}^n$, where $n$ is the given dimension.






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    1 Answer
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    1 Answer
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    active

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    active

    oldest

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    up vote
    0
    down vote



    accepted










    CV defines a map mapping colors to values. Hence we can write $Value = (CV(color_i))_{i=1}^n$, where $n$ is the given dimension.






    share|cite|improve this answer

























      up vote
      0
      down vote



      accepted










      CV defines a map mapping colors to values. Hence we can write $Value = (CV(color_i))_{i=1}^n$, where $n$ is the given dimension.






      share|cite|improve this answer























        up vote
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        down vote



        accepted







        up vote
        0
        down vote



        accepted






        CV defines a map mapping colors to values. Hence we can write $Value = (CV(color_i))_{i=1}^n$, where $n$ is the given dimension.






        share|cite|improve this answer












        CV defines a map mapping colors to values. Hence we can write $Value = (CV(color_i))_{i=1}^n$, where $n$ is the given dimension.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered yesterday









        Stockfish

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