What kind of equations could represent this? [closed]

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Let's say I have the following relation between two numbers:



x = 10 => y = 1
x = 30 => y = 2
x = 40 => y = 3
x = 60 => y = 4
x = 70 => y = 5
x = 90 => y = 6


So how to put that in an equation and what do that kind of equations called?




relations




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closed as off-topic by Henrik, Lord Shark the Unknown, mfl, Jendrik Stelzner, user91500 Aug 23 at 9:15


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Henrik, Lord Shark the Unknown, mfl, Jendrik Stelzner, user91500
If this question can be reworded to fit the rules in the help center, please edit the question.








  • 1




    There are an infinite number of functions matching those 6 points, so that can't be answered in any reasonable way.
    – Henrik
    Aug 23 at 5:27






  • 2




    As mvw answered, have a look at oeis.org/… There are 76 results found for sequence $1,3,4,6,7,9$
    – Claude Leibovici
    Aug 23 at 6:06










  • An example of one such function, assuming those are your only values, could be $y=(x+5)/15$ where $/$ indicates integer division (so $35/15 = 2$ and the fractional part $0.33333ldots$ is discarded).
    – postmortes
    Aug 23 at 7:07














up vote
-2
down vote

favorite












Let's say I have the following relation between two numbers:



x = 10 => y = 1
x = 30 => y = 2
x = 40 => y = 3
x = 60 => y = 4
x = 70 => y = 5
x = 90 => y = 6


So how to put that in an equation and what do that kind of equations called?




relations




share|cite|improve this question














closed as off-topic by Henrik, Lord Shark the Unknown, mfl, Jendrik Stelzner, user91500 Aug 23 at 9:15


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Henrik, Lord Shark the Unknown, mfl, Jendrik Stelzner, user91500
If this question can be reworded to fit the rules in the help center, please edit the question.








  • 1




    There are an infinite number of functions matching those 6 points, so that can't be answered in any reasonable way.
    – Henrik
    Aug 23 at 5:27






  • 2




    As mvw answered, have a look at oeis.org/… There are 76 results found for sequence $1,3,4,6,7,9$
    – Claude Leibovici
    Aug 23 at 6:06










  • An example of one such function, assuming those are your only values, could be $y=(x+5)/15$ where $/$ indicates integer division (so $35/15 = 2$ and the fractional part $0.33333ldots$ is discarded).
    – postmortes
    Aug 23 at 7:07












up vote
-2
down vote

favorite









up vote
-2
down vote

favorite











Let's say I have the following relation between two numbers:



x = 10 => y = 1
x = 30 => y = 2
x = 40 => y = 3
x = 60 => y = 4
x = 70 => y = 5
x = 90 => y = 6


So how to put that in an equation and what do that kind of equations called?




relations




share|cite|improve this question














Let's say I have the following relation between two numbers:



x = 10 => y = 1
x = 30 => y = 2
x = 40 => y = 3
x = 60 => y = 4
x = 70 => y = 5
x = 90 => y = 6


So how to put that in an equation and what do that kind of equations called?





relations





share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Aug 23 at 13:12









mvw

30.8k22252




30.8k22252










asked Aug 23 at 5:08









Tarek.hms

971




971




closed as off-topic by Henrik, Lord Shark the Unknown, mfl, Jendrik Stelzner, user91500 Aug 23 at 9:15


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Henrik, Lord Shark the Unknown, mfl, Jendrik Stelzner, user91500
If this question can be reworded to fit the rules in the help center, please edit the question.




closed as off-topic by Henrik, Lord Shark the Unknown, mfl, Jendrik Stelzner, user91500 Aug 23 at 9:15


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Henrik, Lord Shark the Unknown, mfl, Jendrik Stelzner, user91500
If this question can be reworded to fit the rules in the help center, please edit the question.







  • 1




    There are an infinite number of functions matching those 6 points, so that can't be answered in any reasonable way.
    – Henrik
    Aug 23 at 5:27






  • 2




    As mvw answered, have a look at oeis.org/… There are 76 results found for sequence $1,3,4,6,7,9$
    – Claude Leibovici
    Aug 23 at 6:06










  • An example of one such function, assuming those are your only values, could be $y=(x+5)/15$ where $/$ indicates integer division (so $35/15 = 2$ and the fractional part $0.33333ldots$ is discarded).
    – postmortes
    Aug 23 at 7:07












  • 1




    There are an infinite number of functions matching those 6 points, so that can't be answered in any reasonable way.
    – Henrik
    Aug 23 at 5:27






  • 2




    As mvw answered, have a look at oeis.org/… There are 76 results found for sequence $1,3,4,6,7,9$
    – Claude Leibovici
    Aug 23 at 6:06










  • An example of one such function, assuming those are your only values, could be $y=(x+5)/15$ where $/$ indicates integer division (so $35/15 = 2$ and the fractional part $0.33333ldots$ is discarded).
    – postmortes
    Aug 23 at 7:07







1




1




There are an infinite number of functions matching those 6 points, so that can't be answered in any reasonable way.
– Henrik
Aug 23 at 5:27




There are an infinite number of functions matching those 6 points, so that can't be answered in any reasonable way.
– Henrik
Aug 23 at 5:27




2




2




As mvw answered, have a look at oeis.org/… There are 76 results found for sequence $1,3,4,6,7,9$
– Claude Leibovici
Aug 23 at 6:06




As mvw answered, have a look at oeis.org/… There are 76 results found for sequence $1,3,4,6,7,9$
– Claude Leibovici
Aug 23 at 6:06












An example of one such function, assuming those are your only values, could be $y=(x+5)/15$ where $/$ indicates integer division (so $35/15 = 2$ and the fractional part $0.33333ldots$ is discarded).
– postmortes
Aug 23 at 7:07




An example of one such function, assuming those are your only values, could be $y=(x+5)/15$ where $/$ indicates integer division (so $35/15 = 2$ and the fractional part $0.33333ldots$ is discarded).
– postmortes
Aug 23 at 7:07










1 Answer
1






active

oldest

votes

















up vote
1
down vote













The naming suggests that these are pairs of $x$ and $y$ coordinates, they can be interpreted as points in the plane.



There are infinite many functions which have those points included in their graph. So one needs to ask such a function to fulfill additional properties, e.g. continuity or differentiability, or using certain sets of terms only, to reduce the set of solutions for this problem.



In numerical analysis one learns about interpolation functions, e.g. Lagrange polynomials, Newton interpolation.



Another interpretation could be as integer sequence with index $x$ and value $y$ for that index. Here I would refer to a dictionary like OEIS.






share|cite|improve this answer





























    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes








    up vote
    1
    down vote













    The naming suggests that these are pairs of $x$ and $y$ coordinates, they can be interpreted as points in the plane.



    There are infinite many functions which have those points included in their graph. So one needs to ask such a function to fulfill additional properties, e.g. continuity or differentiability, or using certain sets of terms only, to reduce the set of solutions for this problem.



    In numerical analysis one learns about interpolation functions, e.g. Lagrange polynomials, Newton interpolation.



    Another interpretation could be as integer sequence with index $x$ and value $y$ for that index. Here I would refer to a dictionary like OEIS.






    share|cite|improve this answer


























      up vote
      1
      down vote













      The naming suggests that these are pairs of $x$ and $y$ coordinates, they can be interpreted as points in the plane.



      There are infinite many functions which have those points included in their graph. So one needs to ask such a function to fulfill additional properties, e.g. continuity or differentiability, or using certain sets of terms only, to reduce the set of solutions for this problem.



      In numerical analysis one learns about interpolation functions, e.g. Lagrange polynomials, Newton interpolation.



      Another interpretation could be as integer sequence with index $x$ and value $y$ for that index. Here I would refer to a dictionary like OEIS.






      share|cite|improve this answer
























        up vote
        1
        down vote










        up vote
        1
        down vote









        The naming suggests that these are pairs of $x$ and $y$ coordinates, they can be interpreted as points in the plane.



        There are infinite many functions which have those points included in their graph. So one needs to ask such a function to fulfill additional properties, e.g. continuity or differentiability, or using certain sets of terms only, to reduce the set of solutions for this problem.



        In numerical analysis one learns about interpolation functions, e.g. Lagrange polynomials, Newton interpolation.



        Another interpretation could be as integer sequence with index $x$ and value $y$ for that index. Here I would refer to a dictionary like OEIS.






        share|cite|improve this answer














        The naming suggests that these are pairs of $x$ and $y$ coordinates, they can be interpreted as points in the plane.



        There are infinite many functions which have those points included in their graph. So one needs to ask such a function to fulfill additional properties, e.g. continuity or differentiability, or using certain sets of terms only, to reduce the set of solutions for this problem.



        In numerical analysis one learns about interpolation functions, e.g. Lagrange polynomials, Newton interpolation.



        Another interpretation could be as integer sequence with index $x$ and value $y$ for that index. Here I would refer to a dictionary like OEIS.







        share|cite|improve this answer














        share|cite|improve this answer



        share|cite|improve this answer








        edited Aug 23 at 7:57

























        answered Aug 23 at 5:26









        mvw

        30.8k22252




        30.8k22252












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