Solving System on Inequalities Numerically












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I am stuck on a problem that says given for the range [750,1800] (where each element has a spacing of 5 units: [750,755,760,...,1795,1800]), to select 4 elements from this range who are all at least 150 units apart from each other. I don’t need all possible solutions just a decent sample of possible solutions.



The only way I could think to do this was through some numerical/iterative approach in R or MATLAB, but I’m hoping that would be unnecessary and am looking for some suggestions.



Thank you.










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    $begingroup$


    I am stuck on a problem that says given for the range [750,1800] (where each element has a spacing of 5 units: [750,755,760,...,1795,1800]), to select 4 elements from this range who are all at least 150 units apart from each other. I don’t need all possible solutions just a decent sample of possible solutions.



    The only way I could think to do this was through some numerical/iterative approach in R or MATLAB, but I’m hoping that would be unnecessary and am looking for some suggestions.



    Thank you.










    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      I am stuck on a problem that says given for the range [750,1800] (where each element has a spacing of 5 units: [750,755,760,...,1795,1800]), to select 4 elements from this range who are all at least 150 units apart from each other. I don’t need all possible solutions just a decent sample of possible solutions.



      The only way I could think to do this was through some numerical/iterative approach in R or MATLAB, but I’m hoping that would be unnecessary and am looking for some suggestions.



      Thank you.










      share|cite|improve this question









      $endgroup$




      I am stuck on a problem that says given for the range [750,1800] (where each element has a spacing of 5 units: [750,755,760,...,1795,1800]), to select 4 elements from this range who are all at least 150 units apart from each other. I don’t need all possible solutions just a decent sample of possible solutions.



      The only way I could think to do this was through some numerical/iterative approach in R or MATLAB, but I’m hoping that would be unnecessary and am looking for some suggestions.



      Thank you.







      inequality systems-of-equations






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      asked Feb 2 at 19:18









      Thomas MooreThomas Moore

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          Let one value be $750$, then select $750+150=900$, $900+150=1050$ and $1050+150=1200$. In fact we can pick any starting value up to $1350$ and perform the same procedure to get a valid sample. We can also pick elements spaced at different lengths away from each other such as $155,160,...$ to get even more valid samples.






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            $begingroup$

            Let one value be $750$, then select $750+150=900$, $900+150=1050$ and $1050+150=1200$. In fact we can pick any starting value up to $1350$ and perform the same procedure to get a valid sample. We can also pick elements spaced at different lengths away from each other such as $155,160,...$ to get even more valid samples.






            share|cite|improve this answer









            $endgroup$


















              0












              $begingroup$

              Let one value be $750$, then select $750+150=900$, $900+150=1050$ and $1050+150=1200$. In fact we can pick any starting value up to $1350$ and perform the same procedure to get a valid sample. We can also pick elements spaced at different lengths away from each other such as $155,160,...$ to get even more valid samples.






              share|cite|improve this answer









              $endgroup$
















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                0








                0





                $begingroup$

                Let one value be $750$, then select $750+150=900$, $900+150=1050$ and $1050+150=1200$. In fact we can pick any starting value up to $1350$ and perform the same procedure to get a valid sample. We can also pick elements spaced at different lengths away from each other such as $155,160,...$ to get even more valid samples.






                share|cite|improve this answer









                $endgroup$



                Let one value be $750$, then select $750+150=900$, $900+150=1050$ and $1050+150=1200$. In fact we can pick any starting value up to $1350$ and perform the same procedure to get a valid sample. We can also pick elements spaced at different lengths away from each other such as $155,160,...$ to get even more valid samples.







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered Feb 2 at 19:22









                Peter ForemanPeter Foreman

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