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How many constraints are there in $g(x) leq 2x geq 0$?


Proving constraints are redundantProving Convergence of a Derivative Free MethodIs there a function of $y$ that satisfies these constraints?What constraints can be on the Fourier coefficients of $f(t)$ if $0 leq f(t) leq 1 $How to find Nash equilibria through KKT conditions (convex optimization)?How to convert linear inequality constraints into box constraintsHow to deal with Constraints having Large or Infinite Domains.Understanding binding constraints associated with points in $mathbbR^3$Minimize distance given other distance constraintsSolving/minimizing $Fw=b$ with $F$ and $w$ unknown and $b$ known













0












$begingroup$


How many constraints are there in $g(x) leq 2x geq 0$?



I thought $g(x) leq 2x$ and $g(x) geq 0$, but something suggested that there could be three rather than two constraints here?



Perhaps the third one is about constraining $2x$ from above?




The reason for there being third one is that this is in a "black box optimization" example. And the author evaluates three distinct inequality constraints. Rather than two.




Third one could be $2x - g(x) geq 0$, but I'm not sure if this makes any difference? Shouldn't this be captured by the two constraints already? Unless one must make sure that $2x geq 0$?










share|cite|improve this question











$endgroup$
















    0












    $begingroup$


    How many constraints are there in $g(x) leq 2x geq 0$?



    I thought $g(x) leq 2x$ and $g(x) geq 0$, but something suggested that there could be three rather than two constraints here?



    Perhaps the third one is about constraining $2x$ from above?




    The reason for there being third one is that this is in a "black box optimization" example. And the author evaluates three distinct inequality constraints. Rather than two.




    Third one could be $2x - g(x) geq 0$, but I'm not sure if this makes any difference? Shouldn't this be captured by the two constraints already? Unless one must make sure that $2x geq 0$?










    share|cite|improve this question











    $endgroup$














      0












      0








      0





      $begingroup$


      How many constraints are there in $g(x) leq 2x geq 0$?



      I thought $g(x) leq 2x$ and $g(x) geq 0$, but something suggested that there could be three rather than two constraints here?



      Perhaps the third one is about constraining $2x$ from above?




      The reason for there being third one is that this is in a "black box optimization" example. And the author evaluates three distinct inequality constraints. Rather than two.




      Third one could be $2x - g(x) geq 0$, but I'm not sure if this makes any difference? Shouldn't this be captured by the two constraints already? Unless one must make sure that $2x geq 0$?










      share|cite|improve this question











      $endgroup$




      How many constraints are there in $g(x) leq 2x geq 0$?



      I thought $g(x) leq 2x$ and $g(x) geq 0$, but something suggested that there could be three rather than two constraints here?



      Perhaps the third one is about constraining $2x$ from above?




      The reason for there being third one is that this is in a "black box optimization" example. And the author evaluates three distinct inequality constraints. Rather than two.




      Third one could be $2x - g(x) geq 0$, but I'm not sure if this makes any difference? Shouldn't this be captured by the two constraints already? Unless one must make sure that $2x geq 0$?







      constraints






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Mar 29 at 21:00







      mavavilj

















      asked Mar 29 at 20:42









      mavaviljmavavilj

      2,85911138




      2,85911138




















          1 Answer
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          2












          $begingroup$

          I'd say it's not clearly written, and I would advise anyone writing constraints that way to stop it. But if I had to intepret it, I would say the constraints are $g(x)leq 2x$ and $2xgeq 0$.






          share|cite|improve this answer









          $endgroup$












          • $begingroup$
            But then defining $x in mathbbR_+$ would have been so much better. So also I'm not sure :)
            $endgroup$
            – independentvariable
            Mar 29 at 21:03











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          $begingroup$

          I'd say it's not clearly written, and I would advise anyone writing constraints that way to stop it. But if I had to intepret it, I would say the constraints are $g(x)leq 2x$ and $2xgeq 0$.






          share|cite|improve this answer









          $endgroup$












          • $begingroup$
            But then defining $x in mathbbR_+$ would have been so much better. So also I'm not sure :)
            $endgroup$
            – independentvariable
            Mar 29 at 21:03















          2












          $begingroup$

          I'd say it's not clearly written, and I would advise anyone writing constraints that way to stop it. But if I had to intepret it, I would say the constraints are $g(x)leq 2x$ and $2xgeq 0$.






          share|cite|improve this answer









          $endgroup$












          • $begingroup$
            But then defining $x in mathbbR_+$ would have been so much better. So also I'm not sure :)
            $endgroup$
            – independentvariable
            Mar 29 at 21:03













          2












          2








          2





          $begingroup$

          I'd say it's not clearly written, and I would advise anyone writing constraints that way to stop it. But if I had to intepret it, I would say the constraints are $g(x)leq 2x$ and $2xgeq 0$.






          share|cite|improve this answer









          $endgroup$



          I'd say it's not clearly written, and I would advise anyone writing constraints that way to stop it. But if I had to intepret it, I would say the constraints are $g(x)leq 2x$ and $2xgeq 0$.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Mar 29 at 20:48









          5xum5xum

          92k394162




          92k394162











          • $begingroup$
            But then defining $x in mathbbR_+$ would have been so much better. So also I'm not sure :)
            $endgroup$
            – independentvariable
            Mar 29 at 21:03
















          • $begingroup$
            But then defining $x in mathbbR_+$ would have been so much better. So also I'm not sure :)
            $endgroup$
            – independentvariable
            Mar 29 at 21:03















          $begingroup$
          But then defining $x in mathbbR_+$ would have been so much better. So also I'm not sure :)
          $endgroup$
          – independentvariable
          Mar 29 at 21:03




          $begingroup$
          But then defining $x in mathbbR_+$ would have been so much better. So also I'm not sure :)
          $endgroup$
          – independentvariable
          Mar 29 at 21:03

















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