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Step function example



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Help understanding Rudin's proof of the chain ruleSquare-root accurate, primitives and step functionsPrimitives, step counting functions and limits versus Prime Number TheoremGraph of a function in a finite union of boxes.Step function properties!Maximize function on orthogonal matricesDerivative of function and unit step functionIs Heaviside step function or unit step function periodic?Heaviside step function with function as argumentApproximation of Step function?










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$begingroup$


Give an example of a step function $s:[-1,3]rightarrow mathbbR$ such that $s([-1,3])$ contains at least $4$ distinct real numbers and



$int_-1^3 s = pi,.$



$s(x)=-20 text if -1 leq x <0$



$s(x)=fracpi3 text if 0 leq x < 1$



$s(x)=20 text if 1leq x < 2$



$s(x)=frac2pi3 text if 2leq x leq 3$



This seems a little to simple I got worried could yall verify. P.S. sorry couldnt figure out how to fix the code.










share|cite|improve this question











$endgroup$
















    -2












    $begingroup$


    Give an example of a step function $s:[-1,3]rightarrow mathbbR$ such that $s([-1,3])$ contains at least $4$ distinct real numbers and



    $int_-1^3 s = pi,.$



    $s(x)=-20 text if -1 leq x <0$



    $s(x)=fracpi3 text if 0 leq x < 1$



    $s(x)=20 text if 1leq x < 2$



    $s(x)=frac2pi3 text if 2leq x leq 3$



    This seems a little to simple I got worried could yall verify. P.S. sorry couldnt figure out how to fix the code.










    share|cite|improve this question











    $endgroup$














      -2












      -2








      -2





      $begingroup$


      Give an example of a step function $s:[-1,3]rightarrow mathbbR$ such that $s([-1,3])$ contains at least $4$ distinct real numbers and



      $int_-1^3 s = pi,.$



      $s(x)=-20 text if -1 leq x <0$



      $s(x)=fracpi3 text if 0 leq x < 1$



      $s(x)=20 text if 1leq x < 2$



      $s(x)=frac2pi3 text if 2leq x leq 3$



      This seems a little to simple I got worried could yall verify. P.S. sorry couldnt figure out how to fix the code.










      share|cite|improve this question











      $endgroup$




      Give an example of a step function $s:[-1,3]rightarrow mathbbR$ such that $s([-1,3])$ contains at least $4$ distinct real numbers and



      $int_-1^3 s = pi,.$



      $s(x)=-20 text if -1 leq x <0$



      $s(x)=fracpi3 text if 0 leq x < 1$



      $s(x)=20 text if 1leq x < 2$



      $s(x)=frac2pi3 text if 2leq x leq 3$



      This seems a little to simple I got worried could yall verify. P.S. sorry couldnt figure out how to fix the code.







      calculus step-function






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      share|cite|improve this question













      share|cite|improve this question




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      edited Apr 8 at 21:35









      Jarne Renders

      798




      798










      asked Apr 8 at 20:01









      DoubleliftDoublelift

      305




      305




















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          $begingroup$

          If you want to know if your example is right. That's right, just break an integral in the four ranges.






          share|cite|improve this answer









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            $begingroup$

            If you want to know if your example is right. That's right, just break an integral in the four ranges.






            share|cite|improve this answer









            $endgroup$

















              0












              $begingroup$

              If you want to know if your example is right. That's right, just break an integral in the four ranges.






              share|cite|improve this answer









              $endgroup$















                0












                0








                0





                $begingroup$

                If you want to know if your example is right. That's right, just break an integral in the four ranges.






                share|cite|improve this answer









                $endgroup$



                If you want to know if your example is right. That's right, just break an integral in the four ranges.







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered Apr 8 at 21:07









                LucasLucas

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