Propagation of Error for Sum of Reciprocals Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Error propagation for ratio dataError PropagationError in computing $frace^x-1x$ for $x$ near $0$.Error propagation for bitwise operatorsError propagation of Gaussian measuresCompute algorithmic error for incremental ratio using computational graphSimple error propagation calculationPropagation of error vs. direct computationexponential fit error propagationanalytical propagation of error

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Propagation of Error for Sum of Reciprocals



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Error propagation for ratio dataError PropagationError in computing $frace^x-1x$ for $x$ near $0$.Error propagation for bitwise operatorsError propagation of Gaussian measuresCompute algorithmic error for incremental ratio using computational graphSimple error propagation calculationPropagation of error vs. direct computationexponential fit error propagationanalytical propagation of error










1












$begingroup$


Given a set of $n$ complex numbers $a_i$ and error magnitude $epsilon_i$ with $|a_i| > epsilon_i$. We define the error disk $D(epsilon_i) = z$. We have the set



$$
F = sum_i=1^n frac1a_i + D(epsilon_i)
$$

Now, I would like to find a minimum $delta$ such that
$$
G = D(delta) + sum_i=1^n frac1a_i
$$

and $F subset G$. Sorry, for the awkward notation, I guess there is a much better to conceptualize this. Please enlighten me.










share|cite|improve this question









$endgroup$
















    1












    $begingroup$


    Given a set of $n$ complex numbers $a_i$ and error magnitude $epsilon_i$ with $|a_i| > epsilon_i$. We define the error disk $D(epsilon_i) = z$. We have the set



    $$
    F = sum_i=1^n frac1a_i + D(epsilon_i)
    $$

    Now, I would like to find a minimum $delta$ such that
    $$
    G = D(delta) + sum_i=1^n frac1a_i
    $$

    and $F subset G$. Sorry, for the awkward notation, I guess there is a much better to conceptualize this. Please enlighten me.










    share|cite|improve this question









    $endgroup$














      1












      1








      1


      1



      $begingroup$


      Given a set of $n$ complex numbers $a_i$ and error magnitude $epsilon_i$ with $|a_i| > epsilon_i$. We define the error disk $D(epsilon_i) = z$. We have the set



      $$
      F = sum_i=1^n frac1a_i + D(epsilon_i)
      $$

      Now, I would like to find a minimum $delta$ such that
      $$
      G = D(delta) + sum_i=1^n frac1a_i
      $$

      and $F subset G$. Sorry, for the awkward notation, I guess there is a much better to conceptualize this. Please enlighten me.










      share|cite|improve this question









      $endgroup$




      Given a set of $n$ complex numbers $a_i$ and error magnitude $epsilon_i$ with $|a_i| > epsilon_i$. We define the error disk $D(epsilon_i) = z$. We have the set



      $$
      F = sum_i=1^n frac1a_i + D(epsilon_i)
      $$

      Now, I would like to find a minimum $delta$ such that
      $$
      G = D(delta) + sum_i=1^n frac1a_i
      $$

      and $F subset G$. Sorry, for the awkward notation, I guess there is a much better to conceptualize this. Please enlighten me.







      calculus error-propagation






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Mar 27 at 16:40









      Sebastian SchlechtSebastian Schlecht

      26418




      26418




















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