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Defined and Undefined Vector Fields



The 2019 Stack Overflow Developer Survey Results Are Inwhy are curl and divergence defined the way they are?Lie groups, Lie algebra and left invariant vector fieldsFinding a potential function using integration (vector fields)Why is does this vector field have zero-curl everywhere? Plus, broad questions about curl.Drawing Vector Fields (beginner)Curl of a Curl of a Vector field QuestionHow can one get rid of a scalar potential, and find the corresponding vector potential?Inverse-Square vector fields have both a divergence and curl of $0$?Integral curves and flows of bounded vector fieldsVector Fields on Lie Groups in a Coordinate Parameterisation










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Given a vector field which has circulation but no curl resulting from an undefined point, for example, $beginbmatrix-fracyx^2+y^2\fracxx^2+y^2endbmatrix$, does there exist, or can there exist, another, otherwise identical vector field, where the previously-undefined point is defined and has curl equal to the circulation it induces?










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    0












    $begingroup$


    Given a vector field which has circulation but no curl resulting from an undefined point, for example, $beginbmatrix-fracyx^2+y^2\fracxx^2+y^2endbmatrix$, does there exist, or can there exist, another, otherwise identical vector field, where the previously-undefined point is defined and has curl equal to the circulation it induces?










    share|cite|improve this question









    $endgroup$














      0












      0








      0





      $begingroup$


      Given a vector field which has circulation but no curl resulting from an undefined point, for example, $beginbmatrix-fracyx^2+y^2\fracxx^2+y^2endbmatrix$, does there exist, or can there exist, another, otherwise identical vector field, where the previously-undefined point is defined and has curl equal to the circulation it induces?










      share|cite|improve this question









      $endgroup$




      Given a vector field which has circulation but no curl resulting from an undefined point, for example, $beginbmatrix-fracyx^2+y^2\fracxx^2+y^2endbmatrix$, does there exist, or can there exist, another, otherwise identical vector field, where the previously-undefined point is defined and has curl equal to the circulation it induces?







      multivariable-calculus vector-fields singularity curl






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




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      asked Mar 23 at 18:40









      user10478user10478

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