Given

  • 3D coordinate system (bipolarcylindrical):
  • x = a*sinh(v)/(cosh(v)-cos(u))
  • y = a*sin(u)/(cosh(v)-cos(u))
  • z = w

Calculate

  • 1. Metric
  • 2. Connection
  • 3. Christoffel symbols
  • 4. Laplace operator
  • Run atlas 2D/3D Wizard and press NEXT button
  • Choose  3D - space and press NEXT button
  • Select BIPOLARCYLINDRICAL coordinate system and press NEXT button
  • Press NEXT button (just coordinate system calculations no curves or surfaces)
  • Nothing to enter (no curve or surface selected), just press NEXT button
  • You can skip this step (no data was entered just predefined coordinate system).
  • Specify a worksheet to save the Maple™ code (output.mws by default).
  • Press FINISH button and execute in Maple™ the generated file

Result of the execution

You will see the results of the execution in the worksheet: metric, connection, Christoffel symbols and Laplace operator.

It takes 45 seconds to solve this problem from the beginning to the end! Just try it.