The kids' grandparents are visiting from TX. On our bus ride back from downtown yesterday, No. 1 was excitedly detailing everything she wanted to do for the rest of the day with her grandparents. As the list grew, her grandma suggested that she write it all down so she wouldn't forget anything. No. 1, popped out her sketch book, a box of crayons, borrowed my pen, and voila! My favorite part was all the bacon!
Now available as a Kindle ebook for 99 cents ! Get a spiffy ebook, and fund more physics The following is a pretty lengthy procedure, but converting the divergence, (nabla, del) operator between coordinate systems comes up pretty often. While there are tables for converting between common coordinate systems , there seem to be fewer explanations of the procedure for deriving the conversion, so here goes! What do we actually want? To convert the Cartesian nabla to the nabla for another coordinate system, say… cylindrical coordinates. What we’ll need: 1. The Cartesian Nabla: 2. A set of equations relating the Cartesian coordinates to cylindrical coordinates: 3. A set of equations relating the Cartesian basis vectors to the basis vectors of the new coordinate system: How to do it: Use the chain rule for differentiation to convert the derivatives with respect to the Cartesian variables to derivatives with respect to the cylindrical variables. The chain ...
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