On Twitter, G+,and my blog, I mention that I'm a new dad. However, thus far, I've failed to write much if anything on being said dad. Tomorrow that changes. My inspiration is two-fold, first, I need to keep my writing practice up, and that's hard to do with writing about physics if you're not working in physics all day, every day. The second inspiration is that I finally found a parenting blog that I enjoy! It's written by Australian home-schooler/unschooler Sarah. Her blog is titled Happiness is Here. It's right up my alley, and if you enjoy stories of laissez-faire parenting, you might like it to. Anyhow, finding a somewhat similar voice in the mash of the internet, I'm bolstered to loose my own Dad sort of thoughts. There'll still be posts on math, physics, and the like, but starting tomorrow, dad posts will cohabitate with the rest!
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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