Just about every network employs a handful of former pros to provide color commentary and expert analysis as a part of their coverage of the sport. Let's try to count the degrees of freedrom we have at each step of this Taylor series development.It’s not unheard of for former MLB players to wind up working in TV after their baseball careers are over. These three quantities represent constant coefficients that we are allowed to choose freely in order to find a local inertial frame around the event P. We recall from our article Generalisation of the metric tensor in pseudo-Riemannian manifold that an arbitrary metric could be expressed as:Īnd more generally that the components of a metric tensor in primed coordinate system could be expressed in non primed coordinates as:Įach of the partial derivatives is a function of the primed coordinates so, for a region close to the event point P, we can expand these derivatives in Taylor series: If we take the analogy of the curved surface of the earth, we have to isolate lots of little square patches, each patch being pretty near flat.
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