Any number of possibilities exist for the choice of generalized coordinates to be used for a given problem. As mentioned earlier in the lecture, we need to guarantee that the choice of coordinates ...

Recall that you must choose a set of independent coordinates PRIOR to using Lagrange’s equations. One way to verify that your choice of generalized coordinates are independent is to: hold all but one ...

Mathematics of Operations Research, Vol. 41, No. 4 (November 2016), pp. 1535-1556 (22 pages) The paper concerns the computation of the graphical derivative and the regular (Fréchet) coderivative of ...

Motivated by regression analysis for microbiome compositional data, this article considers generalized linear regression analysis with compositional covariates, where a group of linear constraints on ...