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The story revolves around Shu Ouma, a high school boy who inadvertently obtains an ability called Power of the King that enables him to draw out. A circular disk rolling on a horizontal surface without slip is a common example of a nonholonomic problem of Lagrangian mechanics. In the literature, very few such problems have been attacked developing simple and interesting results. Paraxial Optics systems, matrix calculation, Lagrange invariant, phase space visualization Pupil, ray sets and sampling, aperture and vignetting, telecentricity, symmetry, 4 08. Optical Systems photometry Longitudinal and transverse aberrations, spot diagram, polynomial expansion, 5 15. The angular velocity of link 2 in (0) can be written in terms of the unit vectors of the reference frame (2) as 20 q1 c2 2 q2 2 q1 s2 k2. s2 1 c2 k1 s2 0 c2 s1 0 c1 c2 k0. Project CARS is the thrill of intense racing action in beautiful cars at stunning venues. Authentic and intuitive handling, truly dynamic weather, and a wealth of game modes delivers racing fun for everyone. To make the emphasis even stronger, we remind the reader that Lagrange's equations of the second kind, in the Euler angle representation, are used to formulate and solve for the motion of the symmetric top with one point fixed in space (Lagrange's top). GENERAL I ARTICLE The Work of Lagrange in Number Theory and Algebra D P Patil, C R Pranesachar and Renuka RafJindran (left) D P Patil got his Ph. D from the School of Math ematics, TIFR and joined.