Known for their complex structure, varnams are a fundamental form in Carnatic music . and as a means of grabbing the attention of the audience.
32.
In " Lila Lahari " the poet acquaints the reader with all the branches of Indian philosophy with " Advaita " being the fundamental form.
33.
Moreover, it now appears that, by no later than the end of the Late Preclassic, the fundamental form of the Main Plaza was in place.
34.
The second is the "'Codazzi & ndash; Mainardi equation "'which expresses the covariant derivatives of the second fundamental form in terms of the normal connection.
35.
The first and second fundamental forms of a surface determine its important differential-geometric invariants : the Gaussian curvature, the mean curvature, and the principal curvatures.
36.
Is a quadratic form on the tangent plane to the surface that, together with the first fundamental form, determines the curvatures of curves on the surface.
37.
More generally, on a Riemannian manifold, the second fundamental form is an equivalent way to describe the shape operator ( denoted by S ) of a hypersurface,
38.
Giuffrida understood the minutiae at the heart of the elements he analysed as fundamental forms of nature, which are combined in natural creation in myriad, endlessly varied formations.
39.
Its culmination is the book " Clifford Algebra to Geometric Calculus " which follows an approach to differential geometry that uses the shape tensor ( second fundamental form ).
40.
The first fundamental form may be viewed as a family of positive definite symmetric bilinear forms on the tangent plane at each point of the surface depending smoothly on the point.
