fundamental form वाक्य
उदाहरण वाक्य
मोबाइल
- Then the Codazzi-Mainardi equation expressing a compatibility condition between the first and second fundamental forms results in the sine-Gordon equation.
- Here the curvature of a curve is by definition the principal axes of a symmetric tensor & mdash; the second fundamental form.
- We assume that " M " has no points where the second fundamental form is transverse vector field over " M ".
- While the exterior style may vary the fundamental form and principles of Vaastu Shastras were used as far back as King Solomon's temple.
- Stockhausen used a basic graphic notation to indicate how each loop should be altered from its fundamental form through pitch and tempo changes.
- Stein has had a powerful effect, too, on writers like Donald Barthelme and William Gass who have questioned the fundamental forms of fiction.
- To connect this point of view with the embedded into "'R "'3 and endowed with the Riemannian metric given by the first fundamental form.
- The first fundamental form evaluated on this pair of vectors is their dot product, and the angle can be found from the standard formula
- The second fundamental form, which determines the full curvature via the principal directions of the hypersurface are also the eigendirections of the Ricci tensor.
- The first equation is the "'Gauss equation "'which expresses the curvature form ? of " M " in terms of the second fundamental form.
- Known for their complex structure, varnams are a fundamental form in Carnatic music . and as a means of grabbing the attention of the audience.
- In " Lila Lahari " the poet acquaints the reader with all the branches of Indian philosophy with " Advaita " being the fundamental form.
- 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.
- The second is the "'Codazzi & ndash; Mainardi equation "'which expresses the covariant derivatives of the second fundamental form in terms of the normal connection.
- 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.
- 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.
- 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,
- 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.
- 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 ).
- 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.
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