Glossary - T
All terms beginning with the letter 'T' are shown below:
| Tangent vector: | ??? |
| Tensors: | actually second rank tensors are usually denoted by letters with two components as Dij; second rank tensors are also conveniently represented by matrices. |
| Tensor fields: | A second rank tensor field D(x,y,z,t) can be visualized as a field of ellipsoids (3 orthogonal vectors for every point). Examples include stress, strain, strain-rate. |
| Tensor vector dot product: | Tensor vector dot product is a vector formed by matrix multiplication of a tensor and a vector: c = D • v. In the case of stress, the force acting on a plane with normal unit vector n is simply f = σ • n. Each component of the vector is most easily calculated in index notation with ci = Dijvj with summation implied over repeated indices (i.e., c1 = D11v1 + D12v2 + D13v3 and so on for i = 2, 3). |
| Tetrahedron: | ??? |
| Trivial: | ??? | Trivial: | The matrix adj A formed from a square matrix A by replacing the .i; j /-entry of A by the .i; j /-cofactor, for all i and j , and then transposing the resulting matrix. |
| Affine combination: |
A linear combination of vectors (points in Rn ) in which the sum of the weights involved is 1. |
| Affine dependence relation: |
An equation of the form c1 v1 C ! ! ! C cp vp D 0, where the weights c1 ; : : : ; cp are not all zero, and c1 C ! ! ! C cp D 0. |