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Before giving the definition of the conjugate cone associated with an affine closed trajectory, let me explain the notation used.

In this talk, we denote point (l, m, n) …

For example, the “peaks and valleys” on the left is described as shown on the right. And, vectors (1, 0, 0), (0, 0, 1), and (0,1,0) are denoted by x1, x2, and x3 respectively.